Zaynes/D-EVAL__standard_eval_v3__exp_v2__init_test2-eval_0

Find a way to make 113 using all of these numbers: 83, 30. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

30 + 83

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [83, 30], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6259, \"numbers\": [83, 30], \"target\": 113, \"expression\": \"30 + 83\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6259, "numbers": [83, 30], "target": 113, "expression": "30 + 83"}

null

[ "To solve this problem, we need to use the numbers 83 and 30 exactly once and apply basic arithmetic operations to get the target number 113. Let's break it down:\n\n1. First, let's try adding 83 and 30:\n 83 + 30 = 113\n\nThis equation uses both numbers exactly once and results in the target number 113. Therefore, our final answer is:\n\n<answer>\nStep 1: 83 + 30 = 113\n</answer>" ]

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[ true ]

[ "Step 1: 83 + 30 = 113" ]

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[ [ "Step 1: 83 + 30 = 113" ] ]

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2025-07-26

Using all the numbers 40, 21, create an expression that equals 840. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

40*21

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [40, 21], create an equation that equals 840. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6451, \"numbers\": [40, 21], \"target\": 840, \"expression\": \"40*21\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6451, "numbers": [40, 21], "target": 840, "expression": "40*21"}

null

[ "To solve this problem, we need to use the numbers 40 and 21 exactly once and apply basic arithmetic operations to get the target number 840. Let's break it down:\n\n1. First, let's try adding 40 and 21 together:\n 40 + 21 = 61\n\n2. Now, we have 61 left to reach our target of 840. We can multiply this sum by 14 to get close to 840:\n 61 * 14 = 854\n\nHowever, 854 is still not quite there. We need to adjust our approach slightly. Instead of multiplying directly, let's consider using subtraction or division to get closer to 840 from our initial addition.\n\n3. If we subtract 14 from 854:\n 854 - 14 = 840\n\nThis gives us the exact number we want (840). So, the sequence of steps would be:\n\n- Start with 40 + 21 = 61\n- Then, multiply by 14 to get 854\n- Finally, subtract 14 to get 840\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 40 + 21 = 61\nStep 2: 61 * 14 = 854\nStep 3: 854 - 14 = 840\n</answer>" ]

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[ "Step 1: 40 + 21 = 61\nStep 2: 61 * 14 = 854\nStep 3: 854 - 14 = 840" ]

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[{"answer_block": "Step 1: 40 + 21 = 61\nStep 2: 61 * 14 = 854\nStep 3: 854 - 14 = 840", "error": "Line uses unavailable numbers: Step 2: 61 * 14 = 854", "final_answer": 854.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 40 + 21 = 61\nStep 2: 61 * 14 = 854\nStep 3: 854 - 14 = 840" ] ]

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2025-07-26

Find a way to make 891 using all of these numbers: 33, 27. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

27*33

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [33, 27], create an equation that equals 891. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5575, \"numbers\": [33, 27], \"target\": 891, \"expression\": \"27*33\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5575, "numbers": [33, 27], "target": 891, "expression": "27*33"}

null

[ "To solve this problem, we need to combine the given numbers [33, 27] using basic arithmetic operations (+, -, *, /) so that the result equals 891. Let's break it down:\n\nStep 1: We start with the two numbers provided: 33 and 27.\nStep 2: To get close to 891, we should consider multiplication because it grows quickly. Multiplying these two numbers gives us:\n 33 * 27 = 891\n\nTherefore, the equation that equals 891 using the numbers [33, 27] is simply their product.\n\nFinal Answer:\n<answer>\nStep 1: 33 * 27 = 891\n</answer>" ]

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[ true ]

[ "Step 1: 33 * 27 = 891" ]

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[ [ "Step 1: 33 * 27 = 891" ] ]

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2025-07-26

Calculate 117 using all of these numbers: 77, 40. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

77 + 40

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [77, 40], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5579, \"numbers\": [77, 40], \"target\": 117, \"expression\": \"77 + 40\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5579, "numbers": [77, 40], "target": 117, "expression": "77 + 40"}

null

[ "To solve this problem, we need to use the numbers 77 and 40 with basic arithmetic operations to get the target number 117. Let's break it down:\n\nStep 1: We start with the number 77.\nStep 2: To reach 117, we need to add some more to 77. The closest multiple of 77 below 117 is 77 itself (since 77 * 1 = 77).\nStep 3: Now, we have 77 on one side and 40 on the other side. We need to find a way to combine these two numbers to get 117.\nStep 4: If we subtract 40 from 77, we get 37.\nStep 5: Adding 80 to 37 gives us 117.\n\nSo, the equation would be:\n77 - 40 + 80 = 117\n\nFinal answer: \n<answer>\nStep 1: 77 - 40 = 37\nStep 2: 37 + 80 = 117\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [77, 40], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 77 - 40 = 37\nStep 2: 37 + 80 = 117" ]

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[{"answer_block": "Step 1: 77 - 40 = 37\nStep 2: 37 + 80 = 117", "error": "Line uses unavailable numbers: Step 2: 37 + 80 = 117", "final_answer": 117.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 77 - 40 = 37\nStep 2: 37 + 80 = 117" ] ]

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2025-07-26

Find a way to make 660 using all of these numbers: 66, 10. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

10*66

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [66, 10], create an equation that equals 660. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6338, \"numbers\": [66, 10], \"target\": 660, \"expression\": \"10*66\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6338, "numbers": [66, 10], "target": 660, "expression": "10*66"}

null

[ "To solve this problem, we need to use the numbers 66 and 10 exactly once and apply basic arithmetic operations to get the target number 660. Let's break it down:\n\n1. First, let's try adding 66 and 10 together:\n 66 + 10 = 76\n\n2. Now, we have 76 left to reach our target of 660. We can multiply 76 by 9 to get close to 660:\n 76 * 9 = 684\n\n3. However, we are still short of 660. To get closer, we can add 10 again (since we already used 10):\n 684 + 10 = 694\n\n4. Finally, we need one more step to reach 660. We can subtract 10 from 694:\n 694 - 10 = 684\n\n5. But we made a mistake earlier when trying to reach 660 directly with multiplication. Instead, let's correct this by using division:\n 660 ÷ 10 = 66\n\n6. Now, we have 66 left to reach 660. We can multiply 66 by 10:\n 66 * 10 = 660\n\nSo, the complete sequence of steps is:\n- Start with 66 and 10\n- Add them together: 66 + 10 = 76\n- Multiply by 9: 76 * 9 = 684\n- Subtract 10: 684 - 10 = 674\n- Divide by 10: 674 ÷ 10 = 67.4\n- Multiply by 10: 67.4 * 10 = 674\n- Correctly divide by 10: 660 ÷ 10 = 66\n- Multiply by 10: 66 * 10 = 660\n\nTherefore, the final answer is:\n<answer>\nStep 1: 66 + 10 = 76\nStep 2: 76 * 9 = 684\nStep 3: 684 - 10 = 674\nStep 4: 674 ÷ 10 = 67.4\nStep 5: 67.4 * 10 = 674\nStep 6: 660 ÷ 10 = 66\nStep 7: 66 * 10 = 660\n</answer>" ]

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{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 66 + 10 = 76\nStep 2: 76 * 9 = 684\nStep 3: 684 - 10 = 674\nStep 4: 674 ÷ 10 = 67.4\nStep 5: 67.4 * 10 = 674\nStep 6: 660 ÷ 10 = 66\nStep 7: 66 * 10 = 660" ]

{"all_spans_summary": [{"answer": "Step 1: 66 + 10 = 76\nStep 2: 76 * 9 = 684\nStep 3: 684 - 10 = 674\nStep 4: 674 \u00f7 10 = 67.4\nStep 5: 67.4 * 10 = 674\nStep 6: 660 \u00f7 10 = 66\nStep 7: 66 * 10 = 660", "context": "<answer> block with step-by-step solution", "end_line": 39, "start_line": 33}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 66 + 10 = 76\nStep 2: 76 * 9 = 684\nStep 3: 684 - 10 = 674\nStep 4: 674 \u00f7 10 = 67.4\nStep 5: 67.4 * 10 = 674\nStep 6: 660 \u00f7 10 = 66\nStep 7: 66 * 10 = 660", "context": "<answer> block with step-by-step solution", "end_line": 39, "end_pos": 1286, "start_line": 33, "start_pos": 1129}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 66 + 10 = 76\nStep 2: 76 * 9 = 684\nStep 3: 684 - 10 = 674\nStep 4: 674 \u00f7 10 = 67.4\nStep 5: 67.4 * 10 = 674\nStep 6: 660 \u00f7 10 = 66\nStep 7: 66 * 10 = 660", "error": "Line uses unavailable numbers: Step 2: 76 * 9 = 684", "final_answer": 684.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 66 + 10 = 76\nStep 2: 76 * 9 = 684\nStep 3: 684 - 10 = 674\nStep 4: 674 ÷ 10 = 67.4\nStep 5: 67.4 * 10 = 674\nStep 6: 660 ÷ 10 = 66\nStep 7: 66 * 10 = 660" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 66 + 10 = 76\nStep 2: 76 * 9 = 684\nStep 3: 684 - 10 = 674\nStep 4: 674 \u00f7 10 = 67.4\nStep 5: 67.4 * 10 = 674\nStep 6: 660 \u00f7 10 = 66\nStep 7: 66 * 10 = 660", "context": "<answer> block with step-by-step solution", "end_line": 39, "end_pos": 1286, "start_line": 33, "start_pos": 1129}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 1286, "line_range": "33-39", "start_pos": 1129}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 66 + 10 = 76\\nStep 2: 76 * 9 = 684\\nStep 3: 684 - 10 = 674\\nStep 4: 674 \u00f7 10 = 67.4\\nStep 5: 67.4 * 10 = 674\\nStep 6: 660 \u00f7 10 = 66\\nStep 7: 66 * 10 = 660', 'error': 'Line uses unavailable numbers: Step 2: 76 * 9 = 684', 'final_answer': 684.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 102 using all of these numbers: 43, 59. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

59 + 43

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [43, 59], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6345, \"numbers\": [43, 59], \"target\": 102, \"expression\": \"59 + 43\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6345, "numbers": [43, 59], "target": 102, "expression": "59 + 43"}

null

[ "To solve this problem, we need to use the numbers 43 and 59 along with basic arithmetic operations to reach the target number 102. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 43 + 59 = 102\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 43 + 59 = 102\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [43, 59], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 43 + 59 = 102" ]

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[{"answer_block": "Step 1: 43 + 59 = 102", "error": null, "final_answer": 102.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 43 + 59 = 102" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 43 + 59 = 102", "context": "<answer> Step 1: 43 + 59 = 102 </answer>", "end_line": 9, "end_pos": 389, "start_line": 9, "start_pos": 367}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 389, "line_range": "9-9", "start_pos": 367}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 43 + 59 = 102', 'error': None, 'final_answer': 102.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 6, 54, create an expression that equals 324. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

54*6

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [6, 54], create an equation that equals 324. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5080, \"numbers\": [6, 54], \"target\": 324, \"expression\": \"54*6\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5080, "numbers": [6, 54], "target": 324, "expression": "54*6"}

null

[ "To solve this problem, we need to use the numbers 6 and 54 along with basic arithmetic operations to get the target number 324. Let's break it down:\n\n1. First, let's try multiplying 54 by 6:\n 54 * 6 = 324\n\nThis multiplication directly gives us the target number without needing any additional steps or operations. Therefore, our final answer is:\n\n<answer>\nStep 1: 54 * 6 = 324\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [6, 54], create an equation that equals 324. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 54 * 6 = 324" ]

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[{"answer_block": "Step 1: 54 * 6 = 324", "error": null, "final_answer": 324.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 54 * 6 = 324" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 54 * 6 = 324", "context": "<answer> Step 1: 54 * 6 = 324 </answer>", "end_line": 9, "end_pos": 379, "start_line": 9, "start_pos": 358}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 379, "line_range": "9-9", "start_pos": 358}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 54 * 6 = 324', 'error': None, 'final_answer': 324.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 54, 58, create an expression that equals 112. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

54 + 58

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [54, 58], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5644, \"numbers\": [54, 58], \"target\": 112, \"expression\": \"54 + 58\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5644, "numbers": [54, 58], "target": 112, "expression": "54 + 58"}

null

[ "To solve this problem, we need to use the numbers 54 and 58 exactly once and apply basic arithmetic operations to get the target number 112. Let's break it down:\n\nStep 1: We start with the two given numbers, 54 and 58.\nStep 2: To reach the target number 112, we should consider adding or subtracting these numbers since multiplication and division would likely exceed our target quickly.\nStep 3: One way to approach this is to add 58 to 54, which gives us 112 directly.\n\nTherefore, the equation using the numbers 54 and 58 exactly once to equal 112 is:\n\n<answer>\nStep 1: 54 + 58 = 112\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [54, 58], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 54 + 58 = 112" ]

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[{"answer_block": "Step 1: 54 + 58 = 112", "error": null, "final_answer": 112.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 54 + 58 = 112" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 54 + 58 = 112", "context": "<answer> Step 1: 54 + 58 = 112 </answer>", "end_line": 10, "end_pos": 585, "start_line": 10, "start_pos": 563}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 585, "line_range": "10-10", "start_pos": 563}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 54 + 58 = 112', 'error': None, 'final_answer': 112.0, 'is_correct': True}]"}]

2025-07-26

Calculate 114 using all of these numbers: 3, 38. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

38*3

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [3, 38], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5755, \"numbers\": [3, 38], \"target\": 114, \"expression\": \"38*3\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5755, "numbers": [3, 38], "target": 114, "expression": "38*3"}

null

[ "To solve this problem, we need to use the numbers 3 and 38 exactly once and apply basic arithmetic operations to get the target number 114.\n\nHere’s how we can break it down:\n\n1. First, let's try adding 38 to itself three times:\n - 38 + 38 = 76\n - 76 + 38 = 114\n\nSo, the equation using the numbers 3 and 38 exactly once is:\n- 38 + 38 + 38 = 114\n\nTherefore, the steps are:\n- Step 1: 38 + 38 = 76\n- Step 2: 76 + 38 = 114\n\n<answer>\nStep 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [3, 38], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114" ]

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[{"answer_block": "Step 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114", "error": "Line uses unavailable numbers: Step 1: 38 + 38 = 76", "final_answer": 76.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114", "context": "<answer> ... </answer>", "end_line": 18, "end_pos": 475, "start_line": 16, "start_pos": 423}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 475, "line_range": "16-18", "start_pos": 423}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 38 + 38 = 76\\nStep 2: 76 + 38 = 114', 'error': 'Line uses unavailable numbers: Step 1: 38 + 38 = 76', 'final_answer': 76.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 131 using all of these numbers: 78, 53. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

78 + 53

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [78, 53], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5764, \"numbers\": [78, 53], \"target\": 131, \"expression\": \"78 + 53\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5764, "numbers": [78, 53], "target": 131, "expression": "78 + 53"}

null

[ "To solve this problem, we need to use the numbers 78 and 53 exactly once and apply basic arithmetic operations to get the target number 131. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 78 + 53 = 131\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 78 + 53 = 131\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [78, 53], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ true ]

[ "Step 1: 78 + 53 = 131" ]

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[ [ "Step 1: 78 + 53 = 131" ] ]

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[{"value": "[{'answer_block': 'Step 1: 78 + 53 = 131', 'error': None, 'final_answer': 131.0, 'is_correct': True}]"}]

2025-07-26

Calculate 782 using all of these numbers: 46, 17. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

17*46

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [46, 17], create an equation that equals 782. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6769, \"numbers\": [46, 17], \"target\": 782, \"expression\": \"17*46\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6769, "numbers": [46, 17], "target": 782, "expression": "17*46"}

null

[ "To solve this problem, we need to find a combination of the given numbers [46, 17] using basic arithmetic operations (+, -, *, /) that results in the target number 782.\n\nStep 1: Let's start with multiplication since it often helps in creating larger numbers quickly.\n - We know that 46 * 17 = 782\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 46 * 17 = 782\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [46, 17], create an equation that equals 782. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 46 * 17 = 782" ]

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[ [ "Step 1: 46 * 17 = 782" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 46 * 17 = 782", "context": "<answer> Step 1: 46 * 17 = 782 </answer>", "end_line": 9, "end_pos": 364, "start_line": 9, "start_pos": 342}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 364, "line_range": "9-9", "start_pos": 342}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 46 * 17 = 782', 'error': None, 'final_answer': 782.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 159 using all of these numbers: 93, 66. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

66 + 93

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [93, 66], create an equation that equals 159. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6011, \"numbers\": [93, 66], \"target\": 159, \"expression\": \"66 + 93\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6011, "numbers": [93, 66], "target": 159, "expression": "66 + 93"}

null

[ "To solve this problem, we need to use the numbers 93 and 66 exactly once and apply basic arithmetic operations to get the target number 159. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 93 + 66 = 159\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\nAnswer: 93 + 66 = 159" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [93, 66], create an equation that equals 159. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "93 + 66 = 159" ]

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[{"answer_block": "93 + 66 = 159", "error": null, "final_answer": 159.0, "is_correct": true, "method": null, "reason": null}]

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[ [ "93 + 66 = 159" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "93 + 66 = 159", "context": "Answer: 93 + 66 = 159", "end_line": 8, "end_pos": 389, "start_line": 8, "start_pos": 368}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 389, "line_range": "8-8", "start_pos": 368}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': '93 + 66 = 159', 'error': None, 'final_answer': 159.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 105 using all of these numbers: 8, 97. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

97 + 8

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [8, 97], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6015, \"numbers\": [8, 97], \"target\": 105, \"expression\": \"97 + 8\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6015, "numbers": [8, 97], "target": 105, "expression": "97 + 8"}

null

[ "To solve this problem using the numbers [8, 97] and creating an equation that equals 105, we need to find a combination of these numbers with basic arithmetic operations that will give us the desired result.\n\nHere’s how we can approach it:\n\n1. **Identify the goal**: We want to get the result 105 from the given numbers 8 and 97.\n2. **Consider possible operations**: Addition, subtraction, multiplication, and division are all potential operations we could use.\n3. **Try different combinations**:\n - Start with simple addition or subtraction: \n - \\( 97 + 8 = 105 \\)\n This works directly without needing any other operations.\n \nSince we have found a straightforward way to achieve the result using just two steps (addition), there isn't really a need to explore more complex combinations involving multiplication or division because they would likely require additional numbers which aren’t available in our set.\n\nTherefore, the solution is:\n\n<answer>\nStep 1: 97 + 8 = 105\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [8, 97], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

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[ "Step 1: 97 + 8 = 105" ]

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[{"answer_block": "Step 1: 97 + 8 = 105", "error": null, "final_answer": 105.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 97 + 8 = 105" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 97 + 8 = 105", "context": "<answer> Step 1: 97 + 8 = 105 </answer>", "end_line": 17, "end_pos": 984, "start_line": 17, "start_pos": 963}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 984, "line_range": "17-17", "start_pos": 963}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 97 + 8 = 105', 'error': None, 'final_answer': 105.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 636 using all of these numbers: 12, 53. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

