doc_id int64 | doc string | target string | arguments string | resps string | filtered_resps string | doc_hash string | prompt_hash string | target_hash string | exact_match int64 | extracted_answers string | source_file string | generation string | info string | evaluation_api_cost string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | {"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': \"<think>First, I need to find a way to combine the given numbers [15, 19, 9] using the operations (+, -, *, /) to reach the target number 13. I should only use each number once.</think>\\n<final_answer>\\\\nStep 1: 19 - 9 = 10\\\\nStep 2: 10 + 15 = 25\\\\n</final_answer> Hold on, let me verify this a... | ["{'generation': \"<think>First, I need to find a way to combine the given numbers [15, 19, 9] using the operations (+, -, *, /) to reach the target number 13. I should only use each number once.</think>\\n<final_answer>\\\\nStep 1: 19 - 9 = 10\\\\nStep 2: 10 + 15 = 25\\\\n</final_answer> Hold on, let me verify this an... | 1fe4a3a3bdceb99acba3870b8820fb7d71d2b128097a35de13101519c94b2714 | 6adf7f5ba7f8982f91ce5cd729a078032176cbdfc8ebc8d4eaebb7f44a3a1fb4 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to find a way to combine the given numbers [15, 19, 9] using the operations (+, -, *, /) to reach the target number 13. I should only use each number once.</think>\n<final_answer>\\nStep 1: 19 - 9 = 10\\nStep 2: 10 + 15 = 25\\n</final_answer> Hold on, let me verify this answer. 15 + 19 = 34, whic... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers [15, 19, 9] using the operations (+, -, *, /) to reach the target number 13. I should only use each number once.</think>\n<final_answer>\\nStep 1: 19 - 9 = 10\\nStep 2: 10 + 15 = 25\\n</final_answer>", " Hold on, let me verify t... | 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... | 10 | {"gen_args_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': \"<think>First, I need to think of a way to use the numbers 20, 9, 2, and 24 to reach the target number 10. One way is to start with 24 and subtract 14, which can be achieved by subtracting 9 and adding 2 in the equation. This will leave me with the number 10.</think>\\n<final_answer>\\nStep 1: 24 - 9... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 20, 9, 2, and 24 to reach the target number 10. One way is to start with 24 and subtract 14, which can be achieved by subtracting 9 and adding 2 in the equation. This will leave me with the number 10.</think>\\n<final_answer>\\nStep 1: 24 - 9 ... | 4e7925e9464d9cd3f15b66d7f0d396c2d208e935db23218e8e12a143a69fdcf5 | bd97db98bf338537ff6865ad3edb32a5afd84e1c203f33f3a520ad9350cff93a | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 20, 9, 2, and 24 to reach the target number 10. One way is to start with 24 and subtract 14, which can be achieved by subtracting 9 and adding 2 in the equation. This will leave me with the number 10.</think>\n<final_answer>\nStep 1: 24 - 9 = 15\nStep 2: 15 + ... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 20, 9, 2, and 24 to reach the target number 10. One way is to start with 24 and subtract 14, which can be achieved by subtracting 9 and adding 2 in the equation. This will leave me with the number 10.</think>\n<final_answer>\nStep 1: ... | 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': \"<think>First, I can add 3 and 18 to get 21. Then, I can add 10 to 21 to get 31. Finally, I can subtract 1 from 31 to get 30. So the equation is: (3 + 18) * 10 - 1 = 30.</think> \\n<answer>(3 + 18) * 10 - 1 = 30</answer>\\n\\nBut I need to verify this. Let me break it down step by step:\\n\\n1. Add ... | ["{'generation': \"<think>First, I can add 3 and 18 to get 21. Then, I can add 10 to 21 to get 31. Finally, I can subtract 1 from 31 to get 30. So the equation is: (3 + 18) * 10 - 1 = 30.</think> \\n<answer>(3 + 18) * 10 - 1 = 30</answer>\\n\\nBut I need to verify this. Let me break it down step by step:\\n\\n1. Add 3... | 21d37d7882ca656e9c61892eb0e92eb17e6ccb0b44acbf990becc8d10939c8ba | 01fe40f4315157fd51d595d12678270a8d4a97c88098425b3b2c89768f826ed6 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 3 and 18 to get 21. Then, I can add 10 to 21 to get 31. Finally, I can subtract 1 from 31 to get 30. So the equation is: (3 + 18) * 10 - 1 = 30.</think> \n<answer>(3 + 18) * 10 - 1 = 30</answer>\n\nBut I need to verify this. Let me break it down step by step:\n\n1. Add 3 and 18 to get 21. Thi... | [{"budget_forced_chunks": ["<think>First, I can add 3 and 18 to get 21. Then, I can add 10 to 21 to get 31. Finally, I can subtract 1 from 31 to get 30. So the equation is: (3 + 18) * 10 - 1 = 30.</think> \n<answer>(3 + 18) * 10 - 1 = 30</answer>\n\nBut I need to verify this. Let me break it down step by step:\n\n1. A... | 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': \"<think>First, I need to think of a way to use the numbers 23, 3, 2, and 22 to reach the target number 21. One approach could be to try different combinations of the numbers and operations, and see what works. Another approach could be to think of the problem in a different way, and come up with a cr... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 23, 3, 2, and 22 to reach the target number 21. One approach could be to try different combinations of the numbers and operations, and see what works. Another approach could be to think of the problem in a different way, and come up with a cre... | 95ef82ecb05d93a4ee380d4641abaeadd43e6bc9d99c871ce170758b6f305b44 | b74d9dce0967059bc7deb16d7c3ce9ddb7cfb27d70d2987dea642c679674d513 | 6f4b6612125fb3a0daecd2799dfd6c9c299424fd920f9b308110a2c1fbd8f443 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 23, 3, 2, and 22 to reach the target number 21. One approach could be to try different combinations of the numbers and operations, and see what works. Another approach could be to think of the problem in a different way, and come up with a creative solution th... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 23, 3, 2, and 22 to reach the target number 21. One approach could be to try different combinations of the numbers and operations, and see what works. Another approach could be to think of the problem in a different way, and come up w... | 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': \"<think>First, I can add 3 and 8 to get 11. Then, I can add 4 to 11 to get 15. Finally, I can subtract 13 from 15 to get the result of 2.</think> \\n<final_answer>\\nStep 1: 3 + 8 = 11\\nStep 2: 11 + 4 = 15\\nStep 3: 15 - 13 = 2\\n</final_answer>\\n\\nThe answer is: 2.\\n\\nWait, this result is inco... | ["{'generation': \"<think>First, I can add 3 and 8 to get 11. Then, I can add 4 to 11 to get 15. Finally, I can subtract 13 from 15 to get the result of 2.</think> \\n<final_answer>\\nStep 1: 3 + 8 = 11\\nStep 2: 11 + 4 = 15\\nStep 3: 15 - 13 = 2\\n</final_answer>\\n\\nThe answer is: 2.\\n\\nWait, this result is incor... | 37e0958fcc9b1045189fb65b03cc9e071033593787e2f5171ceea9f86e8ebcf4 | ec571e8688c75a5736ce86b7195b61373aaf0be543ff8182bc2cf3a6429e9eab | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 3 and 8 to get 11. Then, I can add 4 to 11 to get 15. Finally, I can subtract 13 from 15 to get the result of 2.</think> \n<final_answer>\nStep 1: 3 + 8 = 11\nStep 2: 11 + 4 = 15\nStep 3: 15 - 13 = 2\n</final_answer>\n\nThe answer is: 2.\n\nWait, this result is incorrect. Let me try again. I'... | [{"budget_forced_chunks": ["<think>First, I can add 3 and 8 to get 11. Then, I can add 4 to 11 to get 15. Finally, I can subtract 13 from 15 to get the result of 2.</think> \n<final_answer>\nStep 1: 3 + 8 = 11\nStep 2: 11 + 4 = 15\nStep 3: 15 - 13 = 2\n</final_answer>\n\nThe answer is: 2.\n\nWait, this result is incor... | 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': \"<think>First, I can add 6 and 12 to get 18. However, I need to use each number only once. That means I should multiply 6 by 2 to get the last digit of 18. Here's my thought process:</think>\\n<final_answer>\\nStep 1: Multiply 6 by 2 (using 12 only once): 6 * 2 = 12\\nStep 2: Use the remaining number... | ["{'generation': \"<think>First, I can add 6 and 12 to get 18. However, I need to use each number only once. That means I should multiply 6 by 2 to get the last digit of 18. Here's my thought process:</think>\\n<final_answer>\\nStep 1: Multiply 6 by 2 (using 12 only once): 6 * 2 = 12\\nStep 2: Use the remaining number ... | a4b2daca5c54b55b15980110f282e22f14fac0971c9652711d3a679e8bd89a3d | 7cfb8ba4d40ba72deb7d7f9cb5b33545b9f643be9e6bb394acaf180179e28cd4 | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 6 and 12 to get 18. However, I need to use each number only once. That means I should multiply 6 by 2 to get the last digit of 18. Here's my thought process:</think>\n<final_answer>\nStep 1: Multiply 6 by 2 (using 12 only once): 6 * 2 = 12\nStep 2: Use the remaining number 12 to add the first ... | [{"budget_forced_chunks": ["<think>First, I can add 6 and 12 to get 18. However, I need to use each number only once. That means I should multiply 6 by 2 to get the last digit of 18. Here's my thought process:</think>\n<final_answer>\nStep 1: Multiply 6 by 2 (using 12 only once): 6 * 2 = 12\nStep 2: Use the remaining n... | 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': \"<think>First, I can add 9 and 13 to get 22. Then, I can subtract 6 from 22 to get the final result of 16. However, the order of operations matters in arithmetic problems, and there are multiple ways to arrive at the correct answer using the given operations. Here are a few valid solutions:</think>\\... | ["{'generation': \"<think>First, I can add 9 and 13 to get 22. Then, I can subtract 6 from 22 to get the final result of 16. However, the order of operations matters in arithmetic problems, and there are multiple ways to arrive at the correct answer using the given operations. Here are a few valid solutions:</think>\\\... | a7f237e6a8b37389748df0baa5ea27734734e3277f163e579d92165e4afed893 | ab00774c40567d2e767072fc5936db116736f40a30593069488d7cfe010b27b9 | 6f4b6612125fb3a0daecd2799dfd6c9c299424fd920f9b308110a2c1fbd8f443 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 9 and 13 to get 22. Then, I can subtract 6 from 22 to get the final result of 16. However, the order of operations matters in arithmetic problems, and there are multiple ways to arrive at the correct answer using the given operations. Here are a few valid solutions:</think>\\n<answer>(6 + 15) ... | [{"budget_forced_chunks": ["<think>First, I can add 9 and 13 to get 22. Then, I can subtract 6 from 22 to get the final result of 16. However, the order of operations matters in arithmetic problems, and there are multiple ways to arrive at the correct answer using the given operations. Here are a few valid solutions:</... | null |
7 | {"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': \"<think>First, I can add 2 and 8 to get 10. Then, I can add 11 to 10 to get 21. Now I have 2, 8, and 2 available again. I can multiply 2 and 2 to get 4, and then add 8 to 4 to get 12. Finally, I can subtract 12 from 21 to get the target number 17.</think> \\n<final_answer>\\nStep 1: 2 + 8 = 10\\nSte... | ["{'generation': \"<think>First, I can add 2 and 8 to get 10. Then, I can add 11 to 10 to get 21. Now I have 2, 8, and 2 available again. I can multiply 2 and 2 to get 4, and then add 8 to 4 to get 12. Finally, I can subtract 12 from 21 to get the target number 17.</think> \\n<final_answer>\\nStep 1: 2 + 8 = 10\\nStep... | 45c1e59b5a1a576b7ae49ac9ab5ee519341b3ff5d15693635b6c69819b16325f | 0e76d7adfecf1d484230f45f4d7e233e3860bce62d005024a9c931e6fe2a8c02 | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 2 and 8 to get 10. Then, I can add 11 to 10 to get 21. Now I have 2, 8, and 2 available again. I can multiply 2 and 2 to get 4, and then add 8 to 4 to get 12. Finally, I can subtract 12 from 21 to get the target number 17.</think> \n<final_answer>\nStep 1: 2 + 8 = 10\nStep 2: 10 + 11 = 21\nSt... | [{"budget_forced_chunks": ["<think>First, I can add 2 and 8 to get 10. Then, I can add 11 to 10 to get 21. Now I have 2, 8, and 2 available again. I can multiply 2 and 2 to get 4, and then add 8 to 4 to get 12. Finally, I can subtract 12 from 21 to get the target number 17.</think> \n<final_answer>\nStep 1: 2 + 8 = 10... | null |
8 | {"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... | 22 | {"gen_args_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': \"<think>First, I can add 9 and 15 to get 24. Then, I can add 5 to that sum to get 29. Finally, I can subtract 7 from that number to get 22.</think>\\n<final_answer>\\nStep 1: 9 + 15 = 24\\nStep 2: 24 + 5 = 29\\nStep 3: 29 - 7 = 22\\n</final_answer>\\n\\nThe answer is: 22 = (9 + 15 + 5 - 7)\\n\\nWait,... | ["{'generation': \"<think>First, I can add 9 and 15 to get 24. Then, I can add 5 to that sum to get 29. Finally, I can subtract 7 from that number to get 22.</think>\\n<final_answer>\\nStep 1: 9 + 15 = 24\\nStep 2: 24 + 5 = 29\\nStep 3: 29 - 7 = 22\\n</final_answer>\\n\\nThe answer is: 22 = (9 + 15 + 5 - 7)\\n\\nWait, ... | 167220307e1ef076a95de3ecc155ceac76542c67d9bfe7f28083afac878049e0 | 15b1e41847c3fd678b61f9e016eda0d418836829766dc3d9e8d8e1b5133c1d3a | 785f3ec7eb32f30b90cd0fcf3657d388b5ff4297f2f9716ff66e9b69c05ddd09 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 9 and 15 to get 24. Then, I can add 5 to that sum to get 29. Finally, I can subtract 7 from that number to get 22.</think>\n<final_answer>\nStep 1: 9 + 15 = 24\nStep 2: 24 + 5 = 29\nStep 3: 29 - 7 = 22\n</final_answer>\n\nThe answer is: 22 = (9 + 15 + 5 - 7)\n\nWait, let me try this again. Her... | [{"budget_forced_chunks": ["<think>First, I can add 9 and 15 to get 24. Then, I can add 5 to that sum to get 29. Finally, I can subtract 7 from that number to get 22.</think>\n<final_answer>\nStep 1: 9 + 15 = 24\nStep 2: 24 + 5 = 29\nStep 3: 29 - 7 = 22\n</final_answer>\n\nThe answer is: 22 = (9 + 15 + 5 - 7)\n\nWait, ... | null |
9 | {"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... | 14 | {"gen_args_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': \"<think>First, I need to think of a way to use the numbers 6, 22, and 14 to get the result 14. One way is to multiply 22 by 6 to get 132, and then subtract 14 from 132 to get 118. But 118 is not our final answer yet.</think>\\n<think>Next, I should consider using the number 14 in a subtraction operat... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 6, 22, and 14 to get the result 14. One way is to multiply 22 by 6 to get 132, and then subtract 14 from 132 to get 118. But 118 is not our final answer yet.</think>\\n<think>Next, I should consider using the number 14 in a subtraction operati... | 9177efbdceb2c6d3585fa1de81c78225fbf88132fb0ae87fe539a216301a3389 | a3d20e36b20880d64b880d4378e3aea9de8a3687a302888a392e88997a29b20f | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 6, 22, and 14 to get the result 14. One way is to multiply 22 by 6 to get 132, and then subtract 14 from 132 to get 118. But 118 is not our final answer yet.</think>\n<think>Next, I should consider using the number 14 in a subtraction operation with the result... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 6, 22, and 14 to get the result 14. One way is to multiply 22 by 6 to get 132, and then subtract 14 from 132 to get 118. But 118 is not our final answer yet.</think>\n<think>Next, I should consider using the number 14 in a subtraction... | null |
10 | {"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... | 12 | {"gen_args_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': \"<think>First, I need to think of a way to use the numbers 20, 15, and 17 to get a sum of 12. One way is to multiply 20 by 1/2 (0.5) and then add 15 and 17 to the result. This can be expressed as: (20 * 0.5) + 15 + 17 = 12</think>\\n<final_answer>\\nStep 1: (20 * 0.5) = 10\\nStep 2: 10 + 15 = 25\\nSt... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 20, 15, and 17 to get a sum of 12. One way is to multiply 20 by 1/2 (0.5) and then add 15 and 17 to the result. This can be expressed as: (20 * 0.5) + 15 + 17 = 12</think>\\n<final_answer>\\nStep 1: (20 * 0.5) = 10\\nStep 2: 10 + 15 = 25\\nSte... | fa4cb9ed4e55cbe2ea009410b3c7dcdfb08848fdb2331821ffa94d8b437f7ed2 | 484114ad1c6eb12bf2e842b3e234616a60cc354ec1f3bada427e5e83ddb21194 | 6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 20, 15, and 17 to get a sum of 12. One way is to multiply 20 by 1/2 (0.5) and then add 15 and 17 to the result. This can be expressed as: (20 * 0.5) + 15 + 17 = 12</think>\n<final_answer>\nStep 1: (20 * 0.5) = 10\nStep 2: 10 + 15 = 25\nStep 3: 25 + 17 = 42\n</... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 20, 15, and 17 to get a sum of 12. One way is to multiply 20 by 1/2 (0.5) and then add 15 and 17 to the result. This can be expressed as: (20 * 0.5) + 15 + 17 = 12</think>\n<final_answer>\nStep 1: (20 * 0.5) = 10\nStep 2: 10 + 15 = 25... | null |
11 | {"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': \"<think>First, I can add 9 and 9 to get 18. However, we need to use each number only once. So, we need to find a way to use the remaining numbers [18, 21, 11] in the equation.</think>\\n<final_answer>\\nStep 1: 18 - 9 = 9\\nStep 2: 9 * 21 = 189\\nStep 3: 189 + 11 = 18\\n</final_answer>\\n<any_error>\... | ["{'generation': \"<think>First, I can add 9 and 9 to get 18. However, we need to use each number only once. So, we need to find a way to use the remaining numbers [18, 21, 11] in the equation.</think>\\n<final_answer>\\nStep 1: 18 - 9 = 9\\nStep 2: 9 * 21 = 189\\nStep 3: 189 + 11 = 18\\n</final_answer>\\n<any_error>\\... | aeab403787979ca2e59c5279813784a23284ef1d2d9e6cce4c2f457d9a376fa5 | 7b22993c7049eb435ab1c64d209542f9d5b0889583f68f7daa920a8fdd4d143a | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 9 and 9 to get 18. However, we need to use each number only once. So, we need to find a way to use the remaining numbers [18, 21, 11] in the equation.</think>\n<final_answer>\nStep 1: 18 - 9 = 9\nStep 2: 9 * 21 = 189\nStep 3: 189 + 11 = 18\n</final_answer>\n<any_error>\nThe final answer is: (9... | [{"budget_forced_chunks": ["<think>First, I can add 9 and 9 to get 18. However, we need to use each number only once. So, we need to find a way to use the remaining numbers [18, 21, 11] in the equation.</think>\n<final_answer>\nStep 1: 18 - 9 = 9\nStep 2: 9 * 21 = 189\nStep 3: 189 + 11 = 18\n</final_answer>\n<any_error... | null |
12 | {"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': \"<think>First, I need to find a way to combine these numbers to get as close as possible to 13 using the operations +, -, * and /. One idea is to multiply two numbers and then add or subtract another number, or perhaps multiply one number and then subtract another number. Let's try multiplying 24 and... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get as close as possible to 13 using the operations +, -, * and /. One idea is to multiply two numbers and then add or subtract another number, or perhaps multiply one number and then subtract another number. Let's try multiplying 24 and ... | 94cc4d46a251029a832d451e9841ef5724b174c7b59c6c76e1127a5ee0081cab | 7a5b85f69b00da4f91c788b8cf04b98ce70fb22eb4c3489edad15c24280dac29 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to find a way to combine these numbers to get as close as possible to 13 using the operations +, -, * and /. One idea is to multiply two numbers and then add or subtract another number, or perhaps multiply one number and then subtract another number. Let's try multiplying 24 and 9: \n\n24 * 9 = 2... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get as close as possible to 13 using the operations +, -, * and /. One idea is to multiply two numbers and then add or subtract another number, or perhaps multiply one number and then subtract another number. Let's try multiplyin... | null |
