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 | model_responses__best_of_n list | model_responses__best_of_n__finish_reason_length_flags list | model_responses__best_of_n__length_partial_responses list | prompt__best_of_n__metadata dict | model_responses__best_of_n__metadata dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
664 x 590
Think step by step. | 391760 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n664 x 590\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 664, \"arg2\": 590, \"solution\": 391760}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem step-by-step using the standard method of long multiplication.\n\n### Step 1: Set up the multiplication.\nWe need to multiply two numbers: \\( 664 \\) and \\( 590 \\).\n\n```\n 664\n × 590\n _______\n```\n\n### Step 2: Multiply 664 by each digit in 590 from right... | [
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"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
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What is the solution to the long multiplication equation below?
162 x 224
Think step by step. | 36288 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n162 x 224\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 162, \"arg2\": 224, \"solution\": 36288}", "task_source": "longmult"} | [
"To solve \\( 162 \\times 224 \\), we can break it down into simpler multiplications using the distributive property of multiplication over addition.\n\n### Step-by-Step Solution:\n\n1. **Break down 224:**\n - Notice that \\( 224 = 200 + 20 + 4 \\).\n\n2. **Multiply each part by 162 separately and then add the re... | [
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"n_responses": 8
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What is the solution to the long multiplication equation below?
376 x 982
Think step by step. | 369232 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n376 x 982\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 376, \"arg2\": 982, \"solution\": 369232}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(376 \\times 982\\), we will break it down into smaller steps:\n\n1. **Multiply each digit of the first number (376) by each digit of the second number (982):**\n\n - Multiply 376 by 2:\n \\[\n 376 \\times 2 = 752\n \\]\n \n - Multiply 376 by 80 (which i... | [
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"n_responses": 8
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What is the solution to the long multiplication equation below?
452 x 548
Think step by step. | 247696 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n452 x 548\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 452, \"arg2\": 548, \"solution\": 247696}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\( 452 \\times 548 \\), we will follow these steps:\n\n1. **Set up the multiplication:**\n ```\n 452\n × 548\n _______\n ```\n\n2. **Multiply each digit of the top number (452) by the units digit of the bottom number (8):**\n\n - Multiply 452 by 8:\n `... | [
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"n_responses": 8
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What is the solution to the long multiplication equation below?
519 x 630
Think step by step. | 326970 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n519 x 630\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 519, \"arg2\": 630, \"solution\": 326970}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem using long multiplication.\n\n### Step-by-Step Solution:\n\n#### Step 1: Write down the numbers vertically.\n```\n 519\n × 630\n ___________\n```\n\n#### Step 2: Multiply 519 by 0 (the units digit of 630).\n```\n 519\n × 630\n _________\n 0 519\n```\n\... | [
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"n_responses": 8
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What is the solution to the long multiplication equation below?
223 x 751
Think step by step. | 167473 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n223 x 751\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 223, \"arg2\": 751, \"solution\": 167473}", "task_source": "longmult"} | [
"To solve \\( 223 \\times 751 \\) using long multiplication, follow these steps:\n\n### Step 1: Set up the problem\nWrite the numbers vertically:\n```\n 223\n × 751\n```\n\n### Step 2: Multiply each digit of the second number (751) by the first digit of the first number (2)\n- \\( 2 \\times 1 = 2 \\) (write ... | [
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"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 8
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What is the solution to the long multiplication equation below?
581 x 456
Think step by step. | 264936 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n581 x 456\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 581, \"arg2\": 456, \"solution\": 264936}", "task_source": "longmult"} | [
"To solve \\( 581 \\times 456 \\) using long multiplication:\n\nStep 1: Write down the numbers in columns:\n```\n 581\n× 456\n------\n```\n\nStep 2: Multiply each digit of the first number (581) by the units digit of the second number (6).\n```\n 3406\n```\nThis comes from \\( 581 \\times 6 = 3486 \\).\n\n... | [
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"n_responses": 8
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What is the solution to the long multiplication equation below?
928 x 156
Think step by step. | 144768 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n928 x 156\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 928, \"arg2\": 156, \"solution\": 144768}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem step by step using the standard method of long multiplication.\n\n### Step-by-Step Solution:\n\n#### 1. Set up the multiplication:\n```\n 928\n × 156\n ------\n```\n\n#### 2. Multiply 928 by 6 (the ones digit of 156):\n```\n 5568\n × 928\n ------\n 7... | [
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What is the solution to the long multiplication equation below?
108 x 679
Think step by step. | 73332 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n108 x 679\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 108, \"arg2\": 679, \"solution\": 73332}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem step-by-step:\n\n### Step 1: Write down the numbers\nWe have:\n- 108 (the multiplicand)\n- 679 (the multiplier)\n\n### Step 2: Multiply each digit of the multiplicand by the first digit of the multiplier\nFirst, multiply 108 by 6:\n```\n 108\n × 6\n _______\n 648\... | [
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"n_responses": 8
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What is the solution to the long multiplication equation below?
375 x 667
Think step by step. | 250125 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n375 x 667\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 375, \"arg2\": 667, \"solution\": 250125}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\( 375 \\times 667 \\), we will follow these steps:\n\n1. **Set up the multiplication**: Write down the numbers vertically, aligning them by place value.\n\n```\n 375\n× 667\n------\n```\n\n2. **Multiply each digit of the bottom number by the top number**:\n \n - ... | [
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What is the solution to the long multiplication equation below?
669 x 813
Think step by step. | 543897 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n669 x 813\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 669, \"arg2\": 813, \"solution\": 543897}", "task_source": "longmult"} | [
"To solve \\(669 \\times 813\\) using long multiplication, follow these steps:\n\n### Step 1: Set up the problem.\nWrite the numbers one under the other:\n```\n 669\n × 813\n-------------------\n```\n\n### Step 2: Multiply 669 by 3 (the ones digit of 813).\n- Multiply 669 by 3:\n ```\n 669\n× 3\n-----... | [
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What is the solution to the long multiplication equation below?
430 x 729
Think step by step. | 313470 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n430 x 729\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 430, \"arg2\": 729, \"solution\": 313470}", "task_source": "longmult"} | [
"Certainly! Let's solve the long multiplication problem \\(430 \\times 729\\) step by step.\n\n### Step 1: Break down the numbers into smaller parts.\nWe can break down the numbers as follows:\n- \\(430 = 400 + 30\\)\n- \\(729 = 700 + 20 + 9\\)\n\n### Step 2: Multiply each part of one number with each part of the o... | [
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What is the solution to the long multiplication equation below?
