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{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
157
{"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\nUsing the numbers [55, 60, 36, 6], create an equation that equals 157. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': 'To solve the equation \\\\(55 \\\\times 60 - 36 \\\\times 6\\\\), we will follow the standard long multiplication method to multiply each digit of the numbers provided.\\n\\n### Step 1: Multiply 55 by 6 (units place)\\n- 55 \u00d7 6 = 330\\n\\n### Step 2: Multiply 55 by 6 (tens place)\\n- 55 \u00d7 6...
["{'generation': 'To solve the equation \\\\(55 \\\\times 60 - 36 \\\\times 6\\\\), we will follow the standard long multiplication method to multiply each digit of the numbers provided.\\n\\n### Step 1: Multiply 55 by 6 (units place)\\n- 55 \u00d7 6 = 330\\n\\n### Step 2: Multiply 55 by 6 (tens place)\\n- 55 \u00d7 60...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(55 \\times 60 - 36 \\times 6\\), we will follow the standard long multiplication method to multiply each digit of the numbers provided.\n\n### Step 1: Multiply 55 by 6 (units place)\n- 55 \u00d7 6 = 330\n\n### Step 2: Multiply 55 by 6 (tens place)\n- 55 \u00d7 60 = 3300\n\n### Step 3: Add the...
[{"budget_forced_chunks": ["To solve the equation \\(55 \\times 60 - 36 \\times 6\\), we will follow the standard long multiplication method to multiply each digit of the numbers provided.\n\n### Step 1: Multiply 55 by 6 (units place)\n- 55 \u00d7 6 = 330\n\n### Step 2: Multiply 55 by 6 (tens place)\n- 55 \u00d7 60 = 3...
1
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
109
{"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\nUsing the numbers [83, 41, 3, 18], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the problem of adding up to 109 using the numbers 83, 41, 3, and 18, we will perform the addition step by step.\\n\\n1. First, we add 83 and 1:\\n \\\\[\\n 83 + 1 = 84\\n \\\\]\\n\\n2. Next, we add 41 to the result from the first step:\\n \\\\[\\n 84 + 41 = 125\\n \\\\]\\n\\n3. ...
["{'generation': \"To solve the problem of adding up to 109 using the numbers 83, 41, 3, and 18, we will perform the addition step by step.\\n\\n1. First, we add 83 and 1:\\n \\\\[\\n 83 + 1 = 84\\n \\\\]\\n\\n2. Next, we add 41 to the result from the first step:\\n \\\\[\\n 84 + 41 = 125\\n \\\\]\\n\\n3. T...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 109 using the numbers 83, 41, 3, and 18, we will perform the addition step by step.\n\n1. First, we add 83 and 1:\n \\[\n 83 + 1 = 84\n \\]\n\n2. Next, we add 41 to the result from the first step:\n \\[\n 84 + 41 = 125\n \\]\n\n3. Then, we add 3 to the result from the ...
[{"budget_forced_chunks": ["To solve the problem of adding up to 109 using the numbers 83, 41, 3, and 18, we will perform the addition step by step.\n\n1. First, we add 83 and 1:\n \\[\n 83 + 1 = 84\n \\]\n\n2. Next, we add 41 to the result from the first step:\n \\[\n 84 + 41 = 125\n \\]\n\n3. Then, we add...
2
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
204
{"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\nUsing the numbers [28, 100, 30, 46], create an equation that equals 204. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your w...
[["{'generation': \"To solve the equation 204 using the numbers [28, 100, 30, 46], let's break it down into steps:\\n\\nStep 1: Multiply 28 by 100.\\n28 * 100 = 2800\\n\\nStep 2: Multiply 28 by 30.\\n28 * 30 = 840\\n\\nStep 3: Multiply 28 by 46.\\n28 * 46 = 1288\\n\\nStep 4: Add the results from Step 1, Step 2, and Ste...
["{'generation': \"To solve the equation 204 using the numbers [28, 100, 30, 46], let's break it down into steps:\\n\\nStep 1: Multiply 28 by 100.\\n28 * 100 = 2800\\n\\nStep 2: Multiply 28 by 30.\\n28 * 30 = 840\\n\\nStep 3: Multiply 28 by 46.\\n28 * 46 = 1288\\n\\nStep 4: Add the results from Step 1, Step 2, and Step...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 204 using the numbers [28, 100, 30, 46], let's break it down into steps:\n\nStep 1: Multiply 28 by 100.\n28 * 100 = 2800\n\nStep 2: Multiply 28 by 30.\n28 * 30 = 840\n\nStep 3: Multiply 28 by 46.\n28 * 46 = 1288\n\nStep 4: Add the results from Step 1, Step 2, and Step 3.\n2800 + 840 + 1288 = 492...
[{"budget_forced_chunks": ["To solve the equation 204 using the numbers [28, 100, 30, 46], let's break it down into steps:\n\nStep 1: Multiply 28 by 100.\n28 * 100 = 2800\n\nStep 2: Multiply 28 by 30.\n28 * 30 = 840\n\nStep 3: Multiply 28 by 46.\n28 * 46 = 1288\n\nStep 4: Add the results from Step 1, Step 2, and Step 3...
3
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
837
{"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\nUsing the numbers [77, 22, 93, 46], create an equation that equals 837. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 77 \\\\times 22 \\\\times 93 \\\\times 46 \\\\) step by step, we can break it down into simpler multiplications.\\n\\nFirst, let's multiply 77 by 22:\\n\\n\\\\[\\n77 \\\\times 22 = 77 \\\\times (20 + 2) = (77 \\\\times 20) + (77 \\\\times 2)\\n\\\\]\\n\\n\\\\[\\n77 \\\\ti...
["{'generation': \"To solve the equation \\\\( 77 \\\\times 22 \\\\times 93 \\\\times 46 \\\\) step by step, we can break it down into simpler multiplications.\\n\\nFirst, let's multiply 77 by 22:\\n\\n\\\\[\\n77 \\\\times 22 = 77 \\\\times (20 + 2) = (77 \\\\times 20) + (77 \\\\times 2)\\n\\\\]\\n\\n\\\\[\\n77 \\\\tim...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 77 \\times 22 \\times 93 \\times 46 \\) step by step, we can break it down into simpler multiplications.\n\nFirst, let's multiply 77 by 22:\n\n\\[\n77 \\times 22 = 77 \\times (20 + 2) = (77 \\times 20) + (77 \\times 2)\n\\]\n\n\\[\n77 \\times 20 = 1540\n\\]\n\\[\n77 \\times 2 = 154\n\\]\n\n\...
[{"budget_forced_chunks": ["To solve the equation \\( 77 \\times 22 \\times 93 \\times 46 \\) step by step, we can break it down into simpler multiplications.\n\nFirst, let's multiply 77 by 22:\n\n\\[\n77 \\times 22 = 77 \\times (20 + 2) = (77 \\times 20) + (77 \\times 2)\n\\]\n\n\\[\n77 \\times 20 = 1540\n\\]\n\\[\n77...
4
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
224
{"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\nUsing the numbers [31, 44, 21, 28], create an equation that equals 224. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the multiplication problem \\\\( 31 \\\\times 44 \\\\times 21 \\\\times 28 \\\\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\\n\\n### Step 1: Break down 44 into 40 + 4\\n\\\\[ 31 \\\\times 44 \\\\times 21 \\\\times 28 = 31 \\\\times (40 +...
["{'generation': \"To solve the multiplication problem \\\\( 31 \\\\times 44 \\\\times 21 \\\\times 28 \\\\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\\n\\n### Step 1: Break down 44 into 40 + 4\\n\\\\[ 31 \\\\times 44 \\\\times 21 \\\\times 28 = 31 \\\\times (40 + ...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 31 \\times 44 \\times 21 \\times 28 \\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\n\n### Step 1: Break down 44 into 40 + 4\n\\[ 31 \\times 44 \\times 21 \\times 28 = 31 \\times (40 + 4) \\]\n\nBy the distributive property:\...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 31 \\times 44 \\times 21 \\times 28 \\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\n\n### Step 1: Break down 44 into 40 + 4\n\\[ 31 \\times 44 \\times 21 \\times 28 = 31 \\times (40 + 4) \\]\n\nBy t...
5
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
358
{"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\nUsing the numbers [44, 5, 80, 58], create an equation that equals 358. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem 44 + 58, follow these steps:\\n\\n1. Break down the numbers to make the addition easier:\\n 44 + 58 = (40 + 4) + (50 + 8)\\n = 40 + 4 + 50 + 8\\n = 92 + 50 + 8\\n = 142 + 8\\n = 150\\n\\nTherefore, the solution to the equation 44 + 58 is 150.\\n\\nIs this answ...
["{'generation': \"To solve the addition problem 44 + 58, follow these steps:\\n\\n1. Break down the numbers to make the addition easier:\\n 44 + 58 = (40 + 4) + (50 + 8)\\n = 40 + 4 + 50 + 8\\n = 92 + 50 + 8\\n = 142 + 8\\n = 150\\n\\nTherefore, the solution to the equation 44 + 58 is 150.\\n\\nIs this answe...
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6dc40ce9dbb40d5dadfe0e625a9e9efa7051b7cc5746e3d088d9ffe5ca048e44
62a0eae98b9fc0bd0ad941ae07ae5e2af545a64c8ddc43407bdfe6ae82addb4c
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 44 + 58, follow these steps:\n\n1. Break down the numbers to make the addition easier:\n 44 + 58 = (40 + 4) + (50 + 8)\n = 40 + 4 + 50 + 8\n = 92 + 50 + 8\n = 142 + 8\n = 150\n\nTherefore, the solution to the equation 44 + 58 is 150.\n\nIs this answer correct? No However, 150 i...
[{"budget_forced_chunks": ["To solve the addition problem 44 + 58, follow these steps:\n\n1. Break down the numbers to make the addition easier:\n 44 + 58 = (40 + 4) + (50 + 8)\n = 40 + 4 + 50 + 8\n = 92 + 50 + 8\n = 142 + 8\n = 150\n\nTherefore, the solution to the equation 44 + 58 is 150.\n\nIs this answer ...
6
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
110
{"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\nUsing the numbers [81, 29, 95, 37], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the problem <answer>110</answer>, we can break it down into simpler steps using addition:\\n\\n1. First, consider the number 29. If we add 95 and 37 to it, we can get 110.\\n2. Specifically, 29 + 95 = 124\\n3. And 29 + 37 = 66\\n4. Now, add these two results together: 124 + 66 = 190\\n\\nTh...
["{'generation': \"To solve the problem <answer>110</answer>, we can break it down into simpler steps using addition:\\n\\n1. First, consider the number 29. If we add 95 and 37 to it, we can get 110.\\n2. Specifically, 29 + 95 = 124\\n3. And 29 + 37 = 66\\n4. Now, add these two results together: 124 + 66 = 190\\n\\nThe...
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9bdb2af6799204a299c603994b8e400e4b1fd625efdb74066cc869fee42c9df3
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem <answer>110</answer>, we can break it down into simpler steps using addition:\n\n1. First, consider the number 29. If we add 95 and 37 to it, we can get 110.\n2. Specifically, 29 + 95 = 124\n3. And 29 + 37 = 66\n4. Now, add these two results together: 124 + 66 = 190\n\nTherefore, the solution is:...
[{"budget_forced_chunks": ["To solve the problem <answer>110</answer>, we can break it down into simpler steps using addition:\n\n1. First, consider the number 29. If we add 95 and 37 to it, we can get 110.\n2. Specifically, 29 + 95 = 124\n3. And 29 + 37 = 66\n4. Now, add these two results together: 124 + 66 = 190\n\nT...
7
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
896
{"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\nUsing the numbers [65, 56, 37, 12], create an equation that equals 896. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the multiplication problem \\\\( 65 \\\\times 56 \\\\times 37 \\\\times 12 \\\\), we will break it down into simpler steps using the standard operation of multiplication.\\n\\nStep 1: Multiply 65 and 56.\\nLet's write 65 and 56 vertically:\\n```\\n 65\\n x 56\\n ----\\n```\\nTo find 65...
["{'generation': \"To solve the multiplication problem \\\\( 65 \\\\times 56 \\\\times 37 \\\\times 12 \\\\), we will break it down into simpler steps using the standard operation of multiplication.\\n\\nStep 1: Multiply 65 and 56.\\nLet's write 65 and 56 vertically:\\n```\\n 65\\n x 56\\n ----\\n```\\nTo find 65 ...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 65 \\times 56 \\times 37 \\times 12 \\), we will break it down into simpler steps using the standard operation of multiplication.\n\nStep 1: Multiply 65 and 56.\nLet's write 65 and 56 vertically:\n```\n 65\n x 56\n ----\n```\nTo find 65 times 6, we multiply 65 by 6:\n```\n...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 65 \\times 56 \\times 37 \\times 12 \\), we will break it down into simpler steps using the standard operation of multiplication.\n\nStep 1: Multiply 65 and 56.\nLet's write 65 and 56 vertically:\n```\n 65\n x 56\n ----\n```\nTo find 65 times 6, w...
8
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
189
{"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\nUsing the numbers [4, 13, 64, 60], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': 'To solve the multiplication problem \\\\( 4 \\\\times 13 \\\\times 64 \\\\times 60 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down 13 into 10 + 3**:\\n \\\\[\\n 4 \\\\times 13 \\\\times 64 \\\\times 60 = 4 \\\\times (10 + 3) \\\\times 64 \\\\times 60\\n \\\\]\\n\\n2. **Add ...
["{'generation': 'To solve the multiplication problem \\\\( 4 \\\\times 13 \\\\times 64 \\\\times 60 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down 13 into 10 + 3**:\\n \\\\[\\n 4 \\\\times 13 \\\\times 64 \\\\times 60 = 4 \\\\times (10 + 3) \\\\times 64 \\\\times 60\\n \\\\]\\n\\n2. **Add t...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 4 \\times 13 \\times 64 \\times 60 \\), we can break it down into simpler steps:\n\n1. **Break down 13 into 10 + 3**:\n \\[\n 4 \\times 13 \\times 64 \\times 60 = 4 \\times (10 + 3) \\times 64 \\times 60\n \\]\n\n2. **Add the zeros**:\n \\[\n 4 \\times (10 + 3) \\time...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 4 \\times 13 \\times 64 \\times 60 \\), we can break it down into simpler steps:\n\n1. **Break down 13 into 10 + 3**:\n \\[\n 4 \\times 13 \\times 64 \\times 60 = 4 \\times (10 + 3) \\times 64 \\times 60\n \\]\n\n2. **Add the zeros**:\n \\[\n ...
9
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
298
{"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\nUsing the numbers [62, 56, 32, 55], create an equation that equals 298. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 62 \\\\times 56 \\\\times 32 \\\\times 55 \\\\), we can break it down into smaller, more manageable parts. \\n\\nFirst, let's group 62 and 55, which are easy to multiply:\\n\\n\\\\[ 62 \\\\times 55 = 3390 \\\\]\\n\\nNow, let's multiply 32 by 56:\\n\\n\\\\[ 32 \\\\times 56...
["{'generation': \"To solve the equation \\\\( 62 \\\\times 56 \\\\times 32 \\\\times 55 \\\\), we can break it down into smaller, more manageable parts. \\n\\nFirst, let's group 62 and 55, which are easy to multiply:\\n\\n\\\\[ 62 \\\\times 55 = 3390 \\\\]\\n\\nNow, let's multiply 32 by 56:\\n\\n\\\\[ 32 \\\\times 56 ...
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76ebdb6d45c61ca12e622118cc90939ade672adf7890aa2b246405d4884dd75a
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 62 \\times 56 \\times 32 \\times 55 \\), we can break it down into smaller, more manageable parts. \n\nFirst, let's group 62 and 55, which are easy to multiply:\n\n\\[ 62 \\times 55 = 3390 \\]\n\nNow, let's multiply 32 by 56:\n\n\\[ 32 \\times 56 = 1792 \\]\n\nFinally, we add the two results...
[{"budget_forced_chunks": ["To solve the equation \\( 62 \\times 56 \\times 32 \\times 55 \\), we can break it down into smaller, more manageable parts. \n\nFirst, let's group 62 and 55, which are easy to multiply:\n\n\\[ 62 \\times 55 = 3390 \\]\n\nNow, let's multiply 32 by 56:\n\n\\[ 32 \\times 56 = 1792 \\]\n\nFinal...
10
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
151
{"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\nUsing the numbers [17, 9, 83, 94], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 17 \\\\times 94 \\\\) using the numbers [17, 9, 83, 94], we can break it down into simpler steps:\\n\\n1. First, let's calculate \\\\( 94 \\\\times 7 \\\\):\\n \\\\[\\n 94 \\\\times 7 = 658\\n \\\\]\\n\\n2. Next, let's calculate \\\\( 94 \\\\times 9 \\\\):\\n \\\\...
["{'generation': \"To solve the equation \\\\( 17 \\\\times 94 \\\\) using the numbers [17, 9, 83, 94], we can break it down into simpler steps:\\n\\n1. First, let's calculate \\\\( 94 \\\\times 7 \\\\):\\n \\\\[\\n 94 \\\\times 7 = 658\\n \\\\]\\n\\n2. Next, let's calculate \\\\( 94 \\\\times 9 \\\\):\\n \\\\[...
daee8fdd3242524a675b70ac0440fb82a3b714551217495a9d7cb064b4a00359
ba913d40f0a0eeba08b38fbd17c6277a1d61675c3369c1f8f7c7914f8a956150
8e612bd1f5d132a339575b8dafb7842c64614e56bcf3d5ab65a0bc4b34329407
0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 17 \\times 94 \\) using the numbers [17, 9, 83, 94], we can break it down into simpler steps:\n\n1. First, let's calculate \\( 94 \\times 7 \\):\n \\[\n 94 \\times 7 = 658\n \\]\n\n2. Next, let's calculate \\( 94 \\times 9 \\):\n \\[\n 94 \\times 9 = 846\n \\]\n\n3. Now, add the ...
[{"budget_forced_chunks": ["To solve the equation \\( 17 \\times 94 \\) using the numbers [17, 9, 83, 94], we can break it down into simpler steps:\n\n1. First, let's calculate \\( 94 \\times 7 \\):\n \\[\n 94 \\times 7 = 658\n \\]\n\n2. Next, let's calculate \\( 94 \\times 9 \\):\n \\[\n 94 \\times 9 = 846\n...
11
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
554
{"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\nUsing the numbers [34, 62, 19, 30], create an equation that equals 554. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 34 + 62 + 19 + 30, we can break it down into smaller steps:\\n\\nStep 1: 34 + 62 = 96 (Add the first two numbers)\\nStep 2: 96 + 19 = 115 (Add the result to the third number)\\nStep 3: 115 + 30 = 145 (Add the final number)\\n\\nSo, the final answer is 145.\\n\\nIs this ...
["{'generation': \"To solve the addition problem 34 + 62 + 19 + 30, we can break it down into smaller steps:\\n\\nStep 1: 34 + 62 = 96 (Add the first two numbers)\\nStep 2: 96 + 19 = 115 (Add the result to the third number)\\nStep 3: 115 + 30 = 145 (Add the final number)\\n\\nSo, the final answer is 145.\\n\\nIs this a...
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c869d4c248531b6b33846aaadddc6c83f409a2a20d9d07443b8a76cb0c21c1a0
833cd8c0e698745b16dac196a511327c3b30258a0d9b96710745d28eca932533
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 34 + 62 + 19 + 30, we can break it down into smaller steps:\n\nStep 1: 34 + 62 = 96 (Add the first two numbers)\nStep 2: 96 + 19 = 115 (Add the result to the third number)\nStep 3: 115 + 30 = 145 (Add the final number)\n\nSo, the final answer is 145.\n\nIs this answer correct? No However...
[{"budget_forced_chunks": ["To solve the addition problem 34 + 62 + 19 + 30, we can break it down into smaller steps:\n\nStep 1: 34 + 62 = 96 (Add the first two numbers)\nStep 2: 96 + 19 = 115 (Add the result to the third number)\nStep 3: 115 + 30 = 145 (Add the final number)\n\nSo, the final answer is 145.\n\nIs this ...
12
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
223
{"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\nUsing the numbers [12, 65, 99, 71], create an equation that equals 223. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the problem of adding up the numbers [12, 65, 99, 71] to equal 223, follow these steps:\\n\\nStep 1: Add the units digit of the first number [1] to the units digit of the second number [5]. This gives us: 1 + 5 = 6.\\n\\nStep 2: Multiply the tens digit of the first number [2] by the units di...
["{'generation': 'To solve the problem of adding up the numbers [12, 65, 99, 71] to equal 223, follow these steps:\\n\\nStep 1: Add the units digit of the first number [1] to the units digit of the second number [5]. This gives us: 1 + 5 = 6.\\n\\nStep 2: Multiply the tens digit of the first number [2] by the units dig...
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53869efe9a00f4fdbcd03af1270feee938279f8fce046a079fc97a3e74271f73
56f4da26ed956730309fa1488611ee0f13b0ac95ebb1bc9b5d210e31ff70e79c
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up the numbers [12, 65, 99, 71] to equal 223, follow these steps:\n\nStep 1: Add the units digit of the first number [1] to the units digit of the second number [5]. This gives us: 1 + 5 = 6.\n\nStep 2: Multiply the tens digit of the first number [2] by the units digit of the second num...
[{"budget_forced_chunks": ["To solve the problem of adding up the numbers [12, 65, 99, 71] to equal 223, follow these steps:\n\nStep 1: Add the units digit of the first number [1] to the units digit of the second number [5]. This gives us: 1 + 5 = 6.\n\nStep 2: Multiply the tens digit of the first number [2] by the uni...
13
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
126
{"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\nUsing the numbers [34, 31, 63, 67], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 34 + 31 + 63 + 67, we can break it down into smaller steps:\\n\\nStep 1: Multiply 34 by 67.\\n34 * 67 = 2258\\n\\nStep 2: Multiply 34 by 7.\\n34 * 7 = 238\\n\\nStep 3: Multiply 34 by 6.\\n34 * 6 = 204\\n\\nStep 4: Multiply 31 by 67.\\n31 * 67 = 2087\\n\\nStep 5: Multipl...
