Split (1)

train · 20 rows

__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	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	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	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? 87595392 x 69877813 Think step by step.	Okay, so I need to multiply these two big numbers: 87,595,392 and 69,877,813. Hmm, that's a huge multiplication. 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. But doing this manually would t...	6120974421837696	To solve the long multiplication equation \(87595392 \times 69877813\), we can use the Karatsuba algorithm and verify the result using the standard multiplication method. Here are the key steps: 1. Karatsuba Algorithm: - Split the numbers into parts: - \(A = 87595392 = 8759 \times 10^4 + 5392\) - \(B ...	What is the solution to the long multiplication equation below? 87595392 x 69877813 Think step by step.	true	The provided solution correctly applies the Karatsuba algorithm and confirms the result through standard multiplication. The final product matches the ground truth solution exactly, confirming its correctness.	2	Okay, so I need to multiply these two big numbers: 87,595,392 and 69,877,813. Hmm, that's a huge multiplication. 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. But doing this manually would t...	[ { "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 these two big numbers: 87,595,392 and 69,877,813. Hmm, that's a huge multiplication. Let me think about how to approach this." }, { "content": "I remember that multiplying large numbers can be done by breaking them down into smaller parts, maybe using the distri...	2,399	2,451	52
TAUR-dev/evals__r1_8d_eval	What is the solution to the long multiplication equation below? 82669731 x 57977955 Think step by step.	Okay, so I need to multiply these two big numbers: 82,669,731 and 57,977,955. Hmm, that's a pretty hefty multiplication. 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 or some kind of estimati...	4793021943780105	To solve the long multiplication equation \(82669731 \times 57977955\), we can break down the multiplication into smaller, manageable parts and then sum the results. Here are the key steps: 1. Break down the multiplier (57977955) into components: - \(50,000,000\) - \(7,000,000\) - \(900,000\) - \(70,00...	What is the solution to the long multiplication equation below? 82669731 x 57977955 Think step by step.	false	The solution provided for the multiplication of 82669731 by 57977955 is incorrect as it yields a final sum of 4845103874310105, which does not match the ground truth solution of 4793021943780105. There appears to be an error in the calculation during the multiplication or summation of the parts.	3	Okay, so I need to multiply these two big numbers: 82,669,731 and 57,977,955. Hmm, that's a pretty hefty multiplication. 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 or some kind of estimati...	[ { "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 these two big numbers: 82,669,731 and 57,977,955. Hmm, that's a pretty hefty multiplication. 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 or...	2,921	2,761	-160
TAUR-dev/evals__r1_8d_eval	What is the solution to the long multiplication equation below? 17729501 x 87011125 Think step by step.	Okay, so I need to multiply 17,729,501 by 87,011,125. 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...	1542663827698625	To solve the long multiplication equation \(17,729,501 \times 87,011,125\), we can break down the numbers into smaller parts and use the distributive property. Here are the key steps: 1. Break down the numbers: - \(17,729,501 = 17,000,000 + 729,501\) - \(87,011,125 = 80,000,000 + 7,011,125\) 2. **Apply the ...	What is the solution to the long multiplication equation below? 17729501 x 87011125 Think step by step.	true	The provided solution accurately applies the distributive property, correctly calculates each term, and accurately sums them. The final result matches the ground truth solution, confirming that the solution is correct.	4	Okay, so I need to multiply 17,729,501 by 87,011,125. 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 17,729,501 by 87,011,125. 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 ...	2,807	1,957	-850
TAUR-dev/evals__r1_8d_eval	What is the solution to the long multiplication equation below? 55797294 x 52803797 Think step by step.	Okay, so I need to multiply these two big numbers: 55,797,294 and 52,803,797. Hmm, that's a pretty hefty multiplication. 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 numb...	2946308985525318	To solve the long multiplication equation \(55,797,294 \times 52,803,797\), we can break down the numbers into smaller components using the distributive property. Here are the key steps: 1. Decompose the numbers: - \(55,797,294 = 55,800,000 - 2,706\) - \(52,803,797 = 52,800,000 + 3,797\) 2. **Expand the pro...	What is the solution to the long multiplication equation below? 55797294 x 52803797 Think step by step.	true	The solution provided matches the ground truth solution exactly. All calculations and steps demonstrate the proper method of long multiplication, and the final result is correct based on the calculations.	5	Okay, so I need to multiply these two big numbers: 55,797,294 and 52,803,797. Hmm, that's a pretty hefty multiplication. 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 numb...	[ { "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 these two big numbers: 55,797,294 and 52,803,797. Hmm, that's a pretty hefty multiplication. 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, li...	1,526	1,526	0