53*12

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [12, 53], create an equation that equals 636. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6667, \"numbers\": [12, 53], \"target\": 636, \"expression\": \"53*12\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6667, "numbers": [12, 53], "target": 636, "expression": "53*12"}

null

[ "To solve this problem, we need to find a combination of the given numbers [12, 53] using basic arithmetic operations (+, -, *, /) that results in the target number 636.\n\nStep 1: Let's start with the multiplication operation since it often helps in creating larger numbers quickly.\n\nMultiplication: \n- We know that multiplying two large numbers can lead us closer to our target number.\n- Multiplying 53 by any number close to 12 would give us a number around 636.\n\nSo, let's try multiplying 53 by 12:\n53 * 12 = 636\n\nThis gives us exactly what we want without needing to perform additional steps or complex calculations.\n\nTherefore, the final answer is:\n<answer>\nStep 1: 53 * 12 = 636\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [12, 53], create an equation that equals 636. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[{"answer_block": "Step 1: 53 * 12 = 636", "error": null, "final_answer": 636.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 53 * 12 = 636" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 53 * 12 = 636", "context": "<answer> Step 1: 53 * 12 = 636 </answer>", "end_line": 16, "end_pos": 683, "start_line": 16, "start_pos": 661}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 683, "line_range": "16-16", "start_pos": 661}], "total_internal_spans": 1, "total_spans": 1}

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2025-07-26

Using all the numbers 28, 92, create an expression that equals 120. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

92 + 28

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [28, 92], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5628, \"numbers\": [28, 92], \"target\": 120, \"expression\": \"92 + 28\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5628, "numbers": [28, 92], "target": 120, "expression": "92 + 28"}

null

[ "To solve this problem, we need to find a combination of the given numbers [28, 92] using basic arithmetic operations (+, -, *, /) that results in the target number 120.\n\nStep 1: Let's start with the larger number, 92, and see if we can get close to 120.\nStep 2: We can try subtracting smaller numbers from 92 to see if we can reach 120.\nStep 3: If we subtract 28 from 92, we get 64.\nStep 4: Now, we have 64 left to reach 120. To do this, we can add 56 (which is 120 - 64).\nStep 5: So, our equation would be: 92 - 28 + 56 = 120\n\nTherefore, the final answer is:\n<answer>\nStep 1: 92 - 28 = 64\nStep 2: 64 + 56 = 120\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [28, 92], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 92 - 28 = 64\nStep 2: 64 + 56 = 120" ]

{"all_spans_summary": [{"answer": "Step 1: 92 - 28 = 64\nStep 2: 64 + 56 = 120", "context": "<answer> ... </answer>", "end_line": 12, "start_line": 11}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 92 - 28 = 64\nStep 2: 64 + 56 = 120", "context": "<answer> ... </answer>", "end_line": 12, "end_pos": 612, "start_line": 11, "start_pos": 569}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 92 - 28 = 64\nStep 2: 64 + 56 = 120", "error": "Line uses unavailable numbers: Step 2: 64 + 56 = 120", "final_answer": 120.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 92 - 28 = 64\nStep 2: 64 + 56 = 120" ] ]

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[{"value": "[{'answer_block': 'Step 1: 92 - 28 = 64\\nStep 2: 64 + 56 = 120', 'error': 'Line uses unavailable numbers: Step 2: 64 + 56 = 120', 'final_answer': 120.0, 'is_correct': False}]"}]

2025-07-26

Using all the numbers 11, 42, create an expression that equals 462. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

11*42

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [11, 42], create an equation that equals 462. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6587, \"numbers\": [11, 42], \"target\": 462, \"expression\": \"11*42\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6587, "numbers": [11, 42], "target": 462, "expression": "11*42"}

null

[ "To solve this problem, we need to use the numbers 11 and 42 exactly once and apply basic arithmetic operations to get the target number 462. Let's break it down:\n\n1. First, let's try adding 11 and 42 together:\n 11 + 42 = 53\n\n2. Now, we have 53 left from our original sum. We need to reach 462. To do this, we should multiply 53 by some number to get close to 462.\n\n3. If we divide 462 by 53, we get approximately 8.79, which isn't an integer. So, we'll round up or down slightly to find the exact operation needed.\n\n4. Let's try multiplying 53 by 8:\n 53 * 8 = 424\n\n5. This is very close but still less than 462. We need to add more to reach 462.\n\n6. Adding 38 (which is 462 - 424) gives us:\n 424 + 38 = 462\n\nSo, the final equation using the numbers 11 and 42 exactly once is:\n(11 + 42) * 8 + 38 = 462\n\nTherefore, the steps are:\nStep 1: 11 + 42 = 53\nStep 2: 53 * 8 = 424\nStep 3: 424 + 38 = 462\n\n<answer>\nStep 1: 11 + 42 = 53\nStep 2: 53 * 8 = 424\nStep 3: 424 + 38 = 462\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [11, 42], create an equation that equals 462. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ false ]

[ "Step 1: 11 + 42 = 53\nStep 2: 53 * 8 = 424\nStep 3: 424 + 38 = 462" ]

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[{"answer_block": "Step 1: 11 + 42 = 53\nStep 2: 53 * 8 = 424\nStep 3: 424 + 38 = 462", "error": "Line uses unavailable numbers: Step 2: 53 * 8 = 424", "final_answer": 424.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 11 + 42 = 53\nStep 2: 53 * 8 = 424\nStep 3: 424 + 38 = 462" ] ]

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[{"value": "[{'answer_block': 'Step 1: 11 + 42 = 53\\nStep 2: 53 * 8 = 424\\nStep 3: 424 + 38 = 462', 'error': 'Line uses unavailable numbers: Step 2: 53 * 8 = 424', 'final_answer': 424.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 176 using all of these numbers: 82, 94. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

82 + 94

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [82, 94], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6417, \"numbers\": [82, 94], \"target\": 176, \"expression\": \"82 + 94\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6417, "numbers": [82, 94], "target": 176, "expression": "82 + 94"}

null

[ "To solve this problem, we need to find a combination of the given numbers [82, 94] using basic arithmetic operations (+, -, *, /) that results in the target number 176.\n\nStep 1: Let's start with the larger number, 94, and see if we can get close to 176.\nStep 2: We can try subtracting 82 from 94 to get closer to our target.\nStep 3: 94 - 82 = 12\n\nNow we have 12 left to reach 176. To do this, we can multiply 12 by 14 (since 176 ÷ 12 = 14).\nStep 4: 12 * 14 = 176\n\nSo, the final equation is:\n94 - 82 = 12\n12 * 14 = 176\n\nTherefore, the steps are:\nStep 1: 94 - 82 = 12\nStep 2: 12 * 14 = 176" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [82, 94], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "94 - 82 = 12\n12 * 14 = 176" ]

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[{"answer_block": "94 - 82 = 12\n12 * 14 = 176", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "94 - 82 = 12\n12 * 14 = 176" ] ]

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[{"value": "[{'answer_block': '94 - 82 = 12\\n12 * 14 = 176', 'error': 'Could not evaluate expression', 'final_answer': None, 'is_correct': False}]"}]

2025-07-26

Calculate 516 using all of these numbers: 6, 86. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

6*86

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [6, 86], create an equation that equals 516. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5415, \"numbers\": [6, 86], \"target\": 516, \"expression\": \"6*86\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5415, "numbers": [6, 86], "target": 516, "expression": "6*86"}

null

[ "To solve this problem, we need to use the numbers 6 and 86 exactly once and apply basic arithmetic operations to get the target number 516. Let's break it down:\n\n1. First, let's try adding 6 and 86 together:\n 6 + 86 = 92\n\n2. Now, we have 92 left from our original set of numbers (86 - 6). We need to find a way to combine these two numbers to reach 516.\n\n3. Since 92 is less than 516, we should consider multiplication or division. Multiplying 92 by any number greater than 1 would exceed 516 quickly. Therefore, we'll focus on addition and subtraction with 86.\n\n4. If we subtract 86 from 516, we get:\n 516 - 86 = 430\n\n5. Now, we need to add 6 to 430:\n 430 + 6 = 436\n\n6. Finally, we need to adjust our previous steps to match the required operation. Instead of subtracting 86, we can multiply 86 by 6:\n 86 * 6 = 516\n\nSo, combining all these steps, we get the following sequence of operations:\n\nStep 1: 86 * 6 = 516\nStep 2: 516 - 86 = 430\nStep 3: 430 + 6 = 436\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 86 * 6 = 516\nStep 2: 516 - 86 = 430\nStep 3: 430 + 6 = 436\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [6, 86], create an equation that equals 516. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 86 * 6 = 516\nStep 2: 516 - 86 = 430\nStep 3: 430 + 6 = 436" ]

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[ [ false ] ]

[ [ "Step 1: 86 * 6 = 516\nStep 2: 516 - 86 = 430\nStep 3: 430 + 6 = 436" ] ]

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2025-07-26

Calculate 108 using all of these numbers: 36, 3. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

3*36

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [36, 3], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6755, \"numbers\": [36, 3], \"target\": 108, \"expression\": \"3*36\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6755, "numbers": [36, 3], "target": 108, "expression": "3*36"}

null

[ "To solve this problem, we need to use the numbers 36 and 3 exactly once and apply basic arithmetic operations to get the target number 108.\n\nHere’s how we can do it:\n\n1. Start with the number 36.\n2. We need to reach 108 from 36 using multiplication or division.\n3. The closest multiple of 36 that is close to 108 is 96 (since \\(36 \\times 2.67\\) is approximately 100).\n4. To get closer to 108, we can add 12 more to 96, which gives us 108.\n\nSo, let's break it down into steps:\n\n- First, multiply 36 by 3 to get 108.\n\nTherefore, the equation is:\n\\[ 36 \\times 3 = 108 \\]\n\nFinal answer:\n<answer>\nStep 1: 36 * 3 = 108\n</answer>" ]

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[ "Step 1: 36 * 3 = 108" ]

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[ [ true ] ]

[ [ "Step 1: 36 * 3 = 108" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 36 * 3 = 108", "context": "<answer> Step 1: 36 * 3 = 108 </answer>", "end_line": 19, "end_pos": 613, "start_line": 19, "start_pos": 592}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 613, "line_range": "19-19", "start_pos": 592}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 36 * 3 = 108', 'error': None, 'final_answer': 108.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 125 using all of these numbers: 41, 84. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

84 + 41

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [41, 84], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5438, \"numbers\": [41, 84], \"target\": 125, \"expression\": \"84 + 41\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5438, "numbers": [41, 84], "target": 125, "expression": "84 + 41"}

null

[ "To solve this problem, we need to use the numbers 41 and 84 exactly once and apply basic arithmetic operations to get the target number 125. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 41 + 84 = 125\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 41 + 84 = 125\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [41, 84], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 41 + 84 = 125" ]

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[{"answer_block": "Step 1: 41 + 84 = 125", "error": null, "final_answer": 125.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 41 + 84 = 125" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 41 + 84 = 125", "context": "<answer> Step 1: 41 + 84 = 125 </answer>", "end_line": 9, "end_pos": 399, "start_line": 9, "start_pos": 377}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 399, "line_range": "9-9", "start_pos": 377}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 41 + 84 = 125', 'error': None, 'final_answer': 125.0, 'is_correct': True}]"}]

2025-07-26

Calculate 141 using all of these numbers: 85, 56. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

56 + 85

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [85, 56], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5483, \"numbers\": [85, 56], \"target\": 141, \"expression\": \"56 + 85\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5483, "numbers": [85, 56], "target": 141, "expression": "56 + 85"}

null

[ "To solve this problem, we need to use the numbers 85 and 56 exactly once and apply basic arithmetic operations to get the target number 141. Let's break it down:\n\n1. First, let's try adding 85 and 56 together:\n 85 + 56 = 141\n\nThis equation uses both numbers exactly once and results in the target number 141. Therefore, our final answer is:\n\n<answer>\nStep 1: 85 + 56 = 141\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [85, 56], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 85 + 56 = 141" ]

{"all_spans_summary": [{"answer": "Step 1: 85 + 56 = 141", "context": "<answer> Step 1: 85 + 56 = 141 </answer>", "end_line": 9, "start_line": 9}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 85 + 56 = 141", "context": "<answer> Step 1: 85 + 56 = 141 </answer>", "end_line": 9, "end_pos": 375, "start_line": 9, "start_pos": 353}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 85 + 56 = 141", "error": null, "final_answer": 141.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 85 + 56 = 141" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 85 + 56 = 141", "context": "<answer> Step 1: 85 + 56 = 141 </answer>", "end_line": 9, "end_pos": 375, "start_line": 9, "start_pos": 353}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 375, "line_range": "9-9", "start_pos": 353}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 85 + 56 = 141', 'error': None, 'final_answer': 141.0, 'is_correct': True}]"}]

2025-07-26

Calculate 131 using all of these numbers: 93, 38. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

38 + 93

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [93, 38], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5058, \"numbers\": [93, 38], \"target\": 131, \"expression\": \"38 + 93\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5058, "numbers": [93, 38], "target": 131, "expression": "38 + 93"}

null

[ "To solve this problem, we need to use the numbers 93 and 38 exactly once and apply basic arithmetic operations to get the target number 131. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 93 + 38 = 131\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 93 + 38 = 131\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [93, 38], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 93 + 38 = 131" ]

{"all_spans_summary": [{"answer": "Step 1: 93 + 38 = 131", "context": "<answer> Step 1: 93 + 38 = 131 </answer>", "end_line": 9, "start_line": 9}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 93 + 38 = 131", "context": "<answer> Step 1: 93 + 38 = 131 </answer>", "end_line": 9, "end_pos": 399, "start_line": 9, "start_pos": 377}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 93 + 38 = 131", "error": null, "final_answer": 131.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 93 + 38 = 131" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 93 + 38 = 131", "context": "<answer> Step 1: 93 + 38 = 131 </answer>", "end_line": 9, "end_pos": 399, "start_line": 9, "start_pos": 377}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 399, "line_range": "9-9", "start_pos": 377}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 93 + 38 = 131', 'error': None, 'final_answer': 131.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 57, 4, create an expression that equals 228. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

57*4

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [57, 4], create an equation that equals 228. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6115, \"numbers\": [57, 4], \"target\": 228, \"expression\": \"57*4\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6115, "numbers": [57, 4], "target": 228, "expression": "57*4"}

null

[ "To solve this problem, we need to use the numbers 57 and 4 exactly once and apply basic arithmetic operations to get the target number 228. Let's break it down:\n\n1. First, let's try adding 57 and 4:\n 57 + 4 = 61\n\n2. Now, we have 61 left to reach our target of 228. We can multiply 61 by 3 to get close to 228:\n 61 * 3 = 183\n\n3. Finally, we need to add 45 (which is 228 - 183) to reach our target:\n 183 + 45 = 228\n\nSo, the sequence of steps would be:\n- Start with 57 and 4\n- Add them together: 57 + 4 = 61\n- Multiply the sum by 3: 61 * 3 = 183\n- Add the remaining difference: 183 + 45 = 228\n\nTherefore, the final answer is:\n<answer>\nStep 1: 57 + 4 = 61\nStep 2: 61 * 3 = 183\nStep 3: 183 + 45 = 228\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [57, 4], create an equation that equals 228. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 57 + 4 = 61\nStep 2: 61 * 3 = 183\nStep 3: 183 + 45 = 228" ]

{"all_spans_summary": [{"answer": "Step 1: 57 + 4 = 61\nStep 2: 61 * 3 = 183\nStep 3: 183 + 45 = 228", "context": "Therefore, the final answer is:", "end_line": 23, "start_line": 19}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 57 + 4 = 61\nStep 2: 61 * 3 = 183\nStep 3: 183 + 45 = 228", "context": "Therefore, the final answer is:", "end_line": 23, "end_pos": 711, "start_line": 19, "start_pos": 629}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 57 + 4 = 61\nStep 2: 61 * 3 = 183\nStep 3: 183 + 45 = 228", "error": "Line uses unavailable numbers: Step 2: 61 * 3 = 183", "final_answer": 183.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 57 + 4 = 61\nStep 2: 61 * 3 = 183\nStep 3: 183 + 45 = 228" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 57 + 4 = 61\nStep 2: 61 * 3 = 183\nStep 3: 183 + 45 = 228", "context": "Therefore, the final answer is:", "end_line": 23, "end_pos": 711, "start_line": 19, "start_pos": 629}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 711, "line_range": "19-23", "start_pos": 629}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 57 + 4 = 61\\nStep 2: 61 * 3 = 183\\nStep 3: 183 + 45 = 228', 'error': 'Line uses unavailable numbers: Step 2: 61 * 3 = 183', 'final_answer': 183.0, 'is_correct': False}]"}]

2025-07-26

Using all the numbers 18, 15, create an expression that equals 270. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

18*15

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [18, 15], create an equation that equals 270. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5989, \"numbers\": [18, 15], \"target\": 270, \"expression\": \"18*15\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5989, "numbers": [18, 15], "target": 270, "expression": "18*15"}

null

[ "To solve this problem, we need to use the numbers 18 and 15 exactly once and apply basic arithmetic operations to get the target number 270. Let's break it down:\n\n1. First, let's try adding 18 and 15 together:\n 18 + 15 = 33\n\n2. Now, we have 33 left to reach our target of 270. We need to multiply this sum by some number to get close to 270.\n\n3. To find out what number we should multiply 33 by, we divide 270 by 33:\n 270 ÷ 33 ≈ 8.1818\n\nSince we can't use fractions or decimals in this context, we'll round up to the nearest whole number, which is 9.\n\n4. Now, let's check if multiplying 33 by 9 gives us 270:\n 33 * 9 = 297\n\nThis doesn't quite give us 270, so we need to adjust our approach slightly. Instead of using multiplication directly, let's consider other combinations involving addition, subtraction, and division.\n\n5. Let's try subtracting 15 from 18:\n 18 - 15 = 3\n\n6. Now, we have 3 left to reach our target of 270. We need to add this sum (3) to another operation to get closer to 270.\n\n7. Since we already have 33 from the previous step, let's see how we can combine these numbers with addition and subtraction to get closer to 270.\n\n8. If we add 33 to 3:\n 33 + 3 = 36\n\n9. Now, we have 36 left to reach our target of 270. We need to subtract this sum (36) from another operation to get closer to 270.\n\n10. Since we already have 33 from the previous step, let's see how we can combine these numbers with addition and subtraction to get closer to 270.\n\n11. If we subtract 36 from 270:\n 270 - 36 = 234\n\nThis still doesn't quite give us 270, so we need to adjust again. Let's try combining different operations more creatively.\n\n12. Let's try dividing 18 by 3:\n 18 ÷ 3 = 6\n\n13. Now, we have 6 left to reach our target of 270. We need to add this sum (6) to another operation to get closer to 270.\n\n14. Since we already have 33 from the previous step, let's see how we can combine these numbers with addition and subtraction to get closer to 270.\n\n15. If we add 33 to 6:\n 33 + 6 = 39\n\n16. Now, we have 39 left to reach our target of 270. We need to subtract this sum (39) from another operation to get closer to 270.\n\n17. Since we already have 33 from the previous step, let's see how we can combine these numbers with addition and subtraction to get closer to 270.\n\n18. If we subtract 39 from 270:\n 270 - 39 = 231\n\nThis still doesn't quite give us 270, so we need to adjust one last time. Let's try combining different operations more creatively.\n\n19. Let's try multiplying 18 by 15:\n 18 * 15 = 270\n\nWe've reached our target! So, the final equation is:\n\n<answer>\nStep 1: 18 * 15 = 270\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [18, 15], create an equation that equals 270. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 18 * 15 = 270" ]

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[ [ "Step 1: 18 * 15 = 270" ] ]

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2025-07-26

Using all the numbers 31, 30, create an expression that equals 930. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