["{'generation': \"To solve the addition problem 34 + 31 + 63 + 67, we can break it down into smaller steps:\\n\\nStep 1: Multiply 34 by 67.\\n34 * 67 = 2258\\n\\nStep 2: Multiply 34 by 7.\\n34 * 7 = 238\\n\\nStep 3: Multiply 34 by 6.\\n34 * 6 = 204\\n\\nStep 4: Multiply 31 by 67.\\n31 * 67 = 2087\\n\\nStep 5: Multiply...
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0345f9f4a6200195d5e7bf63905bb149cbe49513d09a8ddd9a8504fafc71e7c9
65a699905c02619370bcf9207f5a477c3d67130ca71ec6f750e07fe8d510b084
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 34 + 31 + 63 + 67, we can break it down into smaller steps:\n\nStep 1: Multiply 34 by 67.\n34 * 67 = 2258\n\nStep 2: Multiply 34 by 7.\n34 * 7 = 238\n\nStep 3: Multiply 34 by 6.\n34 * 6 = 204\n\nStep 4: Multiply 31 by 67.\n31 * 67 = 2087\n\nStep 5: Multiply 31 by 7.\n31 * 7 = 217\n\nStep...
[{"budget_forced_chunks": ["To solve the addition problem 34 + 31 + 63 + 67, we can break it down into smaller steps:\n\nStep 1: Multiply 34 by 67.\n34 * 67 = 2258\n\nStep 2: Multiply 34 by 7.\n34 * 7 = 238\n\nStep 3: Multiply 34 by 6.\n34 * 6 = 204\n\nStep 4: Multiply 31 by 67.\n31 * 67 = 2087\n\nStep 5: Multiply 31 b...
14
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
281
{"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\nUsing the numbers [45, 70, 80, 86], create an equation that equals 281. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 45 + 70 + 80 + 86, we can break it down into simpler steps:\\n\\n1. First, add 45 and 70:\\n \\\\[\\n 45 + 70 = 115\\n \\\\]\\n\\n2. Next, add the result to 80:\\n \\\\[\\n 115 + 80 = 195\\n \\\\]\\n\\n3. Finally, add 86 to the result:\\n \\\\[\\n 195 + ...
["{'generation': \"To solve the addition problem 45 + 70 + 80 + 86, we can break it down into simpler steps:\\n\\n1. First, add 45 and 70:\\n \\\\[\\n 45 + 70 = 115\\n \\\\]\\n\\n2. Next, add the result to 80:\\n \\\\[\\n 115 + 80 = 195\\n \\\\]\\n\\n3. Finally, add 86 to the result:\\n \\\\[\\n 195 + 8...
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6efb627ce152dc71b76215d3a7fa4bc7e652278b31ad016368eee81e4485c929
71a1c003a2b855d85582c8f6c7648c49d3fe836408a7e1b5d9b222448acb3c1b
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 45 + 70 + 80 + 86, we can break it down into simpler steps:\n\n1. First, add 45 and 70:\n \\[\n 45 + 70 = 115\n \\]\n\n2. Next, add the result to 80:\n \\[\n 115 + 80 = 195\n \\]\n\n3. Finally, add 86 to the result:\n \\[\n 195 + 86 = 281\n \\]\n\nSo, the solution to th...
[{"budget_forced_chunks": ["To solve the addition problem 45 + 70 + 80 + 86, we can break it down into simpler steps:\n\n1. First, add 45 and 70:\n \\[\n 45 + 70 = 115\n \\]\n\n2. Next, add the result to 80:\n \\[\n 115 + 80 = 195\n \\]\n\n3. Finally, add 86 to the result:\n \\[\n 195 + 86 = 281\n \\]...
15
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
166
{"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\nUsing the numbers [21, 65, 29, 51], create an equation that equals 166. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation 166 using the numbers [21, 65, 29, 51], let's break it down into steps:\\n\\n1. First, let's multiply 21 by 51:\\n 21 * 51 = 1053\\n\\n2. Next, let's multiply 29 by 65:\\n 29 * 65 = 1985\\n\\n3. Now, add the results from the above steps:\\n 1053 + 1985 = 2038\\n\\nSo, the...
["{'generation': \"To solve the equation 166 using the numbers [21, 65, 29, 51], let's break it down into steps:\\n\\n1. First, let's multiply 21 by 51:\\n 21 * 51 = 1053\\n\\n2. Next, let's multiply 29 by 65:\\n 29 * 65 = 1985\\n\\n3. Now, add the results from the above steps:\\n 1053 + 1985 = 2038\\n\\nSo, the ...
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539f8e544e608a49a83586313d10c896fc032b76ada4273c7a8987825458f4ec
e0f05da93a0f5a86a3be5fc0e301606513c9f7e59dac2357348aa0f2f47db984
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 166 using the numbers [21, 65, 29, 51], let's break it down into steps:\n\n1. First, let's multiply 21 by 51:\n 21 * 51 = 1053\n\n2. Next, let's multiply 29 by 65:\n 29 * 65 = 1985\n\n3. Now, add the results from the above steps:\n 1053 + 1985 = 2038\n\nSo, the final answer is:\n<answer>\n...
[{"budget_forced_chunks": ["To solve the equation 166 using the numbers [21, 65, 29, 51], let's break it down into steps:\n\n1. First, let's multiply 21 by 51:\n 21 * 51 = 1053\n\n2. Next, let's multiply 29 by 65:\n 29 * 65 = 1985\n\n3. Now, add the results from the above steps:\n 1053 + 1985 = 2038\n\nSo, the fi...
16
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
121
{"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\nUsing the numbers [28, 81, 24, 12], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the problem of adding up to 121 using the numbers [28, 81, 24, 12], we can follow this process:\\n\\n1. First, we add 28 and 81:\\n \\\\[\\n 28 + 81 = 109\\n \\\\]\\n\\n2. Next, we add the result to 24:\\n \\\\[\\n 109 + 24 = 133\\n \\\\]\\n\\n3. Finally, we add the result to 12:...
["{'generation': 'To solve the problem of adding up to 121 using the numbers [28, 81, 24, 12], we can follow this process:\\n\\n1. First, we add 28 and 81:\\n \\\\[\\n 28 + 81 = 109\\n \\\\]\\n\\n2. Next, we add the result to 24:\\n \\\\[\\n 109 + 24 = 133\\n \\\\]\\n\\n3. Finally, we add the result to 12:\...
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89aa1e580023722db67646e8149eb246c748e180e34a1cf679ab0b41a416d904
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 121 using the numbers [28, 81, 24, 12], we can follow this process:\n\n1. First, we add 28 and 81:\n \\[\n 28 + 81 = 109\n \\]\n\n2. Next, we add the result to 24:\n \\[\n 109 + 24 = 133\n \\]\n\n3. Finally, we add the result to 12:\n \\[\n 133 + 12 = 145\n \\]\n...
[{"budget_forced_chunks": ["To solve the problem of adding up to 121 using the numbers [28, 81, 24, 12], we can follow this process:\n\n1. First, we add 28 and 81:\n \\[\n 28 + 81 = 109\n \\]\n\n2. Next, we add the result to 24:\n \\[\n 109 + 24 = 133\n \\]\n\n3. Finally, we add the result to 12:\n \\[\n ...
17
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
326
{"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\nUsing the numbers [100, 88, 58, 80], create an equation that equals 326. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your w...
[["{'generation': \"To solve the equation \\\\( 100 + 88 + 58 + 80 = 326 \\\\).\\n\\n1. First, add 100 and 88:\\n \\\\[\\n 100 + 88 = 188\\n \\\\]\\n\\n2. Next, add 188 and 58:\\n \\\\[\\n 188 + 58 = 246\\n \\\\]\\n\\n3. Finally, add 246 and 80:\\n \\\\[\\n 246 + 80 = 326\\n \\\\]\\n\\nSo, the solutio...
["{'generation': \"To solve the equation \\\\( 100 + 88 + 58 + 80 = 326 \\\\).\\n\\n1. First, add 100 and 88:\\n \\\\[\\n 100 + 88 = 188\\n \\\\]\\n\\n2. Next, add 188 and 58:\\n \\\\[\\n 188 + 58 = 246\\n \\\\]\\n\\n3. Finally, add 246 and 80:\\n \\\\[\\n 246 + 80 = 326\\n \\\\]\\n\\nSo, the solution...
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a4e987d17584557e2fbed011cddf66dc5185338bc3ef33d4226f86c32b7364dd
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 100 + 88 + 58 + 80 = 326 \\).\n\n1. First, add 100 and 88:\n \\[\n 100 + 88 = 188\n \\]\n\n2. Next, add 188 and 58:\n \\[\n 188 + 58 = 246\n \\]\n\n3. Finally, add 246 and 80:\n \\[\n 246 + 80 = 326\n \\]\n\nSo, the solution to the equation \\( 100 + 88 + 58 + 80 = 326 \\) ...
[{"budget_forced_chunks": ["To solve the equation \\( 100 + 88 + 58 + 80 = 326 \\).\n\n1. First, add 100 and 88:\n \\[\n 100 + 88 = 188\n \\]\n\n2. Next, add 188 and 58:\n \\[\n 188 + 58 = 246\n \\]\n\n3. Finally, add 246 and 80:\n \\[\n 246 + 80 = 326\n \\]\n\nSo, the solution to the equation \\( 100...
18
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
870
{"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\nUsing the numbers [23, 87, 9, 22], create an equation that equals 870. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 23 \\\\times 87 \\\\times 9 \\\\times 22 \\\\) using long multiplication, follow these steps:\\n\\n1. **Set up the multiplication**: Write the numbers vertically:\\n\\n```\\n 23\\n \u00d7 87\\n \u00d7 9\\n \u00d7 22\\n```\\n\\n2. **Multiply 23 by 2 (the units di...
["{'generation': \"To solve the equation \\\\( 23 \\\\times 87 \\\\times 9 \\\\times 22 \\\\) using long multiplication, follow these steps:\\n\\n1. **Set up the multiplication**: Write the numbers vertically:\\n\\n```\\n 23\\n \u00d7 87\\n \u00d7 9\\n \u00d7 22\\n```\\n\\n2. **Multiply 23 by 2 (the units dig...
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8a9a02d73aeefd97306a08c30969a9e8d5ef03960978a1c5db4447558d40f689
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 23 \\times 87 \\times 9 \\times 22 \\) using long multiplication, follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically:\n\n```\n 23\n \u00d7 87\n \u00d7 9\n \u00d7 22\n```\n\n2. **Multiply 23 by 2 (the units digit of 22)**:\n\n \\[\n 23 \\times ...
[{"budget_forced_chunks": ["To solve the equation \\( 23 \\times 87 \\times 9 \\times 22 \\) using long multiplication, follow these steps:\n\n1. **Set up the multiplication**: Write the numbers vertically:\n\n```\n 23\n \u00d7 87\n \u00d7 9\n \u00d7 22\n```\n\n2. **Multiply 23 by 2 (the units digit of 22)**:...
19
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
313
{"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\nUsing the numbers [3, 49, 79, 45], create an equation that equals 313. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 3 \\\\times 49 + 79 - 45 \\\\), we will perform the operations step by step.\\n\\n1. **Multiply 3 by 49:**\\n \\\\[\\n 3 \\\\times 49 = 147\\n \\\\]\\n\\n2. **Add the result to 79:**\\n \\\\[\\n 147 + 79 = 226\\n \\\\]\\n\\n3. **Subtract 45 from the previous r...
["{'generation': \"To solve the equation \\\\( 3 \\\\times 49 + 79 - 45 \\\\), we will perform the operations step by step.\\n\\n1. **Multiply 3 by 49:**\\n \\\\[\\n 3 \\\\times 49 = 147\\n \\\\]\\n\\n2. **Add the result to 79:**\\n \\\\[\\n 147 + 79 = 226\\n \\\\]\\n\\n3. **Subtract 45 from the previous re...
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875e72fbfd3a4c913298c1e38d7a47e375c4a16f1b4c5a0bda7434d1050e6046
8efbbe9bc19ad2e043c6cdb187c0a0fedde70b6458443ce0b5648ec04ccf4cdf
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 3 \\times 49 + 79 - 45 \\), we will perform the operations step by step.\n\n1. **Multiply 3 by 49:**\n \\[\n 3 \\times 49 = 147\n \\]\n\n2. **Add the result to 79:**\n \\[\n 147 + 79 = 226\n \\]\n\n3. **Subtract 45 from the previous result:**\n \\[\n 226 - 45 = 181\n \\]\n\...
[{"budget_forced_chunks": ["To solve the equation \\( 3 \\times 49 + 79 - 45 \\), we will perform the operations step by step.\n\n1. **Multiply 3 by 49:**\n \\[\n 3 \\times 49 = 147\n \\]\n\n2. **Add the result to 79:**\n \\[\n 147 + 79 = 226\n \\]\n\n3. **Subtract 45 from the previous result:**\n \\[\n ...
20
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
882
{"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\nUsing the numbers [83, 45, 49, 20], create an equation that equals 882. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem \\\\( 83 + 45 + 49 + 20 \\\\), we will follow the standard algorithm for multiplication and addition. \\n\\nStep 1: Multiply 20 by 49.\\n\\\\( 20 \\\\times 49 = 980 \\\\)\\n\\nStep 2: Multiply 20 by 83.\\n\\\\( 20 \\\\times 83 = 1660 \\\\)\\n\\nStep 3: Add the results f...
["{'generation': \"To solve the addition problem \\\\( 83 + 45 + 49 + 20 \\\\), we will follow the standard algorithm for multiplication and addition. \\n\\nStep 1: Multiply 20 by 49.\\n\\\\( 20 \\\\times 49 = 980 \\\\)\\n\\nStep 2: Multiply 20 by 83.\\n\\\\( 20 \\\\times 83 = 1660 \\\\)\\n\\nStep 3: Add the results fr...
867f6a096f4bf7e135a66160255ce5c4348ad1531bcd70ed38cd7f043ac0ff55
aa0b91479da9d133903301c61a4703aff6eae6768b46714f1542f579566fe7bf
1de4842b42fa3db35fc4cf058a02acb057a8df02d0d3cdc96e686551aee25a39
0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\( 83 + 45 + 49 + 20 \\), we will follow the standard algorithm for multiplication and addition. \n\nStep 1: Multiply 20 by 49.\n\\( 20 \\times 49 = 980 \\)\n\nStep 2: Multiply 20 by 83.\n\\( 20 \\times 83 = 1660 \\)\n\nStep 3: Add the results from Step 1 and Step 2.\n\\( 980 + 1660 = 2...
[{"budget_forced_chunks": ["To solve the addition problem \\( 83 + 45 + 49 + 20 \\), we will follow the standard algorithm for multiplication and addition. \n\nStep 1: Multiply 20 by 49.\n\\( 20 \\times 49 = 980 \\)\n\nStep 2: Multiply 20 by 83.\n\\( 20 \\times 83 = 1660 \\)\n\nStep 3: Add the results from Step 1 and S...
21
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
451
{"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\nUsing the numbers [6, 28, 23, 41], create an equation that equals 451. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem 6 + 28 + 23 + 41, we can break it down into simpler steps:\\n\\nStep 1: First, add 6 and 28.\\n6 + 28 = 34\\n\\nStep 2: Then, add 34 and 23.\\n34 + 23 = 57\\n\\nStep 3: Finally, add 57 and 41.\\n57 + 41 = 98\\n\\nSo, the solution to 6 + 28 + 23 + 41 is 98.\\n\\n<answer>...
["{'generation': \"To solve the addition problem 6 + 28 + 23 + 41, we can break it down into simpler steps:\\n\\nStep 1: First, add 6 and 28.\\n6 + 28 = 34\\n\\nStep 2: Then, add 34 and 23.\\n34 + 23 = 57\\n\\nStep 3: Finally, add 57 and 41.\\n57 + 41 = 98\\n\\nSo, the solution to 6 + 28 + 23 + 41 is 98.\\n\\n<answer> ...
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caa1aedb2a6ce96b39b9fde1a49e1ebcb431b6da4586da0aef56df9b78221d60
0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 6 + 28 + 23 + 41, we can break it down into simpler steps:\n\nStep 1: First, add 6 and 28.\n6 + 28 = 34\n\nStep 2: Then, add 34 and 23.\n34 + 23 = 57\n\nStep 3: Finally, add 57 and 41.\n57 + 41 = 98\n\nSo, the solution to 6 + 28 + 23 + 41 is 98.\n\n<answer> 98 </answer>\n\nIs this answer...
[{"budget_forced_chunks": ["To solve the addition problem 6 + 28 + 23 + 41, we can break it down into simpler steps:\n\nStep 1: First, add 6 and 28.\n6 + 28 = 34\n\nStep 2: Then, add 34 and 23.\n34 + 23 = 57\n\nStep 3: Finally, add 57 and 41.\n57 + 41 = 98\n\nSo, the solution to 6 + 28 + 23 + 41 is 98.\n\n<answer> 98 <...
22
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
117
{"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\nUsing the numbers [59, 71, 70, 57], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 59 \\\\times 71 \\\\times 70 \\\\times 57 \\\\), we can break it down into simpler multiplications:\\n\\nStep 1: Multiply 59 by 70.\\n\\\\[ 59 \\\\times 70 = 59 \\\\times (7 \\\\times 10) = (59 \\\\times 7) \\\\times 10 \\\\]\\n\\nCalculate \\\\( 59 \\\\times 7 \\\\):\\n\...
["{'generation': \"To solve the equation \\\\( 59 \\\\times 71 \\\\times 70 \\\\times 57 \\\\), we can break it down into simpler multiplications:\\n\\nStep 1: Multiply 59 by 70.\\n\\\\[ 59 \\\\times 70 = 59 \\\\times (7 \\\\times 10) = (59 \\\\times 7) \\\\times 10 \\\\]\\n\\nCalculate \\\\( 59 \\\\times 7 \\\\):\\n\\...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 59 \\times 71 \\times 70 \\times 57 \\), we can break it down into simpler multiplications:\n\nStep 1: Multiply 59 by 70.\n\\[ 59 \\times 70 = 59 \\times (7 \\times 10) = (59 \\times 7) \\times 10 \\]\n\nCalculate \\( 59 \\times 7 \\):\n\\[ 59 \\times 7 = 413 \\]\n\nSo the result is:\n\\[ 59...
[{"budget_forced_chunks": ["To solve the equation \\( 59 \\times 71 \\times 70 \\times 57 \\), we can break it down into simpler multiplications:\n\nStep 1: Multiply 59 by 70.\n\\[ 59 \\times 70 = 59 \\times (7 \\times 10) = (59 \\times 7) \\times 10 \\]\n\nCalculate \\( 59 \\times 7 \\):\n\\[ 59 \\times 7 = 413 \\]\n\...
23
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
199
{"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\nUsing the numbers [90, 86, 52, 29], create an equation that equals 199. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the equation \\\\(90 - 86 + 52 - 29\\\\), we can break it down into simpler steps:\\n\\n1. **Break down the subtraction**: Subtracting 29 is the same as subtracting 30 and adding 1.\\n \\\\[\\n 90 - 29 = 90 - 20 - 1 = 70 - 1 = 69\\n \\\\]\\n\\n2. **Combine the addition**: Adding 69 is ...
["{'generation': 'To solve the equation \\\\(90 - 86 + 52 - 29\\\\), we can break it down into simpler steps:\\n\\n1. **Break down the subtraction**: Subtracting 29 is the same as subtracting 30 and adding 1.\\n \\\\[\\n 90 - 29 = 90 - 20 - 1 = 70 - 1 = 69\\n \\\\]\\n\\n2. **Combine the addition**: Adding 69 is t...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(90 - 86 + 52 - 29\\), we can break it down into simpler steps:\n\n1. **Break down the subtraction**: Subtracting 29 is the same as subtracting 30 and adding 1.\n \\[\n 90 - 29 = 90 - 20 - 1 = 70 - 1 = 69\n \\]\n\n2. **Combine the addition**: Adding 69 is the same as adding 70 minus 1.\n...
[{"budget_forced_chunks": ["To solve the equation \\(90 - 86 + 52 - 29\\), we can break it down into simpler steps:\n\n1. **Break down the subtraction**: Subtracting 29 is the same as subtracting 30 and adding 1.\n \\[\n 90 - 29 = 90 - 20 - 1 = 70 - 1 = 69\n \\]\n\n2. **Combine the addition**: Adding 69 is the sa...
24
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
251
{"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\nUsing the numbers [85, 5, 81, 80], create an equation that equals 251. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem \\\\( 85 + 5 + 81 + 80 \\\\), we will break it down into simpler steps.\\n\\nStep 1: Combine the first two numbers.\\n\\\\[ 85 + 5 = 90 \\\\]\\n\\nStep 2: Combine the next two numbers.\\n\\\\[ 90 + 80 = 160 \\\\]\\n\\nStep 3: Combine the result from Step 1 with the resu...
["{'generation': \"To solve the addition problem \\\\( 85 + 5 + 81 + 80 \\\\), we will break it down into simpler steps.\\n\\nStep 1: Combine the first two numbers.\\n\\\\[ 85 + 5 = 90 \\\\]\\n\\nStep 2: Combine the next two numbers.\\n\\\\[ 90 + 80 = 160 \\\\]\\n\\nStep 3: Combine the result from Step 1 with the resul...
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c75d3f1f5bcd6914d0331ce5ec17c0db8f2070a2d4285f8e3ff11c6ca19168ff
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\( 85 + 5 + 81 + 80 \\), we will break it down into simpler steps.\n\nStep 1: Combine the first two numbers.\n\\[ 85 + 5 = 90 \\]\n\nStep 2: Combine the next two numbers.\n\\[ 90 + 80 = 160 \\]\n\nStep 3: Combine the result from Step 1 with the result from Step 2.\n\\[ 160 + 81 = 241 \\...
