question stringclasses 2
values | solution stringclasses 2
values | eval_internal_cot stringclasses 2
values | eval_solution stringclasses 2
values | judge_correct bool 1
class | judge_reasoning stringclasses 2
values | eval_prompt listlengths 2 2 | eval_steps listlengths 28 30 | steps_word_count int64 878 1.22k | trace_word_count int64 1.22k 1.3k | word_count_diff int64 0 422 | model_name stringclasses 1
value | measurement_answer_verification_reasoning stringclasses 2
values | measurement_answer_verification_final_count int64 28 40 | measurement_answer_verification_metadata sequencelengths 20 20 | measurement_answer_verification_raw_response stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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 | The final answer is proposed multiple times throughout the reasoning process, particularly at the end where the answer is confirmed after several checks.
===
Each time the final answer is proposed, it is verified through calculations and checks, leading to a total of 20 verifications. | 40 | [
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le",
" 8274 by 9. Le"... | |
What is the solution to the long multiplication equation below?
6637 x 5510
Think step by step. | 36569870 | Okay, so I need to multiply 6637 by 5510. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both numbers here are four-digit and four-digit, this might take a while. Let me try to approac... | To solve the long multiplication equation \(6637 \times 5510\), we can break down the process into smaller steps:
1. **Break down the multiplier (5510) into its place values**:
- 5510 can be decomposed into 5000, 500, and 10.
2. **Multiply 6637 by each component of 5510**:
- \(6637 \times 5000\):
\[
6... | true | The solution provided calculates the product of 6637 and 5510 accurately by breaking down the multiplier into its components, performing individual multiplications, and correctly summing the results. The final computed result, 36569870, 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 multiply 6637 by 5510. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both numbers here are four-digit and ... | 878 | 1,300 | 422 | gpt-4o-mini | The final answer is consistently verified through multiple methods and calculations, confirming that the answer is indeed 36,569,870.
===
Each span proposing the final answer was verified multiple times throughout the reasoning process, with a total of 8 verifications across different methods. | 28 | [
"\nGiven the question ",
"\nGiven the question ",
"\nGiven the question ",
"\nGiven the question ",
"\nGiven the question ",
"\nGiven the question ",
"\nGiven the question ",
"\nGiven the question ",
"\nGiven the question ",
"\nGiven the question ",
"\nGiven the question ",
"\nGiven the questi... |
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