question stringclasses 5
values | solution stringclasses 5
values | eval_internal_cot stringclasses 5
values | eval_solution stringclasses 5
values | judge_correct bool 1
class | judge_reasoning stringclasses 5
values | eval_prompt listlengths 2 2 | eval_steps listlengths 21 38 | steps_word_count int64 878 1.62k | trace_word_count int64 936 2.66k | word_count_diff int64 0 1.03k | model_name stringclasses 1
value | measurement_answer_verification_reasoning stringclasses 5
values | measurement_answer_verification_final_count int64 5 10 | measurement_answer_verification_metadata sequencelengths 3 10 | measurement_answer_verification_raw_response stringclasses 1
value | extracted_answer_values sequencelengths 2 10 | measurement_answer_verification_final_recount int64 2 10 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
8274 x 3529
Think step by step. | 29198946 | Okay, so I need to multiply 8274 by 3529. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by each digit and then adding up the results. Let me try to recall the exact process.
First, I should w... | The solution to the long multiplication equation \(8274 \times 3529\) is calculated as follows:
1. **Break down the multiplication by each digit of 3529:**
- **Ones place (9):**
\(8274 \times 9 = 74{,}466\)
- **Tens place (2, shifted one position left):**
\(8274 \times 2 = 16{,}548 \rightarrow 165{... | true | The solution accurately follows the steps of long multiplication and correctly sums the partial products to arrive at the final answer. The calculated answer matches the ground truth solution of 29198946. | [
{
"content": "You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON object with a single key 'steps' whose value is an array of step objects. Each step object must include the following keys: 'subgoal' (the intended subgoal for that step). 'content' (the exact text of the reason... | [
{
"contains_final_answer": false,
"content": "Okay, so I need to multiply 8274 by 3529. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by each digit and then adding up the results. ... | 1,216 | 1,216 | 0 | gpt-4o-mini | 1. Proposal of final answer: 'Therefore, 8274 multiplied by 3529 equals 29,198,946.' This is a clear conclusion stating the final answer. 2. Verification of final answer: 'Wait, let me verify this with another method to be sure.' This indicates the model is going to check the answer. 3. Verification of final answer: 'L... | 5 | [
"Final answer proposed: 29,198,946",
"First verification method proposed",
"Second verification method proposed",
"Third verification method proposed",
"Final confirmation of answer after verification"
] | [
"29,198,946",
"29,198,946"
] | 2 | |
What is the solution to the long multiplication equation below?
9341 x 4130
Think step by step. | 38578330 | Okay, so I need to solve 9341 multiplied by 4130. Hmm, let me think about how to approach this. I remember that multiplying large numbers can be broken down into smaller parts, right? Maybe using the distributive property, like breaking each number into thousands, hundreds, tens, and ones. But wait, 4130 is a multiple ... | The solution to the long multiplication equation 9341 × 4130 is calculated as follows:
1. **Break down the multiplication**:
- Recognize that 4130 = 413 × 10.
- Compute \( 9341 \times 413 \) first, then multiply by 10.
2. **Calculate \( 9341 \times 413 \)** using distributive property:
- \( 9341 \times 400 =... | true | The calculations presented in the solution are accurate, and the final result matches the ground truth solution. | [
{
"content": "You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON object with a single key 'steps' whose value is an array of step objects. Each step object must include the following keys: 'subgoal' (the intended subgoal for that step). 'content' (the exact text of the reason... | [
{
"contains_final_answer": false,
"content": "Okay, so I need to solve 9341 multiplied by 4130. Hmm, let me think about how to approach this. I remember that multiplying large numbers can be broken down into smaller parts, right? Maybe using the distributive property, like breaking each number into thousand... | 929 | 936 | 7 | gpt-4o-mini | 1. Proposal of final answer: "So the total of 9341 x 413 is 3,857,833." This is a clear conclusion of a major line of thought. 2. Verification of final answer: "Wait, let me verify that." This indicates a check on the previous answer. 3. Verification of final answer: "But let me check my calculations again to be sure."... | 5 | [
"Final answer proposed: 3,857,833",
"Verification of 3,857,833",
"Final answer proposed: 38,578,330",
"Verification of 38,578,330",
"Confidence in final answer"
] | [
"3,857,833",
"3,857,833",
"38,578,330",
"38,578,330"
] | 4 | |
"What is the solution to the long multiplication equation below?\n\n6637 x 5510\n\nThink step by ste(...TRUNCATED) | 36569870 | "Okay, so I need to multiply 6637 by 5510. Hmm, let's see. I remember that long multiplication invol(...TRUNCATED) | "To solve the long multiplication equation \\(6637 \\times 5510\\), we can break down the process in(...TRUNCATED) | true | "The solution provided calculates the product of 6637 and 5510 accurately by breaking down the multi(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 6637 by 5510. Hmm, let's see.(...TRUNCATED) | 878 | 1,300 | 422 | gpt-4o-mini | "1. Proposal: \"Therefore, the answer should be 36,569,870.\" This is a clear proposal of the final (...TRUNCATED) | 6 | ["Proposal 1: \"Therefore, the answer should be 36,569,870.\"","Verification 1: \"But let me verify (...TRUNCATED) | [
"36,569,870",
"36,569,870",
"36,569,870",
"36,569,870",
"36569870"
] | 5 | |
"What is the solution to the long multiplication equation below?\n\n5086 x 6642\n\nThink step by ste(...TRUNCATED) | 33781212 | "Okay, so I need to multiply 5086 by 6642. Hmm, that's a pretty big multiplication problem. Let me t(...TRUNCATED) | "To solve the long multiplication equation \\(5086 \\times 6642\\), we break down the multiplication(...TRUNCATED) | true | "The provided solution correctly implements the long multiplication method. Each step of the multipl(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 5086 by 6642. Hmm, that's a p(...TRUNCATED) | 1,623 | 2,657 | 1,034 | gpt-4o-mini | "1. Proposal of final answer: 'So the total should be 33,781,212.' This is a clear conclusion of the(...TRUNCATED) | 10 | ["Final answer proposed: 33,781,212","First verification: Confirming the addition of partial product(...TRUNCATED) | ["33,781,212","33,781,212","33,781,212","3,265,212","33,781,212","33,781,212","33,781,212","33,781,2(...TRUNCATED) | 10 | |
"What is the solution to the long multiplication equation below?\n\n8996 x 8373\n\nThink step by ste(...TRUNCATED) | 75323508 | "Okay, so I need to multiply 8996 by 8373. Hmm, that's a pretty big multiplication problem. Let me t(...TRUNCATED) | "To solve the long multiplication equation \\(8996 \\times 8373\\), we break down the multiplication(...TRUNCATED) | true | "The solution correctly calculates the product of 8996 and 8373 using both the long multiplication m(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 8996 by 8373. Hmm, that's a p(...TRUNCATED) | 1,005 | 1,302 | 297 | gpt-4o-mini | "1. Proposal: 'So the final result is 75,323,508.' - This is a clear proposal of the final answer. 2(...TRUNCATED) | 7 | ["Final answer proposed: 75,323,508","Verification steps confirmed the answer multiple times","Final(...TRUNCATED) | [
"75,323,508",
"75,323,508",
"75,323,508"
] | 3 |
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