Split (1)

train · 1.6k rows

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
0	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	125	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [96, 97, 68], create an equation that equals 125. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 96, 97, and 68 to make 125. Each number can only be used once. Hmm. Let's start by subtracting 96 from 97, but that would give me 1, but I don't need that. Alternatively, subtract 97 minus 96 equals 1, but again that's not helpful. Alternatively, subtract 9...	["{'generation': \"Okay, let's see. I need to use the numbers 96, 97, and 68 to make 125. Each number can only be used once. Hmm. Let's start by subtracting 96 from 97, but that would give me 1, but I don't need that. Alternatively, subtract 97 minus 96 equals 1, but again that's not helpful. Alternatively, subtract 97...	4455361a502190e56d7a51e666f30c9d427f9b501240ae083903ad0ff0d4227c	f6657be235eab1132eb772f8489f5796e534546e9e82e60e8aeeec0162978c6c	0f8ef3377b30fc47f96b48247f463a726a802f62f3faa03d56403751d2f66c67	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 96, 97, and 68 to make 125. Each number can only be used once. Hmm. Let's start by subtracting 96 from 97, but that would give me 1, but I don't need that. Alternatively, subtract 97 minus 96 equals 1, but again that's not helpful. Alternatively, subtract 97 minus 68 equals ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 96, 97, and 68 to make 125. Each number can only be used once. Hmm. Let's start by subtracting 96 from 97, but that would give me 1, but I don't need that. Alternatively, subtract 97 minus 96 equals 1, but again that's not helpful. Alternatively, su...
1	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	105	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [21, 80, 46], create an equation that equals 105. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': 'Okay, let\\'s see. I need to use the numbers 21, 80, and 46 to make 105. Each step can use two numbers. So first step would be 80 minus 21 equals 59, but that\\'s over by 14, which is not 105. That\\'s not working. Alternatively, 80 minus 46 is 34, which is 14 over, again not 105. Alternatively, 80 m...	["{'generation': 'Okay, let\\'s see. I need to use the numbers 21, 80, and 46 to make 105. Each step can use two numbers. So first step would be 80 minus 21 equals 59, but that\\'s over by 14, which is not 105. That\\'s not working. Alternatively, 80 minus 46 is 34, which is 14 over, again not 105. Alternatively, 80 mi...	28356512ff4ab07a774c4920ba1f92c8e3c41fc8c442cf2341018d6bd2c94b66	12d53d8d0d2730a5980d3cba95fad4350b173ba45fc538a85454459a319d5b85	1253e9373e781b7500266caa55150e08e210bc8cd8cc70d89985e3600155e860	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 21, 80, and 46 to make 105. Each step can use two numbers. So first step would be 80 minus 21 equals 59, but that's over by 14, which is not 105. That's not working. Alternatively, 80 minus 46 is 34, which is 14 over, again not 105. Alternatively, 80 minus 21 plus 46 equals ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 21, 80, and 46 to make 105. Each step can use two numbers. So first step would be 80 minus 21 equals 59, but that's over by 14, which is not 105. That's not working. Alternatively, 80 minus 46 is 34, which is 14 over, again not 105. Alternatively, 8...
2	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	500	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [6, 76, 96], create an equation that equals 500. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 6, 76, and 96 to make 500. Each number can only be used once. So I can use 96 and 76 first. If I subtract 96 from 76, that would give me negative 20, but that's not helpful. Alternatively, if I subtract 76 minus 96, that's 20, but again that's not 500. \\n\...	["{'generation': \"Okay, let's see. I need to use the numbers 6, 76, and 96 to make 500. Each number can only be used once. So I can use 96 and 76 first. If I subtract 96 from 76, that would give me negative 20, but that's not helpful. Alternatively, if I subtract 76 minus 96, that's 20, but again that's not 500. \\n\\...	547b213cab68f7f0a67015f6c37412c5debfe6acefd40bbdb3db8679237d6990	988b21cf10eecf4692ed48c3aa15e0f7bcdaedbf214f250f82f683990b00fed1	0604cd3138feed202ef293e062da2f4720f77a05d25ee036a7a01c9cfcdd1f0a	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 6, 76, and 96 to make 500. Each number can only be used once. So I can use 96 and 76 first. If I subtract 96 from 76, that would give me negative 20, but that's not helpful. Alternatively, if I subtract 76 minus 96, that's 20, but again that's not 500. \n\nAlternatively, add...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 6, 76, and 96 to make 500. Each number can only be used once. So I can use 96 and 76 first. If I subtract 96 from 76, that would give me negative 20, but that's not helpful. Alternatively, if I subtract 76 minus 96, that's 20, but again that's not 5...
