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TAUR-dev
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SIE_EVAL__countdown3arg_should_verify__sft__samples

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150
{"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 [92, 9, 87, 90, 1], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your ...
[["{'generation': \"To solve the problem of multiplying 92 by 9 to get a result close to 104, we can break it down into simpler steps.\\n\\n1. First, let's multiply 92 by 90:\\n\\n \\\\[\\n 92 \\\\times 90 = 92 \\\\times (9 \\\\times 10) = (92 \\\\times 9) \\\\times 10\\n \\\\]\\n\\n Now, let's calculate \\\\(9...
["{'generation': \"To solve the problem of multiplying 92 by 9 to get a result close to 104, we can break it down into simpler steps.\\n\\n1. First, let's multiply 92 by 90:\\n\\n \\\\[\\n 92 \\\\times 90 = 92 \\\\times (9 \\\\times 10) = (92 \\\\times 9) \\\\times 10\\n \\\\]\\n\\n Now, let's calculate \\\\(92...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of multiplying 92 by 9 to get a result close to 104, we can break it down into simpler steps.\n\n1. First, let's multiply 92 by 90:\n\n \\[\n 92 \\times 90 = 92 \\times (9 \\times 10) = (92 \\times 9) \\times 10\n \\]\n\n Now, let's calculate \\(92 \\times 9\\):\n\n \\[\n 92 \\times 9...
[{"budget_forced_chunks": ["To solve the problem of multiplying 92 by 9 to get a result close to 104, we can break it down into simpler steps.\n\n1. First, let's multiply 92 by 90:\n\n \\[\n 92 \\times 90 = 92 \\times (9 \\times 10) = (92 \\times 9) \\times 10\n \\]\n\n Now, let's calculate \\(92 \\times 9\\):\...
151
{"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...
337
{"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, 90, 20, 91, 45], create an equation that equals 337. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 91 \\\\times 90 \\\\times 20 \\\\times 91 \\\\times 45 = 337 \\\\)\\n\\nStep 1: Break down the multiplication into smaller, easier steps\\n- First, multiply the numbers like 91 and 90. This gives us \\\\( 91 \\\\times 90 = 8190 \\\\)\\n- Next, multiply the result by 20: \...
["{'generation': \"To solve the equation \\\\( 91 \\\\times 90 \\\\times 20 \\\\times 91 \\\\times 45 = 337 \\\\)\\n\\nStep 1: Break down the multiplication into smaller, easier steps\\n- First, multiply the numbers like 91 and 90. This gives us \\\\( 91 \\\\times 90 = 8190 \\\\)\\n- Next, multiply the result by 20: \\...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 91 \\times 90 \\times 20 \\times 91 \\times 45 = 337 \\)\n\nStep 1: Break down the multiplication into smaller, easier steps\n- First, multiply the numbers like 91 and 90. This gives us \\( 91 \\times 90 = 8190 \\)\n- Next, multiply the result by 20: \\( 8190 \\times 20 = 163800 \\)\n- Final...
[{"budget_forced_chunks": ["To solve the equation \\( 91 \\times 90 \\times 20 \\times 91 \\times 45 = 337 \\)\n\nStep 1: Break down the multiplication into smaller, easier steps\n- First, multiply the numbers like 91 and 90. This gives us \\( 91 \\times 90 = 8190 \\)\n- Next, multiply the result by 20: \\( 8190 \\time...
152
{"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...
125
{"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, 80, 2, 11, 59], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the problem of multiplying all the numbers in the given set [23, 80, 2, 11, 59] and then adding 1 to the result, we'll follow these steps:\\n\\n1. **Multiply 23 by 80:** \\n **23 x 80 = 1840**\\n\\n2. **Multiply 23 by 2:** \\n **23 x 2 = 46**\\n\\n3. **Multiply 23 by 11:** \\n **23...
["{'generation': \"To solve the problem of multiplying all the numbers in the given set [23, 80, 2, 11, 59] and then adding 1 to the result, we'll follow these steps:\\n\\n1. **Multiply 23 by 80:** \\n **23 x 80 = 1840**\\n\\n2. **Multiply 23 by 2:** \\n **23 x 2 = 46**\\n\\n3. **Multiply 23 by 11:** \\n **23 ...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of multiplying all the numbers in the given set [23, 80, 2, 11, 59] and then adding 1 to the result, we'll follow these steps:\n\n1. **Multiply 23 by 80:** \n **23 x 80 = 1840**\n\n2. **Multiply 23 by 2:** \n **23 x 2 = 46**\n\n3. **Multiply 23 by 11:** \n **23 x 11 = 253**\n\n4. **Multi...
[{"budget_forced_chunks": ["To solve the problem of multiplying all the numbers in the given set [23, 80, 2, 11, 59] and then adding 1 to the result, we'll follow these steps:\n\n1. **Multiply 23 by 80:** \n **23 x 80 = 1840**\n\n2. **Multiply 23 by 2:** \n **23 x 2 = 46**\n\n3. **Multiply 23 by 11:** \n **23 ...
153
{"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...
685
{"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, 95, 5, 29, 25], create an equation that equals 685. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': 'To solve the addition problem 18 + 95 + 5 + 29 + 25, we can break it down into smaller steps:\\n\\n1. First, add 18 and 5:\\n 18 + 5 = 23\\n\\n2. Then, add 23 and 95:\\n 23 + 95 = 118\\n\\n3. Finally, add 118 and 25:\\n 118 + 25 = 143\\n\\nSo, the solution to the addition problem 18 + 95 + 5 + ...
["{'generation': 'To solve the addition problem 18 + 95 + 5 + 29 + 25, we can break it down into smaller steps:\\n\\n1. First, add 18 and 5:\\n 18 + 5 = 23\\n\\n2. Then, add 23 and 95:\\n 23 + 95 = 118\\n\\n3. Finally, add 118 and 25:\\n 118 + 25 = 143\\n\\nSo, the solution to the addition problem 18 + 95 + 5 + 2...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 18 + 95 + 5 + 29 + 25, we can break it down into smaller steps:\n\n1. First, add 18 and 5:\n 18 + 5 = 23\n\n2. Then, add 23 and 95:\n 23 + 95 = 118\n\n3. Finally, add 118 and 25:\n 118 + 25 = 143\n\nSo, the solution to the addition problem 18 + 95 + 5 + 29 + 25 is 143.\n\nIs this a...
[{"budget_forced_chunks": ["To solve the addition problem 18 + 95 + 5 + 29 + 25, we can break it down into smaller steps:\n\n1. First, add 18 and 5:\n 18 + 5 = 23\n\n2. Then, add 23 and 95:\n 23 + 95 = 118\n\n3. Finally, add 118 and 25:\n 118 + 25 = 143\n\nSo, the solution to the addition problem 18 + 95 + 5 + 29...
154
{"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...
289
{"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 [47, 44, 52, 26, 13], create an equation that equals 289. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the multiplication problem \\\\( 47 \\\\times 44 \\\\times 52 \\\\times 26 \\\\times 13 \\\\), we will break it down into simpler steps using the standard long multiplication method.\\n\\n### Step 1: Multiply 47 by 13\\n- Multiply 47 by 3 (the ones digit of 13):\\n \\\\[\\n 47 \\\\times 3...
["{'generation': \"To solve the multiplication problem \\\\( 47 \\\\times 44 \\\\times 52 \\\\times 26 \\\\times 13 \\\\), we will break it down into simpler steps using the standard long multiplication method.\\n\\n### Step 1: Multiply 47 by 13\\n- Multiply 47 by 3 (the ones digit of 13):\\n \\\\[\\n 47 \\\\times 3 ...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 47 \\times 44 \\times 52 \\times 26 \\times 13 \\), we will break it down into simpler steps using the standard long multiplication method.\n\n### Step 1: Multiply 47 by 13\n- Multiply 47 by 3 (the ones digit of 13):\n \\[\n 47 \\times 3 = 141\n \\]\n- Multiply 47 by 1 (the ...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 47 \\times 44 \\times 52 \\times 26 \\times 13 \\), we will break it down into simpler steps using the standard long multiplication method.\n\n### Step 1: Multiply 47 by 13\n- Multiply 47 by 3 (the ones digit of 13):\n \\[\n 47 \\times 3 = 141\n \\]...
155
{"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...
902
{"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 [33, 32, 85, 89, 20], create an equation that equals 902. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 33 + 32 + 85 + 89 + 20 = 902, we can break it down into simpler steps:\\n\\n1. First, add 33 and 32:\\n 33 + 32 = 65\\n\\n2. Then, add 65 and 85:\\n 65 + 85 = 150\\n\\n3. Next, add 150 and 89:\\n 150 + 89 = 239\\n\\n4. Finally, add 239 and 20:\\n 239 + 20 = 259\...
["{'generation': \"To solve the addition problem 33 + 32 + 85 + 89 + 20 = 902, we can break it down into simpler steps:\\n\\n1. First, add 33 and 32:\\n 33 + 32 = 65\\n\\n2. Then, add 65 and 85:\\n 65 + 85 = 150\\n\\n3. Next, add 150 and 89:\\n 150 + 89 = 239\\n\\n4. Finally, add 239 and 20:\\n 239 + 20 = 259\\...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 33 + 32 + 85 + 89 + 20 = 902, we can break it down into simpler steps:\n\n1. First, add 33 and 32:\n 33 + 32 = 65\n\n2. Then, add 65 and 85:\n 65 + 85 = 150\n\n3. Next, add 150 and 89:\n 150 + 89 = 239\n\n4. Finally, add 239 and 20:\n 239 + 20 = 259\n\nSo, the final result is 259...
[{"budget_forced_chunks": ["To solve the addition problem 33 + 32 + 85 + 89 + 20 = 902, we can break it down into simpler steps:\n\n1. First, add 33 and 32:\n 33 + 32 = 65\n\n2. Then, add 65 and 85:\n 65 + 85 = 150\n\n3. Next, add 150 and 89:\n 150 + 89 = 239\n\n4. Finally, add 239 and 20:\n 239 + 20 = 259\n\nS...
156
{"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...
405
{"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, 6, 83, 14, 85], create an equation that equals 405. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your ...
[["{'generation': \"To solve the addition problem 6683 + 1485 = 4168. \\n\\nSo, the final answer is:\\n\\n<answer>\\n4168\\n</answer>\\n\\nIs this answer correct? No Wait, this result is 4168, so the answer is 4168.\\n\\nIs this answer correct? No Wait, let me try 1485 + 6683 = 8168. No, that's not right either.\\n\\nI...
["{'generation': \"To solve the addition problem 6683 + 1485 = 4168. \\n\\nSo, the final answer is:\\n\\n<answer>\\n4168\\n</answer>\\n\\nIs this answer correct? No Wait, this result is 4168, so the answer is 4168.\\n\\nIs this answer correct? No Wait, let me try 1485 + 6683 = 8168. No, that's not right either.\\n\\nIs...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 6683 + 1485 = 4168. \n\nSo, the final answer is:\n\n<answer>\n4168\n</answer>\n\nIs this answer correct? No Wait, this result is 4168, so the answer is 4168.\n\nIs this answer correct? No Wait, let me try 1485 + 6683 = 8168. No, that's not right either.\n\nIs this answer correct? Yes, 66...
[{"budget_forced_chunks": ["To solve the addition problem 6683 + 1485 = 4168. \n\nSo, the final answer is:\n\n<answer>\n4168\n</answer>\n\nIs this answer correct? No", " Wait, this result is 4168, so the answer is 4168.\n\nIs this answer correct? No", " Wait, let me try 1485 + 6683 = 8168. No, that's not right either.\...
157
{"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...
175
{"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, 36, 60, 35, 29], create an equation that equals 175. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\(87 - 36 + 60 - 35 + 29 = 175\\\\), we will perform the operations step by step.\\n\\n1. First, let's add 87 and 36:\\n \\\\[\\n 87 + 36 = 123\\n \\\\]\\n\\n2. Next, we subtract 60 from 123:\\n \\\\[\\n 123 - 60 = 63\\n \\\\]\\n\\n3. Then, we add 29 to the resul...
["{'generation': \"To solve the equation \\\\(87 - 36 + 60 - 35 + 29 = 175\\\\), we will perform the operations step by step.\\n\\n1. First, let's add 87 and 36:\\n \\\\[\\n 87 + 36 = 123\\n \\\\]\\n\\n2. Next, we subtract 60 from 123:\\n \\\\[\\n 123 - 60 = 63\\n \\\\]\\n\\n3. Then, we add 29 to the result...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(87 - 36 + 60 - 35 + 29 = 175\\), we will perform the operations step by step.\n\n1. First, let's add 87 and 36:\n \\[\n 87 + 36 = 123\n \\]\n\n2. Next, we subtract 60 from 123:\n \\[\n 123 - 60 = 63\n \\]\n\n3. Then, we add 29 to the result:\n \\[\n 63 + 29 = 92\n \\]\n\nSo,...
[{"budget_forced_chunks": ["To solve the equation \\(87 - 36 + 60 - 35 + 29 = 175\\), we will perform the operations step by step.\n\n1. First, let's add 87 and 36:\n \\[\n 87 + 36 = 123\n \\]\n\n2. Next, we subtract 60 from 123:\n \\[\n 123 - 60 = 63\n \\]\n\n3. Then, we add 29 to the result:\n \\[\n 6...
158
{"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...
253
{"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 [97, 24, 3, 14, 56], create an equation that equals 253. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the multiplication problem step by step:\\n\\n1. First, let's place the numbers end-to-end:\\n 097\\n x24\\n ----\\n 3889 (This is 9 x 7, shifted one place to the left)\\n 1948 (This is 9 x 2, plus the previous result)\\n ----\\n 25318\\n\\nHowever, this still doesn't match th...
["{'generation': \"To solve the multiplication problem step by step:\\n\\n1. First, let's place the numbers end-to-end:\\n 097\\n x24\\n ----\\n 3889 (This is 9 x 7, shifted one place to the left)\\n 1948 (This is 9 x 2, plus the previous result)\\n ----\\n 25318\\n\\nHowever, this still doesn't match the...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem step by step:\n\n1. First, let's place the numbers end-to-end:\n 097\n x24\n ----\n 3889 (This is 9 x 7, shifted one place to the left)\n 1948 (This is 9 x 2, plus the previous result)\n ----\n 25318\n\nHowever, this still doesn't match the given answer. Let's try a d...
[{"budget_forced_chunks": ["To solve the multiplication problem step by step:\n\n1. First, let's place the numbers end-to-end:\n 097\n x24\n ----\n 3889 (This is 9 x 7, shifted one place to the left)\n 1948 (This is 9 x 2, plus the previous result)\n ----\n 25318\n\nHowever, this still doesn't match the g...
159
{"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...
295
{"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, 35, 5, 36, 48], create an equation that equals 295. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your ...
[["{'generation': \"To solve the equation \\\\(5 \\\\times 35 \\\\times 5 \\\\times 36 \\\\times 48\\\\) step by step, follow these steps:\\n\\n1. **Break down the multiplication**: Break down the multiplication into smaller, more manageable parts.\\n \\\\[\\n 5 \\\\times 35 \\\\times 5 \\\\times 36 \\\\times 48 = ...
["{'generation': \"To solve the equation \\\\(5 \\\\times 35 \\\\times 5 \\\\times 36 \\\\times 48\\\\) step by step, follow these steps:\\n\\n1. **Break down the multiplication**: Break down the multiplication into smaller, more manageable parts.\\n \\\\[\\n 5 \\\\times 35 \\\\times 5 \\\\times 36 \\\\times 48 = (...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(5 \\times 35 \\times 5 \\times 36 \\times 48\\) step by step, follow these steps:\n\n1. **Break down the multiplication**: Break down the multiplication into smaller, more manageable parts.\n \\[\n 5 \\times 35 \\times 5 \\times 36 \\times 48 = (5 \\times 35) \\times (5 \\times 36) \\time...
[{"budget_forced_chunks": ["To solve the equation \\(5 \\times 35 \\times 5 \\times 36 \\times 48\\) step by step, follow these steps:\n\n1. **Break down the multiplication**: Break down the multiplication into smaller, more manageable parts.\n \\[\n 5 \\times 35 \\times 5 \\times 36 \\times 48 = (5 \\times 35) \\t...
160
{"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...
123
{"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, 51, 33, 72, 21], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 123 using the numbers [12, 51, 33, 72, 21], we can break it down into smaller steps of addition:\\n\\n1. Add 12 and 21:\\n \\\\[\\n 12 + 21 = 33\\n \\\\]\\n2. Add 33 and 72:\\n \\\\[\\n 33 + 72 = 105\\n \\\\]\\n3. Add the results from the previous two steps:...
["{'generation': \"To solve the addition problem 123 using the numbers [12, 51, 33, 72, 21], we can break it down into smaller steps of addition:\\n\\n1. Add 12 and 21:\\n \\\\[\\n 12 + 21 = 33\\n \\\\]\\n2. Add 33 and 72:\\n \\\\[\\n 33 + 72 = 105\\n \\\\]\\n3. Add the results from the previous two steps:\...
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a665a45920422f9d417e4867efdc4fb8a04a1f3fff1fa07e998e86f7f7a27ae3
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 123 using the numbers [12, 51, 33, 72, 21], we can break it down into smaller steps of addition:\n\n1. Add 12 and 21:\n \\[\n 12 + 21 = 33\n \\]\n2. Add 33 and 72:\n \\[\n 33 + 72 = 105\n \\]\n3. Add the results from the previous two steps:\n \\[\n 33 + 105 = 138\n \\]\...
[{"budget_forced_chunks": ["To solve the addition problem 123 using the numbers [12, 51, 33, 72, 21], we can break it down into smaller steps of addition:\n\n1. Add 12 and 21:\n \\[\n 12 + 21 = 33\n \\]\n2. Add 33 and 72:\n \\[\n 33 + 72 = 105\n \\]\n3. Add the results from the previous two steps:\n \\[\n...
161
{"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...
263
{"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, 70, 76, 80, 78], create an equation that equals 263. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 41 + 70 + 76 + 80 + 78, we can break it down into simpler steps:\\n\\n1. First, add 41 and 78:\\n \\\\[\\n 41 + 78 = 119\\n \\\\]\\n\\n2. Next, add 119 and 70:\\n \\\\[\\n 119 + 70 = 189\\n \\\\]\\n\\n3. Then, add 189 and 76:\\n \\\\[\\n 189 + 76 = 265\\...
["{'generation': \"To solve the addition problem 41 + 70 + 76 + 80 + 78, we can break it down into simpler steps:\\n\\n1. First, add 41 and 78:\\n \\\\[\\n 41 + 78 = 119\\n \\\\]\\n\\n2. Next, add 119 and 70:\\n \\\\[\\n 119 + 70 = 189\\n \\\\]\\n\\n3. Then, add 189 and 76:\\n \\\\[\\n 189 + 76 = 265\\n...
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9f27f33dd35b3d1f1a6d1a585360a7e31a63b896bb66ee89f46837e2ce6bc80e
4be84111a613654b362415e563cb7607df7b203b5d303802a8a546061bbc7847
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 41 + 70 + 76 + 80 + 78, we can break it down into simpler steps:\n\n1. First, add 41 and 78:\n \\[\n 41 + 78 = 119\n \\]\n\n2. Next, add 119 and 70:\n \\[\n 119 + 70 = 189\n \\]\n\n3. Then, add 189 and 76:\n \\[\n 189 + 76 = 265\n \\]\n\n4. Finally, add 265 and 80:\n ...
[{"budget_forced_chunks": ["To solve the addition problem 41 + 70 + 76 + 80 + 78, we can break it down into simpler steps:\n\n1. First, add 41 and 78:\n \\[\n 41 + 78 = 119\n \\]\n\n2. Next, add 119 and 70:\n \\[\n 119 + 70 = 189\n \\]\n\n3. Then, add 189 and 76:\n \\[\n 189 + 76 = 265\n \\]\n\n4. Fin...
162
{"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 [74, 94, 29, 45, 7], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\( 74 + 94 - 29 - 45 - 7 \\\\), we will perform the operations from left to right.\\n\\nStep 1: \\\\( 74 + 94 = 168 \\\\)\\n\\nStep 2: \\\\( 168 - 29 = 139 \\\\)\\n\\nStep 3: \\\\( 139 - 45 = 94 \\\\)\\n\\nStep 4: \\\\( 94 - 7 = 101 \\\\)\\n\\nSo, the final answer is:\\n\\n\...
["{'generation': \"To solve the equation \\\\( 74 + 94 - 29 - 45 - 7 \\\\), we will perform the operations from left to right.\\n\\nStep 1: \\\\( 74 + 94 = 168 \\\\)\\n\\nStep 2: \\\\( 168 - 29 = 139 \\\\)\\n\\nStep 3: \\\\( 139 - 45 = 94 \\\\)\\n\\nStep 4: \\\\( 94 - 7 = 101 \\\\)\\n\\nSo, the final answer is:\\n\\n\\...
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16dc368a89b428b2485484313ba67a3912ca03f2b2b42429174a4f8b3dc84e44
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 74 + 94 - 29 - 45 - 7 \\), we will perform the operations from left to right.\n\nStep 1: \\( 74 + 94 = 168 \\)\n\nStep 2: \\( 168 - 29 = 139 \\)\n\nStep 3: \\( 139 - 45 = 94 \\)\n\nStep 4: \\( 94 - 7 = 101 \\)\n\nSo, the final answer is:\n\n\\( 74 + 94 - 29 - 45 - 7 = 101 \\)\n\nIs this answ...
[{"budget_forced_chunks": ["To solve the equation \\( 74 + 94 - 29 - 45 - 7 \\), we will perform the operations from left to right.\n\nStep 1: \\( 74 + 94 = 168 \\)\n\nStep 2: \\( 168 - 29 = 139 \\)\n\nStep 3: \\( 139 - 45 = 94 \\)\n\nStep 4: \\( 94 - 7 = 101 \\)\n\nSo, the final answer is:\n\n\\( 74 + 94 - 29 - 45 - 7...