31*30

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [31, 30], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6186, \"numbers\": [31, 30], \"target\": 930, \"expression\": \"31*30\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6186, "numbers": [31, 30], "target": 930, "expression": "31*30"}

null

[ "To solve this problem, we need to use the numbers 31 and 30 exactly once and apply basic arithmetic operations to get the target number 930. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 31 + 30 = 61\n\n2. Now, we have 61 left to reach our target of 930. We can multiply this sum by another number to get close to 930.\n\n3. To find out what number we should multiply by 61, we divide 930 by 61:\n 930 ÷ 61 ≈ 15.28\n\nSince we can't use fractions or decimals in this context, we'll round up to the nearest whole number, which is 16.\n\n4. Now, let's multiply 61 by 16:\n 61 * 16 = 976\n\nThis doesn't quite give us 930, so we need to adjust our approach slightly. Instead of multiplying by 16, let's try dividing 930 by 61 again but with a different operation to see if we can get closer to 930.\n\n5. Let's subtract 61 from 930:\n 930 - 61 = 869\n\nNow, we have 869 left to reach our target of 930. We can add 31 to this difference:\n 869 + 31 = 900\n\nWe're still short of 930, so let's try adding 30 instead of subtracting 61:\n 900 + 30 = 930\n\nTherefore, the correct sequence of operations using the numbers 31 and 30 exactly once is:\nStep 1: 31 + 30 = 61\nStep 2: 930 - 61 = 869\nStep 3: 869 + 30 = 930\n\nFinal answer:\n<answer>\nStep 1: 31 + 30 = 61\nStep 2: 930 - 61 = 869\nStep 3: 869 + 30 = 930\n</answer>" ]

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[ "Step 1: 31 + 30 = 61\nStep 2: 930 - 61 = 869\nStep 3: 869 + 30 = 930" ]

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[ [ false ] ]

[ [ "Step 1: 31 + 30 = 61\nStep 2: 930 - 61 = 869\nStep 3: 869 + 30 = 930" ] ]

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2025-07-26

Using all the numbers 94, 10, create an expression that equals 940. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

10*94

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [94, 10], create an equation that equals 940. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5932, \"numbers\": [94, 10], \"target\": 940, \"expression\": \"10*94\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5932, "numbers": [94, 10], "target": 940, "expression": "10*94"}

null

[ "To solve this problem, we need to use the numbers 94 and 10 exactly once and apply basic arithmetic operations to get the target number 940.\n\nHere’s how we can do it:\n\n1. Start with the number 94.\n2. We need to reach 940, so let's multiply 94 by 10.\n - Step 1: 94 * 10 = 940\n\nSo, the final equation using the given numbers exactly once is:\n\n<answer>\nStep 1: 94 * 10 = 940\n</answer>" ]

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[ "Step 1: 94 * 10 = 940" ]

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[ [ "Step 1: 94 * 10 = 940" ] ]

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2025-07-26

Using all the numbers 35, 92, create an expression that equals 127. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

92 + 35

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [35, 92], create an equation that equals 127. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5049, \"numbers\": [35, 92], \"target\": 127, \"expression\": \"92 + 35\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5049, "numbers": [35, 92], "target": 127, "expression": "92 + 35"}

null

[ "To solve this problem, we need to find a combination of the given numbers [35, 92] using basic arithmetic operations (+, -, *, /) that results in the target number 127.\n\nStep 1: Let's start with the larger number, 92, and see if we can get close to 127 using it alone or with other numbers.\n\nStep 2: If we subtract 35 from 92, we get 57. This doesn't help us reach 127 yet.\n\nStep 3: Now let's try adding 35 to 92, which gives us 127 directly. This seems like a good candidate.\n\nFinal Answer:\n<answer>\nStep 1: 92 - 35 = 57 (This didn't work)\nStep 2: 92 + 35 = 127 (This works)\n</answer>" ]

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[ "Step 1: 92 - 35 = 57 (This didn't work)\nStep 2: 92 + 35 = 127 (This works)" ]

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[ [ false ] ]

[ [ "Step 1: 92 - 35 = 57 (This didn't work)\nStep 2: 92 + 35 = 127 (This works)" ] ]

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2025-07-26

Calculate 135 using all of these numbers: 73, 62. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

62 + 73

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [73, 62], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6128, \"numbers\": [73, 62], \"target\": 135, \"expression\": \"62 + 73\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6128, "numbers": [73, 62], "target": 135, "expression": "62 + 73"}

null

[ "To solve this problem, we need to use the numbers 73 and 62 exactly once and apply basic arithmetic operations to get the target number 135. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 73 + 62 = 135\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 73 + 62 = 135\n</answer>" ]

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[ true ]

[ "Step 1: 73 + 62 = 135" ]

{"all_spans_summary": [{"answer": "Step 1: 73 + 62 = 135", "context": "<answer> Step 1: 73 + 62 = 135 </answer>", "end_line": 9, "start_line": 9}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 73 + 62 = 135", "context": "<answer> Step 1: 73 + 62 = 135 </answer>", "end_line": 9, "end_pos": 399, "start_line": 9, "start_pos": 377}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 73 + 62 = 135", "error": null, "final_answer": 135.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 73 + 62 = 135" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 73 + 62 = 135", "context": "<answer> Step 1: 73 + 62 = 135 </answer>", "end_line": 9, "end_pos": 399, "start_line": 9, "start_pos": 377}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 399, "line_range": "9-9", "start_pos": 377}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 73 + 62 = 135', 'error': None, 'final_answer': 135.0, 'is_correct': True}]"}]

2025-07-26

Calculate 179 using all of these numbers: 90, 89. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

89 + 90

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [90, 89], create an equation that equals 179. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5715, \"numbers\": [90, 89], \"target\": 179, \"expression\": \"89 + 90\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5715, "numbers": [90, 89], "target": 179, "expression": "89 + 90"}

null

[ "To solve this problem, we need to use the numbers 90 and 89 exactly once and apply basic arithmetic operations to get the target number 179. Let's break it down:\n\n1. First, let's try adding 90 and 89 together:\n 90 + 89 = 179\n\nThis gives us the desired result without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 90 + 89 = 179\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [90, 89], create an equation that equals 179. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 90 + 89 = 179" ]

{"all_spans_summary": [{"answer": "Step 1: 90 + 89 = 179", "context": "<answer> Step 1: 90 + 89 = 179 </answer>", "end_line": 9, "start_line": 9}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 90 + 89 = 179", "context": "<answer> Step 1: 90 + 89 = 179 </answer>", "end_line": 9, "end_pos": 374, "start_line": 9, "start_pos": 352}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 90 + 89 = 179", "error": null, "final_answer": 179.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 90 + 89 = 179" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 90 + 89 = 179", "context": "<answer> Step 1: 90 + 89 = 179 </answer>", "end_line": 9, "end_pos": 374, "start_line": 9, "start_pos": 352}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 374, "line_range": "9-9", "start_pos": 352}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 90 + 89 = 179', 'error': None, 'final_answer': 179.0, 'is_correct': True}]"}]

2025-07-26

Calculate 119 using all of these numbers: 33, 86. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

33 + 86

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [33, 86], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6623, \"numbers\": [33, 86], \"target\": 119, \"expression\": \"33 + 86\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6623, "numbers": [33, 86], "target": 119, "expression": "33 + 86"}

null

[ "To solve this problem, we need to use the numbers 33 and 86 along with basic arithmetic operations to reach the target number 119. Let's break it down:\n\n1. First, let's try adding 33 and 86 together:\n 33 + 86 = 119\n\nThis equation uses all three numbers exactly once and results in the target number 119. Therefore, our final answer is:\n\n<answer>\nStep 1: 33 + 86 = 119\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [33, 86], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 33 + 86 = 119" ]

{"all_spans_summary": [{"answer": "Step 1: 33 + 86 = 119", "context": "<answer> Step 1: 33 + 86 = 119 </answer>", "end_line": 9, "start_line": 9}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 33 + 86 = 119", "context": "<answer> Step 1: 33 + 86 = 119 </answer>", "end_line": 9, "end_pos": 370, "start_line": 9, "start_pos": 348}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 33 + 86 = 119", "error": null, "final_answer": 119.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 33 + 86 = 119" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 33 + 86 = 119", "context": "<answer> Step 1: 33 + 86 = 119 </answer>", "end_line": 9, "end_pos": 370, "start_line": 9, "start_pos": 348}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 370, "line_range": "9-9", "start_pos": 348}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 33 + 86 = 119', 'error': None, 'final_answer': 119.0, 'is_correct': True}]"}]

2025-07-26

Calculate 146 using all of these numbers: 57, 89. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

89 + 57

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [57, 89], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5071, \"numbers\": [57, 89], \"target\": 146, \"expression\": \"89 + 57\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5071, "numbers": [57, 89], "target": 146, "expression": "89 + 57"}

null

[ "To solve this problem, we need to find a combination of the given numbers [57, 89] using basic arithmetic operations (+, -, *, /) that results in the target number 146. We can start by trying different combinations of these numbers and operations.\n\nStep 1: Let's try adding both numbers together.\n57 + 89 = 146\n\nThis works because it directly adds up to our target number without any other operations needed.\n\nFinal Answer:\n<answer>\nStep 1: 57 + 89 = 146\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [57, 89], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 57 + 89 = 146" ]

{"all_spans_summary": [{"answer": "Step 1: 57 + 89 = 146", "context": "<answer> Step 1: 57 + 89 = 146 </answer>", "end_line": 10, "start_line": 10}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 57 + 89 = 146", "context": "<answer> Step 1: 57 + 89 = 146 </answer>", "end_line": 10, "end_pos": 455, "start_line": 10, "start_pos": 433}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 57 + 89 = 146", "error": null, "final_answer": 146.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 57 + 89 = 146" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 57 + 89 = 146", "context": "<answer> Step 1: 57 + 89 = 146 </answer>", "end_line": 10, "end_pos": 455, "start_line": 10, "start_pos": 433}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 455, "line_range": "10-10", "start_pos": 433}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 57 + 89 = 146', 'error': None, 'final_answer': 146.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 91, 2, create an expression that equals 182. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

2*91

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [91, 2], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6574, \"numbers\": [91, 2], \"target\": 182, \"expression\": \"2*91\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6574, "numbers": [91, 2], "target": 182, "expression": "2*91"}

null

[ "To solve this problem, we need to use the numbers 91 and 2 exactly once and apply basic arithmetic operations to get the target number 182. Let's break it down:\n\n1. First, let's try adding 91 and 2:\n 91 + 2 = 93\n\n2. Now, we have 93 left to reach our target of 182. We can add another 89 to 93 to get close to 182:\n 93 + 89 = 182\n\nSo, the sequence of steps would be:\n- Start with 91 and 2\n- Add them together: 91 + 2 = 93\n- Then add 89 (which is 100 - 1) to 93: 93 + 89 = 182\n\nTherefore, the final answer is:\n<answer>\nStep 1: 91 + 2 = 93\nStep 2: 93 + 89 = 182\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [91, 2], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 91 + 2 = 93\nStep 2: 93 + 89 = 182" ]

{"all_spans_summary": [{"answer": "Step 1: 91 + 2 = 93\nStep 2: 93 + 89 = 182", "context": "<answer> ... </answer> block with final steps", "end_line": 17, "start_line": 16}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 91 + 2 = 93\nStep 2: 93 + 89 = 182", "context": "<answer> ... </answer> block with final steps", "end_line": 17, "end_pos": 563, "start_line": 16, "start_pos": 521}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 91 + 2 = 93\nStep 2: 93 + 89 = 182", "error": "Line uses unavailable numbers: Step 2: 93 + 89 = 182", "final_answer": 182.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 91 + 2 = 93\nStep 2: 93 + 89 = 182" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 91 + 2 = 93\nStep 2: 93 + 89 = 182", "context": "<answer> ... </answer> block with final steps", "end_line": 17, "end_pos": 563, "start_line": 16, "start_pos": 521}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 563, "line_range": "16-17", "start_pos": 521}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 91 + 2 = 93\\nStep 2: 93 + 89 = 182', 'error': 'Line uses unavailable numbers: Step 2: 93 + 89 = 182', 'final_answer': 182.0, 'is_correct': False}]"}]

2025-07-26

Calculate 215 using all of these numbers: 43, 5. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

5*43

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [43, 5], create an equation that equals 215. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5887, \"numbers\": [43, 5], \"target\": 215, \"expression\": \"5*43\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5887, "numbers": [43, 5], "target": 215, "expression": "5*43"}

null

[ "To solve this problem, we need to use the numbers 43 and 5 exactly once and apply basic arithmetic operations to get the target number 215. Let's break it down:\n\n1. First, let's try adding 43 and 5:\n 43 + 5 = 48\n\n2. Now, we have 48 left to reach our target of 215. We can multiply 48 by 4 to get close to 215:\n 48 * 4 = 192\n\n3. Finally, we need to add 7 more to reach 215:\n 192 + 7 = 215\n\nSo, the sequence of steps would be:\n- Start with 43 and 5\n- Add them together (43 + 5 = 48)\n- Multiply the sum by 4 (48 * 4 = 192)\n- Add 7 to the product (192 + 7 = 215)\n\nTherefore, the final answer is:\n<answer>\nStep 1: 43 + 5 = 48\nStep 2: 48 * 4 = 192\nStep 3: 192 + 7 = 215\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [43, 5], create an equation that equals 215. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 43 + 5 = 48\nStep 2: 48 * 4 = 192\nStep 3: 192 + 7 = 215" ]

{"all_spans_summary": [{"answer": "Step 1: 43 + 5 = 48\nStep 2: 48 * 4 = 192\nStep 3: 192 + 7 = 215", "context": "Therefore, the final answer is:", "end_line": 23, "start_line": 19}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 43 + 5 = 48\nStep 2: 48 * 4 = 192\nStep 3: 192 + 7 = 215", "context": "Therefore, the final answer is:", "end_line": 23, "end_pos": 679, "start_line": 19, "start_pos": 598}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 43 + 5 = 48\nStep 2: 48 * 4 = 192\nStep 3: 192 + 7 = 215", "error": "Line uses unavailable numbers: Step 2: 48 * 4 = 192", "final_answer": 192.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 43 + 5 = 48\nStep 2: 48 * 4 = 192\nStep 3: 192 + 7 = 215" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 43 + 5 = 48\nStep 2: 48 * 4 = 192\nStep 3: 192 + 7 = 215", "context": "Therefore, the final answer is:", "end_line": 23, "end_pos": 679, "start_line": 19, "start_pos": 598}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 679, "line_range": "19-23", "start_pos": 598}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 43 + 5 = 48\\nStep 2: 48 * 4 = 192\\nStep 3: 192 + 7 = 215', 'error': 'Line uses unavailable numbers: Step 2: 48 * 4 = 192', 'final_answer': 192.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 109 using all of these numbers: 32, 77. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

77 + 32

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [32, 77], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5555, \"numbers\": [32, 77], \"target\": 109, \"expression\": \"77 + 32\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5555, "numbers": [32, 77], "target": 109, "expression": "77 + 32"}

null

[ "To solve this problem, we need to use the numbers 32 and 77 along with basic arithmetic operations to reach the target number 109. Let's break it down:\n\n1. First, let's try adding 32 and 77 together:\n 32 + 77 = 109\n\nThis equation uses all the given numbers exactly once and results in the target number 109. Therefore, our final answer is:\n\n<answer>\nStep 1: 32 + 77 = 109\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [32, 77], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 32 + 77 = 109" ]

{"all_spans_summary": [{"answer": "Step 1: 32 + 77 = 109", "context": "<answer> Step 1: 32 + 77 = 109 </answer>", "end_line": 9, "start_line": 9}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 32 + 77 = 109", "context": "<answer> Step 1: 32 + 77 = 109 </answer>", "end_line": 9, "end_pos": 374, "start_line": 9, "start_pos": 352}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 32 + 77 = 109", "error": null, "final_answer": 109.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 32 + 77 = 109" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 32 + 77 = 109", "context": "<answer> Step 1: 32 + 77 = 109 </answer>", "end_line": 9, "end_pos": 374, "start_line": 9, "start_pos": 352}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 374, "line_range": "9-9", "start_pos": 352}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 32 + 77 = 109', 'error': None, 'final_answer': 109.0, 'is_correct': True}]"}]

2025-07-26

Calculate 468 using all of these numbers: 6, 78. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

6*78

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [6, 78], create an equation that equals 468. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5936, \"numbers\": [6, 78], \"target\": 468, \"expression\": \"6*78\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5936, "numbers": [6, 78], "target": 468, "expression": "6*78"}

null

[ "To solve this problem, we need to use the numbers 6 and 78 exactly once and apply basic arithmetic operations to get the target number 468. Let's break it down:\n\n1. First, let's try adding 6 and 78 together:\n 6 + 78 = 84\n\n2. Now, we have 84 left to reach our target of 468. We need to add another number to 84 to get 468. The next logical step would be to multiply 84 by 5 because 468 ÷ 84 = 5. \n\nSo, the complete equation would be:\n(6 + 78) * 5 = 468\n\nTherefore, the steps are:\nStep 1: 6 + 78 = 84\nStep 2: 84 * 5 = 468\n\n<answer>\nStep 1: 6 + 78 = 84\nStep 2: 84 * 5 = 468\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [6, 78], create an equation that equals 468. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 6 + 78 = 84\nStep 2: 84 * 5 = 468" ]

{"all_spans_summary": [{"answer": "Step 1: 6 + 78 = 84\nStep 2: 84 * 5 = 468", "context": "<answer> ... </answer> block containing the final solution steps", "end_line": 17, "start_line": 16}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 6 + 78 = 84\nStep 2: 84 * 5 = 468", "context": "<answer> ... </answer> block containing the final solution steps", "end_line": 17, "end_pos": 573, "start_line": 16, "start_pos": 532}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 6 + 78 = 84\nStep 2: 84 * 5 = 468", "error": "Incorrect arithmetic in line: Step 2: 84 * 5 = 468", "final_answer": 468.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 6 + 78 = 84\nStep 2: 84 * 5 = 468" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 6 + 78 = 84\nStep 2: 84 * 5 = 468", "context": "<answer> ... </answer> block containing the final solution steps", "end_line": 17, "end_pos": 573, "start_line": 16, "start_pos": 532}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 573, "line_range": "16-17", "start_pos": 532}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 6 + 78 = 84\\nStep 2: 84 * 5 = 468', 'error': 'Incorrect arithmetic in line: Step 2: 84 * 5 = 468', 'final_answer': 468.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 129 using all of these numbers: 90, 39. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

39 + 90

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [90, 39], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5228, \"numbers\": [90, 39], \"target\": 129, \"expression\": \"39 + 90\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5228, "numbers": [90, 39], "target": 129, "expression": "39 + 90"}

null

[ "To solve this problem, we need to use the numbers 90 and 39 exactly once and apply basic arithmetic operations to get the target number 129. Let's break it down:\n\nStep 1: We start with the number 90.\nStep 2: To reach 129, we need to add some value to 90. Since 129 - 90 = 39, we can subtract 39 from 90.\nStep 3: Now we have 51 (since 90 - 39 = 51).\nStep 4: To get closer to 129, we can multiply 51 by 2.\nStep 5: Finally, we add 39 to our result to reach 129.\n\nSo, the equation would be:\n90 - 39 * 2 + 39 = 129\n\nTherefore, the steps are:\nStep 1: 90 - 39 = 51\nStep 2: 51 * 2 = 102\nStep 3: 102 + 39 = 129\n\n<answer>\nStep 1: 90 - 39 = 51\nStep 2: 51 * 2 = 102\nStep 3: 102 + 39 = 129\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [90, 39], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 90 - 39 = 51\nStep 2: 51 * 2 = 102\nStep 3: 102 + 39 = 129" ]

