__source_repo string | question string | eval_solution string | solution string | eval_internal_cot string | raw_eval_prompt string | judge_correct bool | judge_reasoning string | eval_steps list | __orig_idx int64 | __chunk_idx int64 | eval_solution__chunked string | eval_prompt list | steps_word_count int64 | trace_word_count int64 | word_count_diff int64 | measurement_type string | measurement_prompt string | row_id int64 | measurement_answer_verification_final_count int64 | measurement_answer_verification_reasoning string | measurement_answer_verification_metadata sequence | measurement_answer_verification_raw_response string | measurement_step_verification_final_count int64 | measurement_step_verification_reasoning string | measurement_step_verification_metadata sequence | measurement_step_verification_raw_response string | measurement_reasoning_deliberation_final_count int64 | measurement_reasoning_deliberation_reasoning string | measurement_reasoning_deliberation_metadata sequence | measurement_reasoning_deliberation_raw_response string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
TAUR-dev/lmfd_eval_v3_8d__steps | What is the solution to the long multiplication equation below?
97511989 x 29677209
Think step by step. | ### 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... | 2893883677558701 | 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... | 0 | 0 | ### 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... | [
{
"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... | 913 | 966 | 53 | answer_verification | How many times does the following reasoning trace propose a final answer then verify it or double check it? Provide a number that shows how many times the model proposed the final answer (double checking the final answer means you are proposing a final answer). It may repeat the final answer (verification) or derive a... | 0 | 2 | <thinking>To determine how many times the model proposed a final answer, we look for each point in the reasoning trace where the model either:
Explicitly computes and presents a final result,
Restates or confirms that same result,
Attempts to verify it using an alternative method.
Let’s step through the trace.
1. ... | [
"2,893,883,677,558,701",
"2,893,883,677,558,701"
] | <thinking>To determine how many times the model proposed a final answer, we look for each point in the reasoning trace where the model either:
Explicitly computes and presents a final result,
Restates or confirms that same result,
Attempts to verify it using an alternative method.
Let’s step through the trace.
1. ... | 22 | Let's step through the reasoning trace to count how many times the model verifies an intermediate computation or reasoning step, excluding any full-problem re-evaluation or final answer re-check.
We are looking specifically for instances where the model makes a sub-computation, doubts or checks it, and re-performs or ... | [
"97,511,989 \\times 9 = 97,511,989 \\times (10 - 1) = 975,119,890 - 97,511,989 = 877,607,901",
"1,950,239,780,000,000 + 877,607,901,000,000 = 2,827,847,681,000,000",
"2,827,847,681,000,000 + 58,507,193,400,000 = 2,886,354,874,400,000",
"2,886,354,874,400,000 + 6,825,839,230,000 = 2,893,180,713,630,000",
"2,... | Let's step through the reasoning trace to count how many times the model verifies an intermediate computation or reasoning step, excluding any full-problem re-evaluation or final answer re-check.
We are looking specifically for instances where the model makes a sub-computation, doubts or checks it, and re-performs or ... | null | null | null | null | |
TAUR-dev/lmfd_eval_v3_8d__steps | "What is the solution to the long multiplication equation below?\n\n39634656 x 65995812\n\nThink ste(...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **39,634,656** and **(...TRUNCATED) | 2615721306060672 | "What is the solution to the long multiplication equation below?\n\n39634656 x 65995812\n\nThink ste(...TRUNCATED) | false | "The final answer provided, '2.615721306060672 \\times 10^{15}', is incorrect as it uses scientific (...TRUNCATED) | [{"contains_final_answer":false,"content":"### Understanding the Problem\n\nFirst, I need to multipl(...TRUNCATED) | 1 | 0 | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **39,634,656** and **(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | 729 | 729 | 0 | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 1 | 1 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"2615721306060672"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 0 | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | [] | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | null | null | null | null | |
TAUR-dev/lmfd_eval_v3_8d__steps | "What is the solution to the long multiplication equation below?\n\n24755057 x 57601784\n\nThink ste(...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **24,755,057** and **(...TRUNCATED) | 1425935446221688 | "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) | 2 | 0 | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **24,755,057** and **(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | 797 | 797 | 0 | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 2 | 3 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"1,425,935,446,221,688",
"1,425,935,446,221,688",
"1.425935446221688 × 10^{15}"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 3 | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | ["24,755,057 × 5 = 123,775,285 → Correct.","24,755,057 × 7 = 173,285,399 → Correct.","24,755,0(...TRUNCATED) | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | null | null | null | null | |
TAUR-dev/lmfd_eval_v3_8d__steps | "What is the solution to the long multiplication equation below?\n\n53563670 x 33752847\n\nThink ste(...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a str(...TRUNCATED) | 1807926358268490 | "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) | 3 | 0 | "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a str(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | 1,489 | 1,432 | -57 | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 3 | 2 | "<thinking>\nTo determine how many times the model proposed a final answer, we look for each point i(...TRUNCATED) | [
"1,807,926,358,268,490",
"1,807,926,358,268,490"
] | "<thinking>\nTo determine how many times the model proposed a final answer, we look for each point i(...TRUNCATED) | null | null | null | null | null | null | null | null | |
