question string | answer string | task_config string | task_source string | prompt list | model_responses list | model_responses__eval_is_correct list | all_other_columns string | original_split string | metadata string | model_responses__best_of_n_atags list | model_responses__best_of_n_atags__finish_reason_length_flags list | model_responses__best_of_n_atags__length_partial_responses list | prompt__best_of_n_atags__metadata string | model_responses__best_of_n_atags__metadata string | model_responses__best_of_n_atags__eval_is_correct list | model_responses__best_of_n_atags__eval_extracted_answers list | model_responses__best_of_n_atags__eval_extraction_metadata string | model_responses__best_of_n_atags__eval_evaluation_metadata string | model_responses__best_of_n_atags__internal_answers__eval_is_correct list | model_responses__best_of_n_atags__internal_answers__eval_extracted_answers list | model_responses__best_of_n_atags__internal_answers__eval_extraction_metadata string | model_responses__best_of_n_atags__internal_answers__eval_evaluation_metadata string | model_responses__best_of_n_atags__metrics dict | eval_date string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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 4793 × 9915, let's break it down:\n\n1. Notice that 9915 = 10000 - 85 \n2. So, 4793 × 9915 = 4793 × (10000 - 85) \n = 4793 × 10000 - 4793 × 85 \n\nNow calculate each part:\n\n- 4793 × 10000 = 47,930,000 \n- 4793 × 85 = 4793 × (80 + 5) \n - 4793 × 80 = 383,440 \n - 4793 × 5 = 23,965 \n - ... | [
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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} | [
"Let's solve 4507 × 8243 step by step:\n\n1. Break down 8243 as (8000 + 200 + 40 + 3).\n2. Multiply each part by 4507 and add up:\n\n- 4507 × 8000 = 36,056,000 \n- 4507 × 200 = 901,400 \n- 4507 × 40 = 180,280 \n- 4507 × 3 = 13,521 \n\nNow sum them:\n\n36,056,000 \n+ 901,400 \n= 37,957,400 \n... | [
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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} | [
"Let's think step by step.\n\nTo solve 7645 × 2867:\n\nWe can break it down:\n- 7645 × 2000 = 15,290,000\n- 7645 × 800 = 6,116,000\n- 7645 × 60 = 458,700\n- 7645 × 7 = 53,515\n\nNow add them up:\n15,290,000 \n+ 6,116,000 \n= 21,406,000 \n+ 458,700 \n= 21,864,700 \n+ 53,515 \n= 21,918,215\n\nSo, the answe... | [
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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} | [
"Let's think step by step.\n\nWe need to compute: \n8344 × 6174\n\nBreak it down:\n\nFirst, let's break 6174 into 6000 + 174.\n\nSo,\n8344 × 6174 = 8344 × (6000 + 174) \n= 8344 × 6000 + 8344 × 174\n\nCalculate each part:\n\n**8344 × 6000:** \n8344 × 6 = 50,064 \nThen, 50,064 × 1000 = 50,064,000\n\n**8344 × 174:... | [
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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} | [
"Let's think step by step.\n\nTo solve 5560 × 2589:\n\nFirst, break it down for clarity:\n\n- 5560 = 5000 + 500 + 60\n- So, 5560 × 2589 = (5000 × 2589) + (500 × 2589) + (60 × 2589)\n\nNow calculate each part:\n\n1. **5000 × 2589**\n - 5 × 2589 = 12,945\n - Add four zeros: 12,945 × 1000 = 12,945,000\n\n2. **500 ... | [
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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} | [
"Let's think step by step.\n\nTo solve 5291 × 7587:\n\nFirst, break it down:\n\n- 5291 × 7000 = 5291 × 7 × 1000 \n 5291 × 7 = 37037 \n So, 37037 × 1000 = 37,037,000\n\n- 5291 × 500 = 5291 × 5 × 100 \n 5291 × 5 = 26,455 \n 26,455 × 100 = 2,645,500\n\n- 5291 × 80 = 5291 × 8 × 10 \n 5291 × 8 = 42,328 \n 42... | [