163
{"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...
200
{"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 [51, 85, 76, 87, 53], create an equation that equals 200. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 51 + 85 + 76 + 87 + 53 = 200 \\\\), we will add the numbers step by step.\\n\\n1. **Add 51 and 85:**\\n \\\\[\\n 51 + 85 = 136\\n \\\\]\\n\\n2. **Add the result to 76:**\\n \\\\[\\n 136 + 76 = 212\\n \\\\]\\n\\n3. **Add the result to 87:**\\n \\\\[\\n 212 ...
["{'generation': \"To solve the equation \\\\( 51 + 85 + 76 + 87 + 53 = 200 \\\\), we will add the numbers step by step.\\n\\n1. **Add 51 and 85:**\\n \\\\[\\n 51 + 85 = 136\\n \\\\]\\n\\n2. **Add the result to 76:**\\n \\\\[\\n 136 + 76 = 212\\n \\\\]\\n\\n3. **Add the result to 87:**\\n \\\\[\\n 212 +...
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b5e48cd399c206d59b18478a01c96b52e28018b1d84b0ac3b237359c87114c3b
27badc983df1780b60c2b3fa9d3a19a00e46aac798451f0febdca52920faaddf
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 51 + 85 + 76 + 87 + 53 = 200 \\), we will add the numbers step by step.\n\n1. **Add 51 and 85:**\n \\[\n 51 + 85 = 136\n \\]\n\n2. **Add the result to 76:**\n \\[\n 136 + 76 = 212\n \\]\n\n3. **Add the result to 87:**\n \\[\n 212 + 87 = 300\n \\]\n\n4. **Add the result to 5...
[{"budget_forced_chunks": ["To solve the equation \\( 51 + 85 + 76 + 87 + 53 = 200 \\), we will add the numbers step by step.\n\n1. **Add 51 and 85:**\n \\[\n 51 + 85 = 136\n \\]\n\n2. **Add the result to 76:**\n \\[\n 136 + 76 = 212\n \\]\n\n3. **Add the result to 87:**\n \\[\n 212 + 87 = 300\n \\]\n...
164
{"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 [4, 85, 47, 98, 50], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the problem of adding up the numbers [4, 85, 47, 98, 50] and getting a sum of 106, we can break it down into simpler steps:\\n\\n1. First, we'll add 4 and 85:\\n \\\\[\\n 4 + 85 = 89\\n \\\\]\\n\\n2. Next, we'll add 89 and 47:\\n \\\\[\\n 89 + 47 = 136\\n \\\\\\n\\n3. Then, we'l...
["{'generation': \"To solve the problem of adding up the numbers [4, 85, 47, 98, 50] and getting a sum of 106, we can break it down into simpler steps:\\n\\n1. First, we'll add 4 and 85:\\n \\\\[\\n 4 + 85 = 89\\n \\\\]\\n\\n2. Next, we'll add 89 and 47:\\n \\\\[\\n 89 + 47 = 136\\n \\\\\\n\\n3. Then, we'll...
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482d9673cfee5de391f97fde4d1c84f9f8d6f2cf0784fcffb958b4032de7236c
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up the numbers [4, 85, 47, 98, 50] and getting a sum of 106, we can break it down into simpler steps:\n\n1. First, we'll add 4 and 85:\n \\[\n 4 + 85 = 89\n \\]\n\n2. Next, we'll add 89 and 47:\n \\[\n 89 + 47 = 136\n \\\n\n3. Then, we'll add 136 and 98:\n \\[\n 136 + 98...
[{"budget_forced_chunks": ["To solve the problem of adding up the numbers [4, 85, 47, 98, 50] and getting a sum of 106, we can break it down into simpler steps:\n\n1. First, we'll add 4 and 85:\n \\[\n 4 + 85 = 89\n \\]\n\n2. Next, we'll add 89 and 47:\n \\[\n 89 + 47 = 136\n \\\n\n3. Then, we'll add 136 an...
165
{"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...
421
{"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, 77, 22, 64, 6], create an equation that equals 421. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': 'To solve the problem of adding 90, 77, 22, 64, and 6 to get 421, we can follow these steps:\\n\\n1. Add 90 and 77: 90 + 77 = 167\\n2. Add 167 and 22: 167 + 22 = 189\\n3. Add 189 and 64: 189 + 64 = 253\\n4. Add 253 and 6: 253 + 6 = 259\\n\\nTherefore, the answer is: 421\\n\\nIs this answer correct? No...
["{'generation': 'To solve the problem of adding 90, 77, 22, 64, and 6 to get 421, we can follow these steps:\\n\\n1. Add 90 and 77: 90 + 77 = 167\\n2. Add 167 and 22: 167 + 22 = 189\\n3. Add 189 and 64: 189 + 64 = 253\\n4. Add 253 and 6: 253 + 6 = 259\\n\\nTherefore, the answer is: 421\\n\\nIs this answer correct? No ...
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5092c37bcbc9f0fb33cb0f9cab7aa5ae94ed0f1219773c380b143b7c1224d01b
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 90, 77, 22, 64, and 6 to get 421, we can follow these steps:\n\n1. Add 90 and 77: 90 + 77 = 167\n2. Add 167 and 22: 167 + 22 = 189\n3. Add 189 and 64: 189 + 64 = 253\n4. Add 253 and 6: 253 + 6 = 259\n\nTherefore, the answer is: 421\n\nIs this answer correct? No But according to 259 + 6 ...
[{"budget_forced_chunks": ["To solve the problem of adding 90, 77, 22, 64, and 6 to get 421, we can follow these steps:\n\n1. Add 90 and 77: 90 + 77 = 167\n2. Add 167 and 22: 167 + 22 = 189\n3. Add 189 and 64: 189 + 64 = 253\n4. Add 253 and 6: 253 + 6 = 259\n\nTherefore, the answer is: 421\n\nIs this answer correct? No...
166
{"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...
273
{"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, 17, 10, 51, 45], create an equation that equals 273. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation 25 * 17 * 10 * 51 / 45 using the numbers [25, 17, 10, 51, 45], we can follow these steps:\\n\\nStep 1: Multiply 25 by 17.\\n25 * 17 = 425\\n\\nStep 2: Multiply 25 by 51.\\n25 * 51 = 1275\\n\\nStep 3: Multiply 10 by 51.\\n10 * 51 = 510\\n\\nStep 4: Multiply 10 by 45.\\n10 * 45 =...
["{'generation': \"To solve the equation 25 * 17 * 10 * 51 / 45 using the numbers [25, 17, 10, 51, 45], we can follow these steps:\\n\\nStep 1: Multiply 25 by 17.\\n25 * 17 = 425\\n\\nStep 2: Multiply 25 by 51.\\n25 * 51 = 1275\\n\\nStep 3: Multiply 10 by 51.\\n10 * 51 = 510\\n\\nStep 4: Multiply 10 by 45.\\n10 * 45 = ...
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303c8bd55875dda240897db158acf70afe4226f300757f3518b86e6817c00022
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 25 * 17 * 10 * 51 / 45 using the numbers [25, 17, 10, 51, 45], we can follow these steps:\n\nStep 1: Multiply 25 by 17.\n25 * 17 = 425\n\nStep 2: Multiply 25 by 51.\n25 * 51 = 1275\n\nStep 3: Multiply 10 by 51.\n10 * 51 = 510\n\nStep 4: Multiply 10 by 45.\n10 * 45 = 450\n\nStep 5: Add the result...
[{"budget_forced_chunks": ["To solve the equation 25 * 17 * 10 * 51 / 45 using the numbers [25, 17, 10, 51, 45], we can follow these steps:\n\nStep 1: Multiply 25 by 17.\n25 * 17 = 425\n\nStep 2: Multiply 25 by 51.\n25 * 51 = 1275\n\nStep 3: Multiply 10 by 51.\n10 * 51 = 510\n\nStep 4: Multiply 10 by 45.\n10 * 45 = 450...
167
{"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...
123
{"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, 18, 45, 48, 27], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 123 using the numbers [21, 18, 45, 48, 27], we can follow these steps:\\n\\nStep 1: Combine 18 and 48, which gives us 60.\\n\\nStep 2: Multiply 21 by 45, which gives us 99.\\n\\nStep 3: Add the results from Step 1 and Step 2:\\n\\n 18 + 48 = 60\\n 21 * 45 = 99\\n ...
["{'generation': \"To solve the addition problem 123 using the numbers [21, 18, 45, 48, 27], we can follow these steps:\\n\\nStep 1: Combine 18 and 48, which gives us 60.\\n\\nStep 2: Multiply 21 by 45, which gives us 99.\\n\\nStep 3: Add the results from Step 1 and Step 2:\\n\\n 18 + 48 = 60\\n 21 * 45 = 99\\n -...
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24f607fa747ae99970f2c109f54a4c94f84d96ebdd92d49cc159ac5c34a82c87
a665a45920422f9d417e4867efdc4fb8a04a1f3fff1fa07e998e86f7f7a27ae3
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 123 using the numbers [21, 18, 45, 48, 27], we can follow these steps:\n\nStep 1: Combine 18 and 48, which gives us 60.\n\nStep 2: Multiply 21 by 45, which gives us 99.\n\nStep 3: Add the results from Step 1 and Step 2:\n\n 18 + 48 = 60\n 21 * 45 = 99\n -------------\n 123\n\nThe...
[{"budget_forced_chunks": ["To solve the addition problem 123 using the numbers [21, 18, 45, 48, 27], we can follow these steps:\n\nStep 1: Combine 18 and 48, which gives us 60.\n\nStep 2: Multiply 21 by 45, which gives us 99.\n\nStep 3: Add the results from Step 1 and Step 2:\n\n 18 + 48 = 60\n 21 * 45 = 99\n --...
168
{"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 [58, 19, 21, 28, 90], create an equation that equals 136. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': 'To solve the equation \\\\( 58 \\\\times 19 + 21 - 28 \\\\times 90 \\\\) step by step, follow these steps:\\n\\n1. **Break down the multiplication into smaller, more manageable parts:**\\n - Calculate \\\\( 58 \\\\times 19 \\\\)\\n - Calculate \\\\( 21 \\\\)\\n - Calculate \\\\( 28 \\\\times 90...
["{'generation': 'To solve the equation \\\\( 58 \\\\times 19 + 21 - 28 \\\\times 90 \\\\) step by step, follow these steps:\\n\\n1. **Break down the multiplication into smaller, more manageable parts:**\\n - Calculate \\\\( 58 \\\\times 19 \\\\)\\n - Calculate \\\\( 21 \\\\)\\n - Calculate \\\\( 28 \\\\times 90 ...
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36ebe205bcdfc499a25e6923f4450fa8d48196ceb4fa0ce077d9d8ec4a36926d
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 58 \\times 19 + 21 - 28 \\times 90 \\) step by step, follow these steps:\n\n1. **Break down the multiplication into smaller, more manageable parts:**\n - Calculate \\( 58 \\times 19 \\)\n - Calculate \\( 21 \\)\n - Calculate \\( 28 \\times 90 \\)\n\n2. **Calculate \\( 58 \\times 19 \\)...
[{"budget_forced_chunks": ["To solve the equation \\( 58 \\times 19 + 21 - 28 \\times 90 \\) step by step, follow these steps:\n\n1. **Break down the multiplication into smaller, more manageable parts:**\n - Calculate \\( 58 \\times 19 \\)\n - Calculate \\( 21 \\)\n - Calculate \\( 28 \\times 90 \\)\n\n2. **Calcu...
169
{"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...
953
{"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 [69, 15, 62, 24, 44], create an equation that equals 953. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': 'To solve the problem of adding up the numbers [69, 15, 62, 24, 44] to equal 953, follow these steps:\\n\\nStep 1: 69 + 15 = 84\\nStep 2: 84 + 62 = 146\\nStep 3: 146 + 24 = 170\\nStep 4: 170 + 44 = 214\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n214\\n</answer>\\n\\nIs this answer correct? No...
["{'generation': 'To solve the problem of adding up the numbers [69, 15, 62, 24, 44] to equal 953, follow these steps:\\n\\nStep 1: 69 + 15 = 84\\nStep 2: 84 + 62 = 146\\nStep 3: 146 + 24 = 170\\nStep 4: 170 + 44 = 214\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n214\\n</answer>\\n\\nIs this answer correct? No ...
ad534e847e8ca3cac52bec3c441edc3dc4dcc24b71e825c51cadc3b9ebc3e2fc
9030b35984e3f04e97044a78ee8bfa80fe28692cc681d9ebc44be34d2841720a
6953c2a883537cc80135516935de542987c2cd76f94d8cbf2ad004d7bf4c6195
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up the numbers [69, 15, 62, 24, 44] to equal 953, follow these steps:\n\nStep 1: 69 + 15 = 84\nStep 2: 84 + 62 = 146\nStep 3: 146 + 24 = 170\nStep 4: 170 + 44 = 214\n\nTherefore, the final answer is:\n\n<answer>\n214\n</answer>\n\nIs this answer correct? No But to confirm, 214 + 84 is n...
[{"budget_forced_chunks": ["To solve the problem of adding up the numbers [69, 15, 62, 24, 44] to equal 953, follow these steps:\n\nStep 1: 69 + 15 = 84\nStep 2: 84 + 62 = 146\nStep 3: 146 + 24 = 170\nStep 4: 170 + 44 = 214\n\nTherefore, the final answer is:\n\n<answer>\n214\n</answer>\n\nIs this answer correct? No", "...
170
{"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...
710
{"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, 45, 27, 5, 37], create an equation that equals 710. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\( 80 \\\\times 45 \\\\times 27 \\\\times 5 \\\\times 37 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\\n\\nFirst, we can rewrite the multiplication as:\\n\\\\[ (80 \\\\times 45) \\\\times (27 \\\\times 5) ...
["{'generation': \"To solve the equation \\\\( 80 \\\\times 45 \\\\times 27 \\\\times 5 \\\\times 37 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\\n\\nFirst, we can rewrite the multiplication as:\\n\\\\[ (80 \\\\times 45) \\\\times (27 \\\\times 5) \...
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4ec24a2d7f1dfae1f98882eabf0400cd9483dd2de78b926b625c46e8787f3816
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 80 \\times 45 \\times 27 \\times 5 \\times 37 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\n\nFirst, we can rewrite the multiplication as:\n\\[ (80 \\times 45) \\times (27 \\times 5) \\]\n\nNow, let's calculate each part sep...
[{"budget_forced_chunks": ["To solve the equation \\( 80 \\times 45 \\times 27 \\times 5 \\times 37 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\n\nFirst, we can rewrite the multiplication as:\n\\[ (80 \\times 45) \\times (27 \\times 5) \\]\n\nNow, let...
171
{"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...
366
{"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, 2, 64, 2, 52], create an equation that equals 366. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your ...
[["{'generation': \"To solve the equation \\\\(13 \\\\times 2 \\\\times 64 \\\\times 2 \\\\times 52\\\\), we can break it down into smaller, more manageable parts.\\n\\nFirst, let's rewrite the multiplication problem:\\n\\\\[ 13 \\\\times (2 \\\\times 64) \\\\times 2 \\\\times 52 \\\\]\\n\\nStep 1: Multiply \\\\(2 \\\\...
["{'generation': \"To solve the equation \\\\(13 \\\\times 2 \\\\times 64 \\\\times 2 \\\\times 52\\\\), we can break it down into smaller, more manageable parts.\\n\\nFirst, let's rewrite the multiplication problem:\\n\\\\[ 13 \\\\times (2 \\\\times 64) \\\\times 2 \\\\times 52 \\\\]\\n\\nStep 1: Multiply \\\\(2 \\\\t...
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0
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(13 \\times 2 \\times 64 \\times 2 \\times 52\\), we can break it down into smaller, more manageable parts.\n\nFirst, let's rewrite the multiplication problem:\n\\[ 13 \\times (2 \\times 64) \\times 2 \\times 52 \\]\n\nStep 1: Multiply \\(2 \\times 64\\)\n\\[ 2 \\times 64 = 128 \\]\n\nStep 2: ...
[{"budget_forced_chunks": ["To solve the equation \\(13 \\times 2 \\times 64 \\times 2 \\times 52\\), we can break it down into smaller, more manageable parts.\n\nFirst, let's rewrite the multiplication problem:\n\\[ 13 \\times (2 \\times 64) \\times 2 \\times 52 \\]\n\nStep 1: Multiply \\(2 \\times 64\\)\n\\[ 2 \\time...
172
{"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...
743
{"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, 33, 80, 10, 91], create an equation that equals 743. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem \\\\( 28 + 33 + 80 + 10 + 91 \\\\), we can break it down into smaller steps for easier calculation. Here is a step-by-step approach:\\n\\n1. **Break the problem into smaller parts**:\\n - \\\\( 28 + 33 \\\\)\\n - \\\\( 80 + 10 \\\\)\\n - \\\\( 91 \\\\) can be left...
["{'generation': \"To solve the addition problem \\\\( 28 + 33 + 80 + 10 + 91 \\\\), we can break it down into smaller steps for easier calculation. Here is a step-by-step approach:\\n\\n1. **Break the problem into smaller parts**:\\n - \\\\( 28 + 33 \\\\)\\n - \\\\( 80 + 10 \\\\)\\n - \\\\( 91 \\\\) can be left ...
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0df5486b7bca884d5f00c502e216f734b2865b202397f24bca25ac9b8a95ab4a
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\( 28 + 33 + 80 + 10 + 91 \\), we can break it down into smaller steps for easier calculation. Here is a step-by-step approach:\n\n1. **Break the problem into smaller parts**:\n - \\( 28 + 33 \\)\n - \\( 80 + 10 \\)\n - \\( 91 \\) can be left as is\n\n2. **Add \\( 28 \\) and \\( 3...
[{"budget_forced_chunks": ["To solve the addition problem \\( 28 + 33 + 80 + 10 + 91 \\), we can break it down into smaller steps for easier calculation. Here is a step-by-step approach:\n\n1. **Break the problem into smaller parts**:\n - \\( 28 + 33 \\)\n - \\( 80 + 10 \\)\n - \\( 91 \\) can be left as is\n\n2. ...
173
{"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...
135
{"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, 85, 44, 56, 35], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the problem of adding up the numbers [85, 85, 44, 56, 35] and getting a result of 135, we can break it down into simpler steps:\\n\\n1. First, let's add 85 and 44:\\n \\\\[\\n 85 + 44 = 129\\n \\\\]\\n\\n2. Next, we add 56 to the result from the first step:\\n \\\\[\\n 129 + 56 = ...
["{'generation': \"To solve the problem of adding up the numbers [85, 85, 44, 56, 35] and getting a result of 135, we can break it down into simpler steps:\\n\\n1. First, let's add 85 and 44:\\n \\\\[\\n 85 + 44 = 129\\n \\\\]\\n\\n2. Next, we add 56 to the result from the first step:\\n \\\\[\\n 129 + 56 = 1...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up the numbers [85, 85, 44, 56, 35] and getting a result of 135, we can break it down into simpler steps:\n\n1. First, let's add 85 and 44:\n \\[\n 85 + 44 = 129\n \\]\n\n2. Next, we add 56 to the result from the first step:\n \\[\n 129 + 56 = 185\n \\]\n\n3. Finally, we add...
[{"budget_forced_chunks": ["To solve the problem of adding up the numbers [85, 85, 44, 56, 35] and getting a result of 135, we can break it down into simpler steps:\n\n1. First, let's add 85 and 44:\n \\[\n 85 + 44 = 129\n \\]\n\n2. Next, we add 56 to the result from the first step:\n \\[\n 129 + 56 = 185\n ...
174
{"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...
139
{"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, 80, 88, 15, 79], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 139 using the numbers [35, 80, 88, 15, 79], we can follow these steps:\\n\\n1. First, we can break down the number 139 into its tens and ones places: 139 = 100 + 39.\\n\\n2. Now, we can perform the addition separately for each part:\\n a) 100 + 88 = 188\\n b) 100 + ...
["{'generation': \"To solve the addition problem 139 using the numbers [35, 80, 88, 15, 79], we can follow these steps:\\n\\n1. First, we can break down the number 139 into its tens and ones places: 139 = 100 + 39.\\n\\n2. Now, we can perform the addition separately for each part:\\n a) 100 + 88 = 188\\n b) 100 + 3...
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80448d28361283e85ea832135fe90f5956171f96c48319ec698aa10a85bdd547
8d27ba37c5d810106b55f3fd6cdb35842007e88754184bfc0e6035f9bcede633
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 139 using the numbers [35, 80, 88, 15, 79], we can follow these steps:\n\n1. First, we can break down the number 139 into its tens and ones places: 139 = 100 + 39.\n\n2. Now, we can perform the addition separately for each part:\n a) 100 + 88 = 188\n b) 100 + 39 = 139\n c) 88 + 39 ...
[{"budget_forced_chunks": ["To solve the addition problem 139 using the numbers [35, 80, 88, 15, 79], we can follow these steps:\n\n1. First, we can break down the number 139 into its tens and ones places: 139 = 100 + 39.\n\n2. Now, we can perform the addition separately for each part:\n a) 100 + 88 = 188\n b) 100 ...
175
{"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...
664
{"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, 17, 92, 51, 1], create an equation that equals 664. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\( 16 \\\\times 17 \\\\times 92 \\\\times 51 \\\\times 1 \\\\), we can break it down into simpler steps by cancelling out common factors.\\n\\nFirst, let's write the numbers in a more space-efficient format: \\\\( (16 \\\\times 17) \\\\times (92 \\\\times 51) \\\\).\\n\\nSte...