{"all_spans_summary": [{"answer": "Step 1: 90 - 39 = 51\nStep 2: 51 * 2 = 102\nStep 3: 102 + 39 = 129", "context": "<answer> block with step-by-step solution", "end_line": 20, "start_line": 18}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 90 - 39 = 51\nStep 2: 51 * 2 = 102\nStep 3: 102 + 39 = 129", "context": "<answer> block with step-by-step solution", "end_line": 20, "end_pos": 677, "start_line": 18, "start_pos": 612}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 90 - 39 = 51\nStep 2: 51 * 2 = 102\nStep 3: 102 + 39 = 129", "error": "Line uses unavailable numbers: Step 2: 51 * 2 = 102", "final_answer": 102.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 90 - 39 = 51\nStep 2: 51 * 2 = 102\nStep 3: 102 + 39 = 129" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 90 - 39 = 51\nStep 2: 51 * 2 = 102\nStep 3: 102 + 39 = 129", "context": "<answer> block with step-by-step solution", "end_line": 20, "end_pos": 677, "start_line": 18, "start_pos": 612}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 677, "line_range": "18-20", "start_pos": 612}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 90 - 39 = 51\\nStep 2: 51 * 2 = 102\\nStep 3: 102 + 39 = 129', 'error': 'Line uses unavailable numbers: Step 2: 51 * 2 = 102', 'final_answer': 102.0, 'is_correct': False}]"}]

2025-07-26

Calculate 132 using all of these numbers: 89, 43. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

89 + 43

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [89, 43], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6541, \"numbers\": [89, 43], \"target\": 132, \"expression\": \"89 + 43\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6541, "numbers": [89, 43], "target": 132, "expression": "89 + 43"}

null

[ "To solve this problem, we need to use the numbers 89 and 43 exactly once and apply basic arithmetic operations to get the target number 132. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 89 + 43 = 132\n\nThis addition directly gives us the target number without needing any other operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 89 + 43 = 132\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [89, 43], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 89 + 43 = 132" ]

{"all_spans_summary": [{"answer": "Step 1: 89 + 43 = 132", "context": "<answer> Step 1: 89 + 43 = 132 </answer>", "end_line": 9, "start_line": 9}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 89 + 43 = 132", "context": "<answer> Step 1: 89 + 43 = 132 </answer>", "end_line": 9, "end_pos": 397, "start_line": 9, "start_pos": 375}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 89 + 43 = 132", "error": null, "final_answer": 132.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 89 + 43 = 132" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 89 + 43 = 132", "context": "<answer> Step 1: 89 + 43 = 132 </answer>", "end_line": 9, "end_pos": 397, "start_line": 9, "start_pos": 375}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 397, "line_range": "9-9", "start_pos": 375}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 89 + 43 = 132', 'error': None, 'final_answer': 132.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 84, 66, create an expression that equals 150. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

66 + 84

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [84, 66], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5874, \"numbers\": [84, 66], \"target\": 150, \"expression\": \"66 + 84\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5874, "numbers": [84, 66], "target": 150, "expression": "66 + 84"}

null

[ "To solve this problem, we need to find a combination of the given numbers [84, 66] using basic arithmetic operations (+, -, *, /) that results in the target number 150. Let's break it down step by step:\n\n1. First, let's try adding the two numbers together:\n 84 + 66 = 150\n\nThis directly gives us the desired result without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 84 + 66 = 150\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [84, 66], create an equation that equals 150. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ true ]

[ "Step 1: 84 + 66 = 150" ]

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[{"answer_block": "Step 1: 84 + 66 = 150", "error": null, "final_answer": 150.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 84 + 66 = 150" ] ]

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[{"value": "[{'answer_block': 'Step 1: 84 + 66 = 150', 'error': None, 'final_answer': 150.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 14, 53, create an expression that equals 742. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

53*14

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [14, 53], create an equation that equals 742. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6749, \"numbers\": [14, 53], \"target\": 742, \"expression\": \"53*14\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6749, "numbers": [14, 53], "target": 742, "expression": "53*14"}

null

[ "To solve this problem, we need to find a combination of the given numbers [14, 53] using basic arithmetic operations (+, -, *, /) that results in the target number 742.\n\nStep 1: Let's start with the multiplication operation since it often helps in creating larger numbers quickly.\n\nMultiplication: 53 * 14 = 742\n\nSo, the final answer is:\n\n<answer>\nStep 1: 53 * 14 = 742\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [14, 53], create an equation that equals 742. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 53 * 14 = 742" ]

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[ [ true ] ]

[ [ "Step 1: 53 * 14 = 742" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 53 * 14 = 742", "context": "<answer> Step 1: 53 * 14 = 742 </answer>", "end_line": 10, "end_pos": 370, "start_line": 10, "start_pos": 348}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 370, "line_range": "10-10", "start_pos": 348}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 53 * 14 = 742', 'error': None, 'final_answer': 742.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 114 using all of these numbers: 3, 38. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

38*3

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [3, 38], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6214, \"numbers\": [3, 38], \"target\": 114, \"expression\": \"38*3\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6214, "numbers": [3, 38], "target": 114, "expression": "38*3"}

null

[ "To solve this problem, we need to use the numbers 3 and 38 exactly once and apply basic arithmetic operations to get the target number 114. Let's break it down:\n\n1. First, let's try adding 38 to itself three times:\n 38 + 38 + 38 = 114\n\nSo, the equation using the given numbers is:\n38 + 38 + 38 = 114\n\nTherefore, the steps are:\nStep 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114\n\nFinal answer:\n<answer>\nStep 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [3, 38], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114" ]

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[{"answer_block": "Step 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114", "error": "Line uses unavailable numbers: Step 1: 38 + 38 = 76", "final_answer": 76.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 38 + 38 = 76\nStep 2: 76 + 38 = 114", "context": "Final answer:", "end_line": 16, "end_pos": 439, "start_line": 14, "start_pos": 387}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 439, "line_range": "14-16", "start_pos": 387}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 38 + 38 = 76\\nStep 2: 76 + 38 = 114', 'error': 'Line uses unavailable numbers: Step 1: 38 + 38 = 76', 'final_answer': 76.0, 'is_correct': False}]"}]

2025-07-26

Calculate 117 using all of these numbers: 55, 62. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

55 + 62

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [55, 62], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5163, \"numbers\": [55, 62], \"target\": 117, \"expression\": \"55 + 62\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5163, "numbers": [55, 62], "target": 117, "expression": "55 + 62"}

null

[ "To solve this problem, we need to use the numbers 55 and 62 exactly once and apply basic arithmetic operations to get the target number 117. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 55 + 62 = 117\n\nThis gives us the desired result without needing any other operations. Therefore, our final equation is simply addition.\n\nHere’s how we arrived at the solution:\n\n- We started with the numbers 55 and 62.\n- We added them together: 55 + 62 = 117.\n\nSo, the final answer is:\n\n<answer>\nStep 1: 55 + 62 = 117\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [55, 62], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 55 + 62 = 117" ]

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[{"answer_block": "Step 1: 55 + 62 = 117", "error": null, "final_answer": 117.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 55 + 62 = 117" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 55 + 62 = 117", "context": "<answer> Step 1: 55 + 62 = 117 </answer>", "end_line": 16, "end_pos": 538, "start_line": 16, "start_pos": 516}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 538, "line_range": "16-16", "start_pos": 516}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 55 + 62 = 117', 'error': None, 'final_answer': 117.0, 'is_correct': True}]"}]

2025-07-26

Calculate 108 using all of these numbers: 36, 72. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

36 + 72

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [36, 72], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5761, \"numbers\": [36, 72], \"target\": 108, \"expression\": \"36 + 72\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5761, "numbers": [36, 72], "target": 108, "expression": "36 + 72"}

null

[ "To solve this problem, we need to use the numbers 36 and 72 along with basic arithmetic operations to reach the target number 108. Let's break it down:\n\n1. First, let's try adding 36 and 72 together:\n 36 + 72 = 108\n\nThis gives us exactly what we want (108), so no further steps are needed.\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 36 + 72 = 108\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [36, 72], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 36 + 72 = 108" ]

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[{"answer_block": "Step 1: 36 + 72 = 108", "error": null, "final_answer": 108.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 36 + 72 = 108" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 36 + 72 = 108", "context": "<answer> Step 1: 36 + 72 = 108 </answer>", "end_line": 11, "end_pos": 357, "start_line": 11, "start_pos": 335}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 357, "line_range": "11-11", "start_pos": 335}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 36 + 72 = 108', 'error': None, 'final_answer': 108.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 130 using all of these numbers: 72, 58. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

58 + 72

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [72, 58], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6512, \"numbers\": [72, 58], \"target\": 130, \"expression\": \"58 + 72\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6512, "numbers": [72, 58], "target": 130, "expression": "58 + 72"}

null

[ "To solve this problem, we need to find a combination of the given numbers [72, 58] using basic arithmetic operations (+, -, *, /) that results in the target number 130.\n\nStep 1: Let's start with the larger number, 72, and see if we can get close to 130.\n- We can try subtracting smaller numbers from 72 to see if we can reach 130.\n\nStep 2: If we subtract 58 from 72, we get:\n 72 - 58 = 14\n\nStep 3: Now we have 14 left to reach 130. To do this, we can add another number to our current total (which is 14).\n\nStep 4: The next logical addition would be 130 itself because it's the target number we're trying to achieve.\n\nSo, combining these steps, we get:\n72 - 58 = 14\n14 + 130 = 144\n\nTherefore, the equation that equals 130 using the numbers [72, 58] is:\n<answer>\nStep 1: 72 - 58 = 14\nStep 2: 14 + 130 = 144\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [72, 58], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ false ]

[ "Step 1: 72 - 58 = 14\nStep 2: 14 + 130 = 144" ]

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[{"answer_block": "Step 1: 72 - 58 = 14\nStep 2: 14 + 130 = 144", "error": "Line uses unavailable numbers: Step 2: 14 + 130 = 144", "final_answer": 144.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 72 - 58 = 14\nStep 2: 14 + 130 = 144" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 72 - 58 = 14\nStep 2: 14 + 130 = 144", "context": "<answer> ... </answer> block with steps", "end_line": 20, "end_pos": 808, "start_line": 19, "start_pos": 764}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 808, "line_range": "19-20", "start_pos": 764}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 72 - 58 = 14\\nStep 2: 14 + 130 = 144', 'error': 'Line uses unavailable numbers: Step 2: 14 + 130 = 144', 'final_answer': 144.0, 'is_correct': False}]"}]

2025-07-26

Using all the numbers 90, 25, create an expression that equals 115. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

25 + 90

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [90, 25], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6152, \"numbers\": [90, 25], \"target\": 115, \"expression\": \"25 + 90\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6152, "numbers": [90, 25], "target": 115, "expression": "25 + 90"}

null

[ "To solve this problem, we need to use the numbers 90 and 25 exactly once and apply basic arithmetic operations to get the target number 115. Let's break it down:\n\n1. First, let's try adding 90 and 25 together:\n 90 + 25 = 115\n\nThis equation uses both numbers exactly once and results in the target number 115. Therefore, our final answer is:\n\n<answer>\nStep 1: 90 + 25 = 115\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [90, 25], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 90 + 25 = 115" ]

{"all_spans_summary": [{"answer": "Step 1: 90 + 25 = 115", "context": "<answer> Step 1: 90 + 25 = 115 </answer>", "end_line": 9, "start_line": 9}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 90 + 25 = 115", "context": "<answer> Step 1: 90 + 25 = 115 </answer>", "end_line": 9, "end_pos": 375, "start_line": 9, "start_pos": 353}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 90 + 25 = 115", "error": null, "final_answer": 115.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 90 + 25 = 115" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 90 + 25 = 115", "context": "<answer> Step 1: 90 + 25 = 115 </answer>", "end_line": 9, "end_pos": 375, "start_line": 9, "start_pos": 353}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 375, "line_range": "9-9", "start_pos": 353}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 90 + 25 = 115', 'error': None, 'final_answer': 115.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 124 using all of these numbers: 51, 73. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

73 + 51

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [51, 73], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5332, \"numbers\": [51, 73], \"target\": 124, \"expression\": \"73 + 51\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5332, "numbers": [51, 73], "target": 124, "expression": "73 + 51"}

null

[ "To solve this problem, we need to use the numbers 51 and 73 exactly once and apply basic arithmetic operations to get the target number 124. Let's break it down:\n\nStep 1: We start with the two given numbers, 51 and 73.\nStep 2: To reach the target number 124, we should consider adding or subtracting these numbers since multiplication and division would likely exceed our target.\nStep 3: One way to approach this is to add 51 and 73 together because their sum is close to 124 (51 + 73 = 124).\nStep 4: Therefore, the equation using the numbers 51 and 73 exactly once to equal 124 is:\n 51 + 73 = 124\n\nFinal Answer:\n<answer>\nStep 1: 51 + 73 = 124\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [51, 73], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 51 + 73 = 124" ]

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[{"answer_block": "Step 1: 51 + 73 = 124", "error": null, "final_answer": 124.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 51 + 73 = 124" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 51 + 73 = 124", "context": "Line 11 inside <answer> tags", "end_line": 11, "end_pos": 646, "start_line": 11, "start_pos": 624}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 646, "line_range": "11-11", "start_pos": 624}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 51 + 73 = 124', 'error': None, 'final_answer': 124.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 22, 78, create an expression that equals 100. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

22 + 78

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [22, 78], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5005, \"numbers\": [22, 78], \"target\": 100, \"expression\": \"22 + 78\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5005, "numbers": [22, 78], "target": 100, "expression": "22 + 78"}

null

[ "To solve this problem, we need to use the numbers 22 and 78 exactly once and apply basic arithmetic operations to get the target number 100. Let's break it down:\n\n1. First, let's try adding 22 and 78:\n 22 + 78 = 100\n\nThis equation uses both numbers exactly once and results in the target number 100. Therefore, our final answer is:\n\n<answer>\nStep 1: 22 + 78 = 100\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [22, 78], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 22 + 78 = 100" ]

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[{"answer_block": "Step 1: 22 + 78 = 100", "error": null, "final_answer": 100.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 22 + 78 = 100" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 22 + 78 = 100", "context": "<answer> Step 1: 22 + 78 = 100 </answer>", "end_line": 9, "end_pos": 366, "start_line": 9, "start_pos": 344}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 366, "line_range": "9-9", "start_pos": 344}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 22 + 78 = 100', 'error': None, 'final_answer': 100.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 88, 61, create an expression that equals 149. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

61 + 88

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [88, 61], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6126, \"numbers\": [88, 61], \"target\": 149, \"expression\": \"61 + 88\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6126, "numbers": [88, 61], "target": 149, "expression": "61 + 88"}

null

[ "To solve this problem, we need to combine the given numbers [88, 61] using basic arithmetic operations (+, -, *, /) so that the result equals 149. Let's break it down:\n\nStep 1: We start with the two numbers provided: 88 and 61.\nStep 2: To get close to 149, we should consider adding or subtracting these numbers.\nStep 3: One way to approach this is to add 88 and 61 together, which gives us 149 directly.\n\nTherefore, the equation would be:\n88 + 61 = 149\n\nFinal Answer:\n<answer>\nStep 1: 88 + 61 = 149\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [88, 61], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 88 + 61 = 149" ]

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[{"answer_block": "Step 1: 88 + 61 = 149", "error": null, "final_answer": 149.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 88 + 61 = 149" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 88 + 61 = 149", "context": "<answer> Step 1: 88 + 61 = 149 </answer>", "end_line": 12, "end_pos": 500, "start_line": 12, "start_pos": 478}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 500, "line_range": "12-12", "start_pos": 478}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 88 + 61 = 149', 'error': None, 'final_answer': 149.0, 'is_correct': True}]"}]

2025-07-26

Calculate 113 using all of these numbers: 53, 60. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

53 + 60

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [53, 60], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5053, \"numbers\": [53, 60], \"target\": 113, \"expression\": \"53 + 60\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5053, "numbers": [53, 60], "target": 113, "expression": "53 + 60"}

null

[ "To solve this problem, we need to use the numbers 53 and 60 exactly once and apply basic arithmetic operations to get the target number 113. Let's break it down:\n\n1. First, let's try adding 53 and 60 together:\n 53 + 60 = 113\n\nThis gives us the desired result of 113 using just the two given numbers without any further operations needed.\n\nTherefore, the final answer is:\n<answer>\nStep 1: 53 + 60 = 113\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [53, 60], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 53 + 60 = 113" ]

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[{"answer_block": "Step 1: 53 + 60 = 113", "error": null, "final_answer": 113.0, "is_correct": true, "method": null, "reason": null}]

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[ [ "Step 1: 53 + 60 = 113" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 53 + 60 = 113", "context": "<answer> Step 1: 53 + 60 = 113 </answer>", "end_line": 10, "end_pos": 404, "start_line": 10, "start_pos": 382}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 404, "line_range": "10-10", "start_pos": 382}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 53 + 60 = 113', 'error': None, 'final_answer': 113.0, 'is_correct': True}]"}]

2025-07-26

Calculate 116 using all of these numbers: 31, 85. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

85 + 31

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [31, 85], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6501, \"numbers\": [31, 85], \"target\": 116, \"expression\": \"85 + 31\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6501, "numbers": [31, 85], "target": 116, "expression": "85 + 31"}

null

[ "To solve this problem, we need to use the numbers 31 and 85 along with basic arithmetic operations to reach the target number 116. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 31 + 85 = 116\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 31 + 85 = 116\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [31, 85], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 31 + 85 = 116" ]

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[{"answer_block": "Step 1: 31 + 85 = 116", "error": null, "final_answer": 116.0, "is_correct": true, "method": null, "reason": null}]

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[ [ "Step 1: 31 + 85 = 116" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 31 + 85 = 116", "context": "<answer> Step 1: 31 + 85 = 116 </answer>", "end_line": 9, "end_pos": 389, "start_line": 9, "start_pos": 367}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 389, "line_range": "9-9", "start_pos": 367}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 31 + 85 = 116', 'error': None, 'final_answer': 116.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 158 using all of these numbers: 65, 93. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

65 + 93

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [65, 93], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6560, \"numbers\": [65, 93], \"target\": 158, \"expression\": \"65 + 93\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6560, "numbers": [65, 93], "target": 158, "expression": "65 + 93"}

null

[ "To solve this problem, we need to find a combination of the given numbers [65, 93] using basic arithmetic operations (+, -, *, /) that results in the target number 158.\n\nStep 1: Let's start with the larger number, 93, and see if we can get close to 158 using it.\n\nStep 2: If we subtract 65 from 93, we get 28. This doesn't seem like a good starting point because 158 is much larger than 28.\n\nStep 3: Instead, let's try adding or subtracting smaller numbers to see if we can reach 158.\n\nStep 4: Adding 93 to itself gives us 186, which is still too large.\n\nStep 5: Subtracting 65 from 93 gives us 28 again, but this time we're getting closer to our goal.\n\nStep 6: Now, let's add 28 to 65 to see if we can get close to 158.\n\nStep 7: 65 + 28 = 93\n\nStep 8: We have already used 93 twice, so let's try another approach.\n\nStep 9: Let's multiply 65 by 2 to get 130.\n\nStep 10: Then, add 28 to 130 to get 158.\n\nTherefore, the equation that equals 158 using the numbers [65, 93] is:\n\n65 * 2 + 28 = 158" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [65, 93], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ false ]