216 x 593
Think step by step. | 128088 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n216 x 593\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 216, \"arg2\": 593, \"solution\": 128088}", "task_source": "longmult"} | [
"To solve the multiplication problem \\(216 \\times 593\\), you can break it down into simpler steps using the distributive property of multiplication over addition:\n\nStep 1: Break down 593 into its place values.\n- \\(500\\) (thousands)\n- \\(90\\) (tens)\n- \\(3\\) (ones)\n\nSo, \\(593 = 500 + 90 + 3\\).\n\nSte... | [
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What is the solution to the long multiplication equation below?
583 x 976
Think step by step. | 569008 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n583 x 976\n\nThink step by step.",
"role": "user"
}
] | [] | [] | {"metadata": "{\"arg1\": 583, \"arg2\": 976, \"solution\": 569008}", "task_source": "longmult"} | [
"Certainly! Let's solve this long multiplication problem step by step:\n\n1) First, let's set up our numbers:\n 583\n x 976\n\n2) We'll start multiplying from the rightmost digit of both numbers and work our way left.\n\n3) Multiply 583 by 6 (the ones place in 976):\n 583 x 6 = 3498\n\n4) Write down 8 and car... | [
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What is the solution to the long multiplication equation below?
941 x 797
Think step by step. | 749977 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n941 x 797\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 941, \"arg2\": 797, \"solution\": 749977}", "task_source": "longmult"} | [
"Certainly! Let's solve the problem of multiplying 941 by 797 using long multiplication.\n\n### Step-by-Step Solution:\n\n#### First Multiplication:\nMultiply 941 by 7 (the ones digit of 797):\n```\n 941\n × 7\n-----------------\n 6587\n```\n\n#### Second Multiplication:\nNow multiply 941 by 90 (the te... | [
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What is the solution to the long multiplication equation below?
490 x 904
Think step by step. | 442960 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n490 x 904\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 490, \"arg2\": 904, \"solution\": 442960}", "task_source": "longmult"} | [
"To solve \\( 490 \\times 904 \\), we can break it down into simpler multiplications:\n\n1. **Breakdown of Multiplication**:\n - First, multiply 490 by 4.\n - Then, multiply 490 by 90.\n\n2. **Multiplying 490 by 4**:\n \\[\n 490 \\times 4 = 1960\n \\]\n\n3. **Multiplying 490 by 90**:\n \\[\n 490 \\tim... | [
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What is the solution to the long multiplication equation below?
170 x 938
Think step by step. | 159460 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n170 x 938\n\nThink step by step.",
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"To solve \\( 170 \\times 938 \\) using long multiplication, follow these steps:\n\n### Step 1: Set up the problem\nWrite down the numbers vertically:\n```\n 170\n × 938\n```\n\n### Step 2: Multiply each digit of the second number (938) by the first digit of the first number (1)\n- First, multiply 170 by 8:\n... | [
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What is the solution to the long multiplication equation below?
533 x 668
Think step by step. | 356044 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n533 x 668\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 533, \"arg2\": 668, \"solution\": 356044}", "task_source": "longmult"} | [
"To solve the long multiplication of \\(533 \\times 668\\), we will follow these steps:\n\n1. **Set up the problem:**\n ```\n 533\n × 668\n ```\n\n2. **Multiply each digit of 668 by the units place of 533 (which is 3):**\n - \\(3 \\times 8 = 24\\) Write down 4 and carry over 2.\n - \\(3 \\times 6 + 2... | [
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What is the solution to the long multiplication equation below?
711 x 158
Think step by step. | 112338 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n711 x 158\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 711, \"arg2\": 158, \"solution\": 112338}", "task_source": "longmult"} | [
"Certainly! Let's solve the multiplication problem \\( 711 \\times 158 \\) step by step.\n\n### Step-by-Step Solution:\n\n#### Step 1: Break down the numbers into parts for easier calculation.\nWe can break down each number:\n- \\( 711 = 700 + 10 + 1 \\)\n- \\( 158 = 100 + 50 + 8 \\)\n\nSo, we need to calculate:\n\... | [
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What is the solution to the long multiplication equation below?
920 x 686
Think step by step. | 631120 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n920 x 686\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 920, \"arg2\": 686, \"solution\": 631120}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(920 \\times 686\\), we will break it down into manageable steps:\n\n1. **Breakdown of the Multiplication:**\n - First, multiply \\(920\\) by \\(6\\).\n - Then, multiply \\(920\\) by \\(80\\) (which is \\(686\\) minus \\(64\\)).\n - Finally, add these two results to... | [
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What is the solution to the long multiplication equation below?
675 x 437
Think step by step. | 294975 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n675 x 437\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 675, \"arg2\": 437, \"solution\": 294975}", "task_source": "longmult"} | [
"To solve \\(675 \\times 437\\) using long multiplication, follow these steps:\n\n1. **Set up the problem:**\n ```\n 675\n × 437\n ```\n\n2. **Multiply 675 by 7 (the rightmost digit of 437):**\n - Multiply 675 by 7:\n ```\n 675\n × 7\n _______\n 4725\n ```\n - Write do... | [
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What is the solution to the long multiplication equation below?
797 x 490
Think step by step. | 390530 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n797 x 490\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 797, \"arg2\": 490, \"solution\": 390530}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(797 \\times 490\\), we'll break it down into manageable steps and multiply each digit of 797 by each digit of 490, then add up all the results.\n\n### Step-by-Step Solution:\n\n1. **Multiply 797 by 0 (the rightmost digit of 490):**\n - Since multiplying any number by 0... | [
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What is the solution to the long multiplication equation below?
244 x 309
Think step by step. | 75396 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n244 x 309\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 244, \"arg2\": 309, \"solution\": 75396}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem step by step.\n\n1. **Write down the numbers:**\n \\[\n \\begin{array}{c@{}c}\n & 244 \\\\\n \\times & 309 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit of the top number (244) by the units digit of the bottom number (9):**\n - \\(2 \\times 9 = 18\\)\n ... | [
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What is the solution to the long multiplication equation below?
244 x 875
Think step by step. | 213500 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n244 x 875\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 244, \"arg2\": 875, \"solution\": 213500}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(244 \\times 875\\), we will break it down into smaller steps using the distributive property of multiplication over addition.\n\n1. **Break down the numbers:**\n - \\(244\\) can be broken into \\(200 + 40 + 4\\).\n - \\(875\\) can be broken into \\(800 + 70 + 5\\).\n... | [
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What is the solution to the long multiplication equation below?
982 x 859
Think step by step. | 843538 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n982 x 859\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 982, \"arg2\": 859, \"solution\": 843538}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\( 982 \\times 859 \\), we will follow these steps:\n\n1. **Set up the multiplication:**\n ```\n 982\n × 859\n ```\n\n2. **Multiply 982 by 9 (the units digit of 859):**\n - Multiply 982 by 9:\n ```\n 982\n × 9\n -------\n 8838\n ``... | [
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What is the solution to the long multiplication equation below?
