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 | metadata_answers_correct sequence | metadata_answers_correct_judge_data list |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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, so we count this as 1.
2. Verification of the final answer: The model then states, "Now, subtract b^2 from a^2: a^2 - b^2 = 4,044,273,0... | 3 | [
"2,893,883,677,558,701",
"2,893,883,677,558,701",
"2,893,883,677,558,701"
] | [
true,
true,
true
] | [
{
"correct": true,
"reasoning": "The provided solution '2,893,883,677,558,701' matches the ground truth solution '2893883677558701' when considering that the formatting (commas) does not affect the numerical value. The numbers are identical and represent the same value, confirming that the solution is indee... | ||
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 | The trace concludes with a final answer proposal: "After performing the calculations, the product of **39,634,656** and **65,995,812** is: \boxed{2.615721306060672 \times 10^{15}}". This is a clear statement of the final answer, which counts as one proposal. | 1 | [
"2.615721306060672 × 10^15"
] | [
false
] | [
{
"correct": false,
"reasoning": "To evaluate the correctness of the solution to the multiplication problem 39634656 x 65995812, I will first perform the multiplication and then analyze the provided solution. The correct multiplication of these two numbers is:\n\n39634656 * 65995812 = 2615721306060672.\n\nT... | ||
"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. The first proposal of a final answer occurs when the model states, \"the product of **24,755,057(...TRUNCATED) | 3 | [
"1.425935446221688 × 10^{15}",
"123,775,285",
"173,285,399"
] | [
false,
false,
false
] | [{"correct":false,"reasoning":"To evaluate the correctness of the provided solution for the multipli(...TRUNCATED) | ||
"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: \"After carefully(...TRUNCATED) | 2 | [
"1,807,926,358,268,490",
"1,807,926,358,268,490"
] | [
true,
true
] | [{"correct":true,"reasoning":"The solution provided (1,807,926,358,268,490) is indeed the correct lo(...TRUNCATED) | ||
"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. The first proposal of a final answer occurs when the model states, \"the product of **81,471,995(...TRUNCATED) | 3 | [
"2.131258424531005 x 10^15",
"2.131258424531005 x 10^15",
"2.131258424531005 x 10^15"
] | [
false,
false,
false
] | [{"correct":false,"reasoning":"To evaluate the correctness of the proposed solution, we need to veri(...TRUNCATED) | ||
"What is the solution to the long multiplication equation below?\n\n82669731 x 57977955\n\nThink ste(...TRUNCATED) | 4793021943780105 | [{"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: **82,669,731** and **(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n82669731 x 57977955\n\nThink ste(...TRUNCATED) | false | "The computed result of the provided solution (4,793,023,597,174,725) does not match the ground trut(...TRUNCATED) | [{"contains_final_answer":false,"content":"### Understanding the Problem\n\nFirst, I need to multipl(...TRUNCATED) | 1,581 | 1,841 | 260 | gpt-4o-mini | "1. Proposal of final answer: 'Thus, the final product is: **82,669,731 × 57,977,955 = 4,793,023,59(...TRUNCATED) | 4 | [
"4,793,023,597,174,725",
"4,793,023,597,174,725",
"4,793,023,597,174,725",
"4,793,023,597,174,725"
] | [
false,
false,
false,
false
] | [{"correct":false,"reasoning":"To determine the correctness of the provided solution (4,793,023,597,(...TRUNCATED) | ||
"What is the solution to the long multiplication equation below?\n\n60460452 x 59942216\n\nThink ste(...TRUNCATED) | 3624133473241632 | [{"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. We have tw(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n60460452 x 59942216\n\nThink ste(...TRUNCATED) | true | "The solution accurately details each step of the multiplication process, including the breakdown of(...TRUNCATED) | [{"contains_final_answer":false,"content":"### Understanding the Problem\n\nFirst, I need to underst(...TRUNCATED) | 706 | 722 | 16 | gpt-4o-mini | "1. Proposal of final answer: The model states, \"the product of 60,460,452 and 59,942,216 is: **\\b(...TRUNCATED) | 3 | [
"3,624,133,473,241,632",
"3,624,133,473,241,632",
"3,624,133,473,241,632"
] | [
false,
true,
true
] | [{"correct":false,"reasoning":"The provided solution '3,624,133,473,241,632' includes commas, which (...TRUNCATED) | ||
"What is the solution to the long multiplication equation below?\n\n78270826 x 89167215\n\nThink ste(...TRUNCATED) | 6979191570169590 | [{"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: **78,270,826** and **(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n78270826 x 89167215\n\nThink ste(...TRUNCATED) | false | "The provided solution includes a lengthy breakdown and calculation process, but ultimately leads to(...TRUNCATED) | [{"contains_final_answer":false,"content":"### Understanding the Problem\n\nFirst, I need to multipl(...TRUNCATED) | 1,168 | 1,168 | 0 | gpt-4o-mini | "1. The first proposal of a final answer is found in the last section where it states, \"the product(...TRUNCATED) | 2 | [
"6.97919157016959 x 10^15",
"6.97919157016959 x 10^15"
] | [
false,
false
] | [{"correct":false,"reasoning":"The provided solution expresses the result of the multiplication in s(...TRUNCATED) | ||
"What is the solution to the long multiplication equation below?\n\n58191452 x 19309974\n\nThink ste(...TRUNCATED) | 1123675425142248 | [{"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: **58,191,452** and **(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n58191452 x 19309974\n\nThink ste(...TRUNCATED) | false | "The computed solution of 1.123675425142248 x 10^{15} is not equivalent to the ground truth solution(...TRUNCATED) | [{"contains_final_answer":false,"content":"### Understanding the Problem\n\nFirst, I need to multipl(...TRUNCATED) | 780 | 815 | 35 | gpt-4o-mini | "1. The first proposal of a final answer occurs at the end of the reasoning trace when the model sta(...TRUNCATED) | 3 | [
"1.123675425142248 x 10^15",
"1.123675425142248 x 10^15",
"1.123675425142248 x 10^15"
] | [
false,
false,
false
] | [{"correct":false,"reasoning":"The solution provided converts the long multiplication result into a (...TRUNCATED) | ||
"What is the solution to the long multiplication equation below?\n\n91914600 x 47919466\n\nThink ste(...TRUNCATED) | 4404498549603600 | [{"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 mul(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n91914600 x 47919466\n\nThink ste(...TRUNCATED) | true | "The solution correctly applies the distributive property and long multiplication methods to compute(...TRUNCATED) | [{"contains_final_answer":false,"content":"### Understanding the Problem\n\nFirst, I need to underst(...TRUNCATED) | 1,482 | 1,564 | 82 | gpt-4o-mini | "1. Proposal of final answer: The model states, \"The product of 91914600 × 47919466 is: \\boxed{4.(...TRUNCATED) | 3 | [
"4.4044985496036 × 10^{15}",
"4.4044985496036 × 10^{15}",
"4,404,498,549,603,600"
] | [
false,
false,
true
] | [{"correct":false,"reasoning":"To evaluate the correctness of the provided solution, we need to perf(...TRUNCATED) |
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