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4793 x 9915
47522595
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n4793 x 9915\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 4793, \"arg2\": 9915, \"solution\": 47522595}", "task_source": "longmult"}
test
{"arg1": 4793, "arg2": 9915, "solution": 47522595}
[ "To solve the multiplication of 4793 and 9915, we can break it down into simpler steps:\n\n### Step 1: Break down the numbers\n- First, let's express 9915 as \\( 10000 - 885 \\).\n \n This gives us two separate multiplications: \n \n \\( 4793 \\times (10000 - 885) \\)\n\n### Step 2: Distribute the multiplica...
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[ "", "", "", "" ]
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[[{"evaluation_method": "legacy", "legacy_result": true}], [{"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}], []]
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2025-11-09
4507 x 8243
37151201
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n4507 x 8243\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 4507, \"arg2\": 8243, \"solution\": 37151201}", "task_source": "longmult"}
test
{"arg1": 4507, "arg2": 8243, "solution": 37151201}
[ "To solve the multiplication equation \\(4507 \\times 8243\\), we can break it down into simpler steps:\n\n1. **Break Down the Numbers**: \n - First, let's separate the numbers into parts that might be easier to work with.\n \n \\(4507 = 4000 + 500 + 7\\)\n \\(8243 = 8000 + 200 + 40 + 3\\)\n\n2. **Multiply ...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ false, false, false, false ]
[ null, "36056371", null, null ]
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[[], [{"evaluation_method": "legacy", "legacy_result": false}], [], []]
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2025-11-09
7645 x 2867
21918215
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n7645 x 2867\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 7645, \"arg2\": 2867, \"solution\": 21918215}", "task_source": "longmult"}
test
{"arg1": 7645, "arg2": 2867, "solution": 21918215}
[ "To solve the multiplication equation \\( 7645 \\times 2867 \\), we will follow these steps:\n\n1. **Break down the numbers into smaller parts**:\n - Break \\( 7645 \\) into \\( 7000 + 600 + 40 + 5 \\).\n - Break \\( 2867 \\) into \\( 2000 + 800 + 60 + 7 \\).\n\n2. **Multiply each part of the first number by ea...
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[ "", "", "", "" ]
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[ null, null, "2199865", "2141630" ]
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2025-11-09
8344 x 6174
51515856
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n8344 x 6174\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 8344, \"arg2\": 6174, \"solution\": 51515856}", "task_source": "longmult"}
test
{"arg1": 8344, "arg2": 6174, "solution": 51515856}
[ "To solve the multiplication of two numbers (8344 and 6174), we can use the standard algorithm for multiplying large numbers. Here’s how we do it:\n\n### Step 1: Multiply each digit of the first number by each digit of the second number.\nWe'll start from the rightmost digits and move leftward, carrying over as nec...
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[ "4901688", "520096", null, null ]
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2025-11-09
5560 x 2589
14394840
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n5560 x 2589\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 5560, \"arg2\": 2589, \"solution\": 14394840}", "task_source": "longmult"}
test
{"arg1": 5560, "arg2": 2589, "solution": 14394840}
[ "To solve the multiplication equation \\( 5560 \\times 2589 \\), we can break it down into smaller parts and use the distributive property of multiplication over addition.\n\nFirst, let's write out the multiplication:\n\n\\[\n5560 \\times 2589 = (5560) \\times (2500 + 89)\n\\]\n\nNow, distribute the multiplication ...
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[ "", "", "", "" ]
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2025-11-09
5291 x 7587
40142817
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n5291 x 7587\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 5291, \"arg2\": 7587, \"solution\": 40142817}", "task_source": "longmult"}
test
{"arg1": 5291, "arg2": 7587, "solution": 40142817}
[ "To solve the multiplication equation \\(5291 \\times 7587\\), we can break it down into smaller steps for easier calculation:\n\n### Step 1: Break down the numbers\nWe start by breaking down each number into more manageable parts.\n- \\(5291\\) can be written as \\(5000 + 200 + 90 + 1\\).\n- \\(7587\\) can be writ...
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2025-11-09
8481 x 3516
29819196
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n8481 x 3516\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 8481, \"arg2\": 3516, \"solution\": 29819196}", "task_source": "longmult"}
test
{"arg1": 8481, "arg2": 3516, "solution": 29819196}
[ "To solve the multiplication equation \\(8481 \\times 3516\\), we can use the standard multiplication algorithm or any other method for large number multiplication. However, since these numbers are quite large and it might be tedious to manually compute the product, let's break down the process into manageable step...