3	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	630	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [42, 12, 3], create an equation that equals 630. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 42, 12, and 3 to make 630. Each number can only be used once. So first, maybe multiply 42 by 12, that would give me 504, but that's 15 short of 630. But I only have 3 left, which is not enough. Alternatively, 42 multiplied by (12 minus 3) would be 42*9=378,...	["{'generation': \"Okay, let's see. I need to use the numbers 42, 12, and 3 to make 630. Each number can only be used once. So first, maybe multiply 42 by 12, that would give me 504, but that's 15 short of 630. But I only have 3 left, which is not enough. Alternatively, 42 multiplied by (12 minus 3) would be 42*9=378, ...	9ddf80a85f0173fa71bb87c630aaf48b58ad0ea2c76becf29cf4d64369ddc05d	c4eb7ff2b0e26e807fe79b12346bec9ef4204188b2fc1775143d31085738c0a8	21900f41ecb7b8e6cfd9250f096aad2fe7f6d8fbec9436b2d28e48c304ff8255	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 42, 12, and 3 to make 630. Each number can only be used once. So first, maybe multiply 42 by 12, that would give me 504, but that's 15 short of 630. But I only have 3 left, which is not enough. Alternatively, 42 multiplied by (12 minus 3) would be 42*9=378, which is still 15...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 42, 12, and 3 to make 630. Each number can only be used once. So first, maybe multiply 42 by 12, that would give me 504, but that's 15 short of 630. But I only have 3 left, which is not enough. Alternatively, 42 multiplied by (12 minus 3) would be 4...
4	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	194	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [18, 85, 91], create an equation that equals 194. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 18, 85, and 91 to make 194. Each step can use two numbers. So subtract 18 from 85, that would give me 67, but that's way below 194. Alternatively, subtract 85 minus 18 equals 67, but again that's not 194. What if I subtract 91 minus 85 equals 6, but that's ...	["{'generation': \"Okay, let's see. I need to use the numbers 18, 85, and 91 to make 194. Each step can use two numbers. So subtract 18 from 85, that would give me 67, but that's way below 194. Alternatively, subtract 85 minus 18 equals 67, but again that's not 194. What if I subtract 91 minus 85 equals 6, but that's a...	37d179d045e508122108dc95ca8f8d2f0c5e7d6f63383bce9237beb1023beeaa	c95523b98ae848bc9d9c75cca8e0cf172b22e340c807409f06dd262cdb907e52	7559ca4a957c8c82ba04781cd66a68d6022229fca0e8e88d8e487c96ee4446d0	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 18, 85, and 91 to make 194. Each step can use two numbers. So subtract 18 from 85, that would give me 67, but that's way below 194. Alternatively, subtract 85 minus 18 equals 67, but again that's not 194. What if I subtract 91 minus 85 equals 6, but that's also not 194. Alte...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 18, 85, and 91 to make 194. Each step can use two numbers. So subtract 18 from 85, that would give me 67, but that's way below 194. Alternatively, subtract 85 minus 18 equals 67, but again that's not 194. What if I subtract 91 minus 85 equals 6, but...
5	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	103	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [86, 69, 52], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 86, 69, and 52 to make 103. Each step can use two numbers. How can I subtract 86 from 86, but that would require using the 86 twice, which is not allowed. Alternatively, subtract 86 minus 69 equals 9, but that's not 103. Then I have 52 left, but that would ...	["{'generation': \"Okay, let's see. I need to use the numbers 86, 69, and 52 to make 103. Each step can use two numbers. How can I subtract 86 from 86, but that would require using the 86 twice, which is not allowed. Alternatively, subtract 86 minus 69 equals 9, but that's not 103. Then I have 52 left, but that would r...	512f2db0ed2923b95a3f3b5ace33a37da0d507af1458a0fbb6c0f76b95b95783	af4df03feb5c0a66a930238090353061724e5b20aa6b1a61c61b1f8fbca2dc7c	454f63ac30c8322997ef025edff6abd23e0dbe7b8a3d5126a894e4a168c1b59b	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 86, 69, and 52 to make 103. Each step can use two numbers. How can I subtract 86 from 86, but that would require using the 86 twice, which is not allowed. Alternatively, subtract 86 minus 69 equals 9, but that's not 103. Then I have 52 left, but that would require using 52 a...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 86, 69, and 52 to make 103. Each step can use two numbers. How can I subtract 86 from 86, but that would require using the 86 twice, which is not allowed. Alternatively, subtract 86 minus 69 equals 9, but that's not 103. Then I have 52 left, but tha...
6	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	354	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [63, 7, 87], create an equation that equals 354. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 63, 7, and 87 to make 354. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe subtract 63 from 87, but that would give me 24, but that's way too low. Alternatively, adding 63 and 7 gives 7...	["{'generation': \"Okay, let's see. I need to use the numbers 63, 7, and 87 to make 354. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe subtract 63 from 87, but that would give me 24, but that's way too low. Alternatively, adding 63 and 7 gives 70...	69ce7c9be14338bde6fcfd2483341004953caff7d77566811efbefe4b50ba921	6198d755d56c87d6ca76fe86ce44e82bc50f4933eb506a33f40b3439f05df7cf	09a1b036b82baba3177d83c27c1f7d0beacaac6de1c5fdcc9680c49f638c5fb9	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 63, 7, and 87 to make 354. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe subtract 63 from 87, but that would give me 24, but that's way too low. Alternatively, adding 63 and 7 gives 70, but that's still ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 63, 7, and 87 to make 354. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe subtract 63 from 87, but that would give me 24, but that's way too low. Alternatively, adding 63 and 7 g...
