__source_repo string | question string | eval_solution string | solution string | eval_internal_cot string | raw_eval_prompt 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 | metadata_verification_step_needed sequence | metadata_answers_correct sequence | metadata_reasoning_deliberation_needed sequence |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
TAUR-dev/lmfd_eval_v3_8d__steps | What is the solution to the long multiplication equation below?
60460452 x 59942216
Think step by step. | ### Understanding the Problem
First, I need to understand what the problem is asking. We have two large numbers:
- **Multiplicand**: 60,460,452
- **Multiplier**: 59,942,216
The goal is to find the product of these two numbers, i.e., 60,460,452 × 59,942,216.
### Breaking It Down: The Long Multiplication Approach
Gi... | 3624133473241632 | What is the solution to the long multiplication equation below?
60460452 x 59942216
Think step by step. | [
{
"contains_final_answer": false,
"content": "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. We have two large numbers:\n\n- **Multiplicand**: 60,460,452\n- **Multiplier**: 59,942,216\n\nThe goal is to find the product of these two numbers, i.e., 60,460,452 × 59,942... | 6 | 0 | ### Understanding the Problem
First, I need to understand what the problem is asking. We have two large numbers:
- **Multiplicand**: 60,460,452
- **Multiplier**: 59,942,216
The goal is to find the product of these two numbers, i.e., 60,460,452 × 59,942,216.
### Breaking It Down: The Long Multiplication Approach
Gi... | [
{
"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... | 706 | 722 | 16 | 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... | 6 | 3 | <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. ... | [
"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 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. ... | 3 | <thinking>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-pe... | [
"Again, 60,460,452 × 9 = 544,144,068",
"(200,000 + 1,334)² = 200,000² + 2 × 200,000 × 1,334 + 1,334² = 40,000,000,000 + 533,600,000 + 1,779,556",
"a² + 2ab + b² = 62,500,000,000 + 4,559,000,000 + 83,137,924 = 67,142,137,924"
] | <thinking>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-pe... | 1 | <thinking>
To answer your question—how many times does the model verify its higher-level reasoning (i.e., deliberates on whether the step or path it's currently pursuing is appropriate before either continuing or switching)—we need to identify all moments in the reasoning trace where:
- The model questions its current... | [
"But this seems a bit complex. Maybe a simpler breakdown:\n\n59,942,216 = 60,000,000 - 57,784 (since 60,000,000 - 57,784 = 59,942,216)\n\nBut I'm not sure if this will simplify the multiplication. Let me stick with the standard approach."
] | <thinking>
To answer your question—how many times does the model verify its higher-level reasoning (i.e., deliberates on whether the step or path it's currently pursuing is appropriate before either continuing or switching)—we need to identify all moments in the reasoning trace where:
- The model questions its current... | [
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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) | [{"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) | [
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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) | [{"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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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) | [{"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) | [] | [
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TAUR-dev/lmfd_eval_v3_8d__steps | "What is the solution to the long multiplication equation below?\n\n97511989 x 29677209\n\nThink ste(...TRUNCATED) | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **97,511,989** and **(...TRUNCATED) | 2893883677558701 | "What is the solution to the long multiplication equation below?\n\n97511989 x 29677209\n\nThink ste(...TRUNCATED) | [{"contains_final_answer":false,"content":"### Understanding the Problem\n\nFirst, I need to multipl(...TRUNCATED) | 0 | 0 | "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **97,511,989** and **(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | 913 | 966 | 53 | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 0 | 2 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"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 (...TRUNCATED) | 22 | "Let's step through the reasoning trace to count how many times the model verifies an intermediate c(...TRUNCATED) | ["97,511,989 \\times 9 = 97,511,989 \\times (10 - 1) = 975,119,890 - 97,511,989 = 877,607,901","1,95(...TRUNCATED) | "Let's step through the reasoning trace to count how many times the model verifies an intermediate c(...TRUNCATED) | null | null | null | null | [
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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) | [{"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 | [
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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) | [{"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 | [
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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) | [{"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 | [
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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) | [{"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 | [] | [
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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) | [{"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 | [] | [
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