TAUR-dev/evals__r1_8d_eval	What is the solution to the long multiplication equation below? 88396903 x 83656249 Think step by step.	Okay, so I need to multiply these two big numbers: 88,396,903 and 83,656,249. Hmm, that's a huge multiplication. 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. But doing this manually would t...	7394953328196847	The solution to the long multiplication equation \(88,\!396,\!903 \times 83,\!656,\!249\) is calculated by recognizing that the numbers are equidistant from their average, allowing the use of the difference of squares formula. Here's the step-by-step breakdown: 1. Identify the average (a) and the difference (b): ...	What is the solution to the long multiplication equation below? 88396903 x 83656249 Think step by step.	true	The solution correctly identifies the average and the difference of the two numbers and applies the difference of squares formula appropriately to compute the final product. The steps are clearly articulated and the arithmetic performed is accurate, matching the provided ground truth solution.	6	Okay, so I need to multiply these two big numbers: 88,396,903 and 83,656,249. Hmm, that's a huge multiplication. 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. But doing this manually would t...	[ { "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 these two big numbers: 88,396,903 and 83,656,249. Hmm, that's a huge multiplication. 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. But doing...	2,636	3,143	507
TAUR-dev/evals__r1_8d_eval	What is the solution to the long multiplication equation below? 82586873 x 48652981 Think step by step.	Okay, so I need to multiply these two big numbers: 82,586,873 and 48,652,981. Hmm, that's a huge multiplication. Let me think about how to approach this. I remember that multiplying large numbers can be done using the standard algorithm, breaking it down into smaller parts. But doing this step by step manually might ta...	4018097562918413	To solve the long multiplication equation \(82586873 \times 48652981\), we can use the standard algorithm by breaking down the multiplication into smaller parts and summing the results. Here are the key steps: 1. Breakdown the multiplier (48652981) into parts: - \(48652981 = 40000000 + 8652981\) 2. **Multiply ...	What is the solution to the long multiplication equation below? 82586873 x 48652981 Think step by step.	true	The calculated product of the long multiplication problem matches the ground truth solution exactly, verifying the correctness of the steps taken in the solution.	7	Okay, so I need to multiply these two big numbers: 82,586,873 and 48,652,981. Hmm, that's a huge multiplication. Let me think about how to approach this. I remember that multiplying large numbers can be done using the standard algorithm, breaking it down into smaller parts. But doing this step by step manually might ta...	[ { "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 these two big numbers: 82,586,873 and 48,652,981. Hmm, that's a huge multiplication. Let me think about how to approach this. I remember that multiplying large numbers can be done using the standard algorithm, breaking it down into smaller parts. But doing this step by ...	1,985	1,985	0
TAUR-dev/evals__r1_8d_eval	What is the solution to the long multiplication equation below? 95413332 x 44615271 Think step by step.	Okay, so I need to multiply 95,413,332 by 44,615,271. Hmm, that's a really 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. But doing this manually would take a lot ...	4256891664192972	The solution to the long multiplication equation \(95,\!413,\!332 \times 44,\!615,\!271\) is calculated by breaking down the numbers into smaller components, using the distributive property, and summing the partial products. After meticulous computation and verification through digital roots and modulo checks, the fina...	What is the solution to the long multiplication equation below? 95413332 x 44615271 Think step by step.	true	The solution accurately calculates the long multiplication of the two numbers and matches the ground truth solution. The results obtained through partial products and their summation are correctly aligned with the final answer.	8	Okay, so I need to multiply 95,413,332 by 44,615,271. Hmm, that's a really 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. But doing this manually would take a lot ...	[ { "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 95,413,332 by 44,615,271. Hmm, that's a really big multiplication problem. Let me think about how to approach this." }, { "content": "I remember that multiplying large numbers can be done by breaking them down into smaller parts, maybe using the distributive pro...	3,390	3,394	4
