question stringclasses 3
values | solution stringclasses 3
values | eval_prompt stringclasses 3
values | eval_internal_cot stringclasses 1
value | eval_solution stringclasses 3
values | raw_eval_prompt stringclasses 3
values | judge_correct bool 1
class | judge_reasoning stringclasses 3
values | model_name stringclasses 1
value | measurement_answer_verification_reasoning stringclasses 3
values | measurement_answer_verification_final_count int64 4 4 | measurement_answer_verification_metadata sequencelengths 2 2 | measurement_answer_verification_raw_response stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
5761 x 7525
Think step by step. | 43351525 | What is the solution to the long multiplication equation below?
5761 x 7525
Think step by step. | To solve the long multiplication equation \( 5761 \times 7525 \), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:
### Step 1: Break down the multiplier (7525)
We can express \( 7525 \) as \( 8000 - 475 \). This allows us to rewrite the multiplic... | What is the solution to the long multiplication equation below?
5761 x 7525
Think step by step. | true | The solution accurately followed the steps of breaking down the multiplication using the distributive property, calculated the intermediate products correctly, and performed the final subtraction accurately. The format of the answer is consistent with the ground truth solution, confirming its correctness. | gpt-4o-mini | The final answer is proposed in the last step of the reasoning trace where the result of the multiplication is calculated as 43,351,525. This span is verified twice in the reasoning process.
===
The final answer span is verified twice, once when the subtraction is performed and again when the boxed answer is presen... | 4 | [
"Given the ques",
"Given the ques"
] | ||
What is the solution to the long multiplication equation below?
7826 x 3613
Think step by step. | 28275338 | What is the solution to the long multiplication equation below?
7826 x 3613
Think step by step. | To solve the long multiplication equation \(7826 \times 3613\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \(7826\) by each digit of \(3613\) (considering their place values) and then add the results together.
### Step 1: Break down t... | What is the solution to the long multiplication equation below?
7826 x 3613
Think step by step. | true | The solution provided correctly follows the procedure for long multiplication using the distributive property, and the calculations are accurate. The final result matches the ground truth solution. | gpt-4o-mini | The final answer is proposed in two spans: the first is the total calculated from the addition of partial results, and the second is the final answer presented in the boxed format. Both spans report the same final answer, which is 28,275,338.
===
Each span proposing the final answer was verified once during the sta... | 4 | [
"Given the q",
"Given the q"
] | ||
What is the solution to the long multiplication equation below?
8767 x 6409
Think step by step. | 56187703 | What is the solution to the long multiplication equation below?
8767 x 6409
Think step by step. | To solve the multiplication problem \( 8767 \times 6409 \), we'll break it down using the **long multiplication** method. Here's a step-by-step solution:
### Step 1: Break down the multiplication
We can express \( 6409 \) as \( 6000 + 400 + 0 + 9 \). This allows us to multiply \( 8767 \) by each component separately a... | What is the solution to the long multiplication equation below?
8767 x 6409
Think step by step. | true | The solution correctly performed long multiplication by breaking down the number 6409 and then computing each component. The addition of all partial results was accurately performed, resulting in the correct final product of 56187703. The boxed format is maintained properly. | gpt-4o-mini | The final answer is proposed in the last step of the reasoning trace where the result of the addition is stated as the final result. This span is verified twice in the reasoning process.
===
The final answer span is verified twice, once when it is calculated and once when it is boxed as the final answer. | 4 | [
"Given the question ",
"Given the question "
] |
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