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{"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that...
13
{"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha...
[["{'generation': 'To solve the equation 15 * 19 - 9 * 2, we first multiply 15 by 19, which gives us 15 * 19 = 285. Then, we multiply 9 * 2, which gives us 9 * 2 = 18. Now, we subtract the second product from the first, so 285 - 18 = 267. Therefore, the solution to the equation 15 * 19 - 9 * 2 is 267. But according to ...
["{'generation': 'To solve the equation 15 * 19 - 9 * 2, we first multiply 15 by 19, which gives us 15 * 19 = 285. Then, we multiply 9 * 2, which gives us 9 * 2 = 18. Now, we subtract the second product from the first, so 285 - 18 = 267. Therefore, the solution to the equation 15 * 19 - 9 * 2 is 267. But according to 1...
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samples_countdown_2025-06-07T04-01-42.050316.jsonl
["To solve the equation 15 * 19 - 9 * 2, we first multiply 15 by 19, which gives us 15 * 19 = 285. Then, we multiply 9 * 2, which gives us 9 * 2 = 18. Now, we subtract the second product from the first, so 285 - 18 = 267. Therefore, the solution to the equation 15 * 19 - 9 * 2 is 267. But according to 15 * 19 = 285, 9 ...
[{"budget_forced_chunks": ["To solve the equation 15 * 19 - 9 * 2, we first multiply 15 by 19, which gives us 15 * 19 = 285. Then, we multiply 9 * 2, which gives us 9 * 2 = 18. Now, we subtract the second product from the first, so 285 - 18 = 267. Therefore, the solution to the equation 15 * 19 - 9 * 2 is 267.", " But ...
null
1
{"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that...
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{"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha...
[["{'generation': \"To create an equation that equals 10 using the numbers [20, 9, 2, 24], we can break it down as follows:\\n\\n1. First, let's multiply 20 by 24, the two numbers with the same digit. \\n 20 * 24 = 20 * 20 + 20 * 4 = 400 + 80 = 480.\\n\\n2. Next, we multiply 9 by 2, one of the numbers with a differen...
["{'generation': \"To create an equation that equals 10 using the numbers [20, 9, 2, 24], we can break it down as follows:\\n\\n1. First, let's multiply 20 by 24, the two numbers with the same digit. \\n 20 * 24 = 20 * 20 + 20 * 4 = 400 + 80 = 480.\\n\\n2. Next, we multiply 9 by 2, one of the numbers with a different...
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samples_countdown_2025-06-07T04-01-42.050316.jsonl
["To create an equation that equals 10 using the numbers [20, 9, 2, 24], we can break it down as follows:\n\n1. First, let's multiply 20 by 24, the two numbers with the same digit. \n 20 * 24 = 20 * 20 + 20 * 4 = 400 + 80 = 480.\n\n2. Next, we multiply 9 by 2, one of the numbers with a different digit.\n 9 * 2 = 18...
[{"budget_forced_chunks": ["To create an equation that equals 10 using the numbers [20, 9, 2, 24], we can break it down as follows:\n\n1. First, let's multiply 20 by 24, the two numbers with the same digit. \n 20 * 24 = 20 * 20 + 20 * 4 = 400 + 80 = 480.\n\n2. Next, we multiply 9 by 2, one of the numbers with a diffe...
null
2
{"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that...
24
{"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha...
[["{'generation': 'To solve the multiplication problem (13 * 3) + (18 * 10), we should first multiply 13 by 3, which equals 39. Then we multiply 18 by 10, which equals 180. Now we add the two results together, 39 + 180 = 219. So, the equation (13 * 3) + (18 * 10) = 219. But according to 13 * 3 = 39 and 18 * 10 = 180, t...
["{'generation': 'To solve the multiplication problem (13 * 3) + (18 * 10), we should first multiply 13 by 3, which equals 39. Then we multiply 18 by 10, which equals 180. Now we add the two results together, 39 + 180 = 219. So, the equation (13 * 3) + (18 * 10) = 219. But according to 13 * 3 = 39 and 18 * 10 = 180, th...
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samples_countdown_2025-06-07T04-01-42.050316.jsonl
["To solve the multiplication problem (13 * 3) + (18 * 10), we should first multiply 13 by 3, which equals 39. Then we multiply 18 by 10, which equals 180. Now we add the two results together, 39 + 180 = 219. So, the equation (13 * 3) + (18 * 10) = 219. But according to 13 * 3 = 39 and 18 * 10 = 180, the equation 39 + ...
[{"budget_forced_chunks": ["To solve the multiplication problem (13 * 3) + (18 * 10), we should first multiply 13 by 3, which equals 39. Then we multiply 18 by 10, which equals 180. Now we add the two results together, 39 + 180 = 219. So, the equation (13 * 3) + (18 * 10) = 219.", " But according to 13 * 3 = 39 and 18 ...
null
3
{"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that...
21
{"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha...
