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 basic arithmetic operations (+, -, *, /) to reach the target number 13. I'll start by thinking of different operations that could lead to 13.</think>\\n<final_answer>\\nStep 1: Consider the operation for two of the num... | ["{'generation': \"<think>First, I need to find a way to combine the given numbers [15, 19, 9] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I'll start by thinking of different operations that could lead to 13.</think>\\n<final_answer>\\nStep 1: Consider the operation for two of the numb... | 1fe4a3a3bdceb99acba3870b8820fb7d71d2b128097a35de13101519c94b2714 | 6adf7f5ba7f8982f91ce5cd729a078032176cbdfc8ebc8d4eaebb7f44a3a1fb4 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the given numbers [15, 19, 9] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I'll start by thinking of different operations that could lead to 13.</think>\n<final_answer>\nStep 1: Consider the operation for two of the numbers that will allow... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers [15, 19, 9] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I'll start by thinking of different operations that could lead to 13.</think>\n<final_answer>\nStep 1: Consider the operation for two of 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, we need to find a way to combine the given numbers [20, 9, 2, 24] using basic arithmetic operations (+, -, *, /) to get the target number, 10. We can only use each number once.</think>\\n<final_answer>\\nTo solve this, we can start by adding the two smallest numbers, 2 and 9, to get 11... | ["{'generation': \"<think>First, we need to find a way to combine the given numbers [20, 9, 2, 24] using basic arithmetic operations (+, -, *, /) to get the target number, 10. We can only use each number once.</think>\\n<final_answer>\\nTo solve this, we can start by adding the two smallest numbers, 2 and 9, to get 11.... | 4e7925e9464d9cd3f15b66d7f0d396c2d208e935db23218e8e12a143a69fdcf5 | bd97db98bf338537ff6865ad3edb32a5afd84e1c203f33f3a520ad9350cff93a | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, we need to find a way to combine the given numbers [20, 9, 2, 24] using basic arithmetic operations (+, -, *, /) to get the target number, 10. We can only use each number once.</think>\n<final_answer>\nTo solve this, we can start by adding the two smallest numbers, 2 and 9, to get 11. Then, we can use t... | [{"budget_forced_chunks": ["<think>First, we need to find a way to combine the given numbers [20, 9, 2, 24] using basic arithmetic operations (+, -, *, /) to get the target number, 10. We can only use each number once.</think>\n<final_answer>\nTo solve this, we can start by adding the two smallest numbers, 2 and 9, to ... | 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 start by using the last number given, 10, as it easily fits into the equation without exceeding the target number 24. I will try subtracting it from 13 to see if I get a number that, when multiplied by 3, could reach or approach 24.</think>\\n<final_answer>\\nStep 1: 13 - 10 = 3\... | ["{'generation': \"<think>First, I can start by using the last number given, 10, as it easily fits into the equation without exceeding the target number 24. I will try subtracting it from 13 to see if I get a number that, when multiplied by 3, could reach or approach 24.</think>\\n<final_answer>\\nStep 1: 13 - 10 = 3\\... | 21d37d7882ca656e9c61892eb0e92eb17e6ccb0b44acbf990becc8d10939c8ba | 01fe40f4315157fd51d595d12678270a8d4a97c88098425b3b2c89768f826ed6 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the last number given, 10, as it easily fits into the equation without exceeding the target number 24. I will try subtracting it from 13 to see if I get a number that, when multiplied by 3, could reach or approach 24.</think>\n<final_answer>\nStep 1: 13 - 10 = 3\nStep 2: 3 * 3 = 9\n... | [{"budget_forced_chunks": ["<think>First, I can start by using the last number given, 10, as it easily fits into the equation without exceeding the target number 24. I will try subtracting it from 13 to see if I get a number that, when multiplied by 3, could reach or approach 24.</think>\n<final_answer>\nStep 1: 13 - 1... | 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 find a way to combine these numbers to get 21. The number 23 stands out because it's close to 21, so I'll start with that.</think>\\n<final_answer>\\nStep 1: 23 - 2 = 21 (by using subtraction, I was able to get close to the target number while also utilizing the other numbers... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 21. The number 23 stands out because it's close to 21, so I'll start with that.</think>\\n<final_answer>\\nStep 1: 23 - 2 = 21 (by using subtraction, I was able to get close to the target number while also utilizing the other numbers ... | 95ef82ecb05d93a4ee380d4641abaeadd43e6bc9d99c871ce170758b6f305b44 | b74d9dce0967059bc7deb16d7c3ce9ddb7cfb27d70d2987dea642c679674d513 | 6f4b6612125fb3a0daecd2799dfd6c9c299424fd920f9b308110a2c1fbd8f443 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 21. The number 23 stands out because it's close to 21, so I'll start with that.</think>\n<final_answer>\nStep 1: 23 - 2 = 21 (by using subtraction, I was able to get close to the target number while also utilizing the other numbers in the list)</answe... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 21. The number 23 stands out because it's close to 21, so I'll start with that.</think>\n<final_answer>\nStep 1: 23 - 2 = 21 (by using subtraction, I was able to get close to the target number while also utilizing the other n... | 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. So the equation is: (3 + 8) * 4 - 13 = 2.</think>\\n<final_answer>\\nStep 1: 3 + 8 = 11\\nStep 2: 11 * 4 = 44\\nStep 3: 44 - 13 = 31\\nThe final answer is: (3 + 8)... | ["{'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. So the equation is: (3 + 8) * 4 - 13 = 2.</think>\\n<final_answer>\\nStep 1: 3 + 8 = 11\\nStep 2: 11 * 4 = 44\\nStep 3: 44 - 13 = 31\\nThe final answer is: (3 + 8) ... | 37e0958fcc9b1045189fb65b03cc9e071033593787e2f5171ceea9f86e8ebcf4 | ec571e8688c75a5736ce86b7195b61373aaf0be543ff8182bc2cf3a6429e9eab | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.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. So the equation is: (3 + 8) * 4 - 13 = 2.</think>\n<final_answer>\nStep 1: 3 + 8 = 11\nStep 2: 11 * 4 = 44\nStep 3: 44 - 13 = 31\nThe final answer is: (3 + 8) * 4 - 13 = 31.</final_... | [{"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. So the equation is: (3 + 8) * 4 - 13 = 2.</think>\n<final_answer>\nStep 1: 3 + 8 = 11\nStep 2: 11 * 4 = 44\nStep 3: 44 - 13 = 31\nThe final answer is: (3 +... | 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, we can add 12 and 6 to get 18. However, we need to use each number only once. So, we can multiply 12 by 6/10 to use 6 once and create a fraction that can be simplified to a whole number.</think>\\n<final_answer>\\nStep 1: 12 * (6/10) = 72/10 = 7.2\\nStep 2: 7.2 + 10 = 17.2\\n</final_an... | ["{'generation': \"<think>First, we can add 12 and 6 to get 18. However, we need to use each number only once. So, we can multiply 12 by 6/10 to use 6 once and create a fraction that can be simplified to a whole number.</think>\\n<final_answer>\\nStep 1: 12 * (6/10) = 72/10 = 7.2\\nStep 2: 7.2 + 10 = 17.2\\n</final_ans... | a4b2daca5c54b55b15980110f282e22f14fac0971c9652711d3a679e8bd89a3d | 7cfb8ba4d40ba72deb7d7f9cb5b33545b9f643be9e6bb394acaf180179e28cd4 | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, we can add 12 and 6 to get 18. However, we need to use each number only once. So, we can multiply 12 by 6/10 to use 6 once and create a fraction that can be simplified to a whole number.</think>\n<final_answer>\nStep 1: 12 * (6/10) = 72/10 = 7.2\nStep 2: 7.2 + 10 = 17.2\n</final_answer>\nThe answer is: ... | [{"budget_forced_chunks": ["<think>First, we can add 12 and 6 to get 18. However, we need to use each number only once. So, we can multiply 12 by 6/10 to use 6 once and create a fraction that can be simplified to a whole number.</think>\n<final_answer>\nStep 1: 12 * (6/10) = 72/10 = 7.2\nStep 2: 7.2 + 10 = 17.2\n</fina... | 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 start by using the numbers to create a simple addition or subtraction equation. However, since the target number is 21, which is a prime number, it makes the multiplication step easier.</think>\\n<final_answer>\\nStep 1: We can use 6 and 15 to create the multiplication of 90 (6 *... | ["{'generation': \"<think>First, I can start by using the numbers to create a simple addition or subtraction equation. However, since the target number is 21, which is a prime number, it makes the multiplication step easier.</think>\\n<final_answer>\\nStep 1: We can use 6 and 15 to create the multiplication of 90 (6 * ... | a7f237e6a8b37389748df0baa5ea27734734e3277f163e579d92165e4afed893 | ab00774c40567d2e767072fc5936db116736f40a30593069488d7cfe010b27b9 | 6f4b6612125fb3a0daecd2799dfd6c9c299424fd920f9b308110a2c1fbd8f443 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the numbers to create a simple addition or subtraction equation. However, since the target number is 21, which is a prime number, it makes the multiplication step easier.</think>\n<final_answer>\nStep 1: We can use 6 and 15 to create the multiplication of 90 (6 * 15 = 90).\nStep 2: ... | [{"budget_forced_chunks": ["<think>First, I can start by using the numbers to create a simple addition or subtraction equation. However, since the target number is 21, which is a prime number, it makes the multiplication step easier.</think>\n<final_answer>\nStep 1: We can use 6 and 15 to create the multiplication of 9... | 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 need to think of a way to combine these numbers to get 17. I can start by multiplying 2 and 8 to get 16, but that's close, and using 16 as the first two digits would give me 16x2=32 which is too big. So, I'll try adding 2 and 8 to get 10, and then adding 11 to 10 will give me 21. But... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 17. I can start by multiplying 2 and 8 to get 16, but that's close, and using 16 as the first two digits would give me 16x2=32 which is too big. So, I'll try adding 2 and 8 to get 10, and then adding 11 to 10 will give me 21. But ... | 45c1e59b5a1a576b7ae49ac9ab5ee519341b3ff5d15693635b6c69819b16325f | 0e76d7adfecf1d484230f45f4d7e233e3860bce62d005024a9c931e6fe2a8c02 | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 17. I can start by multiplying 2 and 8 to get 16, but that's close, and using 16 as the first two digits would give me 16x2=32 which is too big. So, I'll try adding 2 and 8 to get 10, and then adding 11 to 10 will give me 21. But 21 is greater tha... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 17. I can start by multiplying 2 and 8 to get 16, but that's close, and using 16 as the first two digits would give me 16x2=32 which is too big. So, I'll try adding 2 and 8 to get 10, and then adding 11 to 10 will give me... | 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 need to find a way to combine these numbers to get 22. I can start by multiplying the largest number, 21, by a number close to 2, such as 2. However, multiplying 21 by 2 gives 42, which is too large. So, I'll try multiplying 21 by 1, which gives 21. Now I need to find a number that, ... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 22. I can start by multiplying the largest number, 21, by a number close to 2, such as 2. However, multiplying 21 by 2 gives 42, which is too large. So, I'll try multiplying 21 by 1, which gives 21. Now I need to find a number that, w... | 167220307e1ef076a95de3ecc155ceac76542c67d9bfe7f28083afac878049e0 | 15b1e41847c3fd678b61f9e016eda0d418836829766dc3d9e8d8e1b5133c1d3a | 785f3ec7eb32f30b90cd0fcf3657d388b5ff4297f2f9716ff66e9b69c05ddd09 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 22. I can start by multiplying the largest number, 21, by a number close to 2, such as 2. However, multiplying 21 by 2 gives 42, which is too large. So, I'll try multiplying 21 by 1, which gives 21. Now I need to find a number that, when multiplied by... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 22. I can start by multiplying the largest number, 21, by a number close to 2, such as 2. However, multiplying 21 by 2 gives 42, which is too large. So, I'll try multiplying 21 by 1, which gives 21. Now I need to find a numbe... | 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 find a way to combine the given numbers [6, 22, 14] using basic arithmetic operations (+, -, *, /) so that the result equals 14. I can use each number only once.</think>\\n<final_answer>\\nTo solve this, we can start by adding the two smaller numbers, 6 and 22, which gives us ... | ["{'generation': '<think>First, I need to find a way to combine the given numbers [6, 22, 14] using basic arithmetic operations (+, -, *, /) so that the result equals 14. I can use each number only once.</think>\\n<final_answer>\\nTo solve this, we can start by adding the two smaller numbers, 6 and 22, which gives us 2... | 9177efbdceb2c6d3585fa1de81c78225fbf88132fb0ae87fe539a216301a3389 | a3d20e36b20880d64b880d4378e3aea9de8a3687a302888a392e88997a29b20f | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the given numbers [6, 22, 14] using basic arithmetic operations (+, -, *, /) so that the result equals 14. I can use each number only once.</think>\n<final_answer>\nTo solve this, we can start by adding the two smaller numbers, 6 and 22, which gives us 28. Now, we need to... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers [6, 22, 14] using basic arithmetic operations (+, -, *, /) so that the result equals 14. I can use each number only once.</think>\n<final_answer>\nTo solve this, we can start by adding the two smaller numbers, 6 and 22, which gi... | 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 find a way to combine the given numbers [20, 15, 17] using basic arithmetic operations (+, -, *, /) so that the result equals 12. I can use each number only once.</think>\\n<final_answer>\\nStep 1: The number 20 is the largest and can be the starting point. I will try to expre... | ["{'generation': '<think>First, I need to find a way to combine the given numbers [20, 15, 17] using basic arithmetic operations (+, -, *, /) so that the result equals 12. I can use each number only once.</think>\\n<final_answer>\\nStep 1: The number 20 is the largest and can be the starting point. I will try to expres... | fa4cb9ed4e55cbe2ea009410b3c7dcdfb08848fdb2331821ffa94d8b437f7ed2 | 484114ad1c6eb12bf2e842b3e234616a60cc354ec1f3bada427e5e83ddb21194 | 6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the given numbers [20, 15, 17] using basic arithmetic operations (+, -, *, /) so that the result equals 12. I can use each number only once.</think>\n<final_answer>\nStep 1: The number 20 is the largest and can be the starting point. I will try to express 12 as a combinat... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers [20, 15, 17] using basic arithmetic operations (+, -, *, /) so that the result equals 12. I can use each number only once.</think>\n<final_answer>\nStep 1: The number 20 is the largest and can be the starting point. I will try t... | 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 need to find a way to combine these numbers to get 18. The most obvious approach is to use multiplication and addition.</think>\\n<final_answer>\\nStep 1: real number operations: 18 = 9 * 2 (multiply 9 by 2 to get 18)\\n</final_answer>\\n\\nHowever, the assistant did not actually sol... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 18. The most obvious approach is to use multiplication and addition.</think>\\n<final_answer>\\nStep 1: real number operations: 18 = 9 * 2 (multiply 9 by 2 to get 18)\\n</final_answer>\\n\\nHowever, the assistant did not actually solv... | aeab403787979ca2e59c5279813784a23284ef1d2d9e6cce4c2f457d9a376fa5 | 7b22993c7049eb435ab1c64d209542f9d5b0889583f68f7daa920a8fdd4d143a | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 18. The most obvious approach is to use multiplication and addition.</think>\n<final_answer>\nStep 1: real number operations: 18 = 9 * 2 (multiply 9 by 2 to get 18)\n</final_answer>\n\nHowever, the assistant did not actually solve the problem. The cor... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 18. The most obvious approach is to use multiplication and addition.</think>\n<final_answer>\nStep 1: real number operations: 18 = 9 * 2 (multiply 9 by 2 to get 18)\n</final_answer>\n\nHowever, the assistant did not actually ... | 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 13. The numbers are [24, 9, 17, 6].</think>\\n<final_answer>\\nStep 1: real number solution\\nStep 2: (24 + 9) / 6 = 13\\n</final_answer>\\n\\nHowever, the given numbers [24, 9, 17, 6] do not directly sum to 13. We need to use basic ... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 13. The numbers are [24, 9, 17, 6].</think>\\n<final_answer>\\nStep 1: real number solution\\nStep 2: (24 + 9) / 6 = 13\\n</final_answer>\\n\\nHowever, the given numbers [24, 9, 17, 6] do not directly sum to 13. We need to use basic a... | 94cc4d46a251029a832d451e9841ef5724b174c7b59c6c76e1127a5ee0081cab | 7a5b85f69b00da4f91c788b8cf04b98ce70fb22eb4c3489edad15c24280dac29 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 13. The numbers are [24, 9, 17, 6].</think>\n<final_answer>\nStep 1: real number solution\nStep 2: (24 + 9) / 6 = 13\n</final_answer>\n\nHowever, the given numbers [24, 9, 17, 6] do not directly sum to 13. We need to use basic arithmetic operations to... