question string | solution string | eval_prompt list | eval_internal_cot string | eval_solution string | raw_eval_prompt string | judge_correct bool | judge_reasoning string | steps_word_count int64 | trace_word_count int64 | word_count_diff int64 | eval_steps list | is_final sequence | answer_trajectories list |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
97511989 x 29677209
Think step by step. | 2893883677558701 | [
{
"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: 'content' (the exact text of the reasoning step), 'step_type' (either 'thought' or 'ver... | Okay, so I need to multiply 97,511,989 by 29,677,209. 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 can make the multiplication easier. Maybe using the distributive property, like splitting each number i... | To solve the long multiplication equation \(97,511,989 \times 29,677,209\), we can break down each number into smaller parts and use the distributive property. Here are the key steps:
1. **Break down the numbers:**
- \(97,511,989 = 97,000,000 + 511,989\)
- \(29,677,209 = 29,000,000 + 677,209\)
2. **Use the dist... | What is the solution to the long multiplication equation below?
97511989 x 29677209
Think step by step. | true | The solution provided correctly follows the steps of multiplication using the distributive property, and the final result matches the ground truth solution. | 1,606 | 1,606 | 0 | [
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"content": "Okay, so I need to multiply 97,511,989 by 29,677,209. 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 can make the multiplication easier.... |
"What is the solution to the long multiplication equation below?\n\n39634656 x 65995812\n\nThink ste(...TRUNCATED) | 2615721306060672 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "Okay, so I need to multiply these two big numbers: 39,634,656 and 65,995,812. Hmm, that's a huge mu(...TRUNCATED) | "To solve the long multiplication equation \\(39,634,656 \\times 65,995,812\\), we can break down th(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n39634656 x 65995812\n\nThink ste(...TRUNCATED) | true | "The solution provided accurately follows the steps for long multiplication using the distributive p(...TRUNCATED) | 2,591 | 3,241 | 650 | [{"contains_final_answer":false,"content":"Okay, so I need to multiply these two big numbers: 39,634(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,false,true,false,false,false,false,false,fals(...TRUNCATED) | [[{"contains_final_answer":false,"content":"Okay, so I need to multiply these two big numbers: 39,63(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n24755057 x 57601784\n\nThink ste(...TRUNCATED) | 1425935446221688 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "Okay, so I need to multiply 24,755,057 by 57,601,784. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "To solve the long multiplication equation \\(24755057 \\times 57601784\\), we can break down each n(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n24755057 x 57601784\n\nThink ste(...TRUNCATED) | true | "The provided solution accurately follows the steps of long multiplication, correctly applying the d(...TRUNCATED) | 1,403 | 1,403 | 0 | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 24,755,057 by 57,601,784. Hmm(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) | [[{"contains_final_answer":false,"content":"Okay, so I need to multiply 24,755,057 by 57,601,784. Hm(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n53563670 x 33752847\n\nThink ste(...TRUNCATED) | 1807926358268490 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "Okay, so I need to multiply 53,563,670 by 33,752,847. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "The solution to the long multiplication equation \\(53,\\!563,\\!670 \\times 33,\\!752,\\!847\\) is(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n53563670 x 33752847\n\nThink ste(...TRUNCATED) | true | "The solution provided correctly follows a detailed breakdown of the long multiplication process, ac(...TRUNCATED) | 1,559 | 1,559 | 0 | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 53,563,670 by 33,752,847. Hmm(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,tru(...TRUNCATED) | [[{"contains_final_answer":false,"content":"Okay, so I need to multiply 53,563,670 by 33,752,847. Hm(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n81471995 x 26159399\n\nThink ste(...TRUNCATED) | 2131258424531005 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "Okay, so I need to multiply 81,471,995 by 26,159,399. