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0
{ "answer": "6956", "args": [ "74", "94" ], "is_model_response_correct": [ true, true, true, true, true, true ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step about...
6956
{ "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\n94 x 74\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the multiplication problem \\( 94 \\times 74 \\), we'll break it down into steps:\n\n1. **Break it into smaller parts**:\n splitting the multiplication into simpler steps.\n\n2. **Use the distributive property**:\n Expressing the problem as a combination of simpler multiplications.\n\n### Step 1...
[ "To solve the multiplication problem \\( 94 \\times 74 \\), we'll break it down into steps:\n\n1. **Break it into smaller parts**:\n splitting the multiplication into simpler steps.\n\n2. **Use the distributive property**:\n Expressing the problem as a combination of simpler multiplications.\n\n### Step 1: Brea...
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1
[ "6956" ]
1
{ "answer": "1271", "args": [ "31", "41" ], "is_model_response_correct": [ true, true, true, true, true, true ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step about...
1271
{ "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\n31 x 41\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\( 31 \\times 41 \\), we will break it down into smaller steps:\n\n1. **Multiply the units digit of one number by the units digit of the other:**\n - Here, the units digit of 31 is 1, and the units digit of 41 is 1.\n - \\( 1 \\times 1 = 1 \\).\n\n2. **Multiply ...
[ "To solve the long multiplication equation \\( 31 \\times 41 \\), we will break it down into smaller steps:\n\n1. **Multiply the units digit of one number by the units digit of the other:**\n - Here, the units digit of 31 is 1, and the units digit of 41 is 1.\n - \\( 1 \\times 1 = 1 \\).\n\n2. **Multiply the un...
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1
[ "1271" ]
2
{ "answer": "1271", "args": [ "31", "41" ], "is_model_response_correct": [ false, false, true, false, true, false ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step a...
1271
{ "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\n41 x 31\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\(41 \\times 31\\), we can break it down into simpler steps by multiplying the numbers in a vertical format:\n\n1. First, multiply 41 by 1:\n \\[\n 41 \\times 1 = 41\n \\]\n\n2. Next, multiply 41 by 3 (which is the same as multiplying 41 by 10 and then dividin...
[ "To solve the long multiplication equation \\(41 \\times 31\\), we can break it down into simpler steps by multiplying the numbers in a vertical format:\n\n1. First, multiply 41 by 1:\n \\[\n 41 \\times 1 = 41\n \\]\n\n2. Next, multiply 41 by 3 (which is the same as multiplying 41 by 10 and then dividing by 1...
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efbd1f26a54875e39972ccf7fa21a34f2491c850b2eba9636cb5478e595897b5
1
[ "1271" ]
3
{ "answer": "3072", "args": [ "48", "64" ], "is_model_response_correct": [ false, true, false, true, false, false ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step a...
3072
{ "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\n48 x 64\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\(48 \\times 64\\), we will break it down into smaller steps and solve each part separately. Then we will combine the results.\n\nStep 1: Break down 48 into 40 and 8.\n\\(48 \\times 64 = (40 + 8) \\times 64\\)\n\nStep 2: Distribute 64 to both 40 and 8.\n\\(64 \\time...
[ "To solve the long multiplication equation \\(48 \\times 64\\), we will break it down into smaller steps and solve each part separately. Then we will combine the results.\n\nStep 1: Break down 48 into 40 and 8.\n\\(48 \\times 64 = (40 + 8) \\times 64\\)\n\nStep 2: Distribute 64 to both 40 and 8.\n\\(64 \\times 40 +...
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1
[ "3072" ]
4
{ "answer": "3072", "args": [ "48", "64" ], "is_model_response_correct": [ false, true, true, true, false, false ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step ab...