["{'generation': \"To solve the equation \\\\( 16 \\\\times 17 \\\\times 92 \\\\times 51 \\\\times 1 \\\\), we can break it down into simpler steps by cancelling out common factors.\\n\\nFirst, let's write the numbers in a more space-efficient format: \\\\( (16 \\\\times 17) \\\\times (92 \\\\times 51) \\\\).\\n\\nStep...
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09eac95eb995b821f45353054da3c7eec5f5171fb061de72f1890679956b12a8
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 16 \\times 17 \\times 92 \\times 51 \\times 1 \\), we can break it down into simpler steps by cancelling out common factors.\n\nFirst, let's write the numbers in a more space-efficient format: \\( (16 \\times 17) \\times (92 \\times 51) \\).\n\nStep 1: Break down \\( 16 \\times 17 \\):\n -...
[{"budget_forced_chunks": ["To solve the equation \\( 16 \\times 17 \\times 92 \\times 51 \\times 1 \\), we can break it down into simpler steps by cancelling out common factors.\n\nFirst, let's write the numbers in a more space-efficient format: \\( (16 \\times 17) \\times (92 \\times 51) \\).\n\nStep 1: Break down \\...
176
{"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...
144
{"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, 85, 40, 12, 8], create an equation that equals 144. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\(39 \\\\times 85 + 40 \\\\times 12 + 12 \\\\times 8\\\\), we will follow the standard long multiplication method to multiply each number by each digit of the other number, then add the results.\\n\\nStep 1: Multiply 39 by 2 (the units digit of 85).\\n\\\\(39 \\\\times 2 = 7...
["{'generation': \"To solve the equation \\\\(39 \\\\times 85 + 40 \\\\times 12 + 12 \\\\times 8\\\\), we will follow the standard long multiplication method to multiply each number by each digit of the other number, then add the results.\\n\\nStep 1: Multiply 39 by 2 (the units digit of 85).\\n\\\\(39 \\\\times 2 = 78...
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5ec1a0c99d428601ce42b407ae9c675e0836a8ba591c8ca6e2a2cf5563d97ff0
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(39 \\times 85 + 40 \\times 12 + 12 \\times 8\\), we will follow the standard long multiplication method to multiply each number by each digit of the other number, then add the results.\n\nStep 1: Multiply 39 by 2 (the units digit of 85).\n\\(39 \\times 2 = 78\\)\n\nStep 2: Multiply 39 by 8 (t...
[{"budget_forced_chunks": ["To solve the equation \\(39 \\times 85 + 40 \\times 12 + 12 \\times 8\\), we will follow the standard long multiplication method to multiply each number by each digit of the other number, then add the results.\n\nStep 1: Multiply 39 by 2 (the units digit of 85).\n\\(39 \\times 2 = 78\\)\n\nS...
177
{"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 [29, 15, 88, 15, 64], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 29 \\\\times 15 \\\\times 88 \\\\times 15 \\\\times 64 \\\\), we can break it down into smaller, more manageable parts.\\n\\nFirst, let's multiply 29 by 15:\\n\\\\[ 29 \\\\times 15 = 435 \\\\]\\n\\nNext, we multiply the result by 88:\\n\\\\[ 435 \\\\times 88 \\\\]\\n\\nTo...
["{'generation': \"To solve the equation \\\\( 29 \\\\times 15 \\\\times 88 \\\\times 15 \\\\times 64 \\\\), we can break it down into smaller, more manageable parts.\\n\\nFirst, let's multiply 29 by 15:\\n\\\\[ 29 \\\\times 15 = 435 \\\\]\\n\\nNext, we multiply the result by 88:\\n\\\\[ 435 \\\\times 88 \\\\]\\n\\nTo ...
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043066daf2109523a7490d4bfad4766da5719950a2b5f96d192fc0537e84f32a
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 29 \\times 15 \\times 88 \\times 15 \\times 64 \\), we can break it down into smaller, more manageable parts.\n\nFirst, let's multiply 29 by 15:\n\\[ 29 \\times 15 = 435 \\]\n\nNext, we multiply the result by 88:\n\\[ 435 \\times 88 \\]\n\nTo find \\( 435 \\times 88 \\), we can use the distr...
[{"budget_forced_chunks": ["To solve the equation \\( 29 \\times 15 \\times 88 \\times 15 \\times 64 \\), we can break it down into smaller, more manageable parts.\n\nFirst, let's multiply 29 by 15:\n\\[ 29 \\times 15 = 435 \\]\n\nNext, we multiply the result by 88:\n\\[ 435 \\times 88 \\]\n\nTo find \\( 435 \\times 88...
178
{"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 [8, 77, 46, 38, 28], create an equation that equals 511. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the addition problem \\\\( 8 + 77 + 46 + 38 + 28 \\\\), we will perform the additions step by step.\\n\\n1. **Add 8 and 77:**\\n \\\\[\\n 8 + 77 = 855\\n \\\\]\\n\\n2. **Add 46 to the result from step 1:**\\n \\\\[\\n 855 + 46 = 901\\n \\\\]\\n\\n3. **Add 38 to the result from s...
["{'generation': \"To solve the addition problem \\\\( 8 + 77 + 46 + 38 + 28 \\\\), we will perform the additions step by step.\\n\\n1. **Add 8 and 77:**\\n \\\\[\\n 8 + 77 = 855\\n \\\\]\\n\\n2. **Add 46 to the result from step 1:**\\n \\\\[\\n 855 + 46 = 901\\n \\\\]\\n\\n3. **Add 38 to the result from st...
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2c69bc9b34fb0800a44a702e45019c107dfdc8273b9feb62c9615addc7138bde
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\( 8 + 77 + 46 + 38 + 28 \\), we will perform the additions step by step.\n\n1. **Add 8 and 77:**\n \\[\n 8 + 77 = 855\n \\]\n\n2. **Add 46 to the result from step 1:**\n \\[\n 855 + 46 = 901\n \\]\n\n3. **Add 38 to the result from step 2:**\n \\[\n 901 + 38 = 939\n \\...
[{"budget_forced_chunks": ["To solve the addition problem \\( 8 + 77 + 46 + 38 + 28 \\), we will perform the additions step by step.\n\n1. **Add 8 and 77:**\n \\[\n 8 + 77 = 855\n \\]\n\n2. **Add 46 to the result from step 1:**\n \\[\n 855 + 46 = 901\n \\]\n\n3. **Add 38 to the result from step 2:**\n \\[...
179
{"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...
135
{"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, 63, 19, 9, 4], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your w...
[["{'generation': \"To solve the equation \\\\(7 \\\\times 63 - 19 \\\\times 9 - 4\\\\), we will perform the operations step by step.\\n\\n1. **Calculate \\\\(7 \\\\times 63\\\\):**\\n \\\\[\\n 7 \\\\times 63 = 7 \\\\times (60 + 3) = 7 \\\\times 60 + 7 \\\\times 3 = 420 + 21 = 441\\n \\\\]\\n\\n2. **Calculate \\\...
["{'generation': \"To solve the equation \\\\(7 \\\\times 63 - 19 \\\\times 9 - 4\\\\), we will perform the operations step by step.\\n\\n1. **Calculate \\\\(7 \\\\times 63\\\\):**\\n \\\\[\\n 7 \\\\times 63 = 7 \\\\times (60 + 3) = 7 \\\\times 60 + 7 \\\\times 3 = 420 + 21 = 441\\n \\\\]\\n\\n2. **Calculate \\\\...
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0c5a48a57c31ff0a35cdd62651a8a596ba281b77aab416100c1ff3d208a4070f
13671077b66a29874a2578b5240319092ef2a1043228e433e9b006b5e53e7513
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(7 \\times 63 - 19 \\times 9 - 4\\), we will perform the operations step by step.\n\n1. **Calculate \\(7 \\times 63\\):**\n \\[\n 7 \\times 63 = 7 \\times (60 + 3) = 7 \\times 60 + 7 \\times 3 = 420 + 21 = 441\n \\]\n\n2. **Calculate \\(19 \\times 9\\):**\n \\[\n 19 \\times 9 = 19 \\...
[{"budget_forced_chunks": ["To solve the equation \\(7 \\times 63 - 19 \\times 9 - 4\\), we will perform the operations step by step.\n\n1. **Calculate \\(7 \\times 63\\):**\n \\[\n 7 \\times 63 = 7 \\times (60 + 3) = 7 \\times 60 + 7 \\times 3 = 420 + 21 = 441\n \\]\n\n2. **Calculate \\(19 \\times 9\\):**\n \\...
180
{"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...
307
{"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, 45, 79, 83, 50], create an equation that equals 307. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 50 \\\\times 45 \\\\times 79 \\\\times 83 \\\\times 50 \\\\), we can break it down into simpler multiplications and then combine the results. Here's a step-by-step approach:\\n\\n1. **Break down the multiplication:**\\n \\\\[\\n 50 \\\\times 45 \\\\times 79 \\\\times ...
["{'generation': \"To solve the equation \\\\( 50 \\\\times 45 \\\\times 79 \\\\times 83 \\\\times 50 \\\\), we can break it down into simpler multiplications and then combine the results. Here's a step-by-step approach:\\n\\n1. **Break down the multiplication:**\\n \\\\[\\n 50 \\\\times 45 \\\\times 79 \\\\times 8...
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f54ba530f0a518ecddf783d6ee1151ce8e4f574386d90b91eddf660d184b6b60
6d976934be74941fba578b143ba964eded443d10384e3f3d62a1ba7b4d339df8
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 50 \\times 45 \\times 79 \\times 83 \\times 50 \\), we can break it down into simpler multiplications and then combine the results. Here's a step-by-step approach:\n\n1. **Break down the multiplication:**\n \\[\n 50 \\times 45 \\times 79 \\times 83 \\times 50\n \\]\n\n2. **Use distribu...
[{"budget_forced_chunks": ["To solve the equation \\( 50 \\times 45 \\times 79 \\times 83 \\times 50 \\), we can break it down into simpler multiplications and then combine the results. Here's a step-by-step approach:\n\n1. **Break down the multiplication:**\n \\[\n 50 \\times 45 \\times 79 \\times 83 \\times 50\n ...
181
{"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...
965
{"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 [46, 13, 29, 37, 29], create an equation that equals 965. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the problem of adding up the numbers 46, 13, 29, 37, and 29, we will perform the addition step by step.\\n\\n1. First, let's add the ones place digits:\\n - 6 (from 46) + 9 (from 29) = 15\\n - We write down 5 and carry over 1.\\n\\n2. Next, let's add the tens place digits, remembering t...
["{'generation': \"To solve the problem of adding up the numbers 46, 13, 29, 37, and 29, we will perform the addition step by step.\\n\\n1. First, let's add the ones place digits:\\n - 6 (from 46) + 9 (from 29) = 15\\n - We write down 5 and carry over 1.\\n\\n2. Next, let's add the tens place digits, remembering to...
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2f1d593cd98cb5bf81eb9d880221122342784ac5fb7f41f2b137006bafc92e39
0
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up the numbers 46, 13, 29, 37, and 29, we will perform the addition step by step.\n\n1. First, let's add the ones place digits:\n - 6 (from 46) + 9 (from 29) = 15\n - We write down 5 and carry over 1.\n\n2. Next, let's add the tens place digits, remembering to include the carried ov...
[{"budget_forced_chunks": ["To solve the problem of adding up the numbers 46, 13, 29, 37, and 29, we will perform the addition step by step.\n\n1. First, let's add the ones place digits:\n - 6 (from 46) + 9 (from 29) = 15\n - We write down 5 and carry over 1.\n\n2. Next, let's add the tens place digits, remembering...
182
{"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...
143
{"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, 53, 5, 77, 48], create an equation that equals 143. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the addition problem 30 + 53 + 5 + 77 + 48, we can break it down into the following steps:\\n\\nStep 1: Add 30 and 53.\\n30 + 53 = 83\\n\\nStep 2: Add 83 and 5.\\n83 + 5 = 88\\n\\nStep 3: Add 88 and 77.\\n88 + 77 = 165\\n\\nStep 4: Add 165 and 48.\\n165 + 48 = 213\\n\\nThus, the solution to...
["{'generation': \"To solve the addition problem 30 + 53 + 5 + 77 + 48, we can break it down into the following steps:\\n\\nStep 1: Add 30 and 53.\\n30 + 53 = 83\\n\\nStep 2: Add 83 and 5.\\n83 + 5 = 88\\n\\nStep 3: Add 88 and 77.\\n88 + 77 = 165\\n\\nStep 4: Add 165 and 48.\\n165 + 48 = 213\\n\\nThus, the solution to ...
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d6f0c71ef0c88e45e4b3a2118fcb83b0def392d759c901e9d755d0e879028727
0
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 30 + 53 + 5 + 77 + 48, we can break it down into the following steps:\n\nStep 1: Add 30 and 53.\n30 + 53 = 83\n\nStep 2: Add 83 and 5.\n83 + 5 = 88\n\nStep 3: Add 88 and 77.\n88 + 77 = 165\n\nStep 4: Add 165 and 48.\n165 + 48 = 213\n\nThus, the solution to the addition problem is 213.\n\...
[{"budget_forced_chunks": ["To solve the addition problem 30 + 53 + 5 + 77 + 48, we can break it down into the following steps:\n\nStep 1: Add 30 and 53.\n30 + 53 = 83\n\nStep 2: Add 83 and 5.\n83 + 5 = 88\n\nStep 3: Add 88 and 77.\n88 + 77 = 165\n\nStep 4: Add 165 and 48.\n165 + 48 = 213\n\nThus, the solution to the a...
183
{"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...
680
{"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 [40, 96, 25, 43, 40], create an equation that equals 680. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 40 + 96 + 25 + 43 + 40, we can break it down into simpler steps:\\n\\n1. First, add 40 and 40: 40 + 40 = 80\\n2. Then, add 96 and 25: 96 + 25 = 121\\n3. Finally, add the result from step 1 and step 2: 80 + 121 = 201\\n\\nSo, the final answer is:\\n\\n<answer>\\n80\\n201...
["{'generation': \"To solve the addition problem 40 + 96 + 25 + 43 + 40, we can break it down into simpler steps:\\n\\n1. First, add 40 and 40: 40 + 40 = 80\\n2. Then, add 96 and 25: 96 + 25 = 121\\n3. Finally, add the result from step 1 and step 2: 80 + 121 = 201\\n\\nSo, the final answer is:\\n\\n<answer>\\n80\\n201\...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 40 + 96 + 25 + 43 + 40, we can break it down into simpler steps:\n\n1. First, add 40 and 40: 40 + 40 = 80\n2. Then, add 96 and 25: 96 + 25 = 121\n3. Finally, add the result from step 1 and step 2: 80 + 121 = 201\n\nSo, the final answer is:\n\n<answer>\n80\n201\n</answer>\n\nIs this answe...
[{"budget_forced_chunks": ["To solve the addition problem 40 + 96 + 25 + 43 + 40, we can break it down into simpler steps:\n\n1. First, add 40 and 40: 40 + 40 = 80\n2. Then, add 96 and 25: 96 + 25 = 121\n3. Finally, add the result from step 1 and step 2: 80 + 121 = 201\n\nSo, the final answer is:\n\n<answer>\n80\n201\n...
184
{"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...
134
{"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, 45, 94, 42, 72], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 134 using the given numbers [25, 45, 94, 42, 72], we can follow these steps:\\n\\n1. First, we can break down the number 134 into its tens and ones places: 134 = 10 * 34.\\n\\n2. Now, we can perform the multiplication separately:\\n a. 10 * 34 = 340\\n \\n3. Next, w...
["{'generation': \"To solve the addition problem 134 using the given numbers [25, 45, 94, 42, 72], we can follow these steps:\\n\\n1. First, we can break down the number 134 into its tens and ones places: 134 = 10 * 34.\\n\\n2. Now, we can perform the multiplication separately:\\n a. 10 * 34 = 340\\n \\n3. Next, we...
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5d389f5e2e34c6b0bad96581c22cee0be36dcf627cd73af4d4cccacd9ef40cc3
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 134 using the given numbers [25, 45, 94, 42, 72], we can follow these steps:\n\n1. First, we can break down the number 134 into its tens and ones places: 134 = 10 * 34.\n\n2. Now, we can perform the multiplication separately:\n a. 10 * 34 = 340\n \n3. Next, we add the result to the o...
[{"budget_forced_chunks": ["To solve the addition problem 134 using the given numbers [25, 45, 94, 42, 72], we can follow these steps:\n\n1. First, we can break down the number 134 into its tens and ones places: 134 = 10 * 34.\n\n2. Now, we can perform the multiplication separately:\n a. 10 * 34 = 340\n \n3. Next, ...
185
{"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...
403
{"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, 17, 2, 35, 74], create an equation that equals 403. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the addition problem 24 + 17 + 2 + 35 + 74 = 403, we follow these steps:\\n\\n1. **Add the units digits**: 4 (from 24) and 3 (from 35) gives us 7.\\n2. **Add the tens digits**: 2 (from 24) and 7 (from 35) gives us 9.\\n3. **Add the tens of 24 and 35**: 20 and 30, which gives us 50.\\n4. **A...
["{'generation': \"To solve the addition problem 24 + 17 + 2 + 35 + 74 = 403, we follow these steps:\\n\\n1. **Add the units digits**: 4 (from 24) and 3 (from 35) gives us 7.\\n2. **Add the tens digits**: 2 (from 24) and 7 (from 35) gives us 9.\\n3. **Add the tens of 24 and 35**: 20 and 30, which gives us 50.\\n4. **Ad...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 24 + 17 + 2 + 35 + 74 = 403, we follow these steps:\n\n1. **Add the units digits**: 4 (from 24) and 3 (from 35) gives us 7.\n2. **Add the tens digits**: 2 (from 24) and 7 (from 35) gives us 9.\n3. **Add the tens of 24 and 35**: 20 and 30, which gives us 50.\n4. **Add the hundreds digits*...
[{"budget_forced_chunks": ["To solve the addition problem 24 + 17 + 2 + 35 + 74 = 403, we follow these steps:\n\n1. **Add the units digits**: 4 (from 24) and 3 (from 35) gives us 7.\n2. **Add the tens digits**: 2 (from 24) and 7 (from 35) gives us 9.\n3. **Add the tens of 24 and 35**: 20 and 30, which gives us 50.\n4. ...
186
{"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...
112
{"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, 15, 57, 48, 92], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 70 + 15 + 57 + 48 + 92, we can break it down into smaller steps:\\n\\n1. First, add 70 and 15:\\n 70 + 15 = 85\\n\\n2. Then, add 57 to the result from step 1:\\n 85 + 57 = 142\\n\\n3. Finally, add 48 to the result from step 2:\\n 142 + 48 = 190\\n\\nSo, the final ...
["{'generation': \"To solve the addition problem 70 + 15 + 57 + 48 + 92, we can break it down into smaller steps:\\n\\n1. First, add 70 and 15:\\n 70 + 15 = 85\\n\\n2. Then, add 57 to the result from step 1:\\n 85 + 57 = 142\\n\\n3. Finally, add 48 to the result from step 2:\\n 142 + 48 = 190\\n\\nSo, the final a...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 70 + 15 + 57 + 48 + 92, we can break it down into smaller steps:\n\n1. First, add 70 and 15:\n 70 + 15 = 85\n\n2. Then, add 57 to the result from step 1:\n 85 + 57 = 142\n\n3. Finally, add 48 to the result from step 2:\n 142 + 48 = 190\n\nSo, the final answer is 190.\n\nIs this ans...
[{"budget_forced_chunks": ["To solve the addition problem 70 + 15 + 57 + 48 + 92, we can break it down into smaller steps:\n\n1. First, add 70 and 15:\n 70 + 15 = 85\n\n2. Then, add 57 to the result from step 1:\n 85 + 57 = 142\n\n3. Finally, add 48 to the result from step 2:\n 142 + 48 = 190\n\nSo, the final ans...
187
{"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...
588
{"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 [96, 40, 16, 92, 21], create an equation that equals 588. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 96 \\\\times 40 \\\\times 16 \\\\times 92 \\\\times 21 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\\n\\n1. First, break down 40 into 40 = 4 * 10:\\n \\\\[\\n 96 \\\\times 40 \\\\times 16 \\\\times ...
["{'generation': \"To solve the equation \\\\( 96 \\\\times 40 \\\\times 16 \\\\times 92 \\\\times 21 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\\n\\n1. First, break down 40 into 40 = 4 * 10:\\n \\\\[\\n 96 \\\\times 40 \\\\times 16 \\\\times 9...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 96 \\times 40 \\times 16 \\times 92 \\times 21 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\n\n1. First, break down 40 into 40 = 4 * 10:\n \\[\n 96 \\times 40 \\times 16 \\times 92 \\times 21 = 96 \\times (4 \\times 10) ...
[{"budget_forced_chunks": ["To solve the equation \\( 96 \\times 40 \\times 16 \\times 92 \\times 21 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\n\n1. First, break down 40 into 40 = 4 * 10:\n \\[\n 96 \\times 40 \\times 16 \\times 92 \\times 21 = ...
188
{"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 [18, 3, 73, 70, 31], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the multiplication problem \\\\( 189 \\\\) using the numbers \\\\( 18, 3, 73, 70, 31 \\\\) and performing basic arithmetic operations, follow these steps:\\n\\n1. Combine the digits to form the numbers:\\n - 18: 18\\n - 31: 31\\n - 73: 73\\n - 70: 70\\n\\n2. Perform the multiplicati...