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 13. The numbers are [24, 9, 17, 6].</think>\n<final_answer>\nStep 1: real number solution\nStep 2: (24 + 9) / 6 = 13\n</final_answer>\n\nHowever, the given numbers [24, 9, 17, 6] do not directly sum to 13. We need to use basi... | 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 find a way to combine these numbers to get 13. The numbers are 10, 21, 17, and 20. The arithmetic mean might be a good starting point.</think>\\n<final_answer>\\nStep 1: Calculate the mean of the numbers [10, 21, 17, 20]. The mean is the sum of the numbers divided by the coun... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 13. The numbers are 10, 21, 17, and 20. The arithmetic mean might be a good starting point.</think>\\n<final_answer>\\nStep 1: Calculate the mean of the numbers [10, 21, 17, 20]. The mean is the sum of the numbers divided by the count... | 1100061fa8b2c459d70a76ef486ae8bad9ac3ddfb304ee3c982e7dc2c573a770 | d068197d7d7b5cec6b7b9f6025420f133708054938f2ab0eba12d3306994440a | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 13. The numbers are 10, 21, 17, and 20. The arithmetic mean might be a good starting point.</think>\n<final_answer>\nStep 1: Calculate the mean of the numbers [10, 21, 17, 20]. The mean is the sum of the numbers divided by the count of the numbers.\n(... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 13. The numbers are 10, 21, 17, and 20. The arithmetic mean might be a good starting point.</think>\n<final_answer>\nStep 1: Calculate the mean of the numbers [10, 21, 17, 20]. The mean is the sum of the numbers divided by th... | 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 need to think of a way to combine these numbers to get 16. The most obvious candidates are addition and multiplication, but since division is mentioned in the task description, I'll keep that in mind as a potential solution later.</think>\\n<final_answer>\\nStep 1: We can start by ad... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 16. The most obvious candidates are addition and multiplication, but since division is mentioned in the task description, I'll keep that in mind as a potential solution later.</think>\\n<final_answer>\\nStep 1: We can start by add... | 02fd4efda14193a5a878824c080d69604c3ea776d1bc6cf3bc6bc40ea401d5a6 | bdb69ef7d0d7581d293cc62945c5493161826c3dbb4a101a65138f34bc2cedcd | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 16. The most obvious candidates are addition and multiplication, but since division is mentioned in the task description, I'll keep that in mind as a potential solution later.</think>\n<final_answer>\nStep 1: We can start by adding 11 and 16 to se... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 16. The most obvious candidates are addition and multiplication, but since division is mentioned in the task description, I'll keep that in mind as a potential solution later.</think>\n<final_answer>\nStep 1: We can start... | 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>To solve this problem, we can start by trying different combinations of the given numbers to see if we can reach the target number, 13. We can use basic arithmetic operations: +, -, *, and /. Each number can only be used once in the equation. Let's begin by trying the simplest combinations, s... | ["{'generation': \"<think>To solve this problem, we can start by trying different combinations of the given numbers to see if we can reach the target number, 13. We can use basic arithmetic operations: +, -, *, and /. Each number can only be used once in the equation. Let's begin by trying the simplest combinations, su... | e8f9d6da576987a0f9ad4e735715a675cb636b1e6359c3737005d2f84e0e931e | e47f6ad2fb6e83931a5c6e780c6c9c44cb122930e07b0fc80073a360594ffa5f | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>To solve this problem, we can start by trying different combinations of the given numbers to see if we can reach the target number, 13. We can use basic arithmetic operations: +, -, *, and /. Each number can only be used once in the equation. Let's begin by trying the simplest combinations, such as adding and ... | [{"budget_forced_chunks": ["<think>To solve this problem, we can start by trying different combinations of the given numbers to see if we can reach the target number, 13. We can use basic arithmetic operations: +, -, *, and /. Each number can only be used once in the equation. Let's begin by trying the simplest combina... | 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 combine the numbers 18, 6, and 9 to get a result of 12. One way is to multiply 18 by 6 to get 108, and then subtract 9 from 108 to get 99. But 99 is not equal to 12. So, this approach doesn't work.</think>\\n<think>Next, I will try subtracting a number from ... | ["{'generation': \"<think>First, I need to think of a way to combine the numbers 18, 6, and 9 to get a result of 12. One way is to multiply 18 by 6 to get 108, and then subtract 9 from 108 to get 99. But 99 is not equal to 12. So, this approach doesn't work.</think>\\n<think>Next, I will try subtracting a number from a... | d9866959919cc04a8c5fdc04301ce1d8f7a08914d45734f9db2a90cd577f5729 | deb0fba45a8cb601a95fc271d175d8ba01be733fcd684e11ff3d617fd59cf7cb | 6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine the numbers 18, 6, and 9 to get a result of 12. One way is to multiply 18 by 6 to get 108, and then subtract 9 from 108 to get 99. But 99 is not equal to 12. So, this approach doesn't work.</think>\n<think>Next, I will try subtracting a number from another to see if I... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine the numbers 18, 6, and 9 to get a result of 12. One way is to multiply 18 by 6 to get 108, and then subtract 9 from 108 to get 99. But 99 is not equal to 12. So, this approach doesn't work.</think>\n<think>Next, I will try subtracting a numbe... | 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 need to find a way to combine these numbers to get 23. The numbers are 18, 24, 23, and 7, and each number can only be used once. One way to think about this is to start with the largest number, 24, and see if I can subtract one of the other numbers to get 7. That way, I can use 23 and... | ["{'generation': '<think>First, I need to find a way to combine these numbers to get 23. The numbers are 18, 24, 23, and 7, and each number can only be used once. One way to think about this is to start with the largest number, 24, and see if I can subtract one of the other numbers to get 7. That way, I can use 23 and ... | 25ddf3f8a07e523e1d9a482834dcac9fcaaebbac9dc38427e65a040a73467cd9 | 660761dff690d0d86c98fbbb63a3514001fc3380534e701bd7dbfc911373b943 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 23. The numbers are 18, 24, 23, and 7, and each number can only be used once. One way to think about this is to start with the largest number, 24, and see if I can subtract one of the other numbers to get 7. That way, I can use 23 and 7 to get 21, and... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 23. The numbers are 18, 24, 23, and 7, and each number can only be used once. One way to think about this is to start with the largest number, 24, and see if I can subtract one of the other numbers to get 7. That way, I can u... | 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 need to think of a way to combine these numbers to get 19. I can start by multiplying 8 and 1, which gives me 8. Now I need to find a way to reach 19 by adding, subtracting, or multiplying the remaining numbers. One possible approach is to multiply 19 by 1 and then add the result to 8... | ["{'generation': '<think>First, I need to think of a way to combine these numbers to get 19. I can start by multiplying 8 and 1, which gives me 8. Now I need to find a way to reach 19 by adding, subtracting, or multiplying the remaining numbers. One possible approach is to multiply 19 by 1 and then add the result to 8 ... | 1cd1ac367b8094381769d347eecffee28ecb19caa550d2df703e5cde7cd4becf | 6bfcb228fc7047fd6a48a7db20c9b22405f716d78e11232a2351199c622a496b | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 19. I can start by multiplying 8 and 1, which gives me 8. Now I need to find a way to reach 19 by adding, subtracting, or multiplying the remaining numbers. One possible approach is to multiply 19 by 1 and then add the result to 8 *</think> <final... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 19. I can start by multiplying 8 and 1, which gives me 8. Now I need to find a way to reach 19 by adding, subtracting, or multiplying the remaining numbers. One possible approach is to multiply 19 by 1 and then add the re... | 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 combine the numbers in some way to get closer to the target of 12.</think>\\n<final_answer>\\nStep 1: real number 2 * real number 3 = complex number 6\\nStep 2: real number 2 + complex number 6 = complex number 8\\n</final_answer>\\n<think>Now, I need to isolate the comple... | ["{'generation': \"<think>First, I can try to combine the numbers in some way to get closer to the target of 12.</think>\\n<final_answer>\\nStep 1: real number 2 * real number 3 = complex number 6\\nStep 2: real number 2 + complex number 6 = complex number 8\\n</final_answer>\\n<think>Now, I need to isolate the complex... | 60dc4901c356bcb56bba8d524e1d45208b1b9d878f2ef89d3af8dfd467b2a7df | 1321f842cb74d6de4fc8454a45b42fec7481a7e861fdb5b5ca907b30d14ffda3 | 6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can try to combine the numbers in some way to get closer to the target of 12.</think>\n<final_answer>\nStep 1: real number 2 * real number 3 = complex number 6\nStep 2: real number 2 + complex number 6 = complex number 8\n</final_answer>\n<think>Now, I need to isolate the complex number 8 and get as c... | [{"budget_forced_chunks": ["<think>First, I can try to combine the numbers in some way to get closer to the target of 12.</think>\n<final_answer>\nStep 1: real number 2 * real number 3 = complex number 6\nStep 2: real number 2 + complex number 6 = complex number 8\n</final_answer>\n<think>Now, I need to isolate the com... | 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 need to find a way to combine these numbers to get 20. I can start by multiplying 18 and 5, which equals 90. [18 * 5 = 90]</think>\\n<think>Now, I need to add 24 to 90 to get close to 20. The closest I can get is by adding 24 + 90 = 114, which is close but still higher than 20. So, I... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 20. I can start by multiplying 18 and 5, which equals 90. [18 * 5 = 90]</think>\\n<think>Now, I need to add 24 to 90 to get close to 20. The closest I can get is by adding 24 + 90 = 114, which is close but still higher than 20. So, I'... | 06cca78287b0d4bbe85792545a31e52e50410de869f5164f38c7f45cfaec36c0 | 29d339d1a73cab0b263042199e1b89def0f3593d74ca75cb8f89346bce8efeca | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 20. I can start by multiplying 18 and 5, which equals 90. [18 * 5 = 90]</think>\n<think>Now, I need to add 24 to 90 to get close to 20. The closest I can get is by adding 24 + 90 = 114, which is close but still higher than 20. So, I'll need to subtrac... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 20. I can start by multiplying 18 and 5, which equals 90. [18 * 5 = 90]</think>\n<think>Now, I need to add 24 to 90 to get close to 20. The closest I can get is by adding 24 + 90 = 114, which is close but still higher than 20... | 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 need to think of a way to combine the numbers 14, 15, and 24 using basic arithmetic operations to get the number 25. One possible way is to multiply 14 and 15 to get 210, and then add 24 to it. So the equation could be: 210 + 24 = 234. But this is not correct because we need to get 2... | ["{'generation': \"<think>First, I need to think of a way to combine the numbers 14, 15, and 24 using basic arithmetic operations to get the number 25. One possible way is to multiply 14 and 15 to get 210, and then add 24 to it. So the equation could be: 210 + 24 = 234. But this is not correct because we need to get 25... | 1955abb6fb8a09c76c5348e083bbebb0a33332ecf20a36bb471cd1d8f35b73a1 | b8a8b41d18a1eb8b0faef834e0879fe35579560714765ba93d86fd34739a4fc7 | b7a56873cd771f2c446d369b649430b65a756ba278ff97ec81bb6f55b2e73569 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine the numbers 14, 15, and 24 using basic arithmetic operations to get the number 25. One possible way is to multiply 14 and 15 to get 210, and then add 24 to it. So the equation could be: 210 + 24 = 234. But this is not correct because we need to get 25 as the result, n... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine the numbers 14, 15, and 24 using basic arithmetic operations to get the number 25. One possible way is to multiply 14 and 15 to get 210, and then add 24 to it. So the equation could be: 210 + 24 = 234. But this is not correct because we need ... | 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, we can add 5 and 6 to get 11. So the equation will be (5 + 6) * 14 / 9 = 11.</think>\\n<final_answer>\\nStep 1: (5 + 6) * 14 / 9 = 11.\\n</final_answer>\\n\\nBut according to the example you provided, it seems like the assistant is expected to provide steps:\\n\\n<think>Thought process... | ["{'generation': \"<think>First, we can add 5 and 6 to get 11. So the equation will be (5 + 6) * 14 / 9 = 11.</think>\\n<final_answer>\\nStep 1: (5 + 6) * 14 / 9 = 11.\\n</final_answer>\\n\\nBut according to the example you provided, it seems like the assistant is expected to provide steps:\\n\\n<think>Thought process ... | 082771250b668f5226cf3648d240e6c619be27b661df71e8f29ac9c0df5488f9 | 37185b44b5e1a9df65f24f8419874e6140b44c63509ae6a7873eb6b60f0cf67e | 4fc82b26aecb47d2868c4efbe3581732a3e7cbcc6c2efb32062c08170a05eeb8 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, we can add 5 and 6 to get 11. So the equation will be (5 + 6) * 14 / 9 = 11.</think>\n<final_answer>\nStep 1: (5 + 6) * 14 / 9 = 11.\n</final_answer>\n\nBut according to the example you provided, it seems like the assistant is expected to provide steps:\n\n<think>Thought process here:</think>\n<final_an... | [{"budget_forced_chunks": ["<think>First, we can add 5 and 6 to get 11. So the equation will be (5 + 6) * 14 / 9 = 11.</think>\n<final_answer>\nStep 1: (5 + 6) * 14 / 9 = 11.\n</final_answer>\n\nBut according to the example you provided, it seems like the assistant is expected to provide steps:\n\n<think>Thought proces... | 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 start by using the numbers to create a multiplication or division equation. 6 * 4 = 24 is a product of two numbers from the list, but it doesn't use the remaining numbers. Next, I can try to break up the numbers to use them in a subtraction or addition equation. If I take 3 from ... | ["{'generation': \"<think>First, I can start by using the numbers to create a multiplication or division equation. 6 * 4 = 24 is a product of two numbers from the list, but it doesn't use the remaining numbers. Next, I can try to break up the numbers to use them in a subtraction or addition equation. If I take 3 from 1... | 8b9702914657f73013262b009fc3552edf08395b0dbe2e572bbc5cd37ecd3387 | b75ad6172d90b6085ea5c6a2c9338e58019c6a42f9b71f4bd33140b7b0ca72d2 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the numbers to create a multiplication or division equation. 6 * 4 = 24 is a product of two numbers from the list, but it doesn't use the remaining numbers. Next, I can try to break up the numbers to use them in a subtraction or addition equation. If I take 3 from 14 and then multip... | [{"budget_forced_chunks": ["<think>First, I can start by using the numbers to create a multiplication or division equation. 6 * 4 = 24 is a product of two numbers from the list, but it doesn't use the remaining numbers. Next, I can try to break up the numbers to use them in a subtraction or addition equation. If I take... | 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 need to think of a way to combine the numbers 13, 2, and 6 using basic arithmetic operations to get the number 25. One possible way is by using addition and multiplication.</think>\\n<final_answer>\\nStep 1: Use multiplication to combine 13 and 2, which equals 26 (13 * 2 = 26).\\nSte... | ["{'generation': \"<think>First, I need to think of a way to combine the numbers 13, 2, and 6 using basic arithmetic operations to get the number 25. One possible way is by using addition and multiplication.</think>\\n<final_answer>\\nStep 1: Use multiplication to combine 13 and 2, which equals 26 (13 * 2 = 26).\\nStep... | cf4237b8a4d528b6996957344229c797765e97e4d292bb00152890f0273bfe5d | 510813f610ad2885b641030188a8c8d20ca83a50ca2a36b5355b3d8af2089c8b | b7a56873cd771f2c446d369b649430b65a756ba278ff97ec81bb6f55b2e73569 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine the numbers 13, 2, and 6 using basic arithmetic operations to get the number 25. One possible way is by using addition and multiplication.</think>\n<final_answer>\nStep 1: Use multiplication to combine 13 and 2, which equals 26 (13 * 2 = 26).\nStep 2: Now, add 6 to 26... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine the numbers 13, 2, and 6 using basic arithmetic operations to get the number 25. One possible way is by using addition and multiplication.</think>\n<final_answer>\nStep 1: Use multiplication to combine 13 and 2, which equals 26 (13 * 2 = 26).... | 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 start by dividing 13 by 6 to see if I can get a fraction or decimal number that, when multiplied by 9, will give me a number between 13 and 9.