13 | {"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': \"<think>First, I need to think of a way to combine these numbers (10, 21, 17, 20) that equals 13. One way could be to use multiplication and subtraction. I can multiply two numbers and then subtract another number from the result to get a difference of 13. For example, 21 - 7 = 14, and then I can use... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers (10, 21, 17, 20) that equals 13. One way could be to use multiplication and subtraction. I can multiply two numbers and then subtract another number from the result to get a difference of 13. For example, 21 - 7 = 14, and then I can use ... | 1100061fa8b2c459d70a76ef486ae8bad9ac3ddfb304ee3c982e7dc2c573a770 | d068197d7d7b5cec6b7b9f6025420f133708054938f2ab0eba12d3306994440a | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to combine these numbers (10, 21, 17, 20) that equals 13. One way could be to use multiplication and subtraction. I can multiply two numbers and then subtract another number from the result to get a difference of 13. For example, 21 - 7 = 14, and then I can use 10 + 1 to get a d... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers (10, 21, 17, 20) that equals 13. One way could be to use multiplication and subtraction. I can multiply two numbers and then subtract another number from the result to get a difference of 13. For example, 21 - 7 = 14, and then I... | null |
14 | {"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... | 16 | {"gen_args_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': \"<think>First, I can add 11 and 16 to get 27. Then, I can subtract 2 from 27 to get 25. Finally, I can subtract 1 from 25 to get the answer.</think>\\n<final_answer>\\nStep 1: 20 + 11 = 31\\nStep 2: 31 - 16 = 15\\nStep 3: 15 - 1 = 14\\n</final_answer>\\n\\nThe answer is 14.\\n\\nWait, this result is ... | ["{'generation': \"<think>First, I can add 11 and 16 to get 27. Then, I can subtract 2 from 27 to get 25. Finally, I can subtract 1 from 25 to get the answer.</think>\\n<final_answer>\\nStep 1: 20 + 11 = 31\\nStep 2: 31 - 16 = 15\\nStep 3: 15 - 1 = 14\\n</final_answer>\\n\\nThe answer is 14.\\n\\nWait, this result is i... | 02fd4efda14193a5a878824c080d69604c3ea776d1bc6cf3bc6bc40ea401d5a6 | bdb69ef7d0d7581d293cc62945c5493161826c3dbb4a101a65138f34bc2cedcd | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 11 and 16 to get 27. Then, I can subtract 2 from 27 to get 25. Finally, I can subtract 1 from 25 to get the answer.</think>\n<final_answer>\nStep 1: 20 + 11 = 31\nStep 2: 31 - 16 = 15\nStep 3: 15 - 1 = 14\n</final_answer>\n\nThe answer is 14.\n\nWait, this result is incorrect. Let me try again... | [{"budget_forced_chunks": ["<think>First, I can add 11 and 16 to get 27. Then, I can subtract 2 from 27 to get 25. Finally, I can subtract 1 from 25 to get the answer.</think>\n<final_answer>\nStep 1: 20 + 11 = 31\nStep 2: 31 - 16 = 15\nStep 3: 15 - 1 = 14\n</final_answer>\n\nThe answer is 14.\n\nWait, this result is i... | null |
15 | {"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': '<think>First, I can try to express 13 as a sum of the given numbers: 10 + 3. Now, I need to find a way to express 3 using the remaining numbers: 8, 2, and 8. One way is to use the difference between two of these numbers: 8 - 2 = 6. Now, I have 10 + 6 to reach the target number 13. So, the equation is... | ["{'generation': '<think>First, I can try to express 13 as a sum of the given numbers: 10 + 3. Now, I need to find a way to express 3 using the remaining numbers: 8, 2, and 8. One way is to use the difference between two of these numbers: 8 - 2 = 6. Now, I have 10 + 6 to reach the target number 13. So, the equation is:... | e8f9d6da576987a0f9ad4e735715a675cb636b1e6359c3737005d2f84e0e931e | e47f6ad2fb6e83931a5c6e780c6c9c44cb122930e07b0fc80073a360594ffa5f | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can try to express 13 as a sum of the given numbers: 10 + 3. Now, I need to find a way to express 3 using the remaining numbers: 8, 2, and 8. One way is to use the difference between two of these numbers: 8 - 2 = 6. Now, I have 10 + 6 to reach the target number 13. So, the equation is: 10 + 8 - 2 = 13... | [{"budget_forced_chunks": ["<think>First, I can try to express 13 as a sum of the given numbers: 10 + 3. Now, I need to find a way to express 3 using the remaining numbers: 8, 2, and 8. One way is to use the difference between two of these numbers: 8 - 2 = 6. Now, I have 10 + 6 to reach the target number 13. So, the eq... | null |
16 | {"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... | 12 | {"gen_args_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': \"<think>First, I need to think of a way to use the numbers 18, 6, and 9 to get the result of 12. One way is to add 9 and subtract 6, and then multiply the result by 2.</think>\\n<final_answer>\\nStep 1: 9 + 6 = 15\\nStep 2: 15 * 2 = 30\\n</final_answer>\\n\\nHowever, 30 is not equal to 12. Therefore,... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 18, 6, and 9 to get the result of 12. One way is to add 9 and subtract 6, and then multiply the result by 2.</think>\\n<final_answer>\\nStep 1: 9 + 6 = 15\\nStep 2: 15 * 2 = 30\\n</final_answer>\\n\\nHowever, 30 is not equal to 12. Therefore, ... | d9866959919cc04a8c5fdc04301ce1d8f7a08914d45734f9db2a90cd577f5729 | deb0fba45a8cb601a95fc271d175d8ba01be733fcd684e11ff3d617fd59cf7cb | 6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 18, 6, and 9 to get the result of 12. One way is to add 9 and subtract 6, and then multiply the result by 2.</think>\n<final_answer>\nStep 1: 9 + 6 = 15\nStep 2: 15 * 2 = 30\n</final_answer>\n\nHowever, 30 is not equal to 12. Therefore, this is not a valid sol... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 18, 6, and 9 to get the result of 12. One way is to add 9 and subtract 6, and then multiply the result by 2.</think>\n<final_answer>\nStep 1: 9 + 6 = 15\nStep 2: 15 * 2 = 30\n</final_answer>\n\nHowever, 30 is not equal to 12. Therefor... | null |
17 | {"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... | 23 | {"gen_args_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': \"<think>First, I can add 24 and 23 to get 47. Then, I can subtract 7 from 47 to get the desired result of 23.</think> \\n<final_answer>\\nStep 1: 18 + 24 = 42 \\nStep 2: 42 - 23 = 19 \\nStep 3: 19 + 7 = 23 \\n</final_answer>\\n\\nThe answer is: <answer>19 + 7 = 23</answer>.\\n\\nBut according to ... | ["{'generation': \"<think>First, I can add 24 and 23 to get 47. Then, I can subtract 7 from 47 to get the desired result of 23.</think> \\n<final_answer>\\nStep 1: 18 + 24 = 42 \\nStep 2: 42 - 23 = 19 \\nStep 3: 19 + 7 = 23 \\n</final_answer>\\n\\nThe answer is: <answer>19 + 7 = 23</answer>.\\n\\nBut according to y... | 25ddf3f8a07e523e1d9a482834dcac9fcaaebbac9dc38427e65a040a73467cd9 | 660761dff690d0d86c98fbbb63a3514001fc3380534e701bd7dbfc911373b943 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 24 and 23 to get 47. Then, I can subtract 7 from 47 to get the desired result of 23.</think> \n<final_answer>\nStep 1: 18 + 24 = 42 \nStep 2: 42 - 23 = 19 \nStep 3: 19 + 7 = 23 \n</final_answer>\n\nThe answer is: <answer>19 + 7 = 23</answer>.\n\nBut according to your request, here is the s... | [{"budget_forced_chunks": ["<think>First, I can add 24 and 23 to get 47. Then, I can subtract 7 from 47 to get the desired result of 23.</think> \n<final_answer>\nStep 1: 18 + 24 = 42 \nStep 2: 42 - 23 = 19 \nStep 3: 19 + 7 = 23 \n</final_answer>\n\nThe answer is: <answer>19 + 7 = 23</answer>.\n\nBut according to y... | null |
18 | {"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... | 19 | {"gen_args_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': \"<think>First, I can use the number 19 as the result, and the numbers 8 and 1 as the divisors. I can divide 19 by 1 to get 19, and then subtract 8 from 19 to get 11. Now I have the numbers 8 and 1 to work with, and the operation to be performed is subtraction.</think>\\n<final_answer>\\nStep 1: 19 \u... | ["{'generation': \"<think>First, I can use the number 19 as the result, and the numbers 8 and 1 as the divisors. I can divide 19 by 1 to get 19, and then subtract 8 from 19 to get 11. Now I have the numbers 8 and 1 to work with, and the operation to be performed is subtraction.</think>\\n<final_answer>\\nStep 1: 19 \u0... | 1cd1ac367b8094381769d347eecffee28ecb19caa550d2df703e5cde7cd4becf | 6bfcb228fc7047fd6a48a7db20c9b22405f716d78e11232a2351199c622a496b | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can use the number 19 as the result, and the numbers 8 and 1 as the divisors. I can divide 19 by 1 to get 19, and then subtract 8 from 19 to get 11. Now I have the numbers 8 and 1 to work with, and the operation to be performed is subtraction.</think>\n<final_answer>\nStep 1: 19 \u00f7 1 = 19\nStep 2:... | [{"budget_forced_chunks": ["<think>First, I can use the number 19 as the result, and the numbers 8 and 1 as the divisors. I can divide 19 by 1 to get 19, and then subtract 8 from 19 to get 11. Now I have the numbers 8 and 1 to work with, and the operation to be performed is subtraction.</think>\n<final_answer>\nStep 1:... | null |
19 | {"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... | 12 | {"gen_args_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': \"<think>First, I can try to split the numbers into groups and see if I can find a combination that equals 12. One way to approach this is by using basic arithmetic operations (+, -, *, /) and ensuring each number is used once. \\n\\nOne possible equation could be: (2 * 3) + (8 / 2) = 12. Let me break... | ["{'generation': \"<think>First, I can try to split the numbers into groups and see if I can find a combination that equals 12. One way to approach this is by using basic arithmetic operations (+, -, *, /) and ensuring each number is used once. \\n\\nOne possible equation could be: (2 * 3) + (8 / 2) = 12. Let me break ... | 60dc4901c356bcb56bba8d524e1d45208b1b9d878f2ef89d3af8dfd467b2a7df | 1321f842cb74d6de4fc8454a45b42fec7481a7e861fdb5b5ca907b30d14ffda3 | 6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can try to split the numbers into groups and see if I can find a combination that equals 12. One way to approach this is by using basic arithmetic operations (+, -, *, /) and ensuring each number is used once. \n\nOne possible equation could be: (2 * 3) + (8 / 2) = 12. Let me break this down:\n- First... | [{"budget_forced_chunks": ["<think>First, I can try to split the numbers into groups and see if I can find a combination that equals 12. One way to approach this is by using basic arithmetic operations (+, -, *, /) and ensuring each number is used once. \n\nOne possible equation could be: (2 * 3) + (8 / 2) = 12. Let me... | null |
20 | {"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... | 20 | {"gen_args_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': \"<think>First, I can add 7 and 18 to get 25. Then, I can subtract 5 from 25 to get 20. So the equation is: (7 + 18) - 5 = 20.</think> \\n<answer>(7 + 18) - 5 = 20</answer>\\n\\nBut I need to verify this. Let me check by creating the equation directly: \\n7 + 18 = 25\\n25 - 5 = 20\\n\\nSo the final an... | ["{'generation': \"<think>First, I can add 7 and 18 to get 25. Then, I can subtract 5 from 25 to get 20. So the equation is: (7 + 18) - 5 = 20.</think> \\n<answer>(7 + 18) - 5 = 20</answer>\\n\\nBut I need to verify this. Let me check by creating the equation directly: \\n7 + 18 = 25\\n25 - 5 = 20\\n\\nSo the final ans... | 06cca78287b0d4bbe85792545a31e52e50410de869f5164f38c7f45cfaec36c0 | 29d339d1a73cab0b263042199e1b89def0f3593d74ca75cb8f89346bce8efeca | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 7 and 18 to get 25. Then, I can subtract 5 from 25 to get 20. So the equation is: (7 + 18) - 5 = 20.</think> \n<answer>(7 + 18) - 5 = 20</answer>\n\nBut I need to verify this. Let me check by creating the equation directly: \n7 + 18 = 25\n25 - 5 = 20\n\nSo the final answer is: <final_answer>20... | [{"budget_forced_chunks": ["<think>First, I can add 7 and 18 to get 25. Then, I can subtract 5 from 25 to get 20. So the equation is: (7 + 18) - 5 = 20.</think> \n<answer>(7 + 18) - 5 = 20</answer>\n\nBut I need to verify this. Let me check by creating the equation directly: \n7 + 18 = 25\n25 - 5 = 20\n\nSo the final a... | null |
21 | {"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... | 25 | {"gen_args_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': \"<think>First, I can add 14 and 15 to get 29. Then, I can subtract 4 (24) from 29 to get the desired result of 25.</think> \\n<final_answer>\\nStep 1: 14 + 15 = 29\\nStep 2: 29 - 24 = 5\\n</final_answer> \\n\\nThe equation that equals 25 is: \\\\(14 + 15 - 24 = 5\\\\).\\n\\nBut to confirm, let's br... | ["{'generation': \"<think>First, I can add 14 and 15 to get 29. Then, I can subtract 4 (24) from 29 to get the desired result of 25.</think> \\n<final_answer>\\nStep 1: 14 + 15 = 29\\nStep 2: 29 - 24 = 5\\n</final_answer> \\n\\nThe equation that equals 25 is: \\\\(14 + 15 - 24 = 5\\\\).\\n\\nBut to confirm, let's bre... | 1955abb6fb8a09c76c5348e083bbebb0a33332ecf20a36bb471cd1d8f35b73a1 | b8a8b41d18a1eb8b0faef834e0879fe35579560714765ba93d86fd34739a4fc7 | b7a56873cd771f2c446d369b649430b65a756ba278ff97ec81bb6f55b2e73569 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 14 and 15 to get 29. Then, I can subtract 4 (24) from 29 to get the desired result of 25.</think> \n<final_answer>\nStep 1: 14 + 15 = 29\nStep 2: 29 - 24 = 5\n</final_answer> \n\nThe equation that equals 25 is: \\(14 + 15 - 24 = 5\\).\n\nBut to confirm, let's break it down step by step as re... | [{"budget_forced_chunks": ["<think>First, I can add 14 and 15 to get 29. Then, I can subtract 4 (24) from 29 to get the desired result of 25.</think> \n<final_answer>\nStep 1: 14 + 15 = 29\nStep 2: 29 - 24 = 5\n</final_answer> \n\nThe equation that equals 25 is: \\(14 + 15 - 24 = 5\\).\n\nBut to confirm, let's break ... | null |
22 | {"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... | 11 | {"gen_args_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': \"<think>First, I can try to add the two larger numbers: 14 + 6 = 20. Now I have the sum of 20, and I need to use the smallest number, which is 9. I can subtract 9 from 20 to get the final number: 20 - 9 = 11.</think> \\n<final_answer>\\nStep 1: 14 + 6 = 20\\nStep 2: 20 - 9 = 11\\n</final_answer>\\n\... | ["{'generation': \"<think>First, I can try to add the two larger numbers: 14 + 6 = 20. Now I have the sum of 20, and I need to use the smallest number, which is 9. I can subtract 9 from 20 to get the final number: 20 - 9 = 11.</think> \\n<final_answer>\\nStep 1: 14 + 6 = 20\\nStep 2: 20 - 9 = 11\\n</final_answer>\\n\\... | 082771250b668f5226cf3648d240e6c619be27b661df71e8f29ac9c0df5488f9 | 37185b44b5e1a9df65f24f8419874e6140b44c63509ae6a7873eb6b60f0cf67e | 4fc82b26aecb47d2868c4efbe3581732a3e7cbcc6c2efb32062c08170a05eeb8 | 1 | [true] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can try to add the two larger numbers: 14 + 6 = 20. Now I have the sum of 20, and I need to use the smallest number, which is 9. I can subtract 9 from 20 to get the final number: 20 - 9 = 11.</think> \n<final_answer>\nStep 1: 14 + 6 = 20\nStep 2: 20 - 9 = 11\n</final_answer>\n\nThe answer is: <answer... | [{"budget_forced_chunks": ["<think>First, I can try to add the two larger numbers: 14 + 6 = 20. Now I have the sum of 20, and I need to use the smallest number, which is 9. I can subtract 9 from 20 to get the final number: 20 - 9 = 11.</think> \n<final_answer>\nStep 1: 14 + 6 = 20\nStep 2: 20 - 9 = 11\n</final_answer>... | null |
23 | {"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': \"<think>First, I can add 8 and 6 to get 14. Then, I can multiply 14 by 3 to get 42. Finally, I can subtract 14 from 42 to get the difference, which is 28.</think>\\n<final_answer>\\nStep 1: 8 + 6 = 14\\nStep 2: 14 * 3 = 42\\nStep 3: 42 - 14 = 28\\n</final_answer>\\nThe answer is: 28\\n\\nWait, how? L... | ["{'generation': \"<think>First, I can add 8 and 6 to get 14. Then, I can multiply 14 by 3 to get 42. Finally, I can subtract 14 from 42 to get the difference, which is 28.</think>\\n<final_answer>\\nStep 1: 8 + 6 = 14\\nStep 2: 14 * 3 = 42\\nStep 3: 42 - 14 = 28\\n</final_answer>\\nThe answer is: 28\\n\\nWait, how? Le... | 8b9702914657f73013262b009fc3552edf08395b0dbe2e572bbc5cd37ecd3387 | b75ad6172d90b6085ea5c6a2c9338e58019c6a42f9b71f4bd33140b7b0ca72d2 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 8 and 6 to get 14. Then, I can multiply 14 by 3 to get 42. Finally, I can subtract 14 from 42 to get the difference, which is 28.</think>\n<final_answer>\nStep 1: 8 + 6 = 14\nStep 2: 14 * 3 = 42\nStep 3: 42 - 14 = 28\n</final_answer>\nThe answer is: 28\n\nWait, how? Let me show you step by ste... | [{"budget_forced_chunks": ["<think>First, I can add 8 and 6 to get 14. Then, I can multiply 14 by 3 to get 42. Finally, I can subtract 14 from 42 to get the difference, which is 28.</think>\n<final_answer>\nStep 1: 8 + 6 = 14\nStep 2: 14 * 3 = 42\nStep 3: 42 - 14 = 28\n</final_answer>\nThe answer is: 28\n\nWait, how? L... | null |
24 | {"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... | 25 | {"gen_args_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': \"<think>First, I can add 2 and 6 to get 8. Then, I need to multiply this by 3 (one of the input numbers). So the equation starts with: (2 + 6) * 3 = result</think>\\n<final_answer>\\\\( (2 + 6) * 3 = 25 \\\\)</final_answer> But to confirm, 2 * 6 = 12, and 12 + 3 = 15, which is not 25. I need to retra... | ["{'generation': \"<think>First, I can add 2 and 6 to get 8. Then, I need to multiply this by 3 (one of the input numbers). So the equation starts with: (2 + 6) * 3 = result</think>\\n<final_answer>\\\\( (2 + 6) * 3 = 25 \\\\)</final_answer> But to confirm, 2 * 6 = 12, and 12 + 3 = 15, which is not 25. I need to retrac... | cf4237b8a4d528b6996957344229c797765e97e4d292bb00152890f0273bfe5d | 510813f610ad2885b641030188a8c8d20ca83a50ca2a36b5355b3d8af2089c8b | b7a56873cd771f2c446d369b649430b65a756ba278ff97ec81bb6f55b2e73569 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 2 and 6 to get 8. Then, I need to multiply this by 3 (one of the input numbers). So the equation starts with: (2 + 6) * 3 = result</think>\n<final_answer>\\( (2 + 6) * 3 = 25 \\)</final_answer> But to confirm, 2 * 6 = 12, and 12 + 3 = 15, which is not 25. I need to retrace my steps. Instead of... | [{"budget_forced_chunks": ["<think>First, I can add 2 and 6 to get 8. Then, I need to multiply this by 3 (one of the input numbers). So the equation starts with: (2 + 6) * 3 = result</think>\n<final_answer>\\( (2 + 6) * 3 = 25 \\)</final_answer>", " But to confirm, 2 * 6 = 12, and 12 + 3 = 15, which is not 25. I need t... | null |