["{'generation': \"To solve the multiplication problem \\\\( 189 \\\\) using the numbers \\\\( 18, 3, 73, 70, 31 \\\\) and performing basic arithmetic operations, follow these steps:\\n\\n1. Combine the digits to form the numbers:\\n - 18: 18\\n - 31: 31\\n - 73: 73\\n - 70: 70\\n\\n2. Perform the multiplicatio...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 189 \\) using the numbers \\( 18, 3, 73, 70, 31 \\) and performing basic arithmetic operations, follow these steps:\n\n1. Combine the digits to form the numbers:\n - 18: 18\n - 31: 31\n - 73: 73\n - 70: 70\n\n2. Perform the multiplication:\n - Multiply 18 by 31 (the f...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 189 \\) using the numbers \\( 18, 3, 73, 70, 31 \\) and performing basic arithmetic operations, follow these steps:\n\n1. Combine the digits to form the numbers:\n - 18: 18\n - 31: 31\n - 73: 73\n - 70: 70\n\n2. Perform the multiplication:\n ...
189
{"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...
699
{"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, 53, 86, 20, 55], create an equation that equals 699. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': 'To solve the addition problem 10 + 53 + 86 + 20 + 55, we can break it down into simpler steps:\\n\\n1. First, add the single digit numbers:\\n 0 + 3 = 3\\n (10 + 53)[10, 53, 86, 20, 55] = 3\\n\\n2. Next, add the two-digit numbers:\\n 5 + 5 = 10\\n (10 + 53)[10, 53, 86, 20, 55] = 10 + 10 = 20\...
["{'generation': 'To solve the addition problem 10 + 53 + 86 + 20 + 55, we can break it down into simpler steps:\\n\\n1. First, add the single digit numbers:\\n 0 + 3 = 3\\n (10 + 53)[10, 53, 86, 20, 55] = 3\\n\\n2. Next, add the two-digit numbers:\\n 5 + 5 = 10\\n (10 + 53)[10, 53, 86, 20, 55] = 10 + 10 = 20\\...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 10 + 53 + 86 + 20 + 55, we can break it down into simpler steps:\n\n1. First, add the single digit numbers:\n 0 + 3 = 3\n (10 + 53)[10, 53, 86, 20, 55] = 3\n\n2. Next, add the two-digit numbers:\n 5 + 5 = 10\n (10 + 53)[10, 53, 86, 20, 55] = 10 + 10 = 20\n\n3. Then, add the three...
[{"budget_forced_chunks": ["To solve the addition problem 10 + 53 + 86 + 20 + 55, we can break it down into simpler steps:\n\n1. First, add the single digit numbers:\n 0 + 3 = 3\n (10 + 53)[10, 53, 86, 20, 55] = 3\n\n2. Next, add the two-digit numbers:\n 5 + 5 = 10\n (10 + 53)[10, 53, 86, 20, 55] = 10 + 10 = 20...
190
{"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...
926
{"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, 62, 33, 46, 15], create an equation that equals 926. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the multiplication problem \\\\(83 \\\\times 62 \\\\times 33 \\\\times 46 \\\\times 15\\\\) step by step, we can break it down into smaller multiplications:\\n\\n1. First, let's multiply 83 by 62:\\n \\\\[\\n 83 \\\\times 62\\n \\\\]\\n This can be done by performing the multiplicat...
["{'generation': \"To solve the multiplication problem \\\\(83 \\\\times 62 \\\\times 33 \\\\times 46 \\\\times 15\\\\) step by step, we can break it down into smaller multiplications:\\n\\n1. First, let's multiply 83 by 62:\\n \\\\[\\n 83 \\\\times 62\\n \\\\]\\n This can be done by performing the multiplicati...
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85e36899399df701301f6741ffab57962a14326584b6f082ae0e87d90e492fd4
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\(83 \\times 62 \\times 33 \\times 46 \\times 15\\) step by step, we can break it down into smaller multiplications:\n\n1. First, let's multiply 83 by 62:\n \\[\n 83 \\times 62\n \\]\n This can be done by performing the multiplication step by step:\n \\[\n 83 \\times 6...
[{"budget_forced_chunks": ["To solve the multiplication problem \\(83 \\times 62 \\times 33 \\times 46 \\times 15\\) step by step, we can break it down into smaller multiplications:\n\n1. First, let's multiply 83 by 62:\n \\[\n 83 \\times 62\n \\]\n This can be done by performing the multiplication step by step...
191
{"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 [23, 63, 71, 21, 3], create an equation that equals 554. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the addition problem 23 + 63 + 71 + 21 + 3, we can break it down into smaller steps:\\n\\n1. First, add 23 and 3:\\n 23 + 3 = 26\\n\\n2. Then, add 26 and 71:\\n 26 + 71 = 97\\n\\n3. Next, add 97 and 21:\\n 97 + 21 = 118\\n\\n4. Finally, add 118 and 63:\\n 118 + 63 = 181\\n\\nSo, the...
["{'generation': \"To solve the addition problem 23 + 63 + 71 + 21 + 3, we can break it down into smaller steps:\\n\\n1. First, add 23 and 3:\\n 23 + 3 = 26\\n\\n2. Then, add 26 and 71:\\n 26 + 71 = 97\\n\\n3. Next, add 97 and 21:\\n 97 + 21 = 118\\n\\n4. Finally, add 118 and 63:\\n 118 + 63 = 181\\n\\nSo, the ...
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833cd8c0e698745b16dac196a511327c3b30258a0d9b96710745d28eca932533
0
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 23 + 63 + 71 + 21 + 3, we can break it down into smaller steps:\n\n1. First, add 23 and 3:\n 23 + 3 = 26\n\n2. Then, add 26 and 71:\n 26 + 71 = 97\n\n3. Next, add 97 and 21:\n 97 + 21 = 118\n\n4. Finally, add 118 and 63:\n 118 + 63 = 181\n\nSo, the solution to the addition proble...
[{"budget_forced_chunks": ["To solve the addition problem 23 + 63 + 71 + 21 + 3, we can break it down into smaller steps:\n\n1. First, add 23 and 3:\n 23 + 3 = 26\n\n2. Then, add 26 and 71:\n 26 + 71 = 97\n\n3. Next, add 97 and 21:\n 97 + 21 = 118\n\n4. Finally, add 118 and 63:\n 118 + 63 = 181\n\nSo, the solut...
192
{"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 [53, 43, 32, 49, 66], create an equation that equals 224. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 53 \\\\times 43 \\\\times 32 \\\\times 49 \\\\times 66 = 224 \\\\), we can break it down into smaller, more manageable parts.\\n\\nFirst, let's look at the multiplication:\\n\\n1. **Multiply 53 by 43:**\\n \\\\[\\n 53 \\\\times 43 = 2369\\n \\\\]\\n\\n2. **Multiply ...
["{'generation': \"To solve the equation \\\\( 53 \\\\times 43 \\\\times 32 \\\\times 49 \\\\times 66 = 224 \\\\), we can break it down into smaller, more manageable parts.\\n\\nFirst, let's look at the multiplication:\\n\\n1. **Multiply 53 by 43:**\\n \\\\[\\n 53 \\\\times 43 = 2369\\n \\\\]\\n\\n2. **Multiply t...
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84a5092e4a5b6fe968fd523fb2fc917dbffae44105f82b6b94c8ed5b9a800223
0
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 53 \\times 43 \\times 32 \\times 49 \\times 66 = 224 \\), we can break it down into smaller, more manageable parts.\n\nFirst, let's look at the multiplication:\n\n1. **Multiply 53 by 43:**\n \\[\n 53 \\times 43 = 2369\n \\]\n\n2. **Multiply the result by 32:**\n \\[\n 2369 \\times ...
[{"budget_forced_chunks": ["To solve the equation \\( 53 \\times 43 \\times 32 \\times 49 \\times 66 = 224 \\), we can break it down into smaller, more manageable parts.\n\nFirst, let's look at the multiplication:\n\n1. **Multiply 53 by 43:**\n \\[\n 53 \\times 43 = 2369\n \\]\n\n2. **Multiply the result by 32:**...
193
{"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...
331
{"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 [97, 26, 16, 58, 32], create an equation that equals 331. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\(97 \\\\times 26 - 16 - 58 - 32\\\\), we will perform the operations from left to right, starting with the multiplication and then the subtractions.\\n\\n1. First, multiply 97 by 26:\\n \\\\[\\n 97 \\\\times 26 = 2222\\n \\\\]\\n\\n2. Next, subtract 16 from 2222:\\n ...
["{'generation': \"To solve the equation \\\\(97 \\\\times 26 - 16 - 58 - 32\\\\), we will perform the operations from left to right, starting with the multiplication and then the subtractions.\\n\\n1. First, multiply 97 by 26:\\n \\\\[\\n 97 \\\\times 26 = 2222\\n \\\\]\\n\\n2. Next, subtract 16 from 2222:\\n ...
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20c17aa81010827d28760de17281aedf8b107e501adfacef97c82c34c6c855ba
0bba869d7f392cbcaca6b8935ddc7fc3a8c50846d884959333fb7da475957511
0
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(97 \\times 26 - 16 - 58 - 32\\), we will perform the operations from left to right, starting with the multiplication and then the subtractions.\n\n1. First, multiply 97 by 26:\n \\[\n 97 \\times 26 = 2222\n \\]\n\n2. Next, subtract 16 from 2222:\n \\[\n 2222 - 16 = 2206\n \\]\n\n3...
[{"budget_forced_chunks": ["To solve the equation \\(97 \\times 26 - 16 - 58 - 32\\), we will perform the operations from left to right, starting with the multiplication and then the subtractions.\n\n1. First, multiply 97 by 26:\n \\[\n 97 \\times 26 = 2222\n \\]\n\n2. Next, subtract 16 from 2222:\n \\[\n 222...
194
{"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...
253
{"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 [33, 98, 81, 67, 26], create an equation that equals 253. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 33 + 98 + 81 + 67 + 26 \\\\), we will perform the addition step by step.\\n\\n1. **Add 33 and 98:**\\n - 33 + 98 = 131\\n\\n2. **Add 131 and 81:**\\n - 131 + 81 = 212\\n\\n3. **Add 212 and 67:**\\n - 212 + 67 = 279\\n\\n4. **Add 279 and 26:**\\n - 279 + 26 = 295\\...
["{'generation': \"To solve the equation \\\\( 33 + 98 + 81 + 67 + 26 \\\\), we will perform the addition step by step.\\n\\n1. **Add 33 and 98:**\\n - 33 + 98 = 131\\n\\n2. **Add 131 and 81:**\\n - 131 + 81 = 212\\n\\n3. **Add 212 and 67:**\\n - 212 + 67 = 279\\n\\n4. **Add 279 and 26:**\\n - 279 + 26 = 295\\n...
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e7866fdc6672f827c76f6124ca3eeaff44aff8b7caf4ee1469b2ab887e7e7875
0
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 33 + 98 + 81 + 67 + 26 \\), we will perform the addition step by step.\n\n1. **Add 33 and 98:**\n - 33 + 98 = 131\n\n2. **Add 131 and 81:**\n - 131 + 81 = 212\n\n3. **Add 212 and 67:**\n - 212 + 67 = 279\n\n4. **Add 279 and 26:**\n - 279 + 26 = 295\n\nSo, the solution to the equation...
[{"budget_forced_chunks": ["To solve the equation \\( 33 + 98 + 81 + 67 + 26 \\), we will perform the addition step by step.\n\n1. **Add 33 and 98:**\n - 33 + 98 = 131\n\n2. **Add 131 and 81:**\n - 131 + 81 = 212\n\n3. **Add 212 and 67:**\n - 212 + 67 = 279\n\n4. **Add 279 and 26:**\n - 279 + 26 = 295\n\nSo, th...
195
{"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...
129
{"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, 55, 58, 92, 32], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\(8 \\\\times 55 + 58 - 92 + 32\\\\), we will perform the operations from left to right.\\n\\nFirst, we calculate \\\\(8 \\\\times 55\\\\):\\n\\\\[ 8 \\\\times 55 = 8 \\\\times (50 + 5) = 8 \\\\times 50 + 8 \\\\times 5 = 400 + 40 = 440 \\\\]\\n\\nNext, we calculate \\\\(58 -...
["{'generation': \"To solve the equation \\\\(8 \\\\times 55 + 58 - 92 + 32\\\\), we will perform the operations from left to right.\\n\\nFirst, we calculate \\\\(8 \\\\times 55\\\\):\\n\\\\[ 8 \\\\times 55 = 8 \\\\times (50 + 5) = 8 \\\\times 50 + 8 \\\\times 5 = 400 + 40 = 440 \\\\]\\n\\nNext, we calculate \\\\(58 - ...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(8 \\times 55 + 58 - 92 + 32\\), we will perform the operations from left to right.\n\nFirst, we calculate \\(8 \\times 55\\):\n\\[ 8 \\times 55 = 8 \\times (50 + 5) = 8 \\times 50 + 8 \\times 5 = 400 + 40 = 440 \\]\n\nNext, we calculate \\(58 - 92\\):\n\\[ 58 - 92 = -34 \\]\n\nThen, we calcul...
[{"budget_forced_chunks": ["To solve the equation \\(8 \\times 55 + 58 - 92 + 32\\), we will perform the operations from left to right.\n\nFirst, we calculate \\(8 \\times 55\\):\n\\[ 8 \\times 55 = 8 \\times (50 + 5) = 8 \\times 50 + 8 \\times 5 = 400 + 40 = 440 \\]\n\nNext, we calculate \\(58 - 92\\):\n\\[ 58 - 92 = ...
196
{"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...
396
{"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 [29, 6, 6, 7, 33], create an equation that equals 396. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your w...
[["{'generation': \"To solve the multiplication problem \\\\( 29 \\\\times 6 \\\\times 6 \\\\times 7 \\\\times 33 \\\\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\\n\\n### Step 1: Break down 29 into 20 and 9\\n\\\\[ 29 = 20 + 9 \\\\]\\n\\n### Step 2: Multiply 20 by ...
["{'generation': \"To solve the multiplication problem \\\\( 29 \\\\times 6 \\\\times 6 \\\\times 7 \\\\times 33 \\\\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\\n\\n### Step 1: Break down 29 into 20 and 9\\n\\\\[ 29 = 20 + 9 \\\\]\\n\\n### Step 2: Multiply 20 by 6...
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3c1b7053f0edd447b778edbc0ad8359b0fa892d69857d9bd5e6b19007bb3f01e
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 29 \\times 6 \\times 6 \\times 7 \\times 33 \\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\n\n### Step 1: Break down 29 into 20 and 9\n\\[ 29 = 20 + 9 \\]\n\n### Step 2: Multiply 20 by 6\n\\[ 20 \\times 6 = 120 \\]\n\n### St...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 29 \\times 6 \\times 6 \\times 7 \\times 33 \\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\n\n### Step 1: Break down 29 into 20 and 9\n\\[ 29 = 20 + 9 \\]\n\n### Step 2: Multiply 20 by 6\n\\[ 20 \\t...
197
{"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...
792
{"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, 21, 40, 42, 65], create an equation that equals 792. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 65 \\\\times 21 \\\\times 40 \\\\times 42 \\\\times 65 \\\\) using basic multiplication, we can break it down into smaller steps:\\n\\n1. **Break down the multiplication into smaller parts:**\\n \\\\[\\n 65 \\\\times 21 \\\\times 40 \\\\times 42 \\\\times 65 = (65 \\\...
["{'generation': \"To solve the equation \\\\( 65 \\\\times 21 \\\\times 40 \\\\times 42 \\\\times 65 \\\\) using basic multiplication, we can break it down into smaller steps:\\n\\n1. **Break down the multiplication into smaller parts:**\\n \\\\[\\n 65 \\\\times 21 \\\\times 40 \\\\times 42 \\\\times 65 = (65 \\\\...
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74332c78b10e3ee51ac4a3c18ccc15c1b6c9807b3ca609969de5e3c361573dfa
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 65 \\times 21 \\times 40 \\times 42 \\times 65 \\) using basic multiplication, we can break it down into smaller steps:\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 65 \\times 21 \\times 40 \\times 42 \\times 65 = (65 \\times 21) \\times (65 \\times 40) \\times (65...
[{"budget_forced_chunks": ["To solve the equation \\( 65 \\times 21 \\times 40 \\times 42 \\times 65 \\) using basic multiplication, we can break it down into smaller steps:\n\n1. **Break down the multiplication into smaller parts:**\n \\[\n 65 \\times 21 \\times 40 \\times 42 \\times 65 = (65 \\times 21) \\times (...
198
{"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...
142
{"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, 21, 17, 11, 6], create an equation that equals 142. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\(87 - 21 \\\\times 17 - 11 \\\\times 6\\\\), we will follow the standard long multiplication method for the multiplication parts and then perform the subtraction.\\n\\n### Step 1: Multiply 21 by 87\\n\\n```\\n 87\\n x 21\\n ----\\n 87 (87 x 1)\\n 174 (87 x 2...
["{'generation': \"To solve the equation \\\\(87 - 21 \\\\times 17 - 11 \\\\times 6\\\\), we will follow the standard long multiplication method for the multiplication parts and then perform the subtraction.\\n\\n### Step 1: Multiply 21 by 87\\n\\n```\\n 87\\n x 21\\n ----\\n 87 (87 x 1)\\n 174 (87 x 20...
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d4ee9f58e5860574ca98e3b4839391e7a356328d4bd6afecefc2381df5f5b41b
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(87 - 21 \\times 17 - 11 \\times 6\\), we will follow the standard long multiplication method for the multiplication parts and then perform the subtraction.\n\n### Step 1: Multiply 21 by 87\n\n```\n 87\n x 21\n ----\n 87 (87 x 1)\n 174 (87 x 20, shifted one place to the left)\n...
[{"budget_forced_chunks": ["To solve the equation \\(87 - 21 \\times 17 - 11 \\times 6\\), we will follow the standard long multiplication method for the multiplication parts and then perform the subtraction.\n\n### Step 1: Multiply 21 by 87\n\n```\n 87\n x 21\n ----\n 87 (87 x 1)\n 174 (87 x 20, shifte...
199
{"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 [58, 93, 52, 47, 85], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': 'To solve the addition problem 58 + 93 + 52 + 47 + 85, we can break it down into smaller steps:\\n\\nStep 1: 58 + 93 = 151\\nStep 2: 52 + 47 = 99\\nStep 3: 85 = 85\\n\\nNow, add the results from Step 1, Step 2, and Step 3:\\n\\n151 + 99 + 85 = 235\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n2...
["{'generation': 'To solve the addition problem 58 + 93 + 52 + 47 + 85, we can break it down into smaller steps:\\n\\nStep 1: 58 + 93 = 151\\nStep 2: 52 + 47 = 99\\nStep 3: 85 = 85\\n\\nNow, add the results from Step 1, Step 2, and Step 3:\\n\\n151 + 99 + 85 = 235\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n23...
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ec33ef2017931e49e6e04b945937ef04529507f01288ba54d857b2da09e1325a
05ada863a4cf9660fd8c68e2295f1d35b2264815f5b605003d6625bd9e0492cf
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 58 + 93 + 52 + 47 + 85, we can break it down into smaller steps:\n\nStep 1: 58 + 93 = 151\nStep 2: 52 + 47 = 99\nStep 3: 85 = 85\n\nNow, add the results from Step 1, Step 2, and Step 3:\n\n151 + 99 + 85 = 235\n\nTherefore, the final answer is:\n\n<answer>\n235\n</answer>\n\nIs this answe...
[{"budget_forced_chunks": ["To solve the addition problem 58 + 93 + 52 + 47 + 85, we can break it down into smaller steps:\n\nStep 1: 58 + 93 = 151\nStep 2: 52 + 47 = 99\nStep 3: 85 = 85\n\nNow, add the results from Step 1, Step 2, and Step 3:\n\n151 + 99 + 85 = 235\n\nTherefore, the final answer is:\n\n<answer>\n235\n...
200
{"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...
686
{"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 [96, 25, 3, 57, 5], create an equation that equals 686. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your ...
[["{'generation': \"To solve the equation \\\\( 96 \\\\times 25 \\\\times 3 \\\\times 57 \\\\times 5 \\\\), we can break it down into simpler steps by using the distributive property of multiplication.\\n\\nFirst, let's rewrite the multiplication vertically:\\n\\n```\\n 96\\n x 25\\n x 3\\n x 57\\n x 5\\n...
["{'generation': \"To solve the equation \\\\( 96 \\\\times 25 \\\\times 3 \\\\times 57 \\\\times 5 \\\\), we can break it down into simpler steps by using the distributive property of multiplication.\\n\\nFirst, let's rewrite the multiplication vertically:\\n\\n```\\n 96\\n x 25\\n x 3\\n x 57\\n x 5\\n`...
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162753c27c8b32975a0edf5e89ab4ed8e2f06f02a182e0f181481cc050fdcc72
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 96 \\times 25 \\times 3 \\times 57 \\times 5 \\), we can break it down into simpler steps by using the distributive property of multiplication.\n\nFirst, let's rewrite the multiplication vertically:\n\n```\n 96\n x 25\n x 3\n x 57\n x 5\n```\n\nWe can split this into two parts:...
[{"budget_forced_chunks": ["To solve the equation \\( 96 \\times 25 \\times 3 \\times 57 \\times 5 \\), we can break it down into simpler steps by using the distributive property of multiplication.\n\nFirst, let's rewrite the multiplication vertically:\n\n```\n 96\n x 25\n x 3\n x 57\n x 5\n```\n\nWe can ...
201
{"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...
213
{"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 [71, 56, 17, 54, 49], create an equation that equals 213. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation 71 + 56 - 17 - 54 + 49, we can break it down into smaller steps:\\n\\n1. First, let's add 71 and 56:\\n \\\\[\\n 71 + 56 = 127\\n \\\\]\\n\\n2. Next, subtract 17 from 127:\\n \\\\[\\n 127 - 17 = 110\\n \\\\]\\n\\n3. Then, subtract 54 from the result:\\n \\\\[\\n ...