209 x 342
Think step by step. | 71478 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n209 x 342\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 209, \"arg2\": 342, \"solution\": 71478}", "task_source": "longmult"} | [
"Certainly! Let's solve the long multiplication problem \\( 209 \\times 342 \\) step by step.\n\n### Step 1: Set up the multiplication\n```\n 209\n × 342\n-------------------\n```\n\n### Step 2: Multiply 209 by 2 (the units digit of 342)\n```\n 209\n × 2\n-------------------\n 418\n```\nThe... | [
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What is the solution to the long multiplication equation below?
167 x 215
Think step by step. | 35905 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n167 x 215\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 167, \"arg2\": 215, \"solution\": 35905}", "task_source": "longmult"} | [
"To solve the long multiplication of 167 x 215, follow these steps:\n\n### Step-by-Step Solution:\n\n#### Step 1: Multiply each digit of 167 by the units digit of 215.\n- First, multiply 167 by 5 (the units digit of 215):\n \\[\n 167 \\times 5 = 835\n \\]\n\n#### Step 2: Multiply each digit of 167 by the tens di... | [
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What is the solution to the long multiplication equation below?
385 x 991
Think step by step. | 381535 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n385 x 991\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 385, \"arg2\": 991, \"solution\": 381535}", "task_source": "longmult"} | [
"Certainly! Let's solve the problem of multiplying 385 by 991 using the standard algorithm for long multiplication.\n\n### Step-by-Step Solution:\n\n#### Step 1: Set up the multiplication\n```\n 385\n × 991\n```\n\n#### Step 2: Multiply 385 by 1 (the rightmost digit of 991)\n```\n 385\n × 991... | [
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What is the solution to the long multiplication equation below?
680 x 972
Think step by step. | 660960 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n680 x 972\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 680, \"arg2\": 972, \"solution\": 660960}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem using long multiplication method.\n\n1) First, let's write down the numbers we're multiplying:\n 680\n * 972\n-------\n\n2) Now, we'll multiply each digit of the second number (972) by each digit of the first number (680), starting from the rightmost digit and moving left.\n\n... | [
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What is the solution to the long multiplication equation below?
873 x 515
Think step by step. | 449595 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n873 x 515\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 873, \"arg2\": 515, \"solution\": 449595}", "task_source": "longmult"} | [
"Certainly! Let's solve this long multiplication problem step by step:\n\n### Step 1: Set up the multiplication\nWe have:\n```\n 873\n × 515\n```\n\n### Step 2: Multiply 873 by each digit of 515 separately\n#### First column (ones place)\n- \\( 8 \\times 5 = 40 \\) \n- Write down 0 and carry over 4.\n\n####... | [
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What is the solution to the long multiplication equation below?
354 x 179
Think step by step. | 63366 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n354 x 179\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 354, \"arg2\": 179, \"solution\": 63366}", "task_source": "longmult"} | [
"To solve the long multiplication of \\(354 \\times 179\\), we'll break it down into steps similar to how you would multiply numbers in your head.\n\n### Step-by-Step Solution:\n\n#### Step 1: Break Down Multiplication\nFirst, let's break down the problem:\n\\[354 \\times 179 = (300 + 50 + 4) \\times (200 + 70 + 9)... | [
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What is the solution to the long multiplication equation below?
941 x 922
Think step by step. | 867602 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n941 x 922\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 941, \"arg2\": 922, \"solution\": 867602}", "task_source": "longmult"} | [
"To solve the multiplication problem \\( 941 \\times 922 \\), we can break it down into simpler steps:\n\n### Step 1: Break Down the Multiplication\nFirst, let's separate the numbers into smaller parts:\n- \\( 941 = 900 + 40 + 1 \\)\n- \\( 922 = 900 + 20 + 2 \\)\n\nSo, \\( 941 \\times 922 = (900 + 40 + 1) \\times (... | [
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What is the solution to the long multiplication equation below?
878 x 334
Think step by step. | 293252 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n878 x 334\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 878, \"arg2\": 334, \"solution\": 293252}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem step by step using long multiplication.\n\n### Step 1: Set up the multiplication\nWe need to multiply \\( 878 \\) by \\( 334 \\). We will do this by multiplying each digit of \\( 878 \\) by each digit of \\( 334 \\).\n\n### Step 2: Multiply 878 by 4 (the units digit of 334)\n```... | [
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What is the solution to the long multiplication equation below?
259 x 186
Think step by step. | 48174 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n259 x 186\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 259, \"arg2\": 186, \"solution\": 48174}", "task_source": "longmult"} | [
"Certainly! Let's solve this long multiplication problem step by step.\n\nGiven: \n\\[ 259 \\times 186 \\]\n\n### Step 1: Multiply 259 by 6 (the ones digit of 186)\n\\[ 259 \\times 6 = 1554 \\]\nSo, we write down 4 and carry over 15 to the tens column.\n\n### Step 2: Multiply 259 by 10 (the tens digit of 186) and a... | [
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What is the solution to the long multiplication equation below?
761 x 335
Think step by step. | 254935 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n761 x 335\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 761, \"arg2\": 335, \"solution\": 254935}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(761 \\times 335\\), we will follow these steps:\n\n### Step 1: Break down the numbers into smaller parts for easier calculation.\n- First, break down 335 as \\(300 + 30 + 5\\).\n \n### Step 2: Multiply each part of 335 by 761.\n\n#### Part 1: \\(761 \\times 300\\)\n- Ca... | [
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What is the solution to the long multiplication equation below?
285 x 453
Think step by step. | 129105 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n285 x 453\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 285, \"arg2\": 453, \"solution\": 129105}", "task_source": "longmult"} | [
"To solve the long multiplication of 285 and 453, follow these steps:\n\n1. **Write down the numbers**: Set up the multiplication as follows:\n ```\n 285\n x 453\n ```\n\n2. **Multiply 285 by 3** (the ones digit of 453):\n - 5 x 3 = 15 (write down 5)\n - 8 x 3 = 24 (carry over 2) -> write down 4\n -... | [
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What is the solution to the long multiplication equation below?
221 x 288
Think step by step. | 63648 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n221 x 288\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 221, \"arg2\": 288, \"solution\": 63648}", "task_source": "longmult"} | [
"To solve the long multiplication problem of \\(221 \\times 288\\), we'll follow these steps:\n\n### Step 1: Break down the numbers into their place values.\n- **221** can be broken down as:\n - 200 (hundreds)\n - 20 (tens)\n - 1 (ones)\n\n- **288** can be broken down as:\n - 200 (hundreds)\n - 80 (tens)\n - ... | [
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What is the solution to the long multiplication equation below?