25 | {"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... | 22 | {"gen_args_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': \"<think>First, I can add 9 and 13 to get 22. However, I need to use each number only once. So, I'll subtract 9 from 22 and then add 13 to the result, using 13 as the second number. This will force 9 to be used as the other number in the subtraction: \\n\\n22 - 9 = 13\\n\\nNow, to get to the final res... | ["{'generation': \"<think>First, I can add 9 and 13 to get 22. However, I need to use each number only once. So, I'll subtract 9 from 22 and then add 13 to the result, using 13 as the second number. This will force 9 to be used as the other number in the subtraction: \\n\\n22 - 9 = 13\\n\\nNow, to get to the final resu... | f69cf0b77fe42a0d324ddf1ad2281a565cd8fe5a16a7ae869ce3b5af3648068e | da83e0c754606dd8653769cc1a82cbaae8fe676572547d75c872cdf58d56fc8f | 785f3ec7eb32f30b90cd0fcf3657d388b5ff4297f2f9716ff66e9b69c05ddd09 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 9 and 13 to get 22. However, I need to use each number only once. So, I'll subtract 9 from 22 and then add 13 to the result, using 13 as the second number. This will force 9 to be used as the other number in the subtraction: \n\n22 - 9 = 13\n\nNow, to get to the final result of 22, I need to a... | [{"budget_forced_chunks": ["<think>First, I can add 9 and 13 to get 22. However, I need to use each number only once. So, I'll subtract 9 from 22 and then add 13 to the result, using 13 as the second number. This will force 9 to be used as the other number in the subtraction: \n\n22 - 9 = 13\n\nNow, to get to the final... | null |
26 | {"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': \"<think>First, I can add 16 and 5 to get 21. Then, I can add 7 to 21 to get 28. Finally, I can add 10 to 28 to get 38.</think>\\n<final_answer>\\nStep 1: 16 + 5 = 21\\nStep 2: 21 + 7 = 28\\nStep 3: 28 + 10 = 38\\n</final_answer>\\n\\nThe answer is 38.\\n\\nWait, let me try this again. Here's my thoug... | ["{'generation': \"<think>First, I can add 16 and 5 to get 21. Then, I can add 7 to 21 to get 28. Finally, I can add 10 to 28 to get 38.</think>\\n<final_answer>\\nStep 1: 16 + 5 = 21\\nStep 2: 21 + 7 = 28\\nStep 3: 28 + 10 = 38\\n</final_answer>\\n\\nThe answer is 38.\\n\\nWait, let me try this again. Here's my though... | 88082144b6bbe5af4c5b843fb0153a69cb4ffa01356400441326b9aeb27e7341 | 799ad6928102e3f10f3aba9eecfd691709262a50e7812cb4adcfcdd97353a464 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 16 and 5 to get 21. Then, I can add 7 to 21 to get 28. Finally, I can add 10 to 28 to get 38.</think>\n<final_answer>\nStep 1: 16 + 5 = 21\nStep 2: 21 + 7 = 28\nStep 3: 28 + 10 = 38\n</final_answer>\n\nThe answer is 38.\n\nWait, let me try this again. Here's my thought process:\n\n1. Use 10 an... | [{"budget_forced_chunks": ["<think>First, I can add 16 and 5 to get 21. Then, I can add 7 to 21 to get 28. Finally, I can add 10 to 28 to get 38.</think>\n<final_answer>\nStep 1: 16 + 5 = 21\nStep 2: 21 + 7 = 28\nStep 3: 28 + 10 = 38\n</final_answer>\n\nThe answer is 38.\n\nWait, let me try this again. Here's my though... | null |
27 | {"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... | 16 | {"gen_args_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': \"<think>First, I can try to express 16 as a sum of the given numbers. One way to do this is to use two 5's, since 5 + 5 = 10 and we can adjust this to get closer to 16.</think>\\n<think>Now, I can use the 18 to make a 20, since 18 + 2 = 20. This will give me a starting point of 20, since 10 + 10 = 20... | ["{'generation': \"<think>First, I can try to express 16 as a sum of the given numbers. One way to do this is to use two 5's, since 5 + 5 = 10 and we can adjust this to get closer to 16.</think>\\n<think>Now, I can use the 18 to make a 20, since 18 + 2 = 20. This will give me a starting point of 20, since 10 + 10 = 20.... | 63792ff69af699c4a79245246a3a0ca868fd10c8a39aac99e71d88802ba4d89e | c8b96c17d1cc42d3cdd0a3944a65fc5cdc3ce1607a49e7659cba77c65bc2a3a2 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can try to express 16 as a sum of the given numbers. One way to do this is to use two 5's, since 5 + 5 = 10 and we can adjust this to get closer to 16.</think>\n<think>Now, I can use the 18 to make a 20, since 18 + 2 = 20. This will give me a starting point of 20, since 10 + 10 = 20.</think>\n<think>T... | [{"budget_forced_chunks": ["<think>First, I can try to express 16 as a sum of the given numbers. One way to do this is to use two 5's, since 5 + 5 = 10 and we can adjust this to get closer to 16.</think>\n<think>Now, I can use the 18 to make a 20, since 18 + 2 = 20. This will give me a starting point of 20, since 10 + ... | null |
28 | {"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... | 20 | {"gen_args_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': \"<think>First, I can add 6 and 17 to get 23. Then, I can subtract 2 from 23 to get 21. Finally, I can divide 21 by 7 to get the result of 3.</think>\\n<final_answer>\\nStep 1: 6 + 17 = 23\\nStep 2: 23 - 2 = 21\\nStep 3: 21 / 7 = 3\\n</final_answer>\\n\\nThe answer is: 3\\n\\nWait, let me try this aga... | ["{'generation': \"<think>First, I can add 6 and 17 to get 23. Then, I can subtract 2 from 23 to get 21. Finally, I can divide 21 by 7 to get the result of 3.</think>\\n<final_answer>\\nStep 1: 6 + 17 = 23\\nStep 2: 23 - 2 = 21\\nStep 3: 21 / 7 = 3\\n</final_answer>\\n\\nThe answer is: 3\\n\\nWait, let me try this agai... | 3ebf9c654d2c23444bb49b95d6ffae3543f7edd3c874005aacb5efe0e8c72831 | 79627955b99d396c075d0879ad7a818d3b21c5d6a9f427e1405e67e23ac8e56e | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 6 and 17 to get 23. Then, I can subtract 2 from 23 to get 21. Finally, I can divide 21 by 7 to get the result of 3.</think>\n<final_answer>\nStep 1: 6 + 17 = 23\nStep 2: 23 - 2 = 21\nStep 3: 21 / 7 = 3\n</final_answer>\n\nThe answer is: 3\n\nWait, let me try this again step by step. \n\nFirst,... | [{"budget_forced_chunks": ["<think>First, I can add 6 and 17 to get 23. Then, I can subtract 2 from 23 to get 21. Finally, I can divide 21 by 7 to get the result of 3.</think>\n<final_answer>\nStep 1: 6 + 17 = 23\nStep 2: 23 - 2 = 21\nStep 3: 21 / 7 = 3\n</final_answer>\n\nThe answer is: 3\n\nWait, let me try this agai... | null |
29 | {"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... | 12 | {"gen_args_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': \"<think>First, I need to think of a multiplication or division that results in 12 using the numbers given. I can't use a number twice, so I'll try combinations to find a workable equation.</think>\\n<final_answer>\\nStep 1: 20 - 8 = 12 (using 20 and 8)\\n</final_answer>\\n\\nWait, this result is inco... | ["{'generation': \"<think>First, I need to think of a multiplication or division that results in 12 using the numbers given. I can't use a number twice, so I'll try combinations to find a workable equation.</think>\\n<final_answer>\\nStep 1: 20 - 8 = 12 (using 20 and 8)\\n</final_answer>\\n\\nWait, this result is incor... | 27faf0638979afa1b175846661e17479d01ceedaf0bf10d7dbb70aeb3521ef97 | 3f6f94c431163cd8cc49822757d645f85470473d307da501df3e89c4e031cae9 | 6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a multiplication or division that results in 12 using the numbers given. I can't use a number twice, so I'll try combinations to find a workable equation.</think>\n<final_answer>\nStep 1: 20 - 8 = 12 (using 20 and 8)\n</final_answer>\n\nWait, this result is incorrect. Let me try again... | [{"budget_forced_chunks": ["<think>First, I need to think of a multiplication or division that results in 12 using the numbers given. I can't use a number twice, so I'll try combinations to find a workable equation.</think>\n<final_answer>\nStep 1: 20 - 8 = 12 (using 20 and 8)\n</final_answer>\n\nWait, this result is i... | null |
30 | {"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': \"<think>First, I can add 9 and 8 to get 17. So the equation will be in the form of (9 + _*)/13 = 17.</think>\\n<final_answer>\\\\(9 + 8 = 17\\\\) \\n1: \\\\(9 + 8 = 17\\\\) \\n/-13 = 1\\\\</final_answer>\\n\\nBut I need to use all the numbers exactly once. So, I should multiply 9 by 11 and then sub... | ["{'generation': \"<think>First, I can add 9 and 8 to get 17. So the equation will be in the form of (9 + _*)/13 = 17.</think>\\n<final_answer>\\\\(9 + 8 = 17\\\\) \\n1: \\\\(9 + 8 = 17\\\\) \\n/-13 = 1\\\\</final_answer>\\n\\nBut I need to use all the numbers exactly once. So, I should multiply 9 by 11 and then subt... | 0cc1376e685c64555564eb12e63d0398e53a881d7ddd1ee152d5e5ae43fa7702 | 21a660424e8cbb50098eb005a75591915839535032517b245dd5062f33d5ac1b | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 9 and 8 to get 17. So the equation will be in the form of (9 + _*)/13 = 17.</think>\n<final_answer>\\(9 + 8 = 17\\) \n1: \\(9 + 8 = 17\\) \n/-13 = 1\\</final_answer>\n\nBut I need to use all the numbers exactly once. So, I should multiply 9 by 11 and then subtract 8 from the result to keep u... | [{"budget_forced_chunks": ["<think>First, I can add 9 and 8 to get 17. So the equation will be in the form of (9 + _*)/13 = 17.</think>\n<final_answer>\\(9 + 8 = 17\\) \n1: \\(9 + 8 = 17\\) \n/-13 = 1\\</final_answer>\n\nBut I need to use all the numbers exactly once. So, I should multiply 9 by 11 and then subtract 8... | null |
31 | {"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... | 14 | {"gen_args_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': \"<think>First, I need to find a way to combine the numbers 3, 18, 7, and 17 to get a sum of 14. One way to do this is to start by adding 3 and 17, and then add 7 to the result. This is because 3 + 17 = 20, and then adding 7 gives us 27. Finally, we need to subtract 18 from 27 to get a final result of... | ["{'generation': \"<think>First, I need to find a way to combine the numbers 3, 18, 7, and 17 to get a sum of 14. One way to do this is to start by adding 3 and 17, and then add 7 to the result. This is because 3 + 17 = 20, and then adding 7 gives us 27. Finally, we need to subtract 18 from 27 to get a final result of ... | 0bff8a88f392bdea9bf78037fd9345e9a360c73183f41fac27009acbfcf45a45 | 284464ca2a666cb6ff9513a61057ef6b38f08efea9d5d1e57272daf5b514b30d | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 1 | [true] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to find a way to combine the numbers 3, 18, 7, and 17 to get a sum of 14. One way to do this is to start by adding 3 and 17, and then add 7 to the result. This is because 3 + 17 = 20, and then adding 7 gives us 27. Finally, we need to subtract 18 from 27 to get a final result of 9. However, this ... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the numbers 3, 18, 7, and 17 to get a sum of 14. One way to do this is to start by adding 3 and 17, and then add 7 to the result. This is because 3 + 17 = 20, and then adding 7 gives us 27. Finally, we need to subtract 18 from 27 to get a final r... | null |
32 | {"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': \"<think>First, I can add 6 and 15 to get 21. Then, I can add 18 to 21 to get the result of 39. So the equation would be: (6 + 15) + 18 = 39</think> \\n<answer>(6 + 15) + 18 = 39</answer>\\n\\nBut according to the instruction, I need to provide the answer in the format of <final_answer>...</final_ans... | ["{'generation': \"<think>First, I can add 6 and 15 to get 21. Then, I can add 18 to 21 to get the result of 39. So the equation would be: (6 + 15) + 18 = 39</think> \\n<answer>(6 + 15) + 18 = 39</answer>\\n\\nBut according to the instruction, I need to provide the answer in the format of <final_answer>...</final_answ... | dd4b144645f3044ade5370b84d2c8ffc297f7221b9b007340f14cfbc65e21d08 | 66bdbb1dbf3161fa4bd295ada53f214a78964d34cbac8721fc230f654dd84eb9 | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 6 and 15 to get 21. Then, I can add 18 to 21 to get the result of 39. So the equation would be: (6 + 15) + 18 = 39</think> \n<answer>(6 + 15) + 18 = 39</answer>\n\nBut according to the instruction, I need to provide the answer in the format of <final_answer>...</final_answer>. I will wrap the... | [{"budget_forced_chunks": ["<think>First, I can add 6 and 15 to get 21. Then, I can add 18 to 21 to get the result of 39. So the equation would be: (6 + 15) + 18 = 39</think> \n<answer>(6 + 15) + 18 = 39</answer>\n\nBut according to the instruction, I need to provide the answer in the format of <final_answer>...</fina... | null |
33 | {"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... | 19 | {"gen_args_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': \"<think>First, I can add 21 and 22 to get 43. Then, I can subtract 17 from 43 to get 26. Finally, I can divide 26 by 1 to get the result of 26.</think> \\n<final_answer>\\nStep 1: 21 + 22 = 43\\nStep 2: 43 - 17 = 26\\nStep 3: 26 / 1 = 26\\n</final_answer>\\n\\nThe answer is: <answer>26</answer>\\n\\... | ["{'generation': \"<think>First, I can add 21 and 22 to get 43. Then, I can subtract 17 from 43 to get 26. Finally, I can divide 26 by 1 to get the result of 26.</think> \\n<final_answer>\\nStep 1: 21 + 22 = 43\\nStep 2: 43 - 17 = 26\\nStep 3: 26 / 1 = 26\\n</final_answer>\\n\\nThe answer is: <answer>26</answer>\\n\\n... | 386f2658d165d4865e961a1c33162044ca2347736a789c08f0ef045ee45694e2 | b67f903481c0c503505a89ffb5d2efc0440dab837c0f5b94fc16cd0f93e5e719 | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 21 and 22 to get 43. Then, I can subtract 17 from 43 to get 26. Finally, I can divide 26 by 1 to get the result of 26.</think> \n<final_answer>\nStep 1: 21 + 22 = 43\nStep 2: 43 - 17 = 26\nStep 3: 26 / 1 = 26\n</final_answer>\n\nThe answer is: <answer>26</answer>\n\nWait, this result is incor... | [{"budget_forced_chunks": ["<think>First, I can add 21 and 22 to get 43. Then, I can subtract 17 from 43 to get 26. Finally, I can divide 26 by 1 to get the result of 26.</think> \n<final_answer>\nStep 1: 21 + 22 = 43\nStep 2: 43 - 17 = 26\nStep 3: 26 / 1 = 26\n</final_answer>\n\nThe answer is: <answer>26</answer>\n\n... | null |
34 | {"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... | 19 | {"gen_args_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': \"<think>First, I need to find a way to combine the given numbers [7, 23, 11] using the operations (+, -, *, /) to reach the target sum of 19. I can start by trying different combinations of these operations on the numbers.</think>\\n<final_answer>Step 1: 23 + 11 = 34</final_answer>\\n<final_answer>St... | ["{'generation': \"<think>First, I need to find a way to combine the given numbers [7, 23, 11] using the operations (+, -, *, /) to reach the target sum of 19. I can start by trying different combinations of these operations on the numbers.</think>\\n<final_answer>Step 1: 23 + 11 = 34</final_answer>\\n<final_answer>Ste... | 11d4963569c689aaad5d7281b004c6802e6924ca6310338820f9a7a845258c03 | cd94a9feffddb511cf4bb21a2989fbef048bfdac8f9ca47a4ddea52ecdff72f0 | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to find a way to combine the given numbers [7, 23, 11] using the operations (+, -, *, /) to reach the target sum of 19. I can start by trying different combinations of these operations on the numbers.</think>\n<final_answer>Step 1: 23 + 11 = 34</final_answer>\n<final_answer>Step 2: 34 - 7 = 27</f... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers [7, 23, 11] using the operations (+, -, *, /) to reach the target sum of 19. I can start by trying different combinations of these operations on the numbers.</think>\n<final_answer>Step 1: 23 + 11 = 34</final_answer>\n<final_ans... | null |
35 | {"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... | 16 | {"gen_args_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': \"<think>First, I can add 9 and 17 to get close to 16. Then, I can use the remaining numbers to adjust the sum.</think>\\n<final_answer>\\nStep 1: 9 + 17 = 26\\nStep 2: Use 16 and 9 left to adjust: 26 - 9 = 17\\n</final_answer>\\nThe equation that equals 16 using the numbers [9, 17, 16, 9] is: (9 + 17... | ["{'generation': \"<think>First, I can add 9 and 17 to get close to 16. Then, I can use the remaining numbers to adjust the sum.</think>\\n<final_answer>\\nStep 1: 9 + 17 = 26\\nStep 2: Use 16 and 9 left to adjust: 26 - 9 = 17\\n</final_answer>\\nThe equation that equals 16 using the numbers [9, 17, 16, 9] is: (9 + 17)... | e2307676ba5945f3e2c373ae638ce1fbf09fef1f24485b95b0b9dae44c1099fb | 1b4da6d5e75ebf799898cd96ebd7861935499bc7b18b914f13cc209f4ed6b549 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 9 and 17 to get close to 16. Then, I can use the remaining numbers to adjust the sum.</think>\n<final_answer>\nStep 1: 9 + 17 = 26\nStep 2: Use 16 and 9 left to adjust: 26 - 9 = 17\n</final_answer>\nThe equation that equals 16 using the numbers [9, 17, 16, 9] is: (9 + 17) - 9 = 16.\n\nBut to c... | [{"budget_forced_chunks": ["<think>First, I can add 9 and 17 to get close to 16. Then, I can use the remaining numbers to adjust the sum.</think>\n<final_answer>\nStep 1: 9 + 17 = 26\nStep 2: Use 16 and 9 left to adjust: 26 - 9 = 17\n</final_answer>\nThe equation that equals 16 using the numbers [9, 17, 16, 9] is: (9 +... | null |
36 | {"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... | 11 | {"gen_args_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': \"<think>First, I need to think of a way to use the numbers 9, 6, 24, and 15 to get the result of 11. One way could be to multiply two of the numbers and then add or subtract the other two numbers to get 11. Another way could be to multiply three of the numbers and then add or subtract the fourth numb... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 9, 6, 24, and 15 to get the result of 11. One way could be to multiply two of the numbers and then add or subtract the other two numbers to get 11. Another way could be to multiply three of the numbers and then add or subtract the fourth numbe... | 055f38773f98fc1fe93514b433eb50b05677ceaa346ad81e22d44389b2c69218 | d557d1a3780d56b3ad6c44c18a367bdb95da8e17c3271d31bd3c4625235d047c | 4fc82b26aecb47d2868c4efbe3581732a3e7cbcc6c2efb32062c08170a05eeb8 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 9, 6, 24, and 15 to get the result of 11. One way could be to multiply two of the numbers and then add or subtract the other two numbers to get 11. Another way could be to multiply three of the numbers and then add or subtract the fourth number to get 11. I wi... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 9, 6, 24, and 15 to get the result of 11. One way could be to multiply two of the numbers and then add or subtract the other two numbers to get 11. Another way could be to multiply three of the numbers and then add or subtract the fou... | null |
37 | {"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... | 23 | {"gen_args_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': \"<think>First, I can add 12 and 18 to get 30. Then, I can subtract 19 from 30 to get 1. Finally, I can add 5 to 1 to get 23.</think>\\n<final_answer>\\nStep 1: 12 + 18 = 30\\nStep 2: 30 - 19 = 11\\nStep 3: 11 + 5 = 16\\n<answer>16</answer>\\n</final_answer>\\n\\nBut to confirm, here's how you can sol... | ["{'generation': \"<think>First, I can add 12 and 18 to get 30. Then, I can subtract 19 from 30 to get 1. Finally, I can add 5 to 1 to get 23.</think>\\n<final_answer>\\nStep 1: 12 + 18 = 30\\nStep 2: 30 - 19 = 11\\nStep 3: 11 + 5 = 16\\n<answer>16</answer>\\n</final_answer>\\n\\nBut to confirm, here's how you can solv... | 1e02d758f3506e31de59f006d92bf7c85dab20b9e23beaf41677a15949d9d257 | f793bdad9ecf5e858a215f47764758b771996046772c2ab09c13997ff97fb08f | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 12 and 18 to get 30. Then, I can subtract 19 from 30 to get 1. Finally, I can add 5 to 1 to get 23.</think>\n<final_answer>\nStep 1: 12 + 18 = 30\nStep 2: 30 - 19 = 11\nStep 3: 11 + 5 = 16\n<answer>16</answer>\n</final_answer>\n\nBut to confirm, here's how you can solve it using the given numb... | [{"budget_forced_chunks": ["<think>First, I can add 12 and 18 to get 30. Then, I can subtract 19 from 30 to get 1. Finally, I can add 5 to 1 to get 23.</think>\n<final_answer>\nStep 1: 12 + 18 = 30\nStep 2: 30 - 19 = 11\nStep 3: 11 + 5 = 16\n<answer>16</answer>\n</final_answer>\n\nBut to confirm, here's how you can sol... | null |