[{"budget_forced_chunks": ["To solve the addition problem \\( 85 + 5 + 81 + 80 \\), we will break it down into simpler steps.\n\nStep 1: Combine the first two numbers.\n\\[ 85 + 5 = 90 \\]\n\nStep 2: Combine the next two numbers.\n\\[ 90 + 80 = 160 \\]\n\nStep 3: Combine the result from Step 1 with the result from Step...
25
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
140
{"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\nUsing the numbers [73, 17, 17, 67], create an equation that equals 140. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 73 \\\\times 17 \\\\times 17 \\\\times 67 \\\\) using basic arithmetic operations and each number only once, we can break it down into simpler steps:\\n\\n1. **Calculate \\\\( 73 \\\\times 17 \\\\):**\\n - Multiply 73 by 17.\\n - \\\\( 73 \\\\times 17 = 73 \\\\times (...
["{'generation': \"To solve the equation \\\\( 73 \\\\times 17 \\\\times 17 \\\\times 67 \\\\) using basic arithmetic operations and each number only once, we can break it down into simpler steps:\\n\\n1. **Calculate \\\\( 73 \\\\times 17 \\\\):**\\n - Multiply 73 by 17.\\n - \\\\( 73 \\\\times 17 = 73 \\\\times (1...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 73 \\times 17 \\times 17 \\times 67 \\) using basic arithmetic operations and each number only once, we can break it down into simpler steps:\n\n1. **Calculate \\( 73 \\times 17 \\):**\n - Multiply 73 by 17.\n - \\( 73 \\times 17 = 73 \\times (10 + 7) = 73 \\times 10 + 73 \\times 7 \\).\...
[{"budget_forced_chunks": ["To solve the equation \\( 73 \\times 17 \\times 17 \\times 67 \\) using basic arithmetic operations and each number only once, we can break it down into simpler steps:\n\n1. **Calculate \\( 73 \\times 17 \\):**\n - Multiply 73 by 17.\n - \\( 73 \\times 17 = 73 \\times (10 + 7) = 73 \\tim...
26
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
225
{"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\nUsing the numbers [54, 51, 84, 5], create an equation that equals 225. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the problem of adding 54 and 51, we can break it down into smaller steps of addition:\\n\\n1. Add 54 and 50 (which is the same as adding 5 to itself 10 times):\\n \\\\[ 54 + 50 = 104 \\\\]\\n\\n2. Now, add the result to the next 1:\\n \\\\[ 104 + 1 = 105 \\\\]\\n\\n3. Finally, add 84 to...
["{'generation': \"To solve the problem of adding 54 and 51, we can break it down into smaller steps of addition:\\n\\n1. Add 54 and 50 (which is the same as adding 5 to itself 10 times):\\n \\\\[ 54 + 50 = 104 \\\\]\\n\\n2. Now, add the result to the next 1:\\n \\\\[ 104 + 1 = 105 \\\\]\\n\\n3. Finally, add 84 to ...
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0e6523810856a138a75dec70a9cf3778a5c70b83ac915f22c33f05db97cb3e68
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 54 and 51, we can break it down into smaller steps of addition:\n\n1. Add 54 and 50 (which is the same as adding 5 to itself 10 times):\n \\[ 54 + 50 = 104 \\]\n\n2. Now, add the result to the next 1:\n \\[ 104 + 1 = 105 \\]\n\n3. Finally, add 84 to this result:\n \\[ 105 + 84 = 1...
[{"budget_forced_chunks": ["To solve the problem of adding 54 and 51, we can break it down into smaller steps of addition:\n\n1. Add 54 and 50 (which is the same as adding 5 to itself 10 times):\n \\[ 54 + 50 = 104 \\]\n\n2. Now, add the result to the next 1:\n \\[ 104 + 1 = 105 \\]\n\n3. Finally, add 84 to this re...
27
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
145
{"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\nUsing the numbers [72, 50, 31, 8], create an equation that equals 145. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\(72 + 50 - 31\\\\), we can break it down into simpler steps:\\n\\n1. **Break down the subtraction**: \\n \\\\[\\n 72 + 50 - 31 = 72 + 50 - 30 - 1\\n \\\\]\\n So, we first subtract 30 from 50, which gives us 20.\\n\\n2. **Now add the remaining terms**:\\n \\\\[\\n ...
["{'generation': \"To solve the equation \\\\(72 + 50 - 31\\\\), we can break it down into simpler steps:\\n\\n1. **Break down the subtraction**: \\n \\\\[\\n 72 + 50 - 31 = 72 + 50 - 30 - 1\\n \\\\]\\n So, we first subtract 30 from 50, which gives us 20.\\n\\n2. **Now add the remaining terms**:\\n \\\\[\\n ...
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be47addbcb8f60566a3d7fd5a36f8195798e2848b368195d9a5d20e007c59a0c
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(72 + 50 - 31\\), we can break it down into simpler steps:\n\n1. **Break down the subtraction**: \n \\[\n 72 + 50 - 31 = 72 + 50 - 30 - 1\n \\]\n So, we first subtract 30 from 50, which gives us 20.\n\n2. **Now add the remaining terms**:\n \\[\n 72 + 20 - 1\n \\]\n Now, we add ...
[{"budget_forced_chunks": ["To solve the equation \\(72 + 50 - 31\\), we can break it down into simpler steps:\n\n1. **Break down the subtraction**: \n \\[\n 72 + 50 - 31 = 72 + 50 - 30 - 1\n \\]\n So, we first subtract 30 from 50, which gives us 20.\n\n2. **Now add the remaining terms**:\n \\[\n 72 + 20 - ...
28
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
115
{"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\nUsing the numbers [37, 22, 61, 39], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 37 + 22 + 61 + 39, we can break it down into simpler steps:\\n\\nStep 1: First, add 37 and 22.\\n37 + 22 = 59\\n\\nStep 2: Then, add 59 and 61.\\n59 + 61 = 120\\n\\nStep 3: Finally, add 120 and 39.\\n120 + 39 = 159\\n\\nSo, the solution to the addition problem is 159.\\...
["{'generation': \"To solve the addition problem 37 + 22 + 61 + 39, we can break it down into simpler steps:\\n\\nStep 1: First, add 37 and 22.\\n37 + 22 = 59\\n\\nStep 2: Then, add 59 and 61.\\n59 + 61 = 120\\n\\nStep 3: Finally, add 120 and 39.\\n120 + 39 = 159\\n\\nSo, the solution to the addition problem is 159.\\n...
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885d7cf18f67d783d0e57039b3eaa7be5a8833713ca305984ff680f951b51bb0
28dae7c8bde2f3ca608f86d0e16a214dee74c74bee011cdfdd46bc04b655bc14
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 37 + 22 + 61 + 39, we can break it down into simpler steps:\n\nStep 1: First, add 37 and 22.\n37 + 22 = 59\n\nStep 2: Then, add 59 and 61.\n59 + 61 = 120\n\nStep 3: Finally, add 120 and 39.\n120 + 39 = 159\n\nSo, the solution to the addition problem is 159.\n\n<answer>\n159\n</answer>\n\...
[{"budget_forced_chunks": ["To solve the addition problem 37 + 22 + 61 + 39, we can break it down into simpler steps:\n\nStep 1: First, add 37 and 22.\n37 + 22 = 59\n\nStep 2: Then, add 59 and 61.\n59 + 61 = 120\n\nStep 3: Finally, add 120 and 39.\n120 + 39 = 159\n\nSo, the solution to the addition problem is 159.\n\n<...
29
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
102
{"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\nUsing the numbers [81, 47, 65, 3], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the problem of adding up to 102 using the numbers 81, 47, 65, and 3, we can follow this process:\\n\\n1. First, add 81 and 3:\\n \\\\[\\n 81 + 3 = 84\\n \\\\]\\n\\n2. Next, add 47 and 65:\\n \\\\[\\n 47 + 65 = 112\\n \\\\]\\n\\n3. Now, add the results from the previous two steps...
["{'generation': \"To solve the problem of adding up to 102 using the numbers 81, 47, 65, and 3, we can follow this process:\\n\\n1. First, add 81 and 3:\\n \\\\[\\n 81 + 3 = 84\\n \\\\]\\n\\n2. Next, add 47 and 65:\\n \\\\[\\n 47 + 65 = 112\\n \\\\]\\n\\n3. Now, add the results from the previous two steps:...
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37834f2f25762f23e1f74a531cbe445db73d6765ebe60878a7dfbecd7d4af6e1
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 102 using the numbers 81, 47, 65, and 3, we can follow this process:\n\n1. First, add 81 and 3:\n \\[\n 81 + 3 = 84\n \\]\n\n2. Next, add 47 and 65:\n \\[\n 47 + 65 = 112\n \\]\n\n3. Now, add the results from the previous two steps:\n \\[\n 84 + 112 = 196\n \\]\n...
[{"budget_forced_chunks": ["To solve the problem of adding up to 102 using the numbers 81, 47, 65, and 3, we can follow this process:\n\n1. First, add 81 and 3:\n \\[\n 81 + 3 = 84\n \\]\n\n2. Next, add 47 and 65:\n \\[\n 47 + 65 = 112\n \\]\n\n3. Now, add the results from the previous two steps:\n \\[\n ...
30
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
508
{"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\nUsing the numbers [21, 25, 59, 76], create an equation that equals 508. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 21 + 25 + 59 + 76, we can break it down into simpler steps:\\n\\n1. First, add 21 and 25:\\n \\\\[\\n 21 + 25 = 46\\n \\\\]\\n\\n2. Next, add 46 and 59:\\n \\\\[\\n 46 + 59 = 105\\n \\\\]\\n\\n3. Finally, add 105 and 76:\\n \\\\[\\n 105 + 76 = 181\\n \...
["{'generation': \"To solve the addition problem 21 + 25 + 59 + 76, we can break it down into simpler steps:\\n\\n1. First, add 21 and 25:\\n \\\\[\\n 21 + 25 = 46\\n \\\\]\\n\\n2. Next, add 46 and 59:\\n \\\\[\\n 46 + 59 = 105\\n \\\\]\\n\\n3. Finally, add 105 and 76:\\n \\\\[\\n 105 + 76 = 181\\n \\...
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aadc1a939c46deaaa9168b193e249955d4e5f23f6e134f6daf82ad2556a4149f
ecac903ea62dc1d5446a88330af0a17ce89c7787e5aaf450113a4a426813e3cc
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 21 + 25 + 59 + 76, we can break it down into simpler steps:\n\n1. First, add 21 and 25:\n \\[\n 21 + 25 = 46\n \\]\n\n2. Next, add 46 and 59:\n \\[\n 46 + 59 = 105\n \\]\n\n3. Finally, add 105 and 76:\n \\[\n 105 + 76 = 181\n \\]\n\nSo, the solution to the addition prob...
[{"budget_forced_chunks": ["To solve the addition problem 21 + 25 + 59 + 76, we can break it down into simpler steps:\n\n1. First, add 21 and 25:\n \\[\n 21 + 25 = 46\n \\]\n\n2. Next, add 46 and 59:\n \\[\n 46 + 59 = 105\n \\]\n\n3. Finally, add 105 and 76:\n \\[\n 105 + 76 = 181\n \\]\n\nSo, the sol...
31
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
860
{"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\nUsing the numbers [57, 73, 65, 76], create an equation that equals 860. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 57 + 73 + 65 + 76, we can break it down into smaller parts or align it properly for a standard addition setup. Here\u2019s how it will look:\\n\\n```\\n 57\\n+ 73\\n+ 65\\n+ 76\\n------\\n```\\n\\nNow, let's add each column from right to left:\\n\\n1. **Units place:** ...
["{'generation': \"To solve the addition problem 57 + 73 + 65 + 76, we can break it down into smaller parts or align it properly for a standard addition setup. Here\u2019s how it will look:\\n\\n```\\n 57\\n+ 73\\n+ 65\\n+ 76\\n------\\n```\\n\\nNow, let's add each column from right to left:\\n\\n1. **Units place:** 7...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 57 + 73 + 65 + 76, we can break it down into smaller parts or align it properly for a standard addition setup. Here\u2019s how it will look:\n\n```\n 57\n+ 73\n+ 65\n+ 76\n------\n```\n\nNow, let's add each column from right to left:\n\n1. **Units place:** 7 + 6 + 5 = 18 (write 8, carry...
[{"budget_forced_chunks": ["To solve the addition problem 57 + 73 + 65 + 76, we can break it down into smaller parts or align it properly for a standard addition setup. Here\u2019s how it will look:\n\n```\n 57\n+ 73\n+ 65\n+ 76\n------\n```\n\nNow, let's add each column from right to left:\n\n1. **Units place:** 7 + ...
32
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
106
{"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\nUsing the numbers [95, 31, 27, 69], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(95 \\\\times 31 - 27 \\\\times 69\\\\), we will perform the multiplication and subtraction step by step.\\n\\nFirst, let's multiply 95 by 31:\\n\\n\\\\[\\n95 \\\\times 31 = 95 \\\\times (30 + 1) = 95 \\\\times 30 + 95 \\\\times 1\\n\\\\]\\n\\nCalculating each part separate...
["{'generation': \"To solve the equation \\\\(95 \\\\times 31 - 27 \\\\times 69\\\\), we will perform the multiplication and subtraction step by step.\\n\\nFirst, let's multiply 95 by 31:\\n\\n\\\\[\\n95 \\\\times 31 = 95 \\\\times (30 + 1) = 95 \\\\times 30 + 95 \\\\times 1\\n\\\\]\\n\\nCalculating each part separatel...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(95 \\times 31 - 27 \\times 69\\), we will perform the multiplication and subtraction step by step.\n\nFirst, let's multiply 95 by 31:\n\n\\[\n95 \\times 31 = 95 \\times (30 + 1) = 95 \\times 30 + 95 \\times 1\n\\]\n\nCalculating each part separately:\n\n\\[\n95 \\times 30 = 2850\n\\]\n\\[\n95...
[{"budget_forced_chunks": ["To solve the equation \\(95 \\times 31 - 27 \\times 69\\), we will perform the multiplication and subtraction step by step.\n\nFirst, let's multiply 95 by 31:\n\n\\[\n95 \\times 31 = 95 \\times (30 + 1) = 95 \\times 30 + 95 \\times 1\n\\]\n\nCalculating each part separately:\n\n\\[\n95 \\tim...
33
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
720
{"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\nUsing the numbers [25, 70, 85, 72], create an equation that equals 720. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 25 \\\\times 70 \\\\times 85 \\\\times 72 \\\\), we can break it down into smaller, more manageable parts:\\n\\n1. First, let's multiply 25 by 70:\\n \\\\[\\n 25 \\\\times 70 = 1750\\n \\\\]\\n\\n2. Next, we multiply the result by 85:\\n \\\\[\\n 1750 \\\\times ...
["{'generation': \"To solve the equation \\\\( 25 \\\\times 70 \\\\times 85 \\\\times 72 \\\\), we can break it down into smaller, more manageable parts:\\n\\n1. First, let's multiply 25 by 70:\\n \\\\[\\n 25 \\\\times 70 = 1750\\n \\\\]\\n\\n2. Next, we multiply the result by 85:\\n \\\\[\\n 1750 \\\\times 8...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 25 \\times 70 \\times 85 \\times 72 \\), we can break it down into smaller, more manageable parts:\n\n1. First, let's multiply 25 by 70:\n \\[\n 25 \\times 70 = 1750\n \\]\n\n2. Next, we multiply the result by 85:\n \\[\n 1750 \\times 85 = 142500\n \\]\n\n3. Finally, we multiply ...
[{"budget_forced_chunks": ["To solve the equation \\( 25 \\times 70 \\times 85 \\times 72 \\), we can break it down into smaller, more manageable parts:\n\n1. First, let's multiply 25 by 70:\n \\[\n 25 \\times 70 = 1750\n \\]\n\n2. Next, we multiply the result by 85:\n \\[\n 1750 \\times 85 = 142500\n \\]\n...
34
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
159
{"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\nUsing the numbers [35, 7, 71, 15], create an equation that equals 159. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\(35 \\\\times 7 + 71 - 15\\\\), we can break it down into simpler steps:\\n\\n1. **Add 35 and 7:** \\n \\\\[\\n 35 + 7 = 42\\n \\\\]\\n\\n2. **Multiply 42 by 71:** \\n \\\\[\\n 42 \\\\times 71 = 42 \\\\times (70 + 1) = 42 \\\\times 70 + 42 \\\\times 1\\n \\\\]...
["{'generation': \"To solve the equation \\\\(35 \\\\times 7 + 71 - 15\\\\), we can break it down into simpler steps:\\n\\n1. **Add 35 and 7:** \\n \\\\[\\n 35 + 7 = 42\\n \\\\]\\n\\n2. **Multiply 42 by 71:** \\n \\\\[\\n 42 \\\\times 71 = 42 \\\\times (70 + 1) = 42 \\\\times 70 + 42 \\\\times 1\\n \\\\]\...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(35 \\times 7 + 71 - 15\\), we can break it down into simpler steps:\n\n1. **Add 35 and 7:** \n \\[\n 35 + 7 = 42\n \\]\n\n2. **Multiply 42 by 71:** \n \\[\n 42 \\times 71 = 42 \\times (70 + 1) = 42 \\times 70 + 42 \\times 1\n \\]\n \\[\n 42 \\times 70 = 2940\n \\]\n \\[\...
[{"budget_forced_chunks": ["To solve the equation \\(35 \\times 7 + 71 - 15\\), we can break it down into simpler steps:\n\n1. **Add 35 and 7:** \n \\[\n 35 + 7 = 42\n \\]\n\n2. **Multiply 42 by 71:** \n \\[\n 42 \\times 71 = 42 \\times (70 + 1) = 42 \\times 70 + 42 \\times 1\n \\]\n \\[\n 42 \\times ...
35
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
614
{"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\nUsing the numbers [30, 52, 76, 7], create an equation that equals 614. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem \\\\(30 + 52 + 76 + 7\\\\), we will follow the standard long addition method. Here's the step-by-step process:\\n\\n1. **Add the ones digit of each number to the carry-over from the previous step:**\\n\\n - Add \\\\(0\\\\) (from \\\\(30\\\\)) + \\\\(2\\\\) (from \\\\(...
["{'generation': \"To solve the addition problem \\\\(30 + 52 + 76 + 7\\\\), we will follow the standard long addition method. Here's the step-by-step process:\\n\\n1. **Add the ones digit of each number to the carry-over from the previous step:**\\n\\n - Add \\\\(0\\\\) (from \\\\(30\\\\)) + \\\\(2\\\\) (from \\\\(5...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\(30 + 52 + 76 + 7\\), we will follow the standard long addition method. Here's the step-by-step process:\n\n1. **Add the ones digit of each number to the carry-over from the previous step:**\n\n - Add \\(0\\) (from \\(30\\)) + \\(2\\) (from \\(52\\)) + \\(6\\) (from \\(76\\)) + \\(7\...
[{"budget_forced_chunks": ["To solve the addition problem \\(30 + 52 + 76 + 7\\), we will follow the standard long addition method. Here's the step-by-step process:\n\n1. **Add the ones digit of each number to the carry-over from the previous step:**\n\n - Add \\(0\\) (from \\(30\\)) + \\(2\\) (from \\(52\\)) + \\(6\...
36
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
995
{"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\nUsing the numbers [39, 19, 2, 52], create an equation that equals 995. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the problem \\\\(\\\\underbrace{39 \\\\times 19 \\\\times 2 \\\\times 52}_{\\\\text{cancelling out one digit}} = 995\\\\), we can break it down into simpler steps:\\n\\n1. **Multiply 39 and 2:**\\n \\\\[\\n 39 \\\\times 2 = 78\\n \\\\]\\n\\n2. **Multiply 39 and 50 (skip one digit):**\...
["{'generation': \"To solve the problem \\\\(\\\\underbrace{39 \\\\times 19 \\\\times 2 \\\\times 52}_{\\\\text{cancelling out one digit}} = 995\\\\), we can break it down into simpler steps:\\n\\n1. **Multiply 39 and 2:**\\n \\\\[\\n 39 \\\\times 2 = 78\\n \\\\]\\n\\n2. **Multiply 39 and 50 (skip one digit):**\\...
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abbb9233cee3e720b2a86acf4ad04e51a670a7e762f301f0fc5b64b8794c30cd
0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem \\(\\underbrace{39 \\times 19 \\times 2 \\times 52}_{\\text{cancelling out one digit}} = 995\\), we can break it down into simpler steps:\n\n1. **Multiply 39 and 2:**\n \\[\n 39 \\times 2 = 78\n \\]\n\n2. **Multiply 39 and 50 (skip one digit):**\n \\[\n 39 \\times 50 = 1950\n \\]\n\n3...
[{"budget_forced_chunks": ["To solve the problem \\(\\underbrace{39 \\times 19 \\times 2 \\times 52}_{\\text{cancelling out one digit}} = 995\\), we can break it down into simpler steps:\n\n1. **Multiply 39 and 2:**\n \\[\n 39 \\times 2 = 78\n \\]\n\n2. **Multiply 39 and 50 (skip one digit):**\n \\[\n 39 \\ti...
37
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
110
{"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\nUsing the numbers [30, 49, 17, 14], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation 110 using the numbers [30, 49, 17, 14], let's break it down into steps:\\n\\n1. First, let's multiply 49 by 14:\\n \\\\[ 49 \\\\times 14 = 636 \\\\]\\n\\n2. Next, we add 30 to the product from the first step:\\n \\\\[ 636 + 30 = 666 \\\\]\\n\\n3. Finally, we add 17 to the p...
["{'generation': \"To solve the equation 110 using the numbers [30, 49, 17, 14], let's break it down into steps:\\n\\n1. First, let's multiply 49 by 14:\\n \\\\[ 49 \\\\times 14 = 636 \\\\]\\n\\n2. Next, we add 30 to the product from the first step:\\n \\\\[ 636 + 30 = 666 \\\\]\\n\\n3. Finally, we add 17 to the pr...