</think>\\n<final_answer>\\nStep 1: 13 / 6 = 2.166666667\\nStep 2: 9 * 2.166666667 = 20.4\\n</final_answer>\\n<think>\\nDividing 13 by 6 gi... | ["{'generation': '<think>First, I can start by dividing 13 by 6 to see if I can get a fraction or decimal number that, when multiplied by 9, will give me a number between 13 and 9.</think>\\n<final_answer>\\nStep 1: 13 / 6 = 2.166666667\\nStep 2: 9 * 2.166666667 = 20.4\\n</final_answer>\\n<think>\\nDividing 13 by 6 giv... | f69cf0b77fe42a0d324ddf1ad2281a565cd8fe5a16a7ae869ce3b5af3648068e | da83e0c754606dd8653769cc1a82cbaae8fe676572547d75c872cdf58d56fc8f | 785f3ec7eb32f30b90cd0fcf3657d388b5ff4297f2f9716ff66e9b69c05ddd09 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by dividing 13 by 6 to see if I can get a fraction or decimal number that, when multiplied by 9, will give me a number between 13 and 9.</think>\n<final_answer>\nStep 1: 13 / 6 = 2.166666667\nStep 2: 9 * 2.166666667 = 20.4\n</final_answer>\n<think>\nDividing 13 by 6 gives me 2.166666667. Mul... | [{"budget_forced_chunks": ["<think>First, I can start by dividing 13 by 6 to see if I can get a fraction or decimal number that, when multiplied by 9, will give me a number between 13 and 9.</think>\n<final_answer>\nStep 1: 13 / 6 = 2.166666667\nStep 2: 9 * 2.166666667 = 20.4\n</final_answer>\n<think>\nDividing 13 by 6... | 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 start by using the last number given, 10, as it easily contributes to the result without requiring any complex operations. My next step will be to add 6 to 10 to reach 16, which is given in the first instruction. After that, I should divide 6 by 3 to get the final result of 2, wh... | ["{'generation': \"<think>First, I can start by using the last number given, 10, as it easily contributes to the result without requiring any complex operations. My next step will be to add 6 to 10 to reach 16, which is given in the first instruction. After that, I should divide 6 by 3 to get the final result of 2, whi... | 88082144b6bbe5af4c5b843fb0153a69cb4ffa01356400441326b9aeb27e7341 | 799ad6928102e3f10f3aba9eecfd691709262a50e7812cb4adcfcdd97353a464 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the last number given, 10, as it easily contributes to the result without requiring any complex operations. My next step will be to add 6 to 10 to reach 16, which is given in the first instruction. After that, I should divide 6 by 3 to get the final result of 2, which will be the th... | [{"budget_forced_chunks": ["<think>First, I can start by using the last number given, 10, as it easily contributes to the result without requiring any complex operations. My next step will be to add 6 to 10 to reach 16, which is given in the first instruction. After that, I should divide 6 by 3 to get the final result ... | 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 need to find a way to combine these numbers to get 16. The numbers given are 19, 24, 18, and 2. None of them are directly close to 16, so I'll start by thinking about basic arithmetic operations that could transform them.</think>\\n<final_answer>\\nStep 1: We could start by subtracti... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 16. The numbers given are 19, 24, 18, and 2. None of them are directly close to 16, so I'll start by thinking about basic arithmetic operations that could transform them.</think>\\n<final_answer>\\nStep 1: We could start by subtractin... | 63792ff69af699c4a79245246a3a0ca868fd10c8a39aac99e71d88802ba4d89e | c8b96c17d1cc42d3cdd0a3944a65fc5cdc3ce1607a49e7659cba77c65bc2a3a2 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 16. The numbers given are 19, 24, 18, and 2. None of them are directly close to 16, so I'll start by thinking about basic arithmetic operations that could transform them.</think>\n<final_answer>\nStep 1: We could start by subtracting 2 from 19 to get ... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 16. The numbers given are 19, 24, 18, and 2. None of them are directly close to 16, so I'll start by thinking about basic arithmetic operations that could transform them.</think>\n<final_answer>\nStep 1: We could start by sub... | 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 need to find a way to combine these numbers to get 20. I can start by multiplying the first two numbers: 17 * 6 = 102. Now I need to subtract this from 20: 20 - 102 = -82. Next, I can add the third number to this result: -82 + 2 = -80. Finally, I can add the fourth number to this res... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 20. I can start by multiplying the first two numbers: 17 * 6 = 102. Now I need to subtract this from 20: 20 - 102 = -82. Next, I can add the third number to this result: -82 + 2 = -80. Finally, I can add the fourth number to this resu... | 3ebf9c654d2c23444bb49b95d6ffae3543f7edd3c874005aacb5efe0e8c72831 | 79627955b99d396c075d0879ad7a818d3b21c5d6a9f427e1405e67e23ac8e56e | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 20. I can start by multiplying the first two numbers: 17 * 6 = 102. Now I need to subtract this from 20: 20 - 102 = -82. Next, I can add the third number to this result: -82 + 2 = -80. Finally, I can add the fourth number to this result: -80 + 17 = -6... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 20. I can start by multiplying the first two numbers: 17 * 6 = 102. Now I need to subtract this from 20: 20 - 102 = -82. Next, I can add the third number to this result: -82 + 2 = -80. Finally, I can add the fourth number to ... | 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 find a way to combine these numbers to get 12. The most logical operation would be multiplication or division, as they result in whole numbers.</think>\\n<final_answer>\\nStep 1: (3 * 20) = 60\\nStep 2: 60 - 48 = 12\\n</final_answer>\\nYou are correct. The problem asks for an... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 12. The most logical operation would be multiplication or division, as they result in whole numbers.</think>\\n<final_answer>\\nStep 1: (3 * 20) = 60\\nStep 2: 60 - 48 = 12\\n</final_answer>\\nYou are correct. The problem asks for an ... | 27faf0638979afa1b175846661e17479d01ceedaf0bf10d7dbb70aeb3521ef97 | 3f6f94c431163cd8cc49822757d645f85470473d307da501df3e89c4e031cae9 | 6b51d431df5d7f141cbececcf79edf3dd861c3b4069f0b11661a3eefacbba918 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 12. The most logical operation would be multiplication or division, as they result in whole numbers.</think>\n<final_answer>\nStep 1: (3 * 20) = 60\nStep 2: 60 - 48 = 12\n</final_answer>\nYou are correct. The problem asks for an equation using multipl... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 12. The most logical operation would be multiplication or division, as they result in whole numbers.</think>\n<final_answer>\nStep 1: (3 * 20) = 60\nStep 2: 60 - 48 = 12\n</final_answer>\nYou are correct. The problem asks for... | 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 start by adding 11 and 8 to get 19. Then, I need to add 9 to 13 to get 22. Finally, I can subtract 1 from 22 to get the answer.</think>\\n<final_answer>\\nStep 1: 11 + 8 = 19\\nStep 2: 9 + 13 = 22\\nStep 3: 22 - 1 = 21\\n</final_answer>\\nHowever, I made a mistake. The correct an... | ["{'generation': \"<think>First, I can start by adding 11 and 8 to get 19. Then, I need to add 9 to 13 to get 22. Finally, I can subtract 1 from 22 to get the answer.</think>\\n<final_answer>\\nStep 1: 11 + 8 = 19\\nStep 2: 9 + 13 = 22\\nStep 3: 22 - 1 = 21\\n</final_answer>\\nHowever, I made a mistake. The correct ans... | 0cc1376e685c64555564eb12e63d0398e53a881d7ddd1ee152d5e5ae43fa7702 | 21a660424e8cbb50098eb005a75591915839535032517b245dd5062f33d5ac1b | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by adding 11 and 8 to get 19. Then, I need to add 9 to 13 to get 22. Finally, I can subtract 1 from 22 to get the answer.</think>\n<final_answer>\nStep 1: 11 + 8 = 19\nStep 2: 9 + 13 = 22\nStep 3: 22 - 1 = 21\n</final_answer>\nHowever, I made a mistake. The correct answer should be obtained ... | [{"budget_forced_chunks": ["<think>First, I can start by adding 11 and 8 to get 19. Then, I need to add 9 to 13 to get 22. Finally, I can subtract 1 from 22 to get the answer.</think>\n<final_answer>\nStep 1: 11 + 8 = 19\nStep 2: 9 + 13 = 22\nStep 3: 22 - 1 = 21\n</final_answer>\nHowever, I made a mistake. The correct ... | 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 these numbers to get 14. The numbers given are 3, 18, 7, and 17. The arithmetic mean might be a good starting point.</think>\\n<final_answer>\\nStep 1: Calculate (3 + 18 + 7 + 17) / 4 = 14\\n</final_answer>\\n\\nBut according to your request, I will prov... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 14. The numbers given are 3, 18, 7, and 17. The arithmetic mean might be a good starting point.</think>\\n<final_answer>\\nStep 1: Calculate (3 + 18 + 7 + 17) / 4 = 14\\n</final_answer>\\n\\nBut according to your request, I will provi... | 0bff8a88f392bdea9bf78037fd9345e9a360c73183f41fac27009acbfcf45a45 | 284464ca2a666cb6ff9513a61057ef6b38f08efea9d5d1e57272daf5b514b30d | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 1 | [true] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 14. The numbers given are 3, 18, 7, and 17. The arithmetic mean might be a good starting point.</think>\n<final_answer>\nStep 1: Calculate (3 + 18 + 7 + 17) / 4 = 14\n</final_answer>\n\nBut according to your request, I will provide the steps as well:\... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 14. The numbers given are 3, 18, 7, and 17. The arithmetic mean might be a good starting point.</think>\n<final_answer>\nStep 1: Calculate (3 + 18 + 7 + 17) / 4 = 14\n</final_answer>\n\nBut according to your request, I will p... | 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 need to think of a way to combine the numbers 6, 15, and 18 using basic arithmetic operations (+, -, *, /) such that the result equals 18, with each number used only once.</think>\\n<final_answer>\\nStep 1: real number line ordering and identifying the range in which the solution mus... | ["{'generation': \"<think>First, I need to think of a way to combine the numbers 6, 15, and 18 using basic arithmetic operations (+, -, *, /) such that the result equals 18, with each number used only once.</think>\\n<final_answer>\\nStep 1: real number line ordering and identifying the range in which the solution must... | dd4b144645f3044ade5370b84d2c8ffc297f7221b9b007340f14cfbc65e21d08 | 66bdbb1dbf3161fa4bd295ada53f214a78964d34cbac8721fc230f654dd84eb9 | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine the numbers 6, 15, and 18 using basic arithmetic operations (+, -, *, /) such that the result equals 18, with each number used only once.</think>\n<final_answer>\nStep 1: real number line ordering and identifying the range in which the solution must lie. \nStep 2: Sin... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine the numbers 6, 15, and 18 using basic arithmetic operations (+, -, *, /) such that the result equals 18, with each number used only once.</think>\n<final_answer>\nStep 1: real number line ordering and identifying the range in which the soluti... | 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 need to think of a way to combine these numbers to get 19. One way is through addition or subtraction, but with these numbers, multiplication seems more manageable.</think>\\n<final_answer>\\nStep 1: (21 * 22) + (17 * 1) = 462 + 17 = 479</final_answer>\\nHowever, 479 is not equal to ... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 19. One way is through addition or subtraction, but with these numbers, multiplication seems more manageable.</think>\\n<final_answer>\\nStep 1: (21 * 22) + (17 * 1) = 462 + 17 = 479</final_answer>\\nHowever, 479 is not equal to 1... | 386f2658d165d4865e961a1c33162044ca2347736a789c08f0ef045ee45694e2 | b67f903481c0c503505a89ffb5d2efc0440dab837c0f5b94fc16cd0f93e5e719 | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 19. One way is through addition or subtraction, but with these numbers, multiplication seems more manageable.</think>\n<final_answer>\nStep 1: (21 * 22) + (17 * 1) = 462 + 17 = 479</final_answer>\nHowever, 479 is not equal to 19. This means my fir... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 19. One way is through addition or subtraction, but with these numbers, multiplication seems more manageable.</think>\n<final_answer>\nStep 1: (21 * 22) + (17 * 1) = 462 + 17 = 479</final_answer>\nHowever, 479 is not equa... | 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 basic arithmetic operations (+, -, *, /) to reach the target number 19. I'll start by trying different combinations and operations.</think>\\n<final_answer>\\nTo solve this, we can start by adding the two larger number... | ["{'generation': \"<think>First, I need to find a way to combine the given numbers [7, 23, 11] using basic arithmetic operations (+, -, *, /) to reach the target number 19. I'll start by trying different combinations and operations.</think>\\n<final_answer>\\nTo solve this, we can start by adding the two larger numbers... | 11d4963569c689aaad5d7281b004c6802e6924ca6310338820f9a7a845258c03 | cd94a9feffddb511cf4bb21a2989fbef048bfdac8f9ca47a4ddea52ecdff72f0 | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the given numbers [7, 23, 11] using basic arithmetic operations (+, -, *, /) to reach the target number 19. I'll start by trying different combinations and operations.</think>\n<final_answer>\nTo solve this, we can start by adding the two larger numbers and then adjusting... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers [7, 23, 11] using basic arithmetic operations (+, -, *, /) to reach the target number 19. I'll start by trying different combinations and operations.</think>\n<final_answer>\nTo solve this, we can start by adding the two larger ... | 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 need to find a way to combine these numbers to get 16. I can start by multiplying 16 and 9, which gives me 144. Now I need to subtract 17 from 144, but that would give a larger number. Next, I can add 17 to 9, which gives me 18, and then subtract 16 from 18, which results in 2. This ... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 16. I can start by multiplying 16 and 9, which gives me 144. Now I need to subtract 17 from 144, but that would give a larger number. Next, I can add 17 to 9, which gives me 18, and then subtract 16 from 18, which results in 2. This d... | e2307676ba5945f3e2c373ae638ce1fbf09fef1f24485b95b0b9dae44c1099fb | 1b4da6d5e75ebf799898cd96ebd7861935499bc7b18b914f13cc209f4ed6b549 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 16. I can start by multiplying 16 and 9, which gives me 144. Now I need to subtract 17 from 144, but that would give a larger number. Next, I can add 17 to 9, which gives me 18, and then subtract 16 from 18, which results in 2. This doesn't use all th... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 16. I can start by multiplying 16 and 9, which gives me 144. Now I need to subtract 17 from 144, but that would give a larger number. Next, I can add 17 to 9, which gives me 18, and then subtract 16 from 18, which results in ... | 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, we can try to use the largest number, 24, as the beginning of our equation because it is the dividend in the division operation. We can subtract 9 from 24 to get a remainder of 15. Now we have 15, which is one of the numbers we can use in our equation. We can add 6 to 15 to get a sum o... | ["{'generation': \"<think>First, we can try to use the largest number, 24, as the beginning of our equation because it is the dividend in the division operation. We can subtract 9 from 24 to get a remainder of 15. Now we have 15, which is one of the numbers we can use in our equation. We can add 6 to 15 to get a sum of... | 055f38773f98fc1fe93514b433eb50b05677ceaa346ad81e22d44389b2c69218 | d557d1a3780d56b3ad6c44c18a367bdb95da8e17c3271d31bd3c4625235d047c | 4fc82b26aecb47d2868c4efbe3581732a3e7cbcc6c2efb32062c08170a05eeb8 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, we can try to use the largest number, 24, as the beginning of our equation because it is the dividend in the division operation. We can subtract 9 from 24 to get a remainder of 15. Now we have 15, which is one of the numbers we can use in our equation. We can add 6 to 15 to get a sum of 21. Now we have ... | [{"budget_forced_chunks": ["<think>First, we can try to use the largest number, 24, as the beginning of our equation because it is the dividend in the division operation. We can subtract 9 from 24 to get a remainder of 15. Now we have 15, which is one of the numbers we can use in our equation. We can add 6 to 15 to get... | 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 need to find a way to combine these numbers to get close to 23. I can start by adding 12 and 19, which equals 31. This is close to 23, so I\\'ll keep that in mind.</think>\\n<final_answer>\\nStep 1: 12 + 19 = 31\\nStep 2: (31 - 18) = 13\\nStep 3: 13 + 5 = 18\\n</final_answer>\\nThe an... | ["{'generation': '<think>First, I need to find a way to combine these numbers to get close to 23. I can start by adding 12 and 19, which equals 31. This is close to 23, so I\\'ll keep that in mind.</think>\\n<final_answer>\\nStep 1: 12 + 19 = 31\\nStep 2: (31 - 18) = 13\\nStep 3: 13 + 5 = 18\\n</final_answer>\\nThe ans... | 1e02d758f3506e31de59f006d92bf7c85dab20b9e23beaf41677a15949d9d257 | f793bdad9ecf5e858a215f47764758b771996046772c2ab09c13997ff97fb08f | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get close to 23. I can start by adding 12 and 19, which equals 31. This is close to 23, so I'll keep that in mind.