38 | {"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... | 23 | {"gen_args_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': \"<think>First, I can add 6 and 14 to get 20. Then, I can add 8 to that sum to get 28. Finally, I can subtract 6 from 28 to get the result of 22. So the equation is: (8 + 6 + 14) * 2 - 6 = 22</think> \\n<answer>(8 + 6 + 14) * 2 - 6 = 22</answer>\\n\\nBut to confirm, here's how you can solve it using ... | ["{'generation': \"<think>First, I can add 6 and 14 to get 20. Then, I can add 8 to that sum to get 28. Finally, I can subtract 6 from 28 to get the result of 22. So the equation is: (8 + 6 + 14) * 2 - 6 = 22</think> \\n<answer>(8 + 6 + 14) * 2 - 6 = 22</answer>\\n\\nBut to confirm, here's how you can solve it using t... | 2282af28b6f6534d090ed13558649edf72ec5e7d388ee194c9d515d532857337 | ad151f6b94c236a705e099c3417b7c3decac063fdfea02b5158df46c0a2579bc | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 6 and 14 to get 20. Then, I can add 8 to that sum to get 28. Finally, I can subtract 6 from 28 to get the result of 22. So the equation is: (8 + 6 + 14) * 2 - 6 = 22</think> \n<answer>(8 + 6 + 14) * 2 - 6 = 22</answer>\n\nBut to confirm, here's how you can solve it using the operations you ca... | [{"budget_forced_chunks": ["<think>First, I can add 6 and 14 to get 20. Then, I can add 8 to that sum to get 28. Finally, I can subtract 6 from 28 to get the result of 22. So the equation is: (8 + 6 + 14) * 2 - 6 = 22</think> \n<answer>(8 + 6 + 14) * 2 - 6 = 22</answer>\n\nBut to confirm, here's how you can solve it u... | null |
39 | {"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... | 10 | {"gen_args_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': \"<think>First, I can add 8 and 23 to get 31. Then, I can subtract 9 from 31 to get 2. Finally, I can divide 2 by 6 to get the result.</think>\\n<final_answer>\\nStep 1: 8 + 23 = 31\\nStep 2: 31 - 9 = 22\\nStep 3: 22 / 6 = 3.6667\\n</final_answer>\\n\\nHowever, since the assistant is a machine and doe... | ["{'generation': \"<think>First, I can add 8 and 23 to get 31. Then, I can subtract 9 from 31 to get 2. Finally, I can divide 2 by 6 to get the result.</think>\\n<final_answer>\\nStep 1: 8 + 23 = 31\\nStep 2: 31 - 9 = 22\\nStep 3: 22 / 6 = 3.6667\\n</final_answer>\\n\\nHowever, since the assistant is a machine and does... | 42ba5c03d722b5c353664340bb3fdd03fef285a1d746be67dc6080b64f3ed1f2 | 6010e5495bfc0eb1aaa69f8d33dafba7002318874f2f8993a899f6c2175341be | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 8 and 23 to get 31. Then, I can subtract 9 from 31 to get 2. Finally, I can divide 2 by 6 to get the result.</think>\n<final_answer>\nStep 1: 8 + 23 = 31\nStep 2: 31 - 9 = 22\nStep 3: 22 / 6 = 3.6667\n</final_answer>\n\nHowever, since the assistant is a machine and doesn't have the capability ... | [{"budget_forced_chunks": ["<think>First, I can add 8 and 23 to get 31. Then, I can subtract 9 from 31 to get 2. Finally, I can divide 2 by 6 to get the result.</think>\n<final_answer>\nStep 1: 8 + 23 = 31\nStep 2: 31 - 9 = 22\nStep 3: 22 / 6 = 3.6667\n</final_answer>\n\nHowever, since the assistant is a machine and do... | null |
40 | {"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': '<think>First, I need to think of a way to use the numbers 15, 12, and 10 to get a sum of 13. One way is to add 5 and subtract 2, which results in 3. Then, multiply 2 and 4 to get 8. Finally, add 5 and subtract 2 to get 3, which is not correct. Let me try again.</think>\\n<think>Second try: I will add... | ["{'generation': '<think>First, I need to think of a way to use the numbers 15, 12, and 10 to get a sum of 13. One way is to add 5 and subtract 2, which results in 3. Then, multiply 2 and 4 to get 8. Finally, add 5 and subtract 2 to get 3, which is not correct. Let me try again.</think>\\n<think>Second try: I will add ... | 05f0d33714099cc656acf8c8eb68719411b73df92d0a070b3dc097d1897fa282 | 9182372ee604d8332a7f3e9623e2461b466d8b780a7500a2dd61955e54796104 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 15, 12, and 10 to get a sum of 13. One way is to add 5 and subtract 2, which results in 3. Then, multiply 2 and 4 to get 8. Finally, add 5 and subtract 2 to get 3, which is not correct. Let me try again.</think>\n<think>Second try: I will add 5 and subtract 2 ... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 15, 12, and 10 to get a sum of 13. One way is to add 5 and subtract 2, which results in 3. Then, multiply 2 and 4 to get 8. Finally, add 5 and subtract 2 to get 3, which is not correct. Let me try again.</think>\n<think>Second try: I ... | null |
41 | {"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': \"<think>First, I can add 9 and 2 to get 11. Then, I can add 4 to 11 to get 15. Finally, I can subtract 20 from 15 to get 17.</think>\\n<final_answer>\\nStep 1: 9 + 2 = 11\\nStep 2: 11 + 4 = 15\\nStep 3: 15 - 20 = -5\\n</final_answer>\\n\\nBut I need to adjust this to fit the requirement of the task. ... | ["{'generation': \"<think>First, I can add 9 and 2 to get 11. Then, I can add 4 to 11 to get 15. Finally, I can subtract 20 from 15 to get 17.</think>\\n<final_answer>\\nStep 1: 9 + 2 = 11\\nStep 2: 11 + 4 = 15\\nStep 3: 15 - 20 = -5\\n</final_answer>\\n\\nBut I need to adjust this to fit the requirement of the task. T... | 0315f9a1c2b6e1bfbf8a8edbef44189839e111a96f251ea8c1e4116c60fd5cee | e9cafd581fb89d08a111dd7726405d183419160dd52f6dd12be72064f6226e87 | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 9 and 2 to get 11. Then, I can add 4 to 11 to get 15. Finally, I can subtract 20 from 15 to get 17.</think>\n<final_answer>\nStep 1: 9 + 2 = 11\nStep 2: 11 + 4 = 15\nStep 3: 15 - 20 = -5\n</final_answer>\n\nBut I need to adjust this to fit the requirement of the task. The task asks for a final... | [{"budget_forced_chunks": ["<think>First, I can add 9 and 2 to get 11. Then, I can add 4 to 11 to get 15. Finally, I can subtract 20 from 15 to get 17.</think>\n<final_answer>\nStep 1: 9 + 2 = 11\nStep 2: 11 + 4 = 15\nStep 3: 15 - 20 = -5\n</final_answer>\n\nBut I need to adjust this to fit the requirement of the task.... | null |
42 | {"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... | 23 | {"gen_args_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': \"<think>First, I can add 11 and 14 to get 25. Then, I can subtract 20 from 25 to get the desired result of 23.</think> \\n<final_answer>\\nStep 1: 11 + 14 = 25\\nStep 2: 25 - 20 = 5\\n</final_answer>\\n\\nThe answer is: <answer>5</answer>.\\n\\nBut to confirm, here's a possible solution that uses th... | ["{'generation': \"<think>First, I can add 11 and 14 to get 25. Then, I can subtract 20 from 25 to get the desired result of 23.</think> \\n<final_answer>\\nStep 1: 11 + 14 = 25\\nStep 2: 25 - 20 = 5\\n</final_answer>\\n\\nThe answer is: <answer>5</answer>.\\n\\nBut to confirm, here's a possible solution that uses the... | e7235818189cee9d7974085c723f8c0c6789bf34cec743ad9090eeb5a74018c5 | 2a9d2117ec015b63c5be448e3dbe6c88b99d39f86ca94ccadf2e18578a6d5348 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 11 and 14 to get 25. Then, I can subtract 20 from 25 to get the desired result of 23.</think> \n<final_answer>\nStep 1: 11 + 14 = 25\nStep 2: 25 - 20 = 5\n</final_answer>\n\nThe answer is: <answer>5</answer>.\n\nBut to confirm, here's a possible solution that uses the numbers [11, 14, 20] exa... | [{"budget_forced_chunks": ["<think>First, I can add 11 and 14 to get 25. Then, I can subtract 20 from 25 to get the desired result of 23.</think> \n<final_answer>\nStep 1: 11 + 14 = 25\nStep 2: 25 - 20 = 5\n</final_answer>\n\nThe answer is: <answer>5</answer>.\n\nBut to confirm, here's a possible solution that uses th... | null |
43 | {"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': \"<think>First, I can use the number 14 - 1 to get the number 13. So the equation would be: \\\\(14 - 1 = 13\\\\). However, the assistant asked for an equation using the numbers [14, 1], so this isn't valid. Let me try again using both numbers: \\\\(14 \\\\times 1 = 14\\\\), but 14 is not equal to 13.... | ["{'generation': \"<think>First, I can use the number 14 - 1 to get the number 13. So the equation would be: \\\\(14 - 1 = 13\\\\). However, the assistant asked for an equation using the numbers [14, 1], so this isn't valid. Let me try again using both numbers: \\\\(14 \\\\times 1 = 14\\\\), but 14 is not equal to 13. ... | 28e1ffdd0700740151dde731e2bc7f7be8ed38e3f23333aa4e32bdaf61e5c613 | 690588146313ddc71ac5b6291a01a87d0b2a32176a8c9a537f84786c08a82d55 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 1 | [true] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can use the number 14 - 1 to get the number 13. So the equation would be: \\(14 - 1 = 13\\). However, the assistant asked for an equation using the numbers [14, 1], so this isn't valid. Let me try again using both numbers: \\(14 \\times 1 = 14\\), but 14 is not equal to 13. I need to use the subtracti... | [{"budget_forced_chunks": ["<think>First, I can use the number 14 - 1 to get the number 13. So the equation would be: \\(14 - 1 = 13\\). However, the assistant asked for an equation using the numbers [14, 1], so this isn't valid. Let me try again using both numbers: \\(14 \\times 1 = 14\\), but 14 is not equal to 13. I... | null |
44 | {"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... | 16 | {"gen_args_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': \"<think>First, I need to think of a way to combine these numbers (22, 4, 24, 10) that equals 16. One way could be to multiply two of the numbers and then add or subtract the third number to make 16. Let's try multiplying 22 and 4 first:</think>\\n<final_answer>\\nStep 1: 22 * 4 = 88\\nStep 2: 88 + 24... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers (22, 4, 24, 10) that equals 16. One way could be to multiply two of the numbers and then add or subtract the third number to make 16. Let's try multiplying 22 and 4 first:</think>\\n<final_answer>\\nStep 1: 22 * 4 = 88\\nStep 2: 88 + 24 ... | f3ddb34578e5f09132211961a1dd13853a41d2af86f1ac3cd4b520c9ccb55208 | 57ea06bd045d0c6c2eabfc9b26bc35cee2eb052a39546f25cd77f7c587a22742 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to combine these numbers (22, 4, 24, 10) that equals 16. One way could be to multiply two of the numbers and then add or subtract the third number to make 16. Let's try multiplying 22 and 4 first:</think>\n<final_answer>\nStep 1: 22 * 4 = 88\nStep 2: 88 + 24 = 112 (This doesn't ... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers (22, 4, 24, 10) that equals 16. One way could be to multiply two of the numbers and then add or subtract the third number to make 16. Let's try multiplying 22 and 4 first:</think>\n<final_answer>\nStep 1: 22 * 4 = 88\nStep 2: 88... | null |
45 | {"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... | 19 | {"gen_args_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': \"<think>First, I can add 7 and 14 to get 21. Then, I can add 22 to 21 to get 43. Finally, I can subtract 13 from 43 to get 30.</think>\\n<final_answer>\\nStep 1: 7 + 14 = 21\\nStep 2: 21 + 22 = 43\\nStep 3: 43 - 13 = 30\\n</final_answer>\\n\\nThe answer is 30.\\n\\nWait, let me try this again. Here's... | ["{'generation': \"<think>First, I can add 7 and 14 to get 21. Then, I can add 22 to 21 to get 43. Finally, I can subtract 13 from 43 to get 30.</think>\\n<final_answer>\\nStep 1: 7 + 14 = 21\\nStep 2: 21 + 22 = 43\\nStep 3: 43 - 13 = 30\\n</final_answer>\\n\\nThe answer is 30.\\n\\nWait, let me try this again. Here's ... | d4148b73faad89dbbacfe944ac9870b26bc7780bfe26b5b6cc5809cc5575df84 | ef8dc21e0133a2b6e6a1e76ca7547457a5f356117bdb5c02d1d1b0f3e2d30c9a | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 7 and 14 to get 21. Then, I can add 22 to 21 to get 43. Finally, I can subtract 13 from 43 to get 30.</think>\n<final_answer>\nStep 1: 7 + 14 = 21\nStep 2: 21 + 22 = 43\nStep 3: 43 - 13 = 30\n</final_answer>\n\nThe answer is 30.\n\nWait, let me try this again. Here's my thought process:\n\n1. ... | [{"budget_forced_chunks": ["<think>First, I can add 7 and 14 to get 21. Then, I can add 22 to 21 to get 43. Finally, I can subtract 13 from 43 to get 30.</think>\n<final_answer>\nStep 1: 7 + 14 = 21\nStep 2: 21 + 22 = 43\nStep 3: 43 - 13 = 30\n</final_answer>\n\nThe answer is 30.\n\nWait, let me try this again. Here's ... | null |
46 | {"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... | 15 | {"gen_args_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': \"<think>First, I can add 10 and 13 to get 23. Then, I can subtract 18 from 23 to get -5. Finally, I can add 1 to -5 to get -4. So the equation is: (10 + 13) - 18 + 1 = 15</think> \\n<answer>(10 + 13) - 18 + 1 = 15</answer>\\n\\nBut I need to verify this. Let me do it step by step: \\n1. Start with ... | ["{'generation': \"<think>First, I can add 10 and 13 to get 23. Then, I can subtract 18 from 23 to get -5. Finally, I can add 1 to -5 to get -4. So the equation is: (10 + 13) - 18 + 1 = 15</think> \\n<answer>(10 + 13) - 18 + 1 = 15</answer>\\n\\nBut I need to verify this. Let me do it step by step: \\n1. Start with 1... | f31d25479cb0879c1e473db5654734110af6012c3dec6787a432841c1e9f5e14 | c56e96674fbf187c3876e536b5237e294f4469f36773c316a0e604a3e5091630 | e629fa6598d732768f7c726b4b621285f9c3b85303900aa912017db7617d8bdb | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 10 and 13 to get 23. Then, I can subtract 18 from 23 to get -5. Finally, I can add 1 to -5 to get -4. So the equation is: (10 + 13) - 18 + 1 = 15</think> \n<answer>(10 + 13) - 18 + 1 = 15</answer>\n\nBut I need to verify this. Let me do it step by step: \n1. Start with 10 \n2. Add 13, which... | [{"budget_forced_chunks": ["<think>First, I can add 10 and 13 to get 23. Then, I can subtract 18 from 23 to get -5. Finally, I can add 1 to -5 to get -4. So the equation is: (10 + 13) - 18 + 1 = 15</think> \n<answer>(10 + 13) - 18 + 1 = 15</answer>\n\nBut I need to verify this. Let me do it step by step: \n1. Start w... | null |
47 | {"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... | 19 | {"gen_args_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': '<think>First, I need to find a way to combine the given numbers to reach the target number, which is 19 in this case.</think>\\n<final_answer>\\nStep 1: Try adding the largest numbers first to keep the equation simple.\\nStep 2: 10 + 17 = 27, which is too large, so we need to adjust.\\nStep 3: 10 + 1... | ["{'generation': '<think>First, I need to find a way to combine the given numbers to reach the target number, which is 19 in this case.</think>\\n<final_answer>\\nStep 1: Try adding the largest numbers first to keep the equation simple.\\nStep 2: 10 + 17 = 27, which is too large, so we need to adjust.\\nStep 3: 10 + 17... | ec4723d791e04df97fc68140b01e5c04f54ca9d2222922ec78e3489918e89a8d | 9e01c4026ea50c024f81b0b26b4133645ef725dd9cc13cf176c1e650623b1007 | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to find a way to combine the given numbers to reach the target number, which is 19 in this case.</think>\n<final_answer>\nStep 1: Try adding the largest numbers first to keep the equation simple.\nStep 2: 10 + 17 = 27, which is too large, so we need to adjust.\nStep 3: 10 + 17 = 27 (this is incor... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers to reach the target number, which is 19 in this case.</think>\n<final_answer>\nStep 1: Try adding the largest numbers first to keep the equation simple.\nStep 2: 10 + 17 = 27, which is too large, so we need to adjust.\nStep 3: 1... | null |
48 | {"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... | 20 | {"gen_args_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': \"<think>First, I can add 16 and 13 to get 39. Then, I can subtract 23 from 39 to get 16. Finally, I can subtract 23 from 16 to get the answer.</think> \\n<final_answer>\\nStep 1: 16 + 13 = 29\\nStep 2: 39 - 23 = 16\\nStep 3: 16 - 23 = -7\\n</final_answer>\\n\\nThe answer is -7.\\n\\nWait, let me try... | ["{'generation': \"<think>First, I can add 16 and 13 to get 39. Then, I can subtract 23 from 39 to get 16. Finally, I can subtract 23 from 16 to get the answer.</think> \\n<final_answer>\\nStep 1: 16 + 13 = 29\\nStep 2: 39 - 23 = 16\\nStep 3: 16 - 23 = -7\\n</final_answer>\\n\\nThe answer is -7.\\n\\nWait, let me try ... | 8e5566982343c0690d90c6bac61b52d7dfb907ee9c94df525e5757c4c97c4262 | db237d201578701780659ed1aef2b60d06c349d2cd605d35b9c43e344346a198 | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 16 and 13 to get 39. Then, I can subtract 23 from 39 to get 16. Finally, I can subtract 23 from 16 to get the answer.</think> \n<final_answer>\nStep 1: 16 + 13 = 29\nStep 2: 39 - 23 = 16\nStep 3: 16 - 23 = -7\n</final_answer>\n\nThe answer is -7.\n\nWait, let me try this again. Here's my thou... | [{"budget_forced_chunks": ["<think>First, I can add 16 and 13 to get 39. Then, I can subtract 23 from 39 to get 16. Finally, I can subtract 23 from 16 to get the answer.</think> \n<final_answer>\nStep 1: 16 + 13 = 29\nStep 2: 39 - 23 = 16\nStep 3: 16 - 23 = -7\n</final_answer>\n\nThe answer is -7.\n\nWait, let me try ... | null |
49 | {"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... | 22 | {"gen_args_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': '<think>First, I can add 6 and 14 to get 20. Then, I can subtract 8 from 20 to get a result of 12. Finally, I can divide 12 by 6 to get a result of 2. The equation that equals 22 is: (6 + 14) * (20 - 8) / 6 = 22.</think> \\n<answer>(6 + 14) * (20 - 8) / 6 = 22</answer>\\n\\nBut to confirm, here\\'s ho... | ["{'generation': '<think>First, I can add 6 and 14 to get 20. Then, I can subtract 8 from 20 to get a result of 12. Finally, I can divide 12 by 6 to get a result of 2. The equation that equals 22 is: (6 + 14) * (20 - 8) / 6 = 22.</think> \\n<answer>(6 + 14) * (20 - 8) / 6 = 22</answer>\\n\\nBut to confirm, here\\'s how... | 7aca7383c6015b2caa3691a0ea9a88ce61a224cc7fa4480f98bb178f67b3699a | abf814c17e6c9998a882dedeb9fefd5d9744207da8310ec3fe141485c9b0cece | 785f3ec7eb32f30b90cd0fcf3657d388b5ff4297f2f9716ff66e9b69c05ddd09 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 6 and 14 to get 20. Then, I can subtract 8 from 20 to get a result of 12. Finally, I can divide 12 by 6 to get a result of 2. The equation that equals 22 is: (6 + 14) * (20 - 8) / 6 = 22.</think> \n<answer>(6 + 14) * (20 - 8) / 6 = 22</answer>\n\nBut to confirm, here's how you can break it dow... | [{"budget_forced_chunks": ["<think>First, I can add 6 and 14 to get 20. Then, I can subtract 8 from 20 to get a result of 12. Finally, I can divide 12 by 6 to get a result of 2. The equation that equals 22 is: (6 + 14) * (20 - 8) / 6 = 22.</think> \n<answer>(6 + 14) * (20 - 8) / 6 = 22</answer>\n\nBut to confirm, here'... | null |