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9bdb2af6799204a299c603994b8e400e4b1fd625efdb74066cc869fee42c9df3
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 110 using the numbers [30, 49, 17, 14], let's break it down into steps:\n\n1. First, let's multiply 49 by 14:\n \\[ 49 \\times 14 = 636 \\]\n\n2. Next, we add 30 to the product from the first step:\n \\[ 636 + 30 = 666 \\]\n\n3. Finally, we add 17 to the product from the second step:\n \\[...
[{"budget_forced_chunks": ["To solve the equation 110 using the numbers [30, 49, 17, 14], let's break it down into steps:\n\n1. First, let's multiply 49 by 14:\n \\[ 49 \\times 14 = 636 \\]\n\n2. Next, we add 30 to the product from the first step:\n \\[ 636 + 30 = 666 \\]\n\n3. Finally, we add 17 to the product fro...
38
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
176
{"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\nUsing the numbers [16, 16, 4, 44], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': 'To solve the equation \\\\( 16 \\\\times 16 + 16 \\\\times 4 + 4 \\\\times 16 + 44 \\\\times 1 \\\\), we will follow the standard algorithm for multiplication, which is also called long multiplication. \\n\\n1. **Multiply 16 by 1**: \\n \\\\[\\n 16 \\\\times 1 = 16\\n \\\\]\\n\\n2. **Multiply 1...
["{'generation': 'To solve the equation \\\\( 16 \\\\times 16 + 16 \\\\times 4 + 4 \\\\times 16 + 44 \\\\times 1 \\\\), we will follow the standard algorithm for multiplication, which is also called long multiplication. \\n\\n1. **Multiply 16 by 1**: \\n \\\\[\\n 16 \\\\times 1 = 16\\n \\\\]\\n\\n2. **Multiply 16...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 16 \\times 16 + 16 \\times 4 + 4 \\times 16 + 44 \\times 1 \\), we will follow the standard algorithm for multiplication, which is also called long multiplication. \n\n1. **Multiply 16 by 1**: \n \\[\n 16 \\times 1 = 16\n \\]\n\n2. **Multiply 16 by 4**:\n \\[\n 16 \\times 4 = 64\n ...
[{"budget_forced_chunks": ["To solve the equation \\( 16 \\times 16 + 16 \\times 4 + 4 \\times 16 + 44 \\times 1 \\), we will follow the standard algorithm for multiplication, which is also called long multiplication. \n\n1. **Multiply 16 by 1**: \n \\[\n 16 \\times 1 = 16\n \\]\n\n2. **Multiply 16 by 4**:\n \\...
39
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
154
{"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\nUsing the numbers [74, 24, 30, 74], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(74 \\\\times 24\\\\), we can break it down into simpler steps:\\n\\nStep 1: Multiply 74 by 4.\\n\\\\[74 \\\\times 4 = 296\\\\]\\n\\nStep 2: Multiply 74 by 20 and then add the result of Step 1.\\n\\\\[74 \\\\times 20 = 1480\\\\]\\n\\\\[1480 + 296 = 1776\\\\]\\n\\nSo, the fi...
["{'generation': \"To solve the equation \\\\(74 \\\\times 24\\\\), we can break it down into simpler steps:\\n\\nStep 1: Multiply 74 by 4.\\n\\\\[74 \\\\times 4 = 296\\\\]\\n\\nStep 2: Multiply 74 by 20 and then add the result of Step 1.\\n\\\\[74 \\\\times 20 = 1480\\\\]\\n\\\\[1480 + 296 = 1776\\\\]\\n\\nSo, the fin...
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ea1513ca8b1d1faa85b57ce69c46b4948b4fa03291c2a33b7c62e142215ea2b0
1d0ebea552eb43d0b1e1561f6de8ae92e3de7f1abec52399244d1caed7dbdfa6
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(74 \\times 24\\), we can break it down into simpler steps:\n\nStep 1: Multiply 74 by 4.\n\\[74 \\times 4 = 296\\]\n\nStep 2: Multiply 74 by 20 and then add the result of Step 1.\n\\[74 \\times 20 = 1480\\]\n\\[1480 + 296 = 1776\\]\n\nSo, the final answer is:\n\n\\<answer>1776\\</answer>\n\nIs...
[{"budget_forced_chunks": ["To solve the equation \\(74 \\times 24\\), we can break it down into simpler steps:\n\nStep 1: Multiply 74 by 4.\n\\[74 \\times 4 = 296\\]\n\nStep 2: Multiply 74 by 20 and then add the result of Step 1.\n\\[74 \\times 20 = 1480\\]\n\\[1480 + 296 = 1776\\]\n\nSo, the final answer is:\n\n\\<an...
40
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
106
{"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\nUsing the numbers [57, 78, 65, 62], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the problem of adding 57, 78, 65, and 62 to get a sum of 106, we can break it down into simpler steps:\\n\\n1. First, we add 57 and 78:\\n \\\\[\\n 57 + 78 = 135\\n \\\\]\\n\\n2. Next, we add 65 to the result from the above step:\\n \\\\[\\n 135 + 65 = 1350\\n \\\\]\\n\\n3. Final...
["{'generation': 'To solve the problem of adding 57, 78, 65, and 62 to get a sum of 106, we can break it down into simpler steps:\\n\\n1. First, we add 57 and 78:\\n \\\\[\\n 57 + 78 = 135\\n \\\\]\\n\\n2. Next, we add 65 to the result from the above step:\\n \\\\[\\n 135 + 65 = 1350\\n \\\\]\\n\\n3. Finall...
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482d9673cfee5de391f97fde4d1c84f9f8d6f2cf0784fcffb958b4032de7236c
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 57, 78, 65, and 62 to get a sum of 106, we can break it down into simpler steps:\n\n1. First, we add 57 and 78:\n \\[\n 57 + 78 = 135\n \\]\n\n2. Next, we add 65 to the result from the above step:\n \\[\n 135 + 65 = 1350\n \\]\n\n3. Finally, we add 62 to the result from the ...
[{"budget_forced_chunks": ["To solve the problem of adding 57, 78, 65, and 62 to get a sum of 106, we can break it down into simpler steps:\n\n1. First, we add 57 and 78:\n \\[\n 57 + 78 = 135\n \\]\n\n2. Next, we add 65 to the result from the above step:\n \\[\n 135 + 65 = 1350\n \\]\n\n3. Finally, we add ...
41
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
164
{"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\nUsing the numbers [95, 79, 42, 52], create an equation that equals 164. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(95 \\\\times 79 \\\\times 42 \\\\times 52 = 164\\\\), we can break it down into simpler steps.\\n\\nFirst, let's multiply 95 and 79:\\n\\n\\\\[ 95 \\\\times 79 = 95 \\\\times (80 - 1) = 95 \\\\times 80 - 95 \\\\times 1 = 7600 - 95 = 7505 \\\\]\\n\\nNext, we need to multipl...
["{'generation': \"To solve the equation \\\\(95 \\\\times 79 \\\\times 42 \\\\times 52 = 164\\\\), we can break it down into simpler steps.\\n\\nFirst, let's multiply 95 and 79:\\n\\n\\\\[ 95 \\\\times 79 = 95 \\\\times (80 - 1) = 95 \\\\times 80 - 95 \\\\times 1 = 7600 - 95 = 7505 \\\\]\\n\\nNext, we need to multiply...
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f1dd1b703129a0addb4f0876a9f095f954afc639aa18e7e4beb2e179a002ba06
3f9807cb9ae9fb6c30942af6139909d27753a5e03fe5a5c6e93b014f5b17366f
0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(95 \\times 79 \\times 42 \\times 52 = 164\\), we can break it down into simpler steps.\n\nFirst, let's multiply 95 and 79:\n\n\\[ 95 \\times 79 = 95 \\times (80 - 1) = 95 \\times 80 - 95 \\times 1 = 7600 - 95 = 7505 \\]\n\nNext, we need to multiply the result by 42:\n\n\\[ 7505 \\times 42 = 7...
[{"budget_forced_chunks": ["To solve the equation \\(95 \\times 79 \\times 42 \\times 52 = 164\\), we can break it down into simpler steps.\n\nFirst, let's multiply 95 and 79:\n\n\\[ 95 \\times 79 = 95 \\times (80 - 1) = 95 \\times 80 - 95 \\times 1 = 7600 - 95 = 7505 \\]\n\nNext, we need to multiply the result by 42:\...
42
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
658
{"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\nUsing the numbers [24, 48, 62, 28], create an equation that equals 658. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 24 + 48 + 62 + 28, we can break it down into simpler steps:\\n\\nStep 1: First, add 24 and 28.\\n24 + 28 = 52\\n\\nStep 2: Then, add 52 and 62.\\n52 + 62 = 114\\n\\nStep 3: Finally, add 114 and 48.\\n114 + 48 = 162\\n\\nSo, the solution to the addition problem 24 + 48 +...
["{'generation': \"To solve the addition problem 24 + 48 + 62 + 28, we can break it down into simpler steps:\\n\\nStep 1: First, add 24 and 28.\\n24 + 28 = 52\\n\\nStep 2: Then, add 52 and 62.\\n52 + 62 = 114\\n\\nStep 3: Finally, add 114 and 48.\\n114 + 48 = 162\\n\\nSo, the solution to the addition problem 24 + 48 + ...
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e3ca36057917c461c1ce0d857fdd4d1aba4ddc786a99bafece5080aab6c9924a
c22e1a4acbd2d996ff19a852585f9434883c30124f6b118eb9152fe4e5ee7994
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 24 + 48 + 62 + 28, we can break it down into simpler steps:\n\nStep 1: First, add 24 and 28.\n24 + 28 = 52\n\nStep 2: Then, add 52 and 62.\n52 + 62 = 114\n\nStep 3: Finally, add 114 and 48.\n114 + 48 = 162\n\nSo, the solution to the addition problem 24 + 48 + 62 + 28 is 162.\n\n<answer>\...
[{"budget_forced_chunks": ["To solve the addition problem 24 + 48 + 62 + 28, we can break it down into simpler steps:\n\nStep 1: First, add 24 and 28.\n24 + 28 = 52\n\nStep 2: Then, add 52 and 62.\n52 + 62 = 114\n\nStep 3: Finally, add 114 and 48.\n114 + 48 = 162\n\nSo, the solution to the addition problem 24 + 48 + 62...
43
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
113
{"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\nUsing the numbers [65, 32, 51, 35], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 65 + 32 + 51 + 35, we can break it down into simpler steps:\\n\\n1. First, add 65 and 32:\\n 65 + 32 = 97\\n\\n2. Then, add 51 to the result from step 1:\\n 97 + 51 = 148\\n\\n3. Finally, add 35 to the result from step 2:\\n 148 + 35 = 183\\n\\nSo, the solution to...
["{'generation': \"To solve the addition problem 65 + 32 + 51 + 35, we can break it down into simpler steps:\\n\\n1. First, add 65 and 32:\\n 65 + 32 = 97\\n\\n2. Then, add 51 to the result from step 1:\\n 97 + 51 = 148\\n\\n3. Finally, add 35 to the result from step 2:\\n 148 + 35 = 183\\n\\nSo, the solution to ...
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6c658ee83fb7e812482494f3e416a876f63f418a0b8a1f5e76d47ee4177035cb
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 65 + 32 + 51 + 35, we can break it down into simpler steps:\n\n1. First, add 65 and 32:\n 65 + 32 = 97\n\n2. Then, add 51 to the result from step 1:\n 97 + 51 = 148\n\n3. Finally, add 35 to the result from step 2:\n 148 + 35 = 183\n\nSo, the solution to the addition problem 65 + 32...
[{"budget_forced_chunks": ["To solve the addition problem 65 + 32 + 51 + 35, we can break it down into simpler steps:\n\n1. First, add 65 and 32:\n 65 + 32 = 97\n\n2. Then, add 51 to the result from step 1:\n 97 + 51 = 148\n\n3. Finally, add 35 to the result from step 2:\n 148 + 35 = 183\n\nSo, the solution to th...
44
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
207
{"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\nUsing the numbers [74, 35, 34, 64], create an equation that equals 207. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(74 \\\\times 35 \\\\times 34 \\\\times 64\\\\) using long multiplication, we'll follow these steps:\\n\\n### Step 1: Break down the numbers\\n- 74 = 70 + 4\\n- 35 = 30 + 5\\n- 34 = 30 + 4\\n- 64 = 60 + 4\\n\\n### Step 2: Multiply the numbers\\n#### Multiplication of 70 by ...
["{'generation': \"To solve the equation \\\\(74 \\\\times 35 \\\\times 34 \\\\times 64\\\\) using long multiplication, we'll follow these steps:\\n\\n### Step 1: Break down the numbers\\n- 74 = 70 + 4\\n- 35 = 30 + 5\\n- 34 = 30 + 4\\n- 64 = 60 + 4\\n\\n### Step 2: Multiply the numbers\\n#### Multiplication of 70 by 3...
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aaa58bd2603e108b3b3c87b508f5a5f8d1bf2e40a08f68fef58c2e043de36b9b
968076be2e38cf897d4d6cea3faca9c037e1a4e3b4b7744fb2533e07751bd30a
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(74 \\times 35 \\times 34 \\times 64\\) using long multiplication, we'll follow these steps:\n\n### Step 1: Break down the numbers\n- 74 = 70 + 4\n- 35 = 30 + 5\n- 34 = 30 + 4\n- 64 = 60 + 4\n\n### Step 2: Multiply the numbers\n#### Multiplication of 70 by 35:\n- \\(70 \\times 35\\)\n- \\(70 \...
[{"budget_forced_chunks": ["To solve the equation \\(74 \\times 35 \\times 34 \\times 64\\) using long multiplication, we'll follow these steps:\n\n### Step 1: Break down the numbers\n- 74 = 70 + 4\n- 35 = 30 + 5\n- 34 = 30 + 4\n- 64 = 60 + 4\n\n### Step 2: Multiply the numbers\n#### Multiplication of 70 by 35:\n- \\(7...
45
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
511
{"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\nUsing the numbers [24, 27, 43, 94], create an equation that equals 511. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 24 + 27 + 43 + 94 = 511, we can break it down into smaller steps of addition:\\n\\nStep 1: 24 + 27 = 51\\nStep 2: 51 + 43 = 94\\nStep 3: 94 + 2 = 96\\n\\nHowever, we made a mistake in the final step. Let's correct it:\\n\\nStep 1: 24 + 27 = 51\\nStep 2: 51 + 43 = 94\\nS...
["{'generation': \"To solve the addition problem 24 + 27 + 43 + 94 = 511, we can break it down into smaller steps of addition:\\n\\nStep 1: 24 + 27 = 51\\nStep 2: 51 + 43 = 94\\nStep 3: 94 + 2 = 96\\n\\nHowever, we made a mistake in the final step. Let's correct it:\\n\\nStep 1: 24 + 27 = 51\\nStep 2: 51 + 43 = 94\\nSt...
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f621dfd0c5b278b07d019212557e51ccde709d0d3299a828ad3d86ea1260724b
2c69bc9b34fb0800a44a702e45019c107dfdc8273b9feb62c9615addc7138bde
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 24 + 27 + 43 + 94 = 511, we can break it down into smaller steps of addition:\n\nStep 1: 24 + 27 = 51\nStep 2: 51 + 43 = 94\nStep 3: 94 + 2 = 96\n\nHowever, we made a mistake in the final step. Let's correct it:\n\nStep 1: 24 + 27 = 51\nStep 2: 51 + 43 = 94\nStep 3: 94 + 3 = 97\n\nNow, l...
[{"budget_forced_chunks": ["To solve the addition problem 24 + 27 + 43 + 94 = 511, we can break it down into smaller steps of addition:\n\nStep 1: 24 + 27 = 51\nStep 2: 51 + 43 = 94\nStep 3: 94 + 2 = 96\n\nHowever, we made a mistake in the final step. Let's correct it:\n\nStep 1: 24 + 27 = 51\nStep 2: 51 + 43 = 94\nSte...
46
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
958
{"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\nUsing the numbers [62, 96, 10, 6], create an equation that equals 958. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem \\\\( 62 + 96 + 10 + 6 \\\\), we can follow these steps:\\n\\n1. **Add 6 and 2**: \\n \\\\[\\n 6 + 2 = 8\\n \\\\]\\n\\n2. **Add 10 to 8**: \\n \\\\[\\n 8 + 10 = 18\\n \\\\]\\n\\n3. **Add 96 to 18**: \\n \\\\[\\n 18 + 96 = 114\\n \\\\]\\n\\n4. **Add ...
["{'generation': \"To solve the addition problem \\\\( 62 + 96 + 10 + 6 \\\\), we can follow these steps:\\n\\n1. **Add 6 and 2**: \\n \\\\[\\n 6 + 2 = 8\\n \\\\]\\n\\n2. **Add 10 to 8**: \\n \\\\[\\n 8 + 10 = 18\\n \\\\]\\n\\n3. **Add 96 to 18**: \\n \\\\[\\n 18 + 96 = 114\\n \\\\]\\n\\n4. **Add t...
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0d369e23acc505f423152c858be0bdf51af340030224fffb9497c99304730edf
debc96817a3523d6f3cde58b00abaf6480477744625d0b1f4e406e644ae1763b
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\( 62 + 96 + 10 + 6 \\), we can follow these steps:\n\n1. **Add 6 and 2**: \n \\[\n 6 + 2 = 8\n \\]\n\n2. **Add 10 to 8**: \n \\[\n 8 + 10 = 18\n \\]\n\n3. **Add 96 to 18**: \n \\[\n 18 + 96 = 114\n \\]\n\n4. **Add the result to 62**: \n \\[\n 62 + 114 = 176\n ...
[{"budget_forced_chunks": ["To solve the addition problem \\( 62 + 96 + 10 + 6 \\), we can follow these steps:\n\n1. **Add 6 and 2**: \n \\[\n 6 + 2 = 8\n \\]\n\n2. **Add 10 to 8**: \n \\[\n 8 + 10 = 18\n \\]\n\n3. **Add 96 to 18**: \n \\[\n 18 + 96 = 114\n \\]\n\n4. **Add the result to 62**: \n ...
47
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
108
{"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\nUsing the numbers [20, 19, 94, 53], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(20 - 19 + 94 - 53\\\\), we can break it down into simpler steps:\\n\\n1. First, let's subtract 53 from 94:\\n \\\\[\\n 94 - 53 = 41\\n \\\\]\\n\\n2. Next, we subtract 19 from 41:\\n \\\\[\\n 41 - 19 = 22\\n \\\\]\\n\\n3. Finally, we add 20 to 22:\\n \\\\[\\n ...
["{'generation': \"To solve the equation \\\\(20 - 19 + 94 - 53\\\\), we can break it down into simpler steps:\\n\\n1. First, let's subtract 53 from 94:\\n \\\\[\\n 94 - 53 = 41\\n \\\\]\\n\\n2. Next, we subtract 19 from 41:\\n \\\\[\\n 41 - 19 = 22\\n \\\\]\\n\\n3. Finally, we add 20 to 22:\\n \\\\[\\n ...
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9537f32ec7599e1ae953af6c9f929fe747ff9dadf79a9beff1f304c550173011
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(20 - 19 + 94 - 53\\), we can break it down into simpler steps:\n\n1. First, let's subtract 53 from 94:\n \\[\n 94 - 53 = 41\n \\]\n\n2. Next, we subtract 19 from 41:\n \\[\n 41 - 19 = 22\n \\]\n\n3. Finally, we add 20 to 22:\n \\[\n 20 + 22 = 42\n \\]\n\nSo, the solution to ...
[{"budget_forced_chunks": ["To solve the equation \\(20 - 19 + 94 - 53\\), we can break it down into simpler steps:\n\n1. First, let's subtract 53 from 94:\n \\[\n 94 - 53 = 41\n \\]\n\n2. Next, we subtract 19 from 41:\n \\[\n 41 - 19 = 22\n \\]\n\n3. Finally, we add 20 to 22:\n \\[\n 20 + 22 = 42\n \...
48
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
872
{"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\nUsing the numbers [91, 21, 82, 12], create an equation that equals 872. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the addition problem \\\\(91 + 21 + 82 + 12\\\\), we will follow the standard algorithm for multiplication, which is often referred to as the \"distributive property\" in the context of multiplying polynomials. However, in this simple addition problem, we will break it down into straightforw...
["{'generation': 'To solve the addition problem \\\\(91 + 21 + 82 + 12\\\\), we will follow the standard algorithm for multiplication, which is often referred to as the \"distributive property\" in the context of multiplying polynomials. However, in this simple addition problem, we will break it down into straightforwa...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\(91 + 21 + 82 + 12\\), we will follow the standard algorithm for multiplication, which is often referred to as the \"distributive property\" in the context of multiplying polynomials. However, in this simple addition problem, we will break it down into straightforward steps.\n\n1. **Br...
[{"budget_forced_chunks": ["To solve the addition problem \\(91 + 21 + 82 + 12\\), we will follow the standard algorithm for multiplication, which is often referred to as the \"distributive property\" in the context of multiplying polynomials. However, in this simple addition problem, we will break it down into straigh...
49
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
809
{"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\nUsing the numbers [20, 93, 16, 46], create an equation that equals 809. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the multiplication problem \\\\( 20 \\\\times 93 \\\\times 16 \\\\times 46 \\\\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\\n\\n### Step 1: Break down 93 into 90 + 3 for easier multiplication.\\n\\\\[ 20 \\\\times (90 + 3) \\\\times 16 \...
["{'generation': \"To solve the multiplication problem \\\\( 20 \\\\times 93 \\\\times 16 \\\\times 46 \\\\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\\n\\n### Step 1: Break down 93 into 90 + 3 for easier multiplication.\\n\\\\[ 20 \\\\times (90 + 3) \\\\times 16 \\...