298 x 486
Think step by step. | 144828 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n298 x 486\n\nThink step by step.",
"role": "user"
}
] | [] | [] | {"metadata": "{\"arg1\": 298, \"arg2\": 486, \"solution\": 144828}", "task_source": "longmult"} | [
"To solve the long multiplication of \\(298 \\times 486\\), let's break it down into manageable steps:\n\n### Step 1: Multiply 298 by 6 (the units digit of 486)\n\\[ 298 \\times 6 = 1788 \\]\nWrite this result under the first row.\n\n### Step 2: Multiply 298 by 80 (the tens digit of 486, which is 8 times 10)\n\\[ 2... | [
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What is the solution to the long multiplication equation below?
826 x 603
Think step by step. | 498078 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n826 x 603\n\nThink step by step.",
"role": "user"
}
] | [] | [] | {"metadata": "{\"arg1\": 826, \"arg2\": 603, \"solution\": 498078}", "task_source": "longmult"} | [
"To solve \\( 826 \\times 603 \\) using long multiplication, follow these steps:\n\n1. **Set up the problem:**\n ```\n 826\n × 603\n ```\n\n2. **Multiply each digit of the top number by the first digit of the bottom number (6):**\n - Multiply 826 by 3:\n ```\n 826\n × 3\n ... | [
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What is the solution to the long multiplication equation below?
986 x 320
Think step by step. | 315520 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n986 x 320\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 986, \"arg2\": 320, \"solution\": 315520}", "task_source": "longmult"} | [
"Sure! Let's solve this step by step.\n\n### Step 1: Break down the problem into smaller parts.\nFirst, let's break down \\(986 \\times 320\\) into smaller multiplications:\n- \\(986 \\times 3\\)\n- \\(986 \\times 20\\)\n\nWe'll do these two parts first and then multiply the results together.\n\n### Step 2: Multipl... | [
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What is the solution to the long multiplication equation below?
629 x 941
Think step by step. | 591889 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n629 x 941\n\nThink step by step.",
"role": "user"
}
] | [] | [] | {"metadata": "{\"arg1\": 629, \"arg2\": 941, \"solution\": 591889}", "task_source": "longmult"} | [
"To solve the multiplication problem \\(629 \\times 941\\), we'll break it down into simpler steps:\n\n### Step-by-Step Solution:\n\n#### Step 1: Break down the numbers.\n- \\(629\\) can be broken into \\(600 + 20 + 9\\).\n- \\(941\\) can be broken into \\(900 + 40 + 1\\).\n\nSo, our original multiplication becomes... | [
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What is the solution to the long multiplication equation below?
373 x 263
Think step by step. | 98099 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n373 x 263\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 373, \"arg2\": 263, \"solution\": 98099}", "task_source": "longmult"} | [
"Certainly! Let's solve the long multiplication problem \\(373 \\times 263\\) step by step.\n\n### Step-by-Step Solution:\n\n#### Step 1: Set up the multiplication.\n```\n 373\n × 263\n _______\n```\n\n#### Step 2: Multiply each digit of 373 by 3 (the units place in 263).\n```\n 373\n × ... | [
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What is the solution to the long multiplication equation below?
733 x 539
Think step by step. | 395087 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n733 x 539\n\nThink step by step.",
"role": "user"
}
] | [] | [] | {"metadata": "{\"arg1\": 733, \"arg2\": 539, \"solution\": 395087}", "task_source": "longmult"} | [
"To solve the long multiplication of \\(733 \\times 539\\), we'll follow these steps:\n\n1. **Set up the problem**: Write the numbers one under the other, aligning them by place value.\n\n```\n 733\n × 539\n ------\n```\n\n2. **Multiply each digit of the bottom number by the top number**:\n \n - Multip... | [
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What is the solution to the long multiplication equation below?
402 x 851
Think step by step. | 342102 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n402 x 851\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 402, \"arg2\": 851, \"solution\": 342102}", "task_source": "longmult"} | [
"To solve \\(402 \\times 851\\) using long multiplication, we follow these steps:\n\n### Step-by-Step Long Multiplication:\n\n1. **Set up the problem:**\n ```\n 402\n × 851\n _______\n ```\n\n2. **Multiply each digit of the bottom number by the top number:**\n\n - First, multiply 402 by 1 (the righ... | [
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What is the solution to the long multiplication equation below?
238 x 592
Think step by step. | 140896 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n238 x 592\n\nThink step by step.",
"role": "user"
}
] | [] | [] | {"metadata": "{\"arg1\": 238, \"arg2\": 592, \"solution\": 140896}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\( 238 \\times 592 \\), we will follow these steps:\n\n1. **Write down the numbers in columns:**\n ```\n 238\n × 592\n ------\n ```\n\n2. **Multiply each digit of the second number (592) with the first digit of the first number (2):**\n - First, multiply 2 b... | [
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What is the solution to the long multiplication equation below?
374 x 597
Think step by step. | 223278 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n374 x 597\n\nThink step by step.",
"role": "user"
}
] | [] | [] | {"metadata": "{\"arg1\": 374, \"arg2\": 597, \"solution\": 223278}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem step-by-step.\n\n### Step 1: Understand the Multiplication\nWe need to multiply two numbers:\n- The first number is \\(374\\)\n- The second number is \\(597\\)\n\n### Step 2: Set Up the Grid (Long Multiplication Method)\nLet's set up our grid:\n\n```\n 374\n × 597\n--... | [
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What is the solution to the long multiplication equation below?
273 x 700
Think step by step. | 191100 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n273 x 700\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 273, \"arg2\": 700, \"solution\": 191100}", "task_source": "longmult"} | [
"To solve \\( 273 \\times 700 \\), let's break it down into manageable steps:\n\n### Step 1: Understand the Problem\nWe need to multiply two numbers: 273 and 700.\n\n### Step 2: Break Down the Multiplication\nFirst, consider the number 700 as \\( 7 \\times 100 \\). This allows us to use simpler multiplications:\n\\... | [
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What is the solution to the long multiplication equation below?
139 x 650
Think step by step. | 90350 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n139 x 650\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 139, \"arg2\": 650, \"solution\": 90350}", "task_source": "longmult"} | [
"To solve \\(139 \\times 650\\) using long multiplication, follow these steps:\n\n### Step 1: Write down the numbers\nWrite down 139 and 650 in their expanded form.\n\n- 139 = 100 + 30 + 9\n- 650 = 600 + 50 + 0\n\n### Step 2: Multiply each digit of the bottom number by each digit of the top number from right to lef... | [
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What is the solution to the long multiplication equation below?
625 x 176
Think step by step. | 110000 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n625 x 176\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 625, \"arg2\": 176, \"solution\": 110000}", "task_source": "longmult"} | [
"To solve the long multiplication of 625 and 176, we will follow these steps:\n\n### Step-by-Step Solution:\n\n1. **Set up the multiplication:**\n ```\n 625\n * 176\n ------\n```\n\n2. **Multiply each digit of 625 by 6 (the units place of 176):**\n - \\(6 \\times 5 = 30\\)\n - Write down 0 in the units... | [
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What is the solution to the long multiplication equation below?