7	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	102	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [8, 50, 19], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 8, 50, and 19 to make 102. Each step can use two numbers. So first step would be 50 minus 8 equals 42, but that's less than 102. That's not working. Alternatively, 50 plus 8 is 58, but that's still less than 102. Then adding 19 would give 77, which is under...	["{'generation': \"Okay, let's see. I need to use the numbers 8, 50, and 19 to make 102. Each step can use two numbers. So first step would be 50 minus 8 equals 42, but that's less than 102. That's not working. Alternatively, 50 plus 8 is 58, but that's still less than 102. Then adding 19 would give 77, which is under ...	93fd555803577daad4f18f55111e9f8643374de9b8bf595e5c4699da14d768a0	4b35cd4f75906c16c3025286550ee44c5c97a231b7133ee47022e017853f98ca	37834f2f25762f23e1f74a531cbe445db73d6765ebe60878a7dfbecd7d4af6e1	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 8, 50, and 19 to make 102. Each step can use two numbers. So first step would be 50 minus 8 equals 42, but that's less than 102. That's not working. Alternatively, 50 plus 8 is 58, but that's still less than 102. Then adding 19 would give 77, which is under 102. That's also ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 8, 50, and 19 to make 102. Each step can use two numbers. So first step would be 50 minus 8 equals 42, but that's less than 102. That's not working. Alternatively, 50 plus 8 is 58, but that's still less than 102. Then adding 19 would give 77, which ...
8	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	124	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [38, 46, 40], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 38, 46, and 40 to make 124. Each number can only be used once. So I have three numbers and I can use addition, subtraction, subtraction, or division. Let me think of possible combinations.\\n\\nFirst, maybe subtract 38 from 46, that would give me 8, but tha...	["{'generation': \"Okay, let's see. I need to use the numbers 38, 46, and 40 to make 124. Each number can only be used once. So I have three numbers and I can use addition, subtraction, subtraction, or division. Let me think of possible combinations.\\n\\nFirst, maybe subtract 38 from 46, that would give me 8, but that...	aa4f245e3c88c4f2d45067293a9f60de8c831505ae6b1f18c8b1e22ef2ac2792	398149cf28425ad7bd988d4ab64b725c89050b0456592ed4ffa62f15c106d8d6	6affdae3b3c1aa6aa7689e9b6a7b3225a636aa1ac0025f490cca1285ceaf1487	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 38, 46, and 40 to make 124. Each number can only be used once. So I have three numbers and I can use addition, subtraction, subtraction, or division. Let me think of possible combinations.\n\nFirst, maybe subtract 38 from 46, that would give me 8, but that's not 124. But I a...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 38, 46, and 40 to make 124. Each number can only be used once. So I have three numbers and I can use addition, subtraction, subtraction, or division. Let me think of possible combinations.\n\nFirst, maybe subtract 38 from 46, that would give me 8, b...
9	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	132	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [92, 21, 19], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 92, 21, and 19 to make 132. Each step can use two numbers. So first step would be 92 minus 21 equals 71, but that's over by 19, so that's not 132. Alternatively, 92 minus 19 is 73, but that's over by 21, so that's also not 132. What if I subtract 92 minus 2...	["{'generation': \"Okay, let's see. I need to use the numbers 92, 21, and 19 to make 132. Each step can use two numbers. So first step would be 92 minus 21 equals 71, but that's over by 19, so that's not 132. Alternatively, 92 minus 19 is 73, but that's over by 21, so that's also not 132. What if I subtract 92 minus 21...	93a6e0c780c6767d113f2914888e07d35cfb67073d39e1ecf1f6e58df3244fe2	107a0883633c998674cc5fb5750b4c2b65867607a2d6fb3e3de27934df2ea1c8	dbb1ded63bc70732626c5dfe6c7f50ced3d560e970f30b15335ac290358748f6	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 92, 21, and 19 to make 132. Each step can use two numbers. So first step would be 92 minus 21 equals 71, but that's over by 19, so that's not 132. Alternatively, 92 minus 19 is 73, but that's over by 21, so that's also not 132. What if I subtract 92 minus 21 minus 19 equals ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 92, 21, and 19 to make 132. Each step can use two numbers. So first step would be 92 minus 21 equals 71, but that's over by 19, so that's not 132. Alternatively, 92 minus 19 is 73, but that's over by 21, so that's also not 132. What if I subtract 92...
10	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	322	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [23, 21, 7], create an equation that equals 322. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 23, 21, and 7 to make 322. Each number can only be used once. Hmm. Let's start by thinking about the largest numbers first. If I subtract 23 from 21, that would give me a negative number, but that's not helpful. Alternatively, subtracting 21 minus 23 would ...	["{'generation': \"Okay, let's see. I need to use the numbers 23, 21, and 7 to make 322. Each number can only be used once. Hmm. Let's start by thinking about the largest numbers first. If I subtract 23 from 21, that would give me a negative number, but that's not helpful. Alternatively, subtracting 21 minus 23 would g...	e13d0b9765b705e804e265bf47d3f70b0128be970c23bc7b3c729a66edfb700d	21ca7718af6c7b15d30d3bb5799c1014a6b9829dc5dd7b668e3cc6d06143914b	f10d91a7596bf5a6773579ff1306afdc363b0be08602c768907c09261cad3a56	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 23, 21, and 7 to make 322. Each number can only be used once. Hmm. Let's start by thinking about the largest numbers first. If I subtract 23 from 21, that would give me a negative number, but that's not helpful. Alternatively, subtracting 21 minus 23 would give me negative t...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 23, 21, and 7 to make 322. Each number can only be used once. Hmm. Let's start by thinking about the largest numbers first. If I subtract 23 from 21, that would give me a negative number, but that's not helpful. Alternatively, subtracting 21 minus 2...