["{'generation': \"To solve the equation 71 + 56 - 17 - 54 + 49, we can break it down into smaller steps:\\n\\n1. First, let's add 71 and 56:\\n \\\\[\\n 71 + 56 = 127\\n \\\\]\\n\\n2. Next, subtract 17 from 127:\\n \\\\[\\n 127 - 17 = 110\\n \\\\]\\n\\n3. Then, subtract 54 from the result:\\n \\\\[\\n ...
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d48ff4b2f68a10fd7c86f185a6ccede0dc0f2c48538d697cb33b6ada3f1e85db
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 71 + 56 - 17 - 54 + 49, we can break it down into smaller steps:\n\n1. First, let's add 71 and 56:\n \\[\n 71 + 56 = 127\n \\]\n\n2. Next, subtract 17 from 127:\n \\[\n 127 - 17 = 110\n \\]\n\n3. Then, subtract 54 from the result:\n \\[\n 110 - 54 = 56\n \\]\n\n4. Finally, add ...
[{"budget_forced_chunks": ["To solve the equation 71 + 56 - 17 - 54 + 49, we can break it down into smaller steps:\n\n1. First, let's add 71 and 56:\n \\[\n 71 + 56 = 127\n \\]\n\n2. Next, subtract 17 from 127:\n \\[\n 127 - 17 = 110\n \\]\n\n3. Then, subtract 54 from the result:\n \\[\n 110 - 54 = 56\n...
202
{"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...
261
{"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, 23, 75, 80, 38], create an equation that equals 261. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 45 + 23 + 75 + 80 + 38, we can break it down into smaller steps:\\n\\n1. First, add 45 and 23:\\n \\\\[\\n 45 + 23 = 68\\n \\\\]\\n\\n2. Next, add 68 and 75:\\n \\\\[\\n 68 + 75 = 143\\n \\\\]\\n\\n3. Then, add 143 and 80:\\n \\\\[\\n 143 + 80 = 223\\n ...
["{'generation': \"To solve the addition problem 45 + 23 + 75 + 80 + 38, we can break it down into smaller steps:\\n\\n1. First, add 45 and 23:\\n \\\\[\\n 45 + 23 = 68\\n \\\\]\\n\\n2. Next, add 68 and 75:\\n \\\\[\\n 68 + 75 = 143\\n \\\\]\\n\\n3. Then, add 143 and 80:\\n \\\\[\\n 143 + 80 = 223\\n ...
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9ce80d48f38e20bd95685a902b9d4c195138a035f0485913fcdc435e2d148db7
e888a676e1926d0c08b5f11fb9116df58b62604b05846f39f8d6fc4dd0ba31f1
0
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 45 + 23 + 75 + 80 + 38, we can break it down into smaller steps:\n\n1. First, add 45 and 23:\n \\[\n 45 + 23 = 68\n \\]\n\n2. Next, add 68 and 75:\n \\[\n 68 + 75 = 143\n \\]\n\n3. Then, add 143 and 80:\n \\[\n 143 + 80 = 223\n \\]\n\n4. Finally, add 223 and 38:\n \\[...
[{"budget_forced_chunks": ["To solve the addition problem 45 + 23 + 75 + 80 + 38, we can break it down into smaller steps:\n\n1. First, add 45 and 23:\n \\[\n 45 + 23 = 68\n \\]\n\n2. Next, add 68 and 75:\n \\[\n 68 + 75 = 143\n \\]\n\n3. Then, add 143 and 80:\n \\[\n 143 + 80 = 223\n \\]\n\n4. Finall...
203
{"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...
421
{"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, 13, 49, 73, 43], create an equation that equals 421. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show yo...
[["{'generation': \"To solve the equation \\\\( 100 \\\\times 13 \\\\times 49 \\\\times 73 \\\\times 43 \\\\), we will break it down into simpler steps using the distributive property of multiplication.\\n\\nFirst, we can group the numbers into pairs for easier multiplication:\\n\\n\\\\[\\n(100 \\\\times 13) \\\\times ...
["{'generation': \"To solve the equation \\\\( 100 \\\\times 13 \\\\times 49 \\\\times 73 \\\\times 43 \\\\), we will break it down into simpler steps using the distributive property of multiplication.\\n\\nFirst, we can group the numbers into pairs for easier multiplication:\\n\\n\\\\[\\n(100 \\\\times 13) \\\\times (...
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7e4b6fd163b551259e0f2b465f34c15bf20200540a361721f369ec450faaa99f
5092c37bcbc9f0fb33cb0f9cab7aa5ae94ed0f1219773c380b143b7c1224d01b
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 100 \\times 13 \\times 49 \\times 73 \\times 43 \\), we will break it down into simpler steps using the distributive property of multiplication.\n\nFirst, we can group the numbers into pairs for easier multiplication:\n\n\\[\n(100 \\times 13) \\times (49 \\times 73) \\times (43)\n\\]\n\nLet'...
[{"budget_forced_chunks": ["To solve the equation \\( 100 \\times 13 \\times 49 \\times 73 \\times 43 \\), we will break it down into simpler steps using the distributive property of multiplication.\n\nFirst, we can group the numbers into pairs for easier multiplication:\n\n\\[\n(100 \\times 13) \\times (49 \\times 73)...
204
{"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...
186
{"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 [58, 71, 4, 46, 99], create an equation that equals 186. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the addition problem 58 + 71 + 4 + 46 + 99, we can break it down into smaller steps:\\n\\n1. First, add 58 and 71:\\n \\\\[\\n 58 + 71 = 129\\n \\\\]\\n\\n2. Next, add 4 and 46:\\n \\\\[\\n 4 + 46 = 50\\n \\\\]\\n\\n3. Now, add the results from the previous two steps:\\n \\\\[...
["{'generation': \"To solve the addition problem 58 + 71 + 4 + 46 + 99, we can break it down into smaller steps:\\n\\n1. First, add 58 and 71:\\n \\\\[\\n 58 + 71 = 129\\n \\\\]\\n\\n2. Next, add 4 and 46:\\n \\\\[\\n 4 + 46 = 50\\n \\\\]\\n\\n3. Now, add the results from the previous two steps:\\n \\\\[\...
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01790dd49ef47ebd0a26135ce60bbc90f18d34f5b2b1aa58ebbc6330fbb4bc40
2811745d7b8d8874f6e653d176cefdd19e05e920ce389b9b7e83e5b2dfa546c7
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 58 + 71 + 4 + 46 + 99, we can break it down into smaller steps:\n\n1. First, add 58 and 71:\n \\[\n 58 + 71 = 129\n \\]\n\n2. Next, add 4 and 46:\n \\[\n 4 + 46 = 50\n \\]\n\n3. Now, add the results from the previous two steps:\n \\[\n 129 + 50 = 179\n \\]\n\n4. Finally...
[{"budget_forced_chunks": ["To solve the addition problem 58 + 71 + 4 + 46 + 99, we can break it down into smaller steps:\n\n1. First, add 58 and 71:\n \\[\n 58 + 71 = 129\n \\]\n\n2. Next, add 4 and 46:\n \\[\n 4 + 46 = 50\n \\]\n\n3. Now, add the results from the previous two steps:\n \\[\n 129 + 50 =...
205
{"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...
266
{"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, 59, 69, 13, 54], create an equation that equals 266. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation 10 * 59 + 69 - 13 * 54, we can break it down into smaller steps and solve it quickly.\\n\\nFirst, we can rewrite the equation as:\\n<nosolve> 10 * 59 + 69 - (10 * 5 * 5) </nosolve>\\n\\nNow, let's solve it step by step:\\n\\n1. 10 * 59 = 590 (Multiply 10 by 59)\\n2. 10 * 5 = 50...
["{'generation': \"To solve the equation 10 * 59 + 69 - 13 * 54, we can break it down into smaller steps and solve it quickly.\\n\\nFirst, we can rewrite the equation as:\\n<nosolve> 10 * 59 + 69 - (10 * 5 * 5) </nosolve>\\n\\nNow, let's solve it step by step:\\n\\n1. 10 * 59 = 590 (Multiply 10 by 59)\\n2. 10 * 5 = 50 ...
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eaed9f3740c24a5e2986476666820bda4b3763126223512e6fcde0b24ec527ef
ea5b27556fbb134def2c2fbf944d9cdda3dbdb6b10473a1aec59f6f170c4ca3a
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 10 * 59 + 69 - 13 * 54, we can break it down into smaller steps and solve it quickly.\n\nFirst, we can rewrite the equation as:\n<nosolve> 10 * 59 + 69 - (10 * 5 * 5) </nosolve>\n\nNow, let's solve it step by step:\n\n1. 10 * 59 = 590 (Multiply 10 by 59)\n2. 10 * 5 = 50 (Multiply 10 by 5 again)\...
[{"budget_forced_chunks": ["To solve the equation 10 * 59 + 69 - 13 * 54, we can break it down into smaller steps and solve it quickly.\n\nFirst, we can rewrite the equation as:\n<nosolve> 10 * 59 + 69 - (10 * 5 * 5) </nosolve>\n\nNow, let's solve it step by step:\n\n1. 10 * 59 = 590 (Multiply 10 by 59)\n2. 10 * 5 = 50...
206
{"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...
163
{"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 [40, 96, 41, 66, 26], create an equation that equals 163. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': 'To solve the equation 40 * 96 + 41 * 66 - 26 * 60, we follow the standard long multiplication method to multiply each number by each digit of the other number, starting from the rightmost digit.\\n\\nStep 1: Multiply 40 by 60.\\n40 * 60 = 2400\\n\\nStep 2: Multiply 40 by 66.\\n40 * 66 = 2640\\n\\nSte...
["{'generation': 'To solve the equation 40 * 96 + 41 * 66 - 26 * 60, we follow the standard long multiplication method to multiply each number by each digit of the other number, starting from the rightmost digit.\\n\\nStep 1: Multiply 40 by 60.\\n40 * 60 = 2400\\n\\nStep 2: Multiply 40 by 66.\\n40 * 66 = 2640\\n\\nStep...
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2f74bec2b242964fe857f25eef5c297fbcb64caf0c51c2b24379def2e30829dd
3d3286f7cd19074f04e514b0c6c237e757513fb32820698b790e1dec801d947a
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 40 * 96 + 41 * 66 - 26 * 60, we follow the standard long multiplication method to multiply each number by each digit of the other number, starting from the rightmost digit.\n\nStep 1: Multiply 40 by 60.\n40 * 60 = 2400\n\nStep 2: Multiply 40 by 66.\n40 * 66 = 2640\n\nStep 3: Add the results from...
[{"budget_forced_chunks": ["To solve the equation 40 * 96 + 41 * 66 - 26 * 60, we follow the standard long multiplication method to multiply each number by each digit of the other number, starting from the rightmost digit.\n\nStep 1: Multiply 40 by 60.\n40 * 60 = 2400\n\nStep 2: Multiply 40 by 66.\n40 * 66 = 2640\n\nSt...
207
{"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...
100
{"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, 74, 93, 61, 56], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the problem of adding up to 100 using the numbers [36, 74, 93, 61, 56], we can follow this approach:\\n\\n1. **Break down the numbers**:\\n - 36 = 30 + 6\\n - 74 = 70 + 4\\n - 93 = 90 + 3\\n - 61 = 60 + 1\\n - 56 = 50 + 6\\n\\n2. **Add the numbers**:\\n - 30 + 70 = 100\\n - 3 ...
["{'generation': \"To solve the problem of adding up to 100 using the numbers [36, 74, 93, 61, 56], we can follow this approach:\\n\\n1. **Break down the numbers**:\\n - 36 = 30 + 6\\n - 74 = 70 + 4\\n - 93 = 90 + 3\\n - 61 = 60 + 1\\n - 56 = 50 + 6\\n\\n2. **Add the numbers**:\\n - 30 + 70 = 100\\n - 3 +...
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655f3fd0cc265fd3bf8cf0854543fb31c0182f4e7e3c3a0877b5667a4a910abd
ad57366865126e55649ecb23ae1d48887544976efea46a48eb5d85a6eeb4d306
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 100 using the numbers [36, 74, 93, 61, 56], we can follow this approach:\n\n1. **Break down the numbers**:\n - 36 = 30 + 6\n - 74 = 70 + 4\n - 93 = 90 + 3\n - 61 = 60 + 1\n - 56 = 50 + 6\n\n2. **Add the numbers**:\n - 30 + 70 = 100\n - 3 + 4 = 7\n - 90 + 1 = 91\n ...
[{"budget_forced_chunks": ["To solve the problem of adding up to 100 using the numbers [36, 74, 93, 61, 56], we can follow this approach:\n\n1. **Break down the numbers**:\n - 36 = 30 + 6\n - 74 = 70 + 4\n - 93 = 90 + 3\n - 61 = 60 + 1\n - 56 = 50 + 6\n\n2. **Add the numbers**:\n - 30 + 70 = 100\n - 3 + 4...
208
{"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...
105
{"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, 31, 9, 20, 100], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\(37 \\\\times 31 - 9 \\\\times 20 + 100\\\\), we will perform the operations step by step.\\n\\n1. First, calculate \\\\(37 \\\\times 31\\\\):\\n \\\\[\\n 37 \\\\times 31 = 37 \\\\times (30 + 1) = 37 \\\\times 30 + 37 \\\\times 1 = 1110 + 37 = 1147\\n \\\\]\\n\\n2. Ne...
["{'generation': \"To solve the equation \\\\(37 \\\\times 31 - 9 \\\\times 20 + 100\\\\), we will perform the operations step by step.\\n\\n1. First, calculate \\\\(37 \\\\times 31\\\\):\\n \\\\[\\n 37 \\\\times 31 = 37 \\\\times (30 + 1) = 37 \\\\times 30 + 37 \\\\times 1 = 1110 + 37 = 1147\\n \\\\]\\n\\n2. Nex...
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373f233a474b58d3301be496435c77f3375630fd21d99bc73977245b2f4b9dd0
1253e9373e781b7500266caa55150e08e210bc8cd8cc70d89985e3600155e860
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(37 \\times 31 - 9 \\times 20 + 100\\), we will perform the operations step by step.\n\n1. First, calculate \\(37 \\times 31\\):\n \\[\n 37 \\times 31 = 37 \\times (30 + 1) = 37 \\times 30 + 37 \\times 1 = 1110 + 37 = 1147\n \\]\n\n2. Next, calculate \\(9 \\times 20\\):\n \\[\n 9 \\t...
[{"budget_forced_chunks": ["To solve the equation \\(37 \\times 31 - 9 \\times 20 + 100\\), we will perform the operations step by step.\n\n1. First, calculate \\(37 \\times 31\\):\n \\[\n 37 \\times 31 = 37 \\times (30 + 1) = 37 \\times 30 + 37 \\times 1 = 1110 + 37 = 1147\n \\]\n\n2. Next, calculate \\(9 \\time...
209
{"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 [89, 18, 100, 62, 76], create an equation that equals 157. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show yo...
[["{'generation': \"To solve the equation \\\\( 89 + 18 - 100 + 62 + 76 = 157 \\\\).\\n\\n1. First, let's break it down into smaller steps:\\n - \\\\( 89 + 18 \\\\) might equal \\\\( 100 \\\\) or \\\\( 1 \\\\)\\n - From there, subtract \\\\( 100 \\\\) or \\\\( 1 \\\\)\\n - Add \\\\( 62 \\\\)\\n - Add \\\\( 76 \...
["{'generation': \"To solve the equation \\\\( 89 + 18 - 100 + 62 + 76 = 157 \\\\).\\n\\n1. First, let's break it down into smaller steps:\\n - \\\\( 89 + 18 \\\\) might equal \\\\( 100 \\\\) or \\\\( 1 \\\\)\\n - From there, subtract \\\\( 100 \\\\) or \\\\( 1 \\\\)\\n - Add \\\\( 62 \\\\)\\n - Add \\\\( 76 \\...
2690cb3685072f5346bc1f8bedb0829467c40c868905dcd75a1f36376ecd8c80
e73fcbe2ec9b8526c2f5dbd52dcb3815969e54161d1a5635d07b08f64a1c41e9
c75de23d89df36ba921287616ee8edb4c986e328a78e033e57c1e5e2b59c838e
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 89 + 18 - 100 + 62 + 76 = 157 \\).\n\n1. First, let's break it down into smaller steps:\n - \\( 89 + 18 \\) might equal \\( 100 \\) or \\( 1 \\)\n - From there, subtract \\( 100 \\) or \\( 1 \\)\n - Add \\( 62 \\)\n - Add \\( 76 \\)\n\n2. Let's try \\( 89 + 18 = 107 \\) (if we add 10...
[{"budget_forced_chunks": ["To solve the equation \\( 89 + 18 - 100 + 62 + 76 = 157 \\).\n\n1. First, let's break it down into smaller steps:\n - \\( 89 + 18 \\) might equal \\( 100 \\) or \\( 1 \\)\n - From there, subtract \\( 100 \\) or \\( 1 \\)\n - Add \\( 62 \\)\n - Add \\( 76 \\)\n\n2. Let's try \\( 89 + ...
210
{"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...
787
{"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 [15, 52, 27, 10, 66], create an equation that equals 787. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': 'To solve the equation \\\\(15 \\\\times 52 - 27 \\\\times 10 + 10 \\\\times 66\\\\), we will follow the standard long multiplication method to multiply each number by each digit of the other number, then sum the results.\\n\\nStep 1: Multiply 15 by 2.\\n\\\\[\\n15 \\\\times 2 = 30\\n\\\\]\\n\\nStep 2...
["{'generation': 'To solve the equation \\\\(15 \\\\times 52 - 27 \\\\times 10 + 10 \\\\times 66\\\\), we will follow the standard long multiplication method to multiply each number by each digit of the other number, then sum the results.\\n\\nStep 1: Multiply 15 by 2.\\n\\\\[\\n15 \\\\times 2 = 30\\n\\\\]\\n\\nStep 2:...
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4062e9c8f5c0a08fb557d34241c7e5c4f748d5cd8f50a451e66cf5ef3dbf85dd
fc091d39524c9d4b5b11f84f9132996a94ca01c9816d2db3b866bef1b0699d91
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(15 \\times 52 - 27 \\times 10 + 10 \\times 66\\), we will follow the standard long multiplication method to multiply each number by each digit of the other number, then sum the results.\n\nStep 1: Multiply 15 by 2.\n\\[\n15 \\times 2 = 30\n\\]\n\nStep 2: Multiply 15 by 5.\n\\[\n15 \\times 5 =...
[{"budget_forced_chunks": ["To solve the equation \\(15 \\times 52 - 27 \\times 10 + 10 \\times 66\\), we will follow the standard long multiplication method to multiply each number by each digit of the other number, then sum the results.\n\nStep 1: Multiply 15 by 2.\n\\[\n15 \\times 2 = 30\n\\]\n\nStep 2: Multiply 15 ...
211
{"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...
565
{"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 [68, 47, 28, 61, 42], create an equation that equals 565. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': 'To solve the addition problem 68 + 47 + 28 + 61 + 42, we can break it down into smaller steps:\\n\\n1. Add 68 and 47:\\n 68 + 47 = 115\\n\\n2. Add 115 and 28:\\n 115 + 28 = 143\\n\\n3. Add 143 and 61:\\n 143 + 61 = 204\\n\\n4. Add 204 and 42:\\n 204 + 42 = 246\\n\\nTherefore, the final answer...
["{'generation': 'To solve the addition problem 68 + 47 + 28 + 61 + 42, we can break it down into smaller steps:\\n\\n1. Add 68 and 47:\\n 68 + 47 = 115\\n\\n2. Add 115 and 28:\\n 115 + 28 = 143\\n\\n3. Add 143 and 61:\\n 143 + 61 = 204\\n\\n4. Add 204 and 42:\\n 204 + 42 = 246\\n\\nTherefore, the final answer ...
a1e97af20a3ad7a5319f45278d72c5b6c522703afb930617927aba1f6965394e
7a8673d7482a556cf6fddea10b5d8f712765e5139c37ac121c07aae6bb156f84
236b565af6b512826fd89dbbde2e88b94465f780985c134e58b62dea6ee258b2
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 68 + 47 + 28 + 61 + 42, we can break it down into smaller steps:\n\n1. Add 68 and 47:\n 68 + 47 = 115\n\n2. Add 115 and 28:\n 115 + 28 = 143\n\n3. Add 143 and 61:\n 143 + 61 = 204\n\n4. Add 204 and 42:\n 204 + 42 = 246\n\nTherefore, the final answer is:\n\n<answer>\n246\n</answer...
[{"budget_forced_chunks": ["To solve the addition problem 68 + 47 + 28 + 61 + 42, we can break it down into smaller steps:\n\n1. Add 68 and 47:\n 68 + 47 = 115\n\n2. Add 115 and 28:\n 115 + 28 = 143\n\n3. Add 143 and 61:\n 143 + 61 = 204\n\n4. Add 204 and 42:\n 204 + 42 = 246\n\nTherefore, the final answer is:\...
212
{"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 [76, 53, 54, 11, 54], create an equation that equals 140. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the problem of adding up to 140 using the numbers [76, 53, 54, 11, 54], I will break it down into potential paths the algorithm could take, starting with the highest numbers and working my way down, just as a\u6cd5\u5b98\u5ba1\u7406\u6848\u4ef6\u65f6\u7684\u601d\u8def:\\n\\n1. First, consid...
["{'generation': \"To solve the problem of adding up to 140 using the numbers [76, 53, 54, 11, 54], I will break it down into potential paths the algorithm could take, starting with the highest numbers and working my way down, just as a\u6cd5\u5b98\u5ba1\u7406\u6848\u4ef6\u65f6\u7684\u601d\u8def:\\n\\n1. First, conside...
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0
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 140 using the numbers [76, 53, 54, 11, 54], I will break it down into potential paths the algorithm could take, starting with the highest numbers and working my way down, just as a\u6cd5\u5b98\u5ba1\u7406\u6848\u4ef6\u65f6\u7684\u601d\u8def:\n\n1. First, consider 54 + 11 = 65. Now...
