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{ "answer": "43351525", "problem": "What is the solution to the long multiplication equation below?\n\n5761 x 7525\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5761 x 7525\n\nThink step by step.", "solution": "43351525" }
43351525
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5761 x 7525\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 5761 \\times 7525 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all ...
[ "To solve the long multiplication equation \\( 5761 \\times 7525 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the pa...
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[ "43351525" ]
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{ "answer": "28275338", "problem": "What is the solution to the long multiplication equation below?\n\n7826 x 3613\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7826 x 3613\n\nThink step by step.", "solution": "28275338" }
28275338
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7826 x 3613\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 7826 \\times 3613 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 7826 \\) by each digit of \\( 3613 \\) (considering their place values) and then sum the results.\n\n### Ste...
[ "To solve the long multiplication equation \\( 7826 \\times 3613 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 7826 \\) by each digit of \\( 3613 \\) (considering their place values) and then sum the results.\n\n### Step 1: B...
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[ "28275338" ]
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{ "answer": "56187703", "problem": "What is the solution to the long multiplication equation below?\n\n8767 x 6409\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8767 x 6409\n\nThink step by step.", "solution": "56187703" }
56187703
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8767 x 6409\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 8767 \\times 6409 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, appropriately shifted, and then adding all the parti...
[ "To solve the long multiplication equation \\( 8767 \\times 6409 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, appropriately shifted, and then adding all the partial res...
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1
[ "56187703" ]
3
{ "answer": "19863352", "problem": "What is the solution to the long multiplication equation below?\n\n5266 x 3772\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5266 x 3772\n\nThink step by step.", "solution": "19863352" }
19863352
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5266 x 3772\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication problem \\(5266 \\times 3772\\), we'll break it down using the **distributive property of multiplication over addition**. This means we'll multiply \\(5266\\) by each digit of \\(3772\\) (considering their place values) and then sum the results.\n\n### Step 1: Break down the ...
[ "To solve the long multiplication problem \\(5266 \\times 3772\\), we'll break it down using the **distributive property of multiplication over addition**. This means we'll multiply \\(5266\\) by each digit of \\(3772\\) (considering their place values) and then sum the results.\n\n### Step 1: Break down the multip...
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1
[ "19863352" ]
4
{ "answer": "28859852", "problem": "What is the solution to the long multiplication equation below?\n\n8764 x 3293\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8764 x 3293\n\nThink step by step.", "solution": "28859852" }
28859852
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8764 x 3293\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication problem \\( 8764 \\times 3293 \\), we'll break it down using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8764 \\) by each digit of \\( 3293 \\) (considering their place values) and then sum the results.\n\n### Step 1: Break dow...
[ "To solve the long multiplication problem \\( 8764 \\times 3293 \\), we'll break it down using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8764 \\) by each digit of \\( 3293 \\) (considering their place values) and then sum the results.\n\n### Step 1: Break down the ...
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[ "\\[ 8764 \\times 3293 = 28,\\!860,\\!852 \\]\n\n### Verification (Optional):\nTo ensure accuracy, let's verify using another method, such as **lattice multiplication** or the **standard long multiplication algorithm**. Here’s a quick verification using standard long multiplication:\n\n\\[\n\\begin{array}{r}\n\\qua...
5
{ "answer": "14177721", "problem": "What is the solution to the long multiplication equation below?\n\n4353 x 3257\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4353 x 3257\n\nThink step by step.", "solution": "14177721" }
14177721
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4353 x 3257\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(4353 \\times 3257\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(4353 \\times 3257\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
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[ "14177721" ]
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{ "answer": "54529280", "problem": "What is the solution to the long multiplication equation below?\n\n7232 x 7540\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7232 x 7540\n\nThink step by step.", "solution": "54529280" }
54529280
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7232 x 7540\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(7232 \\times 7540\\), we can break it down into simpler, more manageable steps. Here's a detailed, step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can use the **distributive property of multiplication** to break the problem into smaller par...
[ "To solve the long multiplication equation \\(7232 \\times 7540\\), we can break it down into simpler, more manageable steps. Here's a detailed, step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can use the **distributive property of multiplication** to break the problem into smaller parts. Sp...
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1
[ "54529280" ]
7
{ "answer": "6553275", "problem": "What is the solution to the long multiplication equation below?\n\n2001 x 3275\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2001 x 3275\n\nThink step by step.", "solution": "6553275" }
6553275
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2001 x 3275\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication problem \\(2001 \\times 3275\\), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (3275)\nWe can express \\(3275\\) as:\n\\[ 3275 = 3000 + 200 + 70 + 5 \\]\n\n### Step...