11	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	206	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [83, 65, 58], create an equation that equals 206. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 83, 65, and 58 to make 206. Each step can use two numbers. How can I combine them? Maybe subtract two numbers and add the third? Let's try different operations.\\n\\nFirst idea: 83 minus 65 is 18, but that's not 206. Then adding 58 would give 241, which is ...	["{'generation': \"Okay, let's see. I need to use the numbers 83, 65, and 58 to make 206. Each step can use two numbers. How can I combine them? Maybe subtract two numbers and add the third? Let's try different operations.\\n\\nFirst idea: 83 minus 65 is 18, but that's not 206. Then adding 58 would give 241, which is o...	e67d76c1e74dcd96bf8e10d656050aba02bcf6e8ba79a9aca0d1ceee476a6724	be44034a84398083ed2022703ff27c69c7c9eb4ac2fede25e1bf485c45a77b1f	5cf4e26bd3d87da5e03f80a43a64f1220a1f4ba9e1d6348caea83c06353c3f39	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 83, 65, and 58 to make 206. Each step can use two numbers. How can I combine them? Maybe subtract two numbers and add the third? Let's try different operations.\n\nFirst idea: 83 minus 65 is 18, but that's not 206. Then adding 58 would give 241, which is over. That's not rig...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 83, 65, and 58 to make 206. Each step can use two numbers. How can I combine them? Maybe subtract two numbers and add the third? Let's try different operations.\n\nFirst idea: 83 minus 65 is 18, but that's not 206. Then adding 58 would give 241, whi...
12	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	101	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [89, 48, 60], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 89, 48, and 60 to make 101. Each step can use two numbers. So first step would be subtract 89 from 89, but that would give me 0, but that's not 101. That's not allowed because I can't use the 89 again. So that's not the answer.\\n\\nAlternatively, subtract ...	["{'generation': \"Okay, let's see. I need to use the numbers 89, 48, and 60 to make 101. Each step can use two numbers. So first step would be subtract 89 from 89, but that would give me 0, but that's not 101. That's not allowed because I can't use the 89 again. So that's not the answer.\\n\\nAlternatively, subtract 8...	fb02fb2bfbbab4e3e89d5ed75910433b90620c3da1ea7f34af77bf8b1dd42b1d	9b2fcd3ce3596adf0b0d8fbb0223bcfa6be05798c07aa55813fae8c765d3b872	16dc368a89b428b2485484313ba67a3912ca03f2b2b42429174a4f8b3dc84e44	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 89, 48, and 60 to make 101. Each step can use two numbers. So first step would be subtract 89 from 89, but that would give me 0, but that's not 101. That's not allowed because I can't use the 89 again. So that's not the answer.\n\nAlternatively, subtract 89 minus 48 equals 4...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 89, 48, and 60 to make 101. Each step can use two numbers. So first step would be subtract 89 from 89, but that would give me 0, but that's not 101. That's not allowed because I can't use the 89 again. So that's not the answer.\n\nAlternatively, sub...
13	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	108	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [73, 30, 65], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': 'Okay, let\\'s see. I need to use the numbers 73, 30, and 65 to make 108. Each step can use two numbers. So first step subtract 73 from 73, but that would give me 0, but that\\'s not 108. That\\'s not allowed because I can\\'t use the 73 again. Alternatively, subtract 73 minus 30 equals 43, but that\\...	["{'generation': 'Okay, let\\'s see. I need to use the numbers 73, 30, and 65 to make 108. Each step can use two numbers. So first step subtract 73 from 73, but that would give me 0, but that\\'s not 108. That\\'s not allowed because I can\\'t use the 73 again. Alternatively, subtract 73 minus 30 equals 43, but that\\'...	a2761718e209d2d4e0ce1302a108a04732cb4436e11331c422650e55aedec29a	99e7c24edd95e08d35013e662662fdbd0b396b8cc0621e536b286fbbb3de437a	9537f32ec7599e1ae953af6c9f929fe747ff9dadf79a9beff1f304c550173011	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 73, 30, and 65 to make 108. Each step can use two numbers. So first step subtract 73 from 73, but that would give me 0, but that's not 108. That's not allowed because I can't use the 73 again. Alternatively, subtract 73 minus 30 equals 43, but that's over. Then subtract 73 m...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 73, 30, and 65 to make 108. Each step can use two numbers. So first step subtract 73 from 73, but that would give me 0, but that's not 108. That's not allowed because I can't use the 73 again. Alternatively, subtract 73 minus 30 equals 43, but that'...
14	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	134	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [74, 97, 37], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 74, 97, and 37 to make 134. Each number can only be used once. So I have to figure out how to combine these with addition, subtraction, multiplication, or division. \\n\\nFirst, maybe start by looking at the largest numbers. 97 is close to 100, and 74 is 16...	["{'generation': \"Okay, let's see. I need to use the numbers 74, 97, and 37 to make 134. Each number can only be used once. So I have to figure out how to combine these with addition, subtraction, multiplication, or division. \\n\\nFirst, maybe start by looking at the largest numbers. 97 is close to 100, and 74 is 16 ...	60ef85fa3785b917fccb9a5c5d4ca597a92267c87bb1220790b4162ee6023feb	e6de6fa49d3cda2799a3cc7801cb6ac0d383a32a14c40b6544c90a0c82fdd266	5d389f5e2e34c6b0bad96581c22cee0be36dcf627cd73af4d4cccacd9ef40cc3	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 74, 97, and 37 to make 134. Each number can only be used once. So I have to figure out how to combine these with addition, subtraction, multiplication, or division. \n\nFirst, maybe start by looking at the largest numbers. 97 is close to 100, and 74 is 16 less than 100. If I...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 74, 97, and 37 to make 134. Each number can only be used once. So I have to figure out how to combine these with addition, subtraction, multiplication, or division. \n\nFirst, maybe start by looking at the largest numbers. 97 is close to 100, and 74...