3072
{ "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\n48 x 64\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\(48 \\times 64\\), we will break it down into smaller steps and solve each part separately. Then we will combine the results.\n\nStep 1: Break down 48 into 40 and 8.\n\\(48 \\times 64 = (40 + 8) \\times 64\\)\n\nStep 2: Distribute 64 to both 40 and 8.\n\\(64 \\time...
[ "To solve the long multiplication equation \\(48 \\times 64\\), we will break it down into smaller steps and solve each part separately. Then we will combine the results.\n\nStep 1: Break down 48 into 40 and 8.\n\\(48 \\times 64 = (40 + 8) \\times 64\\)\n\nStep 2: Distribute 64 to both 40 and 8.\n\\(64 \\times 40 +...
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82147211de4c4b846e2cf7a2edac668990dff673d07bebcb2c9eae6aeb2c5963
1
[ "3072" ]
5
{ "answer": "4554", "args": [ "66", "69" ], "is_model_response_correct": [ true, true, true, true, true, true ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step about...
4554
{ "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\n69 x 66\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\( 69 \\times 66 \\), we will follow these steps:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 69 \\\\\n \\times 66 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 69 by 6 in the ones place:**\n\n \\[\n 69 \\times 6 = 414\n \\]\n...
[ "To solve the long multiplication equation \\( 69 \\times 66 \\), we will follow these steps:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 69 \\\\\n \\times 66 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 69 by 6 in the ones place:**\n\n \\[\n 69 \\times 6 = 414\n \\]\n\n W...
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1
[ "4554" ]
6
{ "answer": "754", "args": [ "13", "58" ], "is_model_response_correct": [ false, false, false, true, true, false ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step ab...
754
{ "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\n58 x 13\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\( 58 \\times 13 \\), we can break it down into simpler steps.\n\n1. **Multiplication Step-by-Step:**\n - First, multiply 13 by 8 (the units digit of 58).\n \\[\n 13 \\times 8 = 104\n \\]\n - Next, multiply 13 by 5 (the tens digit of 58).\n \\[\n...
[ "To solve the long multiplication equation \\( 58 \\times 13 \\), we can break it down into simpler steps.\n\n1. **Multiplication Step-by-Step:**\n - First, multiply 13 by 8 (the units digit of 58).\n \\[\n 13 \\times 8 = 104\n \\]\n - Next, multiply 13 by 5 (the tens digit of 58).\n \\[\n 1...
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0
[ "169" ]
7
{ "answer": "1600", "args": [ "20", "80" ], "is_model_response_correct": [ true, true, true, true, true, true ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step about...
1600
{ "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\n20 x 80\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\( 20 \\times 80 \\), follow these steps:\n\n1. **Write the numbers in a column format where the tens place is on top:**\n\n\\[\n\\begin{array}{c@{}c@{}c@{}c}\n& & & 2 & 0 \\\\\n& \\times & 8 & 0 \\\\\n\\end{array}\n\\]\n\n2. **Multiply 20 by 0 (the units digit of 8...
[ "To solve the long multiplication equation \\( 20 \\times 80 \\), follow these steps:\n\n1. **Write the numbers in a column format where the tens place is on top:**\n\n\\[\n\\begin{array}{c@{}c@{}c@{}c}\n& & & 2 & 0 \\\\\n& \\times & 8 & 0 \\\\\n\\end{array}\n\\]\n\n2. **Multiply 20 by 0 (the units digit of 80):**\...
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0
[ "160" ]
8
{ "answer": "1600", "args": [ "20", "80" ], "is_model_response_correct": [ false, true, true, false, true, true ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step abo...
1600
{ "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\n80 x 20\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\(80 \\times 20\\), we can break it down into simpler steps:\n\n1. **Multiply 8 by 2:**\n \\[\n 8 \\times 2 = 16\n \\]\n\n2. **Multiply 80 by 0:**\n \\[\n 80 \\times 0 = 0\n \\]\n\n3. **Add the results from steps 1 and 2:**\n \\[\n 16 + 0 = 16\n \\...
