__source_repo string | question string | eval_internal_cot string | solution string | eval_solution string | raw_eval_prompt string | judge_correct bool | judge_reasoning string | __orig_idx int64 | __chunk_idx int64 | eval_internal_cot__chunked string | eval_prompt list | eval_steps list | steps_word_count int64 | trace_word_count int64 | word_count_diff int64 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
TAUR-dev/evals__r1_8d_eval | What is the solution to the long multiplication equation below?
13674561 x 54275899
Think step by step. | Okay, so I need to multiply 13,674,561 by 54,275,899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that multiplying large numbers can be done by breaking them down into smaller parts, maybe using the distributive property. Let me recall: (a + b)(c + d) = ac + ad +... | 742199091705339 | The solution to the long multiplication equation \(13,\!674,\!561 \times 54,\!275,\!899\) is calculated as follows:
1. **Breakdown using the Karatsuba Algorithm**:
- Split each number into two 4-digit parts:
- \(13,\!674,\!561 = 1367 \times 10^4 + 4561\)
- \(54,\!275,\!899 = 5427 \times 10^4 + 5899\)
-... | What is the solution to the long multiplication equation below?
13674561 x 54275899
Think step by step. | true | The provided solution correctly applies the Karatsuba algorithm for long multiplication by breaking down the numbers and summing the products accurately, also matching the ground truth result precisely. | 0 | 0 | Okay, so I need to multiply 13,674,561 by 54,275,899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that multiplying large numbers can be done by breaking them down into smaller parts, maybe using the distributive property. Let me recall: (a + b)(c + d) = ac + ad +... | [
{
"content": "Return {'steps':[...]} (valid JSON, verbatim).",
"role": "system"
},
{
"content": "# Example 1\n\n## Instructions\nSplit the text into reasoning steps.\n\n## Question\nWhat is the solution to the long multiplication equation below?\n\n8274 x 3529\n\nThink step by step.\n\n## Reasoning ... | [
{
"content": "Okay, so I need to multiply 13,674,561 by 54,275,899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that multiplying large numbers can be done by breaking them down into smaller parts, maybe using the distributive property."
},
{
"cont... | 1,952 | 2,101 | 149 |
TAUR-dev/evals__r1_8d_eval | What is the solution to the long multiplication equation below?
63674990 x 82857332
Think step by step. | Okay, so I need to multiply 63,674,990 by 82,857,332. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that for large numbers, breaking them down into smaller parts might make it easier. Maybe using the distributive property, like splitting each number into parts that... | 5275939786526680 | The solution to the long multiplication equation \(63,\!674,\!990 \times 82,\!857,\!332\) is calculated by breaking down the numbers into manageable parts, using the distributive property, and carefully summing the results. Here's the step-by-step breakdown:
1. **Split the numbers**:
- \(63,\!674,\!990 = 60,\!000,\... | What is the solution to the long multiplication equation below?