593 x 153
Think step by step. | 90729 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n593 x 153\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 593, \"arg2\": 153, \"solution\": 90729}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(593 \\times 153\\), we will break it down into smaller steps and perform each multiplication individually before summing up the results.\n\n### Step-by-Step Solution:\n\n#### 1. Multiply 593 by 3 (the units digit of 153):\n\n\\[\n593 \\times 3 = 1779\n\\]\n\n#### 2. Mult... | [
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What is the solution to the long multiplication equation below?
287 x 216
Think step by step. | 61992 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n287 x 216\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 287, \"arg2\": 216, \"solution\": 61992}", "task_source": "longmult"} | [
"Certainly! Let's solve this long multiplication problem step by step:\n\n### Step 1: Multiply the units digit of both numbers.\n- The units digits in \\(287\\) and \\(216\\) are \\(7\\) and \\(6\\), respectively.\n- Multiply these together:\n \\[\n 7 \\times 6 = 42\n \\]\n- Write down \\(2\\) (from \\(42\\)) as... | [
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What is the solution to the long multiplication equation below?
736 x 704
Think step by step. | 518144 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n736 x 704\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 736, \"arg2\": 704, \"solution\": 518144}", "task_source": "longmult"} | [
"To solve \\( 736 \\times 704 \\) using long multiplication:\n\n1. **Set up the problem:**\n ```\n 736\n × 704\n ------\n ```\n\n2. **Multiply each digit of the first number by the rightmost digit of the second number:**\n\n - Multiply 736 by 4:\n ```\n 736\n × 4\n ------\n ... | [
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What is the solution to the long multiplication equation below?
930 x 238
Think step by step. | 221340 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n930 x 238\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 930, \"arg2\": 238, \"solution\": 221340}", "task_source": "longmult"} | [
"To solve the multiplication problem \\(930 \\times 238\\), we can break it down into smaller steps using the distributive property of multiplication over addition.\n\n### Step-by-Step Solution:\n\n1. **Break down the numbers:**\n - Split \\(930\\) and \\(238\\) into their components:\n \\[\n 930 = 900 + ... | [
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What is the solution to the long multiplication equation below?
991 x 971
Think step by step. | 962261 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n991 x 971\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 991, \"arg2\": 971, \"solution\": 962261}", "task_source": "longmult"} | [
"Certainly! Let's solve this step by step.\n\n### Step 1: Understand the Problem\nWe need to multiply two numbers:\n\\[ 991 \\times 971 \\]\n\n### Step 2: Break Down the Numbers\nBreak down each number into its components for easier calculation.\n- \\( 991 = 1000 - 89 \\)\n- \\( 971 = 1000 - 29 \\)\n\n### Step 3: U... | [
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What is the solution to the long multiplication equation below?
241 x 720
Think step by step. | 173520 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n241 x 720\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 241, \"arg2\": 720, \"solution\": 173520}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(241 \\times 720\\), we'll follow these steps:\n\n### Step-by-Step Solution:\n\n#### Step 1: Set up the multiplication as a grid.\n```\n 241\n × 720\n-----------------\n```\n\n#### Step 2: Multiply each digit of 241 by 0 in the units column (which gives us 0).\n`... | [
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What is the solution to the long multiplication equation below?
890 x 662
Think step by step. | 589180 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n890 x 662\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 890, \"arg2\": 662, \"solution\": 589180}", "task_source": "longmult"} | [
"To solve \\( 890 \\times 662 \\) using long multiplication:\n\n1. **Set up the problem**: Write the numbers one under the other, aligning them vertically:\n ```\n 890\n × 662\n ------\n ```\n\n2. **Multiply each digit of the bottom number by the top number**:\n - Multiply 890 by 2 (the units digit o... | [
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What is the solution to the long multiplication equation below?
694 x 203
Think step by step. | 140882 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n694 x 203\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 694, \"arg2\": 203, \"solution\": 140882}", "task_source": "longmult"} | [
"Certainly! Let's solve the multiplication problem \\(694 \\times 203\\) step by step.\n\n### Step 1: Break down the numbers into easier parts.\n- First, break down the number 694 into its digits:\n - \\(600\\)\n - \\(90\\)\n - \\(4\\)\n\n- Similarly, break down the number 203 into its digits:\n - \\(200\\)\n ... | [
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What is the solution to the long multiplication equation below?
554 x 215
Think step by step. | 119110 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n554 x 215\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 554, \"arg2\": 215, \"solution\": 119110}", "task_source": "longmult"} | [
"Certainly! Let's solve this long multiplication problem step by step.\n\n### Step 1: Set up the multiplication.\n```\n 554\nx 215\n------\n```\n\n### Step 2: Multiply each digit of the top number (554) by the units digit of the bottom number (5).\n```\n 554\nx 15\n-----\n 7770\n```\nSo far we have:\n... | [
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What is the solution to the long multiplication equation below?
633 x 742
Think step by step. | 469686 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n633 x 742\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 633, \"arg2\": 742, \"solution\": 469686}", "task_source": "longmult"} | [
"To solve the long multiplication of \\( 633 \\times 742 \\), we will break it down into manageable steps and perform each multiplication individually before adding them together.\n\n### Step-by-Step Solution:\n\n1. **Break down the numbers:**\n - First, let's separate the numbers:\n - \\( 633 = 600 + 30 + 3 ... | [
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What is the solution to the long multiplication equation below?
146 x 348
Think step by step. | 50808 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n146 x 348\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 146, \"arg2\": 348, \"solution\": 50808}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(146 \\times 348\\), we'll break it down into manageable steps:\n\n### Step 1: Set up the multiplication as a grid.\n```\n 146\n × 348\n _______\n```\n\n### Step 2: Multiply each digit of 146 by the units digit (8) of 348 and write the results in their respecti... | [
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What is the solution to the long multiplication equation below?
401 x 432
Think step by step. | 173232 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n401 x 432\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 401, \"arg2\": 432, \"solution\": 173232}", "task_source": "longmult"} | [
"Certainly! Let's solve the problem of multiplying \\( 401 \\times 432 \\) step-by-step.\n\n### Step 1: Break down the numbers into parts for easier calculation.\nWe can break \\( 401 \\) and \\( 432 \\) into simpler parts:\n- \\( 401 = 400 + 1 \\)\n- \\( 432 = 400 + 30 + 2 \\)\n\n### Step 2: Multiply each part of ... | [
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What is the solution to the long multiplication equation below?