TAUR-dev/lmfd_eval_v3_8d__steps | "What is the solution to the long multiplication equation below?\n\n81471995 x 26159399\n\nThink ste(...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a str(...TRUNCATED) | 2131258424531005 | "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) | 4 | 0 | "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a str(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | 1,654 | 1,503 | -151 | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 4 | 3 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"2,131,258,424,531,005",
"2,131,258,424,531,005",
"2,131,258,424,531,005"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 5 | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | ["\\[ 81,471,995 \\times 9 = 81,471,995 \\times (10 - 1) = 814,719,950 - 81,471,995 = 733,247,955 \\(...TRUNCATED) | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | null | null | null | null | |
TAUR-dev/lmfd_eval_v3_8d__steps | "What is the solution to the long multiplication equation below?\n\n82669731 x 57977955\n\nThink ste(...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **82,669,731** and **(...TRUNCATED) | 4793021943780105 | "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) | 5 | 0 | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **82,669,731** and **(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | 1,825 | 1,841 | 16 | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 5 | 4 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"663668930280105",
"4793021943780105",
"4793023597174725",
"4793023597174725"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 7 | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | ["First, 82,669,731 × 7 = 578,688,117 (I did this by breaking it down: 80,000,000 × 7 = 560,000,00(...TRUNCATED) | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | null | null | null | null | |
TAUR-dev/lmfd_eval_v3_8d__steps | "What is the solution to the long multiplication equation below?\n\n60460452 x 59942216\n\nThink ste(...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. We have tw(...TRUNCATED) | 3624133473241632 | "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) | 6 | 0 | "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. We have tw(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | 706 | 722 | 16 | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 6 | 3 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"3,624,133,473,241,632",
"3,624,133,473,241,632",
"3,624,133,473,241,632"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 3 | "<thinking>Let's step through the reasoning trace to count how many times the model verifies an inte(...TRUNCATED) | ["Again, 60,460,452 × 9 = 544,144,068","(200,000 + 1,334)² = 200,000² + 2 × 200,000 × 1,334 + 1(...TRUNCATED) | "<thinking>Let's step through the reasoning trace to count how many times the model verifies an inte(...TRUNCATED) | 1 | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) | ["But this seems a bit complex. Maybe a simpler breakdown:\n\n59,942,216 = 60,000,000 - 57,784 (sinc(...TRUNCATED) | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) | |
TAUR-dev/lmfd_eval_v3_8d__steps | "What is the solution to the long multiplication equation below?\n\n78270826 x 89167215\n\nThink ste(...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **78,270,826** and **(...TRUNCATED) | 6979191570169590 | "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) | 7 | 0 | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **78,270,826** and **(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | 1,168 | 1,168 | 0 | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 7 | 1 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"6.97919157016959 × 10^{15}"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 0 | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | [] | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | 1 | "<thinking>To answer your question—how many times does the model verify its higher-level reasoning(...TRUNCATED) | ["To ensure accuracy, I recall the **difference of squares** method, but it's not directly applicabl(...TRUNCATED) | "<thinking>To answer your question—how many times does the model verify its higher-level reasoning(...TRUNCATED) | |
TAUR-dev/lmfd_eval_v3_8d__steps | "What is the solution to the long multiplication equation below?\n\n58191452 x 19309974\n\nThink ste(...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **58,191,452** and **(...TRUNCATED) | 1123675425142248 | "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) | 8 | 0 | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **58,191,452** and **(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | 782 | 815 | 33 | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 8 | 3 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"1123675425142248",
"1123675425142248",
"1.123675425142248 × 10^{15}"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 1 | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | ["Break 26 into \\(20 + 6\\):\\n\\n \\[ 58,191,452 \\times 26 = 58,191,452 \\times 20 + 58,191,452 \(...TRUNCATED) | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | 1 | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) | ["But before diving into that, perhaps using the **long multiplication** method would be more straig(...TRUNCATED) | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) | |
TAUR-dev/lmfd_eval_v3_8d__steps | "What is the solution to the long multiplication equation below?\n\n91914600 x 47919466\n\nThink ste(...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a mul(...TRUNCATED) | 4404498549603600 | "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) | 9 | 0 | "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a mul(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | 1,662 | 1,564 | -98 | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 9 | 3 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"3,676,584,000,000,000",
"4,404,498,549,603,600",
"4,404,498,549,603,600"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 1 | "<thinking>Let's step through the reasoning trace to count how many times the model verifies an inte(...TRUNCATED) | ["### Verification of Step 1\n\nTo ensure accuracy, I recall that multiplying by 40,000,000 is the s(...TRUNCATED) | "<thinking>Let's step through the reasoning trace to count how many times the model verifies an inte(...TRUNCATED) | 2 | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) | ["**Oops!** That's different from my previous result. I must have made a mistake.","### Verification(...TRUNCATED) | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) |
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