63674990 x 82857332
Think step by step. | true | The provided solution correctly applies the distributive property and correctly computes the multiplication step-by-step, arriving at the exact final result which matches the ground truth solution. | 1 | 0 | Okay, so I need to multiply 63,674,990 by 82,857,332. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that for large numbers, breaking them down into smaller parts might make it easier. Maybe using the distributive property, like splitting each number into parts that... | [
{
"content": "Return {'steps':[...]} (valid JSON, verbatim).",
"role": "system"
},
{
"content": "# Example 1\n\n## Instructions\nSplit the text into reasoning steps.\n\n## Question\nWhat is the solution to the long multiplication equation below?\n\n8274 x 3529\n\nThink step by step.\n\n## Reasoning ... | [
{
"content": "Okay, so I need to multiply 63,674,990 by 82,857,332. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that for large numbers, breaking them down into smaller parts might make it easier. Maybe using the distributive property, like splitting each ... | 1,788 | 1,793 | 5 |
TAUR-dev/evals__r1_8d_eval | "What is the solution to the long multiplication equation below?\n\n87595392 x 69877813\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply these two big numbers: 87,595,392 and 69,877,813. Hmm, that's a huge mu(...TRUNCATED) | 6120974421837696 | "To solve the long multiplication equation \\(87595392 \\times 69877813\\), we can use the Karatsuba(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n87595392 x 69877813\n\nThink ste(...TRUNCATED) | true | "The provided solution correctly applies the Karatsuba algorithm and confirms the result through sta(...TRUNCATED) | 2 | 0 | "Okay, so I need to multiply these two big numbers: 87,595,392 and 69,877,813. Hmm, that's a huge mu(...TRUNCATED) | [{"content":"Return {'steps':[...]} (valid JSON, verbatim).","role":"system"},{"content":"# Example (...TRUNCATED) | [{"content":"Okay, so I need to multiply these two big numbers: 87,595,392 and 69,877,813. Hmm, that(...TRUNCATED) | 2,399 | 2,451 | 52 |
TAUR-dev/evals__r1_8d_eval | "What is the solution to the long multiplication equation below?\n\n82669731 x 57977955\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply these two big numbers: 82,669,731 and 57,977,955. Hmm, that's a pretty (...TRUNCATED) | 4793021943780105 | "To solve the long multiplication equation \\(82669731 \\times 57977955\\), we can break down the mu(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n82669731 x 57977955\n\nThink ste(...TRUNCATED) | false | "The solution provided for the multiplication of 82669731 by 57977955 is incorrect as it yields a fi(...TRUNCATED) | 3 | 0 | "Okay, so I need to multiply these two big numbers: 82,669,731 and 57,977,955. Hmm, that's a pretty (...TRUNCATED) | [{"content":"Return {'steps':[...]} (valid JSON, verbatim).","role":"system"},{"content":"# Example (...TRUNCATED) | [{"content":"Okay, so I need to multiply these two big numbers: 82,669,731 and 57,977,955. Hmm, that(...TRUNCATED) | 2,921 | 2,761 | -160 |
TAUR-dev/evals__r1_8d_eval | "What is the solution to the long multiplication equation below?\n\n17729501 x 87011125\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply 17,729,501 by 87,011,125. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | 1542663827698625 | "To solve the long multiplication equation \\(17,729,501 \\times 87,011,125\\), we can break down th(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n17729501 x 87011125\n\nThink ste(...TRUNCATED) | true | "The provided solution accurately applies the distributive property, correctly calculates each term,(...TRUNCATED) | 4 | 0 | "Okay, so I need to multiply 17,729,501 by 87,011,125. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | [{"content":"Return {'steps':[...]} (valid JSON, verbatim).","role":"system"},{"content":"# Example (...TRUNCATED) | [{"content":"Okay, so I need to multiply 17,729,501 by 87,011,125. Hmm, that's a pretty big multipli(...TRUNCATED) | 2,807 | 1,957 | -850 |