[ "To solve the multiplication problem \\(2001 \\times 3275\\), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (3275)\nWe can express \\(3275\\) as:\n\\[ 3275 = 3000 + 200 + 70 + 5 \\]\n\n### Step 2: Mu...
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1
[ "6553275" ]
8
{ "answer": "12478965", "problem": "What is the solution to the long multiplication equation below?\n\n2955 x 4223\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2955 x 4223\n\nThink step by step.", "solution": "12478965" }
12478965
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2955 x 4223\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 2955 \\times 4223 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding the resu...
[ "To solve the long multiplication equation \\( 2955 \\times 4223 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding the results.\n...
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1
[ "12478965" ]
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{ "answer": "8593213", "problem": "What is the solution to the long multiplication equation below?\n\n1369 x 6277\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n1369 x 6277\n\nThink step by step.", "solution": "8593213" }
8593213
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1369 x 6277\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(1369 \\times 6277\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, appropriately shifted, and then adding all the partial...
[ "To solve the long multiplication equation \\(1369 \\times 6277\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, appropriately shifted, and then adding all the partial resul...
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1
[ "8593213" ]
10
{ "answer": "45955260", "problem": "What is the solution to the long multiplication equation below?\n\n5748 x 7995\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5748 x 7995\n\nThink step by step.", "solution": "45955260" }
45955260
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5748 x 7995\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 5748 \\times 7995 \\), we can break it down using the distributive property of multiplication over addition. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (7995)\nNotice that \\( 7995 \\) is very close to \\( 8000 \\). Specifically:\n\\...
[ "To solve the long multiplication equation \\( 5748 \\times 7995 \\), we can break it down using the distributive property of multiplication over addition. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (7995)\nNotice that \\( 7995 \\) is very close to \\( 8000 \\). Specifically:\n\\[ 7995...
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1
[ "45955260" ]
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{ "answer": "16943850", "problem": "What is the solution to the long multiplication equation below?\n\n5775 x 2934\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5775 x 2934\n\nThink step by step.", "solution": "16943850" }
16943850
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5775 x 2934\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 5775 \\times 2934 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 5775 \\) by each digit of \\( 2934 \\), accounting for place values, and then sum the results.\n\n### Step 1...
[ "To solve the long multiplication equation \\( 5775 \\times 2934 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 5775 \\) by each digit of \\( 2934 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea...
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1
[ "16943850" ]
12
{ "answer": "20161269", "problem": "What is the solution to the long multiplication equation below?\n\n2817 x 7157\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2817 x 7157\n\nThink step by step.", "solution": "20161269" }
20161269
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2817 x 7157\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 2817 \\times 7157 \\), we'll break it down using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the partial r...
[ "To solve the long multiplication equation \\( 2817 \\times 7157 \\), we'll break it down using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the partial results...
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92582d6c7111f13105204480a28c733f16d32ee5b50908aeb88da66854105a46
1
[ "20161269" ]
13
{ "answer": "18208080", "problem": "What is the solution to the long multiplication equation below?\n\n4356 x 4180\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4356 x 4180\n\nThink step by step.", "solution": "18208080" }
18208080
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4356 x 4180\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(4356 \\times 4180\\), we can break it down into simpler, more manageable steps. Here's a detailed, step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\(4180\\) as \\(4000 + 100 + 80\\). This allows us to multiply \\(4356\\) by eac...
[ "To solve the long multiplication equation \\(4356 \\times 4180\\), we can break it down into simpler, more manageable steps. Here's a detailed, step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\(4180\\) as \\(4000 + 100 + 80\\). This allows us to multiply \\(4356\\) by each comp...
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1
[ "18208080" ]
14
{ "answer": "7038992", "problem": "What is the solution to the long multiplication equation below?\n\n2699 x 2608\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2699 x 2608\n\nThink step by step.", "solution": "7038992" }
7038992
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2699 x 2608\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **2699** and **2608**. At first glance, this seems complex, but breaking it down into simpler, more manageable parts can make it easier. I recall that long multiplication involves multiplying each digit of the second number (the mu...
[ "### Understanding the Problem\n\nFirst, I need to multiply two large numbers: **2699** and **2608**. At first glance, this seems complex, but breaking it down into simpler, more manageable parts can make it easier. I recall that long multiplication involves multiplying each digit of the second number (the multipli...
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3eec248939c0c9b467c809a6f1c721b8eaf6c572532e700cb7dda8c5858b3c6b
1
[ "7038992" ]
15
{ "answer": "9987500", "problem": "What is the solution to the long multiplication equation below?\n\n7990 x 1250\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7990 x 1250\n\nThink step by step.", "solution": "9987500" }
9987500
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7990 x 1250\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a multiplication of two large numbers: 7990 and 1250. The goal is to find the product of these two numbers. \n\n### Breaking Down the Multiplication\n\nMultiplying large numbers directly can be complex, so I recall ...