50 | {"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': \"<think>First, I can add 15 and 22 to get 37. Then, I can subtract 17 from 37 to get the final result of 10. So the equation would be: (15 + 22) - 17 = 10.</think> \\n<answer>(15 + 22) - 17 = 10</answer>\\n\\nBut I need to verify this. Let me do it step by step: \\n<think> \\n1. Addition: 15 + 22 ... | ["{'generation': \"<think>First, I can add 15 and 22 to get 37. Then, I can subtract 17 from 37 to get the final result of 10. So the equation would be: (15 + 22) - 17 = 10.</think> \\n<answer>(15 + 22) - 17 = 10</answer>\\n\\nBut I need to verify this. Let me do it step by step: \\n<think> \\n1. Addition: 15 + 22 =... | 47bac1a2342eda30692108659694e008e612521cbc54ffec54c8d5678789649a | 370dcedf0dfcaeedd84655684cc6bd37cdacaa0a8e5c4038cfa6e6c882e61060 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 15 and 22 to get 37. Then, I can subtract 17 from 37 to get the final result of 10. So the equation would be: (15 + 22) - 17 = 10.</think> \n<answer>(15 + 22) - 17 = 10</answer>\n\nBut I need to verify this. Let me do it step by step: \n<think> \n1. Addition: 15 + 22 = 37 \n2. Subtraction:... | [{"budget_forced_chunks": ["<think>First, I can add 15 and 22 to get 37. Then, I can subtract 17 from 37 to get the final result of 10. So the equation would be: (15 + 22) - 17 = 10.</think> \n<answer>(15 + 22) - 17 = 10</answer>\n\nBut I need to verify this. Let me do it step by step: \n<think> \n1. Addition: 15 + ... | null |
51 | {"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... | 20 | {"gen_args_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': \"<think>First, I can add 15 and 5 to get 20. But then I don't have a 2 left to use. Next, I can multiply 20 by 2 to get 40, and then add 10 to get 20. This uses up all the numbers I was given. One final try: I can multiply 15 and 2 to get 30, and then add 10 to get 20. This uses up all the numbers I ... | ["{'generation': \"<think>First, I can add 15 and 5 to get 20. But then I don't have a 2 left to use. Next, I can multiply 20 by 2 to get 40, and then add 10 to get 20. This uses up all the numbers I was given. One final try: I can multiply 15 and 2 to get 30, and then add 10 to get 20. This uses up all the numbers I w... | e4cb65e43bd8799efe66b31342b571b532d5932afb20b4d16854be908cddc019 | d4c729d6184e5dc678411950de66cc83e11b46733769289afddd5ec13f2cf251 | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 15 and 5 to get 20. But then I don't have a 2 left to use. Next, I can multiply 20 by 2 to get 40, and then add 10 to get 20. This uses up all the numbers I was given. One final try: I can multiply 15 and 2 to get 30, and then add 10 to get 20. This uses up all the numbers I was given. I'm sor... | [{"budget_forced_chunks": ["<think>First, I can add 15 and 5 to get 20. But then I don't have a 2 left to use. Next, I can multiply 20 by 2 to get 40, and then add 10 to get 20. This uses up all the numbers I was given. One final try: I can multiply 15 and 2 to get 30, and then add 10 to get 20. This uses up all the nu... | null |
52 | {"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... | 23 | {"gen_args_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': \"<think>First, I can try to find a combination of operations that can be applied to the numbers 18, 15, 6, and 24 to yield the result 23. One possible way is to start by dividing 24 by 6, which gives us 4. Then, we can subtract 15 from 23 to get 8. Finally, we can add 18 to 8 to get 26. So the equati... | ["{'generation': \"<think>First, I can try to find a combination of operations that can be applied to the numbers 18, 15, 6, and 24 to yield the result 23. One possible way is to start by dividing 24 by 6, which gives us 4. Then, we can subtract 15 from 23 to get 8. Finally, we can add 18 to 8 to get 26. So the equatio... | 0dfd5c9b6911ee38ebcccfadea25fddef45481b0c639fa3795b35370f5d06ab6 | 10ed909db1dc7a655b9955cfebb2c5726d50b43576625d7b2e9e724c8580d160 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can try to find a combination of operations that can be applied to the numbers 18, 15, 6, and 24 to yield the result 23. One possible way is to start by dividing 24 by 6, which gives us 4. Then, we can subtract 15 from 23 to get 8. Finally, we can add 18 to 8 to get 26. So the equation could be: 24 \u... | [{"budget_forced_chunks": ["<think>First, I can try to find a combination of operations that can be applied to the numbers 18, 15, 6, and 24 to yield the result 23. One possible way is to start by dividing 24 by 6, which gives us 4. Then, we can subtract 15 from 23 to get 8. Finally, we can add 18 to 8 to get 26. So th... | null |
53 | {"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... | 25 | {"gen_args_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': \"<think>First, I can add 17 and 16 to get 33. Then, I can subtract 8 from 33 to get the desired result of 25.</think> \\n<final_answer>\\nStep 1: 17 + 16 = 33\\nStep 2: 33 - 8 = 25\\n<answer>25</answer>\\n</final_answer>\\n\\nBut according to the assistant's previous statement, the correct equation ... | ["{'generation': \"<think>First, I can add 17 and 16 to get 33. Then, I can subtract 8 from 33 to get the desired result of 25.</think> \\n<final_answer>\\nStep 1: 17 + 16 = 33\\nStep 2: 33 - 8 = 25\\n<answer>25</answer>\\n</final_answer>\\n\\nBut according to the assistant's previous statement, the correct equation s... | a0bbf926e8f85501032b4b6c203376301dda401daa39981885d3c09c4387a5cd | 1f6cc0a799203fca5c7ad993c753db7ebcc9bed4af86c541129c9788b48602c0 | b7a56873cd771f2c446d369b649430b65a756ba278ff97ec81bb6f55b2e73569 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 17 and 16 to get 33. Then, I can subtract 8 from 33 to get the desired result of 25.</think> \n<final_answer>\nStep 1: 17 + 16 = 33\nStep 2: 33 - 8 = 25\n<answer>25</answer>\n</final_answer>\n\nBut according to the assistant's previous statement, the correct equation should be:\n\n<think>Firs... | [{"budget_forced_chunks": ["<think>First, I can add 17 and 16 to get 33. Then, I can subtract 8 from 33 to get the desired result of 25.</think> \n<final_answer>\nStep 1: 17 + 16 = 33\nStep 2: 33 - 8 = 25\n<answer>25</answer>\n</final_answer>\n\nBut according to the assistant's previous statement, the correct equation... | null |
54 | {"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': \"<think>First, I can add 8 and 13 to get 21. Then, I can add 23 to 21 to get 44. However, this uses 23 twice, so that isn't allowed. Instead, I'll multiply 23 by 2 to get 46. Now I have the numbers 8, 13, and 46 to work with. If I subtract 13 from 8, I get -5. If I subtract 13 from 46, I get 33. To b... | ["{'generation': \"<think>First, I can add 8 and 13 to get 21. Then, I can add 23 to 21 to get 44. However, this uses 23 twice, so that isn't allowed. Instead, I'll multiply 23 by 2 to get 46. Now I have the numbers 8, 13, and 46 to work with. If I subtract 13 from 8, I get -5. If I subtract 13 from 46, I get 33. To ba... | c5077f8f4a57d4767d513fa0140bb28369b0d97abe9081405ec1ce4977de6977 | e089014c0c72e03c6f566a420ec27695fdf2cf37476b848f24bcd9cd7b103b2c | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 8 and 13 to get 21. Then, I can add 23 to 21 to get 44. However, this uses 23 twice, so that isn't allowed. Instead, I'll multiply 23 by 2 to get 46. Now I have the numbers 8, 13, and 46 to work with. If I subtract 13 from 8, I get -5. If I subtract 13 from 46, I get 33. To balance this equati... | [{"budget_forced_chunks": ["<think>First, I can add 8 and 13 to get 21. Then, I can add 23 to 21 to get 44. However, this uses 23 twice, so that isn't allowed. Instead, I'll multiply 23 by 2 to get 46. Now I have the numbers 8, 13, and 46 to work with. If I subtract 13 from 8, I get -5. If I subtract 13 from 46, I get ... | null |
55 | {"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... | 14 | {"gen_args_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': \"<think>First, I can use 3 * 14 to start, since three is the number that appears most frequently. This gives me 42. Next, I need to subtract 11 from 42, since the 11 is the number that appears second most frequently. This gives me 31. Finally, I need to add 14 to 31, since the 14 is the number that a... | ["{'generation': \"<think>First, I can use 3 * 14 to start, since three is the number that appears most frequently. This gives me 42. Next, I need to subtract 11 from 42, since the 11 is the number that appears second most frequently. This gives me 31. Finally, I need to add 14 to 31, since the 14 is the number that ap... | d52f1030f65184c430fb7423fea9454bcefcbc2dd8a80a98709d4fd82e33ff99 | 1ef05c7aaa7694efc259416e25c7e5610f7a9467e8c47827e59eb90e80c7ced2 | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can use 3 * 14 to start, since three is the number that appears most frequently. This gives me 42. Next, I need to subtract 11 from 42, since the 11 is the number that appears second most frequently. This gives me 31. Finally, I need to add 14 to 31, since the 14 is the number that appears third most ... | [{"budget_forced_chunks": ["<think>First, I can use 3 * 14 to start, since three is the number that appears most frequently. This gives me 42. Next, I need to subtract 11 from 42, since the 11 is the number that appears second most frequently. This gives me 31. Finally, I need to add 14 to 31, since the 14 is the numbe... | null |
56 | {"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': \"<think>First, I can add 19 and 5 to get 24 using the numbers given.</think>\\n<final_answer>\\nStep 1: 19 + 5 = 24\\n</final_answer>\\n\\nWait, how? I need to use each number only once and the operations must be basic.\\n\\nAnother approach: Multiply 19 by 2 to get 38, then subtract 1 to get 24 usin... | ["{'generation': \"<think>First, I can add 19 and 5 to get 24 using the numbers given.</think>\\n<final_answer>\\nStep 1: 19 + 5 = 24\\n</final_answer>\\n\\nWait, how? I need to use each number only once and the operations must be basic.\\n\\nAnother approach: Multiply 19 by 2 to get 38, then subtract 1 to get 24 using... | 4adbd29da982f2d2d00599ad14573dc4c8eb945e3de91b443e8b27003bd52042 | 9eed663edc29ed6d7f3f24e24519ddadb989ae3ec75476c63f62b5bf8f4a57e5 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 19 and 5 to get 24 using the numbers given.</think>\n<final_answer>\nStep 1: 19 + 5 = 24\n</final_answer>\n\nWait, how? I need to use each number only once and the operations must be basic.\n\nAnother approach: Multiply 19 by 2 to get 38, then subtract 1 to get 24 using the remaining numbers [... | [{"budget_forced_chunks": ["<think>First, I can add 19 and 5 to get 24 using the numbers given.</think>\n<final_answer>\nStep 1: 19 + 5 = 24\n</final_answer>\n\nWait, how? I need to use each number only once and the operations must be basic.\n\nAnother approach: Multiply 19 by 2 to get 38, then subtract 1 to get 24 usi... | null |
57 | {"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... | 22 | {"gen_args_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': \"<think>First, I can add 8 and 16 to get 24. Then, I can subtract 8 from that sum to get 16. This set of operations uses each number exactly once.</think> \\n<final_answer>\\nStep 1: 20 + 8 = 28\\nStep 2: 28 - 16 = 12\\n</final_answer>\\n\\nHowever, the target number was given as 22, not 28. This me... | ["{'generation': \"<think>First, I can add 8 and 16 to get 24. Then, I can subtract 8 from that sum to get 16. This set of operations uses each number exactly once.</think> \\n<final_answer>\\nStep 1: 20 + 8 = 28\\nStep 2: 28 - 16 = 12\\n</final_answer>\\n\\nHowever, the target number was given as 22, not 28. This mea... | ebbe613099da63d1b55291f4b798ae73a232d8c4af2d918301eff2a8d08b9f58 | 76eaccefd1c4e5886e4057d7b18e969a4a9600226f4b26e60d6ef61df962b611 | 785f3ec7eb32f30b90cd0fcf3657d388b5ff4297f2f9716ff66e9b69c05ddd09 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 8 and 16 to get 24. Then, I can subtract 8 from that sum to get 16. This set of operations uses each number exactly once.</think> \n<final_answer>\nStep 1: 20 + 8 = 28\nStep 2: 28 - 16 = 12\n</final_answer>\n\nHowever, the target number was given as 22, not 28. This means I made an error in m... | [{"budget_forced_chunks": ["<think>First, I can add 8 and 16 to get 24. Then, I can subtract 8 from that sum to get 16. This set of operations uses each number exactly once.</think> \n<final_answer>\nStep 1: 20 + 8 = 28\nStep 2: 28 - 16 = 12\n</final_answer>\n\nHowever, the target number was given as 22, not 28. This ... | null |
58 | {"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': '<think>First, I can add 13 and 24 to get 37. Then, I can subtract 6 from 37 to get 31. Finally, I can divide 31 by 15 to get the result.</think>\\n<final_answer>\\nStep 1: 13 + 24 = 37\\nStep 2: 37 - 6 = 31\\nStep 3: 31 / 15 = 2.0666666666666665\\n</final_answer>\\n<answer>2.0666666666666665</answer>... | ["{'generation': '<think>First, I can add 13 and 24 to get 37. Then, I can subtract 6 from 37 to get 31. Finally, I can divide 31 by 15 to get the result.</think>\\n<final_answer>\\nStep 1: 13 + 24 = 37\\nStep 2: 37 - 6 = 31\\nStep 3: 31 / 15 = 2.0666666666666665\\n</final_answer>\\n<answer>2.0666666666666665</answer>\... | 4b8548a181e3a8daf0e5e5ef30f90b7996f6638d2697da69aefcccd58369ccc7 | 0f18306e93c6b30451422876db152449239137bebb974cc06ae779d1c0cc45a4 | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 13 and 24 to get 37. Then, I can subtract 6 from 37 to get 31. Finally, I can divide 31 by 15 to get the result.</think>\n<final_answer>\nStep 1: 13 + 24 = 37\nStep 2: 37 - 6 = 31\nStep 3: 31 / 15 = 2.0666666666666665\n</final_answer>\n<answer>2.0666666666666665</answer>\n\nBut to confirm, let... | [{"budget_forced_chunks": ["<think>First, I can add 13 and 24 to get 37. Then, I can subtract 6 from 37 to get 31. Finally, I can divide 31 by 15 to get the result.</think>\n<final_answer>\nStep 1: 13 + 24 = 37\nStep 2: 37 - 6 = 31\nStep 3: 31 / 15 = 2.0666666666666665\n</final_answer>\n<answer>2.0666666666666665</answ... | null |
59 | {"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... | 14 | {"gen_args_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': \"<think>First, I need to find a way to combine the numbers 18, 1, 13, and 19 to get a sum of 14. One way to do this is to subtract 19 - 1 = 18, and then add 18 + 1 = 19, but that doesn't use all the numbers. The correct combination is to subtract 19 - 3 = 16, and then add 16 + 1 = 17, but that still ... | ["{'generation': \"<think>First, I need to find a way to combine the numbers 18, 1, 13, and 19 to get a sum of 14. One way to do this is to subtract 19 - 1 = 18, and then add 18 + 1 = 19, but that doesn't use all the numbers. The correct combination is to subtract 19 - 3 = 16, and then add 16 + 1 = 17, but that still d... | 82ea3a7e9d54b8c6427e04636e9e192f8eb8392c2bc9348c8bd169df6d6bab64 | d614d87b12fd03757ecddaaea21bceeba9aa9f77bb48c213e2338a8722b4f0fb | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to find a way to combine the numbers 18, 1, 13, and 19 to get a sum of 14. One way to do this is to subtract 19 - 1 = 18, and then add 18 + 1 = 19, but that doesn't use all the numbers. The correct combination is to subtract 19 - 3 = 16, and then add 16 + 1 = 17, but that still doesn't use all th... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the numbers 18, 1, 13, and 19 to get a sum of 14. One way to do this is to subtract 19 - 1 = 18, and then add 18 + 1 = 19, but that doesn't use all the numbers. The correct combination is to subtract 19 - 3 = 16, and then add 16 + 1 = 17, but tha... | null |
60 | {"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... | 10 | {"gen_args_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': \"<think>First, I need to think of a way to use the numbers 6, 2, 9, and 13 to reach the target number 10. One way is to add the first two numbers and then subtract the third number. This is because 6 + 2 = 8, and 8 - 9 = -1, which is not our target. We need to try another operation.</think>\\n<think>... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 6, 2, 9, and 13 to reach the target number 10. One way is to add the first two numbers and then subtract the third number. This is because 6 + 2 = 8, and 8 - 9 = -1, which is not our target. We need to try another operation.</think>\\n<think>I... | 04ec0523052570eab42f5d4df2df12752b6040a530a17ab530c1a34b68932cc3 | a07b20493b2474140724f67ad0df567fa239ed4d890a1d12451e43c0282a8060 | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 6, 2, 9, and 13 to reach the target number 10. One way is to add the first two numbers and then subtract the third number. This is because 6 + 2 = 8, and 8 - 9 = -1, which is not our target. We need to try another operation.</think>\n<think>I will try multiply... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 6, 2, 9, and 13 to reach the target number 10. One way is to add the first two numbers and then subtract the third number. This is because 6 + 2 = 8, and 8 - 9 = -1, which is not our target. We need to try another operation.</think>\n... | null |
61 | {"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... | 20 | {"gen_args_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': \"<think>First, I can add 9 and 3 to get 12. Then, I can add 14 and 12 to get the desired result of 20.</think> \\n<final_answer>\\nStep 1: 14 + 9 = 23\\nStep 2: 23 + 3 = 26\\n</final_answer>\\n\\nThe answer is: <answer>26</answer>.\\n\\nWait, this result is incorrect. Let me try again. I'll multiply... | ["{'generation': \"<think>First, I can add 9 and 3 to get 12. Then, I can add 14 and 12 to get the desired result of 20.</think> \\n<final_answer>\\nStep 1: 14 + 9 = 23\\nStep 2: 23 + 3 = 26\\n</final_answer>\\n\\nThe answer is: <answer>26</answer>.\\n\\nWait, this result is incorrect. Let me try again. I'll multiply ... | 886ed5f2b6b1ec35a422c1358478609a118536357450e8ce400e8f59fb3d572e | b2487dd970bb8721f302d46b97240e180f65fa3b6e19ad7c2ebf5771d607f653 | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 9 and 3 to get 12. Then, I can add 14 and 12 to get the desired result of 20.</think> \n<final_answer>\nStep 1: 14 + 9 = 23\nStep 2: 23 + 3 = 26\n</final_answer>\n\nThe answer is: <answer>26</answer>.\n\nWait, this result is incorrect. Let me try again. I'll multiply 9 by 3 first, then add 14... | [{"budget_forced_chunks": ["<think>First, I can add 9 and 3 to get 12. Then, I can add 14 and 12 to get the desired result of 20.</think> \n<final_answer>\nStep 1: 14 + 9 = 23\nStep 2: 23 + 3 = 26\n</final_answer>\n\nThe answer is: <answer>26</answer>.\n\nWait, this result is incorrect. Let me try again. I'll multiply... | null |
