question string | solution string | eval_prompt list | eval_internal_cot string | eval_solution string | raw_eval_prompt string | judge_correct bool | judge_reasoning string | eval_steps list | steps_word_count int64 | trace_word_count int64 | word_count_diff int64 | model_name string | measurement_answer_verification_reasoning string | measurement_answer_verification_final_count int64 | measurement_answer_verification_metadata sequence | measurement_answer_verification_raw_response string | extracted_answer_values sequence | measurement_answer_verification_final_recount int64 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
97511989 x 29677209
Think step by step. | 2893883677558701 | [
{
"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... | ### Understanding the Problem
First, I need to multiply two large numbers: **97,511,989** and **29,677,209**. Directly multiplying these seems complex, so I recall that breaking them down using the **distributive property of multiplication over addition** (also known as the FOIL method) might simplify the process. Thi... | What is the solution to the long multiplication equation below?
97511989 x 29677209
Think step by step. | true | The solution presented calculates the product of the two numbers using detailed breakdowns of the multiplication process and partial products, arriving at the correct final answer. The evaluation of the number and use of verification methods also confirm the result matches the ground truth solution. | [
{
"contains_final_answer": false,
"content": "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **97,511,989** and **29,677,209**. Directly multiplying these seems complex, so I recall that breaking them down using the **distributive property of multiplication over addition** (al... | 923 | 966 | 43 | gpt-4o-mini | 1. Proposal of final answer: The model concludes with the statement, "The product of 97,511,989 and 29,677,209 is 2,893,883,677,558,701." This is a clear proposal of the final answer. 2. Verification of final answer: The model then states, "Now, subtract b^2 from a^2: a^2 - b^2 = 4,044,273,021,970,801 - 1,150,389,344,4... | 3 | [
"Final answer proposed: 2,893,883,677,558,701",
"First verification: Confirming through subtraction of squares",
"Second verification: Matching with standard long multiplication result"
] | [
"2,893,883,677,558,701",
"2,893,883,677,558,701",
"2,893,883,677,558,701"
] | 3 | ||
What is the solution to the long multiplication equation below?
39634656 x 65995812
Think step by step. | 2615721306060672 | [
{
"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... | ### Understanding the Problem
First, I need to multiply two large numbers: **39,634,656** and **65,995,812**. Directly multiplying these seems complex, so I recall that breaking them down using the **distributive property of multiplication over addition** (also known as the FOIL method) can simplify the process. This ... | What is the solution to the long multiplication equation below?
39634656 x 65995812
Think step by step. | false | The final answer provided, '2.615721306060672 \times 10^{15}', is incorrect as it uses scientific notation and has a decimal point that is misplaced. The ground truth solution, '2615721306060672', does not have any decimal point and is not in scientific notation. The correct answer should be '2615721306060672'. | [
{
"contains_final_answer": false,
"content": "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **39,634,656** and **65,995,812**. Directly multiplying these seems complex, so I recall that breaking them down using the **distributive property of multiplication over addition** (al... | 729 | 729 | 0 | gpt-4o-mini | 1. The first proposal of a final answer is found in the last section where it states, "After performing the calculations, the product of **39,634,656** and **65,995,812** is: \boxed{2.615721306060672 \times 10^{15}}" This clearly indicates the conclusion of the calculation process, thus counting as a proposal. 2. The s... | 2 | [
"Final answer proposed: 2.615721306060672 x 10^15",
"Verification attempt: sanity check using a calculator"
] | [
"2.615721306060672 x 10^15",
"2.615721306060672 x 10^15"
] | 2 | ||
"What is the solution to the long multiplication equation below?\n\n24755057 x 57601784\n\nThink ste(...TRUNCATED) | 1425935446221688 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **24,755,057** and **(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n24755057 x 57601784\n\nThink ste(...TRUNCATED) | true | "The solution correctly details the multiplication process while verifying each calculation step. Th(...TRUNCATED) | [{"contains_final_answer":false,"content":"### Understanding the Problem\n\nFirst, I need to multipl(...TRUNCATED) | 797 | 797 | 0 | gpt-4o-mini | "1. Proposal of final answer: The model concludes with the final product of the multiplication: \"th(...TRUNCATED) | 4 | ["Final answer proposed: 1","Verification of partial result 1","Verification of partial result 2","V(...TRUNCATED) | [
"1.425935446221688 x 10^15",
"1.425935446221688 x 10^15",
"1.425935446221688 x 10^15"
] | 3 | ||
"What is the solution to the long multiplication equation below?\n\n53563670 x 33752847\n\nThink ste(...TRUNCATED) | 1807926358268490 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a str(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n53563670 x 33752847\n\nThink ste(...TRUNCATED) | true | "The calculated product of 53563670 and 33752847 has been meticulously verified through step-by-step(...TRUNCATED) | [{"contains_final_answer":false,"content":"### Understanding the Problem\n\nFirst, I need to underst(...TRUNCATED) | 1,432 | 1,432 | 0 | gpt-4o-mini | "1. The first proposal of a final answer occurs at the end of the reasoning trace: \"the product of (...TRUNCATED) | 3 | ["Final answer proposed: 1,807,926,358,268,490","Verifications of addition steps confirmed the final(...TRUNCATED) | [
"1,807,926,358,268,490"
] | 1 | ||
"What is the solution to the long multiplication equation below?\n\n81471995 x 26159399\n\nThink ste(...TRUNCATED) | 2131258424531005 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a str(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n81471995 x 26159399\n\nThink ste(...TRUNCATED) | true | "The solution provides a detailed explanation of the multiplication process and arrives at the corre(...TRUNCATED) | [{"contains_final_answer":false,"content":"### Understanding the Problem\n\nFirst, I need to underst(...TRUNCATED) | 1,361 | 1,503 | 142 | gpt-4o-mini | "1. Proposal of final answer: The model concludes with the statement, \"the product of **81,471,995*(...TRUNCATED) | 3 | ["Final answer proposed: 2.131258424531005 x 10^15","Verification through standard long multiplicati(...TRUNCATED) | [
"2.131258424531005 x 10^15",
"2.131258424531005 x 10^15",
"2.131258424531005 x 10^15"
] | 3 |
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