[ "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a multiplication of two large numbers: 7990 and 1250. The goal is to find the product of these two numbers. \n\n### Breaking Down the Multiplication\n\nMultiplying large numbers directly can be complex, so I recall that b...
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[ "### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a multiplication of two large numbers: 7990 and 1250. The goal is to find the product of these two numbers. \n\n### Breaking Down the Multiplication\n\nMultiplying large numbers directly can be complex, so I recall that b...
16
{ "answer": "79914132", "problem": "What is the solution to the long multiplication equation below?\n\n8751 x 9132\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8751 x 9132\n\nThink step by step.", "solution": "79914132" }
79914132
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8751 x 9132\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 8751 \\times 9132 \\), we'll break it down step by step using the **long multiplication method**. Here's how it works:\n\n### Step 1: Break down the multiplication\nWe'll multiply \\( 8751 \\) by each digit of \\( 9132 \\), starting from the rightmost digit (unit...
[ "To solve the long multiplication equation \\( 8751 \\times 9132 \\), we'll break it down step by step using the **long multiplication method**. Here's how it works:\n\n### Step 1: Break down the multiplication\nWe'll multiply \\( 8751 \\) by each digit of \\( 9132 \\), starting from the rightmost digit (units plac...
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0
[ "9,\\!907,\\!032" ]
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{ "answer": "47896468", "problem": "What is the solution to the long multiplication equation below?\n\n8906 x 5378\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8906 x 5378\n\nThink step by step.", "solution": "47896468" }
47896468
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8906 x 5378\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication problem \\( 8906 \\times 5378 \\), we'll break it down using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8906 \\) by each digit of \\( 5378 \\), accounting for place values, and then sum the results.\n\n### Step 1: Break down t...
[ "To solve the long multiplication problem \\( 8906 \\times 5378 \\), we'll break it down using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8906 \\) by each digit of \\( 5378 \\), accounting for place values, and then sum the results.\n\n### Step 1: Break down the mul...
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1
[ "47896468" ]
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{ "answer": "37843225", "problem": "What is the solution to the long multiplication equation below?\n\n7525 x 5029\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7525 x 5029\n\nThink step by step.", "solution": "37843225" }
37843225
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7525 x 5029\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(7525 \\times 5029\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding the result...
[ "To solve the long multiplication equation \\(7525 \\times 5029\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding the results.\n\n...
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1
[ "37843225" ]
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{ "answer": "18761080", "problem": "What is the solution to the long multiplication equation below?\n\n5668 x 3310\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5668 x 3310\n\nThink step by step.", "solution": "18761080" }
18761080
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5668 x 3310\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 5668 \\times 3310 \\), we can break it down into simpler, more manageable steps. Here's a detailed, step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\( 3310 \\) as \\( 3000 + 300 + 10 \\). This allows us to multiply \\( 5668 \\...
[ "To solve the long multiplication equation \\( 5668 \\times 3310 \\), we can break it down into simpler, more manageable steps. Here's a detailed, step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\( 3310 \\) as \\( 3000 + 300 + 10 \\). This allows us to multiply \\( 5668 \\) by e...
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1
[ "18761080" ]
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{ "answer": "39004488", "problem": "What is the solution to the long multiplication equation below?\n\n9756 x 3998\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9756 x 3998\n\nThink step by step.", "solution": "39004488" }
39004488
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9756 x 3998\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication \\( 9756 \\times 3998 \\), we can use the **long multiplication** method. Here's a step-by-step breakdown:\n\n### Step 1: Break down the multiplication\nWe can express \\( 3998 \\) as \\( 4000 - 2 \\). This allows us to rewrite the multiplication as:\n\\[\n9756 \\times 3998 = 9756...
[ "To solve the multiplication \\( 9756 \\times 3998 \\), we can use the **long multiplication** method. Here's a step-by-step breakdown:\n\n### Step 1: Break down the multiplication\nWe can express \\( 3998 \\) as \\( 4000 - 2 \\). This allows us to rewrite the multiplication as:\n\\[\n9756 \\times 3998 = 9756 \\tim...