[["{'generation': \"To solve the multiplication problem (1 + 2) * 3 = 3 * 3 = 9. So, the answer is 21. Wait! I can double check this answer. 23 * 3 = 69. 23 * 30 = 690. 23 * 300 = 6900. So, 21 = 23 * 300 / 10 = 6900 / 10 = 690. I made a mistake. The correct calculation is (1 + 2) * 3 = 3 * 3 = 9. But if we add the rema...
["{'generation': \"To solve the multiplication problem (1 + 2) * 3 = 3 * 3 = 9. So, the answer is 21. Wait! I can double check this answer. 23 * 3 = 69. 23 * 30 = 690. 23 * 300 = 6900. So, 21 = 23 * 300 / 10 = 6900 / 10 = 690. I made a mistake. The correct calculation is (1 + 2) * 3 = 3 * 3 = 9. But if we add the remai...
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samples_countdown_2025-06-07T04-01-42.050316.jsonl
["To solve the multiplication problem (1 + 2) * 3 = 3 * 3 = 9. So, the answer is 21. Wait! I can double check this answer. 23 * 3 = 69. 23 * 30 = 690. 23 * 300 = 6900. So, 21 = 23 * 300 / 10 = 6900 / 10 = 690. I made a mistake. The correct calculation is (1 + 2) * 3 = 3 * 3 = 9. But if we add the remaining 23 * 3 = 69....
[{"budget_forced_chunks": ["To solve the multiplication problem (1 + 2) * 3 = 3 * 3 = 9. So, the answer is 21.", " Wait! I can double check this answer. 23 * 3 = 69. 23 * 30 = 690. 23 * 300 = 6900. So, 21 = 23 * 300 / 10 = 6900 / 10 = 690. I made a mistake. The correct calculation is (1 + 2) * 3 = 3 * 3 = 9. But if we ...
null
4
{"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that...
17
{"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha...
[["{'generation': \"To solve the equation 3 * 8 + 4 * 13 - 17, we can use the distributive property of multiplication over addition. First, multiply 3 * 8 = 24. Then, multiply 4 * 13 = 52. Now, add 24 + 52 = 76. Finally, subtract 17 from 76, which gives us 76 - 17 = 59. So, the solution to the equation 3 * 8 + 4 * 13 -...
["{'generation': \"To solve the equation 3 * 8 + 4 * 13 - 17, we can use the distributive property of multiplication over addition. First, multiply 3 * 8 = 24. Then, multiply 4 * 13 = 52. Now, add 24 + 52 = 76. Finally, subtract 17 from 76, which gives us 76 - 17 = 59. So, the solution to the equation 3 * 8 + 4 * 13 - ...
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samples_countdown_2025-06-07T04-01-42.050316.jsonl
["To solve the equation 3 * 8 + 4 * 13 - 17, we can use the distributive property of multiplication over addition. First, multiply 3 * 8 = 24. Then, multiply 4 * 13 = 52. Now, add 24 + 52 = 76. Finally, subtract 17 from 76, which gives us 76 - 17 = 59. So, the solution to the equation 3 * 8 + 4 * 13 - 17 = 59. But acco...
[{"budget_forced_chunks": ["To solve the equation 3 * 8 + 4 * 13 - 17, we can use the distributive property of multiplication over addition. First, multiply 3 * 8 = 24. Then, multiply 4 * 13 = 52. Now, add 24 + 52 = 76. Finally, subtract 17 from 76, which gives us 76 - 17 = 59. So, the solution to the equation 3 * 8 + ...
null
5
{"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that...
18
{"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha...
[["{'generation': 'To solve the multiplication problem (12 * 6), we can use the standard multiplication method. 12 * 6 = 72. So, the final answer is 72. Wait, how? 12 * 6 = 12 * 5 + 12 * 1 = 60 + 12 = 72. So, the equation (1 + 2) * 6 = 6 * 6 = 36 + 36 = 72. Therefore, the solution to the multiplication problem 12 * 6 =...
["{'generation': 'To solve the multiplication problem (12 * 6), we can use the standard multiplication method. 12 * 6 = 72. So, the final answer is 72. Wait, how? 12 * 6 = 12 * 5 + 12 * 1 = 60 + 12 = 72. So, the equation (1 + 2) * 6 = 6 * 6 = 36 + 36 = 72. Therefore, the solution to the multiplication problem 12 * 6 = ...
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samples_countdown_2025-06-07T04-01-42.050316.jsonl
["To solve the multiplication problem (12 * 6), we can use the standard multiplication method. 12 * 6 = 72. So, the final answer is 72. Wait, how? 12 * 6 = 12 * 5 + 12 * 1 = 60 + 12 = 72. So, the equation (1 + 2) * 6 = 6 * 6 = 36 + 36 = 72. Therefore, the solution to the multiplication problem 12 * 6 = 72. Wait, how? 1...