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[ "", "", "", "" ]
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2025-11-09
7176 x 7208
51724608
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n7176 x 7208\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 7176, \"arg2\": 7208, \"solution\": 51724608}", "task_source": "longmult"}
test
{"arg1": 7176, "arg2": 7208, "solution": 51724608}
[ "To solve the multiplication equation \\(7176 \\times 7208\\), we can use the standard algorithm for multiplication:\n\n### Step-by-Step Solution:\n\n1. **Set up the multiplication**: Write down the numbers one under the other, aligning them by place value.\n ```\n 7176\n × 7208\n ```\n\n2. **Multiply e...
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[ "", "", "", "" ]
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[ "(4119128)", null, null, null ]
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2025-11-09
7493 x 2187
16387191
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n7493 x 2187\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 7493, \"arg2\": 2187, \"solution\": 16387191}", "task_source": "longmult"}
test
{"arg1": 7493, "arg2": 2187, "solution": 16387191}
[ "To solve the multiplication equation \\(7493 \\times 2187\\), we can break it down into smaller steps and use properties of numbers for simplification:\n\n### Step-by-Step Solution:\n\n1. **Break Down the Numbers**:\n - Recognize that \\(7493\\) and \\(2187\\) are both relatively small numbers.\n - We will cal...
[ false, false, false, false ]
[ "", "", "", "" ]
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2025-11-09
5644 x 8077
45586588
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n5644 x 8077\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 5644, \"arg2\": 8077, \"solution\": 45586588}", "task_source": "longmult"}
test
{"arg1": 5644, "arg2": 8077, "solution": 45586588}
[ "To solve the multiplication of 5644 and 8077, we'll use the standard algorithm for multiplying large numbers. Here’s how it works:\n\n1. **Write down the numbers**: Place one number on top and the other under it.\n \n ```\n 5644\n × 8077\n ```\n\n2. **Multiply each digit of the bottom number by each d...
[ false, false, false, false ]
[ "", "", "", "" ]
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2025-11-09
4389 x 5248
23033472
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n4389 x 5248\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 4389, \"arg2\": 5248, \"solution\": 23033472}", "task_source": "longmult"}
test
{"arg1": 4389, "arg2": 5248, "solution": 23033472}
[ "To solve the multiplication problem \\(4389 \\times 5248\\), we can break it down into smaller steps for easier calculation:\n\n### Step 1: Break Down the Numbers\nFirst, let's separate the numbers into parts that might be easier to multiply directly or separately:\n- \\(4389\\) and \\(5248\\)\n\n### Step 2: Multi...
[ false, false, false, false ]
[ "", "", "", "" ]
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2025-11-09
9077 x 7337
66597949
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n9077 x 7337\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 9077, \"arg2\": 7337, \"solution\": 66597949}", "task_source": "longmult"}
test
{"arg1": 9077, "arg2": 7337, "solution": 66597949}
[ "To solve the multiplication equation \\(9077 \\times 7337\\), we can break it down into smaller steps for easier calculation:\n\n1. **Multiply 9077 by 3 (the units digit of 7337):**\n - \\(9077 \\times 3 = 27231\\)\n\n2. **Multiply 9077 by 30 (since there are two more digits after the first three in 7337):**\n ...
