idx int64 0 218 | prompt stringlengths 1.24k 11.8k | answers sequencelengths 32 32 | gt stringlengths 1 119 | true_reward bool 1
class |
|---|---|---|---|---|
218 | <|im_start|>system
You are a mathematical reasoning assistant. For each problem, follow these steps strictly:
1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}.
Always ensure clarity, correctness, and adherence to the required format.<|im_end|>
<|im_start|>user
Create a qua... | [
"To correct the mistake, let's re-evaluate the system of equations. From the incorrect function value at $x = 3$, we find the correct function value:\n\n1. Correct function value at $x = 3$:\n - The correct value should be $8$. Thus, substituting $x = 3$:\n \\[\n 8 = \\frac{4}{3}(3)^2 - 8(3) + c\n \\]... | -2x^2 + 12x - 10 | false |
169 | <|im_start|>system
You are a mathematical reasoning assistant. For each problem, follow these steps strictly:
1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}.
Always ensure clarity, correctness, and adherence to the required format.<|im_end|>
<|im_start|>user
Distribute s... | [
"To ensure accuracy, let's revisit the problem and correct the reasoning.\n\n### Problem Restatement:\nDistribute six movie tickets, numbered 1 to 6, among four people: A, B, C, and D. Each person gets at most two tickets, and the tickets must be consecutive numbers, ensuring that each person gets at least one. Det... | 144 | false |
208 | <|im_start|>system
You are a mathematical reasoning assistant. For each problem, follow these steps strictly:
1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}.
Always ensure clarity, correctness, and adherence to the required format.<|im_end|>
<|im_start|>user
Given that $... | [
"You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning and output the final answer within \\boxed{}.\n\nAlways ensure clarity, correctness, and adherence to the required format. [VERIFY] wrong.",
"Let's think step by step an... | \sqrt{5} | false |
76 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | [" ```\n [VERIFY] wrong. \\boxed{37}","To correct the previous reasoning, let's carefully re-ev(...TRUNCATED) | 38 | false |
15 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["The mistake in the previous reasoning was the incorrect interpretation of the numerical value obta(...TRUNCATED) | 1 | false |
59 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["The final self-evaluation is:\n\\[\n[VERIFY] wrong. \\boxed{246} \\boxed{}.","To verify the correc(...TRUNCATED) | 186 | false |
134 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. S(...TRUNCATED) | -3 | false |
23 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["It seems there was a mistake in my previous reasoning. Let's correct it and verify the steps again(...TRUNCATED) | 7.5 | false |
82 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["The mistake in the previous reasoning was in the transformation of the equation. The correct trans(...TRUNCATED) | 2 | false |
186 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | [" - Revising the reasoning, we find that the problem as stated has no solution because the condit(...TRUNCATED) | 18 | false |
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