problem stringlengths 901 26.2k | answer stringlengths 1 26 | tokenized_prompt stringlengths 951 26.2k | responses listlengths 32 32 | rewards listlengths 32 32 | max_reward float64 0 1 | mean_reward float64 0 1 | pass@1 float64 0 1 | pass@2 float64 0 1 | pass@4 float64 0 1 | pass@8 float64 0 1 | pass@16 float64 0 1 | pass@32 float64 0 1 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
"You are given a math problem and have taken some reasoning steps to solve the problem so far.\nYour(...TRUNCATED) | 6 | "<|im_start|>user\nYou are given a math problem and have taken some reasoning steps to solve the pro(...TRUNCATED) | ["We continue from where we left off.\n\n---\n\n### Step 6 (continued): Analysis of $ t = 10 $\n\nWe(...TRUNCATED) | [1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
"You are given a math problem and have taken some reasoning steps to solve the problem so far.\nYour(...TRUNCATED) | n! | "<|im_start|>user\nYou are given a math problem and have taken some reasoning steps to solve the pro(...TRUNCATED) | ["We are continuing from the previous partial solution.\n\n---\n\n### Step 3: Key Insight — Struct(...TRUNCATED) | [1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | 1 | 0.8125 | 0.8125 | 0.969758 | 0.999583 | 1 | 1 | 1 |
"You are given a math problem and have taken some reasoning steps to solve the problem so far.\nYour(...TRUNCATED) | 3426576 | "<|im_start|>user\nYou are given a math problem and have taken some reasoning steps to solve the pro(...TRUNCATED) | ["We are asked to find the number of **distinct 15-ominoes**, where two shapes are considered equiva(...TRUNCATED) | [1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,1.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED) | 1 | 0.28125 | 0.28125 | 0.489919 | 0.753754 | 0.953385 | 0.999592 | 1 |
"You are given a math problem and have taken some reasoning steps to solve the problem so far.\nYour(...TRUNCATED) | 1012 | "<|im_start|>user\nYou are given a math problem and have taken some reasoning steps to solve the pro(...TRUNCATED) | ["After thorough exploration of smaller values and analysis of the recurrence behavior, we find that(...TRUNCATED) | [1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
"You are given a math problem and have taken some reasoning steps to solve the problem so far.\nYour(...TRUNCATED) | 103 | "<|im_start|>user\nYou are given a math problem and have taken some reasoning steps to solve the pro(...TRUNCATED) | ["We observe that in multiple cases, the value of $ s(N+1) + s(N+2) $ can vary, but **some values re(...TRUNCATED) | [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED) | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
"You are given a math problem and have taken some reasoning steps to solve the problem so far.\nYour(...TRUNCATED) | 51 | "<|im_start|>user\nYou are given a math problem and have taken some reasoning steps to solve the pro(...TRUNCATED) | ["Yes — Leilei likes D7 (Garlic Monteng), and Feifei **does not** like D7 (Feifei has × in Garlic(...TRUNCATED) | [1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
"You are given a math problem and have taken some reasoning steps to solve the problem so far.\nYour(...TRUNCATED) | 4\sqrt{3}-6 | "<|im_start|>user\nYou are given a math problem and have taken some reasoning steps to solve the pro(...TRUNCATED) | ["You're absolutely right — we need to resolve the contradiction in the side lengths and properly (...TRUNCATED) | [0.0,0.0,0.0,1.0,0.0,1.0,0.0,0.0,1.0,1.0,0.0,0.0,1.0,1.0,0.0,0.0,1.0,1.0,0.0,0.0,1.0,0.0,1.0,1.0,0.0(...TRUNCATED) | 1 | 0.4375 | 0.4375 | 0.691532 | 0.914905 | 0.99584 | 1 | 1 |
"You are given a math problem and have taken some reasoning steps to solve the problem so far.\nYour(...TRUNCATED) | f(n)=n^k | "<|im_start|>user\nYou are given a math problem and have taken some reasoning steps to solve the pro(...TRUNCATED) | ["We are continuing from the previous partial solution.\n\n---\n\nWe have established the following:(...TRUNCATED) | [0.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,0.0,0.0,1.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,0.0,1.0,1.0,0.0(...TRUNCATED) | 1 | 0.53125 | 0.53125 | 0.788306 | 0.962041 | 0.999388 | 1 | 1 |
"You are given a math problem and have taken some reasoning steps to solve the problem so far.\nYour(...TRUNCATED) | -\frac{1}{e^2} | "<|im_start|>user\nYou are given a math problem and have taken some reasoning steps to solve the pro(...TRUNCATED) | ["We have derived that for $ z \\ne -2 $, the value of $ a $ is given by:\n\n$$\na = (z+1)e^z\n$$\n\(...TRUNCATED) | [1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,0.0(...TRUNCATED) | 1 | 0.8125 | 0.8125 | 0.969758 | 0.999583 | 1 | 1 | 1 |
"You are given a math problem and have taken some reasoning steps to solve the problem so far.\nYour(...TRUNCATED) | 45 | "<|im_start|>user\nYou are given a math problem and have taken some reasoning steps to solve the pro(...TRUNCATED) | ["Yes! Since the two parallel sides are both horizontal (parallel to $x$-axis), the perpendicular di(...TRUNCATED) | [1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | 1 | 0.96875 | 0.96875 | 1 | 1 | 1 | 1 | 1 |
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