data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nFour congruent rectangles are placed as shown. The area of the outer square is $4$ times that of the inner square. Wha... | MATH | {
"ground_truth": "3",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "5f49f482-8631-4779-93a9-b0c5b75e9b04"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nSegment $BD$ and $AE$ intersect at $C$, as shown, $AB=BC=CD=CE$, and $\\angle A = \\frac{5}{2} \\angle B$. What is the... | MATH | {
"ground_truth": "525",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "7c8d4e31-d666-4f18-8b34-f2e552f76394"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nConstruct a square on one side of an equilateral triangle. On one non-adjacent side of the square, construct a regular... | MATH | {
"ground_truth": "23",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "20418df8-4327-4655-9889-2a75ce80982d"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nA flagpole is originally $5$ meters tall. A hurricane snaps the flagpole at a point $x$ meters above the ground so tha... | MATH | {
"ground_truth": "24",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "93aa1622-17ee-4a06-a137-f32def860688"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nA particular $12$-hour digital clock displays the hour and minute of a day. Unfortunately, whenever it is supposed to ... | MATH | {
"ground_truth": "3",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "a3c80582-a2c0-40c0-a056-c28f3c1d7b8a"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nOn a checkerboard composed of \\(64\\) unit squares, find the probability that a randomly chosen unit square does not ... | MATH | {
"ground_truth": "25",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "29ecdcb8-b992-47fe-a87f-3e7e996fd1bc"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nHow many $7$-digit palindromes (numbers that read the same backward as forward) can be formed using the digits $2$, $2... | MATH | {
"ground_truth": "6",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "e6f9178c-5e64-4465-9209-513859bd7847"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nThe figures $F_1$, $F_2$, $F_3$, and $F_4$ shown are the first in a sequence of figures. For $n\\ge3$, $F_n$ is constr... | MATH | {
"ground_truth": "761",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "5b44d5a8-8c6b-4659-824e-a0d7dcda4bd2"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nThe Amaco Middle School bookstore sells pencils costing a whole number of cents. Some seventh graders each bought a pe... | MATH | {
"ground_truth": "4",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "b8e5c93b-7ab5-4359-911f-ada4923b8694"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nDistinct points $A$, $B$, $C$, and $D$ lie on a line, with $AB=BC=CD=1$. Points $E$ and $F$ lie on a second line, para... | MATH | {
"ground_truth": "3",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "2d09a3c4-d24e-4df9-ada3-7698de687ef9"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nOn Monday, Millie puts a quart of seeds, $25\\%$ of which are millet, into a bird feeder. On each successive day she a... | MATH | {
"ground_truth": "5",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "05d11cf3-c971-4918-8ae6-9b94304a55d9"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nFive unit squares are arranged in the coordinate plane as shown, with the lower left corner at the origin. The slanted... | MATH | {
"ground_truth": "5",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "78092e15-8b60-41b1-a6ae-9f5d6d7b95cc"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nFor what value of $n$ is $i + 2i^2 + 3i^3 + \\cdots + ni^n = 48 + 49i$? Find the value of $n$.\n\nRemember to put your... | MATH | {
"ground_truth": "97",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "e6c453c8-d43f-4765-b397-9a792fcc3539"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nA recipe that makes $5$ servings of hot chocolate requires $2$ squares of chocolate, $\\frac{1}{4}$ cup sugar, $1$ cup... | MATH | {
"ground_truth": "39",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "58fd88a6-84bc-42c7-8853-9ec6989e9d1d"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nLet $a$, $b$, $c$, and $d$ be real numbers with $|a-b|=2$, $|b-c|=3$, and $|c-d|=4$. Find the sum of all possible valu... | MATH | {
"ground_truth": "18",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "0941b6a5-3b1e-4b37-8c97-ac525d0d27d7"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nPoints \\(A\\) and \\(C\\) lie on a circle centered at \\(O\\), each of \\(\\overline{BA}\\) and \\(\\overline{BC}\\) ... | MATH | {
"ground_truth": "3",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "43c7be7e-1897-43aa-a374-cf1d30782120"
} |
math_dapo | [
{
"content": "Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\n\nTrapezoid \\(ABCD\\) has \\(AD \\parallel BC\\), \\(BD = 1\\), \\(\\angle DBA = 23^\\circ\\), and \\(\\angle BDC = 46^... | MATH | {
"ground_truth": "9",
"style": "rule-lighteval/MATH_v2"
} | {
"index": "8d1580d2-3fdf-4773-98b5-a9a8d43d4206"
} |
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