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0b06d2ffebd5c025cf444cb95a73e1fff046569238eafd1e80f511ea2a807de3
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 20 \\times 93 \\times 16 \\times 46 \\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\n\n### Step 1: Break down 93 into 90 + 3 for easier multiplication.\n\\[ 20 \\times (90 + 3) \\times 16 \\times (46) \\]\n\n### Step 2: Multip...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 20 \\times 93 \\times 16 \\times 46 \\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\n\n### Step 1: Break down 93 into 90 + 3 for easier multiplication.\n\\[ 20 \\times (90 + 3) \\times 16 \\times (46)...
50
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
924
{"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\nUsing the numbers [5, 44, 5, 80], create an equation that equals 924. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the multiplication problem \\\\( 5 \\\\times 44 \\\\times 5 \\\\times 80 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down the multiplication into smaller parts:**\\n \\\\[\\n 5 \\\\times 44 \\\\times 5 \\\\times 80 = (5 \\\\times 44) \\\\times (5 \\\\times 80)\\n \...
["{'generation': \"To solve the multiplication problem \\\\( 5 \\\\times 44 \\\\times 5 \\\\times 80 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down the multiplication into smaller parts:**\\n \\\\[\\n 5 \\\\times 44 \\\\times 5 \\\\times 80 = (5 \\\\times 44) \\\\times (5 \\\\times 80)\\n \\...
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1a5659493256d9eb296edea686b14dfd94116d21c8ab25ec0ca46a46f617067e
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 5 \\times 44 \\times 5 \\times 80 \\), we can break it down into simpler steps:\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 5 \\times 44 \\times 5 \\times 80 = (5 \\times 44) \\times (5 \\times 80)\n \\]\n\n2. **Calculate \\( 5 \\times 44 \\):**\n ...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 5 \\times 44 \\times 5 \\times 80 \\), we can break it down into simpler steps:\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 5 \\times 44 \\times 5 \\times 80 = (5 \\times 44) \\times (5 \\times 80)\n \\]\n\n2. **Calculate ...
51
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
104
{"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\nUsing the numbers [18, 67, 8, 11], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\(18 \\\\times 67 + 8 \\\\times 11 + 1\\\\), we will perform the multiplication and addition step by step.\\n\\nFirst, let's multiply 18 by 67:\\n\\\\[\\n18 \\\\times 67 = 18 \\\\times (60 + 7) = 18 \\\\times 60 + 18 \\\\times 7\\n\\\\]\\nCalculate \\\\(18 \\\\times 60\\\\):...
["{'generation': \"To solve the equation \\\\(18 \\\\times 67 + 8 \\\\times 11 + 1\\\\), we will perform the multiplication and addition step by step.\\n\\nFirst, let's multiply 18 by 67:\\n\\\\[\\n18 \\\\times 67 = 18 \\\\times (60 + 7) = 18 \\\\times 60 + 18 \\\\times 7\\n\\\\]\\nCalculate \\\\(18 \\\\times 60\\\\):\...
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446aa45cfa0ff8e1f0725c58bfade3242948200aeaae2120b70df506cfcd5b6a
5ef6fdf32513aa7cd11f72beccf132b9224d33f271471fff402742887a171edf
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(18 \\times 67 + 8 \\times 11 + 1\\), we will perform the multiplication and addition step by step.\n\nFirst, let's multiply 18 by 67:\n\\[\n18 \\times 67 = 18 \\times (60 + 7) = 18 \\times 60 + 18 \\times 7\n\\]\nCalculate \\(18 \\times 60\\):\n\\[\n18 \\times 60 = 18 \\times (6 \\times 10) =...
[{"budget_forced_chunks": ["To solve the equation \\(18 \\times 67 + 8 \\times 11 + 1\\), we will perform the multiplication and addition step by step.\n\nFirst, let's multiply 18 by 67:\n\\[\n18 \\times 67 = 18 \\times (60 + 7) = 18 \\times 60 + 18 \\times 7\n\\]\nCalculate \\(18 \\times 60\\):\n\\[\n18 \\times 60 = 1...
52
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
152
{"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\nUsing the numbers [35, 43, 64, 96], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem \\\\(35 + 43\\\\):\\n\\n1. First, let's break it down into simpler steps:\\n - Add the ones place: 5 + 3 = 8\\n - Add the tens place: 3 (from 35) + 4 (from 43) = 7\\n - Combine the results: 78\\n\\nSo, the final answer is:\\n\\n\\\\boxed{78}\\n\\nIs this answer co...
["{'generation': \"To solve the addition problem \\\\(35 + 43\\\\):\\n\\n1. First, let's break it down into simpler steps:\\n - Add the ones place: 5 + 3 = 8\\n - Add the tens place: 3 (from 35) + 4 (from 43) = 7\\n - Combine the results: 78\\n\\nSo, the final answer is:\\n\\n\\\\boxed{78}\\n\\nIs this answer cor...
d7853c3069e39d1d45039c9c79f1f6ed952afc270e626a14bb8b59bb4e9ab71b
6aa905484440c7af25f79be9884eed072cc03d21cf1081b071d08c7989d209f8
043066daf2109523a7490d4bfad4766da5719950a2b5f96d192fc0537e84f32a
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\(35 + 43\\):\n\n1. First, let's break it down into simpler steps:\n - Add the ones place: 5 + 3 = 8\n - Add the tens place: 3 (from 35) + 4 (from 43) = 7\n - Combine the results: 78\n\nSo, the final answer is:\n\n\\boxed{78}\n\nIs this answer correct? No But according to 152 addi...
[{"budget_forced_chunks": ["To solve the addition problem \\(35 + 43\\):\n\n1. First, let's break it down into simpler steps:\n - Add the ones place: 5 + 3 = 8\n - Add the tens place: 3 (from 35) + 4 (from 43) = 7\n - Combine the results: 78\n\nSo, the final answer is:\n\n\\boxed{78}\n\nIs this answer correct? No...
53
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
314
{"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\nUsing the numbers [8, 86, 92, 40], create an equation that equals 314. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 8 \\\\times 86 + 92 - 40 = 314 \\\\).\\n\\nStep 1: First, perform the multiplication \\\\( 8 \\\\times 86 \\\\).\\n\\n\\\\[\\n8 \\\\times 86 = 688\\n\\\\]\\n\\nStep 2: Add the result from Step 1 to the addition of 92 and -40.\\n\\n\\\\[\\n688 + 92 - 40 = 740\\n\\\\]\\n\\n...
["{'generation': \"To solve the equation \\\\( 8 \\\\times 86 + 92 - 40 = 314 \\\\).\\n\\nStep 1: First, perform the multiplication \\\\( 8 \\\\times 86 \\\\).\\n\\n\\\\[\\n8 \\\\times 86 = 688\\n\\\\]\\n\\nStep 2: Add the result from Step 1 to the addition of 92 and -40.\\n\\n\\\\[\\n688 + 92 - 40 = 740\\n\\\\]\\n\\nT...
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1ef149f29d2d9503c2b342164eabda5233c8d9df394af5ae47f3a644e2d86a03
748064be03a08df81e31bd6f9e7e7c4cc9f84b4401b9a3c6e85b7ff816d3ba68
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 8 \\times 86 + 92 - 40 = 314 \\).\n\nStep 1: First, perform the multiplication \\( 8 \\times 86 \\).\n\n\\[\n8 \\times 86 = 688\n\\]\n\nStep 2: Add the result from Step 1 to the addition of 92 and -40.\n\n\\[\n688 + 92 - 40 = 740\n\\]\n\nTherefore, the solution to the equation \\( 8 \\times ...
[{"budget_forced_chunks": ["To solve the equation \\( 8 \\times 86 + 92 - 40 = 314 \\).\n\nStep 1: First, perform the multiplication \\( 8 \\times 86 \\).\n\n\\[\n8 \\times 86 = 688\n\\]\n\nStep 2: Add the result from Step 1 to the addition of 92 and -40.\n\n\\[\n688 + 92 - 40 = 740\n\\]\n\nTherefore, the solution to t...
54
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
335
{"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\nUsing the numbers [73, 11, 5, 19], create an equation that equals 335. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 73 \\\\times 11 \\\\times 5 \\\\times 19 \\\\) using the given numbers [73, 11, 5, 19], we can break it down into simpler steps by combining like terms:\\n\\n1. Combine \\\\( 73 \\\\times 11 \\\\) and \\\\( 73 \\\\times 5 \\\\):\\n \\\\[\\n 73 \\\\times 11 = 73 \\\\ti...
["{'generation': \"To solve the equation \\\\( 73 \\\\times 11 \\\\times 5 \\\\times 19 \\\\) using the given numbers [73, 11, 5, 19], we can break it down into simpler steps by combining like terms:\\n\\n1. Combine \\\\( 73 \\\\times 11 \\\\) and \\\\( 73 \\\\times 5 \\\\):\\n \\\\[\\n 73 \\\\times 11 = 73 \\\\tim...
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95cb17051054649a35cbf899ed41f789d7fac7c5f73f90e1bd2862328fa92846
7acc684a848a9b954959fdd22493f48cf44eed028275b6b9999c7cade8956fc7
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 73 \\times 11 \\times 5 \\times 19 \\) using the given numbers [73, 11, 5, 19], we can break it down into simpler steps by combining like terms:\n\n1. Combine \\( 73 \\times 11 \\) and \\( 73 \\times 5 \\):\n \\[\n 73 \\times 11 = 73 \\times (10 + 1) = 730 + 73 = 803\n \\]\n \\[\n ...
[{"budget_forced_chunks": ["To solve the equation \\( 73 \\times 11 \\times 5 \\times 19 \\) using the given numbers [73, 11, 5, 19], we can break it down into simpler steps by combining like terms:\n\n1. Combine \\( 73 \\times 11 \\) and \\( 73 \\times 5 \\):\n \\[\n 73 \\times 11 = 73 \\times (10 + 1) = 730 + 73 ...
55
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
748
{"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\nUsing the numbers [45, 4, 44, 24], create an equation that equals 748. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the multiplication problem \\\\( 45 \\\\times 4 \\\\times 44 \\\\times 24 \\\\), we can break it down into simpler steps.\\n\\n1. **Break down the multiplication into smaller parts:**\\n \\\\[\\n 45 \\\\times 4 \\\\times 44 \\\\times 24 = (45 \\\\times 4) \\\\times (44 \\\\times 24)\\n ...
["{'generation': \"To solve the multiplication problem \\\\( 45 \\\\times 4 \\\\times 44 \\\\times 24 \\\\), we can break it down into simpler steps.\\n\\n1. **Break down the multiplication into smaller parts:**\\n \\\\[\\n 45 \\\\times 4 \\\\times 44 \\\\times 24 = (45 \\\\times 4) \\\\times (44 \\\\times 24)\\n ...
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b96fe27728f2f05e0656a186f1250bcc703d10e1eed954b7cfb09e4b530e5854
0c658eb5d61e88c86f37613342bbce6cbf278a9a86ba6514dc7e5c205f76c99f
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 45 \\times 4 \\times 44 \\times 24 \\), we can break it down into simpler steps.\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 45 \\times 4 \\times 44 \\times 24 = (45 \\times 4) \\times (44 \\times 24)\n \\]\n\n2. **Calculate \\( 45 \\times 4 \\):**...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 45 \\times 4 \\times 44 \\times 24 \\), we can break it down into simpler steps.\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 45 \\times 4 \\times 44 \\times 24 = (45 \\times 4) \\times (44 \\times 24)\n \\]\n\n2. **Calcula...
56
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
401
{"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\nUsing the numbers [7, 32, 65, 86], create an equation that equals 401. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 7 \\\\times 32 + 65 - 86 \\\\), we will perform the operations step by step.\\n\\n1. **Calculate \\\\( 7 \\\\times 32 \\\\):**\\n \\\\[\\n 7 \\\\times 32 = 7 \\\\times (30 + 2) = 7 \\\\times 30 + 7 \\\\times 2 = 210 + 14 = 224\\n \\\\]\\n\\n2. **Calculate \\\\( 224 ...
["{'generation': \"To solve the equation \\\\( 7 \\\\times 32 + 65 - 86 \\\\), we will perform the operations step by step.\\n\\n1. **Calculate \\\\( 7 \\\\times 32 \\\\):**\\n \\\\[\\n 7 \\\\times 32 = 7 \\\\times (30 + 2) = 7 \\\\times 30 + 7 \\\\times 2 = 210 + 14 = 224\\n \\\\]\\n\\n2. **Calculate \\\\( 224 +...
a891a1e3d199beac1493ad51f1fbc91cc28e5df8991a6ffdd6bbb50affa6094e
90fd1fd3bc5543c20b0e6c21677ac18e76a8c9a50e4078cf31ebc89f7b7a2d5a
dcaadad1cfce437735b81ab025f776e5857e48558c47f6960e6a5f2595664a85
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 7 \\times 32 + 65 - 86 \\), we will perform the operations step by step.\n\n1. **Calculate \\( 7 \\times 32 \\):**\n \\[\n 7 \\times 32 = 7 \\times (30 + 2) = 7 \\times 30 + 7 \\times 2 = 210 + 14 = 224\n \\]\n\n2. **Calculate \\( 224 + 65 \\):**\n \\[\n 224 + 65 = 224 + (60 + 5) =...
[{"budget_forced_chunks": ["To solve the equation \\( 7 \\times 32 + 65 - 86 \\), we will perform the operations step by step.\n\n1. **Calculate \\( 7 \\times 32 \\):**\n \\[\n 7 \\times 32 = 7 \\times (30 + 2) = 7 \\times 30 + 7 \\times 2 = 210 + 14 = 224\n \\]\n\n2. **Calculate \\( 224 + 65 \\):**\n \\[\n 2...
57
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
320
{"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\nUsing the numbers [4, 34, 93, 21], create an equation that equals 320. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 4 \\\\times 34 \\\\times 93 \\\\times 21 \\\\), we can break it down into smaller, more manageable parts.\\n\\nFirst, let's pair the numbers and see if we can simplify the multiplication:\\n\\n\\\\( 4 \\\\times 21 = 84 \\\\)\\n\\nNow, let's multiply the result by the rema...
["{'generation': \"To solve the equation \\\\( 4 \\\\times 34 \\\\times 93 \\\\times 21 \\\\), we can break it down into smaller, more manageable parts.\\n\\nFirst, let's pair the numbers and see if we can simplify the multiplication:\\n\\n\\\\( 4 \\\\times 21 = 84 \\\\)\\n\\nNow, let's multiply the result by the remai...
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4c6d7f3313e4281bc77c9f3cd0cdb2f0e0ffeb99a2481367be78a735463a60f1
88820462180e5c893eff2ed73f4ec33e205d1cd5acc4d17fa7b2bca2495d3448
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 4 \\times 34 \\times 93 \\times 21 \\), we can break it down into smaller, more manageable parts.\n\nFirst, let's pair the numbers and see if we can simplify the multiplication:\n\n\\( 4 \\times 21 = 84 \\)\n\nNow, let's multiply the result by the remaining single-digit number:\n\n\\( 84 \\t...
[{"budget_forced_chunks": ["To solve the equation \\( 4 \\times 34 \\times 93 \\times 21 \\), we can break it down into smaller, more manageable parts.\n\nFirst, let's pair the numbers and see if we can simplify the multiplication:\n\n\\( 4 \\times 21 = 84 \\)\n\nNow, let's multiply the result by the remaining single-d...
58
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
104
{"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\nUsing the numbers [88, 2, 94, 34], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the problem of adding 88, 2, 94, and 34 to get a sum of 104, we can break it down into simpler steps:\\n\\n1. First, we add 88 and 2:\\n \\\\[\\n 88 + 2 = 90\\n \\\\]\\n\\n2. Next, we add 90 and 94:\\n \\\\[\\n 90 + 94 = 184\\n \\\\]\\n\\n3. Finally, we add 184 and 34:\\n \\\\...
["{'generation': \"To solve the problem of adding 88, 2, 94, and 34 to get a sum of 104, we can break it down into simpler steps:\\n\\n1. First, we add 88 and 2:\\n \\\\[\\n 88 + 2 = 90\\n \\\\]\\n\\n2. Next, we add 90 and 94:\\n \\\\[\\n 90 + 94 = 184\\n \\\\]\\n\\n3. Finally, we add 184 and 34:\\n \\\\[...
660d3cc4d6732dac11793270450b26506ee5a96c90ecfbb87214fa4115963d25
e3df6ab0aa76ecff508dc6410610b5e1369e9886f411c4f108f70e530b6b0cb9
5ef6fdf32513aa7cd11f72beccf132b9224d33f271471fff402742887a171edf
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 88, 2, 94, and 34 to get a sum of 104, we can break it down into simpler steps:\n\n1. First, we add 88 and 2:\n \\[\n 88 + 2 = 90\n \\]\n\n2. Next, we add 90 and 94:\n \\[\n 90 + 94 = 184\n \\]\n\n3. Finally, we add 184 and 34:\n \\[\n 184 + 34 = 218\n \\]\n\nSo, the s...
[{"budget_forced_chunks": ["To solve the problem of adding 88, 2, 94, and 34 to get a sum of 104, we can break it down into simpler steps:\n\n1. First, we add 88 and 2:\n \\[\n 88 + 2 = 90\n \\]\n\n2. Next, we add 90 and 94:\n \\[\n 90 + 94 = 184\n \\]\n\n3. Finally, we add 184 and 34:\n \\[\n 184 + 34 ...
59
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
138
{"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\nUsing the numbers [36, 99, 21, 96], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation 138 using the numbers [36, 99, 21, 96], we can follow these steps:\\n\\nStep 1: Multiply 96 by 21.\\n96 * 21 = 1346\\n\\nStep 2: Multiply 36 by 99.\\n36 * 99 = 3524\\n\\nStep 3: Add the results from Step 1 and Step 2.\\n1346 + 3524 = 4870\\n\\nSo, the final answer is 4870.\\n\\...
["{'generation': \"To solve the equation 138 using the numbers [36, 99, 21, 96], we can follow these steps:\\n\\nStep 1: Multiply 96 by 21.\\n96 * 21 = 1346\\n\\nStep 2: Multiply 36 by 99.\\n36 * 99 = 3524\\n\\nStep 3: Add the results from Step 1 and Step 2.\\n1346 + 3524 = 4870\\n\\nSo, the final answer is 4870.\\n\\n...
d820b4381ce48bfaaef432a0873fab7f7dab5200c46a7da9eef6a2566f3241e6
570d2ef58a51e31bc51c93634a7d4933174437c0de52a922b33a91dc3bd85082
d6a4031733610bb080d0bfa794fcc9dbdcff74834aeaab7c6b927e21e9754037
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 138 using the numbers [36, 99, 21, 96], we can follow these steps:\n\nStep 1: Multiply 96 by 21.\n96 * 21 = 1346\n\nStep 2: Multiply 36 by 99.\n36 * 99 = 3524\n\nStep 3: Add the results from Step 1 and Step 2.\n1346 + 3524 = 4870\n\nSo, the final answer is 4870.\n\nIs this answer correct? No Wai...
[{"budget_forced_chunks": ["To solve the equation 138 using the numbers [36, 99, 21, 96], we can follow these steps:\n\nStep 1: Multiply 96 by 21.\n96 * 21 = 1346\n\nStep 2: Multiply 36 by 99.\n36 * 99 = 3524\n\nStep 3: Add the results from Step 1 and Step 2.\n1346 + 3524 = 4870\n\nSo, the final answer is 4870.\n\nIs t...
60
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
101
{"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\nUsing the numbers [49, 97, 30, 15], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 49 + 97 + 30 + 15 = 101 \\\\), we will add the numbers step by step.\\n\\n1. **Add 49 and 97:**\\n - \\\\( 49 + 97 = 146 \\\\)\\n\\n2. **Add the result to 30:**\\n - \\\\( 146 + 30 = 176 \\\\)\\n\\n3. **Add the result to 15:**\\n - \\\\( 176 + 15 = 191 \\\\)\\n\\nSo...
["{'generation': \"To solve the equation \\\\( 49 + 97 + 30 + 15 = 101 \\\\), we will add the numbers step by step.\\n\\n1. **Add 49 and 97:**\\n - \\\\( 49 + 97 = 146 \\\\)\\n\\n2. **Add the result to 30:**\\n - \\\\( 146 + 30 = 176 \\\\)\\n\\n3. **Add the result to 15:**\\n - \\\\( 176 + 15 = 191 \\\\)\\n\\nSo,...
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dfa8255d811c02e103536d49ed5269331d1103824310af53df7a2e7d4c38650e
16dc368a89b428b2485484313ba67a3912ca03f2b2b42429174a4f8b3dc84e44
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 49 + 97 + 30 + 15 = 101 \\), we will add the numbers step by step.\n\n1. **Add 49 and 97:**\n - \\( 49 + 97 = 146 \\)\n\n2. **Add the result to 30:**\n - \\( 146 + 30 = 176 \\)\n\n3. **Add the result to 15:**\n - \\( 176 + 15 = 191 \\)\n\nSo, the final solution is \\( 49 + 97 + 30 + 15...
[{"budget_forced_chunks": ["To solve the equation \\( 49 + 97 + 30 + 15 = 101 \\), we will add the numbers step by step.\n\n1. **Add 49 and 97:**\n - \\( 49 + 97 = 146 \\)\n\n2. **Add the result to 30:**\n - \\( 146 + 30 = 176 \\)\n\n3. **Add the result to 15:**\n - \\( 176 + 15 = 191 \\)\n\nSo, the final solutio...
61
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
188
{"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\nUsing the numbers [88, 76, 47, 50], create an equation that equals 188. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the problem of adding 88, 76, 47, and 50 to get 188, we can follow this steps:\\n\\nStep 1: Add 88 and 76.\\n88 + 76 = 164\\n\\nStep 2: Add the result from Step 1 to 47.\\n164 + 47 = 211\\n\\nStep 3: Add the result from Step 2 to 50.\\n211 + 50 = 261\\n\\nHowever, we need the final answer t...
["{'generation': \"To solve the problem of adding 88, 76, 47, and 50 to get 188, we can follow this steps:\\n\\nStep 1: Add 88 and 76.\\n88 + 76 = 164\\n\\nStep 2: Add the result from Step 1 to 47.\\n164 + 47 = 211\\n\\nStep 3: Add the result from Step 2 to 50.\\n211 + 50 = 261\\n\\nHowever, we need the final answer to...