[ false, false, false, false ]
[ "", "", "", "" ]
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2025-11-09
8360 x 7744
64739840
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n8360 x 7744\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 8360, \"arg2\": 7744, \"solution\": 64739840}", "task_source": "longmult"}
test
{"arg1": 8360, "arg2": 7744, "solution": 64739840}
[ "To solve the multiplication equation \\(8360 \\times 7744\\), we can break it down into smaller steps for easier calculation.\n\n### Step 1: Break down the numbers\n- Let’s write both numbers as products of their prime factors:\n - \\(8360 = 2^3 \\times 5 \\times 13 \\times 19\\)\n - \\(7744 = 2^{10} \\times 11^...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "(2^13 * 55 * 247 * 2299)", null, "64743240", null ]
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2025-11-09
2076 x 2687
5578212
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n2076 x 2687\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 2076, \"arg2\": 2687, \"solution\": 5578212}", "task_source": "longmult"}
test
{"arg1": 2076, "arg2": 2687, "solution": 5578212}
[ "To solve the multiplication equation \\( 2076 \\times 2687 \\), we can use the standard algorithm for multiplication. Let's break it down into smaller steps:\n\n1. **Break Down the Numbers**: We'll start by breaking down each number into more manageable parts.\n - \\( 2076 = 2000 + 76 \\)\n - \\( 2687 = 2600 +...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ false, false, false, false ]
[ null, "8103712", "5925132", "6474152" ]
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2025-11-09
8201 x 3484
28572284
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n8201 x 3484\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 8201, \"arg2\": 3484, \"solution\": 28572284}", "task_source": "longmult"}
test
{"arg1": 8201, "arg2": 3484, "solution": 28572284}
[ "To solve the multiplication problem \\( 8201 \\times 3484 \\), we can break it down into smaller steps for easier calculation:\n\n### Step 1: Break down the numbers\n- \\( 8201 \\) can be broken down as \\( 8000 + 200 + 1 \\).\n- \\( 3484 \\) can be broken down as \\( 3000 + 400 + 80 + 4 \\).\n\n### Step 2: Multip...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ null, "27960000", null, null ]
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2025-11-09
9961 x 4055
40391855
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n9961 x 4055\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 9961, \"arg2\": 4055, \"solution\": 40391855}", "task_source": "longmult"}
test
{"arg1": 9961, "arg2": 4055, "solution": 40391855}
[ "To solve the multiplication of \\(9961 \\times 4055\\), we can break it down into simpler steps for easier calculation.\n\n### Step 1: Break Down the Numbers\nFirst, let’s write out both numbers clearly:\n\n- \\(9961\\) and \\(4055\\)\n\n### Step 2: Multiply Each Digit of One Number by Each Digit of the Other\nWe'...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "14141655", null, null, "547855" ]
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[ [ "14141655" ], [], [], [ "547855" ] ]
[[{"pattern_used": "answer tag", "confidence": 1.0, "position": 1017, "span_text": "14141655", "extraction_type": "internal", "span_start": 1017, "span_end": 1025, "original_span": "14141655"}], [], [], [{"pattern_used": "answer tag", "confidence": 1.0, "position": 546, "span_text": "547855", "extraction_type": "intern...
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2025-11-09
1297 x 4608
5976576
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n1297 x 4608\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 1297, \"arg2\": 4608, \"solution\": 5976576}", "task_source": "longmult"}
test
{"arg1": 1297, "arg2": 4608, "solution": 5976576}
[ "To solve the multiplication equation \\(1297 \\times 4608\\), we can break it down into simpler steps using the distributive property of multiplication over addition. This means we will multiply each digit of 1297 by each digit of 4608 and then sum all the products together.\n\nStep 1: Break down 1297 into its dig...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ "(5969576)", null, "2990882", "10929808" ]
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[ [ "(5969576)" ], [], [ "2990882" ], [ "10929808" ] ]
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[[{"evaluation_method": "legacy", "legacy_result": false}], [], [{"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}]]
{ "flips_by": [ 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 0, "pass_at_n": 0, "percent_correct": 0, "skill_count": { "answer_revision": [ 0, 0, 0, 0 ], "best_of_n": [ 0, 0, 0, 0 ], "reflect_close": [ 0, 0, ...
2025-11-09
4595 x 1419
6520305
longmult_4dig
longmult
[ { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nWhat is the solution to the multiplication equation below?\n4595 x 1419\n\nGive your answer in the following format:\n<answer>\n(...
[]
[]
{"metadata": "{\"arg1\": 4595, \"arg2\": 1419, \"solution\": 6520305}", "task_source": "longmult"}
test
{"arg1": 4595, "arg2": 1419, "solution": 6520305}
[ "To solve the multiplication problem \\(4595 \\times 1419\\), we can use the standard method of long multiplication. Let's break it down into manageable steps:\n\n### Step 1: Set up the multiplication vertically.\n```\n 4595\n× 1419\n-------------------\n```\n\n### Step 2: Multiply each digit of the bottom n...
[ false, false, false, false ]
[ "", "", "", "" ]
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[ false, false, false, false ]
[ "(6581055)", "6637405", "(6605205)", "6519105" ]
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[[{"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}], [{"evaluation_method": "legacy", "legacy_result": false}]]
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2025-11-09
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