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1
[ "39004488" ]
21
{ "answer": "68054976", "problem": "What is the solution to the long multiplication equation below?\n\n9108 x 7472\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9108 x 7472\n\nThink step by step.", "solution": "68054976" }
68054976
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9108 x 7472\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 9108 \\times 7472 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 9108 \\times 7472 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
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1
[ "68054976" ]
22
{ "answer": "26964252", "problem": "What is the solution to the long multiplication equation below?\n\n9247 x 2916\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9247 x 2916\n\nThink step by step.", "solution": "26964252" }
26964252
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9247 x 2916\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 9247 \\times 2916 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 9247 \\) by each digit of \\( 2916 \\), accounting for place values, and then sum the results.\n\n### Step 1...
[ "To solve the long multiplication equation \\( 9247 \\times 2916 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 9247 \\) by each digit of \\( 2916 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea...
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1
[ "26964252" ]
23
{ "answer": "7574799", "problem": "What is the solution to the long multiplication equation below?\n\n3063 x 2473\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3063 x 2473\n\nThink step by step.", "solution": "7574799" }
7574799
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3063 x 2473\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(3063 \\times 2473\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(3063 \\times 2473\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
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1
[ "7574799" ]
24
{ "answer": "36636864", "problem": "What is the solution to the long multiplication equation below?\n\n3872 x 9462\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3872 x 9462\n\nThink step by step.", "solution": "36636864" }
36636864
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3872 x 9462\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 3872 \\times 9462 \\), we'll break it down step by step using the **long multiplication method**. Here's how it works:\n\n### Step 1: Break down the multiplication\nWe'll multiply \\( 3872 \\) by each digit of \\( 9462 \\), starting from the rightmost digit (unit...
[ "To solve the long multiplication equation \\( 3872 \\times 9462 \\), we'll break it down step by step using the **long multiplication method**. Here's how it works:\n\n### Step 1: Break down the multiplication\nWe'll multiply \\( 3872 \\) by each digit of \\( 9462 \\), starting from the rightmost digit (units plac...
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1
[ "36636864" ]
25
{ "answer": "32693412", "problem": "What is the solution to the long multiplication equation below?\n\n7589 x 4308\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7589 x 4308\n\nThink step by step.", "solution": "32693412" }
32693412
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7589 x 4308\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 7589 \\times 4308 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 7589 \\) by each digit of \\( 4308 \\), starting from the rightmost digit, and then sum the partial results....
[ "To solve the long multiplication equation \\( 7589 \\times 4308 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 7589 \\) by each digit of \\( 4308 \\), starting from the rightmost digit, and then sum the partial results.\n\n##...
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1
[ "32693412" ]
26
{ "answer": "5020356", "problem": "What is the solution to the long multiplication equation below?\n\n2409 x 2084\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2409 x 2084\n\nThink step by step.", "solution": "5020356" }
5020356
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2409 x 2084\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(2409 \\times 2084\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying each digit of the second number (2084) by the first number (2409) and then summing the results.\n\n### Step...
[ "To solve the long multiplication equation \\(2409 \\times 2084\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying each digit of the second number (2084) by the first number (2409) and then summing the results.\n\n### Step 1: Br...
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8285f321293ce17283f8f2f5c8d0647e7417b7da570e0c478d2f6528fd6b68d1
0
[ "4,920,356" ]
27
{ "answer": "17395911", "problem": "What is the solution to the long multiplication equation below?\n\n5127 x 3393\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5127 x 3393\n\nThink step by step.", "solution": "17395911" }
17395911
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5127 x 3393\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(5127 \\times 3393\\), we'll break it down using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then summing all the partial produc...
[ "To solve the long multiplication equation \\(5127 \\times 3393\\), we'll break it down using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then summing all the partial products.\n\...
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cef4791f3da5168fccd4dae597310d8660379b8d941d8cfb522d6e7d6a33f76a
0
[ "17,405,911" ]
28
{ "answer": "8791244", "problem": "What is the solution to the long multiplication equation below?\n\n2618 x 3358\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2618 x 3358\n\nThink step by step.", "solution": "8791244" }
8791244
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2618 x 3358\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 2618 \\times 3358 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 2618 \\times 3358 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
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11e905d9b75e28b26811012ec503582b53ab2c7272de8e2089c8ccaf2eec266d
0
[ "9,890,244" ]
29
{ "answer": "66403422", "problem": "What is the solution to the long multiplication equation below?\n\n6819 x 9738\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6819 x 9738\n\nThink step by step.", "solution": "66403422" }
66403422
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6819 x 9738\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 6819 \\times 9738 \\), we'll break it down using the **distributive property of multiplication over addition**. This method involves multiplying each digit of the second number (9738) by each digit of the first number (6819) and then summing the results. Here's a...
[ "To solve the long multiplication equation \\( 6819 \\times 9738 \\), we'll break it down using the **distributive property of multiplication over addition**. This method involves multiplying each digit of the second number (9738) by each digit of the first number (6819) and then summing the results. Here's a step-...