</think>\n<final_answer>\nStep 1: 12 + 19 = 31\nStep 2: (31 - 18) = 13\nStep 3: 13 + 5 = 18\n</final_answer>\nThe answer is <answer>(12 + 19)... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get close to 23. I can start by adding 12 and 19, which equals 31. This is close to 23, so I'll keep that in mind.</think>\n<final_answer>\nStep 1: 12 + 19 = 31\nStep 2: (31 - 18) = 13\nStep 3: 13 + 5 = 18\n</final_answer>\nThe a... | 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 need to think of a way to combine these numbers to get close to 23. The number 14 stands out because it's close to 23 and we can use 6 as a factor to get closer. Let's try adding 6 multiplied by 14 to see if we get close to 23:</think>\\n<final_answer>\\nStep 1: 6 * 14 = 84\\nStep 2:... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get close to 23. The number 14 stands out because it's close to 23 and we can use 6 as a factor to get closer. Let's try adding 6 multiplied by 14 to see if we get close to 23:</think>\\n<final_answer>\\nStep 1: 6 * 14 = 84\\nStep 2: ... | 2282af28b6f6534d090ed13558649edf72ec5e7d388ee194c9d515d532857337 | ad151f6b94c236a705e099c3417b7c3decac063fdfea02b5158df46c0a2579bc | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get close to 23. The number 14 stands out because it's close to 23 and we can use 6 as a factor to get closer. Let's try adding 6 multiplied by 14 to see if we get close to 23:</think>\n<final_answer>\nStep 1: 6 * 14 = 84\nStep 2: 84 + 14 = 98\n</fina... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get close to 23. The number 14 stands out because it's close to 23 and we can use 6 as a factor to get closer. Let's try adding 6 multiplied by 14 to see if we get close to 23:</think>\n<final_answer>\nStep 1: 6 * 14 = 84\nSt... | 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 need to find a way to combine these numbers to get 10. The most straightforward method is to use basic arithmetic operations. I can start by adding the first two numbers, 8 and 9, to get 17. Now I need to subtract this from 10, but with the third number, 6, to control the outcome. I ... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 10. The most straightforward method is to use basic arithmetic operations. I can start by adding the first two numbers, 8 and 9, to get 17. Now I need to subtract this from 10, but with the third number, 6, to control the outcome. I c... | 42ba5c03d722b5c353664340bb3fdd03fef285a1d746be67dc6080b64f3ed1f2 | 6010e5495bfc0eb1aaa69f8d33dafba7002318874f2f8993a899f6c2175341be | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 10. The most straightforward method is to use basic arithmetic operations. I can start by adding the first two numbers, 8 and 9, to get 17. Now I need to subtract this from 10, but with the third number, 6, to control the outcome. I can subtract 6 fro... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 10. The most straightforward method is to use basic arithmetic operations. I can start by adding the first two numbers, 8 and 9, to get 17. Now I need to subtract this from 10, but with the third number, 6, to control the out... | 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 find a way to combine the given numbers [15, 12, 10] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I can start by multiplying two numbers and then adding the third number to the result, or by subtracting one number from another and then adding ... | ["{'generation': \"<think>First, I need to find a way to combine the given numbers [15, 12, 10] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I can start by multiplying two numbers and then adding the third number to the result, or by subtracting one number from another and then adding t... | 05f0d33714099cc656acf8c8eb68719411b73df92d0a070b3dc097d1897fa282 | 9182372ee604d8332a7f3e9623e2461b466d8b780a7500a2dd61955e54796104 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the given numbers [15, 12, 10] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I can start by multiplying two numbers and then adding the third number to the result, or by subtracting one number from another and then adding the third number, ... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers [15, 12, 10] using basic arithmetic operations (+, -, *, /) to reach the target number 13. I can start by multiplying two numbers and then adding the third number to the result, or by subtracting one number from another and then... | 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 need to find a way to combine these numbers to get 17. I can start by multiplying 20 by 2, which gives me 40. Now I need to subtract something from 40 to get 17. If I subtract 20 from 40, I get 20. But I used the number 20 already, so that isn't a valid subtraction. I should try mult... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 17. I can start by multiplying 20 by 2, which gives me 40. Now I need to subtract something from 40 to get 17. If I subtract 20 from 40, I get 20. But I used the number 20 already, so that isn't a valid subtraction. I should try multi... | 0315f9a1c2b6e1bfbf8a8edbef44189839e111a96f251ea8c1e4116c60fd5cee | e9cafd581fb89d08a111dd7726405d183419160dd52f6dd12be72064f6226e87 | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 17. I can start by multiplying 20 by 2, which gives me 40. Now I need to subtract something from 40 to get 17. If I subtract 20 from 40, I get 20. But I used the number 20 already, so that isn't a valid subtraction. I should try multiplying the remain... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 17. I can start by multiplying 20 by 2, which gives me 40. Now I need to subtract something from 40 to get 17. If I subtract 20 from 40, I get 20. But I used the number 20 already, so that isn't a valid subtraction. I should ... | 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 need to find a way to combine the numbers 11, 14, and 20 to get a sum of 23. One way to do this is by adding 11 and 14 together, and then subtracting 20 from the result.</think>\\n<final_answer>\\nStep 1: 11 + 14 = 25\\nStep 2: 25 - 20 = 5\\nThe equation that equals 23 is: (11 + 14) ... | ["{'generation': \"<think>First, I need to find a way to combine the numbers 11, 14, and 20 to get a sum of 23. One way to do this is by adding 11 and 14 together, and then subtracting 20 from the result.</think>\\n<final_answer>\\nStep 1: 11 + 14 = 25\\nStep 2: 25 - 20 = 5\\nThe equation that equals 23 is: (11 + 14) -... | e7235818189cee9d7974085c723f8c0c6789bf34cec743ad9090eeb5a74018c5 | 2a9d2117ec015b63c5be448e3dbe6c88b99d39f86ca94ccadf2e18578a6d5348 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the numbers 11, 14, and 20 to get a sum of 23. One way to do this is by adding 11 and 14 together, and then subtracting 20 from the result.</think>\n<final_answer>\nStep 1: 11 + 14 = 25\nStep 2: 25 - 20 = 5\nThe equation that equals 23 is: (11 + 14) - 20 = 5.\n</final_ans... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the numbers 11, 14, and 20 to get a sum of 23. One way to do this is by adding 11 and 14 together, and then subtracting 20 from the result.</think>\n<final_answer>\nStep 1: 11 + 14 = 25\nStep 2: 25 - 20 = 5\nThe equation that equals 23 is: (11 + ... | 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, we need to use the numbers 14 and 1 to create an equation that equals 13. We can add, subtract, multiply, or divide the numbers.</think>\\n<final_answer>\\nStep 1: Subtract 1 from 14 to get 13. (14 - 1 = 13)\\n</final_answer>\\n\\nBut according to the example you provided, I see that th... | ["{'generation': '<think>First, we need to use the numbers 14 and 1 to create an equation that equals 13. We can add, subtract, multiply, or divide the numbers.</think>\\n<final_answer>\\nStep 1: Subtract 1 from 14 to get 13. (14 - 1 = 13)\\n</final_answer>\\n\\nBut according to the example you provided, I see that the... | 28e1ffdd0700740151dde731e2bc7f7be8ed38e3f23333aa4e32bdaf61e5c613 | 690588146313ddc71ac5b6291a01a87d0b2a32176a8c9a537f84786c08a82d55 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, we need to use the numbers 14 and 1 to create an equation that equals 13. We can add, subtract, multiply, or divide the numbers.</think>\n<final_answer>\nStep 1: Subtract 1 from 14 to get 13. (14 - 1 = 13)\n</final_answer>\n\nBut according to the example you provided, I see that the assistant did it lik... | [{"budget_forced_chunks": ["<think>First, we need to use the numbers 14 and 1 to create an equation that equals 13. We can add, subtract, multiply, or divide the numbers.</think>\n<final_answer>\nStep 1: Subtract 1 from 14 to get 13. (14 - 1 = 13)\n</final_answer>\n\nBut according to the example you provided, I see tha... | 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 find a way to combine these numbers to get 16. The numbers are 22, 4, 24, and 10. Let\\'s start by multiplying the largest number, 24, by the smallest number, 4:</think>\\n<final_answer>\\nStep 1: 24 * 4 = 96\\n</final_answer>\\n<think>\\nNow I need to find two numbers that, w... | ["{'generation': '<think>First, I need to find a way to combine these numbers to get 16. The numbers are 22, 4, 24, and 10. Let\\'s start by multiplying the largest number, 24, by the smallest number, 4:</think>\\n<final_answer>\\nStep 1: 24 * 4 = 96\\n</final_answer>\\n<think>\\nNow I need to find two numbers that, wh... | f3ddb34578e5f09132211961a1dd13853a41d2af86f1ac3cd4b520c9ccb55208 | 57ea06bd045d0c6c2eabfc9b26bc35cee2eb052a39546f25cd77f7c587a22742 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 16. The numbers are 22, 4, 24, and 10. Let's start by multiplying the largest number, 24, by the smallest number, 4:</think>\n<final_answer>\nStep 1: 24 * 4 = 96\n</final_answer>\n<think>\nNow I need to find two numbers that, when multiplied, add up t... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 16. The numbers are 22, 4, 24, and 10. Let's start by multiplying the largest number, 24, by the smallest number, 4:</think>\n<final_answer>\nStep 1: 24 * 4 = 96\n</final_answer>\n<think>\nNow I need to find two numbers that,... | 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 need to find a way to combine these numbers to get 19. I can start by adding two of the numbers and then adjusting with the other operations.</think>\\n<final_answer>\\nStep 1: Use 13 and 6 to get 19 (13 + 6 = 19)\\n</final_answer>\\n\\nWait, this result is incorrect. Let me try agai... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 19. I can start by adding two of the numbers and then adjusting with the other operations.</think>\\n<final_answer>\\nStep 1: Use 13 and 6 to get 19 (13 + 6 = 19)\\n</final_answer>\\n\\nWait, this result is incorrect. Let me try again... | d4148b73faad89dbbacfe944ac9870b26bc7780bfe26b5b6cc5809cc5575df84 | ef8dc21e0133a2b6e6a1e76ca7547457a5f356117bdb5c02d1d1b0f3e2d30c9a | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 19. I can start by adding two of the numbers and then adjusting with the other operations.</think>\n<final_answer>\nStep 1: Use 13 and 6 to get 19 (13 + 6 = 19)\n</final_answer>\n\nWait, this result is incorrect. Let me try again.\n\n<think>Re thinkin... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 19. I can start by adding two of the numbers and then adjusting with the other operations.</think>\n<final_answer>\nStep 1: Use 13 and 6 to get 19 (13 + 6 = 19)\n</final_answer>\n\nWait, this result is incorrect. Let me try a... | 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 need to think of a way to combine these numbers to get 15. 10 + 13 = 23, which is close, but not quite 15. 18 + 1 = 19, which is also close, but still not quite 15. The missing number is between 10 and 18, and the operation needs to be addition or subtraction.</think>\\n<final_answer>... | ["{'generation': '<think>First, I need to think of a way to combine these numbers to get 15. 10 + 13 = 23, which is close, but not quite 15. 18 + 1 = 19, which is also close, but still not quite 15. The missing number is between 10 and 18, and the operation needs to be addition or subtraction.</think>\\n<final_answer>\... | f31d25479cb0879c1e473db5654734110af6012c3dec6787a432841c1e9f5e14 | c56e96674fbf187c3876e536b5237e294f4469f36773c316a0e604a3e5091630 | e629fa6598d732768f7c726b4b621285f9c3b85303900aa912017db7617d8bdb | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 15. 10 + 13 = 23, which is close, but not quite 15. 18 + 1 = 19, which is also close, but still not quite 15. The missing number is between 10 and 18, and the operation needs to be addition or subtraction.</think>\n<final_answer>\nStep 1: 10 + 13 ... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 15. 10 + 13 = 23, which is close, but not quite 15. 18 + 1 = 19, which is also close, but still not quite 15. The missing number is between 10 and 18, and the operation needs to be addition or subtraction.</think>\n<final... | 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 these numbers to get 19. The numbers are 10, 17, 22, and 21. The arithmetic mean might not be the best approach here, as it doesn't necessarily reflect the multiplication or addition structure of the problem. I could try a more creative combination, like... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 19. The numbers are 10, 17, 22, and 21. The arithmetic mean might not be the best approach here, as it doesn't necessarily reflect the multiplication or addition structure of the problem. I could try a more creative combination, like ... | ec4723d791e04df97fc68140b01e5c04f54ca9d2222922ec78e3489918e89a8d | 9e01c4026ea50c024f81b0b26b4133645ef725dd9cc13cf176c1e650623b1007 | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 19. The numbers are 10, 17, 22, and 21. The arithmetic mean might not be the best approach here, as it doesn't necessarily reflect the multiplication or addition structure of the problem. I could try a more creative combination, like (10 + 21) * 17 / ... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 19. The numbers are 10, 17, 22, and 21. The arithmetic mean might not be the best approach here, as it doesn't necessarily reflect the multiplication or addition structure of the problem. I could try a more creative combinati... | 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 need to think of a way to combine these numbers to get 20. The numbers are: 23, 23, 13, and 16. The product of these numbers is 23 * 23 * 13 * 16 = 20,176. This is not 20, so I need to think of a way to adjust this equation to get 20. I can do this by adding or subtracting a number f... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 20. The numbers are: 23, 23, 13, and 16. The product of these numbers is 23 * 23 * 13 * 16 = 20,176. This is not 20, so I need to think of a way to adjust this equation to get 20. I can do this by adding or subtracting a number fr... | 8e5566982343c0690d90c6bac61b52d7dfb907ee9c94df525e5757c4c97c4262 | db237d201578701780659ed1aef2b60d06c349d2cd605d35b9c43e344346a198 | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 20. The numbers are: 23, 23, 13, and 16. The product of these numbers is 23 * 23 * 13 * 16 = 20,176. This is not 20, so I need to think of a way to adjust this equation to get 20. I can do this by adding or subtracting a number from the equation. ... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 20. The numbers are: 23, 23, 13, and 16. The product of these numbers is 23 * 23 * 13 * 16 = 20,176. This is not 20, so I need to think of a way to adjust this equation to get 20. I can do this by adding or subtracting a ... | 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 start by adding 14 and 8 to get 22. But that's not allowed in the operation description. Next, I'll try subtracting numbers to see if that leads to a solution:</think>\\n<final_answer>Step 1: 22 - 8 = 14 (not allowed, so we'll try subtraction later)</final_answer>\\n<think>Next, ... | ["{'generation': \"<think>First, I can start by adding 14 and 8 to get 22. But that's not allowed in the operation description. Next, I'll try subtracting numbers to see if that leads to a solution:</think>\\n<final_answer>Step 1: 22 - 8 = 14 (not allowed, so we'll try subtraction later)</final_answer>\\n<think>Next, I... | 7aca7383c6015b2caa3691a0ea9a88ce61a224cc7fa4480f98bb178f67b3699a | abf814c17e6c9998a882dedeb9fefd5d9744207da8310ec3fe141485c9b0cece | 785f3ec7eb32f30b90cd0fcf3657d388b5ff4297f2f9716ff66e9b69c05ddd09 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by adding 14 and 8 to get 22. But that's not allowed in the operation description. Next, I'll try subtracting numbers to see if that leads to a solution:</think>\n<final_answer>Step 1: 22 - 8 = 14 (not allowed, so we'll try subtraction later)</final_answer>\n<think>Next, I'll subtract 6 from... | [{"budget_forced_chunks": ["<think>First, I can start by adding 14 and 8 to get 22. But that's not allowed in the operation description. Next, I'll try subtracting numbers to see if that leads to a solution:</think>\n<final_answer>Step 1: 22 - 8 = 14 (not allowed, so we'll try subtraction later)</final_answer>\n<think>... | 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 start by adding 15 and 22 to get a higher number, 37. Then, I can subtract 17 from 37 to get a lower number, 20. This means the number 24 is between 15*2 and 15*3, so the multiplication must be 15*2 or 15*3, and the division will be needed to reach 24. Let me check both options:<... | ["{'generation': \"<think>First, I can start by adding 15 and 22 to get a higher number, 37. Then, I can subtract 17 from 37 to get a lower number, 20. This means the number 24 is between 15*2 and 15*3, so the multiplication must be 15*2 or 15*3, and the division will be needed to reach 24. Let me check both options:</... | 47bac1a2342eda30692108659694e008e612521cbc54ffec54c8d5678789649a | 370dcedf0dfcaeedd84655684cc6bd37cdacaa0a8e5c4038cfa6e6c882e61060 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by adding 15 and 22 to get a higher number, 37. Then, I can subtract 17 from 37 to get a lower number, 20. This means the number 24 is between 15*2 and 15*3, so the multiplication must be 15*2 or 15*3, and the division will be needed to reach 24. Let me check both options:</think>\n<final_an... | [{"budget_forced_chunks": ["<think>First, I can start by adding 15 and 22 to get a higher number, 37. Then, I can subtract 17 from 37 to get a lower number, 20. This means the number 24 is between 15*2 and 15*3, so the multiplication must be 15*2 or 15*3, and the division will be needed to reach 24. Let me check both o... | 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 need to find a way to combine these numbers to get 20. I can start by multiplying 15 and 20, which gives me 300. Then, I can multiply 24 by 17, which gives me 408. Finally, I can subtract 408 from 300 to get a result of 20.