Datasets:
question stringlengths 12 86 | problem stringclasses 10 values | how_to_solve stringlengths 13 82 | answer stringlengths 1 7 |
|---|---|---|---|
What is -16 ÷ -8? | Divide evenly. | Divide -16 by -8. | 2 |
If each item costs 14 dollars and the total cost is 238, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
What is -27 ÷ -9? | Divide evenly. | Divide -27 by -9. | 3 |
Solve: -4x + 15 < 51 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -9 |
Solve: -7x + 5 ≤ -72 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 11 |
Simplify 180/15 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | 12 |
Solve for x: -4(x + 9) = -28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
If each item costs 16 dollars and the total cost is 320, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
What is -21 × 22? | Multiply the numbers. | Multiply -21 by 22. | -462 |
What is 5^4? | Evaluate the integer exponent. | Multiply 5 by itself 4 times (0th power = 1). | 625 |
What is 183 + -161? | Add the two numbers. | Add 183 and -161. | 22 |
Solve for x: 7(x + -4) = -28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
What is -106 - -205? | Subtract the second number from the first. | Subtract -205 from -106. | 99 |
Solve for x: 1(x + -2) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
What is -105 ÷ -15? | Divide evenly. | Divide -105 by -15. | 7 |
What is -47 × -33? | Multiply the numbers. | Multiply -47 by -33. | 1551 |
Simplify 1/1 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | 1 |
What is 18 × -24? | Multiply the numbers. | Multiply 18 by -24. | -432 |
If each item costs 19 dollars and the total cost is -57, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
Solve for x: 9x + 30 = 111 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
What is 40 × 3? | Multiply the numbers. | Multiply 40 by 3. | 120 |
What is -21 × -15? | Multiply the numbers. | Multiply -21 by -15. | 315 |
Solve for x: 8(x + -3) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
If each item costs 8 dollars and the total cost is 136, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
Solve: 1x + -16 < -5 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 11 |
If each item costs 6 dollars and the total cost is -12, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
If each item costs 11 dollars and the total cost is -55, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -5 |
What is 120 ÷ 24? | Divide evenly. | Divide 120 by 24. | 5 |
What is 399 ÷ -21? | Divide evenly. | Divide 399 by -21. | -19 |
What is 19 - -22? | Subtract the second number from the first. | Subtract -22 from 19. | 41 |
What is -5^2? | Evaluate the integer exponent. | Multiply -5 by itself 2 times (0th power = 1). | 25 |
If each item costs 11 dollars and the total cost is 176, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 16 |
What is 7^5? | Evaluate the integer exponent. | Multiply 7 by itself 5 times (0th power = 1). | 16807 |
What is 289 - -36? | Subtract the second number from the first. | Subtract -36 from 289. | 325 |
Solve for x: 8x + -7 = 1 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
If each item costs -8 dollars and the total cost is -40, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
Solve for x: 8x + 27 = -117 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
What is 6^2? | Evaluate the integer exponent. | Multiply 6 by itself 2 times (0th power = 1). | 36 |
What is 220 - -12? | Subtract the second number from the first. | Subtract -12 from 220. | 232 |
What is -155 - 89? | Subtract the second number from the first. | Subtract 89 from -155. | -244 |
Solve for x: -2x + 24 = 62 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
What is 234 ÷ 13? | Divide evenly. | Divide 234 by 13. | 18 |
What is -336 ÷ 28? | Divide evenly. | Divide -336 by 28. | -12 |
What is 4^4? | Evaluate the integer exponent. | Multiply 4 by itself 4 times (0th power = 1). | 256 |
What is -2^5? | Evaluate the integer exponent. | Multiply -2 by itself 5 times (0th power = 1). | -32 |
What is 33 + 165? | Add the two numbers. | Add 33 and 165. | 198 |
What is -45 × 5? | Multiply the numbers. | Multiply -45 by 5. | -225 |
Simplify -18/9 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | -2 |
What is 90 ÷ -6? | Divide evenly. | Divide 90 by -6. | -15 |
Simplify 6/3 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | 2 |
Solve for x: 7x + -16 = 96 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
If each item costs 1 dollars and the total cost is -3, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