15	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	113	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [90, 46, 69], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 90, 46, and 69 to make 113. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe subtract 90 from 90, but that would give me 0, but that's not 113. That's not helpful. Alternatively, subtrac...	["{'generation': \"Okay, let's see. I need to use the numbers 90, 46, and 69 to make 113. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe subtract 90 from 90, but that would give me 0, but that's not 113. That's not helpful. Alternatively, subtract...	0d8f7a43a36c5b90645562307eb6d29e9a6e899bcb3a84b83a849fe93b619f4d	22ca3a16c6b32b39cf01f17dec8741dc1b10bf582ce5d2128dbb02dc3ad42abf	6c658ee83fb7e812482494f3e416a876f63f418a0b8a1f5e76d47ee4177035cb	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 90, 46, and 69 to make 113. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe subtract 90 from 90, but that would give me 0, but that's not 113. That's not helpful. Alternatively, subtract 90 minus 46 equals...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 90, 46, and 69 to make 113. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe subtract 90 from 90, but that would give me 0, but that's not 113. That's not helpful. Alternatively, s...
16	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	181	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [49, 64, 5], create an equation that equals 181. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 49, 64, and 5 to make 181. Each number can only be used once. So first, I can subtract 49 from 64, which gives me 15. But that's 15, but I need 181, so that's not enough. Alternatively, if I subtract 64 minus 49, that gives me 15, but again that's the same ...	["{'generation': \"Okay, let's see. I need to use the numbers 49, 64, and 5 to make 181. Each number can only be used once. So first, I can subtract 49 from 64, which gives me 15. But that's 15, but I need 181, so that's not enough. Alternatively, if I subtract 64 minus 49, that gives me 15, but again that's the same a...	d2429ec76a98295744edb495060cf594fbc4b62233ffbf77419a67bd767ed009	01ccc6f6d5e54ecd2a7812aa40a168acd455650406da8683918e7650184fc5cf	580811fa95269f3ecd4f22d176e079d36093573680b6ef66fa341e687a15b5da	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 49, 64, and 5 to make 181. Each number can only be used once. So first, I can subtract 49 from 64, which gives me 15. But that's 15, but I need 181, so that's not enough. Alternatively, if I subtract 64 minus 49, that gives me 15, but again that's the same as before. But I o...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 49, 64, and 5 to make 181. Each number can only be used once. So first, I can subtract 49 from 64, which gives me 15. But that's 15, but I need 181, so that's not enough. Alternatively, if I subtract 64 minus 49, that gives me 15, but again that's t...
17	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	973	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [15, 71, 92], create an equation that equals 973. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 15, 71, and 92 to make 973. Each step can use two numbers. So first step would be 15 multiplied by 71, which is 1065. But that's over 973 by 92. Wait, but I already used 15 and 71. So that's not allowed. Alternatively, 15 multiplied by 92 is 1380, which is ...	["{'generation': \"Okay, let's see. I need to use the numbers 15, 71, and 92 to make 973. Each step can use two numbers. So first step would be 15 multiplied by 71, which is 1065. But that's over 973 by 92. Wait, but I already used 15 and 71. So that's not allowed. Alternatively, 15 multiplied by 92 is 1380, which is w...	115e936e89fc94d305b74b128796473b76a76cb3fad001900144ecba9657c372	250723a2841d9e766003a3f2c65fce577a4679d5baddef95c1cf782ef2c523c8	c24cf8d31cf7e596ba052b7ed00f169b1c2bafb941b01e277910a1c8263c3e89	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 15, 71, and 92 to make 973. Each step can use two numbers. So first step would be 15 multiplied by 71, which is 1065. But that's over 973 by 92. Wait, but I already used 15 and 71. So that's not allowed. Alternatively, 15 multiplied by 92 is 1380, which is way over. But agai...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 15, 71, and 92 to make 973. Each step can use two numbers. So first step would be 15 multiplied by 71, which is 1065. But that's over 973 by 92. Wait, but I already used 15 and 71. So that's not allowed. Alternatively, 15 multiplied by 92 is 1380, w...
18	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	139	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [46, 56, 37], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 46, 56, and 37 to make 139. Each step can use two numbers. How can I combine them with subtraction or addition? Let me try different combinations.\\n\\nFirst, subtract 46 from 56, which gives me 10. But I still have the 37 left. That's over by 17, which is ...	["{'generation': \"Okay, let's see. I need to use the numbers 46, 56, and 37 to make 139. Each step can use two numbers. How can I combine them with subtraction or addition? Let me try different combinations.\\n\\nFirst, subtract 46 from 56, which gives me 10. But I still have the 37 left. That's over by 17, which is n...	24a5c96663e1be3b61256044ba1d6785edeaec3d28ec68c0bafb3c5e06fdc9dd	dc98f619cf54027740b6d862b228566cd27518d3daf066a05b4671cbadad0582	8d27ba37c5d810106b55f3fd6cdb35842007e88754184bfc0e6035f9bcede633	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 46, 56, and 37 to make 139. Each step can use two numbers. How can I combine them with subtraction or addition? Let me try different combinations.\n\nFirst, subtract 46 from 56, which gives me 10. But I still have the 37 left. That's over by 17, which is not 139. So that's n...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 46, 56, and 37 to make 139. Each step can use two numbers. How can I combine them with subtraction or addition? Let me try different combinations.\n\nFirst, subtract 46 from 56, which gives me 10. But I still have the 37 left. That's over by 17, whi...