</think>\\n<final_answer>\\nStep 1: 15 \u00d7 20 = 300\\nStep... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 20. I can start by multiplying 15 and 20, which gives me 300. Then, I can multiply 24 by 17, which gives me 408. Finally, I can subtract 408 from 300 to get a result of 20.</think>\\n<final_answer>\\nStep 1: 15 \u00d7 20 = 300\\nStep ... | e4cb65e43bd8799efe66b31342b571b532d5932afb20b4d16854be908cddc019 | d4c729d6184e5dc678411950de66cc83e11b46733769289afddd5ec13f2cf251 | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 20. I can start by multiplying 15 and 20, which gives me 300. Then, I can multiply 24 by 17, which gives me 408. Finally, I can subtract 408 from 300 to get a result of 20.</think>\n<final_answer>\nStep 1: 15 \u00d7 20 = 300\nStep 2: 24 \u00d7 17 = 40... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 20. I can start by multiplying 15 and 20, which gives me 300. Then, I can multiply 24 by 17, which gives me 408. Finally, I can subtract 408 from 300 to get a result of 20.</think>\n<final_answer>\nStep 1: 15 \u00d7 20 = 300\... | 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 need to find a way to combine these numbers to get close to 23. The number 18 is close to 23, so I can start with that. I'll need to subtract something from 18 to reach 23, and I also need to use the other numbers in the list. Let's create an equation:</think>\\n<final_answer>\\nStep... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get close to 23. The number 18 is close to 23, so I can start with that. I'll need to subtract something from 18 to reach 23, and I also need to use the other numbers in the list. Let's create an equation:</think>\\n<final_answer>\\nStep ... | 0dfd5c9b6911ee38ebcccfadea25fddef45481b0c639fa3795b35370f5d06ab6 | 10ed909db1dc7a655b9955cfebb2c5726d50b43576625d7b2e9e724c8580d160 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get close to 23. The number 18 is close to 23, so I can start with that. I'll need to subtract something from 18 to reach 23, and I also need to use the other numbers in the list. Let's create an equation:</think>\n<final_answer>\nStep 1: real number: 18 ... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get close to 23. The number 18 is close to 23, so I can start with that. I'll need to subtract something from 18 to reach 23, and I also need to use the other numbers in the list. Let's create an equation:</think>\n<final_answer>... | 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 need to think of a way to combine these numbers to get 25. The numbers are: 17, 16, 21, and 8. None of them are easy to work with directly to get 25, so I'll start with the multiplication and division operations.</think>\\n<final_answer>\\nStep 1: real number operations - (17 * 16) =... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 25. The numbers are: 17, 16, 21, and 8. None of them are easy to work with directly to get 25, so I'll start with the multiplication and division operations.</think>\\n<final_answer>\\nStep 1: real number operations - (17 * 16) = ... | a0bbf926e8f85501032b4b6c203376301dda401daa39981885d3c09c4387a5cd | 1f6cc0a799203fca5c7ad993c753db7ebcc9bed4af86c541129c9788b48602c0 | b7a56873cd771f2c446d369b649430b65a756ba278ff97ec81bb6f55b2e73569 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 25. The numbers are: 17, 16, 21, and 8. None of them are easy to work with directly to get 25, so I'll start with the multiplication and division operations.</think>\n<final_answer>\nStep 1: real number operations - (17 * 16) = 272 (not helpful)\n... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 25. The numbers are: 17, 16, 21, and 8. None of them are easy to work with directly to get 25, so I'll start with the multiplication and division operations.</think>\n<final_answer>\nStep 1: real number operations - (17 *... | 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 need to think of a way to combine the numbers 8, 13, and 23 using basic arithmetic operations to get a result of 18. One possible way is by using addition and subtraction.</think>\\n<final_answer>\\nStep 1: Use addition to combine 8 and 13 to get 21.\\nStep 2: Use subtraction to comb... | ["{'generation': \"<think>First, I need to think of a way to combine the numbers 8, 13, and 23 using basic arithmetic operations to get a result of 18. One possible way is by using addition and subtraction.</think>\\n<final_answer>\\nStep 1: Use addition to combine 8 and 13 to get 21.\\nStep 2: Use subtraction to combi... | c5077f8f4a57d4767d513fa0140bb28369b0d97abe9081405ec1ce4977de6977 | e089014c0c72e03c6f566a420ec27695fdf2cf37476b848f24bcd9cd7b103b2c | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine the numbers 8, 13, and 23 using basic arithmetic operations to get a result of 18. One possible way is by using addition and subtraction.</think>\n<final_answer>\nStep 1: Use addition to combine 8 and 13 to get 21.\nStep 2: Use subtraction to combine 21 and 23 to get ... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine the numbers 8, 13, and 23 using basic arithmetic operations to get a result of 18. One possible way is by using addition and subtraction.</think>\n<final_answer>\nStep 1: Use addition to combine 8 and 13 to get 21.\nStep 2: Use subtraction to... | 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 need to think of a way to combine these numbers to get 14. 3 + 14 doesn't work, as does 3 - 14. 14 + 14 is 28, which is too big. 14 - 14 is 0, which isn't helpful. For multiplication, 3 x 14 is 42, which is too big. 14 x 14 is 196, which is too big, and 11 x 14 is 154, which is close... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 14. 3 + 14 doesn't work, as does 3 - 14. 14 + 14 is 28, which is too big. 14 - 14 is 0, which isn't helpful. For multiplication, 3 x 14 is 42, which is too big. 14 x 14 is 196, which is too big, and 11 x 14 is 154, which is close,... | d52f1030f65184c430fb7423fea9454bcefcbc2dd8a80a98709d4fd82e33ff99 | 1ef05c7aaa7694efc259416e25c7e5610f7a9467e8c47827e59eb90e80c7ced2 | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 14. 3 + 14 doesn't work, as does 3 - 14. 14 + 14 is 28, which is too big. 14 - 14 is 0, which isn't helpful. For multiplication, 3 x 14 is 42, which is too big. 14 x 14 is 196, which is too big, and 11 x 14 is 154, which is close, but not exact ye... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 14. 3 + 14 doesn't work, as does 3 - 14. 14 + 14 is 28, which is too big. 14 - 14 is 0, which isn't helpful. For multiplication, 3 x 14 is 42, which is too big. 14 x 14 is 196, which is too big, and 11 x 14 is 154, which ... | 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, but then I need to subtract 23. Finally, I divide by 1 to make it a single number.</think>\\n<final_answer>\\n24\\n</final_answer>\\n<answer>(19 + 5) / 23 * 1</answer>\\n\\nBut I need to verify this. Let's break it down:\\n\\n1. Start with 19 and 23. Addin... | ["{'generation': \"<think>First, I can add 19 and 5 to get 24, but then I need to subtract 23. Finally, I divide by 1 to make it a single number.</think>\\n<final_answer>\\n24\\n</final_answer>\\n<answer>(19 + 5) / 23 * 1</answer>\\n\\nBut I need to verify this. Let's break it down:\\n\\n1. Start with 19 and 23. Adding... | 4adbd29da982f2d2d00599ad14573dc4c8eb945e3de91b443e8b27003bd52042 | 9eed663edc29ed6d7f3f24e24519ddadb989ae3ec75476c63f62b5bf8f4a57e5 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can add 19 and 5 to get 24, but then I need to subtract 23. Finally, I divide by 1 to make it a single number.</think>\n<final_answer>\n24\n</final_answer>\n<answer>(19 + 5) / 23 * 1</answer>\n\nBut I need to verify this. Let's break it down:\n\n1. Start with 19 and 23. Adding them gives 42.\n2. Subtr... | [{"budget_forced_chunks": ["<think>First, I can add 19 and 5 to get 24, but then I need to subtract 23. Finally, I divide by 1 to make it a single number.</think>\n<final_answer>\n24\n</final_answer>\n<answer>(19 + 5) / 23 * 1</answer>\n\nBut I need to verify this. Let's break it down:\n\n1. Start with 19 and 23. Addin... | 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 need to find a way to combine these numbers to get 22. I can start by multiplying 16 and 8, which equals 128. However, that is too large, so I'll adjust my approach.</think>\\n<think>Next, I should consider multiplying two of the numbers and then subtracting the product of the other ... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 22. I can start by multiplying 16 and 8, which equals 128. However, that is too large, so I'll adjust my approach.</think>\\n<think>Next, I should consider multiplying two of the numbers and then subtracting the product of the other t... | ebbe613099da63d1b55291f4b798ae73a232d8c4af2d918301eff2a8d08b9f58 | 76eaccefd1c4e5886e4057d7b18e969a4a9600226f4b26e60d6ef61df962b611 | 785f3ec7eb32f30b90cd0fcf3657d388b5ff4297f2f9716ff66e9b69c05ddd09 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 22. I can start by multiplying 16 and 8, which equals 128. However, that is too large, so I'll adjust my approach.</think>\n<think>Next, I should consider multiplying two of the numbers and then subtracting the product of the other two from it. Let's ... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 22. I can start by multiplying 16 and 8, which equals 128. However, that is too large, so I'll adjust my approach.</think>\n<think>Next, I should consider multiplying two of the numbers and then subtracting the product of the... | 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 need to find a way to combine these numbers to get 18. The numbers given are 13, 24, 6, and 15. Let's start by setting up the equation.</think>\\n<final_answer>\\nTo solve this, we can use the numbers 13, 24, 6, and 15 in an equation where we combine them using basic arithmetic opera... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 18. The numbers given are 13, 24, 6, and 15. Let's start by setting up the equation.</think>\\n<final_answer>\\nTo solve this, we can use the numbers 13, 24, 6, and 15 in an equation where we combine them using basic arithmetic operat... | 4b8548a181e3a8daf0e5e5ef30f90b7996f6638d2697da69aefcccd58369ccc7 | 0f18306e93c6b30451422876db152449239137bebb974cc06ae779d1c0cc45a4 | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 18. The numbers given are 13, 24, 6, and 15. Let's start by setting up the equation.</think>\n<final_answer>\nTo solve this, we can use the numbers 13, 24, 6, and 15 in an equation where we combine them using basic arithmetic operations. Here's one wa... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 18. The numbers given are 13, 24, 6, and 15. Let's start by setting up the equation.</think>\n<final_answer>\nTo solve this, we can use the numbers 13, 24, 6, and 15 in an equation where we combine them using basic arithmetic... | 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 these numbers to get 14. The numbers are 18, 1, 13, and 19. The sum of 18 and 1 is 19, which is close to 14. However, I can't use 19 because it's not one of the numbers in the question. The product of 18 and 1 is 18, which is too close to 14. The product... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 14. The numbers are 18, 1, 13, and 19. The sum of 18 and 1 is 19, which is close to 14. However, I can't use 19 because it's not one of the numbers in the question. The product of 18 and 1 is 18, which is too close to 14. The product ... | 82ea3a7e9d54b8c6427e04636e9e192f8eb8392c2bc9348c8bd169df6d6bab64 | d614d87b12fd03757ecddaaea21bceeba9aa9f77bb48c213e2338a8722b4f0fb | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 14. The numbers are 18, 1, 13, and 19. The sum of 18 and 1 is 19, which is close to 14. However, I can't use 19 because it's not one of the numbers in the question. The product of 18 and 1 is 18, which is too close to 14. The product of 13 and 1 is 13... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 14. The numbers are 18, 1, 13, and 19. The sum of 18 and 1 is 19, which is close to 14. However, I can't use 19 because it's not one of the numbers in the question. The product of 18 and 1 is 18, which is too close to 14. The... | 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 find a way to combine these numbers to get 10. The most straightforward way is to use basic arithmetic operations. I can start by adding the first two numbers: 6 + 2 = 8. Now I need to find a way to reach 10 using the remaining numbers 9, 1, and 3.</think>\\n<final_answer>\\nS... | ["{'generation': '<think>First, I need to find a way to combine these numbers to get 10. The most straightforward way is to use basic arithmetic operations. I can start by adding the first two numbers: 6 + 2 = 8. Now I need to find a way to reach 10 using the remaining numbers 9, 1, and 3.</think>\\n<final_answer>\\nSt... | 04ec0523052570eab42f5d4df2df12752b6040a530a17ab530c1a34b68932cc3 | a07b20493b2474140724f67ad0df567fa239ed4d890a1d12451e43c0282a8060 | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 10. The most straightforward way is to use basic arithmetic operations. I can start by adding the first two numbers: 6 + 2 = 8. Now I need to find a way to reach 10 using the remaining numbers 9, 1, and 3.</think>\n<final_answer>\nStep 1: 6 + 2 = 8\nS... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 10. The most straightforward way is to use basic arithmetic operations. I can start by adding the first two numbers: 6 + 2 = 8. Now I need to find a way to reach 10 using the remaining numbers 9, 1, and 3.</think>\n<final_ans... | 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 need to think of a way to combine the numbers 14, 9, and 3 using basic arithmetic operations to get a result of 20.</think>\\n<final_answer>\\nStep 1: real number line ordering and identifying important values to determine the position of the decimal point.\\nStep 2: Understand the re... | ["{'generation': '<think>First, I need to think of a way to combine the numbers 14, 9, and 3 using basic arithmetic operations to get a result of 20.</think>\\n<final_answer>\\nStep 1: real number line ordering and identifying important values to determine the position of the decimal point.\\nStep 2: Understand the rel... | 886ed5f2b6b1ec35a422c1358478609a118536357450e8ce400e8f59fb3d572e | b2487dd970bb8721f302d46b97240e180f65fa3b6e19ad7c2ebf5771d607f653 | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine the numbers 14, 9, and 3 using basic arithmetic operations to get a result of 20.</think>\n<final_answer>\nStep 1: real number line ordering and identifying important values to determine the position of the decimal point.\nStep 2: Understand the relationship between t... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine the numbers 14, 9, and 3 using basic arithmetic operations to get a result of 20.</think>\n<final_answer>\nStep 1: real number line ordering and identifying important values to determine the position of the decimal point.\nStep 2: Understand ... | 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 start by using the last number given, 21, and see if I can form it using the other numbers and operations.</think>\\n<final_answer>\\nStep 1: Use 21 as the target number.\\nStep 2: Combine 12 and 8 to get 12 + 8 = 20. We're close!\\nStep 3: Add 1 to 20 to reach 21. We're almost t... | ["{'generation': \"<think>First, I can start by using the last number given, 21, and see if I can form it using the other numbers and operations.</think>\\n<final_answer>\\nStep 1: Use 21 as the target number.\\nStep 2: Combine 12 and 8 to get 12 + 8 = 20. We're close!\\nStep 3: Add 1 to 20 to reach 21. We're almost th... | 14bf1806f088e8b1c20121adc93dbe473a7bbc73cf92a5fec9a74e104fa45d4b | 99a22a74fff81f8c48fa2dafb4921d6437452b79c4215850b3b783316fe6ca3c | b7a56873cd771f2c446d369b649430b65a756ba278ff97ec81bb6f55b2e73569 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the last number given, 21, and see if I can form it using the other numbers and operations.</think>\n<final_answer>\nStep 1: Use 21 as the target number.\nStep 2: Combine 12 and 8 to get 12 + 8 = 20. We're close!\nStep 3: Add 1 to 20 to reach 21. We're almost there.\nStep 4: Final s... | [{"budget_forced_chunks": ["<think>First, I can start by using the last number given, 21, and see if I can form it using the other numbers and operations.</think>\n<final_answer>\nStep 1: Use 21 as the target number.\nStep 2: Combine 12 and 8 to get 12 + 8 = 20. We're close!