[{"budget_forced_chunks": ["To solve the problem of adding up to 140 using the numbers [76, 53, 54, 11, 54], I will break it down into potential paths the algorithm could take, starting with the highest numbers and working my way down, just as a\u6cd5\u5b98\u5ba1\u7406\u6848\u4ef6\u65f6\u7684\u601d\u8def:\n\n1. First, ...
213
{"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 [68, 94, 76, 2, 69], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': 'To solve the equation \\\\( 68 + 94 + 76 + 2 + 69 \\\\), we will follow the standard algorithm for addition, which is often referred to as the \"carry-the-sum\" method. Here\u2019s how step-by-step:\\n\\n1. **Add 68 and 2:**\\n \\\\[\\n 68 + 2 = 70\\n \\\\]\\n\\n2. **Add 94 and 76:**\\n \\\\[...
["{'generation': 'To solve the equation \\\\( 68 + 94 + 76 + 2 + 69 \\\\), we will follow the standard algorithm for addition, which is often referred to as the \"carry-the-sum\" method. Here\u2019s how step-by-step:\\n\\n1. **Add 68 and 2:**\\n \\\\[\\n 68 + 2 = 70\\n \\\\]\\n\\n2. **Add 94 and 76:**\\n \\\\[\...
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 68 + 94 + 76 + 2 + 69 \\), we will follow the standard algorithm for addition, which is often referred to as the \"carry-the-sum\" method. Here\u2019s how step-by-step:\n\n1. **Add 68 and 2:**\n \\[\n 68 + 2 = 70\n \\]\n\n2. **Add 94 and 76:**\n \\[\n 94 + 76 = 170\n \\]\n Now ...
[{"budget_forced_chunks": ["To solve the equation \\( 68 + 94 + 76 + 2 + 69 \\), we will follow the standard algorithm for addition, which is often referred to as the \"carry-the-sum\" method. Here\u2019s how step-by-step:\n\n1. **Add 68 and 2:**\n \\[\n 68 + 2 = 70\n \\]\n\n2. **Add 94 and 76:**\n \\[\n 94 +...
214
{"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...
283
{"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 [43, 68, 95, 28, 62], create an equation that equals 283. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 43 + 68 + 95 + 28 + 62, we can break it down into smaller steps:\\n\\n1. First, add 43 and 68:\\n \\\\[\\n 43 + 68 = 111\\n \\\\]\\n\\n2. Then, add 111 and 95:\\n \\\\[\\n 111 + 95 = 206\\n \\\\]\\n\\n3. Next, add 206 and 28:\\n \\\\[\\n 206 + 28 = 234\\...
["{'generation': \"To solve the addition problem 43 + 68 + 95 + 28 + 62, we can break it down into smaller steps:\\n\\n1. First, add 43 and 68:\\n \\\\[\\n 43 + 68 = 111\\n \\\\]\\n\\n2. Then, add 111 and 95:\\n \\\\[\\n 111 + 95 = 206\\n \\\\]\\n\\n3. Next, add 206 and 28:\\n \\\\[\\n 206 + 28 = 234\\n...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 43 + 68 + 95 + 28 + 62, we can break it down into smaller steps:\n\n1. First, add 43 and 68:\n \\[\n 43 + 68 = 111\n \\]\n\n2. Then, add 111 and 95:\n \\[\n 111 + 95 = 206\n \\]\n\n3. Next, add 206 and 28:\n \\[\n 206 + 28 = 234\n \\]\n\n4. Finally, add 234 and 62:\n ...
[{"budget_forced_chunks": ["To solve the addition problem 43 + 68 + 95 + 28 + 62, we can break it down into smaller steps:\n\n1. First, add 43 and 68:\n \\[\n 43 + 68 = 111\n \\]\n\n2. Then, add 111 and 95:\n \\[\n 111 + 95 = 206\n \\]\n\n3. Next, add 206 and 28:\n \\[\n 206 + 28 = 234\n \\]\n\n4. Fin...
215
{"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...
530
{"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 [93, 7, 43, 20, 98], create an equation that equals 530. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\( 93 \\\\times 7 \\\\times 43 \\\\times 20 \\\\times 98 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\\n\\n1. First, break out the 20 and 98 because they are easy to multiply with 93 and 7:\\n \\\\[\\n ...
["{'generation': \"To solve the equation \\\\( 93 \\\\times 7 \\\\times 43 \\\\times 20 \\\\times 98 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\\n\\n1. First, break out the 20 and 98 because they are easy to multiply with 93 and 7:\\n \\\\[\\n ...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 93 \\times 7 \\times 43 \\times 20 \\times 98 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\n\n1. First, break out the 20 and 98 because they are easy to multiply with 93 and 7:\n \\[\n 93 \\times 7 \\times (40 \\times 20...
[{"budget_forced_chunks": ["To solve the equation \\( 93 \\times 7 \\times 43 \\times 20 \\times 98 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\n\n1. First, break out the 20 and 98 because they are easy to multiply with 93 and 7:\n \\[\n 93 \\time...
216
{"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...
163
{"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 [51, 23, 80, 4, 98], create an equation that equals 163. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\( 51 \\\\times 23 \\\\times 80 \\\\times 4 \\\\times 98 \\\\) using the distributive property, we can break it down into simpler steps.\\n\\nFirst, let's group some of the numbers together:\\n\\n\\\\[ (50 + 1) \\\\times (20 + 3) \\\\times 80 \\\\times 4 \\\\times 98 \\\\]\\...
["{'generation': \"To solve the equation \\\\( 51 \\\\times 23 \\\\times 80 \\\\times 4 \\\\times 98 \\\\) using the distributive property, we can break it down into simpler steps.\\n\\nFirst, let's group some of the numbers together:\\n\\n\\\\[ (50 + 1) \\\\times (20 + 3) \\\\times 80 \\\\times 4 \\\\times 98 \\\\]\\n...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 51 \\times 23 \\times 80 \\times 4 \\times 98 \\) using the distributive property, we can break it down into simpler steps.\n\nFirst, let's group some of the numbers together:\n\n\\[ (50 + 1) \\times (20 + 3) \\times 80 \\times 4 \\times 98 \\]\n\nNow, apply the distributive property:\n\n\\[...
[{"budget_forced_chunks": ["To solve the equation \\( 51 \\times 23 \\times 80 \\times 4 \\times 98 \\) using the distributive property, we can break it down into simpler steps.\n\nFirst, let's group some of the numbers together:\n\n\\[ (50 + 1) \\times (20 + 3) \\times 80 \\times 4 \\times 98 \\]\n\nNow, apply the dis...
217
{"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...
250
{"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 [53, 27, 72, 60, 63], create an equation that equals 250. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 53 \\\\times 27 + 72 \\\\times 60 + 63 \\\\times 10 \\\\) step by step, we can break it down as follows:\\n\\n1. **Break the multiplication into smaller parts**:\\n - \\\\( 53 \\\\times 27 \\\\)\\n - \\\\( 72 \\\\times 60 \\\\)\\n - \\\\( 63 \\\\times 10 \\\\)\\n\\n...
["{'generation': \"To solve the equation \\\\( 53 \\\\times 27 + 72 \\\\times 60 + 63 \\\\times 10 \\\\) step by step, we can break it down as follows:\\n\\n1. **Break the multiplication into smaller parts**:\\n - \\\\( 53 \\\\times 27 \\\\)\\n - \\\\( 72 \\\\times 60 \\\\)\\n - \\\\( 63 \\\\times 10 \\\\)\\n\\n2...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 53 \\times 27 + 72 \\times 60 + 63 \\times 10 \\) step by step, we can break it down as follows:\n\n1. **Break the multiplication into smaller parts**:\n - \\( 53 \\times 27 \\)\n - \\( 72 \\times 60 \\)\n - \\( 63 \\times 10 \\)\n\n2. **Calculate each part separately**:\n - \\( 53 \...
[{"budget_forced_chunks": ["To solve the equation \\( 53 \\times 27 + 72 \\times 60 + 63 \\times 10 \\) step by step, we can break it down as follows:\n\n1. **Break the multiplication into smaller parts**:\n - \\( 53 \\times 27 \\)\n - \\( 72 \\times 60 \\)\n - \\( 63 \\times 10 \\)\n\n2. **Calculate each part se...
218
{"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...
951
{"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, 91, 15, 84, 35], create an equation that equals 951. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 13 + 91 + 15 + 84 + 35, we can break it down into smaller steps:\\n\\n1. First, add 13 and 91:\\n \\\\[ 13 + 91 = 104 \\\\]\\n\\n2. Next, add 15 to the result from step 1:\\n \\\\[ 104 + 15 = 119 \\\\]\\n\\n3. Finally, add 84 to the result from step 2:\\n \\\\[ 11...
["{'generation': \"To solve the addition problem 13 + 91 + 15 + 84 + 35, we can break it down into smaller steps:\\n\\n1. First, add 13 and 91:\\n \\\\[ 13 + 91 = 104 \\\\]\\n\\n2. Next, add 15 to the result from step 1:\\n \\\\[ 104 + 15 = 119 \\\\]\\n\\n3. Finally, add 84 to the result from step 2:\\n \\\\[ 119...
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8a8b2d66735ed03d0841027e42d38806eedd8e5bd5da54270f958a55d509091f
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 13 + 91 + 15 + 84 + 35, we can break it down into smaller steps:\n\n1. First, add 13 and 91:\n \\[ 13 + 91 = 104 \\]\n\n2. Next, add 15 to the result from step 1:\n \\[ 104 + 15 = 119 \\]\n\n3. Finally, add 84 to the result from step 2:\n \\[ 119 + 84 = 203 \\]\n\nSo, the final ans...
[{"budget_forced_chunks": ["To solve the addition problem 13 + 91 + 15 + 84 + 35, we can break it down into smaller steps:\n\n1. First, add 13 and 91:\n \\[ 13 + 91 = 104 \\]\n\n2. Next, add 15 to the result from step 1:\n \\[ 104 + 15 = 119 \\]\n\n3. Finally, add 84 to the result from step 2:\n \\[ 119 + 84 = 20...
219
{"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...
331
{"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 [99, 3, 23, 60, 79], create an equation that equals 331. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\(99 \\\\times 3 - 23 \\\\times 60 + 79\\\\), we will perform the operations from left to right, ensuring we get the correct final result. Let's break it down step by step:\\n\\n1. **First Step**: Multiply 99 by 3.\\n \\\\[\\n 99 \\\\times 3 = 297\\n \\\\]\\n\\n2. **Se...
["{'generation': \"To solve the equation \\\\(99 \\\\times 3 - 23 \\\\times 60 + 79\\\\), we will perform the operations from left to right, ensuring we get the correct final result. Let's break it down step by step:\\n\\n1. **First Step**: Multiply 99 by 3.\\n \\\\[\\n 99 \\\\times 3 = 297\\n \\\\]\\n\\n2. **Sec...
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0bba869d7f392cbcaca6b8935ddc7fc3a8c50846d884959333fb7da475957511
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(99 \\times 3 - 23 \\times 60 + 79\\), we will perform the operations from left to right, ensuring we get the correct final result. Let's break it down step by step:\n\n1. **First Step**: Multiply 99 by 3.\n \\[\n 99 \\times 3 = 297\n \\]\n\n2. **Second Step**: Multiply 99 by 3 (we are a...
[{"budget_forced_chunks": ["To solve the equation \\(99 \\times 3 - 23 \\times 60 + 79\\), we will perform the operations from left to right, ensuring we get the correct final result. Let's break it down step by step:\n\n1. **First Step**: Multiply 99 by 3.\n \\[\n 99 \\times 3 = 297\n \\]\n\n2. **Second Step**: ...
220
{"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...
682
{"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 [43, 89, 6, 67, 6], create an equation that equals 682. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your ...
[["{'generation': 'To solve the addition problem 43 + 89 + 6 + 67 + 6, we follow these steps:\\n\\n1. First, add 43 and 6:\\n 43 + 6 = 49\\n\\n2. Then, add 49 and 89:\\n 49 + 89 = 138\\n\\n3. Next, add 138 and 6:\\n 138 + 6 = 144\\n\\n4. Finally, add 144 and 6:\\n 144 + 6 = 150\\n\\nSo, the solution to the addi...
["{'generation': 'To solve the addition problem 43 + 89 + 6 + 67 + 6, we follow these steps:\\n\\n1. First, add 43 and 6:\\n 43 + 6 = 49\\n\\n2. Then, add 49 and 89:\\n 49 + 89 = 138\\n\\n3. Next, add 138 and 6:\\n 138 + 6 = 144\\n\\n4. Finally, add 144 and 6:\\n 144 + 6 = 150\\n\\nSo, the solution to the addit...
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0
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 43 + 89 + 6 + 67 + 6, we follow these steps:\n\n1. First, add 43 and 6:\n 43 + 6 = 49\n\n2. Then, add 49 and 89:\n 49 + 89 = 138\n\n3. Next, add 138 and 6:\n 138 + 6 = 144\n\n4. Finally, add 144 and 6:\n 144 + 6 = 150\n\nSo, the solution to the addition problem is 150.\n\nIs this...
[{"budget_forced_chunks": ["To solve the addition problem 43 + 89 + 6 + 67 + 6, we follow these steps:\n\n1. First, add 43 and 6:\n 43 + 6 = 49\n\n2. Then, add 49 and 89:\n 49 + 89 = 138\n\n3. Next, add 138 and 6:\n 138 + 6 = 144\n\n4. Finally, add 144 and 6:\n 144 + 6 = 150\n\nSo, the solution to the addition ...
221
{"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 [76, 24, 2, 3, 3], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your w...
[["{'generation': \"To solve the equation \\\\(76 \\\\times 24\\\\) using the numbers [76, 24, 2, 3, 3], we can break it down into simpler steps by first multiplying 76 by 24 and then adjusting for the remaining multiplication.\\n\\nStep 1: Multiply 76 by 4.\\n\\\\[76 \\\\times 4 = 304\\\\]\\n\\nStep 2: Multiply 76 by ...
["{'generation': \"To solve the equation \\\\(76 \\\\times 24\\\\) using the numbers [76, 24, 2, 3, 3], we can break it down into simpler steps by first multiplying 76 by 24 and then adjusting for the remaining multiplication.\\n\\nStep 1: Multiply 76 by 4.\\n\\\\[76 \\\\times 4 = 304\\\\]\\n\\nStep 2: Multiply 76 by 2...
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02d75abf2e6285fe3252aeed7d711f6947ee72d1c9d0f8b1e72b7f9f89a53226
37834f2f25762f23e1f74a531cbe445db73d6765ebe60878a7dfbecd7d4af6e1
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(76 \\times 24\\) using the numbers [76, 24, 2, 3, 3], we can break it down into simpler steps by first multiplying 76 by 24 and then adjusting for the remaining multiplication.\n\nStep 1: Multiply 76 by 4.\n\\[76 \\times 4 = 304\\]\n\nStep 2: Multiply 76 by 20 (which is 24 - 4).\n\\[76 \\time...
[{"budget_forced_chunks": ["To solve the equation \\(76 \\times 24\\) using the numbers [76, 24, 2, 3, 3], we can break it down into simpler steps by first multiplying 76 by 24 and then adjusting for the remaining multiplication.\n\nStep 1: Multiply 76 by 4.\n\\[76 \\times 4 = 304\\]\n\nStep 2: Multiply 76 by 20 (which...
222
{"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...
947
{"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 [40, 22, 50, 64, 49], create an equation that equals 947. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the problem of adding 40, 22, 50, 64, and 49 to get 947, we follow these steps:\\n\\n1. First, add 40 and 64: \\n \\\\[ 40 + 64 = 104 \\\\]\\n\\n2. Then, add 104 and 22:\\n \\\\[ 104 + 22 = 126 \\\\]\\n\\n3. Finally, add 126 and 49:\\n \\\\[ 126 + 49 = 175 \\\\]\\n\\nSo, the solution ...
["{'generation': \"To solve the problem of adding 40, 22, 50, 64, and 49 to get 947, we follow these steps:\\n\\n1. First, add 40 and 64: \\n \\\\[ 40 + 64 = 104 \\\\]\\n\\n2. Then, add 104 and 22:\\n \\\\[ 104 + 22 = 126 \\\\]\\n\\n3. Finally, add 126 and 49:\\n \\\\[ 126 + 49 = 175 \\\\]\\n\\nSo, the solution i...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 40, 22, 50, 64, and 49 to get 947, we follow these steps:\n\n1. First, add 40 and 64: \n \\[ 40 + 64 = 104 \\]\n\n2. Then, add 104 and 22:\n \\[ 104 + 22 = 126 \\]\n\n3. Finally, add 126 and 49:\n \\[ 126 + 49 = 175 \\]\n\nSo, the solution is:\n\\boxed{947}\n\nIs this answer corre...
[{"budget_forced_chunks": ["To solve the problem of adding 40, 22, 50, 64, and 49 to get 947, we follow these steps:\n\n1. First, add 40 and 64: \n \\[ 40 + 64 = 104 \\]\n\n2. Then, add 104 and 22:\n \\[ 104 + 22 = 126 \\]\n\n3. Finally, add 126 and 49:\n \\[ 126 + 49 = 175 \\]\n\nSo, the solution is:\n\\boxed{94...
223
{"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...
123
{"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, 50, 56, 70, 28], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 87 \\\\times 50 + 56 \\\\times 70 + 28 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down 50 into 50 = 10 * 5 and 70 into 70 = 10 * 7:**\\n \\\\[\\n 87 \\\\times 50 + 56 \\\\times 70 + 28 = 87 \\\\times (10 \\\\times 5) + 56 \\\\times (10 \\\\times 7...
["{'generation': \"To solve the equation \\\\( 87 \\\\times 50 + 56 \\\\times 70 + 28 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down 50 into 50 = 10 * 5 and 70 into 70 = 10 * 7:**\\n \\\\[\\n 87 \\\\times 50 + 56 \\\\times 70 + 28 = 87 \\\\times (10 \\\\times 5) + 56 \\\\times (10 \\\\times 7)...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 87 \\times 50 + 56 \\times 70 + 28 \\), we can break it down into simpler steps:\n\n1. **Break down 50 into 50 = 10 * 5 and 70 into 70 = 10 * 7:**\n \\[\n 87 \\times 50 + 56 \\times 70 + 28 = 87 \\times (10 \\times 5) + 56 \\times (10 \\times 7) + 28\n \\]\n\n2. **Use the distributive ...
[{"budget_forced_chunks": ["To solve the equation \\( 87 \\times 50 + 56 \\times 70 + 28 \\), we can break it down into simpler steps:\n\n1. **Break down 50 into 50 = 10 * 5 and 70 into 70 = 10 * 7:**\n \\[\n 87 \\times 50 + 56 \\times 70 + 28 = 87 \\times (10 \\times 5) + 56 \\times (10 \\times 7) + 28\n \\]\n\n...
224
{"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...
205
{"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 [71, 65, 37, 4, 22], create an equation that equals 205. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\( 71 \\\\times 65 + 37 \\\\times 4 - 22 \\\\times 5 \\\\), we will follow the standard long multiplication method.\\n\\n1. **Multiply 71 by 4:**\\n \\\\[\\n 71 \\\\times 4 = 284\\n \\\\]\\n Write down 284.\\n\\n2. **Multiply 71 by 65:**\\n \\\\[\\n 71 \\\\times ...
["{'generation': \"To solve the equation \\\\( 71 \\\\times 65 + 37 \\\\times 4 - 22 \\\\times 5 \\\\), we will follow the standard long multiplication method.\\n\\n1. **Multiply 71 by 4:**\\n \\\\[\\n 71 \\\\times 4 = 284\\n \\\\]\\n Write down 284.\\n\\n2. **Multiply 71 by 65:**\\n \\\\[\\n 71 \\\\times 6...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 71 \\times 65 + 37 \\times 4 - 22 \\times 5 \\), we will follow the standard long multiplication method.\n\n1. **Multiply 71 by 4:**\n \\[\n 71 \\times 4 = 284\n \\]\n Write down 284.\n\n2. **Multiply 71 by 65:**\n \\[\n 71 \\times 65 = 4565\n \\]\n Write down 4565, but shift...
[{"budget_forced_chunks": ["To solve the equation \\( 71 \\times 65 + 37 \\times 4 - 22 \\times 5 \\), we will follow the standard long multiplication method.\n\n1. **Multiply 71 by 4:**\n \\[\n 71 \\times 4 = 284\n \\]\n Write down 284.\n\n2. **Multiply 71 by 65:**\n \\[\n 71 \\times 65 = 4565\n \\]\n ...
225
{"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 [84, 15, 27, 78, 54], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 84 \\\\times 15 \\\\times 27 \\\\times 78 \\\\times 54 = 149 \\\\), we can break it down into smaller, more manageable parts. However, let's first try to multiply all the numbers together directly:\\n\\n1. Multiply 84 by 15:\\n \\\\[\\n 84 \\\\times 15 = 84 \\\\times ...
["{'generation': \"To solve the equation \\\\( 84 \\\\times 15 \\\\times 27 \\\\times 78 \\\\times 54 = 149 \\\\), we can break it down into smaller, more manageable parts. However, let's first try to multiply all the numbers together directly:\\n\\n1. Multiply 84 by 15:\\n \\\\[\\n 84 \\\\times 15 = 84 \\\\times (...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 84 \\times 15 \\times 27 \\times 78 \\times 54 = 149 \\), we can break it down into smaller, more manageable parts. However, let's first try to multiply all the numbers together directly:\n\n1. Multiply 84 by 15:\n \\[\n 84 \\times 15 = 84 \\times (10 + 5) = (84 \\times 10) + (84 \\times...