62 | {"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... | 25 | {"gen_args_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': \"<think>First, I can add 21 and 3 to get 24. Then, I can add 8 to 24 to get 32. Finally, I can subtract 12 from 32 to get 20.</think>\\n<final_answer>\\nStep 1: 21 + 3 = 24\\nStep 2: 8 + 24 = 32\\nStep 3: 32 - 12 = 20\\n</final_answer>\\n\\nThe answer is 20.\\n\\nWait, this result is not correct. Let... | ["{'generation': \"<think>First, I can add 21 and 3 to get 24. Then, I can add 8 to 24 to get 32. Finally, I can subtract 12 from 32 to get 20.</think>\\n<final_answer>\\nStep 1: 21 + 3 = 24\\nStep 2: 8 + 24 = 32\\nStep 3: 32 - 12 = 20\\n</final_answer>\\n\\nThe answer is 20.\\n\\nWait, this result is not correct. Let ... | 14bf1806f088e8b1c20121adc93dbe473a7bbc73cf92a5fec9a74e104fa45d4b | 99a22a74fff81f8c48fa2dafb4921d6437452b79c4215850b3b783316fe6ca3c | b7a56873cd771f2c446d369b649430b65a756ba278ff97ec81bb6f55b2e73569 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 21 and 3 to get 24. Then, I can add 8 to 24 to get 32. Finally, I can subtract 12 from 32 to get 20.</think>\n<final_answer>\nStep 1: 21 + 3 = 24\nStep 2: 8 + 24 = 32\nStep 3: 32 - 12 = 20\n</final_answer>\n\nThe answer is 20.\n\nWait, this result is not correct. Let me try again. \n\n<think>O... | [{"budget_forced_chunks": ["<think>First, I can add 21 and 3 to get 24. Then, I can add 8 to 24 to get 32. Finally, I can subtract 12 from 32 to get 20.</think>\n<final_answer>\nStep 1: 21 + 3 = 24\nStep 2: 8 + 24 = 32\nStep 3: 32 - 12 = 20\n</final_answer>\n\nThe answer is 20.\n\nWait, this result is not correct. Let ... | null |
63 | {"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... | 11 | {"gen_args_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': \"<think>First, I can try to use the operations to combine the numbers in a way that equals 11. One possible way is to multiply 20 by 1 to get 20, then add 8 + 7 - 1 to get 11. This gives us the equation: 20 + (8 + 7 - 1).</think>\\n<final_answer>\\nStep 1: 20 + 8 = 28\\nStep 2: 28 + 7 = 35\\nStep 3: ... | ["{'generation': \"<think>First, I can try to use the operations to combine the numbers in a way that equals 11. One possible way is to multiply 20 by 1 to get 20, then add 8 + 7 - 1 to get 11. This gives us the equation: 20 + (8 + 7 - 1).</think>\\n<final_answer>\\nStep 1: 20 + 8 = 28\\nStep 2: 28 + 7 = 35\\nStep 3: 3... | 05f8a72d36e87d7a5c71b839f12b84d258f67ed7ae386e28611b3519219b525e | c674bf199104dc45f397037060b82bed9ca09d088e60a8318b2aa7f82f573d61 | 4fc82b26aecb47d2868c4efbe3581732a3e7cbcc6c2efb32062c08170a05eeb8 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can try to use the operations to combine the numbers in a way that equals 11. One possible way is to multiply 20 by 1 to get 20, then add 8 + 7 - 1 to get 11. This gives us the equation: 20 + (8 + 7 - 1).</think>\n<final_answer>\nStep 1: 20 + 8 = 28\nStep 2: 28 + 7 = 35\nStep 3: 35 - 1 = 34\n</final_a... | [{"budget_forced_chunks": ["<think>First, I can try to use the operations to combine the numbers in a way that equals 11. One possible way is to multiply 20 by 1 to get 20, then add 8 + 7 - 1 to get 11. This gives us the equation: 20 + (8 + 7 - 1).</think>\n<final_answer>\nStep 1: 20 + 8 = 28\nStep 2: 28 + 7 = 35\nStep... | null |
64 | {"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... | 14 | {"gen_args_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': \"<think>First, I can add 6 and 10 to get 16. Then, I can subtract 4 from 16 to get 12. Finally, I can divide 12 by 19 to get a decimal result.</think>\\n<final_answer>\\nStep 1: 6 + 10 = 16\\nStep 2: 16 - 4 = 12\\nStep 3: 12 / 19 = 0.63157895 (a decimal result, approximately 0.632)\\n</final_answer>\... | ["{'generation': \"<think>First, I can add 6 and 10 to get 16. Then, I can subtract 4 from 16 to get 12. Finally, I can divide 12 by 19 to get a decimal result.</think>\\n<final_answer>\\nStep 1: 6 + 10 = 16\\nStep 2: 16 - 4 = 12\\nStep 3: 12 / 19 = 0.63157895 (a decimal result, approximately 0.632)\\n</final_answer>\\... | 32c7d6edf9a791a9576fef36ee42924d15008a1a3cbcc17f728f099b122d86af | 20e1f5327c8fb5ca8e924289cde96faf6c2e60df0573b7c58720d6df34666d96 | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 6 and 10 to get 16. Then, I can subtract 4 from 16 to get 12. Finally, I can divide 12 by 19 to get a decimal result.</think>\n<final_answer>\nStep 1: 6 + 10 = 16\nStep 2: 16 - 4 = 12\nStep 3: 12 / 19 = 0.63157895 (a decimal result, approximately 0.632)\n</final_answer>\n<think>Since the grade... | [{"budget_forced_chunks": ["<think>First, I can add 6 and 10 to get 16. Then, I can subtract 4 from 16 to get 12. Finally, I can divide 12 by 19 to get a decimal result.</think>\n<final_answer>\nStep 1: 6 + 10 = 16\nStep 2: 16 - 4 = 12\nStep 3: 12 / 19 = 0.63157895 (a decimal result, approximately 0.632)\n</final_answe... | null |
65 | {"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... | 10 | {"gen_args_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': '<think>First, I can add 8 and 23 to get 31. Then, I can subtract 10 from 31 to get the desired result of 10. So the equation would be: (8 + 23) - 10 = 10</think>\\\\n<answer>(8 + 23) - 10 = 10</answer>\\n\\nBut I need to verify this. Let me break it down step by step:\\n\\n1. Add 8 and 23: 8 + 23 = 3... | ["{'generation': '<think>First, I can add 8 and 23 to get 31. Then, I can subtract 10 from 31 to get the desired result of 10. So the equation would be: (8 + 23) - 10 = 10</think>\\\\n<answer>(8 + 23) - 10 = 10</answer>\\n\\nBut I need to verify this. Let me break it down step by step:\\n\\n1. Add 8 and 23: 8 + 23 = 31... | 37b100781adc7aea5bd0958ae572fe10470b8db410fd9723eb5360d5452d767d | 27abc602b799c6c8ed4fa7f36db773c12da966e4d4118b130a622520943a48d5 | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 8 and 23 to get 31. Then, I can subtract 10 from 31 to get the desired result of 10. So the equation would be: (8 + 23) - 10 = 10</think>\\n<answer>(8 + 23) - 10 = 10</answer>\n\nBut I need to verify this. Let me break it down step by step:\n\n1. Add 8 and 23: 8 + 23 = 31\n2. Subtract 10 from ... | [{"budget_forced_chunks": ["<think>First, I can add 8 and 23 to get 31. Then, I can subtract 10 from 31 to get the desired result of 10. So the equation would be: (8 + 23) - 10 = 10</think>\\n<answer>(8 + 23) - 10 = 10</answer>\n\nBut I need to verify this. Let me break it down step by step:\n\n1. Add 8 and 23: 8 + 23 ... | null |
66 | {"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': \"<think>First, I need to think of a way to use the numbers 19, 2, 12, and 18 to reach the target number 13. One way could be to start with 19 and subtract 6 to reach 13. But then I need to find a way to use 2, 12, and 18 in the equation. One option could be to add 2, 12, and 18 to a certain number to... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 19, 2, 12, and 18 to reach the target number 13. One way could be to start with 19 and subtract 6 to reach 13. But then I need to find a way to use 2, 12, and 18 in the equation. One option could be to add 2, 12, and 18 to a certain number to ... | c98d820c226336c2035fa0efaa4d9aa2becdcb27feac1bbf9082d6efe4f5069f | 1436914e7b70497d0e69375d7b70fd47527ca9e2cae49b0daf6cca5dd20d25a7 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 19, 2, 12, and 18 to reach the target number 13. One way could be to start with 19 and subtract 6 to reach 13. But then I need to find a way to use 2, 12, and 18 in the equation. One option could be to add 2, 12, and 18 to a certain number to reach 13. Let me ... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 19, 2, 12, and 18 to reach the target number 13. One way could be to start with 19 and subtract 6 to reach 13. But then I need to find a way to use 2, 12, and 18 in the equation. One option could be to add 2, 12, and 18 to a certain n... | null |
67 | {"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... | 23 | {"gen_args_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': \"<think>First, I can add 1 and 2 to get 3. Then, I can subtract 1 from 17 to get 16. Finally, I can add 16 and 21 to get 37, but I need to use 11 to get there. I can do this by subtracting 2 from 11 to get 9, then adding 9 to 17 to get 26, and then adding 26 and 11 to get 37.</think> \\n<final_answe... | ["{'generation': \"<think>First, I can add 1 and 2 to get 3. Then, I can subtract 1 from 17 to get 16. Finally, I can add 16 and 21 to get 37, but I need to use 11 to get there. I can do this by subtracting 2 from 11 to get 9, then adding 9 to 17 to get 26, and then adding 26 and 11 to get 37.</think> \\n<final_answer... | 3dee87e91e430e7f86936ddeb295f7a9006fcdac4e05ff39b8eb95e05789cda6 | ff841f243937fbac16fcd7bbd6cf6794fc7f246070b234a925b75877ce633207 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 1 and 2 to get 3. Then, I can subtract 1 from 17 to get 16. Finally, I can add 16 and 21 to get 37, but I need to use 11 to get there. I can do this by subtracting 2 from 11 to get 9, then adding 9 to 17 to get 26, and then adding 26 and 11 to get 37.</think> \n<final_answer>\nStep 1: 1 + 2 =... | [{"budget_forced_chunks": ["<think>First, I can add 1 and 2 to get 3. Then, I can subtract 1 from 17 to get 16. Finally, I can add 16 and 21 to get 37, but I need to use 11 to get there. I can do this by subtracting 2 from 11 to get 9, then adding 9 to 17 to get 26, and then adding 26 and 11 to get 37.</think> \n<fina... | null |
68 | {"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... | 10 | {"gen_args_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': \"<think>First, I need to think of a way to use the numbers 16, 4, 14, and 12 to reach the target number 10. One way could be to start with 16 and subtract 6 to reach 10, but that requires using 6 which is one of the numbers we cannot use again. So, I will look for another operation that can be perfor... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 16, 4, 14, and 12 to reach the target number 10. One way could be to start with 16 and subtract 6 to reach 10, but that requires using 6 which is one of the numbers we cannot use again. So, I will look for another operation that can be perform... | 98ab1b38356ecf7abfc8d59f6051f122d58b27c2757f86694bf71568c3f579e6 | cbe34bb42aa6666852658fa52a4884248cbbf63194ac9b9bcc86b2c69c103c04 | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 16, 4, 14, and 12 to reach the target number 10. One way could be to start with 16 and subtract 6 to reach 10, but that requires using 6 which is one of the numbers we cannot use again. So, I will look for another operation that can be performed with the given... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 16, 4, 14, and 12 to reach the target number 10. One way could be to start with 16 and subtract 6 to reach 10, but that requires using 6 which is one of the numbers we cannot use again. So, I will look for another operation that can b... | null |
69 | {"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': '<think>First, I can try to use the numbers to create a multiplication problem that equals 24. The highest number is 20, so I can try multiplying it by 16:</think>\\n<final_answer>\\nStep 1: 20 * 16 = 320\\n</final_answer>\\n\\n<think>Now, I have the result 320. The next highest number is 9. I can sub... | ["{'generation': '<think>First, I can try to use the numbers to create a multiplication problem that equals 24. The highest number is 20, so I can try multiplying it by 16:</think>\\n<final_answer>\\nStep 1: 20 * 16 = 320\\n</final_answer>\\n\\n<think>Now, I have the result 320. The next highest number is 9. I can subt... | 3ebb28261cbe5e14b7315a28166cc1db81b47ba4e9d15a19a7de1ca91ac3fc11 | 2636ec08d0fb37b2cf450273bfe2824cdd0f5cb1b0331db5775239f4dba1e73f | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can try to use the numbers to create a multiplication problem that equals 24. The highest number is 20, so I can try multiplying it by 16:</think>\n<final_answer>\nStep 1: 20 * 16 = 320\n</final_answer>\n\n<think>Now, I have the result 320. The next highest number is 9. I can subtract 9 from 320 to ge... | [{"budget_forced_chunks": ["<think>First, I can try to use the numbers to create a multiplication problem that equals 24. The highest number is 20, so I can try multiplying it by 16:</think>\n<final_answer>\nStep 1: 20 * 16 = 320\n</final_answer>\n\n<think>Now, I have the result 320. The next highest number is 9. I can... | null |
70 | {"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': '<think>First, I can try combining the numbers in different ways to see if I can find an equation that equals 24.</think>\\n\\n<final_answer>\\nStep 1: (8 * 3) + 9 = 31\\nStep 2: 31 - 7 = 24\\n</final_answer>\\n\\nThe numbers 8, 3, and 9 can be combined to equal 24 with the operations of addition, mul... | ["{'generation': '<think>First, I can try combining the numbers in different ways to see if I can find an equation that equals 24.</think>\\n\\n<final_answer>\\nStep 1: (8 * 3) + 9 = 31\\nStep 2: 31 - 7 = 24\\n</final_answer>\\n\\nThe numbers 8, 3, and 9 can be combined to equal 24 with the operations of addition, mult... | 7a7930e021ceeb46d974fa00bbee28c1f4e7422d48a9c96427a545e4eed0fbdf | fd72a63df0361a86a94acd60ae8292cd8ac4221f55ee795b17a95ad2540b0988 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can try combining the numbers in different ways to see if I can find an equation that equals 24.</think>\n\n<final_answer>\nStep 1: (8 * 3) + 9 = 31\nStep 2: 31 - 7 = 24\n</final_answer>\n\nThe numbers 8, 3, and 9 can be combined to equal 24 with the operations of addition, multiplication, and subtrac... | [{"budget_forced_chunks": ["<think>First, I can try combining the numbers in different ways to see if I can find an equation that equals 24.</think>\n\n<final_answer>\nStep 1: (8 * 3) + 9 = 31\nStep 2: 31 - 7 = 24\n</final_answer>\n\nThe numbers 8, 3, and 9 can be combined to equal 24 with the operations of addition, m... | null |
71 | {"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': \"<think>First, I can add 15 and 19 to get 34. Then, I can add 20 to 34 to get the result of 54. However, that would use the number 20 twice. Instead, I'll add 19 and 20 to get 39, and then subtract 1 from the result to get 38. That uses the number 19 twice, so I'll subtract 1 from one of those uses t... | ["{'generation': \"<think>First, I can add 15 and 19 to get 34. Then, I can add 20 to 34 to get the result of 54. However, that would use the number 20 twice. Instead, I'll add 19 and 20 to get 39, and then subtract 1 from the result to get 38. That uses the number 19 twice, so I'll subtract 1 from one of those uses to... | 6233391fa323f1ae8f0498bde4e183b36b9bab90b39c8d544a67220125b83287 | 08ad970139b0652c99d841197987b916b8a1ef91494da8c899ab506134af2eb8 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 15 and 19 to get 34. Then, I can add 20 to 34 to get the result of 54. However, that would use the number 20 twice. Instead, I'll add 19 and 20 to get 39, and then subtract 1 from the result to get 38. That uses the number 19 twice, so I'll subtract 1 from one of those uses to balance it out. ... | [{"budget_forced_chunks": ["<think>First, I can add 15 and 19 to get 34. Then, I can add 20 to 34 to get the result of 54. However, that would use the number 20 twice. Instead, I'll add 19 and 20 to get 39, and then subtract 1 from the result to get 38. That uses the number 19 twice, so I'll subtract 1 from one of thos... | null |
72 | {"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... | 22 | {"gen_args_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': \"<think>First, I can add 3 and 7 to get 10. Then, I can multiply 10 by 3 to get 30. Finally, I can subtract 8 from 30 to get 22.</think>\\n<final_answer>\\nStep 1: 10 = 3 + 7\\nStep 2: 30 = 10 * 3\\nStep 3: 22 = 30 - 8\\n</final_answer>\\n\\nThe equation that equals 22 is: <answer> 3 + 7 * 10 - 8 = 2... | ["{'generation': \"<think>First, I can add 3 and 7 to get 10. Then, I can multiply 10 by 3 to get 30. Finally, I can subtract 8 from 30 to get 22.</think>\\n<final_answer>\\nStep 1: 10 = 3 + 7\\nStep 2: 30 = 10 * 3\\nStep 3: 22 = 30 - 8\\n</final_answer>\\n\\nThe equation that equals 22 is: <answer> 3 + 7 * 10 - 8 = 22... | d451de9faeade7c0b043fd49fe6172d6084cd97ff6acbb5e55fd09b604e52764 | 2020d77f8edf80ce2b99f12ded817ddb52c377b349252b70b0b2618f0961c036 | 785f3ec7eb32f30b90cd0fcf3657d388b5ff4297f2f9716ff66e9b69c05ddd09 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 3 and 7 to get 10. Then, I can multiply 10 by 3 to get 30. Finally, I can subtract 8 from 30 to get 22.</think>\n<final_answer>\nStep 1: 10 = 3 + 7\nStep 2: 30 = 10 * 3\nStep 3: 22 = 30 - 8\n</final_answer>\n\nThe equation that equals 22 is: <answer> 3 + 7 * 10 - 8 = 22 </answer>\n\nBut accord... | [{"budget_forced_chunks": ["<think>First, I can add 3 and 7 to get 10. Then, I can multiply 10 by 3 to get 30. Finally, I can subtract 8 from 30 to get 22.</think>\n<final_answer>\nStep 1: 10 = 3 + 7\nStep 2: 30 = 10 * 3\nStep 3: 22 = 30 - 8\n</final_answer>\n\nThe equation that equals 22 is: <answer> 3 + 7 * 10 - 8 = ... | null |
73 | {"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... | 23 | {"gen_args_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': \"<think>First, I can add 16 and 15 to get 31. Then, I can subtract 1 from 31 to get 30. Finally, I can multiply 30 by 1 to get 30.</think>\\n<final_answer>\\nStep 1: 16 + 15 = 31\\nStep 2: 31 - 1 = 30\\nStep 3: 30 * 1 = 30\\n</final_answer>\\n\\nThe answer is 30.\\n\\nWait, this result is not correct... | ["{'generation': \"<think>First, I can add 16 and 15 to get 31. Then, I can subtract 1 from 31 to get 30. Finally, I can multiply 30 by 1 to get 30.</think>\\n<final_answer>\\nStep 1: 16 + 15 = 31\\nStep 2: 31 - 1 = 30\\nStep 3: 30 * 1 = 30\\n</final_answer>\\n\\nThe answer is 30.\\n\\nWait, this result is not correct.... | d1910265333c2aec98a24231bd582fc8e6d688f4c3a08e889f54e26f260f6ff6 | debf4e355f7604ffeeb5f3404d87d62b825d6527dc43fb065206a123921ce584 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 16 and 15 to get 31. Then, I can subtract 1 from 31 to get 30. Finally, I can multiply 30 by 1 to get 30.</think>\n<final_answer>\nStep 1: 16 + 15 = 31\nStep 2: 31 - 1 = 30\nStep 3: 30 * 1 = 30\n</final_answer>\n\nThe answer is 30.\n\nWait, this result is not correct. Let me try again. \n\n<th... | [{"budget_forced_chunks": ["<think>First, I can add 16 and 15 to get 31. Then, I can subtract 1 from 31 to get 30. Finally, I can multiply 30 by 1 to get 30.</think>\n<final_answer>\nStep 1: 16 + 15 = 31\nStep 2: 31 - 1 = 30\nStep 3: 30 * 1 = 30\n</final_answer>\n\nThe answer is 30.\n\nWait, this result is not correct.... | null |
74 | {"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... | 19 | {"gen_args_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': '<think>First, I need to think of a way to use the numbers 24, 18, and 23 to reach the target number 19. One way could be to start with 24 and adjust by adding or subtracting the other numbers.</think>\\n<final_answer>\\nStep 1: 24 + 18 = 42\\nStep 2: 42 - 23 = 19\\n</final_answer>\\n</answer>19</answ... | ["{'generation': '<think>First, I need to think of a way to use the numbers 24, 18, and 23 to reach the target number 19. One way could be to start with 24 and adjust by adding or subtracting the other numbers.</think>\\n<final_answer>\\nStep 1: 24 + 18 = 42\\nStep 2: 42 - 23 = 19\\n</final_answer>\\n</answer>19</answe... | ef1eb782cf001ce26a20ed44e1b588a2148b04dffc4bdeb09208c9415768088f | 802a5426bbc14fc70091630daf5ba791cfd4353339d08eb4744e729541630a94 | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 1 | [true] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 24, 18, and 23 to reach the target number 19. One way could be to start with 24 and adjust by adding or subtracting the other numbers.</think>\n<final_answer>\nStep 1: 24 + 18 = 42\nStep 2: 42 - 23 = 19\n</final_answer>\n</answer>19</answer>\n\nHowever, the as... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 24, 18, and 23 to reach the target number 19. One way could be to start with 24 and adjust by adding or subtracting the other numbers.</think>\n<final_answer>\nStep 1: 24 + 18 = 42\nStep 2: 42 - 23 = 19\n</final_answer>\n</answer>19</... | null |