6ec8a6b3a61528d0e790b02e5c5eedd70c0a518d63a0a92efa51c16d1ddbb6be
a5a9737bbc1ae1fdced893b5be48289ef97cb5f1d88e84f460070c2a0dd0638e
d6061bbee6cf13bd73765faaea7cdd0af1323e4b125342ac346047f7c4bda1fc
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 88, 76, 47, and 50 to get 188, we can follow this steps:\n\nStep 1: Add 88 and 76.\n88 + 76 = 164\n\nStep 2: Add the result from Step 1 to 47.\n164 + 47 = 211\n\nStep 3: Add the result from Step 2 to 50.\n211 + 50 = 261\n\nHowever, we need the final answer to be 188, not 261. Let's chec...
[{"budget_forced_chunks": ["To solve the problem of adding 88, 76, 47, and 50 to get 188, we can follow this steps:\n\nStep 1: Add 88 and 76.\n88 + 76 = 164\n\nStep 2: Add the result from Step 1 to 47.\n164 + 47 = 211\n\nStep 3: Add the result from Step 2 to 50.\n211 + 50 = 261\n\nHowever, we need the final answer to b...
62
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
149
{"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\nUsing the numbers [52, 12, 78, 7], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\(52 - 12 = 78\\\\), then add \\\\(78 + 7 = 85\\\\). \\n\\nSo, the final result is \\\\(85\\\\).\\n\\nIs this answer correct? No Wait, how? 52 - 12 = 40, then 40 + 78 = 118, and 118 + 7 = 125. \\n\\nThe correct steps are: \\n\\n1. \\\\(52 - 12 = 40\\\\) \\n2. \\\\(40 + 78 = ...
["{'generation': \"To solve the equation \\\\(52 - 12 = 78\\\\), then add \\\\(78 + 7 = 85\\\\). \\n\\nSo, the final result is \\\\(85\\\\).\\n\\nIs this answer correct? No Wait, how? 52 - 12 = 40, then 40 + 78 = 118, and 118 + 7 = 125. \\n\\nThe correct steps are: \\n\\n1. \\\\(52 - 12 = 40\\\\) \\n2. \\\\(40 + 78 = 1...
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05ada863a4cf9660fd8c68e2295f1d35b2264815f5b605003d6625bd9e0492cf
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(52 - 12 = 78\\), then add \\(78 + 7 = 85\\). \n\nSo, the final result is \\(85\\).\n\nIs this answer correct? No Wait, how? 52 - 12 = 40, then 40 + 78 = 118, and 118 + 7 = 125. \n\nThe correct steps are: \n\n1. \\(52 - 12 = 40\\) \n2. \\(40 + 78 = 118\\)\n3. \\(118 + 7 = 125\\)\n\nTherefore, ...
[{"budget_forced_chunks": ["To solve the equation \\(52 - 12 = 78\\), then add \\(78 + 7 = 85\\). \n\nSo, the final result is \\(85\\).\n\nIs this answer correct? No", " Wait, how? 52 - 12 = 40, then 40 + 78 = 118, and 118 + 7 = 125. \n\nThe correct steps are: \n\n1. \\(52 - 12 = 40\\) \n2. \\(40 + 78 = 118\\)\n3. \\(1...
63
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
896
{"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\nUsing the numbers [16, 56, 1, 1], create an equation that equals 896. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': 'To solve the multiplication problem \\\\( 16 \\\\times 56 \\\\times 1 \\\\times 1 \\\\), we can break it down into simpler steps.\\n\\nStep 1: Multiply the units digit of 16 by 6.\\n\\\\( 6 \\\\times 1 = 6 \\\\)\\n\\nStep 2: Multiply the units digit of 16 by 5.\\n\\\\( 6 \\\\times 5 = 30 \\\\)\\n\\nS...
["{'generation': 'To solve the multiplication problem \\\\( 16 \\\\times 56 \\\\times 1 \\\\times 1 \\\\), we can break it down into simpler steps.\\n\\nStep 1: Multiply the units digit of 16 by 6.\\n\\\\( 6 \\\\times 1 = 6 \\\\)\\n\\nStep 2: Multiply the units digit of 16 by 5.\\n\\\\( 6 \\\\times 5 = 30 \\\\)\\n\\nSt...
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ca91dc5930ddbc5f56cbf8f7cbd2934d02124dc8aeb4c2001ca441684974ef76
62f6d46c48c7d9ff3d09a408d0ec880f167a5dc9c8fd343a4e56e96318349583
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 16 \\times 56 \\times 1 \\times 1 \\), we can break it down into simpler steps.\n\nStep 1: Multiply the units digit of 16 by 6.\n\\( 6 \\times 1 = 6 \\)\n\nStep 2: Multiply the units digit of 16 by 5.\n\\( 6 \\times 5 = 30 \\)\n\nStep 3: Add the results from Step 1 and Step 2.\...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 16 \\times 56 \\times 1 \\times 1 \\), we can break it down into simpler steps.\n\nStep 1: Multiply the units digit of 16 by 6.\n\\( 6 \\times 1 = 6 \\)\n\nStep 2: Multiply the units digit of 16 by 5.\n\\( 6 \\times 5 = 30 \\)\n\nStep 3: Add the result...
64
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
297
{"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\nUsing the numbers [26, 6, 21, 12], create an equation that equals 297. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the multiplication problem \\\\( 26 \\\\times 6 \\\\times 21 \\\\times 12 \\\\), we'll break it down into simpler steps.\\n\\n### Step 1: Break down the multiplication\\nWe can rewrite the multiplication as:\\n\\\\[ 26 \\\\times (6 \\\\times 21) \\\\times 12 \\\\]\\n\\n### Step 2: Multiply ...
["{'generation': \"To solve the multiplication problem \\\\( 26 \\\\times 6 \\\\times 21 \\\\times 12 \\\\), we'll break it down into simpler steps.\\n\\n### Step 1: Break down the multiplication\\nWe can rewrite the multiplication as:\\n\\\\[ 26 \\\\times (6 \\\\times 21) \\\\times 12 \\\\]\\n\\n### Step 2: Multiply \...
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4c15f47afe7f817fd559e12ddbc276f4930c5822f2049088d6f6605bec7cea56
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 26 \\times 6 \\times 21 \\times 12 \\), we'll break it down into simpler steps.\n\n### Step 1: Break down the multiplication\nWe can rewrite the multiplication as:\n\\[ 26 \\times (6 \\times 21) \\times 12 \\]\n\n### Step 2: Multiply \\( 6 \\times 21 \\)\nFirst, multiply \\( 6 ...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 26 \\times 6 \\times 21 \\times 12 \\), we'll break it down into simpler steps.\n\n### Step 1: Break down the multiplication\nWe can rewrite the multiplication as:\n\\[ 26 \\times (6 \\times 21) \\times 12 \\]\n\n### Step 2: Multiply \\( 6 \\times 21 \...
65
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
132
{"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\nUsing the numbers [10, 79, 72, 29], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(10 \\\\times 79 \\\\times 72 \\\\times 29\\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\\n\\nFirst, let's group 79 and 29 together:\\n\\\\[ 10 \\\\times 79 \\\\times 72 \\\\times 29 = 10 \\\\times (79 \\\\...
["{'generation': \"To solve the equation \\\\(10 \\\\times 79 \\\\times 72 \\\\times 29\\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\\n\\nFirst, let's group 79 and 29 together:\\n\\\\[ 10 \\\\times 79 \\\\times 72 \\\\times 29 = 10 \\\\times (79 \\\\t...
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dbb1ded63bc70732626c5dfe6c7f50ced3d560e970f30b15335ac290358748f6
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(10 \\times 79 \\times 72 \\times 29\\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\n\nFirst, let's group 79 and 29 together:\n\\[ 10 \\times 79 \\times 72 \\times 29 = 10 \\times (79 \\times 29) \\times 72 \\]\n\nNow, calculate ...
[{"budget_forced_chunks": ["To solve the equation \\(10 \\times 79 \\times 72 \\times 29\\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\n\nFirst, let's group 79 and 29 together:\n\\[ 10 \\times 79 \\times 72 \\times 29 = 10 \\times (79 \\times 29) \\times...
66
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
678
{"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\nUsing the numbers [55, 13, 73, 62], create an equation that equals 678. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 55 + 13 + 73 + 62, we can break it down into smaller steps:\\n\\nStep 1: 13 + 73 = 86\\nStep 2: 55 + 86 = 141\\nStep 3: 141 + 62 = 203\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n203\\n</answer>\\n\\nIs this answer correct? No But according to the given soluti...
["{'generation': \"To solve the addition problem 55 + 13 + 73 + 62, we can break it down into smaller steps:\\n\\nStep 1: 13 + 73 = 86\\nStep 2: 55 + 86 = 141\\nStep 3: 141 + 62 = 203\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n203\\n</answer>\\n\\nIs this answer correct? No But according to the given solutio...
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2de47d6ef0a984215e54d17cc72c3e3e3ed5848555b3ca4784ad814f4b87a7a1
cebe3d9d614ba5c19f633566104315854a11353a333bf96f16b5afa0e90abdc4
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 55 + 13 + 73 + 62, we can break it down into smaller steps:\n\nStep 1: 13 + 73 = 86\nStep 2: 55 + 86 = 141\nStep 3: 141 + 62 = 203\n\nTherefore, the final answer is:\n\n<answer>\n203\n</answer>\n\nIs this answer correct? No But according to the given solution, the correct answer is 678....
[{"budget_forced_chunks": ["To solve the addition problem 55 + 13 + 73 + 62, we can break it down into smaller steps:\n\nStep 1: 13 + 73 = 86\nStep 2: 55 + 86 = 141\nStep 3: 141 + 62 = 203\n\nTherefore, the final answer is:\n\n<answer>\n203\n</answer>\n\nIs this answer correct? No", " But according to the given soluti...
67
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
155
{"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\nUsing the numbers [100, 49, 91, 85], create an equation that equals 155. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your w...
[["{'generation': \"To solve the equation \\\\(100 - 49\\\\), we can break it down into simpler steps:\\n\\n1. First, consider \\\\(100 - 49\\\\). \\n2. Add 49 to 100 to get \\\\(100 + 49\\\\). \\n3. Now, add 91 to \\\\(100 + 49\\\\), i.e., \\\\(100 + 49 + 91\\\\). \\n4. Finally, add \\\\(85\\\\) to \\\\(100 + 49 + 91\...
["{'generation': \"To solve the equation \\\\(100 - 49\\\\), we can break it down into simpler steps:\\n\\n1. First, consider \\\\(100 - 49\\\\). \\n2. Add 49 to 100 to get \\\\(100 + 49\\\\). \\n3. Now, add 91 to \\\\(100 + 49\\\\), i.e., \\\\(100 + 49 + 91\\\\). \\n4. Finally, add \\\\(85\\\\) to \\\\(100 + 49 + 91\\...
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210e3b160c355818509425b9d9e9fd3ea2e287f2c43a13e5be8817140db0b9e6
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(100 - 49\\), we can break it down into simpler steps:\n\n1. First, consider \\(100 - 49\\). \n2. Add 49 to 100 to get \\(100 + 49\\). \n3. Now, add 91 to \\(100 + 49\\), i.e., \\(100 + 49 + 91\\). \n4. Finally, add \\(85\\) to \\(100 + 49 + 91\\), i.e., \\(100 + 49 + 91 + 85\\).\n\nLet's comp...
[{"budget_forced_chunks": ["To solve the equation \\(100 - 49\\), we can break it down into simpler steps:\n\n1. First, consider \\(100 - 49\\). \n2. Add 49 to 100 to get \\(100 + 49\\). \n3. Now, add 91 to \\(100 + 49\\), i.e., \\(100 + 49 + 91\\). \n4. Finally, add \\(85\\) to \\(100 + 49 + 91\\), i.e., \\(100 + 49 +...
68
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
131
{"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\nUsing the numbers [64, 29, 14, 82], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 64 \\\\times 29 \\\\times 14 + 82 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down multiplication into smaller parts:**\\n - First, calculate \\\\( 64 \\\\times 29 \\\\).\\n - Then, add the result of \\\\( 64 \\\\times 14 \\\\) to the previous resu...
["{'generation': \"To solve the equation \\\\( 64 \\\\times 29 \\\\times 14 + 82 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down multiplication into smaller parts:**\\n - First, calculate \\\\( 64 \\\\times 29 \\\\).\\n - Then, add the result of \\\\( 64 \\\\times 14 \\\\) to the previous resul...
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eeca91fd439b6d5e827e8fda7fee35046f2def93508637483f6be8a2df7a4392
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 64 \\times 29 \\times 14 + 82 \\), we can break it down into simpler steps:\n\n1. **Break down multiplication into smaller parts:**\n - First, calculate \\( 64 \\times 29 \\).\n - Then, add the result of \\( 64 \\times 14 \\) to the previous result.\n - Finally, add \\( 82 \\) to the r...
[{"budget_forced_chunks": ["To solve the equation \\( 64 \\times 29 \\times 14 + 82 \\), we can break it down into simpler steps:\n\n1. **Break down multiplication into smaller parts:**\n - First, calculate \\( 64 \\times 29 \\).\n - Then, add the result of \\( 64 \\times 14 \\) to the previous result.\n - Finall...
69
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
120
{"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\nUsing the numbers [79, 14, 55, 12], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(79 \\\\times 14 - 55 \\\\times 12\\\\), we can break it down into simpler steps.\\n\\nFirst, let's multiply 79 by 14:\\n\\n\\\\[\\n79 \\\\times 14 = 79 \\\\times (10 + 4) = 79 \\\\times 10 + 79 \\\\times 4 = 790 + 316 = 1106\\n\\\\]\\n\\nNext, let's multiply 55 by 12:\\n\\...
["{'generation': \"To solve the equation \\\\(79 \\\\times 14 - 55 \\\\times 12\\\\), we can break it down into simpler steps.\\n\\nFirst, let's multiply 79 by 14:\\n\\n\\\\[\\n79 \\\\times 14 = 79 \\\\times (10 + 4) = 79 \\\\times 10 + 79 \\\\times 4 = 790 + 316 = 1106\\n\\\\]\\n\\nNext, let's multiply 55 by 12:\\n\\n...
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2abaca4911e68fa9bfbf3482ee797fd5b9045b841fdff7253557c5fe15de6477
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(79 \\times 14 - 55 \\times 12\\), we can break it down into simpler steps.\n\nFirst, let's multiply 79 by 14:\n\n\\[\n79 \\times 14 = 79 \\times (10 + 4) = 79 \\times 10 + 79 \\times 4 = 790 + 316 = 1106\n\\]\n\nNext, let's multiply 55 by 12:\n\n\\[\n55 \\times 12 = 55 \\times (10 + 2) = 55 \...
[{"budget_forced_chunks": ["To solve the equation \\(79 \\times 14 - 55 \\times 12\\), we can break it down into simpler steps.\n\nFirst, let's multiply 79 by 14:\n\n\\[\n79 \\times 14 = 79 \\times (10 + 4) = 79 \\times 10 + 79 \\times 4 = 790 + 316 = 1106\n\\]\n\nNext, let's multiply 55 by 12:\n\n\\[\n55 \\times 12 = ...
70
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
124
{"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\nUsing the numbers [34, 59, 66, 97], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem \\\\(34 + 59 + 66 + 97\\\\), we will add the numbers step by step.\\n\\nFirst, let's add 34 and 59:\\n\\n\\\\[\\n34 + 59 = 93\\n\\\\]\\n\\nNext, we add 93 and 66:\\n\\n\\\\[\\n93 + 66 = 159\\n\\\\]\\n\\nFinally, we add 159 and 97:\\n\\n\\\\[\\n159 + 97 = 256\\n\\\\]\\n\...
["{'generation': \"To solve the addition problem \\\\(34 + 59 + 66 + 97\\\\), we will add the numbers step by step.\\n\\nFirst, let's add 34 and 59:\\n\\n\\\\[\\n34 + 59 = 93\\n\\\\]\\n\\nNext, we add 93 and 66:\\n\\n\\\\[\\n93 + 66 = 159\\n\\\\]\\n\\nFinally, we add 159 and 97:\\n\\n\\\\[\\n159 + 97 = 256\\n\\\\]\\n\\...
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6affdae3b3c1aa6aa7689e9b6a7b3225a636aa1ac0025f490cca1285ceaf1487
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\(34 + 59 + 66 + 97\\), we will add the numbers step by step.\n\nFirst, let's add 34 and 59:\n\n\\[\n34 + 59 = 93\n\\]\n\nNext, we add 93 and 66:\n\n\\[\n93 + 66 = 159\n\\]\n\nFinally, we add 159 and 97:\n\n\\[\n159 + 97 = 256\n\\]\n\nSo, the solution to the addition problem \\(34 + 59 ...
[{"budget_forced_chunks": ["To solve the addition problem \\(34 + 59 + 66 + 97\\), we will add the numbers step by step.\n\nFirst, let's add 34 and 59:\n\n\\[\n34 + 59 = 93\n\\]\n\nNext, we add 93 and 66:\n\n\\[\n93 + 66 = 159\n\\]\n\nFinally, we add 159 and 97:\n\n\\[\n159 + 97 = 256\n\\]\n\nSo, the solution to the ad...
71
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
147
{"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\nUsing the numbers [18, 89, 33, 73], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(18 \\\\times 89\\\\), we can break it down into simpler steps:\\n\\n1. **Break down the multiplication into smaller parts:**\\n \\\\[\\n 18 \\\\times 89 = 18 \\\\times (80 + 9)\\n \\\\]\\n This is because 89 can be expressed as the sum of 80 and 9.\\n\\n2. **Distri...
["{'generation': \"To solve the equation \\\\(18 \\\\times 89\\\\), we can break it down into simpler steps:\\n\\n1. **Break down the multiplication into smaller parts:**\\n \\\\[\\n 18 \\\\times 89 = 18 \\\\times (80 + 9)\\n \\\\]\\n This is because 89 can be expressed as the sum of 80 and 9.\\n\\n2. **Distrib...
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1d28c120568c10e19b9d8abe8b66d0983fa3d2e11ee7751aca50f83c6f4a43aa
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(18 \\times 89\\), we can break it down into simpler steps:\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 18 \\times 89 = 18 \\times (80 + 9)\n \\]\n This is because 89 can be expressed as the sum of 80 and 9.\n\n2. **Distribute the 18:**\n \\[\n 18 \\times (8...
[{"budget_forced_chunks": ["To solve the equation \\(18 \\times 89\\), we can break it down into simpler steps:\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 18 \\times 89 = 18 \\times (80 + 9)\n \\]\n This is because 89 can be expressed as the sum of 80 and 9.\n\n2. **Distribute the 18:**...
72
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
101
{"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\nUsing the numbers [25, 24, 41, 59], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the problem of adding 25 and 24, we can break it down into steps:\\n\\n1. Add 25 and 4 (to get close to 24):\\n \\\\[\\n 25 + 4 = 29\\n \\\\]\\n\\n2. Add 25 and 1 (to get the remaining part of 24):\\n \\\\[\\n 25 + 1 = 26\\n \\\\]\\n\\n3. Add the results from steps 1 and 2:\\n ...
["{'generation': 'To solve the problem of adding 25 and 24, we can break it down into steps:\\n\\n1. Add 25 and 4 (to get close to 24):\\n \\\\[\\n 25 + 4 = 29\\n \\\\]\\n\\n2. Add 25 and 1 (to get the remaining part of 24):\\n \\\\[\\n 25 + 1 = 26\\n \\\\]\\n\\n3. Add the results from steps 1 and 2:\\n \...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 25 and 24, we can break it down into steps:\n\n1. Add 25 and 4 (to get close to 24):\n \\[\n 25 + 4 = 29\n \\]\n\n2. Add 25 and 1 (to get the remaining part of 24):\n \\[\n 25 + 1 = 26\n \\]\n\n3. Add the results from steps 1 and 2:\n \\[\n 29 + 26 = 55\n \\]\n\nSo, th...
[{"budget_forced_chunks": ["To solve the problem of adding 25 and 24, we can break it down into steps:\n\n1. Add 25 and 4 (to get close to 24):\n \\[\n 25 + 4 = 29\n \\]\n\n2. Add 25 and 1 (to get the remaining part of 24):\n \\[\n 25 + 1 = 26\n \\]\n\n3. Add the results from steps 1 and 2:\n \\[\n 29 +...
73
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
299
{"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\nUsing the numbers [56, 7, 26, 5], create an equation that equals 299. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the equation \\\\( 56 \\\\times 7 \\\\times 26 \\\\times 5 \\\\), we will follow the standard long multiplication method. Let's break it down step by step:\\n\\n1. **Multiply the unit digit of the first number by the unit digit of the second number:**\\n \\\\[\\n 6 \\\\times 6 = 36\\n ...
["{'generation': \"To solve the equation \\\\( 56 \\\\times 7 \\\\times 26 \\\\times 5 \\\\), we will follow the standard long multiplication method. Let's break it down step by step:\\n\\n1. **Multiply the unit digit of the first number by the unit digit of the second number:**\\n \\\\[\\n 6 \\\\times 6 = 36\\n ...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 56 \\times 7 \\times 26 \\times 5 \\), we will follow the standard long multiplication method. Let's break it down step by step:\n\n1. **Multiply the unit digit of the first number by the unit digit of the second number:**\n \\[\n 6 \\times 6 = 36\n \\]\n Write down 6 and carry over ...
[{"budget_forced_chunks": ["To solve the equation \\( 56 \\times 7 \\times 26 \\times 5 \\), we will follow the standard long multiplication method. Let's break it down step by step:\n\n1. **Multiply the unit digit of the first number by the unit digit of the second number:**\n \\[\n 6 \\times 6 = 36\n \\]\n Wr...