[ "To solve the long multiplication equation \\(80 \\times 20\\), we can break it down into simpler steps:\n\n1. **Multiply 8 by 2:**\n \\[\n 8 \\times 2 = 16\n \\]\n\n2. **Multiply 80 by 0:**\n \\[\n 80 \\times 0 = 0\n \\]\n\n3. **Add the results from steps 1 and 2:**\n \\[\n 16 + 0 = 16\n \\]\n\nT...
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1
[ "1600" ]
9
{ "answer": "6402", "args": [ "66", "97" ], "is_model_response_correct": [ true, false, false, false, false, false ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step ...
6402
{ "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\n66 x 97\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\( 66 \\times 97 \\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 6 & 6 \\\\\n \\times & 9 & 7 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 66 by 7...
[ "To solve the long multiplication equation \\( 66 \\times 97 \\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 6 & 6 \\\\\n \\times & 9 & 7 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 66 by 7 (the ...
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e50271b2ab1592e4586f4435ccc103a76f80498eb9cb86fbb4e95a0ee54ddc4e
0
[ "6542" ]
10
{ "answer": "6402", "args": [ "66", "97" ], "is_model_response_correct": [ false, false, false, true, false, false ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step ...
6402
{ "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\n97 x 66\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\( 97 \\times 66 \\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 9 & 7 \\\\\n \\times & 6 & 6 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 97 by 6...
[ "To solve the long multiplication equation \\( 97 \\times 66 \\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 9 & 7 \\\\\n \\times & 6 & 6 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 97 by 6 (the ...
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e50271b2ab1592e4586f4435ccc103a76f80498eb9cb86fbb4e95a0ee54ddc4e
1
[ "6402" ]
11
{ "answer": "2925", "args": [ "45", "65" ], "is_model_response_correct": [ true, true, true, true, true, true ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step about...
2925
{ "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\n45 x 65\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\(45 \\times 65\\), we will follow these steps:\n\n1. **Multiply the units digit of the first number by the units digit of the second number:**\n \\[\n 5 \\times 5 = 25\n \\]\n Write down the units digit, which is 5, and carry over the tens digit, which is 2...
[ "To solve the long multiplication equation \\(45 \\times 65\\), we will follow these steps:\n\n1. **Multiply the units digit of the first number by the units digit of the second number:**\n \\[\n 5 \\times 5 = 25\n \\]\n Write down the units digit, which is 5, and carry over the tens digit, which is 2.\n\n2...
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1307d88afe9d3df98959bf95d20c6e7dd70ca5d16d7c2c14329f5de286ccb44f
f0e3bd92f157f9b73ede82834286e7cea4044134b39d92ac3ee7e56392194241
0
[ "2775" ]
12
{ "answer": "660", "args": [ "12", "55" ], "is_model_response_correct": [ true, true, true, true, true, true ], "is_model_response_correct__correctness_prompt": [ "You are given a question, a solution, and a model output. For the current output, reason step by step about ...
660
{ "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\n12 x 55\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_sample":...
[ [ "To solve the long multiplication equation \\( 12 \\times 55 \\), we can break it down into simpler steps.\n\nFirst, let's write the multiplication as follows:\n\\[ 12 \\times 55 = 12 \\times (50 + 5) \\]\n\nThis is based on the distributive property of multiplication over addition, which states that \\( a \\...
[ "To solve the long multiplication equation \\( 12 \\times 55 \\), we can break it down into simpler steps.\n\nFirst, let's write the multiplication as follows:\n\\[ 12 \\times 55 = 12 \\times (50 + 5) \\]\n\nThis is based on the distributive property of multiplication over addition, which states that \\( a \\times ...
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ae600f1d836566e8bfbbcd59db920834efcf8247840caaca10c6a7f9180ba59e
fc9e91cc78e1817d80b4ba8c2dc9a638d0c57959825ee34f5e3d7688ad80dfb9
1
[ "660" ]
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