912 x 649
Think step by step. | 591888 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n912 x 649\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 912, \"arg2\": 649, \"solution\": 591888}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\( 912 \\times 649 \\), we'll follow these steps:\n\n### Step-by-Step Solution:\n\n#### Step 1: Multiply 912 by 9 (the units digit of 649)\n- Multiply 912 by 9:\n \\[\n 912 \\times 9 = 8208\n \\]\n\n#### Step 2: Multiply 912 by 40 (the tens digit of 649, which is 4 * 10... | [
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What is the solution to the long multiplication equation below?
346 x 296
Think step by step. | 102416 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n346 x 296\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 346, \"arg2\": 296, \"solution\": 102416}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(346 \\times 296\\), we will follow these steps:\n\n1. **Set up the multiplication**: Write down the numbers one under the other, aligning them vertically by place value.\n\n ```\n 346\n × 296\n ```\n\n2. **Multiply each digit of the bottom number by the top num... | [
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What is the solution to the long multiplication equation below?
171 x 892
Think step by step. | 152532 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n171 x 892\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 171, \"arg2\": 892, \"solution\": 152532}", "task_source": "longmult"} | [
"Certainly! Let's solve this step-by-step:\n\n### Step 1: Break down the numbers into parts.\nFirst, let's break down the numbers:\n- \\(171\\) can be broken down into \\(100 + 70 + 1\\)\n- \\(892\\) can be broken down into \\(800 + 90 + 2\\)\n\n### Step 2: Multiply each part of the first number by each part of the... | [
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What is the solution to the long multiplication equation below?
121 x 212
Think step by step. | 25652 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n121 x 212\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 121, \"arg2\": 212, \"solution\": 25652}", "task_source": "longmult"} | [
"Certainly! Let's solve the multiplication problem \\(121 \\times 212\\) step-by-step.\n\n### Step 1: Break down the numbers into easier parts.\nFirst, let’s break down each number into tens and units:\n- \\(121 = 100 + 20 + 1\\)\n- \\(212 = 200 + 10 + 2\\)\n\n### Step 2: Multiply each part of one number by each pa... | [
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What is the solution to the long multiplication equation below?
249 x 989
Think step by step. | 246261 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n249 x 989\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 249, \"arg2\": 989, \"solution\": 246261}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(249 \\times 989\\), we will follow the standard algorithm for multiplying numbers with multiple digits. Here's how you can do it step by step:\n\n1. **Write down the numbers**: \n ```\n 249\n × 989\n ```\n\n2. **Multiply each digit of the bottom number (989... | [
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What is the solution to the long multiplication equation below?
757 x 138
Think step by step. | 104466 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n757 x 138\n\nThink step by step.",
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"To solve the long multiplication of 757 and 138, we will break it down into simpler steps:\n\n### Step 1: Break Down Multiplication into Smaller Parts\nFirst, let's multiply 757 by 10 first (since 10 * 138 = 1380).\n\n#### Multiplying 757 by 10:\n\\[ 757 \\times 10 = 7570 \\]\n\n### Step 2: Multiply 757 by 30 (whi... | [
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What is the solution to the long multiplication equation below?
749 x 471
Think step by step. | 352779 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n749 x 471\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 749, \"arg2\": 471, \"solution\": 352779}", "task_source": "longmult"} | [
"Certainly! Let's solve the long multiplication problem \\( 749 \\times 471 \\) step by step.\n\n### Step 1: Set up the multiplication\n\n\\[\n\\begin{array}{c@{}c@{}c}\n& 7 & 4 & 9 \\\\\n\\times & 4 & 7 & 1 \\\\\n\\end{array}\n\\]\n\n### Step 2: Multiply 749 by 1 (the rightmost digit of 471)\n\n\\[\n\\begin{array}... | [
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What is the solution to the long multiplication equation below?
367 x 901
Think step by step. | 330667 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n367 x 901\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 367, \"arg2\": 901, \"solution\": 330667}", "task_source": "longmult"} | [
"Certainly! Let's solve the long multiplication of \\(367 \\times 901\\) step by step.\n\n### Step-by-Step Solution:\n\n#### Step 1: Set up the problem\nWe need to multiply 367 by 901. We'll use the standard long multiplication method for this.\n\n```\n 367\n × 901\n _______\n```\n\n#### Step 2: Mult... | [
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What is the solution to the long multiplication equation below?
698 x 211
Think step by step. | 147278 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n698 x 211\n\nThink step by step.",
"role": "user"
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"Certainly! Let's solve this problem step-by-step:\n\n### Step 1: Understand the Problem\nWe need to multiply two numbers:\n- First number: 698\n- Second number: 211\n\n### Step 2: Set Up the Multiplication\nWrite down 698 and 211 vertically as follows:\n\n```\n 698\n × 211\n```\n\n### Step 3: Multiply Each D... | [
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What is the solution to the long multiplication equation below?
923 x 812
Think step by step. | 749476 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n923 x 812\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 923, \"arg2\": 812, \"solution\": 749476}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem step by step.\n\n### Step 1: Understand the Problem\nWe need to multiply two numbers:\n\\[ 923 \\times 812 \\]\n\n### Step 2: Break Down Each Number into Smaller Parts\nLet’s break down each number:\n- \\( 923 = 900 + 20 + 3 \\)\n- \\( 812 = 800 + 10 + 2 \\)\n\n### Step 3: Multi... | [
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What is the solution to the long multiplication equation below?
686 x 996
Think step by step. | 683256 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n686 x 996\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 686, \"arg2\": 996, \"solution\": 683256}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\( 686 \\times 996 \\), we will break it down into smaller steps and multiply each digit of the second number by each digit of the first number, then add all the results together.\n\n### Step-by-Step Solution:\n\n1. **Multiply 686 by 900 (the hundreds place of 996):**\n ... | [
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What is the solution to the long multiplication equation below?
890 x 941
Think step by step. | 837490 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n890 x 941\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 890, \"arg2\": 941, \"solution\": 837490}", "task_source": "longmult"} | [
"To solve \\(890 \\times 941\\), we can break it down into simpler steps using the distributive property of multiplication over addition.\n\nFirst, let's write out the numbers in expanded form:\n\\[890 = 800 + 90\\]\n\\[941 = 900 + 40 + 1\\]\n\nNow, distribute each part of one number across both parts of the other ... | [
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What is the solution to the long multiplication equation below?
566 x 270
Think step by step. | 152820 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n566 x 270\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 566, \"arg2\": 270, \"solution\": 152820}", "task_source": "longmult"} | [
"Certainly! Let's solve this long multiplication problem step by step:\n\n1) First, we multiply each digit of 566 by 0 (the units place of 270):\n 566 * 0 = 0\n Write down this result.\n\n2) Next, we move to the tens place of 270:\n 566 * 7 = 3962\n Write down 396 in the tens column and carry over 96.\n\n3)... | [
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What is the solution to the long multiplication equation below?