[{"budget_forced_chunks": ["To solve the equation \\( 84 \\times 15 \\times 27 \\times 78 \\times 54 = 149 \\), we can break it down into smaller, more manageable parts. However, let's first try to multiply all the numbers together directly:\n\n1. Multiply 84 by 15:\n \\[\n 84 \\times 15 = 84 \\times (10 + 5) = (84...
226
{"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...
778
{"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, 35, 99, 72, 93], create an equation that equals 778. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation 8 * 35 + 99 - 72 + 93, we'll perform the operations from left to right, starting with the multiplication and addition, and then subtraction and multiplication.\\n\\nStep 1: Multiply 8 by 35.\\n8 * 35 = 280\\n\\nStep 2: Add 99 to the product from step 1.\\n280 + 99 = 379\\n\\nSt...
["{'generation': \"To solve the equation 8 * 35 + 99 - 72 + 93, we'll perform the operations from left to right, starting with the multiplication and addition, and then subtraction and multiplication.\\n\\nStep 1: Multiply 8 by 35.\\n8 * 35 = 280\\n\\nStep 2: Add 99 to the product from step 1.\\n280 + 99 = 379\\n\\nSte...
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93411f44e228b5004bdec50f32b6c646819eebd09ba3fa26511502b23781a617
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 8 * 35 + 99 - 72 + 93, we'll perform the operations from left to right, starting with the multiplication and addition, and then subtraction and multiplication.\n\nStep 1: Multiply 8 by 35.\n8 * 35 = 280\n\nStep 2: Add 99 to the product from step 1.\n280 + 99 = 379\n\nStep 3: Subtract 72 from the...
[{"budget_forced_chunks": ["To solve the equation 8 * 35 + 99 - 72 + 93, we'll perform the operations from left to right, starting with the multiplication and addition, and then subtraction and multiplication.\n\nStep 1: Multiply 8 by 35.\n8 * 35 = 280\n\nStep 2: Add 99 to the product from step 1.\n280 + 99 = 379\n\nSt...
227
{"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...
472
{"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, 16, 78, 72, 42], create an equation that equals 472. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the multiplication problem \\\\( 50 \\\\times 16 \\\\times 78 \\\\times 72 \\\\times 42 \\\\), we can break it down into smaller steps.\\n\\nFirst, let's multiply 50 by 16:\\n\\\\[ 50 \\\\times 16 = 800 \\\\]\\n\\nNext, we need to multiply the result by 78:\\n\\\\[ 800 \\\\times 78 = 62400 ...
["{'generation': \"To solve the multiplication problem \\\\( 50 \\\\times 16 \\\\times 78 \\\\times 72 \\\\times 42 \\\\), we can break it down into smaller steps.\\n\\nFirst, let's multiply 50 by 16:\\n\\\\[ 50 \\\\times 16 = 800 \\\\]\\n\\nNext, we need to multiply the result by 78:\\n\\\\[ 800 \\\\times 78 = 62400 \...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 50 \\times 16 \\times 78 \\times 72 \\times 42 \\), we can break it down into smaller steps.\n\nFirst, let's multiply 50 by 16:\n\\[ 50 \\times 16 = 800 \\]\n\nNext, we need to multiply the result by 78:\n\\[ 800 \\times 78 = 62400 \\]\n\nNow, we need to multiply the result by ...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 50 \\times 16 \\times 78 \\times 72 \\times 42 \\), we can break it down into smaller steps.\n\nFirst, let's multiply 50 by 16:\n\\[ 50 \\times 16 = 800 \\]\n\nNext, we need to multiply the result by 78:\n\\[ 800 \\times 78 = 62400 \\]\n\nNow, we need ...
228
{"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...
912
{"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 [63, 63, 87, 38, 63], create an equation that equals 912. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the problem of adding 63 + 63 + 87 + 38 + 63 = 912, follow these steps:\\n\\n1. First, add 63 and 63:\\n 63 + 63 = 126\\n\\n2. Then, add 126 and 87:\\n 126 + 87 = 213\\n\\n3. Next, add 213 and 38:\\n 213 + 38 = 251\\n\\n4. Finally, add 251 and 63:\\n 251 + 63 = 314\\n\\nTherefore, t...
["{'generation': \"To solve the problem of adding 63 + 63 + 87 + 38 + 63 = 912, follow these steps:\\n\\n1. First, add 63 and 63:\\n 63 + 63 = 126\\n\\n2. Then, add 126 and 87:\\n 126 + 87 = 213\\n\\n3. Next, add 213 and 38:\\n 213 + 38 = 251\\n\\n4. Finally, add 251 and 63:\\n 251 + 63 = 314\\n\\nTherefore, th...
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9284d61c8c2ba62b951d501629da26c029eb067c27241a0e4e18d98f702c752e
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 63 + 63 + 87 + 38 + 63 = 912, follow these steps:\n\n1. First, add 63 and 63:\n 63 + 63 = 126\n\n2. Then, add 126 and 87:\n 126 + 87 = 213\n\n3. Next, add 213 and 38:\n 213 + 38 = 251\n\n4. Finally, add 251 and 63:\n 251 + 63 = 314\n\nTherefore, the equation that equals 912 is 6...
[{"budget_forced_chunks": ["To solve the problem of adding 63 + 63 + 87 + 38 + 63 = 912, follow these steps:\n\n1. First, add 63 and 63:\n 63 + 63 = 126\n\n2. Then, add 126 and 87:\n 126 + 87 = 213\n\n3. Next, add 213 and 38:\n 213 + 38 = 251\n\n4. Finally, add 251 and 63:\n 251 + 63 = 314\n\nTherefore, the equ...
229
{"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...
296
{"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, 9, 47, 78, 86], create an equation that equals 296. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your ...
[["{'generation': \"To solve the addition problem 3 + 9 + 47 + 78 + 86, follow these steps:\\n\\n1. **Add the units digits**: 6 + 8 = 14\\n2. **Bring down the ten's digit**: 140\\n3. **Add the tens digits**: 4 + 7 = 11\\n4. **Bring down the tens digit**: 110\\n5. **Add the hundreds digits**: 3 + 9 = 12\\n6. **Bring dow...
["{'generation': \"To solve the addition problem 3 + 9 + 47 + 78 + 86, follow these steps:\\n\\n1. **Add the units digits**: 6 + 8 = 14\\n2. **Bring down the ten's digit**: 140\\n3. **Add the tens digits**: 4 + 7 = 11\\n4. **Bring down the tens digit**: 110\\n5. **Add the hundreds digits**: 3 + 9 = 12\\n6. **Bring down...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 3 + 9 + 47 + 78 + 86, follow these steps:\n\n1. **Add the units digits**: 6 + 8 = 14\n2. **Bring down the ten's digit**: 140\n3. **Add the tens digits**: 4 + 7 = 11\n4. **Bring down the tens digit**: 110\n5. **Add the hundreds digits**: 3 + 9 = 12\n6. **Bring down the hundreds digit**: 1...
[{"budget_forced_chunks": ["To solve the addition problem 3 + 9 + 47 + 78 + 86, follow these steps:\n\n1. **Add the units digits**: 6 + 8 = 14\n2. **Bring down the ten's digit**: 140\n3. **Add the tens digits**: 4 + 7 = 11\n4. **Bring down the tens digit**: 110\n5. **Add the hundreds digits**: 3 + 9 = 12\n6. **Bring do...
230
{"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...
650
{"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, 62, 7, 28, 28], create an equation that equals 650. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\( 84 \\\\times 62 \\\\) step by step, we can break it down using the standard multiplication method.\\n\\n1. **Multiply 62 by 4 (the units digit of 84):**\\n \\\\[\\n 62 \\\\times 4 = 248\\n \\\\]\\n Write down 248.\\n\\n2. **Multiply 62 by 8 (the tens digit of 84, ...
["{'generation': \"To solve the equation \\\\( 84 \\\\times 62 \\\\) step by step, we can break it down using the standard multiplication method.\\n\\n1. **Multiply 62 by 4 (the units digit of 84):**\\n \\\\[\\n 62 \\\\times 4 = 248\\n \\\\]\\n Write down 248.\\n\\n2. **Multiply 62 by 8 (the tens digit of 84, a...
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2099a9b5f777e242d1f9e19d27e232cc71e2fa7964fc988a319fce5671ca7f73
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 84 \\times 62 \\) step by step, we can break it down using the standard multiplication method.\n\n1. **Multiply 62 by 4 (the units digit of 84):**\n \\[\n 62 \\times 4 = 248\n \\]\n Write down 248.\n\n2. **Multiply 62 by 8 (the tens digit of 84, and remember to shift one place to the...
[{"budget_forced_chunks": ["To solve the equation \\( 84 \\times 62 \\) step by step, we can break it down using the standard multiplication method.\n\n1. **Multiply 62 by 4 (the units digit of 84):**\n \\[\n 62 \\times 4 = 248\n \\]\n Write down 248.\n\n2. **Multiply 62 by 8 (the tens digit of 84, and remember...
231
{"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...
642
{"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 [61, 73, 84, 34, 21], create an equation that equals 642. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': 'To solve the addition problem 61 + 73 + 84 + 34 + 21 = 642, we follow these steps:\\n\\n1. **Add the units digit of the first number to the units digit of the second number:**\\n - 1 + 4 = 5\\n\\n2. **Calculate the tens digit of the first number plus the units digit of the second number:**\\n - 6...
["{'generation': 'To solve the addition problem 61 + 73 + 84 + 34 + 21 = 642, we follow these steps:\\n\\n1. **Add the units digit of the first number to the units digit of the second number:**\\n - 1 + 4 = 5\\n\\n2. **Calculate the tens digit of the first number plus the units digit of the second number:**\\n - 6 ...
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68fcd1eb684859a314bbf7f7c99037cead480f5bb209ccd4725bd319423e832f
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 61 + 73 + 84 + 34 + 21 = 642, we follow these steps:\n\n1. **Add the units digit of the first number to the units digit of the second number:**\n - 1 + 4 = 5\n\n2. **Calculate the tens digit of the first number plus the units digit of the second number:**\n - 6 + 4 = 10. Now, add the...
[{"budget_forced_chunks": ["To solve the addition problem 61 + 73 + 84 + 34 + 21 = 642, we follow these steps:\n\n1. **Add the units digit of the first number to the units digit of the second number:**\n - 1 + 4 = 5\n\n2. **Calculate the tens digit of the first number plus the units digit of the second number:**\n ...
232
{"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...
127
{"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 [27, 69, 50, 4, 15], create an equation that equals 127. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': 'To solve the problem of adding up to 127 using the numbers [27, 69, 50, 4, 15], follow these steps:\\n\\n1. **Break down the multiplication**:\\n - First, consider 50 and 15 as a \"system\" where 50 + 15 = 65.\\n - Then, consider 27 and 69 as another \"system\" where 27 * 69 = 1833.\\n\\n2. **Com...
["{'generation': 'To solve the problem of adding up to 127 using the numbers [27, 69, 50, 4, 15], follow these steps:\\n\\n1. **Break down the multiplication**:\\n - First, consider 50 and 15 as a \"system\" where 50 + 15 = 65.\\n - Then, consider 27 and 69 as another \"system\" where 27 * 69 = 1833.\\n\\n2. **Comb...
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922c7954216ccfe7a61def609305ce1dc7c67e225f873f256d30d7a8ee4f404c
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 127 using the numbers [27, 69, 50, 4, 15], follow these steps:\n\n1. **Break down the multiplication**:\n - First, consider 50 and 15 as a \"system\" where 50 + 15 = 65.\n - Then, consider 27 and 69 as another \"system\" where 27 * 69 = 1833.\n\n2. **Combine the results**:\n ...
[{"budget_forced_chunks": ["To solve the problem of adding up to 127 using the numbers [27, 69, 50, 4, 15], follow these steps:\n\n1. **Break down the multiplication**:\n - First, consider 50 and 15 as a \"system\" where 50 + 15 = 65.\n - Then, consider 27 and 69 as another \"system\" where 27 * 69 = 1833.\n\n2. **...
233
{"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 [1, 74, 73, 38, 1], create an equation that equals 110. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your ...
[["{'generation': \"To solve the problem <answer>110</answer>, we need to use each of the numbers [1, 74, 73, 38, 1] exactly once in our calculation. The result of this multiplication should be 110.\\n\\nStep 1: Start by multiplying the number 10 (any number multiplied by 10 will simply have the 1 in the tens place mov...
["{'generation': \"To solve the problem <answer>110</answer>, we need to use each of the numbers [1, 74, 73, 38, 1] exactly once in our calculation. The result of this multiplication should be 110.\\n\\nStep 1: Start by multiplying the number 10 (any number multiplied by 10 will simply have the 1 in the tens place move...
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9b07487fd28631496f35a9409696891f5815dc2da98918a490a78896850313f3
9bdb2af6799204a299c603994b8e400e4b1fd625efdb74066cc869fee42c9df3
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem <answer>110</answer>, we need to use each of the numbers [1, 74, 73, 38, 1] exactly once in our calculation. The result of this multiplication should be 110.\n\nStep 1: Start by multiplying the number 10 (any number multiplied by 10 will simply have the 1 in the tens place moved to the front, and...
[{"budget_forced_chunks": ["To solve the problem <answer>110</answer>, we need to use each of the numbers [1, 74, 73, 38, 1] exactly once in our calculation. The result of this multiplication should be 110.\n\nStep 1: Start by multiplying the number 10 (any number multiplied by 10 will simply have the 1 in the tens pla...
234
{"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...
439
{"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, 11, 78, 74, 15], create an equation that equals 439. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the multiplication problem 34 * 11 * 78 * 74 * 15, we can break it down into smaller steps:\\n\\n1) First, multiply 34 by 15:\\n 34 * 15 = 495\\n\\n2) Then, multiply 34 by 74:\\n 34 * 74 = 2496\\n\\n3) Next, multiply 11 by 74:\\n 11 * 74 = 814\\n\\n4) Finally, multiply 11 by 34:\\n ...
["{'generation': \"To solve the multiplication problem 34 * 11 * 78 * 74 * 15, we can break it down into smaller steps:\\n\\n1) First, multiply 34 by 15:\\n 34 * 15 = 495\\n\\n2) Then, multiply 34 by 74:\\n 34 * 74 = 2496\\n\\n3) Next, multiply 11 by 74:\\n 11 * 74 = 814\\n\\n4) Finally, multiply 11 by 34:\\n 1...
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0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem 34 * 11 * 78 * 74 * 15, we can break it down into smaller steps:\n\n1) First, multiply 34 by 15:\n 34 * 15 = 495\n\n2) Then, multiply 34 by 74:\n 34 * 74 = 2496\n\n3) Next, multiply 11 by 74:\n 11 * 74 = 814\n\n4) Finally, multiply 11 by 34:\n 11 * 34 = 374\n\nNow, we add a...
[{"budget_forced_chunks": ["To solve the multiplication problem 34 * 11 * 78 * 74 * 15, we can break it down into smaller steps:\n\n1) First, multiply 34 by 15:\n 34 * 15 = 495\n\n2) Then, multiply 34 by 74:\n 34 * 74 = 2496\n\n3) Next, multiply 11 by 74:\n 11 * 74 = 814\n\n4) Finally, multiply 11 by 34:\n 11 *...
235
{"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...
504
{"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 [42, 18, 18, 38, 50], create an equation that equals 504. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the multiplication problem \\\\( 42 \\\\times 18 \\\\), we can break it down into simpler steps using place value and properties of multiplication. \\n\\nFirst, let's visualize and tackle 18:\\n\\n1. Think of 18 as \\\\( 10 + 8 \\\\).\\n2. Apply the distributive property of multiplication o...
["{'generation': \"To solve the multiplication problem \\\\( 42 \\\\times 18 \\\\), we can break it down into simpler steps using place value and properties of multiplication. \\n\\nFirst, let's visualize and tackle 18:\\n\\n1. Think of 18 as \\\\( 10 + 8 \\\\).\\n2. Apply the distributive property of multiplication ov...
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ba689abd93c9c6a7d08b5b5c04dd27f6d69755ebe9a87fb969e73dfc11660e38
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 42 \\times 18 \\), we can break it down into simpler steps using place value and properties of multiplication. \n\nFirst, let's visualize and tackle 18:\n\n1. Think of 18 as \\( 10 + 8 \\).\n2. Apply the distributive property of multiplication over addition: \n \\[\n 42 \\t...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 42 \\times 18 \\), we can break it down into simpler steps using place value and properties of multiplication. \n\nFirst, let's visualize and tackle 18:\n\n1. Think of 18 as \\( 10 + 8 \\).\n2. Apply the distributive property of multiplication over add...
236
{"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...
200
{"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, 66, 10, 26, 29], create an equation that equals 200. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\( 89 + 66 + 10 + 26 + 29 = 200 \\\\), we will add the numbers step by step.\\n\\n1. **Add 89 and 66:**\\n \\\\[\\n 89 + 66 = 155\\n \\\\]\\n\\n2. **Add 10 to the result:**\\n \\\\[\\n 155 + 10 = 165\\n \\\\]\\n\\n3. **Add 26 to the result:**\\n \\\\[\\n 165 ...
["{'generation': \"To solve the equation \\\\( 89 + 66 + 10 + 26 + 29 = 200 \\\\), we will add the numbers step by step.\\n\\n1. **Add 89 and 66:**\\n \\\\[\\n 89 + 66 = 155\\n \\\\]\\n\\n2. **Add 10 to the result:**\\n \\\\[\\n 155 + 10 = 165\\n \\\\]\\n\\n3. **Add 26 to the result:**\\n \\\\[\\n 165 +...
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9c321e2b1396d704d844e3710b2f44f710205d8a90c9065db2e1a78347fd56c4
27badc983df1780b60c2b3fa9d3a19a00e46aac798451f0febdca52920faaddf
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 89 + 66 + 10 + 26 + 29 = 200 \\), we will add the numbers step by step.\n\n1. **Add 89 and 66:**\n \\[\n 89 + 66 = 155\n \\]\n\n2. **Add 10 to the result:**\n \\[\n 155 + 10 = 165\n \\]\n\n3. **Add 26 to the result:**\n \\[\n 165 + 26 = 191\n \\]\n\n4. **Add 29 to the resul...
[{"budget_forced_chunks": ["To solve the equation \\( 89 + 66 + 10 + 26 + 29 = 200 \\), we will add the numbers step by step.\n\n1. **Add 89 and 66:**\n \\[\n 89 + 66 = 155\n \\]\n\n2. **Add 10 to the result:**\n \\[\n 155 + 10 = 165\n \\]\n\n3. **Add 26 to the result:**\n \\[\n 165 + 26 = 191\n \\]\n...
237
{"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 [53, 4, 46, 64, 55], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the problem of adding up the numbers [53, 4, 46, 64, 55] and getting a result of 104, we can order the numbers from highest to lowest and then add them together step by step.\\n\\n[55, 46, 53, 64, 1] = 104\\n\\nSo the final answer is: 104\\n\\nIs this answer correct? No But according to 1st...
["{'generation': \"To solve the problem of adding up the numbers [53, 4, 46, 64, 55] and getting a result of 104, we can order the numbers from highest to lowest and then add them together step by step.\\n\\n[55, 46, 53, 64, 1] = 104\\n\\nSo the final answer is: 104\\n\\nIs this answer correct? No But according to 1st ...
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976900ebd92d1fe2a415b0b9029e73f315df6bf3f7d3bda19144dc43d1a64a5a
5ef6fdf32513aa7cd11f72beccf132b9224d33f271471fff402742887a171edf
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up the numbers [53, 4, 46, 64, 55] and getting a result of 104, we can order the numbers from highest to lowest and then add them together step by step.\n\n[55, 46, 53, 64, 1] = 104\n\nSo the final answer is: 104\n\nIs this answer correct? No But according to 1st step calculation, it is...
[{"budget_forced_chunks": ["To solve the problem of adding up the numbers [53, 4, 46, 64, 55] and getting a result of 104, we can order the numbers from highest to lowest and then add them together step by step.\n\n[55, 46, 53, 64, 1] = 104\n\nSo the final answer is: 104\n\nIs this answer correct? No", " But according ...
238
{"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...
161
{"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, 77, 74, 89, 21], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show yo...
[["{'generation': \"To solve the equation 100 + 77 + 74 + 89 + 21 = 161, we can break it down into simpler steps:\\n\\nStep 1: First, add 100 and 21.\\n100 + 21 = 121\\n\\nStep 2: Then, add 77 and 89.\\n77 + 89 = 166\\n\\nStep 3: Finally, add the results from Step 1 and Step 2.\\n121 + 166 = 287\\n\\nSo, the solution t...
["{'generation': \"To solve the equation 100 + 77 + 74 + 89 + 21 = 161, we can break it down into simpler steps:\\n\\nStep 1: First, add 100 and 21.\\n100 + 21 = 121\\n\\nStep 2: Then, add 77 and 89.\\n77 + 89 = 166\\n\\nStep 3: Finally, add the results from Step 1 and Step 2.\\n121 + 166 = 287\\n\\nSo, the solution to...
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bb668ca95563216088b98a62557fa1e26802563f3919ac78ae30533bb9ed422c
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 100 + 77 + 74 + 89 + 21 = 161, we can break it down into simpler steps:\n\nStep 1: First, add 100 and 21.\n100 + 21 = 121\n\nStep 2: Then, add 77 and 89.\n77 + 89 = 166\n\nStep 3: Finally, add the results from Step 1 and Step 2.\n121 + 166 = 287\n\nSo, the solution to the equation 100 + 77 + 74 ...
[{"budget_forced_chunks": ["To solve the equation 100 + 77 + 74 + 89 + 21 = 161, we can break it down into simpler steps:\n\nStep 1: First, add 100 and 21.\n100 + 21 = 121\n\nStep 2: Then, add 77 and 89.\n77 + 89 = 166\n\nStep 3: Finally, add the results from Step 1 and Step 2.\n121 + 166 = 287\n\nSo, the solution to t...
