idx int64 0 808 | prompt stringlengths 1.19k 12.2k | answers sequencelengths 32 32 | gt stringlengths 1 119 | true_reward bool 1
class | rewards sequencelengths 32 32 |
|---|---|---|---|---|---|
690 | <|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
A square is ... | [
"To correct the mistake, let's review the reasoning path and calculations again:\n\n1. **Perimeter of each rectangle**:\n Given that the perimeter of each rectangle is 32 inches.\n\n2. **Dimensions of the rectangles**:\n - Each rectangle has a width \\( w \\) equal to the side length of the square \\( s \\).\n ... | 51.2 \text{ inches} | false | [
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644 | <|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
A Tim number... | [
"The self-evaluation is [VERIFY] wrong. \\n\nThe correct final answer, given the constraints and the verification process, should be \\(\\boxed{30}\\).",
"The mistake in the previous reasoning was not considering the divisibility by 3 correctly. Let's fix the approach by checking the final number formed is divis... | 16 | false | [
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80 | <|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
Delete all p... | [
"self-evaluation\n[VERIFY] wrong, the correct answer should be 2050, not 2049, as the 2003rd term after removing perfect squares is indeed 2050.[VERIFY] wrong.",
"Delete all perfect squares from the sequence of positive integers. Find the 2003rd term of the new sequence. To find the 2003rd term of the sequence af... | 2048 | false | [
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544 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["Let's revise the reasoning and ensure the final answer is correct. We'll go through the steps agai(...TRUNCATED) | \frac{7}{16} | false | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) |
291 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["Let's re-evaluate the problem step by step to ensure correctness.\n\n1. For the inequality \\( x +(...TRUNCATED) | 2 | false | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) |
510 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["Let's re-evaluate the steps to ensure the correctness of the solution.\n\n1. Given the equation $((...TRUNCATED) | 16 | false | [true,true,true,true,true,true,true,false,true,true,true,true,true,true,true,true,true,true,true,tru(...TRUNCATED) |
183 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["To correct the mistake, let's re-evaluate the problem step-by-step and ensure the calculations are(...TRUNCATED) | 10 | false | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) |
153 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["To identify the mistake in the previous reasoning, let's carefully check the steps again:\n\n1. **(...TRUNCATED) | y = (1 + x)^2 | false | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) |
434 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["Let's think step by step and output the final answer within \\boxed{}. Hajat\nThe previous solutio(...TRUNCATED) | 94, 92, 85, 80, 78, 75 | false | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) |
45 | "<|im_start|>system\nYou are a mathematical reasoning assistant. For each problem, follow these step(...TRUNCATED) | ["To verify the correctness of the solution, let's re-evaluate the problem step by step:\n\n1. **Fin(...TRUNCATED) | (-2, 1) | false | [true,true,true,true,true,true,true,true,true,true,true,true,true,true,true,false,true,true,true,tru(...TRUNCATED) |
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