__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 | steps_metadata list |
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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.",
"equations": ... | 1,952 | 2,101 | 149 | [
{
"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.",
"equations": ... |
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