\nStep 3: Add 1 to 20 to reach 21. We're almo... | 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 need to find a way to combine the numbers 8, 7, 1, and 20 using basic arithmetic operations to get the result of 11. One possible way is by using addition and multiplication.</think>\\n<final_answer>\\nStep 1: Use multiplication to combine 8 and 7 to get 56.\\nStep 2: Use addition to... | ["{'generation': \"<think>First, I need to find a way to combine the numbers 8, 7, 1, and 20 using basic arithmetic operations to get the result of 11. One possible way is by using addition and multiplication.</think>\\n<final_answer>\\nStep 1: Use multiplication to combine 8 and 7 to get 56.\\nStep 2: Use addition to ... | 05f8a72d36e87d7a5c71b839f12b84d258f67ed7ae386e28611b3519219b525e | c674bf199104dc45f397037060b82bed9ca09d088e60a8318b2aa7f82f573d61 | 4fc82b26aecb47d2868c4efbe3581732a3e7cbcc6c2efb32062c08170a05eeb8 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the numbers 8, 7, 1, and 20 using basic arithmetic operations to get the result of 11. One possible way is by using addition and multiplication.</think>\n<final_answer>\nStep 1: Use multiplication to combine 8 and 7 to get 56.\nStep 2: Use addition to combine the result w... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the numbers 8, 7, 1, and 20 using basic arithmetic operations to get the result of 11. One possible way is by using addition and multiplication.</think>\n<final_answer>\nStep 1: Use multiplication to combine 8 and 7 to get 56.\nStep 2: Use additi... | 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 need to find a way to combine these numbers to get 14. The numbers are 6, 10, 4, and 19, and I can use basic arithmetic operations (+, -, *, /) to manipulate them. I can start by adding 6 and 19, which equals 25. Now I need to find a way to get 14 from the other two numbers, 10 and 4... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 14. The numbers are 6, 10, 4, and 19, and I can use basic arithmetic operations (+, -, *, /) to manipulate them. I can start by adding 6 and 19, which equals 25. Now I need to find a way to get 14 from the other two numbers, 10 and 4.... | 32c7d6edf9a791a9576fef36ee42924d15008a1a3cbcc17f728f099b122d86af | 20e1f5327c8fb5ca8e924289cde96faf6c2e60df0573b7c58720d6df34666d96 | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 14. The numbers are 6, 10, 4, and 19, and I can use basic arithmetic operations (+, -, *, /) to manipulate them. I can start by adding 6 and 19, which equals 25. Now I need to find a way to get 14 from the other two numbers, 10 and 4. I can do this by... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 14. The numbers are 6, 10, 4, and 19, and I can use basic arithmetic operations (+, -, *, /) to manipulate them. I can start by adding 6 and 19, which equals 25. Now I need to find a way to get 14 from the other two numbers, ... | 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 need to think of a way to use the numbers 8, 4, 23, and 10 to get a sum of 10. One way to do this is by using subtraction: 23 - 13 = 10. So my equation will involve subtracting 13 from 23.</think>\\n<final_answer>\\nStep 1: 23 - 13 = 10</final_answer>\\n<tag>answer</tag><answer>(23 -... | ["{'generation': \"<think>First, I need to think of a way to use the numbers 8, 4, 23, and 10 to get a sum of 10. One way to do this is by using subtraction: 23 - 13 = 10. So my equation will involve subtracting 13 from 23.</think>\\n<final_answer>\\nStep 1: 23 - 13 = 10</final_answer>\\n<tag>answer</tag><answer>(23 - ... | 37b100781adc7aea5bd0958ae572fe10470b8db410fd9723eb5360d5452d767d | 27abc602b799c6c8ed4fa7f36db773c12da966e4d4118b130a622520943a48d5 | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to use the numbers 8, 4, 23, and 10 to get a sum of 10. One way to do this is by using subtraction: 23 - 13 = 10. So my equation will involve subtracting 13 from 23.</think>\n<final_answer>\nStep 1: 23 - 13 = 10</final_answer>\n<tag>answer</tag><answer>(23 - 13) = 10</answer>\n\... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to use the numbers 8, 4, 23, and 10 to get a sum of 10. One way to do this is by using subtraction: 23 - 13 = 10. So my equation will involve subtracting 13 from 23.</think>\n<final_answer>\nStep 1: 23 - 13 = 10</final_answer>\n<tag>answer</tag><answer>... | 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 find a way to combine these numbers to get 13. The numbers are 19, 2, 12, and 18. The closest I can get without using any of these numbers is by adding 11 and 2, which equals 13 (19 - 8 = 11, 11 + 2 = 13). However, I cannot use 19 directly because it's too large, and I need t... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 13. The numbers are 19, 2, 12, and 18. The closest I can get without using any of these numbers is by adding 11 and 2, which equals 13 (19 - 8 = 11, 11 + 2 = 13). However, I cannot use 19 directly because it's too large, and I need to... | c98d820c226336c2035fa0efaa4d9aa2becdcb27feac1bbf9082d6efe4f5069f | 1436914e7b70497d0e69375d7b70fd47527ca9e2cae49b0daf6cca5dd20d25a7 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 13. The numbers are 19, 2, 12, and 18. The closest I can get without using any of these numbers is by adding 11 and 2, which equals 13 (19 - 8 = 11, 11 + 2 = 13). However, I cannot use 19 directly because it's too large, and I need to use each number ... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 13. The numbers are 19, 2, 12, and 18. The closest I can get without using any of these numbers is by adding 11 and 2, which equals 13 (19 - 8 = 11, 11 + 2 = 13). However, I cannot use 19 directly because it's too large, and ... | 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 need to find a way to combine these numbers to get close to 23. I can start by adding 3 and then adjusting from there.</think>\\n<final_answer>\\nStep 1: Use 3 as the first number because it's a simple starting point.\\nStep 2: To reach 23, I need to add 20 more (23 - 3 = 20).\\nStep... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get close to 23. I can start by adding 3 and then adjusting from there.</think>\\n<final_answer>\\nStep 1: Use 3 as the first number because it's a simple starting point.\\nStep 2: To reach 23, I need to add 20 more (23 - 3 = 20).\\nStep ... | 3dee87e91e430e7f86936ddeb295f7a9006fcdac4e05ff39b8eb95e05789cda6 | ff841f243937fbac16fcd7bbd6cf6794fc7f246070b234a925b75877ce633207 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get close to 23. I can start by adding 3 and then adjusting from there.</think>\n<final_answer>\nStep 1: Use 3 as the first number because it's a simple starting point.\nStep 2: To reach 23, I need to add 20 more (23 - 3 = 20).\nStep 3: The difference bet... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get close to 23. I can start by adding 3 and then adjusting from there.</think>\n<final_answer>\nStep 1: Use 3 as the first number because it's a simple starting point.\nStep 2: To reach 23, I need to add 20 more (23 - 3 = 20).\n... | 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 find a way to combine these numbers to get 10. The most straightforward way is to use basic arithmetic operations. I can start by adding the first two numbers: 16 + 4 = 20. Now I need to subtract this from 10: 10 - 20 = -10. To get this result, I can add 14 and subtract 2 from... | ["{'generation': '<think>First, I need to find a way to combine these numbers to get 10. The most straightforward way is to use basic arithmetic operations. I can start by adding the first two numbers: 16 + 4 = 20. Now I need to subtract this from 10: 10 - 20 = -10. To get this result, I can add 14 and subtract 2 from ... | 98ab1b38356ecf7abfc8d59f6051f122d58b27c2757f86694bf71568c3f579e6 | cbe34bb42aa6666852658fa52a4884248cbbf63194ac9b9bcc86b2c69c103c04 | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 10. The most straightforward way is to use basic arithmetic operations. I can start by adding the first two numbers: 16 + 4 = 20. Now I need to subtract this from 10: 10 - 20 = -10. To get this result, I can add 14 and subtract 2 from the number 10: 1... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 10. The most straightforward way is to use basic arithmetic operations. I can start by adding the first two numbers: 16 + 4 = 20. Now I need to subtract this from 10: 10 - 20 = -10. To get this result, I can add 14 and subtra... | 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 start by using the last number, 16, as it is the largest and best suited for the multiplication operation. I will multiply 16 by the next best number, 20, as it is easily obtained from 16. So, 16 * 20 = 320. Now, I have 320, which is a good starting point, but I need to reach 24. ... | ["{'generation': '<think>First, I can start by using the last number, 16, as it is the largest and best suited for the multiplication operation. I will multiply 16 by the next best number, 20, as it is easily obtained from 16. So, 16 * 20 = 320. Now, I have 320, which is a good starting point, but I need to reach 24. T... | 3ebb28261cbe5e14b7315a28166cc1db81b47ba4e9d15a19a7de1ca91ac3fc11 | 2636ec08d0fb37b2cf450273bfe2824cdd0f5cb1b0331db5775239f4dba1e73f | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the last number, 16, as it is the largest and best suited for the multiplication operation. I will multiply 16 by the next best number, 20, as it is easily obtained from 16. So, 16 * 20 = 320. Now, I have 320, which is a good starting point, but I need to reach 24. The only way to d... | [{"budget_forced_chunks": ["<think>First, I can start by using the last number, 16, as it is the largest and best suited for the multiplication operation. I will multiply 16 by the next best number, 20, as it is easily obtained from 16. So, 16 * 20 = 320. Now, I have 320, which is a good starting point, but I need to r... | 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 start by using the numbers to try and create a simple multiplication or division that would result in 24.</think>\\n<final_answer>\\nStep 1: (8 * 3) + 9 = 34\\nStep 2: 34 - 8 = 26\\n</final_answer>\\nThe answer is <answer>(8 * 3) + 9 = 26</answer>.\\n\\nHowever, the user requeste... | ["{'generation': \"<think>First, I can start by using the numbers to try and create a simple multiplication or division that would result in 24.</think>\\n<final_answer>\\nStep 1: (8 * 3) + 9 = 34\\nStep 2: 34 - 8 = 26\\n</final_answer>\\nThe answer is <answer>(8 * 3) + 9 = 26</answer>.\\n\\nHowever, the user requested... | 7a7930e021ceeb46d974fa00bbee28c1f4e7422d48a9c96427a545e4eed0fbdf | fd72a63df0361a86a94acd60ae8292cd8ac4221f55ee795b17a95ad2540b0988 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the numbers to try and create a simple multiplication or division that would result in 24.</think>\n<final_answer>\nStep 1: (8 * 3) + 9 = 34\nStep 2: 34 - 8 = 26\n</final_answer>\nThe answer is <answer>(8 * 3) + 9 = 26</answer>.\n\nHowever, the user requested an equation using only ... | [{"budget_forced_chunks": ["<think>First, I can start by using the numbers to try and create a simple multiplication or division that would result in 24.</think>\n<final_answer>\nStep 1: (8 * 3) + 9 = 34\nStep 2: 34 - 8 = 26\n</final_answer>\nThe answer is <answer>(8 * 3) + 9 = 26</answer>.\n\nHowever, the user request... | 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 start by using the numbers to create a simple addition or subtraction equation. However, since the target number is 24, which is a product of numbers, I will opt to use multiplication and division.</think>\\n<final_answer>\\nStep 1: real number operations - need to find two numbe... | ["{'generation': \"<think>First, I can start by using the numbers to create a simple addition or subtraction equation. However, since the target number is 24, which is a product of numbers, I will opt to use multiplication and division.</think>\\n<final_answer>\\nStep 1: real number operations - need to find two number... | 6233391fa323f1ae8f0498bde4e183b36b9bab90b39c8d544a67220125b83287 | 08ad970139b0652c99d841197987b916b8a1ef91494da8c899ab506134af2eb8 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the numbers to create a simple addition or subtraction equation. However, since the target number is 24, which is a product of numbers, I will opt to use multiplication and division.</think>\n<final_answer>\nStep 1: real number operations - need to find two numbers that multiply to ... | [{"budget_forced_chunks": ["<think>First, I can start by using the numbers to create a simple addition or subtraction equation. However, since the target number is 24, which is a product of numbers, I will opt to use multiplication and division.</think>\n<final_answer>\nStep 1: real number operations - need to find two... | 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 need to think of a way to combine these numbers to get 22. One way could be to multiply the first two numbers and then add the third number, like 17 * 3 = 51, then 51 + 7 = 58, but that isn't 22. Next, I'll try different combinations with the numbers given.</think>\\n<final_answer>\\... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 22. One way could be to multiply the first two numbers and then add the third number, like 17 * 3 = 51, then 51 + 7 = 58, but that isn't 22. Next, I'll try different combinations with the numbers given.</think>\\n<final_answer>\\n... | d451de9faeade7c0b043fd49fe6172d6084cd97ff6acbb5e55fd09b604e52764 | 2020d77f8edf80ce2b99f12ded817ddb52c377b349252b70b0b2618f0961c036 | 785f3ec7eb32f30b90cd0fcf3657d388b5ff4297f2f9716ff66e9b69c05ddd09 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 22. One way could be to multiply the first two numbers and then add the third number, like 17 * 3 = 51, then 51 + 7 = 58, but that isn't 22. Next, I'll try different combinations with the numbers given.</think>\n<final_answer>\nThe equation that e... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 22. One way could be to multiply the first two numbers and then add the third number, like 17 * 3 = 51, then 51 + 7 = 58, but that isn't 22. Next, I'll try different combinations with the numbers given.</think>\n<final_an... | 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 need to think of a way to combine these numbers to get close to 23. 16 + 15 is 31, which is close, but 16 + 15 + 1 = 22, which is 1 short. 16 + 15 + 1 + 3 = 23! Now I will use 1 as the remainder and see if I can get 1*3=3. The equation is: Step 1: 16 + 15 = 31 (mod 23) Step 2: 31 + 1... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get close to 23. 16 + 15 is 31, which is close, but 16 + 15 + 1 = 22, which is 1 short. 16 + 15 + 1 + 3 = 23! Now I will use 1 as the remainder and see if I can get 1*3=3. The equation is: Step 1: 16 + 15 = 31 (mod 23) Step 2: 31 + 1 ... | d1910265333c2aec98a24231bd582fc8e6d688f4c3a08e889f54e26f260f6ff6 | debf4e355f7604ffeeb5f3404d87d62b825d6527dc43fb065206a123921ce584 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get close to 23. 16 + 15 is 31, which is close, but 16 + 15 + 1 = 22, which is 1 short. 16 + 15 + 1 + 3 = 23! Now I will use 1 as the remainder and see if I can get 1*3=3. The equation is: Step 1: 16 + 15 = 31 (mod 23) Step 2: 31 + 1 = 32 - 23 = 9 (mo... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get close to 23. 16 + 15 is 31, which is close, but 16 + 15 + 1 = 22, which is 1 short. 16 + 15 + 1 + 3 = 23! Now I will use 1 as the remainder and see if I can get 1*3=3. The equation is: Step 1: 16 + 15 = 31 (mod 23) Step 2... | 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 find a way to combine the given numbers [24, 18, 23] using basic arithmetic operations (+, -, *, /) so that the result equals 19. Each number can only be used once.</think>\\n<final_answer>\\nTo solve this, we can start by adding the two smaller numbers, 18 and 23, to get 41.... | ["{'generation': \"<think>First, I need to find a way to combine the given numbers [24, 18, 23] using basic arithmetic operations (+, -, *, /) so that the result equals 19. Each number can only be used once.</think>\\n<final_answer>\\nTo solve this, we can start by adding the two smaller numbers, 18 and 23, to get 41. ... | ef1eb782cf001ce26a20ed44e1b588a2148b04dffc4bdeb09208c9415768088f | 802a5426bbc14fc70091630daf5ba791cfd4353339d08eb4744e729541630a94 | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the given numbers [24, 18, 23] using basic arithmetic operations (+, -, *, /) so that the result equals 19. Each number can only be used once.</think>\n<final_answer>\nTo solve this, we can start by adding the two smaller numbers, 18 and 23, to get 41. Then, we can use 24... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers [24, 18, 23] using basic arithmetic operations (+, -, *, /) so that the result equals 19. Each number can only be used once.</think>\n<final_answer>\nTo solve this, we can start by adding the two smaller numbers, 18 and 23, to g... | 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 need to think of a way to combine these numbers to get 15. The numbers are: 17, 20, 10, and 4. The arithmetic operations I know are +, -, *, and /. Let's start by using the largest number, 20. I can subtract 10 from 20 to get 10, so one possible equation is: (17 + 20 - 10) * 4 = 15. ... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 15. The numbers are: 17, 20, 10, and 4. The arithmetic operations I know are +, -, *, and /. Let's start by using the largest number, 20. I can subtract 10 from 20 to get 10, so one possible equation is: (17 + 20 - 10) * 4 = 15. L... | 6db3fbd49b81d0debd08a217bb92f3efa1f6831c4999048dd50260c4a2a8e8c0 | 3bc056dfd0233c3b03fb4c3539e85fcd8989a7fad15a268f596aa2dfc3a7bce3 | e629fa6598d732768f7c726b4b621285f9c3b85303900aa912017db7617d8bdb | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 15. The numbers are: 17, 20, 10, and 4. The arithmetic operations I know are +, -, *, and /. Let's start by using the largest number, 20. I can subtract 10 from 20 to get 10, so one possible equation is: (17 + 20 - 10) * 4 = 15. Let's check: (17 +... