source stringclasses 10 values | domain listlengths 1 3 | llama8b_solve_rate float64 0 0.09 ⌀ | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|
big_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given real numbers $a > 0$ and $b > 0$, if ... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 24300,
"question": "Given real numbers $a > 0$ and $b > 0$, if $2a + b = 1$, find the minimum value of $\\frac {1}{a} + \\frac {2}{b}$. Express your answer as a single numerical value.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Algebraic Expressions",
"Mathematics -> Combinatorics -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given that in the expansion of \\\\((x+ \\f... | math | {
"ground_truth": "729",
"style": "rule"
} | {
"answer": "729",
"index": 24301,
"question": "Given that in the expansion of \\\\((x+ \\frac {2}{x})^{n}\\\\), only the coefficient of the fourth term is the largest, then the sum of the coefficients of the terms in the expansion equals \\_\\_\\_\\_\\_\\_.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n If the sum of the first $n$ terms of a geom... | math | {
"ground_truth": "-2",
"style": "rule"
} | {
"answer": "-2",
"index": 24302,
"question": "If the sum of the first $n$ terms of a geometric sequence $\\{ a\\_n \\}$ is $S\\_n=2\\times3^{n}+r$, then $r=$____.",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A collection of positive odd numbers \\(\\{... | math | {
"ground_truth": "32",
"style": "rule"
} | {
"answer": "32",
"index": 24303,
"question": "A collection of positive odd numbers \\(\\{1, 3, 5, \\cdots\\}\\) is grouped in ascending order such that the \\(n\\)-th group has \\((2n-1)\\) odd numbers:\n\\(\\{1\\}\\),\n\\(\\{3, 5, 7\\}\\),\n\\(\\{9, 11, 13, 15, 17\\}, \\cdots\\)\n\n(First group)\n(Second group)\n(Third group)\n\nDetermine in which group 1991 is located.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Four trainee teachers, A, B, C, and D, are ... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 24304,
"question": "Four trainee teachers, A, B, C, and D, are to be assigned to three different classes with each class receiving at least one teacher. However, Teachers A and B cannot be assigned to the same class. Find the number of different possible assignment arrangements.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given a sequence {a<sub>n</sub>} where the ... | math | {
"ground_truth": "63",
"style": "rule"
} | {
"answer": "63",
"index": 24305,
"question": "Given a sequence {a<sub>n</sub>} where the sum of its first n terms is S<sub>n</sub>, and a<sub>n+1</sub>+a<sub>n</sub>=2n+1, with S<sub>n</sub>=2019. If a<sub>2</sub><2, find the maximum value of n.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are 200 marbles in a box which has a ... | math | {
"ground_truth": "153",
"style": "rule"
} | {
"answer": "153",
"index": 24306,
"question": "There are 200 marbles in a box which has a mixture of white, red, blue, green, and yellow marbles. There were originally 50 white marbles, 40 red marbles and an equal number of blue and green marbles, with the remaining marbles being yellow. \n\nFirst, Jack exchanges 25% of the red marbles with blue marbles. Then, he redistributes 1/5 of the green marbles equally among the white and red marble groups. \n\nNext, he swaps 5 white marbles with 5 yellow marbles and increases the number of red marbles by 1.5 times the number of swapped white marbles.\n\nFinally, Jack removes a number of marbles equal to triple the difference between the number of white marbles and the number of blue marbles, plus half the number of yellow marbles. \n\nHow many marbles are left in the box?",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Equations and Inequalities -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given that the distinct roots of the equati... | math | {
"ground_truth": "1000",
"style": "rule"
} | {
"answer": "1000",
"index": 24307,
"question": "Given that the distinct roots of the equation $ax^2+bx-2008=0$ are both prime numbers, and $a$ and $b$ are integers, calculate the value of $3a+b$. Express your answer as a single integer.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The carousel at the fair has 3 blue horses,... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 24308,
"question": "The carousel at the fair has 3 blue horses, some purple horses, twice as many green horses as purple horses, and 1/6th as many gold horses as green horses. There are 33 horses total. What is the ratio of purple horses to blue horses?",
"split": "train"
} |
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