problem stringlengths 4.66k 32.5k | answer stringlengths 1 26 | tokenized_prompt stringlengths 4.71k 32.6k | 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 |
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"You are an expert in solving math problems. You are given a math problem and a solution prefix for (...TRUNCATED) | 6 | "<|im_start|>user\nYou are an expert in solving math problems. You are given a math problem and a so(...TRUNCATED) | ["## 1. ANALYSIS & STRATEGY\n\nWe are given a self-referential logic puzzle involving **11 students*(...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 an expert in solving math problems. You are given a math problem and a solution prefix for (...TRUNCATED) | n! | "<|im_start|>user\nYou are an expert in solving math problems. You are given a math problem and a so(...TRUNCATED) | ["## 1. ANALYSIS & STRATEGY\n\nWe are given a combinatorics problem from the 43rd IMO Shortlist 2002(...TRUNCATED) | [0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0(...TRUNCATED) | 1 | 0.9375 | 0.9375 | 0.997984 | 1 | 1 | 1 | 1 |
"You are an expert in solving math problems. You are given a math problem and a solution prefix for (...TRUNCATED) | 3426576 | "<|im_start|>user\nYou are an expert in solving math problems. You are given a math problem and a so(...TRUNCATED) | ["## 1. ANALYSIS & STRATEGY\n\n### Step 1: Understand the Problem\nWe are asked to find the number o(...TRUNCATED) | [1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,1.0,1.0,0.0,1.0,0.0,0.0(...TRUNCATED) | 1 | 0.3125 | 0.3125 | 0.534274 | 0.79658 | 0.969599 | 0.999876 | 1 |
"You are an expert in solving math problems. You are given a math problem and a solution prefix for (...TRUNCATED) | 1012 | "<|im_start|>user\nYou are an expert in solving math problems. You are given a math problem and a so(...TRUNCATED) | ["## 1. ANALYSIS & STRATEGY\n\nWe are given a recurrence relation for an infinite sequence of intege(...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 an expert in solving math problems. You are given a math problem and a solution prefix for (...TRUNCATED) | 103 | "<|im_start|>user\nYou are an expert in solving math problems. You are given a math problem and a so(...TRUNCATED) | ["## 1. ANALYSIS & STRATEGY\n\nWe are given a problem involving four consecutive natural numbers $ N(...TRUNCATED) | [0.0,0.0,1.0,0.0,1.0,0.0,0.0,0.0,1.0,0.0,0.0,1.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0(...TRUNCATED) | 1 | 0.28125 | 0.28125 | 0.489919 | 0.753754 | 0.953385 | 0.999592 | 1 |
"You are an expert in solving math problems. You are given a math problem and a solution prefix for (...TRUNCATED) | 51 | "<|im_start|>user\nYou are an expert in solving math problems. You are given a math problem and a so(...TRUNCATED) | ["We are continuing the solution from the prefix and need to complete the counting of valid ordering(...TRUNCATED) | [1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | 1 | 0.96875 | 0.96875 | 1 | 1 | 1 | 1 | 1 |
"You are an expert in solving math problems. You are given a math problem and a solution prefix for (...TRUNCATED) | 4\sqrt{3}-6 | "<|im_start|>user\nYou are an expert in solving math problems. You are given a math problem and a so(...TRUNCATED) | ["## 1. ANALYSIS & STRATEGY\n\nWe are given a geometric problem involving cutting corners of an equi(...TRUNCATED) | [1.0,0.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,0.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,1.0,1.0,1.0,0.0,1.0(...TRUNCATED) | 1 | 0.625 | 0.625 | 0.866935 | 0.986235 | 0.999953 | 1 | 1 |
"You are an expert in solving math problems. You are given a math problem and a solution prefix for (...TRUNCATED) | f(n)=n^k | "<|im_start|>user\nYou are an expert in solving math problems. You are given a math problem and a so(...TRUNCATED) | ["### **1. ANALYSIS & STRATEGY**\n\nWe are given a function $ f: \\mathbb{N} \\to \\mathbb{N} $ sati(...TRUNCATED) | [1.0,1.0,1.0,1.0,0.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED) | 1 | 0.90625 | 0.90625 | 0.993952 | 1 | 1 | 1 | 1 |
"You are an expert in solving math problems. You are given a math problem and a solution prefix for (...TRUNCATED) | -\frac{1}{e^2} | "<|im_start|>user\nYou are an expert in solving math problems. You are given a math problem and a so(...TRUNCATED) | ["# **Solution to the Problem**\n\nWe are given the function:\n\n$$\nf(x) = -\\frac{\\ln x}{x} + e^{(...TRUNCATED) | [1.0,1.0,1.0,0.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,0.0,1.0,1.0,1.0,1.0(...TRUNCATED) | 1 | 0.75 | 0.75 | 0.943548 | 0.998053 | 1 | 1 | 1 |
"You are an expert in solving math problems. You are given a math problem and a solution prefix for (...TRUNCATED) | 45 | "<|im_start|>user\nYou are an expert in solving math problems. You are given a math problem and a so(...TRUNCATED) | ["### ✅ Final Solution: Area of the Section\n\nWe are given a **regular quadrilateral pyramid** wi(...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 |
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