data_source stringclasses 1
value | prompt listlengths 1 1 | difficulty stringclasses 8
values | ability stringclasses 1
value | reward_model dict | extra_info dict | responses listlengths 524k 524k | __index_level_0__ int64 15 39.1k |
|---|---|---|---|---|---|---|---|
[{"content":"Given two non-zero vectors $\\overrightarrow {a}$ and $\\overrightarrow {b}$ that satis(...TRUNCATED) | 4/8 | math | {
"ground_truth": "\\frac{\\pi}{4}",
"style": "rule"
} | {
"index": 15,
"split": "train"
} | [166103,13,58634,152363,1919,152402,152350,1125,152361,324,825,298,1151,269,5289,840,4643,288,297,46(...TRUNCATED) | 15 | |
[{"content":"Find the largest integer $ n$ satisfying the following conditions:\r\n(i) $ n^2$ ca(...TRUNCATED) | 2/8 | math | {
"ground_truth": "181",
"style": "rule"
} | {
"index": 105,
"split": "train"
} | [166103,13,2798,322,261,2191,404,10496,2251,152363,297,388,322,2855,298,1795,261,1545,297,3354,3324,(...TRUNCATED) | 105 | |
[{"content":"A dormitory is installing a shower room for 100 students. How many shower heads are eco(...TRUNCATED) | 1/8 | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 115,
"split": "train"
} | [166103,13,58634,152363,1919,152402,152350,1828,298,5212,593,448,1776,1914,415,1914,152361,1768,1523(...TRUNCATED) | 115 | |
[{"content":"Let $ABCD$ be a unit square. For any interior points $M,N$ such that the line $MN$(...TRUNCATED) | 1/8 | math | {
"ground_truth": "1/8",
"style": "rule"
} | {
"index": 152,
"split": "train"
} | [166103,13,2359,825,298,1151,269,10378,1769,4112,10378,1853,152470,26037,152382,471,13970,269,2177,1(...TRUNCATED) | 152 | |
[{"content":"Let \\( k>1 \\) be a real number. Calculate:\n\n(a) \\( L = \\lim _{n \\rightarrow \\in(...TRUNCATED) | 1/8 | math | {
"ground_truth": "\\frac{k}{(k-1)^2}",
"style": "rule"
} | {
"index": 183,
"split": "train"
} | [166103,13,2798,322,261,2191,404,10496,2251,152363,297,388,322,2855,298,1795,261,1545,297,3354,3324,(...TRUNCATED) | 183 | |
[{"content":"Calculate $(-2)^{23} + 2^{(2^4+5^2-7^2)}$. Let's think step by step and output the fina(...TRUNCATED) | 1/8 | math | {
"ground_truth": "-8388607.99609375",
"style": "rule"
} | {
"index": 233,
"split": "train"
} | [166103,13,58634,152363,1919,152402,152350,1125,152361,324,825,298,7784,1026,4098,152375,12189,15237(...TRUNCATED) | 233 | |
[{"content":"A $44$-gon $Q_1$ is constructed in the Cartesian plane, and the sum of the squares of t(...TRUNCATED) | 1/8 | math | {
"ground_truth": "44",
"style": "rule"
} | {
"index": 373,
"split": "train"
} | [166103,13,2798,322,261,2191,404,10496,2251,152363,297,388,322,2855,298,1795,261,1545,297,3354,3324,(...TRUNCATED) | 373 | |
[{"content":"Use the five digits $0$, $1$, $2$, $3$, $4$ to form integers that satisfy the following(...TRUNCATED) | 7/8 | math | {
"ground_truth": "66",
"style": "rule"
} | {
"index": 381,
"split": "train"
} | [166103,13,2798,322,261,2191,404,10496,2251,152363,297,388,322,2855,298,1795,261,1545,297,3354,3324,(...TRUNCATED) | 381 | |
[{"content":"If $S$ is the set of points $z$ in the complex plane such that $(3+4i)z$ is a real numb(...TRUNCATED) | 1/8 | math | {
"ground_truth": "\\textbf{(D)}\\",
"style": "rule"
} | {
"index": 420,
"split": "train"
} | [166103,13,58634,152363,1919,152402,152350,1828,298,5212,593,448,1776,152361,363,2251,322,152382,110(...TRUNCATED) | 420 | |
[{"content":"Let $A B C$ be a triangle such that $A B=13, B C=14, C A=15$ and let $E, F$ be the feet(...TRUNCATED) | 1/8 | math | {
"ground_truth": "\\frac{462}{5}",
"style": "rule"
} | {
"index": 422,
"split": "train"
} | [166103,13,2798,322,261,2191,404,10496,2251,152363,297,388,322,2855,298,1795,261,1545,297,3354,3324,(...TRUNCATED) | 422 |
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