19	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	162	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [41, 45, 76], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': 'Okay, let\\'s see. I need to use the numbers 41, 45, and 76 to make 162. Each number can only be used once. So I can subtract 41 from 76, that would give me 35, but that\\'s not 162. Alternatively, subtract 45 from 76 gives 31, which is also not 162. That\\'s not working. If I subtract 76 minus 45, t...	["{'generation': 'Okay, let\\'s see. I need to use the numbers 41, 45, and 76 to make 162. Each number can only be used once. So I can subtract 41 from 76, that would give me 35, but that\\'s not 162. Alternatively, subtract 45 from 76 gives 31, which is also not 162. That\\'s not working. If I subtract 76 minus 45, th...	a2cfa82e1efc4d2401691a6c506e45a15c0cb3f3e5847022364846c05812c55e	c8dd1a85b58022a59fe8ab39f4f50a9beec87ef2c7ec6d0ef13fc01f5c88b079	79d6eaa2676189eb927f2e16a70091474078e2117c3fc607d35cdc6b591ef355	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 41, 45, and 76 to make 162. Each number can only be used once. So I can subtract 41 from 76, that would give me 35, but that's not 162. Alternatively, subtract 45 from 76 gives 31, which is also not 162. That's not working. If I subtract 76 minus 45, that would be 31, again ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 41, 45, and 76 to make 162. Each number can only be used once. So I can subtract 41 from 76, that would give me 35, but that's not 162. Alternatively, subtract 45 from 76 gives 31, which is also not 162. That's not working. If I subtract 76 minus 45...
20	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	151	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [2, 90, 63], create an equation that equals 151. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 2, 90, and 63 to make 151. Each number can only be used once. So first, subtract 63 from 90, that would give me 27, but that's not 151. Alternatively, subtract 90 minus 63 equals 27, but again that's not 151. Wait a second, 90 minus 2 equals 88, but that's ...	["{'generation': \"Okay, let's see. I need to use the numbers 2, 90, and 63 to make 151. Each number can only be used once. So first, subtract 63 from 90, that would give me 27, but that's not 151. Alternatively, subtract 90 minus 63 equals 27, but again that's not 151. Wait a second, 90 minus 2 equals 88, but that's a...	20d0f14ed15f629742200436d1f370b53d59944607cc63f59e9857cf4b3983c9	4af6994d7e3e417a0329f3ca1fca437210f36e2263d60f368f17acdd2d8b5260	8e612bd1f5d132a339575b8dafb7842c64614e56bcf3d5ab65a0bc4b34329407	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 2, 90, and 63 to make 151. Each number can only be used once. So first, subtract 63 from 90, that would give me 27, but that's not 151. Alternatively, subtract 90 minus 63 equals 27, but again that's not 151. Wait a second, 90 minus 2 equals 88, but that's also not 151. Alte...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 2, 90, and 63 to make 151. Each number can only be used once. So first, subtract 63 from 90, that would give me 27, but that's not 151. Alternatively, subtract 90 minus 63 equals 27, but again that's not 151. Wait a second, 90 minus 2 equals 88, but...
21	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	271	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [6, 46, 5], create an equation that equals 271. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work bef...	[["{'generation': \"Okay, let's see. I need to use the numbers 6, 46, and 5 to make 271. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 46. Since 46 is pretty big, maybe I can multiply it by something. But 46 multiplied by 6 would be 276, which is 5 over 271. Wait, that's clos...	["{'generation': \"Okay, let's see. I need to use the numbers 6, 46, and 5 to make 271. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 46. Since 46 is pretty big, maybe I can multiply it by something. But 46 multiplied by 6 would be 276, which is 5 over 271. Wait, that's close...	44de3a92c28dd14aa62679e3b2e623520ca3619984ce8482aeaab72edfb086da	c783aa3e94026a1f3e85f4b6fe154050b6d510e37e0b316e9f49e85bdfcda9a5	3635a91e3da857f7847f68185a116a5260d2593f3913f6b1b66cc2d75b0d6ec0	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 6, 46, and 5 to make 271. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 46. Since 46 is pretty big, maybe I can multiply it by something. But 46 multiplied by 6 would be 276, which is 5 over 271. Wait, that's close. So if I subtrac...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 6, 46, and 5 to make 271. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 46. Since 46 is pretty big, maybe I can multiply it by something. But 46 multiplied by 6 would be 276, which is 5 over 271. Wait, tha...