165 x 163
Think step by step. | 26895 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n165 x 163\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 165, \"arg2\": 163, \"solution\": 26895}", "task_source": "longmult"} | [
"Certainly! Let's solve the multiplication problem \\( 165 \\times 163 \\) step by step.\n\n### Step 1: Break down the numbers\nFirst, let's break down the numbers into smaller parts for easier calculation:\n- \\( 165 = 100 + 60 + 5 \\)\n- \\( 163 = 100 + 60 - 7 \\)\n\n### Step 2: Use distributive property\nWe can ... | [
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What is the solution to the long multiplication equation below?
655 x 666
Think step by step. | 436230 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n655 x 666\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 655, \"arg2\": 666, \"solution\": 436230}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\( 655 \\times 666 \\), we will follow these steps:\n\n### Step 1: Set up the multiplication.\nWrite down the numbers one under the other:\n```\n 655\n × 666\n```\n\n### Step 2: Multiply each digit of the bottom number by the top number.\n\n#### First row (0th place)... | [
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What is the solution to the long multiplication equation below?
669 x 607
Think step by step. | 406083 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n669 x 607\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 669, \"arg2\": 607, \"solution\": 406083}", "task_source": "longmult"} | [
"Certainly! Let's solve the long multiplication problem \\( 669 \\times 607 \\) step by step.\n\n### Step-by-Step Solution:\n\n1. **Set up the multiplication:**\n ```\n 669\n × 607\n ```\n\n2. **Multiply 669 by 7 (the units digit of 607):**\n - Multiply each digit of 669 by 7:\n - \\( 6 \\times 7 =... | [
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What is the solution to the long multiplication equation below?
646 x 107
Think step by step. | 69122 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n646 x 107\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 646, \"arg2\": 107, \"solution\": 69122}", "task_source": "longmult"} | [
"To solve \\( 646 \\times 107 \\) using long multiplication, follow these steps:\n\n1. **Set up the multiplication:**\n ```\n 646\n × 107\n ```\n\n2. **Multiply each digit of 646 by the units place of 107 (which is 7):**\n - \\( 646 \\times 7 = 4522 \\)\n Write down this result as it is:\n ```\n ... | [
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What is the solution to the long multiplication equation below?
536 x 870
Think step by step. | 466320 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n536 x 870\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 536, \"arg2\": 870, \"solution\": 466320}", "task_source": "longmult"} | [
"To solve the long multiplication of 536 and 870, we follow these steps:\n\n1) First, multiply each digit of 536 by 0 (the rightmost digit of 870):\n - \\( 536 \\times 0 = 0 \\)\n \n2) Next, multiply each digit of 536 by 7 (the next digit from the right in 870):\n - \\( 536 \\times 7 = 3752 \\)\n So write d... | [
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What is the solution to the long multiplication equation below?
124 x 570
Think step by step. | 70680 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n124 x 570\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 124, \"arg2\": 570, \"solution\": 70680}", "task_source": "longmult"} | [
"Certainly! Let's solve this step-by-step:\n\n### Step 1: Break down the numbers into easier parts.\nWe can break down the problem as follows:\n- \\(124\\) becomes \\(100 + 20 + 4\\)\n- \\(570\\) becomes \\(500 + 70\\)\n\nSo, \\(124 \\times 570 = (100 + 20 + 4) \\times (500 + 70)\\).\n\n### Step 2: Apply the distri... | [
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What is the solution to the long multiplication equation below?
524 x 763
Think step by step. | 399812 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n524 x 763\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 524, \"arg2\": 763, \"solution\": 399812}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(524 \\times 763\\), we'll break it down into manageable steps:\n\n1. **Multiply 524 by 3 (the units digit of 763):**\n - \\(524 \\times 3 = 1572\\)\n \n2. **Multiply 524 by 60 (the tens digit of 763) and remember to shift one place to the left:**\n - First, calcula... | [
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What is the solution to the long multiplication equation below?
978 x 189
Think step by step. | 184842 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n978 x 189\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 978, \"arg2\": 189, \"solution\": 184842}", "task_source": "longmult"} | [
"Certainly! Let's solve the long multiplication problem \\(978 \\times 189\\) step by step.\n\n### Step-by-Step Solution:\n\n#### First, let's write out the numbers we're multiplying:\n```\n 978\n × 189\n```\n\n#### Now, let's break down the multiplication into smaller parts using the distributive property of... | [
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What is the solution to the long multiplication equation below?
134 x 535
Think step by step. | 71690 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n134 x 535\n\nThink step by step.",
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What is the solution to the long multiplication equation below?
775 x 152
Think step by step. | 117800 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n775 x 152\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 775, \"arg2\": 152, \"solution\": 117800}", "task_source": "longmult"} | [
"To solve the multiplication problem \\(775 \\times 152\\), you can break it down into simpler steps using the distributive property of multiplication over addition.\n\n### Step-by-Step Solution:\n\n1. **Break Down the Multiplication:**\n - First, multiply 775 by 50 (since 152 = 100 + 52 and we're breaking it up)... | [
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What is the solution to the long multiplication equation below?
265 x 899
Think step by step. | 238235 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n265 x 899\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 265, \"arg2\": 899, \"solution\": 238235}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\(265 \\times 899\\), we will break it down into simpler steps:\n\n### Step 1: Break Down the Numbers\nWe can split both numbers into smaller parts:\n- \\(265\\) becomes \\(200 + 60 + 5\\)\n- \\(899\\) becomes \\(800 + 90 + 9\\)\n\n### Step 2: Multiply Each Part of the Fir... | [
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What is the solution to the long multiplication equation below?
478 x 291
Think step by step. | 139098 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n478 x 291\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 478, \"arg2\": 291, \"solution\": 139098}", "task_source": "longmult"} | [
"To solve the long multiplication problem \\( 478 \\times 291 \\), we will break it down into steps and multiply each digit of one number by each digit of the other number, then add up all the products.\n\nLet's start with the first step:\n\n### Step 1: Multiply 478 by 9 (the units digit of 291)\n\\[ 478 \\times 9 ... | [
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What is the solution to the long multiplication equation below?
867 x 287
Think step by step. | 248829 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n867 x 287\n\nThink step by step.",
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] | [] | [] | {"metadata": "{\"arg1\": 867, \"arg2\": 287, \"solution\": 248829}", "task_source": "longmult"} | [
"Certainly! Let's solve this long multiplication problem step by step.\n\n### Step-by-Step Solution:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{c@{}c}\n & 867 \\\\\n \\times & 287 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply each digit of the first number (867) by the unit... | [
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What is the solution to the long multiplication equation below?