TAUR-dev/evals__r1_8d_eval | "What is the solution to the long multiplication equation below?\n\n55797294 x 52803797\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply these two big numbers: 55,797,294 and 52,803,797. Hmm, that's a pretty (...TRUNCATED) | 2946308985525318 | "To solve the long multiplication equation \\(55,797,294 \\times 52,803,797\\), we can break down th(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n55797294 x 52803797\n\nThink ste(...TRUNCATED) | true | "The solution provided matches the ground truth solution exactly. All calculations and steps demonst(...TRUNCATED) | 5 | 0 | "Okay, so I need to multiply these two big numbers: 55,797,294 and 52,803,797. Hmm, that's a pretty (...TRUNCATED) | [{"content":"Return {'steps':[...]} (valid JSON, verbatim).","role":"system"},{"content":"# Example (...TRUNCATED) | [{"content":"Okay, so I need to multiply these two big numbers: 55,797,294 and 52,803,797. Hmm, that(...TRUNCATED) | 1,526 | 1,526 | 0 |
TAUR-dev/evals__r1_8d_eval | "What is the solution to the long multiplication equation below?\n\n88396903 x 83656249\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply these two big numbers: 88,396,903 and 83,656,249. Hmm, that's a huge mu(...TRUNCATED) | 7394953328196847 | "The solution to the long multiplication equation \\(88,\\!396,\\!903 \\times 83,\\!656,\\!249\\) is(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n88396903 x 83656249\n\nThink ste(...TRUNCATED) | true | "The solution correctly identifies the average and the difference of the two numbers and applies the(...TRUNCATED) | 6 | 0 | "Okay, so I need to multiply these two big numbers: 88,396,903 and 83,656,249. Hmm, that's a huge mu(...TRUNCATED) | [{"content":"Return {'steps':[...]} (valid JSON, verbatim).","role":"system"},{"content":"# Example (...TRUNCATED) | [{"content":"Okay, so I need to multiply these two big numbers: 88,396,903 and 83,656,249. Hmm, that(...TRUNCATED) | 2,636 | 3,143 | 507 |
TAUR-dev/evals__r1_8d_eval | "What is the solution to the long multiplication equation below?\n\n82586873 x 48652981\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply these two big numbers: 82,586,873 and 48,652,981. Hmm, that's a huge mu(...TRUNCATED) | 4018097562918413 | "To solve the long multiplication equation \\(82586873 \\times 48652981\\), we can use the standard (...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n82586873 x 48652981\n\nThink ste(...TRUNCATED) | true | "The calculated product of the long multiplication problem matches the ground truth solution exactly(...TRUNCATED) | 7 | 0 | "Okay, so I need to multiply these two big numbers: 82,586,873 and 48,652,981. Hmm, that's a huge mu(...TRUNCATED) | [{"content":"Return {'steps':[...]} (valid JSON, verbatim).","role":"system"},{"content":"# Example (...TRUNCATED) | [{"content":"Okay, so I need to multiply these two big numbers: 82,586,873 and 48,652,981. Hmm, that(...TRUNCATED) | 1,985 | 1,985 | 0 |
TAUR-dev/evals__r1_8d_eval | "What is the solution to the long multiplication equation below?\n\n95413332 x 44615271\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply 95,413,332 by 44,615,271. Hmm, that's a really big multiplication probl(...TRUNCATED) | 4256891664192972 | "The solution to the long multiplication equation \\(95,\\!413,\\!332 \\times 44,\\!615,\\!271\\) is(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n95413332 x 44615271\n\nThink ste(...TRUNCATED) | true | "The solution accurately calculates the long multiplication of the two numbers and matches the groun(...TRUNCATED) | 8 | 0 | "Okay, so I need to multiply 95,413,332 by 44,615,271. Hmm, that's a really big multiplication probl(...TRUNCATED) | [{"content":"Return {'steps':[...]} (valid JSON, verbatim).","role":"system"},{"content":"# Example (...TRUNCATED) | [{"content":"Okay, so I need to multiply 95,413,332 by 44,615,271. Hmm, that's a really big multipli(...TRUNCATED) | 3,390 | 3,394 | 4 |
TAUR-dev/evals__r1_8d_eval | "What is the solution to the long multiplication equation below?\n\n91377028 x 25461247\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply these two big numbers: 91,377,028 and 25,461,247. Hmm, that's a pretty (...TRUNCATED) | 2326573080033916 | "The solution to the long multiplication equation \\(91,\\!377,\\!028 \\times 25,\\!461,\\!247\\) is(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n91377028 x 25461247\n\nThink ste(...TRUNCATED) | true | "The provided solution correctly computes the product of the two large numbers through step-by-step (...TRUNCATED) | 9 | 0 | "Okay, so I need to multiply these two big numbers: 91,377,028 and 25,461,247. Hmm, that's a pretty (...TRUNCATED) | [{"content":"Return {'steps':[...]} (valid JSON, verbatim).","role":"system"},{"content":"# Example (...TRUNCATED) | [{"content":"Okay, so I need to multiply these two big numbers: 91,377,028 and 25,461,247. Hmm, that(...TRUNCATED) | 2,228 | 2,324 | 96 |
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