TAUR-dev/evals__r1_8d_eval	What is the solution to the long multiplication equation below? 91377028 x 25461247 Think step by step.	Okay, so I need to multiply these two big numbers: 91,377,028 and 25,461,247. Hmm, that's a pretty hefty multiplication. 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 (a + b)(c + d) = ac...	2326573080033916	The solution to the long multiplication equation \(91,\!377,\!028 \times 25,\!461,\!247\) is calculated by breaking down the numbers into manageable parts, performing individual multiplications, and summing the results. Here's the step-by-step breakdown: 1. Split the numbers: - \(91,\!377,\!028 = 91,\!000,\!000...	What is the solution to the long multiplication equation below? 91377028 x 25461247 Think step by step.	true	The provided solution correctly computes the product of the two large numbers through step-by-step long multiplication, correctly expands the terms, calculates each multiplication accurately, sums them appropriately, and arrives at the final answer which matches the ground truth solution. The verification steps also su...	9	Okay, so I need to multiply these two big numbers: 91,377,028 and 25,461,247. Hmm, that's a pretty hefty multiplication. 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 (a + b)(c + d) = ac...	[ { "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 these two big numbers: 91,377,028 and 25,461,247. Hmm, that's a pretty hefty multiplication. 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, li...	2,228	2,324	96
TAUR-dev/STEPS__r1_4d_eval__mini_all	What is the solution to the long multiplication equation below? 6277 x 7830 Think step by step.	Okay, so I need to solve 6277 multiplied by 7830. Hmm, let me think about how to approach this. I remember that multiplying large numbers can be broken down into smaller parts, maybe using the distributive property. Let me recall: a × b = a × (c + d) = a×c + a×d. So maybe I can split one of the numbers into thousands, ...	49148910	To solve the long multiplication equation \(6277 \times 7830\), we can break it down into smaller, more manageable steps using the distributive property and then verify the result using different methods. First, we recognize that \(7830 = 783 \times 10\). Therefore, we can compute \(6277 \times 783\) first and then mu...	null	true	The solution correctly follows the distributive property to break down and compute the multiplication, leading to the correct final result of 49148910.	10	Okay, so I need to solve 6277 multiplied by 7830. Hmm, let me think about how to approach this. I remember that multiplying large numbers can be broken down into smaller parts, maybe using the distributive property. Let me recall: a × b = a × (c + d) = a×c + a×d. So maybe I can split one of the numbers into thousands, ...	[ { "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 solve 6277 multiplied by 7830. Hmm, let me think about how to approach this. I remember that multiplying large numbers can be broken down into smaller parts, maybe using the distributive property." }, { "content": "Let me recall: a × b = a × (c + d) = a×c + a×d. So maybe...	1,104	1,104	0
TAUR-dev/STEPS__r1_4d_eval__mini_all	What is the solution to the long multiplication equation below? 9759 x 8317 Think step by step.	Okay, so I need to multiply 9759 by 8317. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down the two numbers: 9759 x ...	81165603	To solve the long multiplication equation \(9759 \times 8317\), we break down the multiplication into smaller parts by each digit of 8317, starting from the rightmost digit, and then sum the partial products. 1. Multiply by the ones place (7): \[ 9759 \times 7 = 68313 \] 2. **Multiply by the tens place (...	null	true	The solution correctly performs long multiplication by breaking down the multiplication into partial products, adequately shifting as needed for place value. The final sum of the partial products is accurate and matches the ground truth solution.	11	Okay, so I need to multiply 9759 by 8317. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down the two numbers: 9759 x ...	[ { "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 9759 by 8317. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down the tw...	1,642	1,684	42
