problem
stringlengths 747
15.1k
| answer
stringclasses 363
values | original_problem
stringclasses 440
values | tokenized_prompt
stringlengths 797
15.1k
| responses
listlengths 32
32
| rewards
listlengths 32
32
| mean_reward
float64 0
1
|
|---|---|---|---|---|---|---|
"You are given a problem and a partial solution.\n\nYour task is to carefully study the partial resp(...TRUNCATED)
|
\frac{2}{3}
| "Let $ ABP, BCQ, CAR$ be three non-overlapping triangles erected outside of acute triangle $ ABC$. L(...TRUNCATED)
| "<|im_start|>user\nYou are given a problem and a partial solution.\n\nYour task is to carefully stud(...TRUNCATED)
| ["We continue solving the problem from where the partial response left off.\n\n---\n\n**Step 1: Set (...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0.125
|
"You are given a problem and a partial solution.\n\nYour task is to carefully study the partial resp(...TRUNCATED)
|
\frac{2}{3}
| "Let $ ABP, BCQ, CAR$ be three non-overlapping triangles erected outside of acute triangle $ ABC$. L(...TRUNCATED)
| "<|im_start|>user\nYou are given a problem and a partial solution.\n\nYour task is to carefully stud(...TRUNCATED)
| ["We continue solving the problem from where the partial response left off.\n\n---\n\n### Step 1: Co(...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
|
"You are given a problem and a partial solution.\n\nYour task is to carefully study the partial resp(...TRUNCATED)
|
\frac{2}{3}
| "Let $ ABP, BCQ, CAR$ be three non-overlapping triangles erected outside of acute triangle $ ABC$. L(...TRUNCATED)
| "<|im_start|>user\nYou are given a problem and a partial solution.\n\nYour task is to carefully stud(...TRUNCATED)
| ["We continue solving the problem from where the partial response left off.\n\n---\n\n### Step 1: Se(...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0.0625
|
"You are given a problem and a partial solution.\n\nYour task is to carefully study the partial resp(...TRUNCATED)
|
\frac{2}{3}
| "Let $ ABP, BCQ, CAR$ be three non-overlapping triangles erected outside of acute triangle $ ABC$. L(...TRUNCATED)
| "<|im_start|>user\nYou are given a problem and a partial solution.\n\nYour task is to carefully stud(...TRUNCATED)
| ["We continue solving the problem from where the partial response left off.\n\n---\n\n### Step 1: De(...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0.0625
|
"You are given a problem and a partial solution.\n\nYour task is to carefully study the partial resp(...TRUNCATED)
|
\frac{2}{3}
| "Let $ ABP, BCQ, CAR$ be three non-overlapping triangles erected outside of acute triangle $ ABC$. L(...TRUNCATED)
| "<|im_start|>user\nYou are given a problem and a partial solution.\n\nYour task is to carefully stud(...TRUNCATED)
| ["We continue solving the problem from where the partial response left off.\n\n---\n\n### Step 1: Su(...TRUNCATED)
| [0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,1.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0.15625
|
"You are given a problem and a partial solution.\n\nYour task is to carefully study the partial resp(...TRUNCATED)
|
\frac{2}{3}
| "Let $ ABP, BCQ, CAR$ be three non-overlapping triangles erected outside of acute triangle $ ABC$. L(...TRUNCATED)
| "<|im_start|>user\nYou are given a problem and a partial solution.\n\nYour task is to carefully stud(...TRUNCATED)
| ["We continue solving the problem from where the partial response left off.\n\n---\n\n### Step 1: Su(...TRUNCATED)
| [1.0,0.0,0.0,1.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,1.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,1.0(...TRUNCATED)
| 0.3125
|
"You are given a problem and a partial solution.\n\nYour task is to carefully study the partial resp(...TRUNCATED)
|
\frac{2}{3}
| "Let $ ABP, BCQ, CAR$ be three non-overlapping triangles erected outside of acute triangle $ ABC$. L(...TRUNCATED)
| "<|im_start|>user\nYou are given a problem and a partial solution.\n\nYour task is to carefully stud(...TRUNCATED)
| ["We continue solving the problem from where the partial response left off.\n\n---\n\n### Step 1: Re(...TRUNCATED)
| [0.0,0.0,0.0,0.0,0.0,1.0,1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED)
| 0.21875
|
"You are given a problem and a partial solution.\n\nYour task is to carefully study the partial resp(...TRUNCATED)
|
\frac{2}{3}
| "Let $ ABP, BCQ, CAR$ be three non-overlapping triangles erected outside of acute triangle $ ABC$. L(...TRUNCATED)
| "<|im_start|>user\nYou are given a problem and a partial solution.\n\nYour task is to carefully stud(...TRUNCATED)
| ["We are to compute $ \\frac{AC^2}{AR^2} $, given a configuration of triangles erected externally on(...TRUNCATED)
| [1.0,1.0,0.0,0.0,0.0,1.0,0.0,1.0,1.0,0.0,0.0,1.0,0.0,1.0,0.0,1.0,1.0,0.0,0.0,1.0,1.0,1.0,1.0,1.0,0.0(...TRUNCATED)
| 0.5
|
"You are given a problem and a partial solution.\n\nYour task is to carefully study the partial resp(...TRUNCATED)
|
\frac{2}{3}
| "Let $ ABP, BCQ, CAR$ be three non-overlapping triangles erected outside of acute triangle $ ABC$. L(...TRUNCATED)
| "<|im_start|>user\nYou are given a problem and a partial solution.\n\nYour task is to carefully stud(...TRUNCATED)
| ["We continue solving the problem from where the partial response left off.\n\nWe have established t(...TRUNCATED)
| [1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,0.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0(...TRUNCATED)
| 0.84375
|
"You are given a problem and a partial solution.\n\nYour task is to carefully study the partial resp(...TRUNCATED)
|
\frac{2}{3}
| "Let $ ABP, BCQ, CAR$ be three non-overlapping triangles erected outside of acute triangle $ ABC$. L(...TRUNCATED)
| "<|im_start|>user\nYou are given a problem and a partial solution.\n\nYour task is to carefully stud(...TRUNCATED)
| ["We continue solving from where the partial response left off.\n\n---\n\n### Step 1: Compute the va(...TRUNCATED)
| [1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0,0.0,1.0,1.0,1.0,1.0,1.0,1.0,1.0(...TRUNCATED)
| 0.90625
|
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