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amc23_43
27.0
https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_1
43
Cities $A$ and $B$ are $45$ miles apart. Alicia lives in $A$ and Beth lives in $B$. Alicia bikes towards $B$ at 18 miles per hour. Leaving at the same time, Beth bikes toward $A$ at 12 miles per hour. How many miles from City $A$ will they be when they meet?
amc23
{ "Llama-3.1-8B-Instruct": { "K": 64, "pass@K": 0.921875 } }
amc23_45
45.0
https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_11
45
What is the degree measure of the acute angle formed by lines with slopes $2$ and $\frac{1}{3}$?
amc23
{ "Llama-3.1-8B-Instruct": { "K": 64, "pass@K": 0.7812500000000001 } }
amc23_73
50.0
https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_2
73
Carlos went to a sports store to buy running shoes. Running shoes were on sale, with prices reduced by $20\%$ on every pair of shoes. Carlos also knew that he had to pay a $7.5\%$ sales tax on the discounted price. He had $$43$ dollars. What is the original (before discount) price of the most expensive shoes he could afford to buy?
amc23
{ "Llama-3.1-8B-Instruct": { "K": 64, "pass@K": 0.7187500000000001 } }
amc23_76
194.0
https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_3
76
A $3-4-5$ right triangle is inscribed in circle $A$, and a $5-12-13$ right triangle is inscribed in circle $B$. Find the ratio of the area of circle $A$ to the area of circle $B$. The final answer can be written in the form $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. What is $m+n$?
amc23
{ "Llama-3.1-8B-Instruct": { "K": 64, "pass@K": 0.53125 } }
amc23_77
1625.0
https://artofproblemsolving.com/wiki/index.php/2023_AMC_12B_Problems/Problem_4
77
Jackson's paintbrush makes a narrow strip with a width of $6.5$ millimeters. Jackson has enough paint to make a strip $25$ meters long. How many square centimeters of paper could Jackson cover with paint?
amc23
{ "Llama-3.1-8B-Instruct": { "K": 64, "pass@K": 0.875 } }
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