[{"budget_forced_chunks": ["To solve the multiplication problem (12 * 6), we can use the standard multiplication method. 12 * 6 = 72. So, the final answer is 72.", " Wait, how? 12 * 6 = 12 * 5 + 12 * 1 = 60 + 12 = 72. So, the equation (1 + 2) * 6 = 6 * 6 = 36 + 36 = 72. Therefore, the solution to the multiplication pro...
null
6
{"query": [{"role": "system", "content": "Solve the problem step by step. Write your thoughts in <think> </think> tags.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <final_answer> </final_answer> tags.\nFor the final answer, make sure that...
21
{"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\n[{'role': 'system', 'content': 'Solve the problem step by step. Write your thoughts in <think> </think> tags.\\nThe answer is a series of arithmetic operations (+, -, *, /) tha...
[["{'generation': 'To solve the problem \\\\( 6 + 15 - 13 \\\\), we can use the standard algorithm for multiplication. \\n\\n1. Multiply 6 by 15, which is \\\\( 6 * 15 = 90 \\\\).\\n2. Multiply 6 by 13, which is \\\\( 6 * 13 = 78 \\\\).\\n3. Add the two results together: \\\\( 90 + 78 = 168 \\\\).\\n\\nSo, the solution...
["{'generation': 'To solve the problem \\\\( 6 + 15 - 13 \\\\), we can use the standard algorithm for multiplication. \\n\\n1. Multiply 6 by 15, which is \\\\( 6 * 15 = 90 \\\\).\\n2. Multiply 6 by 13, which is \\\\( 6 * 13 = 78 \\\\).\\n3. Add the two results together: \\\\( 90 + 78 = 168 \\\\).\\n\\nSo, the solution ...
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samples_countdown_2025-06-07T04-01-42.050316.jsonl
["To solve the problem \\( 6 + 15 - 13 \\), we can use the standard algorithm for multiplication. \n\n1. Multiply 6 by 15, which is \\( 6 * 15 = 90 \\).\n2. Multiply 6 by 13, which is \\( 6 * 13 = 78 \\).\n3. Add the two results together: \\( 90 + 78 = 168 \\).\n\nSo, the solution to the equation \\( 6 + 15 - 13 \\) is...
[{"budget_forced_chunks": ["To solve the problem \\( 6 + 15 - 13 \\), we can use the standard algorithm for multiplication. \n\n1. Multiply 6 by 15, which is \\( 6 * 15 = 90 \\).\n2. Multiply 6 by 13, which is \\( 6 * 13 = 78 \\).\n3. Add the two results together: \\( 90 + 78 = 168 \\).\n\nSo, the solution to the equat...
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"{\"gen_args_0\": {\"arg_0\": \"<|im_start|>system\\nYou are Qwen, created by Alibaba Cloud. You are(...TRUNCATED)
"[[\"{'generation': \\\"To solve the addition problem \\\\\\\\( 2 + 8 = 10 \\\\\\\\). \\\\nThen, to (...TRUNCATED)
"[\"{'generation': \\\"To solve the addition problem \\\\\\\\( 2 + 8 = 10 \\\\\\\\). \\\\nThen, to s(...TRUNCATED)
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samples_countdown_2025-06-07T04-01-42.050316.jsonl
"[\"To solve the addition problem \\\\( 2 + 8 = 10 \\\\). \\nThen, to solve the multiplication probl(...TRUNCATED)
"[{\"budget_forced_chunks\": [\"To solve the addition problem \\\\( 2 + 8 = 10 \\\\). \\nThen, to so(...TRUNCATED)
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"{\"gen_args_0\": {\"arg_0\": \"<|im_start|>system\\nYou are Qwen, created by Alibaba Cloud. You are(...TRUNCATED)
"[[\"{'generation': 'To solve the problem, we can use the standard multiplication method. Multiply t(...TRUNCATED)
"[\"{'generation': 'To solve the problem, we can use the standard multiplication method. Multiply th(...TRUNCATED)
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samples_countdown_2025-06-07T04-01-42.050316.jsonl
"[\"To solve the problem, we can use the standard multiplication method. Multiply the two numbers, 2(...TRUNCATED)
"[{\"budget_forced_chunks\": [\"To solve the problem, we can use the standard multiplication method.(...TRUNCATED)
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"{\"query\": [{\"role\": \"system\", \"content\": \"Solve the problem step by step. Write your thoug(...TRUNCATED)
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"[[\"{'generation': \\\"To solve the problem \\\\\\\\( 6 \\\\\\\\times 22 \\\\\\\\), we can use the (...TRUNCATED)
"[\"{'generation': \\\"To solve the problem \\\\\\\\( 6 \\\\\\\\times 22 \\\\\\\\), we can use the s(...TRUNCATED)
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samples_countdown_2025-06-07T04-01-42.050316.jsonl
"[\"To solve the problem \\\\( 6 \\\\times 22 \\\\), we can use the standard multiplication algorith(...TRUNCATED)
"[{\"budget_forced_chunks\": [\"To solve the problem \\\\( 6 \\\\times 22 \\\\), we can use the stan(...TRUNCATED)
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