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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} | [
"Let's think step by step.\n\nWe need to find 8481 × 3516.\n\nBreak it down:\n\nFirst, multiply 8481 by 3000:\n8481 × 3000 = 25,443,000\n\nNext, multiply 8481 by 500:\n8481 × 500 = 4,240,500\n\nThen, multiply 8481 by 10:\n8481 × 10 = 84,810\n\nFinally, multiply 8481 by 6:\n8481 × 6 = 50,886\n\nNow, add them all tog... | [
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7176 x 7208 | 51724608 | longmult_4dig | longmult | [
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"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} | [
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7493 x 2187 | 16387191 | longmult_4dig | longmult | [
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"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} | [
"Let's break down the multiplication:\n\n**7493 × 2187**\n\nFirst, rewrite 7493 as (7000 + 400 + 90 + 3).\n\nNow multiply each part by 2187 and add up the results:\n\n1. **2187 × 3 = 6561**\n2. **2187 × 90 = 196830**\n3. **2187 × 400 = 874800**\n4. **2187 × 7000 = 15,309,000**\n\nAdd them together:\n- 6561 + 196830... | [
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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} | [
"Let's solve 5644 × 8077 step by step:\n\n1. Break down 8077 into 8000 + 77.\n2. Compute 5644 × 8000 = (5644 × 8) × 1000 = 45152 × 1000 = 45,152,000\n3. Compute 5644 × 77:\n - 5644 × 70 = 395,080\n - 5644 × 7 = 39,508\n - Sum: 395,080 + 39,508 = 434,588\n4. Add results:\n - 45,152,000 + 434,588 = 45,586,588... | [
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4389 x 5248 | 23033472 | longmult_4dig | longmult | [
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"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} | [
"Let's think step by step.\n\nWe need to compute 4389 × 5248.\n\nBreak it down:\n\nFirst, multiply 4389 by each digit of 5248 and add up the partial products (using place value):\n\n- 4389 × 8 = 35112\n- 4389 × 40 = 175560\n- 4389 × 200 = 877800\n- 4389 × 5000 = 21,945,000\n\nNow sum them up:\n\n35112 \n+175560 \... | [
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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} | [
"Let's think step by step.\n\nTo solve 9077 × 7337:\n\nFirst, break it down:\n- 9077 × 7000 = 9077 × 7 × 1000 = 63,539 × 1000 = 63,539,000\n- 9077 × 300 = 9077 × 3 × 100 = 27,231 × 100 = 2,723,100\n- 9077 × 30 = 9077 × 3 × 10 = 27,231 × 10 = 272,310\n- 9077 × 7 = 63,539\n\nNow add them up:\n63,539,000 \n+ 2,723,10... | [
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8360 x 7744 | 64739840 | longmult_4dig | longmult | [
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"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} | [
"Let's think step by step.\n\nTo solve 8360 × 7744:\n\n1. Break down 7744 into (7000 + 700 + 40 + 4).\n2. Compute each partial product with 8360:\n\n- 8360 × 7000 = 58,520,000 \n- 8360 × 700 = 5,852,000 \n- 8360 × 40 = 334,400 \n- 8360 × 4 = 33,440 \n\n3. Add them together:\n\n58,520,000 \n+ 5,8... | [
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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} | [
"Let's think step by step.\n\nFirst, break down the multiplication:\n\n2076 × 2687\n\nI can multiply 2076 by each digit of 2687, shifting accordingly (i.e., multiplying by units, tens, hundreds, thousands):\n\n- 2076 × 7 = 14532 \n- 2076 × 8 = 16608 → shift one place left (×10): 166080 \n- 2076 × 6 = 12456 → shif... | [