74
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
132
{"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\nUsing the numbers [41, 99, 71, 3], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem 41 + 99 + 71 + 3, we can break it down into simpler steps:\\n\\n1. First, add 41 and 3:\\n 41 + 3 = 44\\n\\n2. Then, add 44 and 99:\\n 44 + 99 = 143\\n\\n3. Finally, add 143 and 71:\\n 143 + 71 = 214\\n\\nSo, the solution to the addition problem is 214.\\n\\n<answ...
["{'generation': \"To solve the addition problem 41 + 99 + 71 + 3, we can break it down into simpler steps:\\n\\n1. First, add 41 and 3:\\n 41 + 3 = 44\\n\\n2. Then, add 44 and 99:\\n 44 + 99 = 143\\n\\n3. Finally, add 143 and 71:\\n 143 + 71 = 214\\n\\nSo, the solution to the addition problem is 214.\\n\\n<answe...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 41 + 99 + 71 + 3, we can break it down into simpler steps:\n\n1. First, add 41 and 3:\n 41 + 3 = 44\n\n2. Then, add 44 and 99:\n 44 + 99 = 143\n\n3. Finally, add 143 and 71:\n 143 + 71 = 214\n\nSo, the solution to the addition problem is 214.\n\n<answer>\n214\n</answer>\n\nIs this ...
[{"budget_forced_chunks": ["To solve the addition problem 41 + 99 + 71 + 3, we can break it down into simpler steps:\n\n1. First, add 41 and 3:\n 41 + 3 = 44\n\n2. Then, add 44 and 99:\n 44 + 99 = 143\n\n3. Finally, add 143 and 71:\n 143 + 71 = 214\n\nSo, the solution to the addition problem is 214.\n\n<answer>\n...
75
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
920
{"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\nUsing the numbers [89, 8, 8, 34], create an equation that equals 920. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the multiplication problem \\\\(89 \\\\times 88 \\\\times 87 \\\\times \\\\cdots \\\\times 8 \\\\times 34\\\\), we can use the standard algorithm for multiplication. However, to keep the format manageable, we will break it into smaller steps of multiplication plus some additional calculatio...
["{'generation': \"To solve the multiplication problem \\\\(89 \\\\times 88 \\\\times 87 \\\\times \\\\cdots \\\\times 8 \\\\times 34\\\\), we can use the standard algorithm for multiplication. However, to keep the format manageable, we will break it into smaller steps of multiplication plus some additional calculation...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\(89 \\times 88 \\times 87 \\times \\cdots \\times 8 \\times 34\\), we can use the standard algorithm for multiplication. However, to keep the format manageable, we will break it into smaller steps of multiplication plus some additional calculations.\n\nFirst, let's calculate \\(8...
[{"budget_forced_chunks": ["To solve the multiplication problem \\(89 \\times 88 \\times 87 \\times \\cdots \\times 8 \\times 34\\), we can use the standard algorithm for multiplication. However, to keep the format manageable, we will break it into smaller steps of multiplication plus some additional calculations.\n\nF...
76
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
133
{"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\nUsing the numbers [62, 94, 61, 40], create an equation that equals 133. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 62 + 94 + 61 + 40 = 133 \\\\), we will add the numbers step by step.\\n\\n1. **Add 62 and 94:**\\n \\\\[\\n 62 + 94 = 156\\n \\\\]\\n\\n2. **Add 61 to the result from step 1:**\\n \\\\[\\n 156 + 61 = 217\\n \\\\]\\n\\n3. **Add 40 to the result from step 2:**\\...
["{'generation': \"To solve the equation \\\\( 62 + 94 + 61 + 40 = 133 \\\\), we will add the numbers step by step.\\n\\n1. **Add 62 and 94:**\\n \\\\[\\n 62 + 94 = 156\\n \\\\]\\n\\n2. **Add 61 to the result from step 1:**\\n \\\\[\\n 156 + 61 = 217\\n \\\\]\\n\\n3. **Add 40 to the result from step 2:**\\n...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 62 + 94 + 61 + 40 = 133 \\), we will add the numbers step by step.\n\n1. **Add 62 and 94:**\n \\[\n 62 + 94 = 156\n \\]\n\n2. **Add 61 to the result from step 1:**\n \\[\n 156 + 61 = 217\n \\]\n\n3. **Add 40 to the result from step 2:**\n \\[\n 217 + 40 = 257\n \\]\n\nThus,...
[{"budget_forced_chunks": ["To solve the equation \\( 62 + 94 + 61 + 40 = 133 \\), we will add the numbers step by step.\n\n1. **Add 62 and 94:**\n \\[\n 62 + 94 = 156\n \\]\n\n2. **Add 61 to the result from step 1:**\n \\[\n 156 + 61 = 217\n \\]\n\n3. **Add 40 to the result from step 2:**\n \\[\n 217 +...
77
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
120
{"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\nUsing the numbers [24, 7, 66, 23], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': 'To solve the problem of multiplying 24, 7, 66, and 23 to get 120, we can follow these steps:\\n\\n1. First, we need to multiply 24 and 7, which will give us a number close to 120.\\n - 24 * 7 = 168\\n\\n2. Now, we need to multiply the result from step 1 by 66.\\n - 168 * 66 = 11,288\\n\\n3. Final...
["{'generation': 'To solve the problem of multiplying 24, 7, 66, and 23 to get 120, we can follow these steps:\\n\\n1. First, we need to multiply 24 and 7, which will give us a number close to 120.\\n - 24 * 7 = 168\\n\\n2. Now, we need to multiply the result from step 1 by 66.\\n - 168 * 66 = 11,288\\n\\n3. Finall...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of multiplying 24, 7, 66, and 23 to get 120, we can follow these steps:\n\n1. First, we need to multiply 24 and 7, which will give us a number close to 120.\n - 24 * 7 = 168\n\n2. Now, we need to multiply the result from step 1 by 66.\n - 168 * 66 = 11,288\n\n3. Finally, we need to multiply t...
[{"budget_forced_chunks": ["To solve the problem of multiplying 24, 7, 66, and 23 to get 120, we can follow these steps:\n\n1. First, we need to multiply 24 and 7, which will give us a number close to 120.\n - 24 * 7 = 168\n\n2. Now, we need to multiply the result from step 1 by 66.\n - 168 * 66 = 11,288\n\n3. Fina...
78
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
131
{"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\nUsing the numbers [20, 62, 65, 24], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 20 + 62 + 65 + 24, we can break it down into smaller steps:\\n\\n1. First, add 20 and 62:\\n \\\\[\\n 20 + 62 = 82\\n \\\\]\\n\\n2. Next, add 82 and 65:\\n \\\\[\\n 82 + 65 = 147\\n \\\\]\\n\\n3. Finally, add 147 and 24:\\n \\\\[\\n 147 + 24 = 171\\n \...
["{'generation': \"To solve the addition problem 20 + 62 + 65 + 24, we can break it down into smaller steps:\\n\\n1. First, add 20 and 62:\\n \\\\[\\n 20 + 62 = 82\\n \\\\]\\n\\n2. Next, add 82 and 65:\\n \\\\[\\n 82 + 65 = 147\\n \\\\]\\n\\n3. Finally, add 147 and 24:\\n \\\\[\\n 147 + 24 = 171\\n \\...
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4baa6f498960705121c745f50bcec52679381c8e0599b5027de848837f8403db
eeca91fd439b6d5e827e8fda7fee35046f2def93508637483f6be8a2df7a4392
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 20 + 62 + 65 + 24, we can break it down into smaller steps:\n\n1. First, add 20 and 62:\n \\[\n 20 + 62 = 82\n \\]\n\n2. Next, add 82 and 65:\n \\[\n 82 + 65 = 147\n \\]\n\n3. Finally, add 147 and 24:\n \\[\n 147 + 24 = 171\n \\]\n\nSo, the solution to the equation 20 +...
[{"budget_forced_chunks": ["To solve the addition problem 20 + 62 + 65 + 24, we can break it down into smaller steps:\n\n1. First, add 20 and 62:\n \\[\n 20 + 62 = 82\n \\]\n\n2. Next, add 82 and 65:\n \\[\n 82 + 65 = 147\n \\]\n\n3. Finally, add 147 and 24:\n \\[\n 147 + 24 = 171\n \\]\n\nSo, the sol...
79
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
124
{"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\nUsing the numbers [1, 48, 71, 4], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the addition problem \\\\(1 + 2\\\\), we get the result \\\\(3\\\\).\\n\\nNext, we need to divide \\\\(3\\\\) by \\\\(3\\\\), which gives us \\\\(1\\\\).\\n\\nFinally, we divide \\\\(1\\\\) by \\\\(4\\\\) (since \\\\(4\\\\) is the remaining number after using \\\\(1\\\\) for the previous st...
["{'generation': \"To solve the addition problem \\\\(1 + 2\\\\), we get the result \\\\(3\\\\).\\n\\nNext, we need to divide \\\\(3\\\\) by \\\\(3\\\\), which gives us \\\\(1\\\\).\\n\\nFinally, we divide \\\\(1\\\\) by \\\\(4\\\\) (since \\\\(4\\\\) is the remaining number after using \\\\(1\\\\) for the previous ste...
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6affdae3b3c1aa6aa7689e9b6a7b3225a636aa1ac0025f490cca1285ceaf1487
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\(1 + 2\\), we get the result \\(3\\).\n\nNext, we need to divide \\(3\\) by \\(3\\), which gives us \\(1\\).\n\nFinally, we divide \\(1\\) by \\(4\\) (since \\(4\\) is the remaining number after using \\(1\\) for the previous step), which gives us \\(0.25\\).\n\nSo, the final result is...
[{"budget_forced_chunks": ["To solve the addition problem \\(1 + 2\\), we get the result \\(3\\).\n\nNext, we need to divide \\(3\\) by \\(3\\), which gives us \\(1\\).\n\nFinally, we divide \\(1\\) by \\(4\\) (since \\(4\\) is the remaining number after using \\(1\\) for the previous step), which gives us \\(0.25\\).\...
80
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
153
{"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\nUsing the numbers [19, 93, 23, 64], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 19 + 93 + 23 + 64, we can break it down into smaller steps:\\n\\nStep 1: 19 + 93 = 112\\nStep 2: 112 + 23 = 135\\nStep 3: 135 + 64 = 199\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n199\\n</answer>\\n\\nIs this answer correct? No But to confirm, 199 is not one o...
["{'generation': \"To solve the addition problem 19 + 93 + 23 + 64, we can break it down into smaller steps:\\n\\nStep 1: 19 + 93 = 112\\nStep 2: 112 + 23 = 135\\nStep 3: 135 + 64 = 199\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n199\\n</answer>\\n\\nIs this answer correct? No But to confirm, 199 is not one of...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 19 + 93 + 23 + 64, we can break it down into smaller steps:\n\nStep 1: 19 + 93 = 112\nStep 2: 112 + 23 = 135\nStep 3: 135 + 64 = 199\n\nTherefore, the final answer is:\n\n<answer>\n199\n</answer>\n\nIs this answer correct? No But to confirm, 199 is not one of the given options [19, 93, 2...
[{"budget_forced_chunks": ["To solve the addition problem 19 + 93 + 23 + 64, we can break it down into smaller steps:\n\nStep 1: 19 + 93 = 112\nStep 2: 112 + 23 = 135\nStep 3: 135 + 64 = 199\n\nTherefore, the final answer is:\n\n<answer>\n199\n</answer>\n\nIs this answer correct? No", " But to confirm, 199 is not one o...
81
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
246
{"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\nUsing the numbers [50, 64, 79, 53], create an equation that equals 246. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the equation \\\\(50 \\\\times 64\\\\) step by step, we can break it down into simpler parts:\\n\\n1. First, break down 50 into 50 = 10 * 5.\\n \\\\[\\n 50 \\\\times 64 = (10 \\\\times 5) \\\\times 64\\n \\\\]\\n\\n2. Now, perform the multiplication inside the parentheses:\\n \\\\[\\...
["{'generation': 'To solve the equation \\\\(50 \\\\times 64\\\\) step by step, we can break it down into simpler parts:\\n\\n1. First, break down 50 into 50 = 10 * 5.\\n \\\\[\\n 50 \\\\times 64 = (10 \\\\times 5) \\\\times 64\\n \\\\]\\n\\n2. Now, perform the multiplication inside the parentheses:\\n \\\\[\\n...
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37c20f19f3272b5ccc3a5d80587eb9deb3f4afcf568c4280fb195568da8eb1a2
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(50 \\times 64\\) step by step, we can break it down into simpler parts:\n\n1. First, break down 50 into 50 = 10 * 5.\n \\[\n 50 \\times 64 = (10 \\times 5) \\times 64\n \\]\n\n2. Now, perform the multiplication inside the parentheses:\n \\[\n (10 \\times 5) = 50\n \\]\n\n So,\n ...
[{"budget_forced_chunks": ["To solve the equation \\(50 \\times 64\\) step by step, we can break it down into simpler parts:\n\n1. First, break down 50 into 50 = 10 * 5.\n \\[\n 50 \\times 64 = (10 \\times 5) \\times 64\n \\]\n\n2. Now, perform the multiplication inside the parentheses:\n \\[\n (10 \\times 5)...
82
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
323
{"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\nUsing the numbers [23, 29, 44, 15], create an equation that equals 323. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 23 + 29, we can break it down into smaller steps:\\n\\n1. First, let's add 23 to 9:\\n \\\\[\\n 23 + 9 = 32\\n \\\\]\\n\\n2. Next, we add 23 to 10:\\n \\\\[\\n 23 + 10 = 33\\n \\\\]\\n\\n3. Now, we add the results from the above steps:\\n \\\\[\\n 32 + 3...
["{'generation': \"To solve the addition problem 23 + 29, we can break it down into smaller steps:\\n\\n1. First, let's add 23 to 9:\\n \\\\[\\n 23 + 9 = 32\\n \\\\]\\n\\n2. Next, we add 23 to 10:\\n \\\\[\\n 23 + 10 = 33\\n \\\\]\\n\\n3. Now, we add the results from the above steps:\\n \\\\[\\n 32 + 33...
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3949ac1596ec77106a709a618bf5adcb19b77537ce8bcbdf54ff830169cdd084
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 23 + 29, we can break it down into smaller steps:\n\n1. First, let's add 23 to 9:\n \\[\n 23 + 9 = 32\n \\]\n\n2. Next, we add 23 to 10:\n \\[\n 23 + 10 = 33\n \\]\n\n3. Now, we add the results from the above steps:\n \\[\n 32 + 33 = 65\n \\]\n\nSo, the solution to the ...
[{"budget_forced_chunks": ["To solve the addition problem 23 + 29, we can break it down into smaller steps:\n\n1. First, let's add 23 to 9:\n \\[\n 23 + 9 = 32\n \\]\n\n2. Next, we add 23 to 10:\n \\[\n 23 + 10 = 33\n \\]\n\n3. Now, we add the results from the above steps:\n \\[\n 32 + 33 = 65\n \\]\n...
83
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
440
{"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\nUsing the numbers [49, 15, 89, 8], create an equation that equals 440. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 49 \\\\times 15 \\\\times 89 \\\\times 8 \\\\) using the given numbers, we can follow these steps:\\n\\n1. **Break down the multiplication into smaller parts**:\\n - First, multiply \\\\( 49 \\\\times 15 \\\\).\\n - Then, multiply the result by \\\\( 89 \\\\).\\n - ...
["{'generation': \"To solve the equation \\\\( 49 \\\\times 15 \\\\times 89 \\\\times 8 \\\\) using the given numbers, we can follow these steps:\\n\\n1. **Break down the multiplication into smaller parts**:\\n - First, multiply \\\\( 49 \\\\times 15 \\\\).\\n - Then, multiply the result by \\\\( 89 \\\\).\\n - F...
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e3f6959781c353c201d378e02d9da532601673e08a1706fa15a5ebbd9ea1bd36
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 49 \\times 15 \\times 89 \\times 8 \\) using the given numbers, we can follow these steps:\n\n1. **Break down the multiplication into smaller parts**:\n - First, multiply \\( 49 \\times 15 \\).\n - Then, multiply the result by \\( 89 \\).\n - Finally, multiply the result by \\( 8 \\).\...
[{"budget_forced_chunks": ["To solve the equation \\( 49 \\times 15 \\times 89 \\times 8 \\) using the given numbers, we can follow these steps:\n\n1. **Break down the multiplication into smaller parts**:\n - First, multiply \\( 49 \\times 15 \\).\n - Then, multiply the result by \\( 89 \\).\n - Finally, multiply...
84
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
827
{"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\nUsing the numbers [84, 54, 43, 11], create an equation that equals 827. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation 84 + 54 - 43 + 11 = 827, we'll perform the operations from left to right, starting with the addition of 84 and 54.\\n\\nStep 1: 84 + 54 = 138\\nStep 2: 138 - 43 = 95\\nStep 3: 95 + 11 = 106\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n84 + 54 - 43 + 11 = 827\\n</answer>...
["{'generation': \"To solve the equation 84 + 54 - 43 + 11 = 827, we'll perform the operations from left to right, starting with the addition of 84 and 54.\\n\\nStep 1: 84 + 54 = 138\\nStep 2: 138 - 43 = 95\\nStep 3: 95 + 11 = 106\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n84 + 54 - 43 + 11 = 827\\n</answer>\...
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2ae0be90fdb20cffa367a613bbbb6b84b71cf0c18cba874ee55014773960ef27
ab16ce326c754df41ed00df6f64f7073dcac3e2986bbf8b2a1ce4549b189a0fb
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 84 + 54 - 43 + 11 = 827, we'll perform the operations from left to right, starting with the addition of 84 and 54.\n\nStep 1: 84 + 54 = 138\nStep 2: 138 - 43 = 95\nStep 3: 95 + 11 = 106\n\nTherefore, the final answer is:\n\n<answer>\n84 + 54 - 43 + 11 = 827\n</answer>\n\nIs this answer correct? ...
[{"budget_forced_chunks": ["To solve the equation 84 + 54 - 43 + 11 = 827, we'll perform the operations from left to right, starting with the addition of 84 and 54.\n\nStep 1: 84 + 54 = 138\nStep 2: 138 - 43 = 95\nStep 3: 95 + 11 = 106\n\nTherefore, the final answer is:\n\n<answer>\n84 + 54 - 43 + 11 = 827\n</answer>\n...
85
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
655
{"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\nUsing the numbers [13, 54, 49, 36], create an equation that equals 655. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 13 \\\\times 54 \\\\times 49 \\\\times 36 \\\\), we can break it down into simpler steps by using the distributive property of multiplication.\\n\\nFirst, let's group some of the numbers:\\n\\n\\\\[ (13 \\\\times 54) \\\\times (49 \\\\times 36) \\\\]\\n\\nNow, let's calcu...
["{'generation': \"To solve the equation \\\\( 13 \\\\times 54 \\\\times 49 \\\\times 36 \\\\), we can break it down into simpler steps by using the distributive property of multiplication.\\n\\nFirst, let's group some of the numbers:\\n\\n\\\\[ (13 \\\\times 54) \\\\times (49 \\\\times 36) \\\\]\\n\\nNow, let's calcul...
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9f6cb78c09b22a1a10564f6be4a1784327a42ff11a10a31d355435db59f44710
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 13 \\times 54 \\times 49 \\times 36 \\), we can break it down into simpler steps by using the distributive property of multiplication.\n\nFirst, let's group some of the numbers:\n\n\\[ (13 \\times 54) \\times (49 \\times 36) \\]\n\nNow, let's calculate each part separately:\n\n1. \\( 13 \\ti...
[{"budget_forced_chunks": ["To solve the equation \\( 13 \\times 54 \\times 49 \\times 36 \\), we can break it down into simpler steps by using the distributive property of multiplication.\n\nFirst, let's group some of the numbers:\n\n\\[ (13 \\times 54) \\times (49 \\times 36) \\]\n\nNow, let's calculate each part sep...
86
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
441
{"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\nUsing the numbers [87, 60, 23, 18], create an equation that equals 441. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the multiplication problem \\\\( 87 \\\\times 60 \\\\times 23 \\\\times 18 \\\\), we can break it down into smaller steps for easier calculation. However, instead of breaking it down directly, we will calculate it step by step:\\n\\nStep 1: Multiply 87 by 60.\\n\\\\[ 87 \\\\times 60 = 5220 ...
["{'generation': \"To solve the multiplication problem \\\\( 87 \\\\times 60 \\\\times 23 \\\\times 18 \\\\), we can break it down into smaller steps for easier calculation. However, instead of breaking it down directly, we will calculate it step by step:\\n\\nStep 1: Multiply 87 by 60.\\n\\\\[ 87 \\\\times 60 = 5220 \...
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1e4d04068b269589c264b9143629d17b34931697b7f30a24e724899b4c61e97c
2dfe70c43208f52b9ef4ea7e134705283947116491e81fbac05f0aedc25c5956
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 87 \\times 60 \\times 23 \\times 18 \\), we can break it down into smaller steps for easier calculation. However, instead of breaking it down directly, we will calculate it step by step:\n\nStep 1: Multiply 87 by 60.\n\\[ 87 \\times 60 = 5220 \\]\n\nStep 2: Multiply the result ...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 87 \\times 60 \\times 23 \\times 18 \\), we can break it down into smaller steps for easier calculation. However, instead of breaking it down directly, we will calculate it step by step:\n\nStep 1: Multiply 87 by 60.\n\\[ 87 \\times 60 = 5220 \\]\n\nSt...
87
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
109
{"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\nUsing the numbers [94, 84, 28, 41], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 94 + 84 - 28 - 41 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down the subtraction**:\\n - First, subtract 28 from 94.\\n - Then, subtract the result from the previous result.\\n - Finally, subtract 41 from the previous result.\\n\\n2. **Perform ...
["{'generation': \"To solve the equation \\\\( 94 + 84 - 28 - 41 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down the subtraction**:\\n - First, subtract 28 from 94.\\n - Then, subtract the result from the previous result.\\n - Finally, subtract 41 from the previous result.\\n\\n2. **Perform t...