[ "65 * 2 + 28" ]

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[{"answer_block": "65 * 2 + 28", "error": "Expression uses an unavailable or repeated number", "final_answer": 158.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "65 * 2 + 28" ] ]

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[{"value": "[{'answer_block': '65 * 2 + 28', 'error': 'Expression uses an unavailable or repeated number', 'final_answer': 158.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 116 using all of these numbers: 67, 49. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

49 + 67

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [67, 49], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5156, \"numbers\": [67, 49], \"target\": 116, \"expression\": \"49 + 67\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5156, "numbers": [67, 49], "target": 116, "expression": "49 + 67"}

null

[ "To solve this problem, we need to find a combination of the given numbers [67, 49] using basic arithmetic operations (+, -, *, /) that results in the target number 116.\n\nStep 1: Let's start with the larger number, 67, and see if we can get close to 116 using it.\n\nStep 2: If we subtract 49 from 67, we get 18. This doesn't seem like a good starting point because 18 is too small to reach 116 easily.\n\nStep 3: Instead, let's try adding or subtracting smaller numbers to see if we can get closer to 116.\n\nStep 4: Adding 49 to 67 gives us 116 directly. So, one possible solution is:\n\nAnswer: 67 - 49 = 116\n\nThis uses all the numbers exactly once and achieves the target number." ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [67, 49], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

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[ "67 - 49 = 116" ]

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[{"answer_block": "67 - 49 = 116", "error": "Expression does not equal stated result", "final_answer": 116.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "67 - 49 = 116" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "67 - 49 = 116", "context": "Line 11, Answer: 67 - 49 = 116", "end_line": 11, "end_pos": 603, "start_line": 11, "start_pos": 581}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 603, "line_range": "11-11", "start_pos": 581}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': '67 - 49 = 116', 'error': 'Expression does not equal stated result', 'final_answer': 116.0, 'is_correct': False}]"}]

2025-07-26

Calculate 189 using all of these numbers: 94, 95. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

95 + 94

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [94, 95], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6500, \"numbers\": [94, 95], \"target\": 189, \"expression\": \"95 + 94\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6500, "numbers": [94, 95], "target": 189, "expression": "95 + 94"}

null

[ "To solve this problem using the numbers [94, 95] and creating an equation that equals 189, we need to find a combination of these numbers with basic arithmetic operations that will give us the desired result.\n\nHere’s how we can approach it:\n\n1. **Identify the goal**: We want to get the result 189 from the given numbers 94 and 95.\n\n2. **Consider possible operations**:\n - Addition (+)\n - Subtraction (-)\n - Multiplication (*)\n - Division (/)\n\n3. **Start with simple combinations**:\n - Let's try multiplication first since it often gives larger results quickly.\n\n4. **Try multiplying 94 and 95**:\n \\[\n 94 * 95 = 8970\n \\]\n This is too large, so let's try other combinations.\n\n5. **Subtract one number from another**:\n - Subtracting 94 from 95:\n \\[\n 95 - 94 = 1\n \\]\n - Now add 94 to this result:\n \\[\n 1 + 94 = 95\n \\]\n\n6. **Combine the results**:\n - To reach 189, we need to multiply our previous result (95) by some factor. Since 95 is close to 189 but not exact, let's see if we can adjust it further.\n\n7. **Adjust the subtraction**:\n - Instead of subtracting 94 directly, let's consider adding or subtracting smaller values to get closer to 189.\n\n8. **Re-evaluate the steps**:\n - We already have 95 from \\(95 - 94\\).\n - Adding 94 again would exceed 189, so let's look at other possibilities.\n\n9. **Final adjustment**:\n - Notice that \\(95 - 94\\) gives us 1, which when added to itself multiple times won't help much.\n - Instead, let's try combining 94 and 95 differently.\n\n10. **Correct approach**:\n - Multiply 94 by 2:\n \\[\n 94 * 2 = 188\n \\]\n - Add 95 to this product:\n \\[\n 188 + 95 = 283\n \\]\n - Clearly, this doesn’t work either.\n\n11. **Reconsider the initial steps**:\n - Let's try a different combination:\n - Start with \\(95 - 94 = 1\\).\n - Then multiply by 94:\n \\[\n 1 * 94 = 94\n \\]\n - Finally, add 95:\n \\[\n 94 + 95 = 189\n \\]\n\nSo, the correct sequence of operations is:\n- First, subtract 94 from 95: \\(95 - 94 = 1\\).\n- Then, multiply the result by 94: \\(1 * 94 = 94\\).\n- Finally, add 95 to the product: \\(94 + 95 = 189\\).\n\nTherefore, the final answer is:\n<answer>\nStep 1: 95 - 94 = 1\nStep 2: 1 * 94 = 94\nStep 3: 94 + 95 = 189\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [94, 95], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

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[ "Step 1: 95 - 94 = 1\nStep 2: 1 * 94 = 94\nStep 3: 94 + 95 = 189" ]

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[{"answer_block": "Step 1: 95 - 94 = 1\nStep 2: 1 * 94 = 94\nStep 3: 94 + 95 = 189", "error": "Line uses unavailable numbers: Step 2: 1 * 94 = 94", "final_answer": 94.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 95 - 94 = 1\nStep 2: 1 * 94 = 94\nStep 3: 94 + 95 = 189" ] ]

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[{"value": "[{'answer_block': 'Step 1: 95 - 94 = 1\\nStep 2: 1 * 94 = 94\\nStep 3: 94 + 95 = 189', 'error': 'Line uses unavailable numbers: Step 2: 1 * 94 = 94', 'final_answer': 94.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 120 using all of these numbers: 5, 24. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

24*5

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [5, 24], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5891, \"numbers\": [5, 24], \"target\": 120, \"expression\": \"24*5\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5891, "numbers": [5, 24], "target": 120, "expression": "24*5"}

null

[ "To solve this problem, we need to use the numbers [5, 24] with basic arithmetic operations (+, -, *, /) to get the target number 120. Let's break it down:\n\nStep 1: We start with the number 24.\nStep 2: To reach 120 from 24, we need to multiply it by some number.\nStep 3: The closest multiple of 24 that is close to 120 without exceeding it is 96 (since 24 * 4 = 96).\nStep 4: Now, we have 96 left to add to 24 to reach 120.\nStep 5: Therefore, we add 24 to 96 to get 120.\n\nFinal Answer:\n<answer>\nStep 1: 24 * 4 = 96\nStep 2: 96 + 24 = 120\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [5, 24], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 24 * 4 = 96\nStep 2: 96 + 24 = 120" ]

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[{"answer_block": "Step 1: 24 * 4 = 96\nStep 2: 96 + 24 = 120", "error": "Line uses unavailable numbers: Step 1: 24 * 4 = 96", "final_answer": 96.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 24 * 4 = 96\nStep 2: 96 + 24 = 120" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 24 * 4 = 96\nStep 2: 96 + 24 = 120", "context": "<answer> ... </answer> block with final steps", "end_line": 12, "end_pos": 535, "start_line": 11, "start_pos": 493}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 535, "line_range": "11-12", "start_pos": 493}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 24 * 4 = 96\\nStep 2: 96 + 24 = 120', 'error': 'Line uses unavailable numbers: Step 1: 24 * 4 = 96', 'final_answer': 96.0, 'is_correct': False}]"}]

2025-07-26

Using all the numbers 94, 30, create an expression that equals 124. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

30 + 94

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [94, 30], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5325, \"numbers\": [94, 30], \"target\": 124, \"expression\": \"30 + 94\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5325, "numbers": [94, 30], "target": 124, "expression": "30 + 94"}

null

[ "To solve this problem, we need to use the numbers 94 and 30 exactly once and apply basic arithmetic operations to get the target number 124. Let's break it down:\n\n1. First, let's try adding 94 and 30:\n 94 + 30 = 124\n\nThis equation uses both numbers exactly once and results in the target number 124. Therefore, our final answer is:\n\n<answer>\nStep 1: 94 + 30 = 124\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [94, 30], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 94 + 30 = 124" ]

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[{"answer_block": "Step 1: 94 + 30 = 124", "error": null, "final_answer": 124.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 94 + 30 = 124" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 94 + 30 = 124", "context": "<answer> Step 1: 94 + 30 = 124 </answer>", "end_line": 9, "end_pos": 366, "start_line": 9, "start_pos": 344}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 366, "line_range": "9-9", "start_pos": 344}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 94 + 30 = 124', 'error': None, 'final_answer': 124.0, 'is_correct': True}]"}]

2025-07-26

Calculate 162 using all of these numbers: 69, 93. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

93 + 69

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [69, 93], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5680, \"numbers\": [69, 93], \"target\": 162, \"expression\": \"93 + 69\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5680, "numbers": [69, 93], "target": 162, "expression": "93 + 69"}

null

[ "To solve this problem, we need to find a combination of the given numbers [69, 93] using basic arithmetic operations (+, -, *, /) that results in the target number 162.\n\nStep 1: Let's start with the larger number, 93, and see if we can get close to 162 without exceeding it.\n - We can try subtracting smaller numbers from 93 to see if we can reach 162.\n\nStep 2: Subtract 69 from 93:\n 93 - 69 = 24\n\nStep 3: Now we have 24 left to reach 162. We can add another number to get closer to our goal.\n - Adding 135 (which is 24 * 6) would give us:\n 24 + 135 = 159\n\nStep 4: To reach exactly 162, we need one more addition or subtraction operation.\n - Since we already used all the numbers provided, let's consider adding/subtracting 3 instead of multiplying.\n\nFinal Equation:\n93 - 69 + 135 + 3 = 162\n\nTherefore, the final answer is:\n<answer>\nStep 1: 93 - 69 = 24\nStep 2: 24 + 135 = 159\nStep 3: 159 + 3 = 162\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [69, 93], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 93 - 69 = 24\nStep 2: 24 + 135 = 159\nStep 3: 159 + 3 = 162" ]

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[{"answer_block": "Step 1: 93 - 69 = 24\nStep 2: 24 + 135 = 159\nStep 3: 159 + 3 = 162", "error": "Line uses unavailable numbers: Step 2: 24 + 135 = 159", "final_answer": 159.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 93 - 69 = 24\nStep 2: 24 + 135 = 159\nStep 3: 159 + 3 = 162" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 93 - 69 = 24\nStep 2: 24 + 135 = 159\nStep 3: 159 + 3 = 162", "context": "lines 21-23, inside <answer> tags", "end_line": 23, "end_pos": 911, "start_line": 21, "start_pos": 845}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 911, "line_range": "21-23", "start_pos": 845}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 93 - 69 = 24\\nStep 2: 24 + 135 = 159\\nStep 3: 159 + 3 = 162', 'error': 'Line uses unavailable numbers: Step 2: 24 + 135 = 159', 'final_answer': 159.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 154 using all of these numbers: 74, 80. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

74 + 80

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [74, 80], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6336, \"numbers\": [74, 80], \"target\": 154, \"expression\": \"74 + 80\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6336, "numbers": [74, 80], "target": 154, "expression": "74 + 80"}

null

[ "To solve this problem, we need to use the numbers 74 and 80 exactly once and apply basic arithmetic operations to get the target number 154. Let's break it down:\n\n1. First, let's try adding 74 and 80 together:\n 74 + 80 = 154\n\nThis equation uses both numbers exactly once and results in the target number 154. Therefore, our final answer is:\n\n<answer>\nStep 1: 74 + 80 = 154\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [74, 80], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 74 + 80 = 154" ]

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[{"answer_block": "Step 1: 74 + 80 = 154", "error": null, "final_answer": 154.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 74 + 80 = 154" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 74 + 80 = 154", "context": "<answer> Step 1: 74 + 80 = 154 </answer>", "end_line": 9, "end_pos": 375, "start_line": 9, "start_pos": 353}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 375, "line_range": "9-9", "start_pos": 353}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 74 + 80 = 154', 'error': None, 'final_answer': 154.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 161 using all of these numbers: 90, 71. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

71 + 90

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [90, 71], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5898, \"numbers\": [90, 71], \"target\": 161, \"expression\": \"71 + 90\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5898, "numbers": [90, 71], "target": 161, "expression": "71 + 90"}

null

[ "To solve this problem, we need to use the numbers 90 and 71 exactly once and apply basic arithmetic operations to get the target number 161. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 90 + 71 = 161\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 90 + 71 = 161\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [90, 71], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ true ]

[ "Step 1: 90 + 71 = 161" ]

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[ [ "Step 1: 90 + 71 = 161" ] ]

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[{"value": "[{'answer_block': 'Step 1: 90 + 71 = 161', 'error': None, 'final_answer': 161.0, 'is_correct': True}]"}]

2025-07-26

Calculate 100 using all of these numbers: 46, 54. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

46 + 54

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [46, 54], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5825, \"numbers\": [46, 54], \"target\": 100, \"expression\": \"46 + 54\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5825, "numbers": [46, 54], "target": 100, "expression": "46 + 54"}

null

[ "To solve this problem, we need to use the numbers 46 and 54 exactly once and apply basic arithmetic operations to get the target number, which is 100.\n\nHere’s how we can do it:\n\n1. Start with the number 46.\n2. Add 54 to 46 to get 100.\n\nSo, the equation would be:\n\\[ 46 + 54 = 100 \\]\n\nTherefore, the steps are:\n- Step 1: \\( 46 + 54 = 100 \\)\n\nThis satisfies the condition of using each number exactly once and achieving the target number of 100." ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [46, 54], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ true ]

[ "Step 1: 46 + 54 = 100" ]

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[{"answer_block": "Step 1: 46 + 54 = 100", "error": null, "final_answer": 100.0, "is_correct": true, "method": null, "reason": null}]

[ [ true, true ] ]

[ [ "46 + 54", "Step 1: 46 + 54 = 100" ] ]

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[{"value": "[{'answer_block': '46 + 54', 'error': None, 'final_answer': 100.0, 'is_correct': True}, {'answer_block': 'Step 1: 46 + 54 = 100', 'error': None, 'final_answer': 100.0, 'is_correct': True}]"}]

2025-07-26

Calculate 133 using all of these numbers: 37, 96. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

37 + 96

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [37, 96], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6522, \"numbers\": [37, 96], \"target\": 133, \"expression\": \"37 + 96\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6522, "numbers": [37, 96], "target": 133, "expression": "37 + 96"}

null

[ "To solve this problem, we need to find a combination of the given numbers [37, 96] using basic arithmetic operations (+, -, *, /) that results in the target number 133.\n\nStep 1: Let's start with the larger number, 96, and see if we can get close to 133 using it.\n\nStep 2: If we subtract 37 from 96, we get 59. This doesn't seem like a good starting point because 133 - 59 = 74, which is still far away from our target.\n\nStep 3: Instead, let's try adding 37 to 96. That gives us 133 directly. So, one possible solution is:\n\nAnswer: 96 * 37 = 133" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [37, 96], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "96 * 37 = 133" ]

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[{"answer_block": "96 * 37 = 133", "error": "Expression does not equal stated result", "final_answer": 133.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "96 * 37 = 133" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "96 * 37 = 133", "context": "Answer: 96 * 37 = 133", "end_line": 9, "end_pos": 544, "start_line": 9, "start_pos": 523}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 544, "line_range": "9-9", "start_pos": 523}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': '96 * 37 = 133', 'error': 'Expression does not equal stated result', 'final_answer': 133.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 126 using all of these numbers: 61, 65. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

65 + 61

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [61, 65], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6385, \"numbers\": [61, 65], \"target\": 126, \"expression\": \"65 + 61\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6385, "numbers": [61, 65], "target": 126, "expression": "65 + 61"}

null

[ "To solve this problem using the numbers [61, 65] with the operations (+, -, *, /), we need to find a combination that equals 126. Let's break it down:\n\n1. First, let's try adding two numbers together:\n - 61 + 65 = 126\n\nThis simple addition directly gives us the desired result without needing any other operations. Therefore, our final equation is:\n\n<answer>\nStep 1: 61 + 65 = 126\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [61, 65], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 61 + 65 = 126" ]

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[{"answer_block": "Step 1: 61 + 65 = 126", "error": null, "final_answer": 126.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 61 + 65 = 126" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 61 + 65 = 126", "context": "<answer> Step 1: 61 + 65 = 126 </answer>", "end_line": 9, "end_pos": 383, "start_line": 9, "start_pos": 361}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 383, "line_range": "9-9", "start_pos": 361}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 61 + 65 = 126', 'error': None, 'final_answer': 126.0, 'is_correct': True}]"}]

2025-07-26

Calculate 151 using all of these numbers: 69, 82. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

82 + 69

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [69, 82], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5283, \"numbers\": [69, 82], \"target\": 151, \"expression\": \"82 + 69\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5283, "numbers": [69, 82], "target": 151, "expression": "82 + 69"}

null

[ "To solve this problem, we need to find a combination of the given numbers [69, 82] using basic arithmetic operations (+, -, *, /) such that the result equals 151.\n\nFirst, let's try some simple combinations:\n\nStep 1: Let's start with addition:\n69 + 82 = 151\n\nThis works because adding 69 and 82 gives us 151 directly.\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 69 + 82 = 151\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [69, 82], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 69 + 82 = 151" ]

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[{"answer_block": "Step 1: 69 + 82 = 151", "error": null, "final_answer": 151.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 69 + 82 = 151" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 69 + 82 = 151", "context": "inside <answer> tags showing the solution", "end_line": 13, "end_pos": 382, "start_line": 13, "start_pos": 360}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 382, "line_range": "13-13", "start_pos": 360}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 69 + 82 = 151', 'error': None, 'final_answer': 151.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 141 using all of these numbers: 65, 76. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

65 + 76

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [65, 76], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5939, \"numbers\": [65, 76], \"target\": 141, \"expression\": \"65 + 76\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5939, "numbers": [65, 76], "target": 141, "expression": "65 + 76"}

null

[ "To solve this problem, we need to use the numbers 65 and 76 along with basic arithmetic operations to reach the target number 141. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 65 + 76 = 141\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 65 + 76 = 141\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [65, 76], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 65 + 76 = 141" ]

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[ [ "Step 1: 65 + 76 = 141" ] ]

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[{"value": "[{'answer_block': 'Step 1: 65 + 76 = 141', 'error': None, 'final_answer': 141.0, 'is_correct': True}]"}]

2025-07-26

Calculate 139 using all of these numbers: 89, 50. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

50 + 89

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [89, 50], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6381, \"numbers\": [89, 50], \"target\": 139, \"expression\": \"50 + 89\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6381, "numbers": [89, 50], "target": 139, "expression": "50 + 89"}

null

[ "To solve this problem, we need to combine the given numbers [89, 50] using basic arithmetic operations (+, -, *, /) so that the result equals 139. Let's break it down:\n\nStep 1: We start with the two numbers provided: 89 and 50.\nStep 2: To get close to 139, we should consider adding or subtracting these numbers.\nStep 3: One way to approach this is to add 89 and 50 directly because their sum is already quite large (139).\nStep 4: However, since we are limited to using each number only once, let's try another combination.\nStep 5: Consider multiplying one number by itself and then adding the other number. This could give us a higher value than just adding them together.\nStep 6: Calculate 89 * 50 = 4450.\nStep 7: Now, we need to find a way to adjust this product to reach 139.\nStep 8: Subtract 4450 from 139 to see if we can get closer to our goal.\nStep 9: 139 - 4450 = -4311\n\nSince this doesn't seem to lead us to 139, let's reconsider our initial idea of addition and multiplication.\n\nFinal Answer:\n<answer>\nStep 1: 89 * 50 = 4450\nStep 2: 4450 - 139 = 4311\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [89, 50], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 89 * 50 = 4450\nStep 2: 4450 - 139 = 4311" ]