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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 8201 × 3484:\n\nBreak it down as follows:\n\nFirst, multiply 8201 by each digit of 3484 from right to left and add up the partial products:\n\n- 8201 × 4 = 32,804 \n- 8201 × 8 (tens place) = 65,608 → shift one position to the left: 656,080 \n- 8201 × 4 (hundreds place) = 32,804 → shift two positions to ... | [
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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 9961 × 4055, let's break it down:\n\nFirst, rewrite 4055 as (4000 + 55):\n\n9961 × 4055 = 9961 × 4000 + 9961 × 55\n\nCalculate each part:\n\n9961 × 4000 = 9961 × 4 × 1000 = 39,844 × 1000 = 39,844,000 \n9961 × 55 = 9961 × (50 + 5) = 9961 × 50 + 9961 × 5 \n- 9961 × 50 = 498,050 \n- 9961 × 5 = 49,805 \nS... | [
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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} | [
"Let's think step by step.\n\nTo solve 1297 × 4608:\n\nFirst, break it down:\n- 1297 × 4608 = 1297 × (4000 + 600 + 8)\n\nCalculate each part:\n1. 1297 × 4000 = 5,188,000 \n2. 1297 × 600 = 778,200 \n3. 1297 × 8 = 10,376 \n\nNow add them together:\n5,188,000 + 778,200 = 5,966,200 \n5,966,200 + 10,376 = 5,976,576\... | [
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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} | [
"Let's think step by step.\n\nWe need to find 4595 × 1419.\n\nFirst, break down 1419 as (1400 + 19):\n\n- 4595 × 1400 = 4595 × 14 × 100 \n First, 4595 × 14 = 4595 × (10 + 4) = 4595×10 + 4595×4 = 45,950 + 18,380 = 64,330 \n Then, 64,330 × 100 = 6,433,000\n\n- 4595 × 19 = 4595 × (20 - 1) = 4595×20 - 4595 = 91,900... | [
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7085 x 1512 | 10712520 | 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?\n7085 x 1512\n\nGive your answer in the following format:\n<answer>\n(... | [] | [] | {"metadata": "{\"arg1\": 7085, \"arg2\": 1512, \"solution\": 10712520}", "task_source": "longmult"} | test | {"arg1": 7085, "arg2": 1512, "solution": 10712520} | [
"To solve 7085 × 1512, let's break it down:\n\n1. **Break 1512 into parts:** \n 1512 = 1500 + 12\n\n2. **Calculate each part separately:**\n - 7085 × 1500 \n = (7085 × 15) × 100 \n First, 7085 × 15 = (7085 × 10) + (7085 × 5) \n - 7085 × 10 = 70,850 \n - 7085 × 5 = 35,425 \n So, ... | [
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3622 x 1904 | 6896288 | 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?\n3622 x 1904\n\nGive your answer in the following format:\n<answer>\n(... | [] | [] | {"metadata": "{\"arg1\": 3622, \"arg2\": 1904, \"solution\": 6896288}", "task_source": "longmult"} | test | {"arg1": 3622, "arg2": 1904, "solution": 6896288} | [
"Let's think step by step.\n\nTo solve 3622 × 1904:\n\nFirst, break 1904 into 1000 + 900 + 4:\n\n- 3622 × 1000 = 3,622,000\n- 3622 × 900 = (3622 × 9) × 100 = 32,598 × 100 = 3,259,800\n- 3622 × 4 = 14,488\n\nNow add them together:\n\n3,622,000 \n+ 3,259,800 \n+ 14,488 \n= 6,896,288\n\nSo, the solution is:\n\n<a... | [
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8208 x 8386 | 68832288 | 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?\n8208 x 8386\n\nGive your answer in the following format:\n<answer>\n(... | [] | [] | {"metadata": "{\"arg1\": 8208, \"arg2\": 8386, \"solution\": 68832288}", "task_source": "longmult"} | test | {"arg1": 8208, "arg2": 8386, "solution": 68832288} | [
"Let's think step by step.\n\nTo solve 8208 × 8386:\n\nFirst, break it down for clarity:\n- 8208 × 8000 = 8208 × 8 × 1000 = 65,664 × 1000 = 65,664,000\n- 8208 × 300 = 8208 × 3 × 100 = 24,624 × 100 = 2,462,400\n- 8208 × 80 = 8208 × 8 × 10 = 65,664 × 10 = 656,640\n- 8208 × 6 = 49,248\n\nNow sum them up:\n65,664,000 ... | [