TAUR-dev/STEPS__r1_4d_eval__mini_all	What is the solution to the long multiplication equation below? 7625 x 4707 Think step by step.	Okay, so I need to multiply 7625 by 4707. Hmm, let's see. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers. First, 7625 is the multiplicand, and 4707 is the multiplier. Since 4707 is a four-digit number, I'l...	35890875	To solve the long multiplication equation \(7625 \times 4707\), we break down the multiplier 4707 into its place values and compute each partial product, then sum them up. 1. Multiply by the ones place (7): \[ 7625 \times 7 = 53375 \] 2. Multiply by the tens place (0): \[ 7625 \times 0 = 0 \...	null	true	The solution correctly follows the long multiplication process by breaking down the multiplier and calculating each partial product accurately. The final sum of the partial products is also verified and matches the ground truth solution.	12	Okay, so I need to multiply 7625 by 4707. Hmm, let's see. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers. First, 7625 is the multiplicand, and 4707 is the multiplier. Since 4707 is a four-digit number, I'l...	[ { "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 7625 by 4707. Hmm, let's see. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers." }, { "content": "First, 7625 is the multiplicand, and 4707 is the mult...	1,224	1,224	0
TAUR-dev/STEPS__r1_4d_eval__mini_all	What is the solution to the long multiplication equation below? 5291 x 5500 Think step by step.	Okay, so I need to multiply 5291 by 5500. Hmm, let me think about how to approach this. I remember that multiplying large numbers can be broken down into smaller parts, maybe using the distributive property. Let me recall... right, a × (b + c) = a×b + a×c. But here, both numbers are single entities, so maybe I can simp...	29100500	To solve the long multiplication equation \(5291 \times 5500\), we can break down the problem into smaller, more manageable parts using the distributive property and properties of multiplication by powers of 10. 1. Break down 5500 into 55 × 100: \[ 5291 \times 5500 = 5291 \times (55 \times 100) \] 2. **F...	null	true	The provided solution correctly applies the distributive property and calculates each step accurately, leading to the final result of 29100500, which matches the ground truth solution.	13	Okay, so I need to multiply 5291 by 5500. Hmm, let me think about how to approach this. I remember that multiplying large numbers can be broken down into smaller parts, maybe using the distributive property. Let me recall... right, a × (b + c) = a×b + a×c. But here, both numbers are single entities, so maybe I can simp...	[ { "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 5291 by 5500. Hmm, let me think about how to approach this. I remember that multiplying large numbers can be broken down into smaller parts, maybe using the distributive property. Let me recall... right, a × (b + c) = a×b + a×c. But here, both numbers are single entitie...	963	963	0
TAUR-dev/STEPS__r1_4d_eval__mini_all	What is the solution to the long multiplication equation below? 7124 x 8405 Think step by step.	Okay, so I need to multiply 7124 by 8405. Hmm, that's a pretty big multiplication. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the steps. Firs...	59877220	To solve the long multiplication equation \(7124 \times 8405\), we can break down the multiplication into smaller parts and then sum the results. Here are the key steps: 1. Break down 8405 into place values: - \(8405 = 8000 + 400 + 5\) 2. Multiply 7124 by each part: - \(7124 \times 8000\) - \(7124 \t...	null	true	The solution provided follows the correct steps of breaking down the multiplication, performing the calculations accurately for each component, and summing the results correctly. The final computed product matches the ground truth solution.	14	Okay, so I need to multiply 7124 by 8405. Hmm, that's a pretty big multiplication. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the steps. Firs...	[ { "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 7124 by 8405. Hmm, that's a pretty big multiplication. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...	1,166	1,166	0
TAUR-dev/STEPS__r1_4d_eval__mini_all	What is the solution to the long multiplication equation below? 3395 x 8572 Think step by step.	Okay, so I need to multiply 3395 by 8572. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process. First, I should ...	29101940	To solve the long multiplication equation \(3395 \times 8572\), we break down the multiplication into smaller parts and then sum the results. Here are the key steps: 1. Multiply 3395 by each digit of 8572, considering place value: - Units place (2): \[ 3395 \times 2 = 6790 \] - **Tens plac...	null	true	The solution correctly follows the steps of long multiplication, breaking down the multiplication of 3395 by each digit of 8572 with full consideration of place value. The intermediate products are correctly calculated and summed, leading to the final correct result of 29101940.	15	Okay, so I need to multiply 3395 by 8572. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process. First, I should ...	[ { "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 3395 by 8572. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proc...	1,367	1,370	3