75 | {"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... | 15 | {"gen_args_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': \"<think>First, I can add 17 and 20 to get 37. Then, I can subtract 10 from 37 to get 27. Finally, I can divide 27 by 4 to get the result.</think>\\n<final_answer>\\nStep 1: 17 + 20 = 37\\nStep 2: 37 - 10 = 27\\nStep 3: 27 / 4 = 6.75\\n</final_answer>\\n\\nHowever, since the target number in the probl... | ["{'generation': \"<think>First, I can add 17 and 20 to get 37. Then, I can subtract 10 from 37 to get 27. Finally, I can divide 27 by 4 to get the result.</think>\\n<final_answer>\\nStep 1: 17 + 20 = 37\\nStep 2: 37 - 10 = 27\\nStep 3: 27 / 4 = 6.75\\n</final_answer>\\n\\nHowever, since the target number in the proble... | 6db3fbd49b81d0debd08a217bb92f3efa1f6831c4999048dd50260c4a2a8e8c0 | 3bc056dfd0233c3b03fb4c3539e85fcd8989a7fad15a268f596aa2dfc3a7bce3 | e629fa6598d732768f7c726b4b621285f9c3b85303900aa912017db7617d8bdb | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 17 and 20 to get 37. Then, I can subtract 10 from 37 to get 27. Finally, I can divide 27 by 4 to get the result.</think>\n<final_answer>\nStep 1: 17 + 20 = 37\nStep 2: 37 - 10 = 27\nStep 3: 27 / 4 = 6.75\n</final_answer>\n\nHowever, since the target number in the problem is not provided, I can... | [{"budget_forced_chunks": ["<think>First, I can add 17 and 20 to get 37. Then, I can subtract 10 from 37 to get 27. Finally, I can divide 27 by 4 to get the result.</think>\n<final_answer>\nStep 1: 17 + 20 = 37\nStep 2: 37 - 10 = 27\nStep 3: 27 / 4 = 6.75\n</final_answer>\n\nHowever, since the target number in the prob... | null |
76 | {"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... | 16 | {"gen_args_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': \"<think>First, I can add 1 and 2 to get 3. Then, I need to multiply this by 6 and add 10 to get 16. So the equation is (1 + 2) * 6 + 10 = 16.</think> \\n<answer>(1 + 2) * 6 + 10 = 16</answer>\\n\\nBut according to your request, I will provide the solution in the format you asked for:\\n\\nStep 1: 1 ... | ["{'generation': \"<think>First, I can add 1 and 2 to get 3. Then, I need to multiply this by 6 and add 10 to get 16. So the equation is (1 + 2) * 6 + 10 = 16.</think> \\n<answer>(1 + 2) * 6 + 10 = 16</answer>\\n\\nBut according to your request, I will provide the solution in the format you asked for:\\n\\nStep 1: 1 +... | 35b1c2b18fee46db7d7d486eb513d6e14310ea4dce3e14fc7920f45913c73d48 | 82a5b9ead972f062769857dd7132e626f4b355aaba3fb500fe19fd767cae5fe9 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 1 | [true] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 1 and 2 to get 3. Then, I need to multiply this by 6 and add 10 to get 16. So the equation is (1 + 2) * 6 + 10 = 16.</think> \n<answer>(1 + 2) * 6 + 10 = 16</answer>\n\nBut according to your request, I will provide the solution in the format you asked for:\n\nStep 1: 1 + 2 = 3\nStep 2: 3 * 6 ... | [{"budget_forced_chunks": ["<think>First, I can add 1 and 2 to get 3. Then, I need to multiply this by 6 and add 10 to get 16. So the equation is (1 + 2) * 6 + 10 = 16.</think> \n<answer>(1 + 2) * 6 + 10 = 16</answer>\n\nBut according to your request, I will provide the solution in the format you asked for:\n\nStep 1:... | null |
77 | {"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... | 10 | {"gen_args_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': \"<think>First, I can try to add the two largest numbers, 9 and 2, to get 11. Then, I can use the remaining number, 5, to subtract from this sum. This would give me 11 - 5 = 6. However, this doesn't quite reach 10, so I need to adjust this strategy.</think>\\n<think>Instead, let's try a different appr... | ["{'generation': \"<think>First, I can try to add the two largest numbers, 9 and 2, to get 11. Then, I can use the remaining number, 5, to subtract from this sum. This would give me 11 - 5 = 6. However, this doesn't quite reach 10, so I need to adjust this strategy.</think>\\n<think>Instead, let's try a different appro... | b793b535bd0b3280ad4a8bc7d71b5cf4f234571620473d65acae50acc825ec57 | e8cbd5ee01dec1857224acb722f9c821b946597da44f1d2b0e054dcb5fbfde53 | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can try to add the two largest numbers, 9 and 2, to get 11. Then, I can use the remaining number, 5, to subtract from this sum. This would give me 11 - 5 = 6. However, this doesn't quite reach 10, so I need to adjust this strategy.</think>\n<think>Instead, let's try a different approach. I'll multiply... | [{"budget_forced_chunks": ["<think>First, I can try to add the two largest numbers, 9 and 2, to get 11. Then, I can use the remaining number, 5, to subtract from this sum. This would give me 11 - 5 = 6. However, this doesn't quite reach 10, so I need to adjust this strategy.</think>\n<think>Instead, let's try a differe... | null |
78 | {"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... | 19 | {"gen_args_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': \"<think>First, I can add 10 and 16 to get 26. Then, I can subtract 16 from 26 to get 10. Finally, I can add 10 and 19 to get 29.</think> \\n<final_answer>\\nStep 1: 10 + 16 = 26\\nStep 2: 26 - 16 = 10\\nStep 3: 10 + 19 = 29\\n</final_answer>\\n\\nThe answer is: <answer>10 + 19 = 29</answer>\\n\\nWai... | ["{'generation': \"<think>First, I can add 10 and 16 to get 26. Then, I can subtract 16 from 26 to get 10. Finally, I can add 10 and 19 to get 29.</think> \\n<final_answer>\\nStep 1: 10 + 16 = 26\\nStep 2: 26 - 16 = 10\\nStep 3: 10 + 19 = 29\\n</final_answer>\\n\\nThe answer is: <answer>10 + 19 = 29</answer>\\n\\nWait... | 9d80570a7343e6d2d68246a0e09ce47e1a6a96dc24feecbb35ad65e514cb2939 | 78b473de32b43d7c002173d5378657ba52a42625ce5708900ecdbf5b9789453f | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 10 and 16 to get 26. Then, I can subtract 16 from 26 to get 10. Finally, I can add 10 and 19 to get 29.</think> \n<final_answer>\nStep 1: 10 + 16 = 26\nStep 2: 26 - 16 = 10\nStep 3: 10 + 19 = 29\n</final_answer>\n\nThe answer is: <answer>10 + 19 = 29</answer>\n\nWait, this result is incorrect... | [{"budget_forced_chunks": ["<think>First, I can add 10 and 16 to get 26. Then, I can subtract 16 from 26 to get 10. Finally, I can add 10 and 19 to get 29.</think> \n<final_answer>\nStep 1: 10 + 16 = 26\nStep 2: 26 - 16 = 10\nStep 3: 10 + 19 = 29\n</final_answer>\n\nThe answer is: <answer>10 + 19 = 29</answer>\n\nWait... | null |
79 | {"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': \"<think>First, I can add 5 and 19 to get 24. However, we need to use each number only once. So, we can multiply 5 by 19 to get 95, and then subtract 5 from 95 to get 90. Now we just need to use the number 90 once and the result of 24 from the start. So, our equation is: Step 1: 19 + (5 * 19) - 5 = 24... | ["{'generation': \"<think>First, I can add 5 and 19 to get 24. However, we need to use each number only once. So, we can multiply 5 by 19 to get 95, and then subtract 5 from 95 to get 90. Now we just need to use the number 90 once and the result of 24 from the start. So, our equation is: Step 1: 19 + (5 * 19) - 5 = 24<... | 99d6fbffa160a424f45d4b78de11360cd4b97354c1dce2e3ae62d5f2f03d5b38 | 8f74b7e3c369679f1e12c6c9ec9b3b85d51f5d6e89c2181cc67e3ed90f706203 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 5 and 19 to get 24. However, we need to use each number only once. So, we can multiply 5 by 19 to get 95, and then subtract 5 from 95 to get 90. Now we just need to use the number 90 once and the result of 24 from the start. So, our equation is: Step 1: 19 + (5 * 19) - 5 = 24</think>\\n<answer... | [{"budget_forced_chunks": ["<think>First, I can add 5 and 19 to get 24. However, we need to use each number only once. So, we can multiply 5 by 19 to get 95, and then subtract 5 from 95 to get 90. Now we just need to use the number 90 once and the result of 24 from the start. So, our equation is: Step 1: 19 + (5 * 19) ... | null |
80 | {"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... | 19 | {"gen_args_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': '<think>First, I can add 17 and 13 to get 30. Then, I can subtract 15 from 30 to get 15. So the equation could be: (17 + 13) - 15 = 19</think> \\n<answer>(17 + 13) - 15 = 19</answer>\\n\\nBut I need to verify this. Let me do it step by step: \\n1. Start with 17 \\n2. Add 13, which gives 30. We can\... | ["{'generation': '<think>First, I can add 17 and 13 to get 30. Then, I can subtract 15 from 30 to get 15. So the equation could be: (17 + 13) - 15 = 19</think> \\n<answer>(17 + 13) - 15 = 19</answer>\\n\\nBut I need to verify this. Let me do it step by step: \\n1. Start with 17 \\n2. Add 13, which gives 30. We can\u... | 1fd81e2df0bd7f0dd3fc40b5f6617fc216f2550b4fbc63bb64c3d55a28fe4268 | 0b4c367a3bb495638c386032c2d90db43eae78f510b2126270bb3052fff05c8a | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 17 and 13 to get 30. Then, I can subtract 15 from 30 to get 15. So the equation could be: (17 + 13) - 15 = 19</think> \n<answer>(17 + 13) - 15 = 19</answer>\n\nBut I need to verify this. Let me do it step by step: \n1. Start with 17 \n2. Add 13, which gives 30. We can\u2019t use 30, we need... | [{"budget_forced_chunks": ["<think>First, I can add 17 and 13 to get 30. Then, I can subtract 15 from 30 to get 15. So the equation could be: (17 + 13) - 15 = 19</think> \n<answer>(17 + 13) - 15 = 19</answer>\n\nBut I need to verify this. Let me do it step by step: \n1. Start with 17 \n2. Add 13, which gives 30. We ... | null |
81 | {"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': \"<think>First, I can add 2 and 20 to get 22. Then, I can add 24 and 4 to get 28. Finally, I can add 22 and 28 to get 50.</think>\\n<final_answer>\\nStep 1: 2 + 20 = 22\\nStep 2: 24 + 4 = 28\\nStep 3: 22 + 28 = 50\\n</final_answer>\\n\\nThe answer is 50.\\n\\nWait, how? I was supposed to use all the n... | ["{'generation': \"<think>First, I can add 2 and 20 to get 22. Then, I can add 24 and 4 to get 28. Finally, I can add 22 and 28 to get 50.</think>\\n<final_answer>\\nStep 1: 2 + 20 = 22\\nStep 2: 24 + 4 = 28\\nStep 3: 22 + 28 = 50\\n</final_answer>\\n\\nThe answer is 50.\\n\\nWait, how? I was supposed to use all the nu... | 997f99b3e946a10a23c993819c4b0e619ddc9a6fa3027b29726c423e97f82ed3 | 234784e30f512a638cd6dec8311f44a87e65a74d04d0e2478165e83a9d0ecb75 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 2 and 20 to get 22. Then, I can add 24 and 4 to get 28. Finally, I can add 22 and 28 to get 50.</think>\n<final_answer>\nStep 1: 2 + 20 = 22\nStep 2: 24 + 4 = 28\nStep 3: 22 + 28 = 50\n</final_answer>\n\nThe answer is 50.\n\nWait, how? I was supposed to use all the numbers given to me. Let me ... | [{"budget_forced_chunks": ["<think>First, I can add 2 and 20 to get 22. Then, I can add 24 and 4 to get 28. Finally, I can add 22 and 28 to get 50.</think>\n<final_answer>\nStep 1: 2 + 20 = 22\nStep 2: 24 + 4 = 28\nStep 3: 22 + 28 = 50\n</final_answer>\n\nThe answer is 50.\n\nWait, how? I was supposed to use all the nu... | null |
82 | {"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... | 16 | {"gen_args_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': \"<think>First, I need to find a way to combine the numbers 9, 22, 3, and 6 to get a sum of 16. One way to do this is by using the * operation to multiply 22 by 3 and 6 by 2, and then adding the results together.</think>\\n<final_answer>\\nStep 1: 22 * 3 = 66\\nStep 2: 6 * 2 = 12\\nStep 3: 66 + 12 = 1... | ["{'generation': \"<think>First, I need to find a way to combine the numbers 9, 22, 3, and 6 to get a sum of 16. One way to do this is by using the * operation to multiply 22 by 3 and 6 by 2, and then adding the results together.</think>\\n<final_answer>\\nStep 1: 22 * 3 = 66\\nStep 2: 6 * 2 = 12\\nStep 3: 66 + 12 = 16... | 03ce236c2139b2502530b7d1a7b9f04b0a228c5b913baf576c61ea4f747ed6d7 | dda06b36cd550be53e6e802ae533a72a54ee914cd5531f6e91af805bc15e3093 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to find a way to combine the numbers 9, 22, 3, and 6 to get a sum of 16. One way to do this is by using the * operation to multiply 22 by 3 and 6 by 2, and then adding the results together.</think>\n<final_answer>\nStep 1: 22 * 3 = 66\nStep 2: 6 * 2 = 12\nStep 3: 66 + 12 = 16\n</final_answer>\n<t... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the numbers 9, 22, 3, and 6 to get a sum of 16. One way to do this is by using the * operation to multiply 22 by 3 and 6 by 2, and then adding the results together.</think>\n<final_answer>\nStep 1: 22 * 3 = 66\nStep 2: 6 * 2 = 12\nStep 3: 66 + 12... | null |
83 | {"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': '<think>First, I can add 3 and 6 to get 9. Then, I need to get 7 with the remaining number. Multiplying 1 by 7 will give me the result. So, the equation will be: (3 + 6) * 1 = 7</think> \\n<final_answer>Step 1: 3 + 6 = 9 \\nStep 2: 9 * 1 = 9</final_answer> \\n\\nThe answer is: (3 + 6) * 1 = 9.\\n\\... | ["{'generation': '<think>First, I can add 3 and 6 to get 9. Then, I need to get 7 with the remaining number. Multiplying 1 by 7 will give me the result. So, the equation will be: (3 + 6) * 1 = 7</think> \\n<final_answer>Step 1: 3 + 6 = 9 \\nStep 2: 9 * 1 = 9</final_answer> \\n\\nThe answer is: (3 + 6) * 1 = 9.\\n\\n... | 7212f88580197608ee45310d3946ace5165c460930b98ffcf2efbf62fbb9fd78 | 100530f6b8ebe121df0720a72d5b462f72fe2f623c2939e4925f50602d8c1ac8 | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 3 and 6 to get 9. Then, I need to get 7 with the remaining number. Multiplying 1 by 7 will give me the result. So, the equation will be: (3 + 6) * 1 = 7</think> \n<final_answer>Step 1: 3 + 6 = 9 \nStep 2: 9 * 1 = 9</final_answer> \n\nThe answer is: (3 + 6) * 1 = 9.\n\nWait, this result is i... | [{"budget_forced_chunks": ["<think>First, I can add 3 and 6 to get 9. Then, I need to get 7 with the remaining number. Multiplying 1 by 7 will give me the result. So, the equation will be: (3 + 6) * 1 = 7</think> \n<final_answer>Step 1: 3 + 6 = 9 \nStep 2: 9 * 1 = 9</final_answer> \n\nThe answer is: (3 + 6) * 1 = 9.... | null |
84 | {"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... | 23 | {"gen_args_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': \"<think>First, I need to think of a way to use the numbers 15, 3, and 22 to reach the target number 23. One approach could be to start with the highest number and work my way down, performing operations that might help me reach the target. For instance, I could try subtracting numbers from 23 and see... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 15, 3, and 22 to reach the target number 23. One approach could be to start with the highest number and work my way down, performing operations that might help me reach the target. For instance, I could try subtracting numbers from 23 and seei... | 4cc81a73edb3c70a7f9a4e66405067bdd3cd557192e4ccc5363b1c3ffd066337 | a521bb80ce8b527bb25590df9a522d4cf8e9b94627649d903e1c6902c0f1408e | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to use the numbers 15, 3, and 22 to reach the target number 23. One approach could be to start with the highest number and work my way down, performing operations that might help me reach the target. For instance, I could try subtracting numbers from 23 and seeing if I can find ... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 15, 3, and 22 to reach the target number 23. One approach could be to start with the highest number and work my way down, performing operations that might help me reach the target. For instance, I could try subtracting numbers from 23... | null |
85 | {"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': '<think>First, I can add 21 and 19 to get 40. Then, I can subtract 22 from 40 to get 18. Finally, I can subtract 7 from 18 to get the desired result of 17.</think> \\n<final_answer>\\nStep 1: 21 + 19 = 40\\nStep 2: 40 - 22 = 18\\nStep 3: 18 - 7 = 11\\nThe target number is 11.\\n</final_answer>\\n\\nH... | ["{'generation': '<think>First, I can add 21 and 19 to get 40. Then, I can subtract 22 from 40 to get 18. Finally, I can subtract 7 from 18 to get the desired result of 17.</think> \\n<final_answer>\\nStep 1: 21 + 19 = 40\\nStep 2: 40 - 22 = 18\\nStep 3: 18 - 7 = 11\\nThe target number is 11.\\n</final_answer>\\n\\nHo... | 0ae865d4dbc5cfaea27c1a97d5dd26fd6cfc693d41b25c8bb22dfbab6e87b839 | d70ed273c01a94ba8bc2003830f89de9ad22d231a38e797ec80738614d894fa3 | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 21 and 19 to get 40. Then, I can subtract 22 from 40 to get 18. Finally, I can subtract 7 from 18 to get the desired result of 17.</think> \n<final_answer>\nStep 1: 21 + 19 = 40\nStep 2: 40 - 22 = 18\nStep 3: 18 - 7 = 11\nThe target number is 11.\n</final_answer>\n\nHowever, the assistant mad... | [{"budget_forced_chunks": ["<think>First, I can add 21 and 19 to get 40. Then, I can subtract 22 from 40 to get 18. Finally, I can subtract 7 from 18 to get the desired result of 17.</think> \n<final_answer>\nStep 1: 21 + 19 = 40\nStep 2: 40 - 22 = 18\nStep 3: 18 - 7 = 11\nThe target number is 11.\n</final_answer>\n\n... | null |
86 | {"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... | 23 | {"gen_args_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': \"<think>First, I can add 6 and 2 to get 8. Then, I can multiply 8 by 3 to get 24. Finally, I can subtract 5 from 24 to get the result of 19. So the equation would be: (6 + 2) * 3 - 5 = 19.</think> \\n<answer>(6 + 2) * 3 - 5 = 19</answer>\\n\\nBut I need to verify this. Let me do it step by step: \\... | ["{'generation': \"<think>First, I can add 6 and 2 to get 8. Then, I can multiply 8 by 3 to get 24. Finally, I can subtract 5 from 24 to get the result of 19. So the equation would be: (6 + 2) * 3 - 5 = 19.</think> \\n<answer>(6 + 2) * 3 - 5 = 19</answer>\\n\\nBut I need to verify this. Let me do it step by step: \\n... | e78c916c002984bf26b644862b714de89c9d41e56e57ccb2d0f7a65240145933 | 286866cc7d3d0e46a70d9a216c094be68ed8b30cb640270203c4a394f86b9e49 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 6 and 2 to get 8. Then, I can multiply 8 by 3 to get 24. Finally, I can subtract 5 from 24 to get the result of 19. So the equation would be: (6 + 2) * 3 - 5 = 19.</think> \n<answer>(6 + 2) * 3 - 5 = 19</answer>\n\nBut I need to verify this. Let me do it step by step: \nFirst: 6 + 2 = 8 \nS... | [{"budget_forced_chunks": ["<think>First, I can add 6 and 2 to get 8. Then, I can multiply 8 by 3 to get 24. Finally, I can subtract 5 from 24 to get the result of 19. So the equation would be: (6 + 2) * 3 - 5 = 19.</think> \n<answer>(6 + 2) * 3 - 5 = 19</answer>\n\nBut I need to verify this. Let me do it step by step... | null |