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "The solution to the long multiplication equation \\(81471995 \\times 26159399\\) is calculated by b(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n81471995 x 26159399\n\nThink ste(...TRUNCATED) | true | "The original solution accurately follows the long multiplication process and performs the arithmeti(...TRUNCATED) | 2,242 | 2,242 | 0 | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 81,471,995 by 26,159,399. Hmm(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) | [[{"contains_final_answer":false,"content":"Okay, so I need to multiply 81,471,995 by 26,159,399. Hm(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n82669731 x 57977955\n\nThink ste(...TRUNCATED) | 4793021943780105 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "Okay, so I need to multiply these two big numbers: 82,669,731 and 57,977,955. Hmm, that's a pretty (...TRUNCATED) | "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) | 2,761 | 2,761 | 0 | [{"contains_final_answer":false,"content":"Okay, so I need to multiply these two big numbers: 82,669(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) | [[{"contains_final_answer":false,"content":"Okay, so I need to multiply these two big numbers: 82,66(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n60460452 x 59942216\n\nThink ste(...TRUNCATED) | 3624133473241632 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "Okay, so I need to multiply 60,460,452 by 59,942,216. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "To solve the long multiplication equation \\(60460452 \\times 59942216\\), we can break down the nu(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n60460452 x 59942216\n\nThink ste(...TRUNCATED) | true | "The calculated result of the long multiplication of 60460452 and 59942216 as described matches the (...TRUNCATED) | 1,338 | 1,338 | 0 | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 60,460,452 by 59,942,216. Hmm(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) | [[{"contains_final_answer":false,"content":"Okay, so I need to multiply 60,460,452 by 59,942,216. Hm(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n78270826 x 89167215\n\nThink ste(...TRUNCATED) | 6979191570169590 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "Okay, so I need to multiply 78,270,826 by 89,167,215. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "The solution to the long multiplication equation \\(78,\\!270,\\!826 \\times 89,\\!167,\\!215\\) is(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n78270826 x 89167215\n\nThink ste(...TRUNCATED) | true | "The solution provided correctly follows the steps of long multiplication using the distributive pro(...TRUNCATED) | 1,681 | 1,681 | 0 | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 78,270,826 by 89,167,215. Hmm(...TRUNCATED) | [false,false,false,false,false,true,false,false,false,false,false,false,false,false,false,false,fals(...TRUNCATED) | [[{"contains_final_answer":false,"content":"Okay, so I need to multiply 78,270,826 by 89,167,215. Hm(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n58191452 x 19309974\n\nThink ste(...TRUNCATED) | 1123675425142248 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "Okay, so I need to multiply 58,191,452 by 19,309,974. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "To solve the long multiplication equation \\(58,191,452 \\times 19,309,974\\), we can use the Karat(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n58191452 x 19309974\n\nThink ste(...TRUNCATED) | true | "The solution correctly applies the Karatsuba algorithm and correctly calculates the final product, (...TRUNCATED) | 2,220 | 2,220 | 0 | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 58,191,452 by 19,309,974. Hmm(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) | [[{"contains_final_answer":false,"content":"Okay, so I need to multiply 58,191,452 by 19,309,974. Hm(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n91914600 x 47919466\n\nThink ste(...TRUNCATED) | 4404498549603600 | [{"content":"You are a reasoning assistant. Given a chain-of-thought reasoning trace, output a JSON (...TRUNCATED) | "Okay, so I need to multiply 91,914,600 by 47,919,466. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "To solve the long multiplication equation \\(91,914,600 \\times 47,919,466\\), we can break down th(...TRUNCATED) | "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 accurately calculates each individual (...TRUNCATED) | 1,567 | 1,567 | 0 | [{"contains_final_answer":false,"content":"Okay, so I need to multiply 91,914,600 by 47,919,466. Hmm(...TRUNCATED) | [false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,false,fal(...TRUNCATED) | [[{"contains_final_answer":false,"content":"Okay, so I need to multiply 91,914,600 by 47,919,466. Hm(...TRUNCATED) |
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