396 x 398
Think step by step. | 157608 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n396 x 398\n\nThink step by step.",
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] | [] | [] | {"metadata": "{\"arg1\": 396, \"arg2\": 398, \"solution\": 157608}", "task_source": "longmult"} | [
"To solve \\(396 \\times 398\\) using long multiplication, we can break it down into simpler steps as follows:\n\n1. **Break down the numbers:**\n - \\(396 = 400 - 4\\)\n - \\(398 = 400 - 2\\)\n\n2. **Set up the multiplication for each part:**\n\n For \\(400 \\times 398\\):\n \\[\n 400 \\times 398 = 400 \... | [
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What is the solution to the long multiplication equation below?
112 x 395
Think step by step. | 44240 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n112 x 395\n\nThink step by step.",
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] | [] | [] | {"metadata": "{\"arg1\": 112, \"arg2\": 395, \"solution\": 44240}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem step by step using the standard method for multiplying two numbers.\n\n### Step-by-Step Solution:\n\n#### Step 1: Set up the multiplication.\n```\n 112\nx 395\n_________\n```\n\n#### Step 2: Multiply each digit of the top number (112) by the first digit of the bottom numb... | [
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What is the solution to the long multiplication equation below?
809 x 507
Think step by step. | 410163 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n809 x 507\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 809, \"arg2\": 507, \"solution\": 410163}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem step-by-step:\n\n1) First, let's write down our numbers:\n 809\n x 507\n --------\n\n2) We need to multiply each digit of the top number (809) by each digit of the bottom number (507), and then add up all those products.\n\n3) Start with 809 x 7:\n - The units place: 9 x... | [
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What is the solution to the long multiplication equation below?
214 x 483
Think step by step. | 103362 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n214 x 483\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 214, \"arg2\": 483, \"solution\": 103362}", "task_source": "longmult"} | [
"Certainly! Let's solve the long multiplication problem for \\(214 \\times 483\\) step by step.\n\n### Step 1: Set up the multiplication vertically.\n```\n 214\n × 483\n ------\n```\n\n### Step 2: Multiply each digit of the second number (483) by the first digit of the top number (2).\n- First, multiply ... | [
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What is the solution to the long multiplication equation below?
179 x 471
Think step by step. | 84309 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n179 x 471\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 179, \"arg2\": 471, \"solution\": 84309}", "task_source": "longmult"} | [
"To solve the long multiplication of 179 and 471, we'll follow these steps:\n\n### Step 1: Set up the problem.\nWe have:\n```\n 179\n × 471\n```\n\n### Step 2: Multiply each digit in 179 by the units digit (1) in 471.\n```\n 179\n × 471\n ------\n 5369 (179 × 1)\n```\n\n### Step 3: Multiply each d... | [
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What is the solution to the long multiplication equation below?
363 x 264
Think step by step. | 95832 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n363 x 264\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 363, \"arg2\": 264, \"solution\": 95832}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem step-by-step.\n\n### Step 1: Break down the numbers\nWe have two three-digit numbers: 363 and 264.\n\n### Step 2: Multiply each digit of one number by each digit of the other number\n#### First digit:\n- \\(3 \\times 2 = 6\\)\n- \\(3 \\times 6 = 18\\) (write 8; carry over 1)\n- ... | [
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What is the solution to the long multiplication equation below?
131 x 983
Think step by step. | 128773 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n131 x 983\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 131, \"arg2\": 983, \"solution\": 128773}", "task_source": "longmult"} | [
"Certainly! Let's solve the problem \\(131 \\times 983\\) step by step.\n\n### Step-by-Step Solution:\n\n#### Step 1: Break down the numbers into smaller parts for easier calculation.\nWe can break it down as follows:\n\\[ 131 = 100 + 30 + 1 \\]\n\\[ 983 = 1000 - 117 \\]\n\nSo,\n\\[ 131 \\times 983 = (100 + 30 + 1)... | [
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What is the solution to the long multiplication equation below?
283 x 679
Think step by step. | 192157 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n283 x 679\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 283, \"arg2\": 679, \"solution\": 192157}", "task_source": "longmult"} | [
"Certainly! Let's solve this step-by-step using long multiplication.\n\n### Step 1: Set up the problem\nWe need to multiply \\(283\\) by \\(679\\).\n\n```\n 283\n × 679\n _________\n```\n\n### Step 2: Multiply each digit of the second number by the first number\n#### First row:\n- Multiply \\(283\\) b... | [
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What is the solution to the long multiplication equation below?
632 x 206
Think step by step. | 130192 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n632 x 206\n\nThink step by step.",
"role": "user"
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"To solve the long multiplication problem \\( 632 \\times 206 \\), we'll break it down into simpler steps and multiply each digit of the first number by each digit of the second number.\n\n### Step-by-Step Solution:\n\n1. **Multiply 632 by 6:**\n - 632 × 6 = 3792\n\n2. **Multiply 632 by 0 (ignore this initially b... | [
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What is the solution to the long multiplication equation below?
777 x 203
Think step by step. | 157731 | longmult_3dig | longmult | [
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"content": "What is the solution to the long multiplication equation below?\n\n777 x 203\n\nThink step by step.",
"role": "user"
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"To solve the long multiplication problem \\( 777 \\times 203 \\), we will follow these steps:\n\n1. **Set up the multiplication:**\n ```\n 777\n × 203\n ```\n\n2. **Multiply 777 by 3 (the units digit of 203):**\n - Multiply each digit in 777 by 3:\n - 7 × 3 = 21 (write down 1 and carry over 2)\n ... | [
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What is the solution to the long multiplication equation below?
605 x 631
Think step by step. | 381755 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n605 x 631\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 605, \"arg2\": 631, \"solution\": 381755}", "task_source": "longmult"} | [
"To solve \\(605 \\times 631\\), we can use the standard algorithm for multiplying numbers. Here's how you can do it step by step:\n\n### Step-by-Step Solution:\n\n#### 1. **Multiply 605 by 1 (the units digit of 631):**\n - Multiply 605 by 1: \n \\[\n 605 \\times 1 = 605\n \\]\n \n#### 2. **Multiply... | [
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What is the solution to the long multiplication equation below?
707 x 581
Think step by step. | 410767 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n707 x 581\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 707, \"arg2\": 581, \"solution\": 410767}", "task_source": "longmult"} | [
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"content": "What is the... | {
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What is the solution to the long multiplication equation below?
681 x 853
Think step by step. | 580893 | longmult_3dig | longmult | [
{
"content": "What is the solution to the long multiplication equation below?\n\n681 x 853\n\nThink step by step.",
"role": "user"
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] | [] | [] | {"metadata": "{\"arg1\": 681, \"arg2\": 853, \"solution\": 580893}", "task_source": "longmult"} | [
"Certainly! Let's solve this problem using long multiplication.\n\n### Step-by-Step Solution:\n\n**1. Set up the multiplication:**\n```\n 681\n × 853\n _________\n```\n\n**2. Multiply 681 by 3 (the units digit of 853):**\n\n```\n 681\n × 3\n _____\n 2043\n```\n\nSo far:\n```\n ... | [
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