22	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	288	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [80, 89, 32], create an equation that equals 288. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 80, 89, and 32 to make 288. Each number can only be used once. So first, maybe subtract 89 minus 80 equals 9, but that would give me 9, but that's not 288. Alternatively, subtract 89 minus 32 equals 57, but that's also not 288. Alternatively, subtract 80 pl...	["{'generation': \"Okay, let's see. I need to use the numbers 80, 89, and 32 to make 288. Each number can only be used once. So first, maybe subtract 89 minus 80 equals 9, but that would give me 9, but that's not 288. Alternatively, subtract 89 minus 32 equals 57, but that's also not 288. Alternatively, subtract 80 plu...	9cf535a3cb0133d99dc8aa851bd81ac6b256c3c8c7675034da840fc68bb20584	2c29fd4569a14bf26b33a403f49d8abbee8b9899bb5bac784af9940c9486c487	23c657f2efda7731a3c1990b25f318fa2eb1332208f97ab9cc2a7eac70ab5a76	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 80, 89, and 32 to make 288. Each number can only be used once. So first, maybe subtract 89 minus 80 equals 9, but that would give me 9, but that's not 288. Alternatively, subtract 89 minus 32 equals 57, but that's also not 288. Alternatively, subtract 80 plus 89 equals 169, ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 80, 89, and 32 to make 288. Each number can only be used once. So first, maybe subtract 89 minus 80 equals 9, but that would give me 9, but that's not 288. Alternatively, subtract 89 minus 32 equals 57, but that's also not 288. Alternatively, subtra...
23	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	243	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [98, 81, 64], create an equation that equals 243. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 98, 81, and 64 to make 243. Each step can use two numbers. So first step would be adding 98 and 81, which is 179, but that's less than 243. That's not enough. The second step would be adding 179 and 64, but that would give me 243. Wait, but that would use a...	["{'generation': \"Okay, let's see. I need to use the numbers 98, 81, and 64 to make 243. Each step can use two numbers. So first step would be adding 98 and 81, which is 179, but that's less than 243. That's not enough. The second step would be adding 179 and 64, but that would give me 243. Wait, but that would use al...	91e5af25b9c6bfb626dd5b103c8908687489ec970af5bf19a35ac5c8f4386d63	90a41fdb9741ed593f2c161287116492262abe1b2326c5db6544b0f0603ce67f	72440a20f54075ac43f51a2cf0dbb2a14366b38a5c01b110ae174abc1cb44238	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 98, 81, and 64 to make 243. Each step can use two numbers. So first step would be adding 98 and 81, which is 179, but that's less than 243. That's not enough. The second step would be adding 179 and 64, but that would give me 243. Wait, but that would use all three numbers, ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 98, 81, and 64 to make 243. Each step can use two numbers. So first step would be adding 98 and 81, which is 179, but that's less than 243. That's not enough. The second step would be adding 179 and 64, but that would give me 243. Wait, but that wou...
24	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	169	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [100, 3, 66], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 100, 3, and 66 to get 169. Each number can only be used once. So first, subtract 100 from 100, but that would give me 0, but that's not 169. But I have a 3 and a 66. Alternatively, subtract 66 minus 100 would be negative, which is not helpful. But if I add ...	["{'generation': \"Okay, let's see. I need to use the numbers 100, 3, and 66 to get 169. Each number can only be used once. So first, subtract 100 from 100, but that would give me 0, but that's not 169. But I have a 3 and a 66. Alternatively, subtract 66 minus 100 would be negative, which is not helpful. But if I add 1...	a062597dbed5f0ef70370a9745b075238ee39fa118831c45063da715c934e460	707d4347f85d4903b3f968466272306e829f643da081858afd2ac034dd3bc6c9	f57e5cb1f4532c008183057ecc94283801fcb5afe2d1c190e3dfd38c4da08042	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 100, 3, and 66 to get 169. Each number can only be used once. So first, subtract 100 from 100, but that would give me 0, but that's not 169. But I have a 3 and a 66. Alternatively, subtract 66 minus 100 would be negative, which is not helpful. But if I add 100 and 66, that's...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 100, 3, and 66 to get 169. Each number can only be used once. So first, subtract 100 from 100, but that would give me 0, but that's not 169. But I have a 3 and a 66. Alternatively, subtract 66 minus 100 would be negative, which is not helpful. But i...
25	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	239	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [93, 65, 81], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 93, 65, and 81 to make 239. Each step can use two numbers. So first step would be subtract 93 from 93, but that would give me 0, but that's not 239. That's not allowed because I can't use the first number again. So that's not the way.\\n\\nAlternatively, su...	["{'generation': \"Okay, let's see. I need to use the numbers 93, 65, and 81 to make 239. Each step can use two numbers. So first step would be subtract 93 from 93, but that would give me 0, but that's not 239. That's not allowed because I can't use the first number again. So that's not the way.\\n\\nAlternatively, sub...	0b35b5d1ed3bbc9307b94806d033686b478292e8dcc562febf56b3cad3448170	2e604ea38651f5d8ec3198d92499190ce3e533dac8132bbe80ff4b15ce975f9f	79bf08685d3138f9b109c3546780f056bc954fd69377b84a2cf23622e464897b	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 93, 65, and 81 to make 239. Each step can use two numbers. So first step would be subtract 93 from 93, but that would give me 0, but that's not 239. That's not allowed because I can't use the first number again. So that's not the way.\n\nAlternatively, subtract 93 plus 65 eq...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 93, 65, and 81 to make 239. Each step can use two numbers. So first step would be subtract 93 from 93, but that would give me 0, but that's not 239. That's not allowed because I can't use the first number again. So that's not the way.\n\nAlternative...