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1
[ "66403422" ]
30
{ "answer": "23756418", "problem": "What is the solution to the long multiplication equation below?\n\n3507 x 6774\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3507 x 6774\n\nThink step by step.", "solution": "23756418" }
23756418
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3507 x 6774\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 3507 \\times 6774 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 3507 \\times 6774 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
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cb5ea80abbab831a15c4e8aad07e69b79c5054f11c9d11fe63c1109f2a09dc1f
20935079c66d21995aff7cedd46d073733e50734a5e374bcb00f31f620953057
1
[ "23756418" ]
31
{ "answer": "6090183", "problem": "What is the solution to the long multiplication equation below?\n\n2439 x 2497\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2439 x 2497\n\nThink step by step.", "solution": "6090183" }
6090183
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2439 x 2497\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(2439 \\times 2497\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, adjusting for place value, and then summing all the pa...
[ "To solve the long multiplication equation \\(2439 \\times 2497\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, adjusting for place value, and then summing all the partial ...
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[ "5,020,183" ]
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{ "answer": "13789858", "problem": "What is the solution to the long multiplication equation below?\n\n2173 x 6346\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2173 x 6346\n\nThink step by step.", "solution": "13789858" }
13789858
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2173 x 6346\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 2173 \\times 6346 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 2173 \\times 6346 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
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1
[ "13789858" ]
33
{ "answer": "33598513", "problem": "What is the solution to the long multiplication equation below?\n\n3419 x 9827\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3419 x 9827\n\nThink step by step.", "solution": "33598513" }
33598513
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3419 x 9827\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication problem \\( 3419 \\times 9827 \\), we'll use the **long multiplication** method. Here's a step-by-step breakdown:\n\n### Step 1: Break down the multiplication\nWe'll multiply \\( 3419 \\) by each digit of \\( 9827 \\), starting from the rightmost digit (units place), and shift the...
[ "To solve the multiplication problem \\( 3419 \\times 9827 \\), we'll use the **long multiplication** method. Here's a step-by-step breakdown:\n\n### Step 1: Break down the multiplication\nWe'll multiply \\( 3419 \\) by each digit of \\( 9827 \\), starting from the rightmost digit (units place), and shift the parti...
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[ "33,\\!861,\\!913" ]
34
{ "answer": "13612308", "problem": "What is the solution to the long multiplication equation below?\n\n2703 x 5036\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2703 x 5036\n\nThink step by step.", "solution": "13612308" }
13612308
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2703 x 5036\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 2703 \\times 5036 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the ...
[ "To solve the long multiplication equation \\( 2703 \\times 5036 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the result...
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136c4e0cf869c946800a68eb42c2ec8b6af63179e57415fe59d690131b437aa4
1
[ "13612308" ]
35
{ "answer": "70272063", "problem": "What is the solution to the long multiplication equation below?\n\n9531 x 7373\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9531 x 7373\n\nThink step by step.", "solution": "70272063" }
70272063
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9531 x 7373\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(9531 \\times 7373\\), we'll break it down using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the partial res...
[ "To solve the long multiplication equation \\(9531 \\times 7373\\), we'll break it down using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the partial results t...
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5aac51b0d9956b11289de525bc252333a79852fbc16bdd5db29e6a5c8862b9e7
1
[ "70272063" ]
36
{ "answer": "25870579", "problem": "What is the solution to the long multiplication equation below?\n\n5443 x 4753\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5443 x 4753\n\nThink step by step.", "solution": "25870579" }
25870579
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5443 x 4753\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(5443 \\times 4753\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying each digit of the second number (4753) by each digit of the first number (5443) and then summing the result...
[ "To solve the long multiplication equation \\(5443 \\times 4753\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying each digit of the second number (4753) by each digit of the first number (5443) and then summing the results.\n\n...
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73182798066706c3b2d570da1f2abf28f8ea055ecea83f4392e2eff4a657e349
486f1b3effecf7a59cc8c5666572730550ee5fddb7da6f9ff7d024f82b861a9e
1
[ "25870579" ]
37
{ "answer": "30544176", "problem": "What is the solution to the long multiplication equation below?\n\n6448 x 4737\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6448 x 4737\n\nThink step by step.", "solution": "30544176" }
30544176
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6448 x 4737\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(6448 \\times 4737\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(6448 \\times 4737\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
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9cd5bb2bf713277e66b68e232d3f83af2273e4f0febcdd73914f6f8da11c49a0
32a22f21adda197293b21b89fe0a37b843651209b96aa47480f06551ba952ebd
1
[ "30544176" ]
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