87 | {"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... | 19 | {"gen_args_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': \"<think>First, I can add 10 and 15 to get 25. Then, I can subtract 4 from 25 to get the result.</think>\\n<final_answer>\\n<answer>(10 + 15) - 4 = 21</answer>\\n</final_answer>\\n\\nBut to confirm, here's how you would use the provided numbers [19, 10, 15, 4] with the operations to get the target num... | ["{'generation': \"<think>First, I can add 10 and 15 to get 25. Then, I can subtract 4 from 25 to get the result.</think>\\n<final_answer>\\n<answer>(10 + 15) - 4 = 21</answer>\\n</final_answer>\\n\\nBut to confirm, here's how you would use the provided numbers [19, 10, 15, 4] with the operations to get the target numb... | 8a18d4ad61f45669c35df9a8a11b091e5c9e57abb679b3d8d308f8c349b25e5f | fad17fb3a3ee78823eb8e4ca95379f63edd21a5e12798b1e0789047beff91fd7 | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 10 and 15 to get 25. Then, I can subtract 4 from 25 to get the result.</think>\n<final_answer>\n<answer>(10 + 15) - 4 = 21</answer>\n</final_answer>\n\nBut to confirm, here's how you would use the provided numbers [19, 10, 15, 4] with the operations to get the target number 19:\n\n<think>Step ... | [{"budget_forced_chunks": ["<think>First, I can add 10 and 15 to get 25. Then, I can subtract 4 from 25 to get the result.</think>\n<final_answer>\n<answer>(10 + 15) - 4 = 21</answer>\n</final_answer>\n\nBut to confirm, here's how you would use the provided numbers [19, 10, 15, 4] with the operations to get the target ... | null |
88 | {"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': \"<think>First, I can add 9 and 17 to get 26. Then, I can subtract 23 from 26 to get 3. So the equation is: (9 + 17) - 23 = 3\u3002</think> \\n<answer>(9 + 17) - 23 = 3</answer>\\n\\nBut I need to verify this. Let me check by creating an equation with the operations: (9 + 17) - 23 = 3. \\n\\nSo, my f... | ["{'generation': \"<think>First, I can add 9 and 17 to get 26. Then, I can subtract 23 from 26 to get 3. So the equation is: (9 + 17) - 23 = 3\u3002</think> \\n<answer>(9 + 17) - 23 = 3</answer>\\n\\nBut I need to verify this. Let me check by creating an equation with the operations: (9 + 17) - 23 = 3. \\n\\nSo, my fi... | a939fd76dd91760abb7e4ac6dd9cdd69c16832cb3afe806f723809d6674d9183 | 3af93761d572522bee5fffcdc85aac9c40d522a4f5704eb204a2145e90ca8e13 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 9 and 17 to get 26. Then, I can subtract 23 from 26 to get 3. So the equation is: (9 + 17) - 23 = 3\u3002</think> \n<answer>(9 + 17) - 23 = 3</answer>\n\nBut I need to verify this. Let me check by creating an equation with the operations: (9 + 17) - 23 = 3. \n\nSo, my final answer is: (9 + 17... | [{"budget_forced_chunks": ["<think>First, I can add 9 and 17 to get 26. Then, I can subtract 23 from 26 to get 3. So the equation is: (9 + 17) - 23 = 3\u3002</think> \n<answer>(9 + 17) - 23 = 3</answer>\n\nBut I need to verify this. Let me check by creating an equation with the operations: (9 + 17) - 23 = 3. \n\nSo, m... | null |
89 | {"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... | 25 | {"gen_args_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': \"<think>First, I can add 20 and 9 to get 29. Then, I can subtract 1 from 29 to get 28. Finally, I can divide 28 by 3 to get the result.</think>\\n<final_answer>\\nStep 1: 20 + 9 = 29\\nStep 2: 29 - 1 = 28\\nStep 3: 28 / 3 = 9 1/3\\n</final_answer>\\n\\nWait, let me try this again. Here's my thought p... | ["{'generation': \"<think>First, I can add 20 and 9 to get 29. Then, I can subtract 1 from 29 to get 28. Finally, I can divide 28 by 3 to get the result.</think>\\n<final_answer>\\nStep 1: 20 + 9 = 29\\nStep 2: 29 - 1 = 28\\nStep 3: 28 / 3 = 9 1/3\\n</final_answer>\\n\\nWait, let me try this again. Here's my thought pr... | 54074718fc33cde0d1ffb866e238f9ee9e73e4eb30deff57612ecfcabb7c0aa8 | 09a3501b533aecd2d38214aab61d6e005bf47b6c36df8a3cb6cc750794728110 | b7a56873cd771f2c446d369b649430b65a756ba278ff97ec81bb6f55b2e73569 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 20 and 9 to get 29. Then, I can subtract 1 from 29 to get 28. Finally, I can divide 28 by 3 to get the result.</think>\n<final_answer>\nStep 1: 20 + 9 = 29\nStep 2: 29 - 1 = 28\nStep 3: 28 / 3 = 9 1/3\n</final_answer>\n\nWait, let me try this again. Here's my thought process:\n\n1. To get a su... | [{"budget_forced_chunks": ["<think>First, I can add 20 and 9 to get 29. Then, I can subtract 1 from 29 to get 28. Finally, I can divide 28 by 3 to get the result.</think>\n<final_answer>\nStep 1: 20 + 9 = 29\nStep 2: 29 - 1 = 28\nStep 3: 28 / 3 = 9 1/3\n</final_answer>\n\nWait, let me try this again. Here's my thought ... | null |
90 | {"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': '<think>First, I can use the number 19 as a base and add or subtract 1 or 2 to reach 17. I will try adding 2 to 19: 19 + 2 = 21. However, 21 is not a target number. I will try subtracting 1 from 19: 19 - 1 = 18. This is not the target number either. So, using 19 and the operation +/-, I have not reach... | ["{'generation': '<think>First, I can use the number 19 as a base and add or subtract 1 or 2 to reach 17. I will try adding 2 to 19: 19 + 2 = 21. However, 21 is not a target number. I will try subtracting 1 from 19: 19 - 1 = 18. This is not the target number either. So, using 19 and the operation +/-, I have not reache... | 5e9a09fdc605b12c61135540e930f653f86cd4d1572d9149cb281ff1e69004e0 | 4a1eb49f78824faa8128953d30b3c4be9bcc3515c1d66b954e7165e50b92606f | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can use the number 19 as a base and add or subtract 1 or 2 to reach 17. I will try adding 2 to 19: 19 + 2 = 21. However, 21 is not a target number. I will try subtracting 1 from 19: 19 - 1 = 18. This is not the target number either. So, using 19 and the operation +/-, I have not reached the target num... | [{"budget_forced_chunks": ["<think>First, I can use the number 19 as a base and add or subtract 1 or 2 to reach 17. I will try adding 2 to 19: 19 + 2 = 21. However, 21 is not a target number. I will try subtracting 1 from 19: 19 - 1 = 18. This is not the target number either. So, using 19 and the operation +/-, I have ... | null |
91 | {"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': \"<think>First, I can add 6 and 16 to get 22. Then, I can add 17 to that sum. Finally, I can subtract 21 from that second sum to get 18.</think>\\n<final_answer>\\nStep 1: 6 + 16 = 22\\nStep 2: 22 + 17 = 39\\nStep 3: 39 - 21 = 18\\n</final_answer>\\n\\nThe answer is: 18 = (6 + 16 + 17) - 21.\\n\\nWait... | ["{'generation': \"<think>First, I can add 6 and 16 to get 22. Then, I can add 17 to that sum. Finally, I can subtract 21 from that second sum to get 18.</think>\\n<final_answer>\\nStep 1: 6 + 16 = 22\\nStep 2: 22 + 17 = 39\\nStep 3: 39 - 21 = 18\\n</final_answer>\\n\\nThe answer is: 18 = (6 + 16 + 17) - 21.\\n\\nWait,... | 5d6946d5bae41ad89ef8b142890fcccb941af44fcb19a052c920cc994415c022 | 656e0436e2d4c37f42635c0cc65e38bc1a4c562af47a499516eb06749fdba456 | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 6 and 16 to get 22. Then, I can add 17 to that sum. Finally, I can subtract 21 from that second sum to get 18.</think>\n<final_answer>\nStep 1: 6 + 16 = 22\nStep 2: 22 + 17 = 39\nStep 3: 39 - 21 = 18\n</final_answer>\n\nThe answer is: 18 = (6 + 16 + 17) - 21.\n\nWait, let me try this again ste... | [{"budget_forced_chunks": ["<think>First, I can add 6 and 16 to get 22. Then, I can add 17 to that sum. Finally, I can subtract 21 from that second sum to get 18.</think>\n<final_answer>\nStep 1: 6 + 16 = 22\nStep 2: 22 + 17 = 39\nStep 3: 39 - 21 = 18\n</final_answer>\n\nThe answer is: 18 = (6 + 16 + 17) - 21.\n\nWait,... | null |
92 | {"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': '<think>First, I can try to find a combination of operations that can use all the numbers exactly once to reach the target number 24.</think>\\n<final_answer>\\nStep 1: 16 - 12 = 4\\nStep 2: 4 * 14 = 56\\nStep 3: 56 + 16 = 72\\n</final_answer>\\n\\nHowever, the target number in the question is 24, and... | ["{'generation': '<think>First, I can try to find a combination of operations that can use all the numbers exactly once to reach the target number 24.</think>\\n<final_answer>\\nStep 1: 16 - 12 = 4\\nStep 2: 4 * 14 = 56\\nStep 3: 56 + 16 = 72\\n</final_answer>\\n\\nHowever, the target number in the question is 24, and ... | d8bbffa5e5aafaa81683a064a1e22217380d39e326b48c7a3892f8be8bd55e73 | ec25b954d4c64b681f6a629e1bebf6d529c421771c4d7ef6b38b109b278a8b99 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can try to find a combination of operations that can use all the numbers exactly once to reach the target number 24.</think>\n<final_answer>\nStep 1: 16 - 12 = 4\nStep 2: 4 * 14 = 56\nStep 3: 56 + 16 = 72\n</final_answer>\n\nHowever, the target number in the question is 24, and we have arrived at 72. ... | [{"budget_forced_chunks": ["<think>First, I can try to find a combination of operations that can use all the numbers exactly once to reach the target number 24.</think>\n<final_answer>\nStep 1: 16 - 12 = 4\nStep 2: 4 * 14 = 56\nStep 3: 56 + 16 = 72\n</final_answer>\n\nHowever, the target number in the question is 24, a... | null |
93 | {"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... | 20 | {"gen_args_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': \"<think>First, I can add 6 and 11 to get 17. Then, I can add 4 to 17 to get 21. Finally, I can subtract 1 from 21 to get 20.</think>\\n<final_answer>\\nStep 1: 6 + 11 = 17\\nStep 2: 4 + 17 = 21\\nStep 3: 21 - 1 = 20\\n</final_answer>\\n\\nThe answer is: 4 * 6 - 11 + 1 = 20.\\n\\nBut according to your... | ["{'generation': \"<think>First, I can add 6 and 11 to get 17. Then, I can add 4 to 17 to get 21. Finally, I can subtract 1 from 21 to get 20.</think>\\n<final_answer>\\nStep 1: 6 + 11 = 17\\nStep 2: 4 + 17 = 21\\nStep 3: 21 - 1 = 20\\n</final_answer>\\n\\nThe answer is: 4 * 6 - 11 + 1 = 20.\\n\\nBut according to your ... | e1fd07ae613d4433c60203d498668d3115bfa1c141ec77d811980d28281a64ce | 97371084dfc8c3d3a11b264c62dd52e390799a6af505406ad31e1b2b54b56055 | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 6 and 11 to get 17. Then, I can add 4 to 17 to get 21. Finally, I can subtract 1 from 21 to get 20.</think>\n<final_answer>\nStep 1: 6 + 11 = 17\nStep 2: 4 + 17 = 21\nStep 3: 21 - 1 = 20\n</final_answer>\n\nThe answer is: 4 * 6 - 11 + 1 = 20.\n\nBut according to your request, I just need to so... | [{"budget_forced_chunks": ["<think>First, I can add 6 and 11 to get 17. Then, I can add 4 to 17 to get 21. Finally, I can subtract 1 from 21 to get 20.</think>\n<final_answer>\nStep 1: 6 + 11 = 17\nStep 2: 4 + 17 = 21\nStep 3: 21 - 1 = 20\n</final_answer>\n\nThe answer is: 4 * 6 - 11 + 1 = 20.\n\nBut according to your ... | null |
94 | {"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... | 23 | {"gen_args_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': '<think>First, I can add 16 and 21 to get 37. Then, I can subtract 15 from 37 to get 22. Finally, I can subtract 2 from 22 to get the target number, 23.</think> \\n<final_answer>\\nStep 1: 16 + 21 = 37\\nStep 2: 37 - 15 = 22\\nStep 3: 22 - 2 = 20\\n</final_answer>\\n\\nThe answer is: <answer>20</answ... | ["{'generation': '<think>First, I can add 16 and 21 to get 37. Then, I can subtract 15 from 37 to get 22. Finally, I can subtract 2 from 22 to get the target number, 23.</think> \\n<final_answer>\\nStep 1: 16 + 21 = 37\\nStep 2: 37 - 15 = 22\\nStep 3: 22 - 2 = 20\\n</final_answer>\\n\\nThe answer is: <answer>20</answe... | 3a1b25f4d472756ebdf562f6119b65b746b767ea84a4dd799bd070e16ecfe97b | d458798ae840986384fb19120fb9fb1a5e41c093e8037f36a443be3fcc0dcaf9 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 16 and 21 to get 37. Then, I can subtract 15 from 37 to get 22. Finally, I can subtract 2 from 22 to get the target number, 23.</think> \n<final_answer>\nStep 1: 16 + 21 = 37\nStep 2: 37 - 15 = 22\nStep 3: 22 - 2 = 20\n</final_answer>\n\nThe answer is: <answer>20</answer>\n\nBut to confirm, h... | [{"budget_forced_chunks": ["<think>First, I can add 16 and 21 to get 37. Then, I can subtract 15 from 37 to get 22. Finally, I can subtract 2 from 22 to get the target number, 23.</think> \n<final_answer>\nStep 1: 16 + 21 = 37\nStep 2: 37 - 15 = 22\nStep 3: 22 - 2 = 20\n</final_answer>\n\nThe answer is: <answer>20</an... | null |
95 | {"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... | 16 | {"gen_args_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': \"<think>First, I can use the numbers to create a simple addition problem: 16 + 4 = 20. This uses the number 4 as a tens placeholder.</think>\\n<final_answer>\\nStep 1: 16 + 4 = 20\\n</final_answer>\\n\\nNow I need to use the remaining numbers to create another equation that equals 16. With 1, 2, and ... | ["{'generation': \"<think>First, I can use the numbers to create a simple addition problem: 16 + 4 = 20. This uses the number 4 as a tens placeholder.</think>\\n<final_answer>\\nStep 1: 16 + 4 = 20\\n</final_answer>\\n\\nNow I need to use the remaining numbers to create another equation that equals 16. With 1, 2, and 1... | d072894f0ec9b0cfbfa2cc48b6771ecc2c365ef18772bb99cdcc43a7540ee46f | 7bde26e5b3b1575939cd70cea46432c285a6285297650ad797a14d239b460762 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can use the numbers to create a simple addition problem: 16 + 4 = 20. This uses the number 4 as a tens placeholder.</think>\n<final_answer>\nStep 1: 16 + 4 = 20\n</final_answer>\n\nNow I need to use the remaining numbers to create another equation that equals 16. With 1, 2, and 16 left, I can use the ... | [{"budget_forced_chunks": ["<think>First, I can use the numbers to create a simple addition problem: 16 + 4 = 20. This uses the number 4 as a tens placeholder.</think>\n<final_answer>\nStep 1: 16 + 4 = 20\n</final_answer>\n\nNow I need to use the remaining numbers to create another equation that equals 16. With 1, 2, a... | null |
96 | {"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': \"<think>First, I can add 8 and 4 to get 12. Then, I can add 15 to 12 to get the result of 27. However, the given numbers are not consecutive, so I will use the operations to manipulate the given numbers to fit the pattern.</think>\\n<final_answer>\\nStep 1: 15 - 8 = 7\\nStep 2: 15 - 4 = 11\\nStep 3: ... | ["{'generation': \"<think>First, I can add 8 and 4 to get 12. Then, I can add 15 to 12 to get the result of 27. However, the given numbers are not consecutive, so I will use the operations to manipulate the given numbers to fit the pattern.</think>\\n<final_answer>\\nStep 1: 15 - 8 = 7\\nStep 2: 15 - 4 = 11\\nStep 3: (... | efcaf1a72cc1c5524e2e8c8faf13eb037aad0cfaeda5e5f50a2a2902dde53333 | 23aa6021a0c062a9b897ef9afa175819a2757915f30ab230bbb56d2e9f0d4379 | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 8 and 4 to get 12. Then, I can add 15 to 12 to get the result of 27. However, the given numbers are not consecutive, so I will use the operations to manipulate the given numbers to fit the pattern.</think>\n<final_answer>\nStep 1: 15 - 8 = 7\nStep 2: 15 - 4 = 11\nStep 3: (7 * 2) + 11 = 25\n</f... | [{"budget_forced_chunks": ["<think>First, I can add 8 and 4 to get 12. Then, I can add 15 to 12 to get the result of 27. However, the given numbers are not consecutive, so I will use the operations to manipulate the given numbers to fit the pattern.</think>\n<final_answer>\nStep 1: 15 - 8 = 7\nStep 2: 15 - 4 = 11\nStep... | null |
97 | {"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': \"<think>First, I need to think of a way to combine the given numbers [20, 17, 24] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I can't use any number more than once.</think>\\n<final_answer>\\nStep 1: 24 - 17 = 7\\nStep 2: 7 * 20 = 140\\n</final_answer>\\n<Any error-m... | ["{'generation': \"<think>First, I need to think of a way to combine the given numbers [20, 17, 24] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I can't use any number more than once.</think>\\n<final_answer>\\nStep 1: 24 - 17 = 7\\nStep 2: 7 * 20 = 140\\n</final_answer>\\n<Any error-me... | 06649405689279406a3c70aecf0a5a85d6c4f8da6b95412e61bf2dca98890c04 | 55ba249ea0e0bd5cabb609e0cc089c7f40c89a4d809e27c8712b899ba78b1571 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I need to think of a way to combine the given numbers [20, 17, 24] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I can't use any number more than once.</think>\n<final_answer>\nStep 1: 24 - 17 = 7\nStep 2: 7 * 20 = 140\n</final_answer>\n<Any error-messages should be addre... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine the given numbers [20, 17, 24] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I can't use any number more than once.</think>\n<final_answer>\nStep 1: 24 - 17 = 7\nStep 2: 7 * 20 = 140\n</final_answer>\n<Any erro... | null |
98 | {"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... | 14 | {"gen_args_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': \"<think>First, I can add 9 and 11 to get 20. Then, I can subtract 17 from 20 to get the desired result of 14. So the equation would be: (9 + 11) - 17 = 14</think> \\n<answer>(9 + 11) - 17 = 14</answer>\\n\\nBut I need to verify this. Let me break it down step by step:\\n\\n1. Add 9 and 11: 9 + 11 = ... | ["{'generation': \"<think>First, I can add 9 and 11 to get 20. Then, I can subtract 17 from 20 to get the desired result of 14. So the equation would be: (9 + 11) - 17 = 14</think> \\n<answer>(9 + 11) - 17 = 14</answer>\\n\\nBut I need to verify this. Let me break it down step by step:\\n\\n1. Add 9 and 11: 9 + 11 = 2... | 0e937e0893608a7dccea4dc5ebe2f18c3d7a0f90b5cea4b17f34fb5a0fddcb7e | 4367a333b8fbb8824e45aa74045b82d4909a70148afc968b397a44152d78cf2d | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 9 and 11 to get 20. Then, I can subtract 17 from 20 to get the desired result of 14. So the equation would be: (9 + 11) - 17 = 14</think> \n<answer>(9 + 11) - 17 = 14</answer>\n\nBut I need to verify this. Let me break it down step by step:\n\n1. Add 9 and 11: 9 + 11 = 20\n2. Subtract 17 from... | [{"budget_forced_chunks": ["<think>First, I can add 9 and 11 to get 20. Then, I can subtract 17 from 20 to get the desired result of 14. So the equation would be: (9 + 11) - 17 = 14</think> \n<answer>(9 + 11) - 17 = 14</answer>\n\nBut I need to verify this. Let me break it down step by step:\n\n1. Add 9 and 11: 9 + 11... | null |
99 | {"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': '<think>First, I can add 16 and 15 to get 31. Then, I can multiply 31 by 5 to get 155. Finally, I can subtract 22 from 155 to get 133.</think>\\n<final_answer>\\nStep 1: 16 + 15 = 31\\nStep 2: 31 * 5 = 155\\nStep 3: 155 - 22 = 133\\n</final_answer>\\n\\nThe answer is 133.\\n\\nWait, this result is inc... | ["{'generation': '<think>First, I can add 16 and 15 to get 31. Then, I can multiply 31 by 5 to get 155. Finally, I can subtract 22 from 155 to get 133.</think>\\n<final_answer>\\nStep 1: 16 + 15 = 31\\nStep 2: 31 * 5 = 155\\nStep 3: 155 - 22 = 133\\n</final_answer>\\n\\nThe answer is 133.\\n\\nWait, this result is inco... | c05b04ca7ae2cc4348826abbfbaf15c8c666eac685b4eac2862b07de889f7024 | a3e4733b904b745aded4db23f1be09a0a5ea7593a933cb6bee0e85f6aba4d55f | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-05T17-19-46.625620.jsonl | ["<think>First, I can add 16 and 15 to get 31. Then, I can multiply 31 by 5 to get 155. Finally, I can subtract 22 from 155 to get 133.</think>\n<final_answer>\nStep 1: 16 + 15 = 31\nStep 2: 31 * 5 = 155\nStep 3: 155 - 22 = 133\n</final_answer>\n\nThe answer is 133.\n\nWait, this result is incorrect. Let me try again. ... | [{"budget_forced_chunks": ["<think>First, I can add 16 and 15 to get 31. Then, I can multiply 31 by 5 to get 155. Finally, I can subtract 22 from 155 to get 133.</think>\n<final_answer>\nStep 1: 16 + 15 = 31\nStep 2: 31 * 5 = 155\nStep 3: 155 - 22 = 133\n</final_answer>\n\nThe answer is 133.\n\nWait, this result is inc... | null |
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