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0fd42b3f73c448b34940b339f87d07adf116b05c0227aad72e8f0ee90533e699
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 94 + 84 - 28 - 41 \\), we can break it down into simpler steps:\n\n1. **Break down the subtraction**:\n - First, subtract 28 from 94.\n - Then, subtract the result from the previous result.\n - Finally, subtract 41 from the previous result.\n\n2. **Perform theSubtracting**:\n - \\( 9...
[{"budget_forced_chunks": ["To solve the equation \\( 94 + 84 - 28 - 41 \\), we can break it down into simpler steps:\n\n1. **Break down the subtraction**:\n - First, subtract 28 from 94.\n - Then, subtract the result from the previous result.\n - Finally, subtract 41 from the previous result.\n\n2. **Perform the...
88
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
154
{"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\nUsing the numbers [80, 11, 14, 99], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem \\\\( 80 + 11 + 14 + 99 \\\\) step by step:\\n\\n1. **Break down the numbers into easier parts:**\\n - \\\\( 80 \\\\) can be seen as \\\\( 8 \\\\times 10 \\\\).\\n - \\\\( 11 \\\\) can be seen as \\\\( 10 + 1 \\\\).\\n - \\\\( 14 \\\\) can be seen as \\\\( 10 + 4 ...
["{'generation': \"To solve the addition problem \\\\( 80 + 11 + 14 + 99 \\\\) step by step:\\n\\n1. **Break down the numbers into easier parts:**\\n - \\\\( 80 \\\\) can be seen as \\\\( 8 \\\\times 10 \\\\).\\n - \\\\( 11 \\\\) can be seen as \\\\( 10 + 1 \\\\).\\n - \\\\( 14 \\\\) can be seen as \\\\( 10 + 4 \...
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1d0ebea552eb43d0b1e1561f6de8ae92e3de7f1abec52399244d1caed7dbdfa6
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\( 80 + 11 + 14 + 99 \\) step by step:\n\n1. **Break down the numbers into easier parts:**\n - \\( 80 \\) can be seen as \\( 8 \\times 10 \\).\n - \\( 11 \\) can be seen as \\( 10 + 1 \\).\n - \\( 14 \\) can be seen as \\( 10 + 4 \\).\n - \\( 99 \\) can be seen as \\( 100 - 1 \\...
[{"budget_forced_chunks": ["To solve the addition problem \\( 80 + 11 + 14 + 99 \\) step by step:\n\n1. **Break down the numbers into easier parts:**\n - \\( 80 \\) can be seen as \\( 8 \\times 10 \\).\n - \\( 11 \\) can be seen as \\( 10 + 1 \\).\n - \\( 14 \\) can be seen as \\( 10 + 4 \\).\n - \\( 99 \\) can...
89
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
766
{"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\nUsing the numbers [18, 67, 49, 49], create an equation that equals 766. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(18 \\\\times 67 + 49 \\\\times 49\\\\), we will break it down into simpler steps.\\n\\nFirst, let's calculate \\\\(18 \\\\times 67\\\\):\\n\\n\\\\[\\n18 \\\\times 67 = 18 \\\\times (60 + 7) = 18 \\\\times 60 + 18 \\\\times 7\\n\\\\]\\n\\n\\\\[\\n18 \\\\times 60 = 1080\\n\\...
["{'generation': \"To solve the equation \\\\(18 \\\\times 67 + 49 \\\\times 49\\\\), we will break it down into simpler steps.\\n\\nFirst, let's calculate \\\\(18 \\\\times 67\\\\):\\n\\n\\\\[\\n18 \\\\times 67 = 18 \\\\times (60 + 7) = 18 \\\\times 60 + 18 \\\\times 7\\n\\\\]\\n\\n\\\\[\\n18 \\\\times 60 = 1080\\n\\\...
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04222ea3e14cb1209b9726defe3efce5196b7afa0a959854a30401be41f4026d
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(18 \\times 67 + 49 \\times 49\\), we will break it down into simpler steps.\n\nFirst, let's calculate \\(18 \\times 67\\):\n\n\\[\n18 \\times 67 = 18 \\times (60 + 7) = 18 \\times 60 + 18 \\times 7\n\\]\n\n\\[\n18 \\times 60 = 1080\n\\]\n\\[\n18 \\times 7 = 126\n\\]\n\\[\n18 \\times 67 = 1080...
[{"budget_forced_chunks": ["To solve the equation \\(18 \\times 67 + 49 \\times 49\\), we will break it down into simpler steps.\n\nFirst, let's calculate \\(18 \\times 67\\):\n\n\\[\n18 \\times 67 = 18 \\times (60 + 7) = 18 \\times 60 + 18 \\times 7\n\\]\n\n\\[\n18 \\times 60 = 1080\n\\]\n\\[\n18 \\times 7 = 126\n\\]\...
90
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
346
{"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\nUsing the numbers [20, 47, 15, 59], create an equation that equals 346. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 20 + 47 - 15 - 59, we can break it down into simpler steps:\\n\\n1. First, let's add 20 and 47:\\n \\\\[\\n 20 + 47 = 67\\n \\\\]\\n\\n2. Next, we subtract 15 from 67:\\n \\\\[\\n 67 - 15 = 52\\n \\\\]\\n\\n3. Finally, we subtract 59 from 52:\\n \\\\[\\n ...
["{'generation': \"To solve the addition problem 20 + 47 - 15 - 59, we can break it down into simpler steps:\\n\\n1. First, let's add 20 and 47:\\n \\\\[\\n 20 + 47 = 67\\n \\\\]\\n\\n2. Next, we subtract 15 from 67:\\n \\\\[\\n 67 - 15 = 52\\n \\\\]\\n\\n3. Finally, we subtract 59 from 52:\\n \\\\[\\n ...
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59a232c3601ce94efdc37bec9e42281b090f9d063bcf053df3ffa4401fe7d971
6aac0cf87a32e631536122c3f2f9a2df215f56f28792a43a8658b0593f2e5255
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 20 + 47 - 15 - 59, we can break it down into simpler steps:\n\n1. First, let's add 20 and 47:\n \\[\n 20 + 47 = 67\n \\]\n\n2. Next, we subtract 15 from 67:\n \\[\n 67 - 15 = 52\n \\]\n\n3. Finally, we subtract 59 from 52:\n \\[\n 52 - 59 = -7\n \\]\n\nSo, the solution ...
[{"budget_forced_chunks": ["To solve the addition problem 20 + 47 - 15 - 59, we can break it down into simpler steps:\n\n1. First, let's add 20 and 47:\n \\[\n 20 + 47 = 67\n \\]\n\n2. Next, we subtract 15 from 67:\n \\[\n 67 - 15 = 52\n \\]\n\n3. Finally, we subtract 59 from 52:\n \\[\n 52 - 59 = -7\n ...
91
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
450
{"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\nUsing the numbers [6, 62, 44, 2], create an equation that equals 450. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the problem of multiplying 6 by 62, and then multiplying the result by 44, we can break it down into simpler steps.\\n\\nFirst, let's multiply 6 by 62:\\n\\n6 * 62 = 6 * (60 + 2) = 6 * 60 + 6 * 2 = 360 + 12 = 372\\n\\nNext, let's multiply the result by 44:\\n\\n372 * 44 = 372 * (40 + 4) = 3...
["{'generation': \"To solve the problem of multiplying 6 by 62, and then multiplying the result by 44, we can break it down into simpler steps.\\n\\nFirst, let's multiply 6 by 62:\\n\\n6 * 62 = 6 * (60 + 2) = 6 * 60 + 6 * 2 = 360 + 12 = 372\\n\\nNext, let's multiply the result by 44:\\n\\n372 * 44 = 372 * (40 + 4) = 37...
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a972d8e22831c45ba1ce701e065bb2bd4c3930410c2bdce18d58389b7045475b
83151157c10d85af7c84657c71c3e3603d955160f0526fce672481da83a2e090
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of multiplying 6 by 62, and then multiplying the result by 44, we can break it down into simpler steps.\n\nFirst, let's multiply 6 by 62:\n\n6 * 62 = 6 * (60 + 2) = 6 * 60 + 6 * 2 = 360 + 12 = 372\n\nNext, let's multiply the result by 44:\n\n372 * 44 = 372 * (40 + 4) = 372 * 40 + 372 * 4 = 14880 ...
[{"budget_forced_chunks": ["To solve the problem of multiplying 6 by 62, and then multiplying the result by 44, we can break it down into simpler steps.\n\nFirst, let's multiply 6 by 62:\n\n6 * 62 = 6 * (60 + 2) = 6 * 60 + 6 * 2 = 360 + 12 = 372\n\nNext, let's multiply the result by 44:\n\n372 * 44 = 372 * (40 + 4) = 3...
92
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
269
{"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\nUsing the numbers [60, 50, 91, 6], create an equation that equals 269. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 60 + 50 - 91 + 6 \\\\), we will perform the operations from left to right, using each number only once.\\n\\nStep 1: First, add 60 and 50.\\n\\\\[ 60 + 50 = 110 \\\\]\\n\\nStep 2: Then, subtract 91 from the result.\\n\\\\[ 110 - 91 = 19 \\\\]\\n\\nStep 3: Finally, add 6 t...
["{'generation': \"To solve the equation \\\\( 60 + 50 - 91 + 6 \\\\), we will perform the operations from left to right, using each number only once.\\n\\nStep 1: First, add 60 and 50.\\n\\\\[ 60 + 50 = 110 \\\\]\\n\\nStep 2: Then, subtract 91 from the result.\\n\\\\[ 110 - 91 = 19 \\\\]\\n\\nStep 3: Finally, add 6 to...
db9cd309684c504e64694dbbd006c628f2689264714d2760ce2a759d498cc1a5
ea40fb231506688e5f93292aac95446f621140fee98824108b33d6938a09ed1c
f747870ae666c39b589f577856a0f7198b3b81269cb0326de86d8046f2cf72db
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 60 + 50 - 91 + 6 \\), we will perform the operations from left to right, using each number only once.\n\nStep 1: First, add 60 and 50.\n\\[ 60 + 50 = 110 \\]\n\nStep 2: Then, subtract 91 from the result.\n\\[ 110 - 91 = 19 \\]\n\nStep 3: Finally, add 6 to the result.\n\\[ 19 + 6 = 25 \\]\n\n...
[{"budget_forced_chunks": ["To solve the equation \\( 60 + 50 - 91 + 6 \\), we will perform the operations from left to right, using each number only once.\n\nStep 1: First, add 60 and 50.\n\\[ 60 + 50 = 110 \\]\n\nStep 2: Then, subtract 91 from the result.\n\\[ 110 - 91 = 19 \\]\n\nStep 3: Finally, add 6 to the result...
93
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
268
{"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\nUsing the numbers [5, 11, 80, 58], create an equation that equals 268. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': 'To solve the addition problem 5 + 11 + 80 + 58, we can break it down into simpler steps:\\n\\n1. First, add 5 and 11:\\n 5 + 11 = 16\\n\\n2. Then, multiply 16 by 80:\\n 16 * 80 = 1280\\n\\n3. Finally, add the result to 58:\\n 1280 + 58 = 1338\\n\\nSo, the solution to the addition problem 5 + 11...
["{'generation': 'To solve the addition problem 5 + 11 + 80 + 58, we can break it down into simpler steps:\\n\\n1. First, add 5 and 11:\\n 5 + 11 = 16\\n\\n2. Then, multiply 16 by 80:\\n 16 * 80 = 1280\\n\\n3. Finally, add the result to 58:\\n 1280 + 58 = 1338\\n\\nSo, the solution to the addition problem 5 + 11 ...
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8b496bf96bbcc9e5ac11c068b6cfb00c32f9d163bb8a3d5af107217499de997a
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 5 + 11 + 80 + 58, we can break it down into simpler steps:\n\n1. First, add 5 and 11:\n 5 + 11 = 16\n\n2. Then, multiply 16 by 80:\n 16 * 80 = 1280\n\n3. Finally, add the result to 58:\n 1280 + 58 = 1338\n\nSo, the solution to the addition problem 5 + 11 + 80 + 58 is 1338. \n\n<ans...
[{"budget_forced_chunks": ["To solve the addition problem 5 + 11 + 80 + 58, we can break it down into simpler steps:\n\n1. First, add 5 and 11:\n 5 + 11 = 16\n\n2. Then, multiply 16 by 80:\n 16 * 80 = 1280\n\n3. Finally, add the result to 58:\n 1280 + 58 = 1338\n\nSo, the solution to the addition problem 5 + 11 +...
94
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
136
{"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\nUsing the numbers [49, 78, 82, 91], create an equation that equals 136. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 49 + 78 + 82 + 91, we can break it down into smaller steps:\\n\\nStep 1: 49 + 78 = 127\\nStep 2: 127 + 82 = 209\\nStep 3: 209 + 91 = 300\\n\\nTherefore, the final answer is:\\n\\n<answer> 300 </answer>\\n\\nIs this answer correct? No Wait, let me try 209 + 91 = 300 inst...
["{'generation': \"To solve the addition problem 49 + 78 + 82 + 91, we can break it down into smaller steps:\\n\\nStep 1: 49 + 78 = 127\\nStep 2: 127 + 82 = 209\\nStep 3: 209 + 91 = 300\\n\\nTherefore, the final answer is:\\n\\n<answer> 300 </answer>\\n\\nIs this answer correct? No Wait, let me try 209 + 91 = 300 inste...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 49 + 78 + 82 + 91, we can break it down into smaller steps:\n\nStep 1: 49 + 78 = 127\nStep 2: 127 + 82 = 209\nStep 3: 209 + 91 = 300\n\nTherefore, the final answer is:\n\n<answer> 300 </answer>\n\nIs this answer correct? No Wait, let me try 209 + 91 = 300 instead of 207 + 91 = 300, becau...
[{"budget_forced_chunks": ["To solve the addition problem 49 + 78 + 82 + 91, we can break it down into smaller steps:\n\nStep 1: 49 + 78 = 127\nStep 2: 127 + 82 = 209\nStep 3: 209 + 91 = 300\n\nTherefore, the final answer is:\n\n<answer> 300 </answer>\n\nIs this answer correct? No", " Wait, let me try 209 + 91 = 300 in...
95
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
969
{"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\nUsing the numbers [70, 17, 27, 40], create an equation that equals 969. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the multiplication problem \\\\( 70 \\\\times 17 \\\\times 27 \\\\times 40 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\\n\\n1. First, rewrite 70 and 40 as factors:\\n \\\\[\\n 70 \\\\times 40 = (70 \\\\times 4) \\\\ti...
["{'generation': 'To solve the multiplication problem \\\\( 70 \\\\times 17 \\\\times 27 \\\\times 40 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\\n\\n1. First, rewrite 70 and 40 as factors:\\n \\\\[\\n 70 \\\\times 40 = (70 \\\\times 4) \\\\tim...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 70 \\times 17 \\times 27 \\times 40 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\n\n1. First, rewrite 70 and 40 as factors:\n \\[\n 70 \\times 40 = (70 \\times 4) \\times 10 = 280 \\times 10 = 2800\n \\]\...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 70 \\times 17 \\times 27 \\times 40 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\n\n1. First, rewrite 70 and 40 as factors:\n \\[\n 70 \\times 40 = (70 \\times 4) \\times 10 = 280 ...
96
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
796
{"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\nUsing the numbers [12, 19, 4, 47], create an equation that equals 796. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the long multiplication problem \\\\( 12 \\\\times 19 \\\\times 4 \\\\times 47 \\\\):\\n\\n1. First, multiply 12 and 19:\\n \\\\[\\n 12 \\\\times 19 = 12 \\\\times (10 + 9) = 12 \\\\times 10 + 12 \\\\times 9 = 120 + 108 = 228\\n \\\\]\\n\\n2. Next, multiply the result by 4:\\n \\\\[...
["{'generation': \"To solve the long multiplication problem \\\\( 12 \\\\times 19 \\\\times 4 \\\\times 47 \\\\):\\n\\n1. First, multiply 12 and 19:\\n \\\\[\\n 12 \\\\times 19 = 12 \\\\times (10 + 9) = 12 \\\\times 10 + 12 \\\\times 9 = 120 + 108 = 228\\n \\\\]\\n\\n2. Next, multiply the result by 4:\\n \\\\[\...
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724213d95916de041564e5d39c2373585dc15855743a42a5841d849b9f3716de
0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the long multiplication problem \\( 12 \\times 19 \\times 4 \\times 47 \\):\n\n1. First, multiply 12 and 19:\n \\[\n 12 \\times 19 = 12 \\times (10 + 9) = 12 \\times 10 + 12 \\times 9 = 120 + 108 = 228\n \\]\n\n2. Next, multiply the result by 4:\n \\[\n 228 \\times 4 = 852\n \\]\n\n3. Finally, mu...
[{"budget_forced_chunks": ["To solve the long multiplication problem \\( 12 \\times 19 \\times 4 \\times 47 \\):\n\n1. First, multiply 12 and 19:\n \\[\n 12 \\times 19 = 12 \\times (10 + 9) = 12 \\times 10 + 12 \\times 9 = 120 + 108 = 228\n \\]\n\n2. Next, multiply the result by 4:\n \\[\n 228 \\times 4 = 852...
97
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
119
{"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\nUsing the numbers [95, 86, 3, 100], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(95 + 86 - 3 + 100\\\\), we will perform the addition and subtraction step by step.\\n\\n1. **Add 95 and 86:**\\n \\\\[\\n 95 + 86 = 181\\n \\\\]\\n\\n2. **Subtract 3 from the result:**\\n \\\\[\\n 181 - 3 = 178\\n \\\\]\\n\\n3. **Add 100 to the result:**\\n \...
["{'generation': \"To solve the equation \\\\(95 + 86 - 3 + 100\\\\), we will perform the addition and subtraction step by step.\\n\\n1. **Add 95 and 86:**\\n \\\\[\\n 95 + 86 = 181\\n \\\\]\\n\\n2. **Subtract 3 from the result:**\\n \\\\[\\n 181 - 3 = 178\\n \\\\]\\n\\n3. **Add 100 to the result:**\\n \\...
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3038bfb575bee6a0e61945eff8784835bb2c720634e42734678c083994b7f018
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(95 + 86 - 3 + 100\\), we will perform the addition and subtraction step by step.\n\n1. **Add 95 and 86:**\n \\[\n 95 + 86 = 181\n \\]\n\n2. **Subtract 3 from the result:**\n \\[\n 181 - 3 = 178\n \\]\n\n3. **Add 100 to the result:**\n \\[\n 178 + 100 = 278\n \\]\n\nSo, the f...
[{"budget_forced_chunks": ["To solve the equation \\(95 + 86 - 3 + 100\\), we will perform the addition and subtraction step by step.\n\n1. **Add 95 and 86:**\n \\[\n 95 + 86 = 181\n \\]\n\n2. **Subtract 3 from the result:**\n \\[\n 181 - 3 = 178\n \\]\n\n3. **Add 100 to the result:**\n \\[\n 178 + 100 ...
98
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
535
{"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\nUsing the numbers [24, 68, 5, 63], create an equation that equals 535. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation 24 * 68 + 5 * 63, we can break it down into smaller steps and solve it quickly.\\n\\nFirst, we can break it down into two simpler equations:\\n\\n1. 24 * 68 = x\\n2. 5 * 63 = y\\n\\nThen we can add the two results:\\n\\n3. x + y = 535\\n\\nTo find the values of x and y, we can ...
["{'generation': \"To solve the equation 24 * 68 + 5 * 63, we can break it down into smaller steps and solve it quickly.\\n\\nFirst, we can break it down into two simpler equations:\\n\\n1. 24 * 68 = x\\n2. 5 * 63 = y\\n\\nThen we can add the two results:\\n\\n3. x + y = 535\\n\\nTo find the values of x and y, we can u...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 24 * 68 + 5 * 63, we can break it down into smaller steps and solve it quickly.\n\nFirst, we can break it down into two simpler equations:\n\n1. 24 * 68 = x\n2. 5 * 63 = y\n\nThen we can add the two results:\n\n3. x + y = 535\n\nTo find the values of x and y, we can use the distributive property...
[{"budget_forced_chunks": ["To solve the equation 24 * 68 + 5 * 63, we can break it down into smaller steps and solve it quickly.\n\nFirst, we can break it down into two simpler equations:\n\n1. 24 * 68 = x\n2. 5 * 63 = y\n\nThen we can add the two results:\n\n3. x + y = 535\n\nTo find the values of x and y, we can use...
99
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
153
{"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\nUsing the numbers [54, 81, 57, 75], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the sum problem 54 + 81 + 57 + 75, we can break it down into smaller steps:\\n\\n1) First, add 54 and 81:\\n 54 + 81 = 135\\n\\n2) Then, add 57 to the result from step 1:\\n 135 + 57 = 192\\n\\n3) Finally, add 75 to the result from step 2:\\n 192 + 75 = 267\\n\\nSo, the solution to the...
["{'generation': 'To solve the sum problem 54 + 81 + 57 + 75, we can break it down into smaller steps:\\n\\n1) First, add 54 and 81:\\n 54 + 81 = 135\\n\\n2) Then, add 57 to the result from step 1:\\n 135 + 57 = 192\\n\\n3) Finally, add 75 to the result from step 2:\\n 192 + 75 = 267\\n\\nSo, the solution to the ...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the sum problem 54 + 81 + 57 + 75, we can break it down into smaller steps:\n\n1) First, add 54 and 81:\n 54 + 81 = 135\n\n2) Then, add 57 to the result from step 1:\n 135 + 57 = 192\n\n3) Finally, add 75 to the result from step 2:\n 192 + 75 = 267\n\nSo, the solution to the equation 54 + 81 + 57 + 75 ...
[{"budget_forced_chunks": ["To solve the sum problem 54 + 81 + 57 + 75, we can break it down into smaller steps:\n\n1) First, add 54 and 81:\n 54 + 81 = 135\n\n2) Then, add 57 to the result from step 1:\n 135 + 57 = 192\n\n3) Finally, add 75 to the result from step 2:\n 192 + 75 = 267\n\nSo, the solution to the e...