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[{"answer_block": "Step 1: 89 * 50 = 4450\nStep 2: 4450 - 139 = 4311", "error": "Line uses unavailable numbers: Step 2: 4450 - 139 = 4311", "final_answer": 4311.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 89 * 50 = 4450\nStep 2: 4450 - 139 = 4311" ] ]

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[{"value": "[{'answer_block': 'Step 1: 89 * 50 = 4450\\nStep 2: 4450 - 139 = 4311', 'error': 'Line uses unavailable numbers: Step 2: 4450 - 139 = 4311', 'final_answer': 4311.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 160 using all of these numbers: 61, 99. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

99 + 61

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [61, 99], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5320, \"numbers\": [61, 99], \"target\": 160, \"expression\": \"99 + 61\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5320, "numbers": [61, 99], "target": 160, "expression": "99 + 61"}

null

[ "To solve this problem, we need to use the numbers 61 and 99 exactly once and apply basic arithmetic operations to get the target number 160. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 61 + 99 = 160\n\nThis equation uses both numbers exactly once and follows the rules of basic arithmetic. Therefore, the final answer is:\n\n<answer>\nStep 1: 61 + 99 = 160\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [61, 99], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 61 + 99 = 160" ]

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[ [ "Step 1: 61 + 99 = 160" ] ]

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2025-07-26

Calculate 170 using all of these numbers: 100, 70. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

70 + 100

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [100, 70], create an equation that equals 170. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6216, \"numbers\": [100, 70], \"target\": 170, \"expression\": \"70 + 100\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6216, "numbers": [100, 70], "target": 170, "expression": "70 + 100"}

null

[ "To solve this problem, we need to use the numbers 100 and 70 exactly once and apply basic arithmetic operations to get the target number 170. Let's break it down:\n\n1. We start with the number 100.\n2. To reach 170, we need to add some value to 100.\n3. The difference between 170 and 100 is 70.\n4. Therefore, we need to subtract 70 from 100 to get 30.\n5. Now, we have two remaining numbers: 70 and 30.\n6. We can multiply these two numbers together to get 2100 (since 70 * 30 = 2100).\n7. Finally, we divide 2100 by 100 to get 21.\n\nSo, the equation using the given numbers exactly once is:\n\n100 - 70 = 30\n30 * 70 = 2100\n2100 / 100 = 21\n\nTherefore, the steps are:\n\nStep 1: 100 - 70 = 30\nStep 2: 30 * 70 = 2100\nStep 3: 2100 / 100 = 21\n\n<answer>\nStep 1: 100 - 70 = 30\nStep 2: 30 * 70 = 2100\nStep 3: 2100 / 100 = 21\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [100, 70], create an equation that equals 170. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 100 - 70 = 30\nStep 2: 30 * 70 = 2100\nStep 3: 2100 / 100 = 21" ]

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[{"answer_block": "Step 1: 100 - 70 = 30\nStep 2: 30 * 70 = 2100\nStep 3: 2100 / 100 = 21", "error": "Line uses unavailable numbers: Step 2: 30 * 70 = 2100", "final_answer": 2100.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 100 - 70 = 30\nStep 2: 30 * 70 = 2100\nStep 3: 2100 / 100 = 21" ] ]

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2025-07-26

Using all the numbers 79, 88, create an expression that equals 167. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

79 + 88

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [79, 88], create an equation that equals 167. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5910, \"numbers\": [79, 88], \"target\": 167, \"expression\": \"79 + 88\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5910, "numbers": [79, 88], "target": 167, "expression": "79 + 88"}

null

[ "To solve this problem, we need to combine the given numbers [79, 88] using basic arithmetic operations (+, -, *, /) so that the result equals 167. Let's break it down:\n\nStep 1: We start with the two numbers provided: 79 and 88.\nStep 2: To get close to 167, we should consider adding or subtracting these numbers.\nStep 3: One way to approach this is to add 79 and 88 directly because their sum is already quite large (167).\nStep 4: However, since we are limited to using each number only once, let's try another combination involving multiplication and addition/subtraction.\n\nStep 5: Consider multiplying 79 by 88 and then adding some value to reach 167.\nStep 6: Calculate 79 * 88 = 6872.\nStep 7: Now, we need to find a value to add or subtract from 6872 to get 167.\nStep 8: Subtract 6872 - 167 = -6705, which doesn't help us achieve our goal.\nStep 9: Instead, let's try dividing one of the numbers by the other and see if we can adjust the result to get closer to 167.\n\nStep 10: Divide 79 by 88: 79 ÷ 88 ≈ 0.8955.\nStep 11: Multiply this result by 88: 0.8955 * 88 ≈ 79.552.\nStep 12: Add this result to 79: 79 + 79.552 = 158.552, which is still far from 167.\n\nGiven these steps, it seems challenging to achieve exactly 167 using just the numbers 79 and 88 without repeating any number. Therefore, based on the constraints and available operations, it appears there might be no valid solution using only these two numbers and the allowed operations.\n\nFinal Answer: No valid solution found." ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [79, 88], create an equation that equals 167. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ false ]

[ "No valid solution found." ]

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[{"answer_block": "No valid solution found.", "error": "Could not evaluate expression", "final_answer": null, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "No valid solution found." ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "No valid solution found.", "context": "Final Answer: No valid solution found.", "end_line": 20, "end_pos": 1486, "start_line": 20, "start_pos": 1448}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 1486, "line_range": "20-20", "start_pos": 1448}], "total_internal_spans": 1, "total_spans": 1}

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2025-07-26

Find a way to make 636 using all of these numbers: 12, 53. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

53*12

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [12, 53], create an equation that equals 636. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5557, \"numbers\": [12, 53], \"target\": 636, \"expression\": \"53*12\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5557, "numbers": [12, 53], "target": 636, "expression": "53*12"}

null

[ "To solve this problem, we need to find a combination of the given numbers [12, 53] using basic arithmetic operations (+, -, *, /) that results in the target number 636.\n\nStep 1: Let's start with the multiplication operation since it often helps in creating larger numbers quickly.\n\nMultiplication: 53 * 12 = 636\n\nSo, one possible solution is:\n\n<answer>\nStep 1: 53 * 12 = 636\n</answer>" ]

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[ "Step 1: 53 * 12 = 636" ]

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[{"answer_block": "Step 1: 53 * 12 = 636", "error": null, "final_answer": 636.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 53 * 12 = 636" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 53 * 12 = 636", "context": "<answer> Step 1: 53 * 12 = 636 </answer>", "end_line": 10, "end_pos": 375, "start_line": 10, "start_pos": 353}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 375, "line_range": "10-10", "start_pos": 353}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 53 * 12 = 636', 'error': None, 'final_answer': 636.0, 'is_correct': True}]"}]

2025-07-26

Calculate 782 using all of these numbers: 46, 17. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

46*17

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [46, 17], create an equation that equals 782. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5778, \"numbers\": [46, 17], \"target\": 782, \"expression\": \"46*17\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5778, "numbers": [46, 17], "target": 782, "expression": "46*17"}

null

[ "To solve this problem, we need to combine the given numbers [46, 17] using basic arithmetic operations (+, -, *, /) so that the result equals 782. Let's break it down:\n\nStep 1: We start with the two numbers provided: 46 and 17.\nStep 2: To get close to 782, we should consider multiplication because it grows quickly. Multiplying these two numbers gives us:\n 46 * 17 = 782\n\nTherefore, the equation that equals 782 using the numbers [46, 17] is simply their product.\n\nFinal Answer:\n<answer>\nStep 1: 46 * 17 = 782\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [46, 17], create an equation that equals 782. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 46 * 17 = 782" ]

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[ [ "Step 1: 46 * 17 = 782" ] ]

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2025-07-26

Find a way to make 151 using all of these numbers: 54, 97. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

97 + 54

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [54, 97], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5153, \"numbers\": [54, 97], \"target\": 151, \"expression\": \"97 + 54\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5153, "numbers": [54, 97], "target": 151, "expression": "97 + 54"}

null

[ "To solve this problem, we need to use the numbers 54 and 97 along with basic arithmetic operations to reach the target number 151. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 54 + 97 = 151\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\n54 + 97 = 151\n\nSo, the steps are straightforward:\n\nStep 1: 54 + 97 = 151\n\n<answer>\nStep 1: 54 + 97 = 151\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [54, 97], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

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[ "Step 1: 54 + 97 = 151" ]

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[ [ "Step 1: 54 + 97 = 151" ] ]

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2025-07-26

Calculate 130 using all of these numbers: 86, 44. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

86 + 44

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [86, 44], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6469, \"numbers\": [86, 44], \"target\": 130, \"expression\": \"86 + 44\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6469, "numbers": [86, 44], "target": 130, "expression": "86 + 44"}

null

[ "To solve this problem, we need to use the numbers 86 and 44 exactly once and apply basic arithmetic operations to get the target number 130. Let's break it down:\n\nStep 1: We start with the two given numbers, 86 and 44.\nStep 2: To reach the target number 130, we need to add these two numbers together because their sum should equal 130.\nStep 3: Therefore, the equation would be: 86 + 44 = 130\n\nFinal Answer: \n<answer>\nStep 1: 86 + 44 = 130\n</answer>" ]

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[ [ "Step 1: 86 + 44 = 130" ] ]

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[{"value": "[{'answer_block': 'Step 1: 86 + 44 = 130', 'error': None, 'final_answer': 130.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 55, 4, create an expression that equals 220. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

55*4

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [55, 4], create an equation that equals 220. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5967, \"numbers\": [55, 4], \"target\": 220, \"expression\": \"55*4\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5967, "numbers": [55, 4], "target": 220, "expression": "55*4"}

null

[ "To solve this problem, we need to use the numbers 55 and 4 exactly once and apply basic arithmetic operations to get the target number 220. Let's break it down:\n\n1. First, let's try adding 55 and 4 together:\n 55 + 4 = 59\n\n2. Now, we have 59 left to reach our target of 220. We can multiply 59 by 4 to get close to 220:\n 59 * 4 = 236\n\n3. However, 236 is still too high. We need to adjust our approach slightly. Instead of multiplying, let's subtract 4 from 59:\n 59 - 4 = 55\n\n4. Now, we have 55 left again. To get closer to 220, we should add 4 back to 55:\n 55 + 4 = 59\n\n5. Finally, we need to find another way to get to 220 using these numbers. Since we already have 55 and 4, let's consider dividing 55 by 4:\n 55 / 4 = 13.75\n\n6. This doesn't give us the exact number we want. So, let's try combining some other operations. If we divide 55 by 4 and then add 4, we might get closer:\n (55 / 4) + 4 = 13.75 + 4 = 17.75\n\n7. This is still not quite there. Let's try another combination. If we take 55 and subtract 4, then divide by 4, we might get closer:\n (55 - 4) / 4 = 51 / 4 = 12.75\n\n8. This is also not correct. Let's try one more combination. If we take 55 and subtract 4, then add 4, and finally divide by 4, we might get closer:\n ((55 - 4) + 4) / 4 = 55 / 4 = 13.75\n\n9. This is still not correct. Let's try one last combination. If we take 55 and subtract 4, then add 4, and finally divide by 4, we might get closer:\n ((55 - 4) + 4) / 4 = 55 / 4 = 13.75\n\n10. After trying several combinations, we realize that none of them directly lead to 220 without additional steps or errors. Therefore, it seems impossible to achieve exactly 220 with just addition, subtraction, multiplication, and division using the numbers 55 and 4 exactly once.\n\nFinal Answer:\nNo solution found with given constraints." ]

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[ false ]

[ "No solution found with given constraints." ]

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[ [ "No solution found with given constraints." ] ]

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2025-07-26

Calculate 132 using all of these numbers: 98, 34. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

34 + 98

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [98, 34], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5907, \"numbers\": [98, 34], \"target\": 132, \"expression\": \"34 + 98\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5907, "numbers": [98, 34], "target": 132, "expression": "34 + 98"}

null

[ "To solve this problem, we need to use the numbers 98 and 34 exactly once and apply basic arithmetic operations to get the target number 132. Let's break it down:\n\n1. First, let's try adding 98 and 34:\n 98 + 34 = 132\n\nThis addition directly gives us the target number without needing any other operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 98 + 34 = 132\n</answer>" ]

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[ [ true ] ]

[ [ "Step 1: 98 + 34 = 132" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 98 + 34 = 132", "context": "<answer> Step 1: 98 + 34 = 132 </answer>", "end_line": 9, "end_pos": 380, "start_line": 9, "start_pos": 358}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 380, "line_range": "9-9", "start_pos": 358}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 98 + 34 = 132', 'error': None, 'final_answer': 132.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 756 using all of these numbers: 14, 54. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

14*54

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6685, \"numbers\": [14, 54], \"target\": 756, \"expression\": \"14*54\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6685, "numbers": [14, 54], "target": 756, "expression": "14*54"}

null

[ "To solve this problem, we need to find a combination of the given numbers [14, 54] using basic arithmetic operations (+, -, *, /) that results in the target number 756.\n\nStep 1: Let's start with multiplication since it often helps in creating larger numbers quickly.\nMultiplying 54 by itself gives us 54 * 54 = 2916\n\nStep 2: Now, we have 2916 - 756 = 2160\n\nStep 3: We still need to reach 756 from 2160. To do this, we can divide 2160 by 3 (since 2160 ÷ 3 = 720)\n\nStep 4: Finally, subtracting 720 from 756 gives us 756 - 720 = 36\n\nSo, combining all these steps together, we get the following equation:\n\n54 * 54 - 756 / 3 = 756\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 54 * 54 = 2916\nStep 2: 2916 - 756 = 2160\nStep 3: 2160 / 3 = 720\nStep 4: 756 - 720 = 36\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [14, 54], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 54 * 54 = 2916\nStep 2: 2916 - 756 = 2160\nStep 3: 2160 / 3 = 720\nStep 4: 756 - 720 = 36" ]

{"all_spans_summary": [{"answer": "Step 1: 54 * 54 = 2916\nStep 2: 2916 - 756 = 2160\nStep 3: 2160 / 3 = 720\nStep 4: 756 - 720 = 36", "context": "<answer> Step 1: 54 * 54 = 2916 ... Step 4: 756 - 720 = 36 </answer>", "end_line": 22, "start_line": 19}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 54 * 54 = 2916\nStep 2: 2916 - 756 = 2160\nStep 3: 2160 / 3 = 720\nStep 4: 756 - 720 = 36", "context": "<answer> Step 1: 54 * 54 = 2916 ... Step 4: 756 - 720 = 36 </answer>", "end_line": 22, "end_pos": 764, "start_line": 19, "start_pos": 669}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 54 * 54 = 2916\nStep 2: 2916 - 756 = 2160\nStep 3: 2160 / 3 = 720\nStep 4: 756 - 720 = 36", "error": "Line uses unavailable numbers: Step 1: 54 * 54 = 2916", "final_answer": 2916.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 54 * 54 = 2916\nStep 2: 2916 - 756 = 2160\nStep 3: 2160 / 3 = 720\nStep 4: 756 - 720 = 36" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 54 * 54 = 2916\nStep 2: 2916 - 756 = 2160\nStep 3: 2160 / 3 = 720\nStep 4: 756 - 720 = 36", "context": "<answer> Step 1: 54 * 54 = 2916 ... Step 4: 756 - 720 = 36 </answer>", "end_line": 22, "end_pos": 764, "start_line": 19, "start_pos": 669}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 764, "line_range": "19-22", "start_pos": 669}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 54 * 54 = 2916\\nStep 2: 2916 - 756 = 2160\\nStep 3: 2160 / 3 = 720\\nStep 4: 756 - 720 = 36', 'error': 'Line uses unavailable numbers: Step 1: 54 * 54 = 2916', 'final_answer': 2916.0, 'is_correct': False}]"}]

2025-07-26

Calculate 105 using all of these numbers: 19, 86. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

86 + 19

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [19, 86], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6750, \"numbers\": [19, 86], \"target\": 105, \"expression\": \"86 + 19\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6750, "numbers": [19, 86], "target": 105, "expression": "86 + 19"}

null

[ "To solve this problem, we need to use the numbers 19 and 86 along with basic arithmetic operations to reach the target number 105. Let's break it down:\n\n1. First, let's try adding 19 and 86 together:\n 19 + 86 = 105\n\nThis equation uses all the given numbers exactly once and results in the target number 105. Therefore, our final answer is:\n\n<answer>\nStep 1: 19 + 86 = 105\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [19, 86], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 19 + 86 = 105" ]

{"all_spans_summary": [{"answer": "Step 1: 19 + 86 = 105", "context": "<answer> Step 1: 19 + 86 = 105 </answer>", "end_line": 9, "start_line": 9}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 19 + 86 = 105", "context": "<answer> Step 1: 19 + 86 = 105 </answer>", "end_line": 9, "end_pos": 374, "start_line": 9, "start_pos": 352}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 19 + 86 = 105", "error": null, "final_answer": 105.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 19 + 86 = 105" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 19 + 86 = 105", "context": "<answer> Step 1: 19 + 86 = 105 </answer>", "end_line": 9, "end_pos": 374, "start_line": 9, "start_pos": 352}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 374, "line_range": "9-9", "start_pos": 352}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 19 + 86 = 105', 'error': None, 'final_answer': 105.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 73, 48, create an expression that equals 121. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

48 + 73

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6756, \"numbers\": [73, 48], \"target\": 121, \"expression\": \"48 + 73\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6756, "numbers": [73, 48], "target": 121, "expression": "48 + 73"}

null

[ "To solve this problem, we need to use the numbers 73 and 48 exactly once and apply basic arithmetic operations to get the target number 121. Let's break it down:\n\nStep 1: We start with the two given numbers, 73 and 48.\nStep 2: To reach the target number 121, we should consider adding or subtracting these numbers to see if we can achieve the desired result.\nStep 3: One possible way to get close to 121 using these numbers could involve multiplication and addition/subtraction.\n\nLet's try different combinations:\n\n- If we add 73 and 48, we get 121 directly: 73 + 48 = 121\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 73 + 48 = 121\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [73, 48], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 73 + 48 = 121" ]

{"all_spans_summary": [{"answer": "Step 1: 73 + 48 = 121", "context": "<answer> Step 1: 73 + 48 = 121 </answer>", "end_line": 14, "start_line": 14}], "empty_response": false, "extraction_method": "llm_judge", "final_span_info": {"answer": "Step 1: 73 + 48 = 121", "context": "<answer> Step 1: 73 + 48 = 121 </answer>", "end_line": 14, "end_pos": 638, "start_line": 14, "start_pos": 616}, "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "total_spans": 1, "total_spans_found": 1}

[{"answer_block": "Step 1: 73 + 48 = 121", "error": null, "final_answer": 121.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 73 + 48 = 121" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 73 + 48 = 121", "context": "<answer> Step 1: 73 + 48 = 121 </answer>", "end_line": 14, "end_pos": 638, "start_line": 14, "start_pos": 616}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 638, "line_range": "14-14", "start_pos": 616}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 73 + 48 = 121', 'error': None, 'final_answer': 121.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 40, 12, create an expression that equals 480. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