239
{"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...
161
{"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 [71, 1, 85, 61, 57], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\( 71 \\\\times 1 + 85 \\\\times 61 + 57 \\\\times 1 \\\\), we will break it down into simpler steps.\\n\\nStep 1: Calculate \\\\( 71 \\\\times 1 \\\\)\\n\\\\( 71 \\\\times 1 = 71 \\\\)\\n\\nStep 2: Calculate \\\\( 85 \\\\times 61 \\\\)\\n\\\\( 85 \\\\times 61 = 85 \\\\times...
["{'generation': \"To solve the equation \\\\( 71 \\\\times 1 + 85 \\\\times 61 + 57 \\\\times 1 \\\\), we will break it down into simpler steps.\\n\\nStep 1: Calculate \\\\( 71 \\\\times 1 \\\\)\\n\\\\( 71 \\\\times 1 = 71 \\\\)\\n\\nStep 2: Calculate \\\\( 85 \\\\times 61 \\\\)\\n\\\\( 85 \\\\times 61 = 85 \\\\times ...
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34ba3824473c2a402258b6fd5a3a1719b9e452a6cf5b345f9fdef389f89095fe
bb668ca95563216088b98a62557fa1e26802563f3919ac78ae30533bb9ed422c
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 71 \\times 1 + 85 \\times 61 + 57 \\times 1 \\), we will break it down into simpler steps.\n\nStep 1: Calculate \\( 71 \\times 1 \\)\n\\( 71 \\times 1 = 71 \\)\n\nStep 2: Calculate \\( 85 \\times 61 \\)\n\\( 85 \\times 61 = 85 \\times (60 + 1) = 85 \\times 60 + 85 \\times 1 = 5100 + 85 = 518...
[{"budget_forced_chunks": ["To solve the equation \\( 71 \\times 1 + 85 \\times 61 + 57 \\times 1 \\), we will break it down into simpler steps.\n\nStep 1: Calculate \\( 71 \\times 1 \\)\n\\( 71 \\times 1 = 71 \\)\n\nStep 2: Calculate \\( 85 \\times 61 \\)\n\\( 85 \\times 61 = 85 \\times (60 + 1) = 85 \\times 60 + 85 \...
240
{"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...
886
{"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, 46, 99, 95, 38], create an equation that equals 886. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the equation \\\\(17 \\\\times 46\\\\), we can break it down into simpler steps:\\n\\nStep 1: Multiply 17 by 6 (the units digit of 46).\\n\\\\(17 \\\\times 6 = 102\\\\)\\n\\nStep 2: Multiply 17 by 40 (the tens digit of 46), and add a zero to the end of the result.\\n\\\\(17 \\\\times 40 = 6...
["{'generation': \"To solve the equation \\\\(17 \\\\times 46\\\\), we can break it down into simpler steps:\\n\\nStep 1: Multiply 17 by 6 (the units digit of 46).\\n\\\\(17 \\\\times 6 = 102\\\\)\\n\\nStep 2: Multiply 17 by 40 (the tens digit of 46), and add a zero to the end of the result.\\n\\\\(17 \\\\times 40 = 68...
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97fc83bdba3323784fabdcac53f5a42ffb6d23e553221441691ffac1745c620f
000f21ac06aceb9cdd0575e82d0d85fc39bed0a7a1d71970ba1641666a44f530
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(17 \\times 46\\), we can break it down into simpler steps:\n\nStep 1: Multiply 17 by 6 (the units digit of 46).\n\\(17 \\times 6 = 102\\)\n\nStep 2: Multiply 17 by 40 (the tens digit of 46), and add a zero to the end of the result.\n\\(17 \\times 40 = 680\\)\nSo, \\(17 \\times 40\\) is 6800.\...
[{"budget_forced_chunks": ["To solve the equation \\(17 \\times 46\\), we can break it down into simpler steps:\n\nStep 1: Multiply 17 by 6 (the units digit of 46).\n\\(17 \\times 6 = 102\\)\n\nStep 2: Multiply 17 by 40 (the tens digit of 46), and add a zero to the end of the result.\n\\(17 \\times 40 = 680\\)\nSo, \\(...
241
{"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...
584
{"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 [92, 1, 33, 70, 17], create an equation that equals 584. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the multiplication problem \\\\(92 \\\\times 133 - 70 + 17\\\\), we will break it down into simpler steps.\\n\\nFirst, let's calculate \\\\(92 \\\\times 133\\\\):\\n\\n\\\\[\\n92 \\\\times 133 = 92 \\\\times (130 + 3) = 92 \\\\times 130 + 92 \\\\times 3\\n\\\\]\\n\\n\\\\[\\n92 \\\\times 130...
["{'generation': \"To solve the multiplication problem \\\\(92 \\\\times 133 - 70 + 17\\\\), we will break it down into simpler steps.\\n\\nFirst, let's calculate \\\\(92 \\\\times 133\\\\):\\n\\n\\\\[\\n92 \\\\times 133 = 92 \\\\times (130 + 3) = 92 \\\\times 130 + 92 \\\\times 3\\n\\\\]\\n\\n\\\\[\\n92 \\\\times 130 ...
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8d55aa2d566f93c9ecebbbdfb44603bc30c3275d2da9a2210160169800c303ac
085bcb597bbd610a7f0f955301d0fe3734b92a7144e87f68e8b5beec1a09b55b
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\(92 \\times 133 - 70 + 17\\), we will break it down into simpler steps.\n\nFirst, let's calculate \\(92 \\times 133\\):\n\n\\[\n92 \\times 133 = 92 \\times (130 + 3) = 92 \\times 130 + 92 \\times 3\n\\]\n\n\\[\n92 \\times 130 = 11920\n\\]\n\\[\n92 \\times 3 = 276\n\\]\n\n\\[\n92 ...
[{"budget_forced_chunks": ["To solve the multiplication problem \\(92 \\times 133 - 70 + 17\\), we will break it down into simpler steps.\n\nFirst, let's calculate \\(92 \\times 133\\):\n\n\\[\n92 \\times 133 = 92 \\times (130 + 3) = 92 \\times 130 + 92 \\times 3\n\\]\n\n\\[\n92 \\times 130 = 11920\n\\]\n\\[\n92 \\time...
242
{"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 [8, 74, 91, 95, 98], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the problem of adding up to 154 using the numbers 8, 74, 91, 95, and 98, we can follow this process:\\n\\n1. First, we add 8 and 74:\\n \\\\[\\n 8 + 74 = 82\\n \\\\]\\n\\n2. Next, we add the result from Step 1 to 91:\\n \\\\[\\n 82 + 91 = 173\\n \\\\]\\n\\n3. Then, we add the re...
["{'generation': \"To solve the problem of adding up to 154 using the numbers 8, 74, 91, 95, and 98, we can follow this process:\\n\\n1. First, we add 8 and 74:\\n \\\\[\\n 8 + 74 = 82\\n \\\\]\\n\\n2. Next, we add the result from Step 1 to 91:\\n \\\\[\\n 82 + 91 = 173\\n \\\\]\\n\\n3. Then, we add the res...
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69a260f9a62ac1dfec3c62d205ee574932a96de1d974a4f588a840a9b3ecc184
1d0ebea552eb43d0b1e1561f6de8ae92e3de7f1abec52399244d1caed7dbdfa6
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 154 using the numbers 8, 74, 91, 95, and 98, we can follow this process:\n\n1. First, we add 8 and 74:\n \\[\n 8 + 74 = 82\n \\]\n\n2. Next, we add the result from Step 1 to 91:\n \\[\n 82 + 91 = 173\n \\]\n\n3. Then, we add the result from Step 2 to 95:\n \\[\n 17...
[{"budget_forced_chunks": ["To solve the problem of adding up to 154 using the numbers 8, 74, 91, 95, and 98, we can follow this process:\n\n1. First, we add 8 and 74:\n \\[\n 8 + 74 = 82\n \\]\n\n2. Next, we add the result from Step 1 to 91:\n \\[\n 82 + 91 = 173\n \\]\n\n3. Then, we add the result from St...
243
{"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 [22, 30, 80, 21, 31], create an equation that equals 323. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 22 + 30 + 80 + 21 + 31, we can follow these steps:\\n\\nStep 1: Add 22 and 30.\\n22 + 30 = 52\\n\\nStep 2: Add 52 and 80.\\n52 + 80 = 132\\n\\nStep 3: Add 132 and 21.\\n132 + 21 = 153\\n\\nStep 4: Add 153 and 31.\\n153 + 31 = 184\\n\\nTherefore, the solution to the addi...
["{'generation': \"To solve the addition problem 22 + 30 + 80 + 21 + 31, we can follow these steps:\\n\\nStep 1: Add 22 and 30.\\n22 + 30 = 52\\n\\nStep 2: Add 52 and 80.\\n52 + 80 = 132\\n\\nStep 3: Add 132 and 21.\\n132 + 21 = 153\\n\\nStep 4: Add 153 and 31.\\n153 + 31 = 184\\n\\nTherefore, the solution to the addit...
c95d1067b737ff152ce8f9b49224ec5ecebf002c7b76d87cf3a765261fa1416c
d6fffacf518a48e3205cadd658fc7f49f136a2a34698dd4604f0fdb1bf7e3527
3949ac1596ec77106a709a618bf5adcb19b77537ce8bcbdf54ff830169cdd084
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 22 + 30 + 80 + 21 + 31, we can follow these steps:\n\nStep 1: Add 22 and 30.\n22 + 30 = 52\n\nStep 2: Add 52 and 80.\n52 + 80 = 132\n\nStep 3: Add 132 and 21.\n132 + 21 = 153\n\nStep 4: Add 153 and 31.\n153 + 31 = 184\n\nTherefore, the solution to the addition problem is <answer>184</ans...
[{"budget_forced_chunks": ["To solve the addition problem 22 + 30 + 80 + 21 + 31, we can follow these steps:\n\nStep 1: Add 22 and 30.\n22 + 30 = 52\n\nStep 2: Add 52 and 80.\n52 + 80 = 132\n\nStep 3: Add 132 and 21.\n132 + 21 = 153\n\nStep 4: Add 153 and 31.\n153 + 31 = 184\n\nTherefore, the solution to the addition p...
244
{"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...
842
{"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, 33, 54, 84, 3], create an equation that equals 842. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the equation \\\\( 84 \\\\times 33 + 54 \\\\times 84 \\\\times 3 \\\\), we will follow the steps of distributive property:\\n\\n1. **Distribute 33 to 84:**\\n \\\\[\\n 33 \\\\times 84\\n \\\\]\\n\\n2. **Distribute 3 to 84:**\\n \\\\[\\n 3 \\\\times 84\\n \\\\]\\n\\n3. **Add the ...
["{'generation': \"To solve the equation \\\\( 84 \\\\times 33 + 54 \\\\times 84 \\\\times 3 \\\\), we will follow the steps of distributive property:\\n\\n1. **Distribute 33 to 84:**\\n \\\\[\\n 33 \\\\times 84\\n \\\\]\\n\\n2. **Distribute 3 to 84:**\\n \\\\[\\n 3 \\\\times 84\\n \\\\]\\n\\n3. **Add the r...
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ac93f3a0fee5afa2d9399d5d0f257dc92bbde89b1e48452e1bfac3c5c1dc99db
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samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 84 \\times 33 + 54 \\times 84 \\times 3 \\), we will follow the steps of distributive property:\n\n1. **Distribute 33 to 84:**\n \\[\n 33 \\times 84\n \\]\n\n2. **Distribute 3 to 84:**\n \\[\n 3 \\times 84\n \\]\n\n3. **Add the results from steps 1 and 2:**\n \\[\n (33 \\time...
[{"budget_forced_chunks": ["To solve the equation \\( 84 \\times 33 + 54 \\times 84 \\times 3 \\), we will follow the steps of distributive property:\n\n1. **Distribute 33 to 84:**\n \\[\n 33 \\times 84\n \\]\n\n2. **Distribute 3 to 84:**\n \\[\n 3 \\times 84\n \\]\n\n3. **Add the results from steps 1 and 2...
245
{"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 [50, 32, 2, 67, 2], create an equation that equals 106. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your ...
[["{'generation': \"To solve the equation \\\\( 50 \\\\times 32 \\\\times 2 \\\\times 67 \\\\times 2 \\\\), we can break it down into simpler multiplications.\\n\\nFirst, let's multiply 50 by 2:\\n\\\\[ 50 \\\\times 2 = 100 \\\\]\\n\\nNext, let's multiply 32 by 2:\\n\\\\[ 32 \\\\times 2 = 64 \\\\]\\n\\nNow, we have two...
["{'generation': \"To solve the equation \\\\( 50 \\\\times 32 \\\\times 2 \\\\times 67 \\\\times 2 \\\\), we can break it down into simpler multiplications.\\n\\nFirst, let's multiply 50 by 2:\\n\\\\[ 50 \\\\times 2 = 100 \\\\]\\n\\nNext, let's multiply 32 by 2:\\n\\\\[ 32 \\\\times 2 = 64 \\\\]\\n\\nNow, we have two ...
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482d9673cfee5de391f97fde4d1c84f9f8d6f2cf0784fcffb958b4032de7236c
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 50 \\times 32 \\times 2 \\times 67 \\times 2 \\), we can break it down into simpler multiplications.\n\nFirst, let's multiply 50 by 2:\n\\[ 50 \\times 2 = 100 \\]\n\nNext, let's multiply 32 by 2:\n\\[ 32 \\times 2 = 64 \\]\n\nNow, we have two results: 100 and 64.\n\nThen, we multiply 100 by ...
[{"budget_forced_chunks": ["To solve the equation \\( 50 \\times 32 \\times 2 \\times 67 \\times 2 \\), we can break it down into simpler multiplications.\n\nFirst, let's multiply 50 by 2:\n\\[ 50 \\times 2 = 100 \\]\n\nNext, let's multiply 32 by 2:\n\\[ 32 \\times 2 = 64 \\]\n\nNow, we have two results: 100 and 64.\n\...
246
{"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...
821
{"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, 40, 20, 7, 19], create an equation that equals 821. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your...
[["{'generation': \"To solve the addition problem \\\\( 84 + 40 + 20 + 7 + 19 \\\\), we will break it down into simpler steps:\\n\\n1. **Combine the two-digit numbers:**\\n - \\\\( 84 \\\\) and \\\\( 40 \\\\)\\n - \\\\( 84 + 40 = 124 \\\\)\\n\\n2. **Combine the three-digit numbers:**\\n - \\\\( 124 \\\\) and \\\\...
["{'generation': \"To solve the addition problem \\\\( 84 + 40 + 20 + 7 + 19 \\\\), we will break it down into simpler steps:\\n\\n1. **Combine the two-digit numbers:**\\n - \\\\( 84 \\\\) and \\\\( 40 \\\\)\\n - \\\\( 84 + 40 = 124 \\\\)\\n\\n2. **Combine the three-digit numbers:**\\n - \\\\( 124 \\\\) and \\\\(...
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af5422f824076084bed9b8a09086ac59f0ed8c74eea7b189d2809b198ba1f6ee
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\( 84 + 40 + 20 + 7 + 19 \\), we will break it down into simpler steps:\n\n1. **Combine the two-digit numbers:**\n - \\( 84 \\) and \\( 40 \\)\n - \\( 84 + 40 = 124 \\)\n\n2. **Combine the three-digit numbers:**\n - \\( 124 \\) and \\( 20 \\)\n - \\( 124 + 20 = 144 \\)\n\n3. **C...
[{"budget_forced_chunks": ["To solve the addition problem \\( 84 + 40 + 20 + 7 + 19 \\), we will break it down into simpler steps:\n\n1. **Combine the two-digit numbers:**\n - \\( 84 \\) and \\( 40 \\)\n - \\( 84 + 40 = 124 \\)\n\n2. **Combine the three-digit numbers:**\n - \\( 124 \\) and \\( 20 \\)\n - \\( 12...
247
{"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...
421
{"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, 70, 67, 50, 1], create an equation that equals 421. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your ...
[["{'generation': \"To solve the equation \\\\( 6 \\\\times 70 + 67 \\\\times 50 + 50 \\\\times 1 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down each term**:\\n - \\\\( 6 \\\\times 70 \\\\)\\n - \\\\( 67 \\\\times 50 \\\\)\\n - \\\\( 50 \\\\times 1 \\\\)\\n\\n2. **Simplify each term**:\\n ...
["{'generation': \"To solve the equation \\\\( 6 \\\\times 70 + 67 \\\\times 50 + 50 \\\\times 1 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down each term**:\\n - \\\\( 6 \\\\times 70 \\\\)\\n - \\\\( 67 \\\\times 50 \\\\)\\n - \\\\( 50 \\\\times 1 \\\\)\\n\\n2. **Simplify each term**:\\n -...
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19b0dffce45d4cb43671040c74661b793aa1aa98b4ccb1d1792d9e92f799b8a9
5092c37bcbc9f0fb33cb0f9cab7aa5ae94ed0f1219773c380b143b7c1224d01b
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 6 \\times 70 + 67 \\times 50 + 50 \\times 1 \\), we can break it down into simpler steps:\n\n1. **Break down each term**:\n - \\( 6 \\times 70 \\)\n - \\( 67 \\times 50 \\)\n - \\( 50 \\times 1 \\)\n\n2. **Simplify each term**:\n - \\( 6 \\times 70 = 420 \\)\n - \\( 67 \\times 50 =...
[{"budget_forced_chunks": ["To solve the equation \\( 6 \\times 70 + 67 \\times 50 + 50 \\times 1 \\), we can break it down into simpler steps:\n\n1. **Break down each term**:\n - \\( 6 \\times 70 \\)\n - \\( 67 \\times 50 \\)\n - \\( 50 \\times 1 \\)\n\n2. **Simplify each term**:\n - \\( 6 \\times 70 = 420 \\)...
248
{"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...
122
{"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 [40, 79, 56, 76, 63], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': 'To solve the problem of adding up to 122 using the numbers 40, 79, 56, 76, and 63, we can follow this approach:\\n\\n1. First, we set up our basic arithmetic operations:\\n\\n [40, 79, 56, 76, 63] + [.,.,.,.,.]\\n\\n2. We start by adding 40 and 63:\\n\\n 40 + 63 = 103\\n\\n3. Next, we add 79 and ...
["{'generation': 'To solve the problem of adding up to 122 using the numbers 40, 79, 56, 76, and 63, we can follow this approach:\\n\\n1. First, we set up our basic arithmetic operations:\\n\\n [40, 79, 56, 76, 63] + [.,.,.,.,.]\\n\\n2. We start by adding 40 and 63:\\n\\n 40 + 63 = 103\\n\\n3. Next, we add 79 and 5...
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b4e09006cd04a6da5b64d8606c1e89387d90db0e93c4354f16ae78c1ee885e2d
1be00341082e25c4e251ca6713e767f7131a2823b0052caf9c9b006ec512f6cb
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 122 using the numbers 40, 79, 56, 76, and 63, we can follow this approach:\n\n1. First, we set up our basic arithmetic operations:\n\n [40, 79, 56, 76, 63] + [.,.,.,.,.]\n\n2. We start by adding 40 and 63:\n\n 40 + 63 = 103\n\n3. Next, we add 79 and 56:\n\n 79 + 56 = 135\n\n...
[{"budget_forced_chunks": ["To solve the problem of adding up to 122 using the numbers 40, 79, 56, 76, and 63, we can follow this approach:\n\n1. First, we set up our basic arithmetic operations:\n\n [40, 79, 56, 76, 63] + [.,.,.,.,.]\n\n2. We start by adding 40 and 63:\n\n 40 + 63 = 103\n\n3. Next, we add 79 and 5...
249
{"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 [37, 93, 12, 24, 94], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show you...
[["{'generation': \"To solve the addition problem 37 + 93 + 12 + 24 + 94 = 152, we can break it down into simpler steps:\\n\\n1. First, add 37 and 93:\\n 37 + 93 = 130\\n\\n2. Then, add 12:\\n 130 + 12 = 142\\n\\n3. Finally, add 24 and 94:\\n 142 + 24 = 166\\n 166 + 94 = 260\\n\\nSo, the solution to the additio...
["{'generation': \"To solve the addition problem 37 + 93 + 12 + 24 + 94 = 152, we can break it down into simpler steps:\\n\\n1. First, add 37 and 93:\\n 37 + 93 = 130\\n\\n2. Then, add 12:\\n 130 + 12 = 142\\n\\n3. Finally, add 24 and 94:\\n 142 + 24 = 166\\n 166 + 94 = 260\\n\\nSo, the solution to the addition...
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b05ae7f4a2e98ffe5f5eca3e85c57d20b6e55fdca68c6940c0817457ac9fe302
043066daf2109523a7490d4bfad4766da5719950a2b5f96d192fc0537e84f32a
0
[false]
samples_countdown5arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 37 + 93 + 12 + 24 + 94 = 152, we can break it down into simpler steps:\n\n1. First, add 37 and 93:\n 37 + 93 = 130\n\n2. Then, add 12:\n 130 + 12 = 142\n\n3. Finally, add 24 and 94:\n 142 + 24 = 166\n 166 + 94 = 260\n\nSo, the solution to the addition problem is 152, which corres...
[{"budget_forced_chunks": ["To solve the addition problem 37 + 93 + 12 + 24 + 94 = 152, we can break it down into simpler steps:\n\n1. First, add 37 and 93:\n 37 + 93 = 130\n\n2. Then, add 12:\n 130 + 12 = 142\n\n3. Finally, add 24 and 94:\n 142 + 24 = 166\n 166 + 94 = 260\n\nSo, the solution to the addition pr...