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 15. The numbers are: 17, 20, 10, and 4. The arithmetic operations I know are +, -, *, and /. Let's start by using the largest number, 20. I can subtract 10 from 20 to get 10, so one possible equation is: (17 + 20 - 10) * ... | 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 need to perform the multiplication operation to combine the numbers 12 and 6, which gives me 72. Next, I need to add 10 to 72, which results in 82. Finally, I need to add 1 to 82, which results in the final answer of 83. So the equation is: 12 * 6 + 10 + 1 = 83.</think>\\n<answer>(12 ... | ["{'generation': '<think>First, I need to perform the multiplication operation to combine the numbers 12 and 6, which gives me 72. Next, I need to add 10 to 72, which results in 82. Finally, I need to add 1 to 82, which results in the final answer of 83. So the equation is: 12 * 6 + 10 + 1 = 83.</think>\\n<answer>(12 *... | 35b1c2b18fee46db7d7d486eb513d6e14310ea4dce3e14fc7920f45913c73d48 | 82a5b9ead972f062769857dd7132e626f4b355aaba3fb500fe19fd767cae5fe9 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to perform the multiplication operation to combine the numbers 12 and 6, which gives me 72. Next, I need to add 10 to 72, which results in 82. Finally, I need to add 1 to 82, which results in the final answer of 83. So the equation is: 12 * 6 + 10 + 1 = 83.</think>\n<answer>(12 * 6) + 10 + 1 = 83... | [{"budget_forced_chunks": ["<think>First, I need to perform the multiplication operation to combine the numbers 12 and 6, which gives me 72. Next, I need to add 10 to 72, which results in 82. Finally, I need to add 1 to 82, which results in the final answer of 83. So the equation is: 12 * 6 + 10 + 1 = 83.</think>\n<ans... | 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 need to think of a way to combine these numbers to get 10. Addition and subtraction are easy, but division and multiplication with the given operations seem impossible. However, if we consider a more advanced arithmetic, such as surreal numbers or super real numbers, they can represe... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 10. Addition and subtraction are easy, but division and multiplication with the given operations seem impossible. However, if we consider a more advanced arithmetic, such as surreal numbers or super real numbers, they can represen... | b793b535bd0b3280ad4a8bc7d71b5cf4f234571620473d65acae50acc825ec57 | e8cbd5ee01dec1857224acb722f9c821b946597da44f1d2b0e054dcb5fbfde53 | 4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 10. Addition and subtraction are easy, but division and multiplication with the given operations seem impossible. However, if we consider a more advanced arithmetic, such as surreal numbers or super real numbers, they can represent numbers beyond ... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 10. Addition and subtraction are easy, but division and multiplication with the given operations seem impossible. However, if we consider a more advanced arithmetic, such as surreal numbers or super real numbers, they can... | 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 need to find a way to combine these numbers to get 19. I can start by multiplying the largest number, 16, by a number close to 1, such as 2:</think>\\n<final_answer>\\nStep 1: 16 * 2 = 32 (but 32 is too large, so we'll adjust later)</think>\\n<think>Next, I should add 19 and 10 to th... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 19. I can start by multiplying the largest number, 16, by a number close to 1, such as 2:</think>\\n<final_answer>\\nStep 1: 16 * 2 = 32 (but 32 is too large, so we'll adjust later)</think>\\n<think>Next, I should add 19 and 10 to the... | 9d80570a7343e6d2d68246a0e09ce47e1a6a96dc24feecbb35ad65e514cb2939 | 78b473de32b43d7c002173d5378657ba52a42625ce5708900ecdbf5b9789453f | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 19. I can start by multiplying the largest number, 16, by a number close to 1, such as 2:</think>\n<final_answer>\nStep 1: 16 * 2 = 32 (but 32 is too large, so we'll adjust later)</think>\n<think>Next, I should add 19 and 10 to the product of 16 and 2... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 19. I can start by multiplying the largest number, 16, by a number close to 1, such as 2:</think>\n<final_answer>\nStep 1: 16 * 2 = 32 (but 32 is too large, so we'll adjust later)</think>\n<think>Next, I should add 19 and 10 ... | 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 need to find a way to combine the numbers 5 and 19 to get a product of 24. I can start by adding 5 and 19 to see if it gives me a number close to 24.</think>\\n<final_answer>\\nStep 1: 5 + 19 = 24\\n</final_answer>\\n\\nHowever, the user asked us to create an equation using the numbe... | ["{'generation': \"<think>First, I need to find a way to combine the numbers 5 and 19 to get a product of 24. I can start by adding 5 and 19 to see if it gives me a number close to 24.</think>\\n<final_answer>\\nStep 1: 5 + 19 = 24\\n</final_answer>\\n\\nHowever, the user asked us to create an equation using the number... | 99d6fbffa160a424f45d4b78de11360cd4b97354c1dce2e3ae62d5f2f03d5b38 | 8f74b7e3c369679f1e12c6c9ec9b3b85d51f5d6e89c2181cc67e3ed90f706203 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the numbers 5 and 19 to get a product of 24. I can start by adding 5 and 19 to see if it gives me a number close to 24.</think>\n<final_answer>\nStep 1: 5 + 19 = 24\n</final_answer>\n\nHowever, the user asked us to create an equation using the numbers [5, 19] that equals ... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the numbers 5 and 19 to get a product of 24. I can start by adding 5 and 19 to see if it gives me a number close to 24.</think>\n<final_answer>\nStep 1: 5 + 19 = 24\n</final_answer>\n\nHowever, the user asked us to create an equation using the nu... | 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 need to find a way to combine the given numbers [17, 13, 15] using basic arithmetic operations (+, -, *, /) to reach the target number 19. Each number should be used exactly once. Let's think through this step by step:</think>\\n\\n<final_answer>\\nStep 1: We can start by adding 17 a... | ["{'generation': \"<think>First, I need to find a way to combine the given numbers [17, 13, 15] using basic arithmetic operations (+, -, *, /) to reach the target number 19. Each number should be used exactly once. Let's think through this step by step:</think>\\n\\n<final_answer>\\nStep 1: We can start by adding 17 an... | 1fd81e2df0bd7f0dd3fc40b5f6617fc216f2550b4fbc63bb64c3d55a28fe4268 | 0b4c367a3bb495638c386032c2d90db43eae78f510b2126270bb3052fff05c8a | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the given numbers [17, 13, 15] using basic arithmetic operations (+, -, *, /) to reach the target number 19. Each number should be used exactly once. Let's think through this step by step:</think>\n\n<final_answer>\nStep 1: We can start by adding 17 and 13 to see if we ca... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers [17, 13, 15] using basic arithmetic operations (+, -, *, /) to reach the target number 19. Each number should be used exactly once. Let's think through this step by step:</think>\n\n<final_answer>\nStep 1: We can start by adding... | 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 start by dividing 20 by 2, which gives me 10.</think>\\n<think>Next, I can add 24 to 10, which gives me 34. But I need to use each number only once, and I already used 20 and 2.</think>\\n<think>That's where the 4 comes in. I can add 4 to 10 to get 14, and then add 20 to 10 to ge... | ["{'generation': \"<think>First, I can start by dividing 20 by 2, which gives me 10.</think>\\n<think>Next, I can add 24 to 10, which gives me 34. But I need to use each number only once, and I already used 20 and 2.</think>\\n<think>That's where the 4 comes in. I can add 4 to 10 to get 14, and then add 20 to 10 to get... | 997f99b3e946a10a23c993819c4b0e619ddc9a6fa3027b29726c423e97f82ed3 | 234784e30f512a638cd6dec8311f44a87e65a74d04d0e2478165e83a9d0ecb75 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by dividing 20 by 2, which gives me 10.</think>\n<think>Next, I can add 24 to 10, which gives me 34. But I need to use each number only once, and I already used 20 and 2.</think>\n<think>That's where the 4 comes in. I can add 4 to 10 to get 14, and then add 20 to 10 to get 30. Now I have 30 ... | [{"budget_forced_chunks": ["<think>First, I can start by dividing 20 by 2, which gives me 10.</think>\n<think>Next, I can add 24 to 10, which gives me 34. But I need to use each number only once, and I already used 20 and 2.</think>\n<think>That's where the 4 comes in. I can add 4 to 10 to get 14, and then add 20 to 10... | 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 these numbers to get 16. The most straightforward way is to multiply two of them and then add or subtract the third number. Let's try multiplying 22 and 3 to get 66, and then subtracting 9 to get 16.</th>\\n<final_answer>\\nStep 1: 22 * 3 = 66\\nStep 2: ... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 16. The most straightforward way is to multiply two of them and then add or subtract the third number. Let's try multiplying 22 and 3 to get 66, and then subtracting 9 to get 16.</th>\\n<final_answer>\\nStep 1: 22 * 3 = 66\\nStep 2: 6... | 03ce236c2139b2502530b7d1a7b9f04b0a228c5b913baf576c61ea4f747ed6d7 | dda06b36cd550be53e6e802ae533a72a54ee914cd5531f6e91af805bc15e3093 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 16. The most straightforward way is to multiply two of them and then add or subtract the third number. Let's try multiplying 22 and 3 to get 66, and then subtracting 9 to get 16.</th>\n<final_answer>\nStep 1: 22 * 3 = 66\nStep 2: 66 - 9 = 57\nThe equa... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 16. The most straightforward way is to multiply two of them and then add or subtract the third number. Let's try multiplying 22 and 3 to get 66, and then subtracting 9 to get 16.</th>\n<final_answer>\nStep 1: 22 * 3 = 66\nSte... | 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 start by adding 3 and 6 to get 9. Then, I need to add 1 to this sum to reach 17. So, the equation could be: (3 + 6) + 1 = 17</think> \\n<answer>(3 + 6) + 1 = 17</answer>\\n\\nBut according to the format you asked for, it seems I've gone a bit off track. I should directly provide... | ["{'generation': \"<think>First, I can start by adding 3 and 6 to get 9. Then, I need to add 1 to this sum to reach 17. So, the equation could be: (3 + 6) + 1 = 17</think> \\n<answer>(3 + 6) + 1 = 17</answer>\\n\\nBut according to the format you asked for, it seems I've gone a bit off track. I should directly provide ... | 7212f88580197608ee45310d3946ace5165c460930b98ffcf2efbf62fbb9fd78 | 100530f6b8ebe121df0720a72d5b462f72fe2f623c2939e4925f50602d8c1ac8 | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by adding 3 and 6 to get 9. Then, I need to add 1 to this sum to reach 17. So, the equation could be: (3 + 6) + 1 = 17</think> \n<answer>(3 + 6) + 1 = 17</answer>\n\nBut according to the format you asked for, it seems I've gone a bit off track. I should directly provide the final answer bas... | [{"budget_forced_chunks": ["<think>First, I can start by adding 3 and 6 to get 9. Then, I need to add 1 to this sum to reach 17. So, the equation could be: (3 + 6) + 1 = 17</think> \n<answer>(3 + 6) + 1 = 17</answer>\n\nBut according to the format you asked for, it seems I've gone a bit off track. I should directly pr... | 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 find a way to combine the numbers 15, 3, and 22 using basic arithmetic operations to get the result of 23. One possible way is by using addition and multiplication.</think>\\n<final_answer>\\nStep 1: Use multiplication to combine 15 and 3, resulting in 45. Now the equation is... | ["{'generation': \"<think>First, I need to find a way to combine the numbers 15, 3, and 22 using basic arithmetic operations to get the result of 23. One possible way is by using addition and multiplication.</think>\\n<final_answer>\\nStep 1: Use multiplication to combine 15 and 3, resulting in 45. Now the equation is ... | 4cc81a73edb3c70a7f9a4e66405067bdd3cd557192e4ccc5363b1c3ffd066337 | a521bb80ce8b527bb25590df9a522d4cf8e9b94627649d903e1c6902c0f1408e | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the numbers 15, 3, and 22 using basic arithmetic operations to get the result of 23. One possible way is by using addition and multiplication.</think>\n<final_answer>\nStep 1: Use multiplication to combine 15 and 3, resulting in 45. Now the equation is 45 * 22 = 23.\nStep... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the numbers 15, 3, and 22 using basic arithmetic operations to get the result of 23. One possible way is by using addition and multiplication.</think>\n<final_answer>\nStep 1: Use multiplication to combine 15 and 3, resulting in 45. Now the equat... | 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 need to find a way to combine these numbers to get 17. I can start by dividing 21 by 2, which gives me 10.5. This isn't exactly 17, so I'll need to add or subtract something from 10.5.</think>\\n<think>Next, I can add 19 to 10.5 to get 29.5. Now I need to get from 29.5 to 17. The onl... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 17. I can start by dividing 21 by 2, which gives me 10.5. This isn't exactly 17, so I'll need to add or subtract something from 10.5.</think>\\n<think>Next, I can add 19 to 10.5 to get 29.5. Now I need to get from 29.5 to 17. The only... | 0ae865d4dbc5cfaea27c1a97d5dd26fd6cfc693d41b25c8bb22dfbab6e87b839 | d70ed273c01a94ba8bc2003830f89de9ad22d231a38e797ec80738614d894fa3 | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 17. I can start by dividing 21 by 2, which gives me 10.5. This isn't exactly 17, so I'll need to add or subtract something from 10.5.</think>\n<think>Next, I can add 19 to 10.5 to get 29.5. Now I need to get from 29.5 to 17. The only way to do this is... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 17. I can start by dividing 21 by 2, which gives me 10.5. This isn't exactly 17, so I'll need to add or subtract something from 10.5.</think>\n<think>Next, I can add 19 to 10.5 to get 29.5. Now I need to get from 29.5 to 17. ... | 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 start by adding 2 and 5 to get 7. Then, I need to make 2 more using the remaining numbers. I can do this by multiplying 2 by 6 and then subtracting 3 (which is one of the numbers I already used). This will give me 12 - 3 = 9. Now, I need to add 1 to make the total 23. So, the equ... | ["{'generation': \"<think>First, I can start by adding 2 and 5 to get 7. Then, I need to make 2 more using the remaining numbers. I can do this by multiplying 2 by 6 and then subtracting 3 (which is one of the numbers I already used). This will give me 12 - 3 = 9. Now, I need to add 1 to make the total 23. So, the equa... | e78c916c002984bf26b644862b714de89c9d41e56e57ccb2d0f7a65240145933 | 286866cc7d3d0e46a70d9a216c094be68ed8b30cb640270203c4a394f86b9e49 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by adding 2 and 5 to get 7. Then, I need to make 2 more using the remaining numbers. I can do this by multiplying 2 by 6 and then subtracting 3 (which is one of the numbers I already used). This will give me 12 - 3 = 9. Now, I need to add 1 to make the total 23. So, the equation would be: (2... | [{"budget_forced_chunks": ["<think>First, I can start by adding 2 and 5 to get 7. Then, I need to make 2 more using the remaining numbers. I can do this by multiplying 2 by 6 and then subtracting 3 (which is one of the numbers I already used). This will give me 12 - 3 = 9. Now, I need to add 1 to make the total 23. So,... | 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 start by forming the number 19 using the given numbers. The closest I can get with subtraction is 19 = 15 + 4 - 1. Now, I'll maintain this thought process to ensure each step aligns with the problem's requirement.</think>\\n<final_answer>\\nStep 1: 15 + 4 = 19\\n</final_answer> \... | ["{'generation': \"<think>First, I can start by forming the number 19 using the given numbers. The closest I can get with subtraction is 19 = 15 + 4 - 1. Now, I'll maintain this thought process to ensure each step aligns with the problem's requirement.</think>\\n<final_answer>\\nStep 1: 15 + 4 = 19\\n</final_answer> \\... | 8a18d4ad61f45669c35df9a8a11b091e5c9e57abb679b3d8d308f8c349b25e5f | fad17fb3a3ee78823eb8e4ca95379f63edd21a5e12798b1e0789047beff91fd7 | 9400f1b21cb527d7fa3d3eabba93557a18ebe7a2ca4e471cfe5e4c5b4ca7f767 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by forming the number 19 using the given numbers. The closest I can get with subtraction is 19 = 15 + 4 - 1. Now, I'll maintain this thought process to ensure each step aligns with the problem's requirement.</think>\n<final_answer>\nStep 1: 15 + 4 = 19\n</final_answer> \n\nNow, 19 is formed.... | [{"budget_forced_chunks": ["<think>First, I can start by forming the number 19 using the given numbers. The closest I can get with subtraction is 19 = 15 + 4 - 1. Now, I'll maintain this thought process to ensure each step aligns with the problem's requirement.