40*12

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [40, 12], create an equation that equals 480. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5741, \"numbers\": [40, 12], \"target\": 480, \"expression\": \"40*12\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5741, "numbers": [40, 12], "target": 480, "expression": "40*12"}

null

[ "To solve this problem, we need to use the numbers 40 and 12 exactly once and apply basic arithmetic operations to get the target number 480. Let's break it down:\n\n1. First, let's try adding 40 and 12 together:\n 40 + 12 = 52\n\n2. Now, we have 52 left to reach our target of 480. We can multiply 52 by 9 to get close to 480:\n 52 * 9 = 468\n\n3. To get closer to 480, we can add 12 more to 468:\n 468 + 12 = 480\n\nSo, the sequence of steps would be:\n- Start with 40 and 12\n- Add them together (40 + 12 = 52)\n- Multiply the sum by 9 (52 * 9 = 468)\n- Add 12 more to the product (468 + 12 = 480)\n\nTherefore, the final answer is:\n<answer>\nStep 1: 40 + 12 = 52\nStep 2: 52 * 9 = 468\nStep 3: 468 + 12 = 480\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [40, 12], create an equation that equals 480. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 40 + 12 = 52\nStep 2: 52 * 9 = 468\nStep 3: 468 + 12 = 480" ]

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[{"answer_block": "Step 1: 40 + 12 = 52\nStep 2: 52 * 9 = 468\nStep 3: 468 + 12 = 480", "error": "Line uses unavailable numbers: Step 2: 52 * 9 = 468", "final_answer": 468.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 40 + 12 = 52\nStep 2: 52 * 9 = 468\nStep 3: 468 + 12 = 480" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 40 + 12 = 52\nStep 2: 52 * 9 = 468\nStep 3: 468 + 12 = 480", "context": "Therefore, the final answer is:", "end_line": 22, "end_pos": 698, "start_line": 20, "start_pos": 633}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 698, "line_range": "20-22", "start_pos": 633}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 40 + 12 = 52\\nStep 2: 52 * 9 = 468\\nStep 3: 468 + 12 = 480', 'error': 'Line uses unavailable numbers: Step 2: 52 * 9 = 468', 'final_answer': 468.0, 'is_correct': False}]"}]

2025-07-26

Using all the numbers 62, 44, create an expression that equals 106. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

62 + 44

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [62, 44], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6408, \"numbers\": [62, 44], \"target\": 106, \"expression\": \"62 + 44\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6408, "numbers": [62, 44], "target": 106, "expression": "62 + 44"}

null

[ "To solve this problem, we need to use the numbers 62 and 44 exactly once and apply basic arithmetic operations to get the target number 106.\n\nHere’s how we can do it:\n\n1. Start with the number 62.\n2. We want to reach 106, so let's consider adding or subtracting from 62 to see if we can get close to 106 using the other number 44.\n\nLet's try different combinations:\n\n- If we add 44 to 62:\n 62 + 44 = 106\n\nThis combination works because both numbers are used exactly once, and the addition operation gives us the desired result of 106.\n\nTherefore, the steps are:\nStep 1: 62 + 44 = 106\n\nFinal answer: <answer>\nStep 1: 62 + 44 = 106\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [62, 44], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 62 + 44 = 106" ]

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[ [ "Step 1: 62 + 44 = 106" ] ]

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2025-07-26

Calculate 357 using all of these numbers: 17, 21. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

21*17

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [17, 21], create an equation that equals 357. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5894, \"numbers\": [17, 21], \"target\": 357, \"expression\": \"21*17\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5894, "numbers": [17, 21], "target": 357, "expression": "21*17"}

null

[ "To solve this problem, we need to combine the given numbers [17, 21] using basic arithmetic operations (+, -, *, /) so that the result equals 357. Let's break it down:\n\n1. First, let's try adding the two numbers together:\n 17 + 21 = 38\n\n2. Now, we have 38 left to reach our target of 357. We can't simply add or subtract because we don't have enough numbers to get there directly from 38.\n\n3. Instead, let's consider multiplying 38 by another number. If we multiply 38 by 9, we get:\n 38 * 9 = 342\n\n4. This doesn't quite give us 357, but if we add one more number, we can get close. Let's try multiplying 38 by 9 again (since we already did it), then add 15:\n 38 * 9 = 342\n 342 + 15 = 357\n\nSo, the final equation that equals 357 using the numbers [17, 21] is:\n(38 * 9) + 15 = 357\n\nTherefore, the steps are:\nStep 1: 38 * 9 = 342\nStep 2: 342 + 15 = 357\n\n<answer>\nStep 1: 38 * 9 = 342\nStep 2: 342 + 15 = 357\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [17, 21], create an equation that equals 357. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 38 * 9 = 342\nStep 2: 342 + 15 = 357" ]

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[ [ false ] ]

[ [ "Step 1: 38 * 9 = 342\nStep 2: 342 + 15 = 357" ] ]

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2025-07-26

Using all the numbers 51, 4, create an expression that equals 204. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

4*51

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [51, 4], create an equation that equals 204. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6639, \"numbers\": [51, 4], \"target\": 204, \"expression\": \"4*51\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6639, "numbers": [51, 4], "target": 204, "expression": "4*51"}

null

[ "To solve this problem, we need to use the numbers 51 and 4 exactly once and apply basic arithmetic operations to get the target number 204. Let's break it down:\n\nStep 1: We start with the number 51.\nStep 2: To reach 204, we need to multiply 51 by some number. The closest multiple of 51 below 204 is 17 * 51 = 861 (which is too high), so let's try multiplying by 4 instead.\nStep 3: If we multiply 51 by 4, we get 204.\n\nSo, the equation would be:\n51 * 4 = 204\n\nTherefore, the steps are:\nStep 1: 51 * 4 = 204" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [51, 4], create an equation that equals 204. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 51 * 4 = 204" ]

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[{"answer_block": "Step 1: 51 * 4 = 204", "error": null, "final_answer": 204.0, "is_correct": true, "method": null, "reason": null}]

[ [ true, true ] ]

[ [ "51 * 4", "Step 1: 51 * 4 = 204" ] ]

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2025-07-26

Find a way to make 159 using all of these numbers: 68, 91. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

91 + 68

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [68, 91], create an equation that equals 159. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5470, \"numbers\": [68, 91], \"target\": 159, \"expression\": \"91 + 68\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5470, "numbers": [68, 91], "target": 159, "expression": "91 + 68"}

null

[ "To solve this problem, we need to find a combination of the given numbers [68, 91] using basic arithmetic operations (+, -, *, /) that results in the target number 159.\n\nStep 1: Let's start with the larger number, 91, and see if we can get close to 159 using it.\n\nStep 2: If we subtract 68 from 91, we get 23. This doesn't seem like a good starting point because 159 - 23 = 136, which is still far away from our target.\n\nStep 3: Instead, let's try adding or subtracting smaller numbers to/from 91 to get closer to 159.\n\nStep 4: Adding 68 to 91 gives us 159 exactly! So, one possible solution is:\n\n91 + 68 = 159\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 91 + 68 = 159\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [68, 91], create an equation that equals 159. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 91 + 68 = 159" ]

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[ [ true ] ]

[ [ "Step 1: 91 + 68 = 159" ] ]

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2025-07-26

Find a way to make 134 using all of these numbers: 53, 81. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

53 + 81

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [53, 81], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6630, \"numbers\": [53, 81], \"target\": 134, \"expression\": \"53 + 81\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6630, "numbers": [53, 81], "target": 134, "expression": "53 + 81"}

null

[ "To solve this problem, we need to use the numbers 53 and 81 exactly once and apply basic arithmetic operations to get the target number 134. Let's break it down:\n\nStep 1: We start with the two given numbers, 53 and 81.\nStep 2: To reach the target number 134, we should consider adding or subtracting these numbers since multiplication and division would likely exceed our target quickly.\nStep 3: One way to approach this could be to add 53 and 81 together because their sum is close to 134 (53 + 81 = 134).\nStep 4: However, let's also try subtraction to see if we can achieve 134 using just one operation on either number.\nStep 5: If we subtract 53 from 81, we get -70, which doesn't help us towards our goal.\nStep 6: Since addition works well and gives us 134 directly without needing any other operations, we'll go with that method.\n\nFinal Answer:\n<answer>\nStep 1: 53 + 81 = 134\n</answer>" ]

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[ [ "Step 1: 53 + 81 = 134" ] ]

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2025-07-26

Using all the numbers 100, 60, create an expression that equals 160. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

60 + 100

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [100, 60], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5890, \"numbers\": [100, 60], \"target\": 160, \"expression\": \"60 + 100\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5890, "numbers": [100, 60], "target": 160, "expression": "60 + 100"}

null

[ "To solve this problem, we need to use the numbers 100 and 60 with basic arithmetic operations to get the target number 160. Let's break it down:\n\n1. We start with two numbers: 100 and 60.\n2. To reach 160, we need to add or subtract these numbers.\n3. Since we are allowed to use each number only once, let's try adding them together:\n 100 + 60 = 160\n\nTherefore, the equation using the given numbers to equal 160 is:\n100 + 60 = 160\n\nFinal answer: <answer>\n100 + 60 = 160\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [100, 60], create an equation that equals 160. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "100 + 60 = 160" ]

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[{"answer_block": "100 + 60 = 160", "error": null, "final_answer": 160.0, "is_correct": true, "method": null, "reason": null}]

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[ [ "100 + 60 = 160" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "100 + 60 = 160", "context": "Final answer: <answer> 100 + 60 = 160 </answer>", "end_line": 12, "end_pos": 471, "start_line": 12, "start_pos": 456}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 471, "line_range": "12-12", "start_pos": 456}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': '100 + 60 = 160', 'error': None, 'final_answer': 160.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 62, 95, create an expression that equals 157. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

95 + 62

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [62, 95], create an equation that equals 157. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6145, \"numbers\": [62, 95], \"target\": 157, \"expression\": \"95 + 62\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6145, "numbers": [62, 95], "target": 157, "expression": "95 + 62"}

null

[ "To solve this problem, we need to combine the given numbers [62, 95] using basic arithmetic operations (+, -, *, /) so that the result equals 157. Let's break it down:\n\nStep 1: We start with the two numbers provided: 62 and 95.\nStep 2: To get close to 157, we should consider adding or subtracting these numbers.\nStep 3: One way to approach this is to add 95 to 62, which gives us 157 directly.\n\nTherefore, the equation would be:\nStep 1: 62 + 95 = 157\n\nFinal Answer: <answer>\nStep 1: 62 + 95 = 157\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [62, 95], create an equation that equals 157. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 62 + 95 = 157" ]

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[{"answer_block": "Step 1: 62 + 95 = 157", "error": null, "final_answer": 157.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 62 + 95 = 157" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 62 + 95 = 157", "context": "Final Answer: <answer> ... </answer>", "end_line": 11, "end_pos": 498, "start_line": 11, "start_pos": 476}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 498, "line_range": "11-11", "start_pos": 476}], "total_internal_spans": 1, "total_spans": 1}

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2025-07-26

Find a way to make 612 using all of these numbers: 18, 34. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

18*34

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [18, 34], create an equation that equals 612. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5492, \"numbers\": [18, 34], \"target\": 612, \"expression\": \"18*34\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5492, "numbers": [18, 34], "target": 612, "expression": "18*34"}

null

[ "To solve this problem, we need to find a combination of the given numbers [18, 34] using basic arithmetic operations (+, -, *, /) that results in the target number 612.\n\nStep 1: Let's start with multiplication since it often helps in creating larger numbers quickly.\nMultiplying 34 by itself gives us 1156, which is too large. So let's try multiplying 18 by 34 instead.\n18 * 34 = 612\n\nTherefore, the final answer is:\n<answer>\nStep 1: 18 * 34 = 612\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [18, 34], create an equation that equals 612. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

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[ "Step 1: 18 * 34 = 612" ]

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[ [ true ] ]

[ [ "Step 1: 18 * 34 = 612" ] ]

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[{"value": "[{'answer_block': 'Step 1: 18 * 34 = 612', 'error': None, 'final_answer': 612.0, 'is_correct': True}]"}]

2025-07-26

Calculate 146 using all of these numbers: 87, 59. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

87 + 59

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [87, 59], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5183, \"numbers\": [87, 59], \"target\": 146, \"expression\": \"87 + 59\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5183, "numbers": [87, 59], "target": 146, "expression": "87 + 59"}

null

[ "To solve this problem, we need to find a combination of the given numbers [87, 59] using basic arithmetic operations (+, -, *, /) that results in the target number 146.\n\nStep 1: Let's start with the larger number, 87, and see if we can get close to 146 without exceeding it.\n - We can try subtracting smaller numbers from 87 to see if we can reach 146.\n\nStep 2: If we subtract 59 from 87, we get:\n 87 - 59 = 28\n\nStep 3: Now we have 28 left to reach our target of 146. To do this, we can add another 117 (since 146 - 28 = 118).\n - But we don't have 118 available. Instead, let's consider multiplying or dividing these numbers to get closer to 146.\n\nStep 4: Multiplying 28 by 5 gives us:\n 28 * 5 = 140\n\nStep 5: Adding 6 more to 140 gets us very close to 146:\n 140 + 6 = 146\n\nTherefore, the final equation is:\nStep 1: 28 * 5 = 140\nStep 2: 140 + 6 = 146\n\nSo, the final answer is:\n<answer>\nStep 1: 28 * 5 = 140\nStep 2: 140 + 6 = 146\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [87, 59], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 28 * 5 = 140\nStep 2: 140 + 6 = 146" ]

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[ [ false ] ]

[ [ "Step 1: 28 * 5 = 140\nStep 2: 140 + 6 = 146" ] ]

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2025-07-26

Find a way to make 123 using all of these numbers: 34, 89. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

89 + 34

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [34, 89], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6558, \"numbers\": [34, 89], \"target\": 123, \"expression\": \"89 + 34\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6558, "numbers": [34, 89], "target": 123, "expression": "89 + 34"}

null

[ "To solve this problem, we need to use the numbers 34 and 89 exactly once and apply basic arithmetic operations to get the target number 123. Let's break it down:\n\nStep 1: We start with the number 34.\nStep 2: To reach 123, we need to add or subtract from 34. Since 123 - 34 = 89, we can try adding 89 to 34.\nStep 3: Now we have 34 + 89 = 123\n\nTherefore, the final answer is:\n<answer>\nStep 1: 34 + 89 = 123\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [34, 89], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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2025-07-26

Using all the numbers 50, 5, create an expression that equals 250. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

50*5

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [50, 5], create an equation that equals 250. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5177, \"numbers\": [50, 5], \"target\": 250, \"expression\": \"50*5\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5177, "numbers": [50, 5], "target": 250, "expression": "50*5"}

null

[ "To solve this problem, we need to use the numbers 50 and 5 exactly once and apply basic arithmetic operations to get the target number 250. Let's break it down:\n\n1. We start with the number 50.\n2. To reach 250 from 50, we need to multiply or divide by some factor.\n3. The closest factor to 250/50 is 5 (since 250 ÷ 50 = 5).\n4. Therefore, we should multiply 50 by 5 to get close to 250.\n5. However, multiplying by 5 would give us 250 directly without needing any other operation.\n6. So, our equation becomes: 50 * 5 = 250\n\nTherefore, the final answer is:\n<answer>\nStep 1: 50 * 5 = 250\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [50, 5], create an equation that equals 250. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 50 * 5 = 250" ]

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[{"answer_block": "Step 1: 50 * 5 = 250", "error": null, "final_answer": 250.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 50 * 5 = 250" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 50 * 5 = 250", "context": "Line 12, inside <answer> tags", "end_line": 12, "end_pos": 584, "start_line": 12, "start_pos": 563}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 584, "line_range": "12-12", "start_pos": 563}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 50 * 5 = 250', 'error': None, 'final_answer': 250.0, 'is_correct': True}]"}]

2025-07-26

Calculate 113 using all of these numbers: 91, 22. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

91 + 22

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [91, 22], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6729, \"numbers\": [91, 22], \"target\": 113, \"expression\": \"91 + 22\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6729, "numbers": [91, 22], "target": 113, "expression": "91 + 22"}

null

[ "To solve this problem, we need to use the numbers 91 and 22 exactly once and apply basic arithmetic operations to get the target number 113. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 91 + 22 = 113\n\nThis equation uses both numbers exactly once and follows the rules of basic arithmetic. Therefore, the final answer is:\n\n<answer>\nStep 1: 91 + 22 = 113\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [91, 22], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 91 + 22 = 113" ]

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[{"answer_block": "Step 1: 91 + 22 = 113", "error": null, "final_answer": 113.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 91 + 22 = 113" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 91 + 22 = 113", "context": "<answer> Step 1: 91 + 22 = 113 </answer>", "end_line": 9, "end_pos": 388, "start_line": 9, "start_pos": 366}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 388, "line_range": "9-9", "start_pos": 366}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 91 + 22 = 113', 'error': None, 'final_answer': 113.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 125 using all of these numbers: 61, 64. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

64 + 61

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [61, 64], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5846, \"numbers\": [61, 64], \"target\": 125, \"expression\": \"64 + 61\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5846, "numbers": [61, 64], "target": 125, "expression": "64 + 61"}

null

[ "To solve this problem, we need to use the numbers 61 and 64 exactly once and apply basic arithmetic operations to get the target number 125. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 61 + 64 = 125\n\nThis addition directly gives us the target number without needing any further operations. Therefore, our final equation is simply:\n\n<answer>\nStep 1: 61 + 64 = 125\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [61, 64], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 61 + 64 = 125" ]

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[{"answer_block": "Step 1: 61 + 64 = 125", "error": null, "final_answer": 125.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 61 + 64 = 125" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 61 + 64 = 125", "context": "<answer> Step 1: 61 + 64 = 125 </answer>", "end_line": 9, "end_pos": 399, "start_line": 9, "start_pos": 377}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 399, "line_range": "9-9", "start_pos": 377}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 61 + 64 = 125', 'error': None, 'final_answer': 125.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 100, 9, create an expression that equals 900. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

9*100

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [100, 9], create an equation that equals 900. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6478, \"numbers\": [100, 9], \"target\": 900, \"expression\": \"9*100\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6478, "numbers": [100, 9], "target": 900, "expression": "9*100"}

null

[ "To solve this problem, we need to use the numbers [100, 9] exactly once and apply basic arithmetic operations to get the target number 900.\n\nHere’s how we can break it down:\n\n1. Start with the number 100.\n2. We need to reach 900 from 100 using the remaining number 9.\n3. The simplest way to do this would be to multiply 100 by 9.\n\nSo, let's perform the multiplication:\n\n\\[ 100 \\times 9 = 900 \\]\n\nTherefore, the equation that equals 900 using the numbers [100, 9] is:\n\n<answer>\nStep 1: 100 * 9 = 900\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [100, 9], create an equation that equals 900. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 100 * 9 = 900" ]

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[{"answer_block": "Step 1: 100 * 9 = 900", "error": null, "final_answer": 900.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 100 * 9 = 900" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 100 * 9 = 900", "context": "<answer> Step 1: 100 * 9 = 900 </answer>", "end_line": 16, "end_pos": 499, "start_line": 16, "start_pos": 477}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 499, "line_range": "16-16", "start_pos": 477}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 100 * 9 = 900', 'error': None, 'final_answer': 900.0, 'is_correct': True}]"}]

2025-07-26

Calculate 117 using all of these numbers: 65, 52. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

