__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": "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... | [
{
"contains_final_answer": false,
"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 distri... | 1,977 | 2,101 | 124 |
TAUR-dev/evals__r1_8d_eval | "What is the solution to the long multiplication equation below?\n\n63674990 x 82857332\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply 63,674,990 by 82,857,332. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | 5275939786526680 | "The solution to the long multiplication equation \\(63,\\!674,\\!990 \\times 82,\\!857,\\!332\\) is(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n63674990 x 82857332\n\nThink ste(...TRUNCATED) | true | "The provided solution correctly applies the distributive property and correctly computes the multip(...TRUNCATED) | 1 | 0 | "Okay, so I need to multiply 63,674,990 by 82,857,332. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 63,674,990 by 82,857,332. Hmm(...TRUNCATED) | 1,673 | 1,793 | 120 |
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":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply these two big numbers: 87,595(...TRUNCATED) | 2,498 | 2,451 | -47 |
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":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply these two big numbers: 82,669(...TRUNCATED) | 2,753 | 2,761 | 8 |
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":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 17,729,501 by 87,011,125. Hmm(...TRUNCATED) | 1,909 | 1,957 | 48 |
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":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply these two big numbers: 55,797(...TRUNCATED) | 1,483 | 1,526 | 43 |
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":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply these two big numbers: 88,396(...TRUNCATED) | 2,863 | 3,143 | 280 |
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":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply these two big numbers: 82,586(...TRUNCATED) | 1,807 | 1,985 | 178 |
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":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 95,413,332 by 44,615,271. Hmm(...TRUNCATED) | 2,838 | 3,394 | 556 |
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":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | [{"contains_final_answer":false,"content":"Okay, so I need to multiply these two big numbers: 91,377(...TRUNCATED) | 2,051 | 2,324 | 273 |
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