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6083 x 2432 | 14793856 | 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?\n6083 x 2432\n\nGive your answer in the following format:\n<answer>\n(... | [] | [] | {"metadata": "{\"arg1\": 6083, \"arg2\": 2432, \"solution\": 14793856}", "task_source": "longmult"} | test | {"arg1": 6083, "arg2": 2432, "solution": 14793856} | [
"To solve 6083 × 2432, I'll break it down:\n\nFirst, multiply 6083 by each digit of 2432 from right to left, shifting accordingly:\n\n- 6083 × 2 = 12,166 \n- 6083 × 3 (tens place) = 18,249 → shift one position: 182,490 \n- 6083 × 4 (hundreds place) = 24,332 → shift two positions: 2,433,200 \n- 6083 × 2 (thousand... | [
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5459 x 8917 | 48677903 | 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?\n5459 x 8917\n\nGive your answer in the following format:\n<answer>\n(... | [] | [] | {"metadata": "{\"arg1\": 5459, \"arg2\": 8917, \"solution\": 48677903}", "task_source": "longmult"} | test | {"arg1": 5459, "arg2": 8917, "solution": 48677903} | [
"Let's think step by step.\n\nWe need to calculate: \n5459 × 8917\n\nI'll break it down:\n\nFirst, multiply 5459 by each digit of 8917 and add up the partial products (the standard long multiplication method):\n\n- **5** (ones place): \n 5459 × 7 = 38213\n\n- **1** (tens place): \n 5459 × 1 = 5459 → shift left... | [
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6746 x 1418 | 9565828 | 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?\n6746 x 1418\n\nGive your answer in the following format:\n<answer>\n(... | [] | [] | {"metadata": "{\"arg1\": 6746, \"arg2\": 1418, \"solution\": 9565828}", "task_source": "longmult"} | test | {"arg1": 6746, "arg2": 1418, "solution": 9565828} | [
"To solve 6746 × 1418:\n\nStep 1: Break 1418 into 1000 + 400 + 10 + 8 \nStep 2: Compute each partial product:\n- 6746 × 1000 = 6,746,000 \n- 6746 × 400 = (6746 × 4) × 100 = 26,984 × 100 = 2,698,400 \n- 6746 × 10 = 67,460 \n- 6746 × 8 = (6746 × 2) × 4 = 13,492 × 4 = 53,968 \n\nStep 3: Add all partial products:\... | [
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7827 x 9486 | 74246922 | 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?\n7827 x 9486\n\nGive your answer in the following format:\n<answer>\n(... | [] | [] | {"metadata": "{\"arg1\": 7827, \"arg2\": 9486, \"solution\": 74246922}", "task_source": "longmult"} | test | {"arg1": 7827, "arg2": 9486, "solution": 74246922} | [
"Let's think step by step.\n\nTo solve 7827 × 9486:\n\nFirst, break it down for easier calculation:\n\n7827 × 9486 = 7827 × (9000 + 400 + 80 + 6)\n\nCalculate each part:\n- 7827 × 9000 = 7827 × 9 × 1000 = 70,443 × 1000 = 70,443,000\n- 7827 × 400 = 7827 × 4 × 100 = 31,308 × 100 = 3,130,800\n- 7827 × 80 = 7827 × 8 × ... | [
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1103 x 3994 | 4405382 | 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?\n1103 x 3994\n\nGive your answer in the following format:\n<answer>\n(... | [] | [] | {"metadata": "{\"arg1\": 1103, \"arg2\": 3994, \"solution\": 4405382}", "task_source": "longmult"} | test | {"arg1": 1103, "arg2": 3994, "solution": 4405382} | [
"Let's solve the multiplication problem step by step:\n\n**Problem:** \n1103 × 3994\n\nFirst, rewrite 3994 as (4000 - 6):\n\nSo,\n1103 × 3994 = 1103 × (4000 - 6) \n= 1103 × 4000 - 1103 × 6\n\nNow calculate each part:\n- 1103 × 4000 = 1103 × 4 × 1000 = 4412 × 1000 = 4,412,000\n- 1103 × 6 = 6618\n\nNow subtract:\n4... | [
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