What is -39 × -3? | Multiply the numbers. | Multiply -39 by -3. | 117 |
If each item costs -7 dollars and the total cost is -210, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
Solve: 2x + 0 ≤ -40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -20 |
What is -7^0? | Evaluate the integer exponent. | Multiply -7 by itself 0 times (0th power = 1). | 1 |
Simplify -80/16 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | -5 |
What is -157 + 276? | Add the two numbers. | Add -157 and 276. | 119 |
Simplify -60/5 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | -12 |
Solve for x: 6(x + 5) = 78 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
What is 36 ÷ -9? | Divide evenly. | Divide 36 by -9. | -4 |
What is 292 + 163? | Add the two numbers. | Add 292 and 163. | 455 |
Simplify 60/5 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | 12 |
Solve: 5x + -15 > -65 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -10 |
Solve: -5x + 6 > -69 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 15 |
What is -280 - 281? | Subtract the second number from the first. | Subtract 281 from -280. | -561 |
Simplify -105/15 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | -7 |
Solve for x: 2(x + -14) = 2 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
What is 7^5? | Evaluate the integer exponent. | Multiply 7 by itself 5 times (0th power = 1). | 16807 |
Solve for x: 5x + 16 = 86 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
What is 125 - 219? | Subtract the second number from the first. | Subtract 219 from 125. | -94 |
What is 59 × -59? | Multiply the numbers. | Multiply 59 by -59. | -3481 |
Solve for x: -7x + 23 = 72 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -7 |
Solve: -6x + 9 ≥ 99 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -15 |
What is -45 ÷ -5? | Divide evenly. | Divide -45 by -5. | 9 |
Solve for x: 10x + 0 = -100 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve: -2x + -8 ≥ -44 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 18 |
Solve: 6x + -10 ≤ 80 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 15 |
What is -1 × -16? | Multiply the numbers. | Multiply -1 by -16. | 16 |
Solve: -2x + -19 ≥ 11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -15 |
Solve for x: -7(x + 8) = -133 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve for x: -8(x + 11) = -104 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
If each item costs 1 dollars and the total cost is 20, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
What is 5 ÷ -5? | Divide evenly. | Divide 5 by -5. | -1 |
What is -7^2? | Evaluate the integer exponent. | Multiply -7 by itself 2 times (0th power = 1). | 49 |
If each item costs -2 dollars and the total cost is -40, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Solve: 5x + 1 > 76 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 15 |
Solve for x: 4x + 11 = -61 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
What is -14 ÷ -7? | Divide evenly. | Divide -14 by -7. | 2 |
Simplify -64/8 | Reduce the fraction to simplest form. | Divide numerator and denominator by their GCD and normalize sign. | -8 |
What is 47 × 7? | Multiply the numbers. | Multiply 47 by 7. | 329 |
What is 191 - -211? | Subtract the second number from the first. | Subtract -211 from 191. | 402 |
What is 261 + -109? | Add the two numbers. | Add 261 and -109. | 152 |
What is 59 × 46? | Multiply the numbers. | Multiply 59 by 46. | 2714 |
Solve: 9x + -3 < -120 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -13 |
What is -128 ÷ -8? | Divide evenly. | Divide -128 by -8. | 16 |
What is 6^2? | Evaluate the integer exponent. | Multiply 6 by itself 2 times (0th power = 1). | 36 |
If each item costs 18 dollars and the total cost is 540, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
What is -64 ÷ -8? | Divide evenly. | Divide -64 by -8. | 8 |
Solve: 2x + 12 ≤ 0 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -6 |
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Large-Scale Mathematic Reasoning-25000
Built via a python script
Contents
- Addition
- Subtraction
- Multiplication
- Division
- Linear equations
- Fractional equations
- Two step equations
- Algebra word problems Synthetic algebra-heavy math reasoning dataset.
Each row:
- question
- problem
- how_to_solve
- answer
Useage
Licensed under MIT Free to use for everyone ##Notes It is
- Better to use smaller variants of this dataset for finetuning
- Better to use very small variants of this dataset for evaluation
- Better to use large variants of this dataset for pre-training
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