</think>\n<final_answer>\nStep 1: 15 + 4 = 19\n</final_answ... | 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 start by using the last number, 17, as it's close to 13 and can be easily adjusted later if needed.</think>\\n<final_answer>\\nStep 1: Using the last number, 17, as a starting point, I'll try to manipulate the others to reach a total of 24.\\nStep 2: Consider the operation that w... | ["{'generation': \"<think>First, I can start by using the last number, 17, as it's close to 13 and can be easily adjusted later if needed.</think>\\n<final_answer>\\nStep 1: Using the last number, 17, as a starting point, I'll try to manipulate the others to reach a total of 24.\\nStep 2: Consider the operation that wo... | a939fd76dd91760abb7e4ac6dd9cdd69c16832cb3afe806f723809d6674d9183 | 3af93761d572522bee5fffcdc85aac9c40d522a4f5704eb204a2145e90ca8e13 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the last number, 17, as it's close to 13 and can be easily adjusted later if needed.</think>\n<final_answer>\nStep 1: Using the last number, 17, as a starting point, I'll try to manipulate the others to reach a total of 24.\nStep 2: Consider the operation that would be closest to ac... | [{"budget_forced_chunks": ["<think>First, I can start by using the last number, 17, as it's close to 13 and can be easily adjusted later if needed.</think>\n<final_answer>\nStep 1: Using the last number, 17, as a starting point, I'll try to manipulate the others to reach a total of 24.\nStep 2: Consider the operation t... | 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 need to think of a way to combine these numbers to get 25. 20 + 9 = 29, which is close, but not quite 25. 20 + 1 + 3 = 24, which is even closer, but still not quite 25. The missing number is between 1 and 9, and the operation needed is either +, -, * or /. And each number can only be... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 25. 20 + 9 = 29, which is close, but not quite 25. 20 + 1 + 3 = 24, which is even closer, but still not quite 25. The missing number is between 1 and 9, and the operation needed is either +, -, * or /. And each number can only be ... | 54074718fc33cde0d1ffb866e238f9ee9e73e4eb30deff57612ecfcabb7c0aa8 | 09a3501b533aecd2d38214aab61d6e005bf47b6c36df8a3cb6cc750794728110 | b7a56873cd771f2c446d369b649430b65a756ba278ff97ec81bb6f55b2e73569 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 25. 20 + 9 = 29, which is close, but not quite 25. 20 + 1 + 3 = 24, which is even closer, but still not quite 25. The missing number is between 1 and 9, and the operation needed is either +, -, * or /. And each number can only be used once.</think... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 25. 20 + 9 = 29, which is close, but not quite 25. 20 + 1 + 3 = 24, which is even closer, but still not quite 25. The missing number is between 1 and 9, and the operation needed is either +, -, * or /. And each number can... | 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 need to think of a way to combine these numbers to get 17. One way is through addition or subtraction, but multiplication or division might be more straightforward in this case.</think>\\n<final_answer>\\nStep 1: In the first step, I will multiply 19 by 1, which is 19.\\nStep 2: Now,... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 17. One way is through addition or subtraction, but multiplication or division might be more straightforward in this case.</think>\\n<final_answer>\\nStep 1: In the first step, I will multiply 19 by 1, which is 19.\\nStep 2: Now, ... | 5e9a09fdc605b12c61135540e930f653f86cd4d1572d9149cb281ff1e69004e0 | 4a1eb49f78824faa8128953d30b3c4be9bcc3515c1d66b954e7165e50b92606f | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 17. One way is through addition or subtraction, but multiplication or division might be more straightforward in this case.</think>\n<final_answer>\nStep 1: In the first step, I will multiply 19 by 1, which is 19.\nStep 2: Now, I need to reach a to... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 17. One way is through addition or subtraction, but multiplication or division might be more straightforward in this case.</think>\n<final_answer>\nStep 1: In the first step, I will multiply 19 by 1, which is 19.\nStep 2:... | 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 need to find a way to combine these numbers to get 18. The most straightforward approach is to add or subtract them, so I'll start with that option.</think>\\n<final_answer>\\nStep 1: Consider adding the numbers. 6 + 16 + 17 + 21 = 50, which is not helpful since we're trying to get t... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 18. The most straightforward approach is to add or subtract them, so I'll start with that option.</think>\\n<final_answer>\\nStep 1: Consider adding the numbers. 6 + 16 + 17 + 21 = 50, which is not helpful since we're trying to get to... | 5d6946d5bae41ad89ef8b142890fcccb941af44fcb19a052c920cc994415c022 | 656e0436e2d4c37f42635c0cc65e38bc1a4c562af47a499516eb06749fdba456 | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 18. The most straightforward approach is to add or subtract them, so I'll start with that option.</think>\n<final_answer>\nStep 1: Consider adding the numbers. 6 + 16 + 17 + 21 = 50, which is not helpful since we're trying to get to 18.\nStep 2: Now, ... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 18. The most straightforward approach is to add or subtract them, so I'll start with that option.</think>\n<final_answer>\nStep 1: Consider adding the numbers. 6 + 16 + 17 + 21 = 50, which is not helpful since we're trying to... | 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 start by using the numbers to create a multiplication problem that results in 24. 3 x 16 is 48, which is close, but not exactly 24. 12 x 2 is 24, but that uses two of the numbers we\\'re trying to use only once. 14 x 16 is 224, which uses two of the numbers we\\'re trying to use o... | ["{'generation': '<think>First, I can start by using the numbers to create a multiplication problem that results in 24. 3 x 16 is 48, which is close, but not exactly 24. 12 x 2 is 24, but that uses two of the numbers we\\'re trying to use only once. 14 x 16 is 224, which uses two of the numbers we\\'re trying to use on... | d8bbffa5e5aafaa81683a064a1e22217380d39e326b48c7a3892f8be8bd55e73 | ec25b954d4c64b681f6a629e1bebf6d529c421771c4d7ef6b38b109b278a8b99 | c2356069e9d1e79ca924378153cfbbfb4d4416b1f99d41a2940bfdb66c5319db | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the numbers to create a multiplication problem that results in 24. 3 x 16 is 48, which is close, but not exactly 24. 12 x 2 is 24, but that uses two of the numbers we're trying to use only once. 14 x 16 is 224, which uses two of the numbers we're trying to use only once. 16 x 12 is ... | [{"budget_forced_chunks": ["<think>First, I can start by using the numbers to create a multiplication problem that results in 24. 3 x 16 is 48, which is close, but not exactly 24. 12 x 2 is 24, but that uses two of the numbers we're trying to use only once. 14 x 16 is 224, which uses two of the numbers we're trying to ... | 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 need to find a way to combine the given numbers [4, 6, 11] using basic arithmetic operations (+, -, *, /) to reach the target number 20. Each number can only be used once. Let's start by exploring possible operations,</think>\\n<final_answer> \\nTo solve this, we can add 4 and 6 to g... | ["{'generation': \"<think>First, I need to find a way to combine the given numbers [4, 6, 11] using basic arithmetic operations (+, -, *, /) to reach the target number 20. Each number can only be used once. Let's start by exploring possible operations,</think>\\n<final_answer> \\nTo solve this, we can add 4 and 6 to ge... | e1fd07ae613d4433c60203d498668d3115bfa1c141ec77d811980d28281a64ce | 97371084dfc8c3d3a11b264c62dd52e390799a6af505406ad31e1b2b54b56055 | f5ca38f748a1d6eaf726b8a42fb575c3c71f1864a8143301782de13da2d9202b | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine the given numbers [4, 6, 11] using basic arithmetic operations (+, -, *, /) to reach the target number 20. Each number can only be used once. Let's start by exploring possible operations,</think>\n<final_answer> \nTo solve this, we can add 4 and 6 to get 10, then multiply... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine the given numbers [4, 6, 11] using basic arithmetic operations (+, -, *, /) to reach the target number 20. Each number can only be used once. Let's start by exploring possible operations,</think>\n<final_answer> \nTo solve this, we can add 4 and ... | 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 need to think of a way to combine these numbers to get 23. 16 + 21 + 15 + 2 = 54, which is close, but not quite 23. Maybe I can subtract one of these numbers from the total to get closer to the target. 54 - 21 = 33, which is still not quite there. 54 - 15 = 39, which is even further. ... | ["{'generation': '<think>First, I need to think of a way to combine these numbers to get 23. 16 + 21 + 15 + 2 = 54, which is close, but not quite 23. Maybe I can subtract one of these numbers from the total to get closer to the target. 54 - 21 = 33, which is still not quite there. 54 - 15 = 39, which is even further. c... | 3a1b25f4d472756ebdf562f6119b65b746b767ea84a4dd799bd070e16ecfe97b | d458798ae840986384fb19120fb9fb1a5e41c093e8037f36a443be3fcc0dcaf9 | 535fa30d7e25dd8a49f1536779734ec8286108d115da5045d77f3b4185d8f790 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 23. 16 + 21 + 15 + 2 = 54, which is close, but not quite 23. Maybe I can subtract one of these numbers from the total to get closer to the target. 54 - 21 = 33, which is still not quite there. 54 - 15 = 39, which is even further. closest, but stil... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 23. 16 + 21 + 15 + 2 = 54, which is close, but not quite 23. Maybe I can subtract one of these numbers from the total to get closer to the target. 54 - 21 = 33, which is still not quite there. 54 - 15 = 39, which is even ... | 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 start by using the number 4 as the base for my operations, since it appears twice and will make for a manageable equation.</think>\\n<final_answer>\\nStep 1: (16 - 4) * 1 = 12 (Subtract 4 from 16)\\nStep 2: 12 + 21 = 33 (Add 21 to the result)\\nFinal Answer: 33</final_answer>\\n\... | ["{'generation': \"<think>First, I can start by using the number 4 as the base for my operations, since it appears twice and will make for a manageable equation.</think>\\n<final_answer>\\nStep 1: (16 - 4) * 1 = 12 (Subtract 4 from 16)\\nStep 2: 12 + 21 = 33 (Add 21 to the result)\\nFinal Answer: 33</final_answer>\\n\\... | d072894f0ec9b0cfbfa2cc48b6771ecc2c365ef18772bb99cdcc43a7540ee46f | 7bde26e5b3b1575939cd70cea46432c285a6285297650ad797a14d239b460762 | b17ef6d19c7a5b1ee83b907c595526dcb1eb06db8227d650d5dda0a9f4ce8cd9 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I can start by using the number 4 as the base for my operations, since it appears twice and will make for a manageable equation.</think>\n<final_answer>\nStep 1: (16 - 4) * 1 = 12 (Subtract 4 from 16)\nStep 2: 12 + 21 = 33 (Add 21 to the result)\nFinal Answer: 33</final_answer>\n\nBut according to the t... | [{"budget_forced_chunks": ["<think>First, I can start by using the number 4 as the base for my operations, since it appears twice and will make for a manageable equation.</think>\n<final_answer>\nStep 1: (16 - 4) * 1 = 12 (Subtract 4 from 16)\nStep 2: 12 + 21 = 33 (Add 21 to the result)\nFinal Answer: 33</final_answer>... | 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 need to think of a way to combine the numbers 8, 4, and 15 to get a sum of 17. One way is to start with 8 + 4 = 12, and then add 5 to get to 17. So my thought equation might be:</think>\\n<answer>((8 + 4) * 5 = 17)</answer>\\n\\nHowever, 8 + 4 = 12, which is already greater than 17. T... | ["{'generation': '<think>First, I need to think of a way to combine the numbers 8, 4, and 15 to get a sum of 17. One way is to start with 8 + 4 = 12, and then add 5 to get to 17. So my thought equation might be:</think>\\n<answer>((8 + 4) * 5 = 17)</answer>\\n\\nHowever, 8 + 4 = 12, which is already greater than 17. Th... | efcaf1a72cc1c5524e2e8c8faf13eb037aad0cfaeda5e5f50a2a2902dde53333 | 23aa6021a0c062a9b897ef9afa175819a2757915f30ab230bbb56d2e9f0d4379 | 4523540f1504cd17100c4835e85b7eefd49911580f8efff0599a8f283be6b9e3 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine the numbers 8, 4, and 15 to get a sum of 17. One way is to start with 8 + 4 = 12, and then add 5 to get to 17. So my thought equation might be:</think>\n<answer>((8 + 4) * 5 = 17)</answer>\n\nHowever, 8 + 4 = 12, which is already greater than 17. Therefore, this combi... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine the numbers 8, 4, and 15 to get a sum of 17. One way is to start with 8 + 4 = 12, and then add 5 to get to 17. So my thought equation might be:</think>\n<answer>((8 + 4) * 5 = 17)</answer>\n\nHowever, 8 + 4 = 12, which is already greater than... | 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 these numbers to get 13. One way is through addition or subtraction, but since the assistant mentioned an equation, I'll use * and / to indicate multiplication and division, respectively.</think>\\n<final_answer>\\nStep 1: 20 - 7 = 13\\nStep 2: 17 * ... | ["{'generation': \"<think>First, I need to think of a way to combine these numbers to get 13. One way is through addition or subtraction, but since the assistant mentioned an equation, I'll use * and / to indicate multiplication and division, respectively.</think>\\n<final_answer>\\nStep 1: 20 - 7 = 13\\nStep 2: 17 * 2... | 06649405689279406a3c70aecf0a5a85d6c4f8da6b95412e61bf2dca98890c04 | 55ba249ea0e0bd5cabb609e0cc089c7f40c89a4d809e27c8712b899ba78b1571 | 3fdba35f04dc8c462986c992bcf875546257113072a909c162f7e470e581e278 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to think of a way to combine these numbers to get 13. One way is through addition or subtraction, but since the assistant mentioned an equation, I'll use * and / to indicate multiplication and division, respectively.</think>\n<final_answer>\nStep 1: 20 - 7 = 13\nStep 2: 17 * 2 = 34\nStep 3: 34 + ... | [{"budget_forced_chunks": ["<think>First, I need to think of a way to combine these numbers to get 13. One way is through addition or subtraction, but since the assistant mentioned an equation, I'll use * and / to indicate multiplication and division, respectively.</think>\n<final_answer>\nStep 1: 20 - 7 = 13\nStep 2: ... | 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 need to find a way to combine these numbers to get 14. The most straightforward way is to add or subtract them, so I\\'ll start with that.</think>\\n<final_answer>\\nStep 1: Try adding all the numbers together to see if we get 14.\\n1 + 9 = 10\\n10 + 14 = 24\\n24 + 11 = 35\\nSo, one w... | ["{'generation': '<think>First, I need to find a way to combine these numbers to get 14. The most straightforward way is to add or subtract them, so I\\'ll start with that.</think>\\n<final_answer>\\nStep 1: Try adding all the numbers together to see if we get 14.\\n1 + 9 = 10\\n10 + 14 = 24\\n24 + 11 = 35\\nSo, one wa... | 0e937e0893608a7dccea4dc5ebe2f18c3d7a0f90b5cea4b17f34fb5a0fddcb7e | 4367a333b8fbb8824e45aa74045b82d4909a70148afc968b397a44152d78cf2d | 8527a891e224136950ff32ca212b45bc93f69fbb801c3b1ebedac52775f99e61 | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 14. The most straightforward way is to add or subtract them, so I'll start with that.</think>\n<final_answer>\nStep 1: Try adding all the numbers together to see if we get 14.\n1 + 9 = 10\n10 + 14 = 24\n24 + 11 = 35\nSo, one way to get 14 is through a... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 14. The most straightforward way is to add or subtract them, so I'll start with that.</think>\n<final_answer>\nStep 1: Try adding all the numbers together to see if we get 14.\n1 + 9 = 10\n10 + 14 = 24\n24 + 11 = 35\nSo, one ... | 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 need to find a way to combine these numbers to get 18. The numbers are 22, 16, 5, and 15. The arithmetic mean might be a good starting point.</think>\\n<final_answer>\\nStep 1: Calculate (22 + 16 + 5 + 15) / 4 = 18. \\nThe average of these four numbers is 18, which is 22 + 16 + 5 + 1... | ["{'generation': \"<think>First, I need to find a way to combine these numbers to get 18. The numbers are 22, 16, 5, and 15. The arithmetic mean might be a good starting point.</think>\\n<final_answer>\\nStep 1: Calculate (22 + 16 + 5 + 15) / 4 = 18. \\nThe average of these four numbers is 18, which is 22 + 16 + 5 + 15... | c05b04ca7ae2cc4348826abbfbaf15c8c666eac685b4eac2862b07de889f7024 | a3e4733b904b745aded4db23f1be09a0a5ea7593a933cb6bee0e85f6aba4d55f | 4ec9599fc203d176a301536c2e091a19bc852759b255bd6818810a42c5fed14a | 0 | [false] | samples_countdown_2025-06-06T01-55-49.780168.jsonl | ["<think>First, I need to find a way to combine these numbers to get 18. The numbers are 22, 16, 5, and 15. The arithmetic mean might be a good starting point.</think>\n<final_answer>\nStep 1: Calculate (22 + 16 + 5 + 15) / 4 = 18. \nThe average of these four numbers is 18, which is 22 + 16 + 5 + 15 = 68, divided by 4.... | [{"budget_forced_chunks": ["<think>First, I need to find a way to combine these numbers to get 18. The numbers are 22, 16, 5, and 15. The arithmetic mean might be a good starting point.</think>\n<final_answer>\nStep 1: Calculate (22 + 16 + 5 + 15) / 4 = 18. \nThe average of these four numbers is 18, which is 22 + 16 + ... | null |
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