TAUR-dev/STEPS__r1_4d_eval__mini_all	What is the solution to the long multiplication equation below? 6440 x 9590 Think step by step.	Okay, so I need to solve 6440 multiplied by 9590. Hmm, let's see. I remember that when multiplying large numbers, breaking them down into smaller parts can make it easier. Maybe I can use the distributive property here. Let me think... First, both numbers have zeros at the end. 6440 has one zero, and 9590 also has on...	61759600	The solution to the long multiplication equation 6440 x 9590 is calculated as follows: 1. Simplify by removing trailing zeros: \(6440 \times 9590 = (644 \times 959) \times 10 \times 10 = (644 \times 959) \times 100\). 2. Multiply 644 by 959: Break down using distributive property: \[ 644 \ti...	null	true	The provided solution correctly follows the steps for long multiplication, arrives at the correct intermediate products, sums them correctly, and correctly reintroduces the trailing zeros. The final answer matches the ground truth solution.	16	Okay, so I need to solve 6440 multiplied by 9590. Hmm, let's see. I remember that when multiplying large numbers, breaking them down into smaller parts can make it easier. Maybe I can use the distributive property here. Let me think... First, both numbers have zeros at the end. 6440 has one zero, and 9590 also has on...	[ { "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 solve 6440 multiplied by 9590. Hmm, let's see. I remember that when multiplying large numbers, breaking them down into smaller parts can make it easier. Maybe I can use the distributive property here. Let me think..." }, { "content": "First, both numbers have zeros at th...	1,066	1,066	0
TAUR-dev/STEPS__r1_4d_eval__mini_all	What is the solution to the long multiplication equation below? 5082 x 7756 Think step by step.	Okay, so I need to multiply 5082 by 7756. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process. First, I should ...	39415992	To solve the long multiplication equation \(5082 \times 7756\), we break down the multiplication into smaller steps using the standard algorithm: 1. Multiply 5082 by 6: \[ \begin{array}{r} 5082 \\ \times \quad 6 \\ \hline 30492 \\ \end{array} \] 2. **Multiply 5082 by 50 (shift one ...	null	true	The solution provided correctly follows the steps of long multiplication, accurately calculates all the partial products, and correctly sums them up to arrive at the final answer, which matches the ground truth solution.	17	Okay, so I need to multiply 5082 by 7756. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process. First, I should ...	[ { "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 5082 by 7756. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proc...	1,247	1,238	-9
TAUR-dev/STEPS__r1_4d_eval__mini_all	What is the solution to the long multiplication equation below? 5639 x 6421 Think step by step.	Okay, so I need to multiply 5639 by 6421. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers: 5639 x 6421 -...	36208019	To solve the long multiplication equation \(5639 \times 6421\), we break down the multiplier 6421 into its individual place values and compute each component step by step: 1. Units place (1): \[ 5639 \times 1 = 5639 \] 2. Tens place (20): \[ 5639 \times 20 = 5639 \times 2 \times 10 = 11278 \tim...	null	true	The provided solution accurately follows the method of long multiplication, breaking it down into components and summing them correctly. Each multiplication step is calculated properly, and the final addition of all components is performed without errors, yielding the correct product of 5639 and 6421, which matches the...	18	Okay, so I need to multiply 5639 by 6421. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers: 5639 x 6421 -...	[ { "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 5639 by 6421. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both n...	1,281	1,281	0
TAUR-dev/STEPS__r1_4d_eval__mini_all	What is the solution to the long multiplication equation below? 3392 x 6534 Think step by step.	Okay, so I need to multiply 3392 by 6534. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process. First, I should ...	22163328	To solve the long multiplication equation \(3392 \times 6534\), we break down the process step by step: 1. Multiply by the ones place (4): \[ \begin{array}{r} 3392 \\ \times \quad 4 \\ \hline 13568 \\ \end{array} \] 2. Multiply by the tens place (30) and shift one position left: ...	null	true	The solution correctly follows the steps of long multiplication, calculating the partial products accurately and summing them to arrive at the final product. The final answer matches the ground truth solution, which confirms its correctness.	19	Okay, so I need to multiply 3392 by 6534. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process. First, I should ...	[ { "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 3392 by 6534. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proc...	1,787	2,222	435

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