65 + 52

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [65, 52], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6455, \"numbers\": [65, 52], \"target\": 117, \"expression\": \"65 + 52\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6455, "numbers": [65, 52], "target": 117, "expression": "65 + 52"}

null

[ "To solve this problem, we need to use the numbers 65 and 52 exactly once and apply basic arithmetic operations to get the target number 117. Let's break it down:\n\n1. First, let's try adding these two numbers together:\n 65 + 52 = 117\n\nThis equation uses both numbers exactly once and results in the target number 117. Therefore, our final answer is:\n\n<answer>\nStep 1: 65 + 52 = 117\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [65, 52], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 65 + 52 = 117" ]

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[{"answer_block": "Step 1: 65 + 52 = 117", "error": null, "final_answer": 117.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 65 + 52 = 117" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 65 + 52 = 117", "context": "<answer> Step 1: 65 + 52 = 117 </answer>", "end_line": 9, "end_pos": 383, "start_line": 9, "start_pos": 361}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 383, "line_range": "9-9", "start_pos": 361}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 65 + 52 = 117', 'error': None, 'final_answer': 117.0, 'is_correct': True}]"}]

2025-07-26

Using all the numbers 9, 83, create an expression that equals 747. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

9*83

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [9, 83], create an equation that equals 747. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5719, \"numbers\": [9, 83], \"target\": 747, \"expression\": \"9*83\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5719, "numbers": [9, 83], "target": 747, "expression": "9*83"}

null

[ "To solve this problem, we need to use the numbers 9 and 83 exactly once and apply basic arithmetic operations to get the target number 747. Let's break it down:\n\n1. First, let's try adding 9 and 83 together:\n 9 + 83 = 92\n\n2. Now, we have 92 left to reach our target of 747. We need to add another number to 92 to get close to 747. Since 92 is already quite small, we should consider multiplying or dividing by a larger number.\n\n3. Multiplying 92 by 8 gives us:\n 92 * 8 = 736\n\n4. This is very close to our target of 747, but we still need one more to reach 747. So, we subtract 1 from 736:\n 736 - 1 = 735\n\n5. Finally, we need to adjust this slightly to get closer to 747. If we divide 735 by 2, we get:\n 735 / 2 = 367.5\n\nSince we cannot use fractions in this context, we round up to the nearest whole number if necessary. However, since we are aiming for exactness, we'll keep it as 367.5.\n\nSo, combining all these steps, we get:\n9 + 83 + (92 * 8) - 1 = 747\n\nTherefore, the final answer is:\n<answer>\nStep 1: 9 + 83 = 92\nStep 2: 92 * 8 = 736\nStep 3: 736 - 1 = 735\nStep 4: 735 / 2 = 367.5\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [9, 83], create an equation that equals 747. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 9 + 83 = 92\nStep 2: 92 * 8 = 736\nStep 3: 736 - 1 = 735\nStep 4: 735 / 2 = 367.5" ]

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[{"answer_block": "Step 1: 9 + 83 = 92\nStep 2: 92 * 8 = 736\nStep 3: 736 - 1 = 735\nStep 4: 735 / 2 = 367.5", "error": "Line uses unavailable numbers: Step 2: 92 * 8 = 736", "final_answer": 736.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 9 + 83 = 92\nStep 2: 92 * 8 = 736\nStep 3: 736 - 1 = 735\nStep 4: 735 / 2 = 367.5" ] ]

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2025-07-26

Using all the numbers 84, 55, create an expression that equals 139. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

84 + 55

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [84, 55], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5306, \"numbers\": [84, 55], \"target\": 139, \"expression\": \"84 + 55\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5306, "numbers": [84, 55], "target": 139, "expression": "84 + 55"}

null

[ "To solve this problem, we need to combine the given numbers [84, 55] using basic arithmetic operations (+, -, *, /) so that the result equals 139. Let's break it down:\n\nStep 1: We start with the two numbers provided: 84 and 55.\nStep 2: To get close to 139, we should consider adding or subtracting these numbers.\nStep 3: One way to approach this is to add 84 and 55 together, which gives us 139 directly.\n\nTherefore, the equation would be:\nStep 1: 84 + 55 = 139\n\nFinal Answer: <answer>\nStep 1: 84 + 55 = 139\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [84, 55], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

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[ "Step 1: 84 + 55 = 139" ]

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[{"answer_block": "Step 1: 84 + 55 = 139", "error": null, "final_answer": 139.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 84 + 55 = 139" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 84 + 55 = 139", "context": "Final Answer: <answer> ... </answer>", "end_line": 11, "end_pos": 508, "start_line": 11, "start_pos": 486}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 508, "line_range": "11-11", "start_pos": 486}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 84 + 55 = 139', 'error': None, 'final_answer': 139.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 112 using all of these numbers: 28, 4. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

28*4

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [28, 4], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5242, \"numbers\": [28, 4], \"target\": 112, \"expression\": \"28*4\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5242, "numbers": [28, 4], "target": 112, "expression": "28*4"}

null

[ "To solve this problem, we need to use the numbers 28 and 4 exactly once and apply basic arithmetic operations to get the target number 112.\n\nHere’s how we can break it down:\n\n1. First, let's try adding 28 and 4 together:\n \\( 28 + 4 = 32 \\)\n\n2. Now, we have 32 left from our initial addition. We need to reach 112 using these two numbers again. Let's see if we can multiply or divide to get there.\n\n3. If we divide 32 by 4 (since 4 was one of the original numbers), we get:\n \\( 32 ÷ 4 = 8 \\)\n\n4. Finally, we add 8 to the previous result (which was 32):\n \\( 32 + 8 = 40 \\)\n\n5. This doesn't quite give us 112 yet. So, let's try another approach. Instead of dividing, we could subtract 4 from 32:\n \\( 32 - 4 = 28 \\)\n\n6. Now we have 28 left from our subtraction. We already know that 28 plus 4 gives us 32, so we can use those numbers again:\n \\( 32 + 4 = 36 \\)\n\n7. Adding 4 more times to 36 should bring us closer to 112:\n \\( 36 + 4 = 40 \\)\n \\( 40 + 4 = 44 \\)\n \\( 44 + 4 = 48 \\)\n \\( 48 + 4 = 52 \\)\n \\( 52 + 4 = 56 \\)\n \\( 56 + 4 = 60 \\)\n \\( 60 + 4 = 64 \\)\n \\( 64 + 4 = 68 \\)\n \\( 68 + 4 = 72 \\)\n \\( 72 + 4 = 76 \\)\n \\( 76 + 4 = 80 \\)\n \\( 80 + 4 = 84 \\)\n \\( 84 + 4 = 88 \\)\n \\( 88 + 4 = 92 \\)\n \\( 92 + 4 = 96 \\)\n \\( 96 + 4 = 100 \\)\n \\( 100 + 4 = 104 \\)\n \\( 104 + 4 = 108 \\)\n \\( 108 + 4 = 112 \\)\n\nSo, the correct sequence of steps is:\n\nStep 1: 28 + 4 = 32\nStep 2: 32 - 4 = 28\nStep 3: 28 + 4 = 32\nStep 4: 32 * 4 = 128\n\nTherefore, the final answer is:\n<answer>\nStep 1: 28 + 4 = 32\nStep 2: 32 - 4 = 28\nStep 3: 28 + 4 = 32\nStep 4: 32 * 4 = 128\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [28, 4], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 28 + 4 = 32\nStep 2: 32 - 4 = 28\nStep 3: 28 + 4 = 32\nStep 4: 32 * 4 = 128" ]

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[{"answer_block": "Step 1: 28 + 4 = 32\nStep 2: 32 - 4 = 28\nStep 3: 28 + 4 = 32\nStep 4: 32 * 4 = 128", "error": "Line uses unavailable numbers: Step 2: 32 - 4 = 28", "final_answer": 28.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 28 + 4 = 32\nStep 2: 32 - 4 = 28\nStep 3: 28 + 4 = 32\nStep 4: 32 * 4 = 128" ] ]

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[{"value": "[{'answer_block': 'Step 1: 28 + 4 = 32\\nStep 2: 32 - 4 = 28\\nStep 3: 28 + 4 = 32\\nStep 4: 32 * 4 = 128', 'error': 'Line uses unavailable numbers: Step 2: 32 - 4 = 28', 'final_answer': 28.0, 'is_correct': False}]"}]

2025-07-26

Find a way to make 858 using all of these numbers: 11, 78. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

11*78

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [11, 78], create an equation that equals 858. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5710, \"numbers\": [11, 78], \"target\": 858, \"expression\": \"11*78\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5710, "numbers": [11, 78], "target": 858, "expression": "11*78"}

null

[ "To solve this problem, we need to find a combination of the given numbers [11, 78] using basic arithmetic operations (+, -, *, /) that results in the target number 858.\n\nStep 1: Let's start with the multiplication operation since it often helps in creating larger numbers quickly.\n\nMultiplication: 78 * 11 = 858\n\nSo, the final answer is:\n\n<answer>\nStep 1: 78 * 11 = 858\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [11, 78], create an equation that equals 858. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ true ]

[ "Step 1: 78 * 11 = 858" ]

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[{"answer_block": "Step 1: 78 * 11 = 858", "error": null, "final_answer": 858.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 78 * 11 = 858" ] ]

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[{"value": "[{'answer_block': 'Step 1: 78 * 11 = 858', 'error': None, 'final_answer': 858.0, 'is_correct': True}]"}]

2025-07-26

Calculate 930 using all of these numbers: 30, 31. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

31*30

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [30, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5930, \"numbers\": [30, 31], \"target\": 930, \"expression\": \"31*30\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5930, "numbers": [30, 31], "target": 930, "expression": "31*30"}

null

[ "To solve this problem, we need to use the numbers 30 and 31 exactly once and apply basic arithmetic operations to get the target number 930. Let's break it down:\n\n1. First, let's try adding 30 and 31 together:\n 30 + 31 = 61\n\n2. Now, we have 61 left to reach our target of 930. We can multiply this sum by some number to get close to 930.\n\n3. To find out what number we should multiply by, we divide 930 by 61:\n 930 ÷ 61 ≈ 15.28\n\nSince we can't use fractions or decimals in this context, we'll round up to the nearest whole number, which is 16.\n\n4. Now, let's multiply 61 by 16:\n 61 * 16 = 976\n\nThis gives us 976, which is very close to our target of 930. However, we're still short by about 46 points (976 - 930).\n\n5. To correct this, we can subtract 46 from 976:\n 976 - 46 = 930\n\nSo, the final equation using all four steps would be:\n\nStep 1: 30 + 31 = 61\nStep 2: 61 * 16 = 976\nStep 3: 976 - 46 = 930\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 30 + 31 = 61\nStep 2: 61 * 16 = 976\nStep 3: 976 - 46 = 930\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [30, 31], create an equation that equals 930. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ "Step 1: 30 + 31 = 61\nStep 2: 61 * 16 = 976\nStep 3: 976 - 46 = 930" ]

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[{"answer_block": "Step 1: 30 + 31 = 61\nStep 2: 61 * 16 = 976\nStep 3: 976 - 46 = 930", "error": "Line uses unavailable numbers: Step 2: 61 * 16 = 976", "final_answer": 976.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 30 + 31 = 61\nStep 2: 61 * 16 = 976\nStep 3: 976 - 46 = 930" ] ]

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[{"value": "[{'answer_block': 'Step 1: 30 + 31 = 61\\nStep 2: 61 * 16 = 976\\nStep 3: 976 - 46 = 930', 'error': 'Line uses unavailable numbers: Step 2: 61 * 16 = 976', 'final_answer': 976.0, 'is_correct': False}]"}]

2025-07-26

Calculate 432 using all of these numbers: 12, 36. Each number may be used at most once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

36*12

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [12, 36], create an equation that equals 432. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5284, \"numbers\": [12, 36], \"target\": 432, \"expression\": \"36*12\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5284, "numbers": [12, 36], "target": 432, "expression": "36*12"}

null

[ "To solve this problem, we need to use the numbers [12, 36] with basic arithmetic operations (+, -, *, /) to get the target number 432. Let's break it down:\n\nStep 1: We start with the number 12.\nStep 2: To reach 432 from 12, we need to multiply it by some number. The closest multiple of 12 that gets us close to 432 is 36 * 12 = 432.\n\nSo, the equation would be:\nStep 1: 12 * 36 = 432\n\nTherefore, the final answer is:\n<answer>\nStep 1: 12 * 36 = 432\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [12, 36], create an equation that equals 432. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ true ]

[ "Step 1: 12 * 36 = 432" ]

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[{"answer_block": "Step 1: 12 * 36 = 432", "error": null, "final_answer": 432.0, "is_correct": true, "method": null, "reason": null}]

[ [ true ] ]

[ [ "Step 1: 12 * 36 = 432" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 12 * 36 = 432", "context": "inside <answer> tags with the final solution", "end_line": 11, "end_pos": 448, "start_line": 11, "start_pos": 426}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 448, "line_range": "11-11", "start_pos": 426}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 12 * 36 = 432', 'error': None, 'final_answer': 432.0, 'is_correct': True}]"}]

2025-07-26

Find a way to make 658 using all of these numbers: 47, 14. Each number can only be used once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

47*14

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [47, 14], create an equation that equals 658. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5581, \"numbers\": [47, 14], \"target\": 658, \"expression\": \"47*14\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5581, "numbers": [47, 14], "target": 658, "expression": "47*14"}

null

[ "To solve this problem, we need to combine the given numbers [47, 14] using basic arithmetic operations (+, -, *, /) so that the result equals 658. Let's break it down:\n\n1. First, let's try adding the two numbers together:\n 47 + 14 = 61\n\n2. Now, we have 61 left to reach our target of 658. We can add another number to get close to 658:\n 61 * 10 = 610\n\n3. Finally, we need to adjust our total to reach exactly 658:\n 658 - 610 = 48\n\nSo, combining all these steps, we get:\n(47 + 14) * (10 - 10) = 658\n\nTherefore, the final answer is:\n<answer>\nStep 1: 47 + 14 = 61\nStep 2: 61 * (10 - 10) = 658\n</answer>" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [47, 14], create an equation that equals 658. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

{"backend": "litellm", "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "n_responses": 1}

[ false ]

[ "Step 1: 47 + 14 = 61\nStep 2: 61 * (10 - 10) = 658" ]

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[{"answer_block": "Step 1: 47 + 14 = 61\nStep 2: 61 * (10 - 10) = 658", "error": "Incorrect arithmetic in line: Step 2: 61 * (10 - 10) = 658", "final_answer": 658.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "Step 1: 47 + 14 = 61\nStep 2: 61 * (10 - 10) = 658" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "Step 1: 47 + 14 = 61\nStep 2: 61 * (10 - 10) = 658", "context": "<answer> ... </answer> block with steps", "end_line": 18, "end_pos": 596, "start_line": 17, "start_pos": 546}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 596, "line_range": "17-18", "start_pos": 546}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': 'Step 1: 47 + 14 = 61\\nStep 2: 61 * (10 - 10) = 658', 'error': 'Incorrect arithmetic in line: Step 2: 61 * (10 - 10) = 658', 'final_answer': 658.0, 'is_correct': False}]"}]

2025-07-26

Using all the numbers 34, 11, create an expression that equals 374. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

34*11

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [34, 11], create an equation that equals 374. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 6611, \"numbers\": [34, 11], \"target\": 374, \"expression\": \"34*11\"}"}

test

null

{"source_dataset": "countdown", "source_index": 6611, "numbers": [34, 11], "target": 374, "expression": "34*11"}

null

[ "To solve this problem, we need to combine the given numbers [34, 11] using basic arithmetic operations (+, -, *, /) so that the result equals 374. Let's break it down:\n\nStep 1: We start with the number 34.\nStep 2: To get closer to 374, we should consider adding or subtracting from 34.\nStep 3: Since 374 - 34 = 340, let's try adding 11 to 340.\nStep 4: Now we have 340 + 11 = 351.\nStep 5: To reach 374, we need to add another 23 (since 374 - 351 = 23).\nStep 6: Therefore, we can achieve our goal by combining these steps: \n 340 + 11 + 11 = 374\n\nFinal Answer: 340 + 11 + 11 = 374" ]

{"api_url": "http://127.0.0.1:50559", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 2048, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/Qwen/Qwen2.5-1.5b-Instruct", "prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system"}, {"content": "Using the numbers [34, 11], create an equation that equals 374. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user"}]}

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[ false ]

[ "340 + 11 + 11 = 374" ]

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[{"answer_block": "340 + 11 + 11 = 374", "error": "Expression does not equal stated result", "final_answer": 374.0, "is_correct": false, "method": null, "reason": null}]

[ [ false ] ]

[ [ "340 + 11 + 11 = 374" ] ]

{"empty_response": false, "extraction_method": "llm_judge", "internal_spans_detailed": [{"answer": "340 + 11 + 11 = 374", "context": "Final Answer: 340 + 11 + 11 = 374", "end_line": 11, "end_pos": 579, "start_line": 11, "start_pos": 546}], "is_final_of_multiple": false, "judge_model": "gpt-4.1-mini", "question_context": true, "span_positions": [{"end_pos": 579, "line_range": "11-11", "start_pos": 546}], "total_internal_spans": 1, "total_spans": 1}

[{"value": "[{'answer_block': '340 + 11 + 11 = 374', 'error': 'Expression does not equal stated result', 'final_answer': 374.0, 'is_correct': False}]"}]

2025-07-26

Using all the numbers 87, 59, create an expression that equals 146. You can only use each number once. Final answer format instructions: 1. Provide your solution as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division. 5. Do not include any other text or formatting. Think step by step.

59 + 87

countdown_2arg

countdown

[ { "content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step X: number1 (+,-,*,/) number2 = result.\nOtherwise, the grader will not be able to parse your answer.\n\nExample:\nthought process here\n<answer>\nStep 1: 1+2=3\nStep 2: 2*3=6\nStep 3: 6*4=24\n</answer>", "role": "system" }, { "content": "Using the numbers [87, 59], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work before you answer. And return the final answer in <answer> </answer> tags, for example:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>.\n\nLet's think step by step", "role": "user" } ]

[]

{"metadata": "{\"source_dataset\": \"countdown\", \"source_index\": 5609, \"numbers\": [87, 59], \"target\": 146, \"expression\": \"59 + 87\"}"}

test

null

{"source_dataset": "countdown", "source_index": 5609, "numbers": [87, 59], "target": 146, "expression": "59 + 87"}

null

[ "To solve this problem, we need to find a combination of the given numbers [87, 59] using basic arithmetic operations (+, -, *, /) that results in the target number 146.\n\nStep 1: Let's start with the larger number, 87, and see if we can get close to 146 without exceeding it.\n - We can try subtracting smaller numbers from 87 to see if we can reach 146.\n\nStep 2: Subtract 59 from 87:\n 87 - 59 = 28\n\nStep 3: Now we have 28 left to reach 146. We can add another number to get closer to our goal.\n - Adding 146 - 28 = 118\n\nStep 4: To get exactly 146, we need to adjust our previous steps slightly.\n - Instead of adding 146 directly, let's consider multiplying or dividing to get closer to 146.\n\nStep 5: Multiply 28 by 5 (since 5 * 59 = 295 which is too high):\n 28 * 5 = 140\n\nStep 6: Add 6 more to reach 146:\n 140 + 6 = 146\n\nTherefore, the final equation is:\n(28 * 5) + 6 = 146\n\n<answer>\nStep 1: 28 * 5 = 140\nStep 2: 140 + 6 = 146\n</answer>" ]

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[ "Step 1: 28 * 5 = 140\nStep 2: 140 + 6 = 146" ]

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[ [ false ] ]

[ [ "Step 1: 28 * 5 = 140\nStep 2: 140 + 6 = 146" ] ]

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2025-07-26