26	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	114	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [56, 26, 84], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 56, 26, and 84 to make 114. Each step can use two numbers. So first step subtract 56 from 84, that gives me 28, but that's not 114. Then subtract 26, but that would give me 12, which is also not 114. Alternatively, subtract 56 minus 26 equals 30, but that's...	["{'generation': \"Okay, let's see. I need to use the numbers 56, 26, and 84 to make 114. Each step can use two numbers. So first step subtract 56 from 84, that gives me 28, but that's not 114. Then subtract 26, but that would give me 12, which is also not 114. Alternatively, subtract 56 minus 26 equals 30, but that's ...	dcca4d21f8994d669de7890898be6fd131d036d04921164afead282cf53b6207	d072848cbbdb00ad9670b1cce0ae5c0925aac277b7144559009109c858e61eb9	9f1f9dce319c4700ef28ec8c53bd3cc8e6abe64c68385479ab89215806a5bdd6	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 56, 26, and 84 to make 114. Each step can use two numbers. So first step subtract 56 from 84, that gives me 28, but that's not 114. Then subtract 26, but that would give me 12, which is also not 114. Alternatively, subtract 56 minus 26 equals 30, but that's over by 6, which ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 56, 26, and 84 to make 114. Each step can use two numbers. So first step subtract 56 from 84, that gives me 28, but that's not 114. Then subtract 26, but that would give me 12, which is also not 114. Alternatively, subtract 56 minus 26 equals 30, bu...
27	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	880	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [45, 85, 22], create an equation that equals 880. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 45, 85, and 22 to make 880. Each number can only be used once. Hmm. Let's start by thinking about the target number, 880. Maybe I can subtract two numbers and then add the third? Or maybe multiply some and subtract?\\n\\nFirst, let's list the numbers again:...	["{'generation': \"Okay, let's see. I need to use the numbers 45, 85, and 22 to make 880. Each number can only be used once. Hmm. Let's start by thinking about the target number, 880. Maybe I can subtract two numbers and then add the third? Or maybe multiply some and subtract?\\n\\nFirst, let's list the numbers again: ...	2185fbb38d29dad94f68043c360216b25c623e2dc2b34759424dacb72218ca30	dcda03da75c23b42476d4267621a79d0fdfc915faf1bae70a8ac68e3a2f4c9da	52efd2aad05d27e3eac3665b82f2bffa6da52351ce871c1c28e4ba69b40ea3e6	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 45, 85, and 22 to make 880. Each number can only be used once. Hmm. Let's start by thinking about the target number, 880. Maybe I can subtract two numbers and then add the third? Or maybe multiply some and subtract?\n\nFirst, let's list the numbers again: 45, 85, 22. Each ha...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 45, 85, and 22 to make 880. Each number can only be used once. Hmm. Let's start by thinking about the target number, 880. Maybe I can subtract two numbers and then add the third? Or maybe multiply some and subtract?\n\nFirst, let's list the numbers ...
28	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	988	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [36, 28, 20], create an equation that equals 988. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 36, 28, and 20 to make 988. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 36. Maybe I can multiply that by something. But 36 multiplied by 28 would be 988, but that would use all three numbers. Wait, but that wou...	["{'generation': \"Okay, let's see. I need to use the numbers 36, 28, and 20 to make 988. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 36. Maybe I can multiply that by something. But 36 multiplied by 28 would be 988, but that would use all three numbers. Wait, but that woul...	1b2492b0144bed986f8fb26c8304e4b59b930f03b59a103032a7abf66546defe	a19377ac5e356832829dc9a04308135a57748b18189098953a1f6364a5787deb	ba9c5622470525f1bbed5f36077631df5089db3ad0d79e9782078a681c0dac09	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 36, 28, and 20 to make 988. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 36. Maybe I can multiply that by something. But 36 multiplied by 28 would be 988, but that would use all three numbers. Wait, but that would be 36 * 28 = 98...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 36, 28, and 20 to make 988. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 36. Maybe I can multiply that by something. But 36 multiplied by 28 would be 988, but that would use all three numbers. Wait, but ...
29	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	657	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [52, 13, 19], create an equation that equals 657. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 52, 13, and 19 to make 657. Each step can use two numbers. So first step would be 52 multiplied by 13, which is 676. But that's over by 19, so that's not right. Alternatively, 52 multiplied by 19 is 988, which is way over. That's not helpful. What if I subt...	["{'generation': \"Okay, let's see. I need to use the numbers 52, 13, and 19 to make 657. Each step can use two numbers. So first step would be 52 multiplied by 13, which is 676. But that's over by 19, so that's not right. Alternatively, 52 multiplied by 19 is 988, which is way over. That's not helpful. What if I subtr...	d2cdc436a4bceb8d72a6dc1ce91ebb73228392ae6e4404f7d23bde0b963988f9	1e2b23cc73333296cb9c8df4030135943bcac137822f2706c09e762f4414f7b3	24be8ee76308afb924abfaf26212411f2b66e53b9ce2534e5c9f88354c88cc39	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 52, 13, and 19 to make 657. Each step can use two numbers. So first step would be 52 multiplied by 13, which is 676. But that's over by 19, so that's not right. Alternatively, 52 multiplied by 19 is 988, which is way over. That's not helpful. What if I subtract 13 from 52, t...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 52, 13, and 19 to make 657. Each step can use two numbers. So first step would be 52 multiplied by 13, which is 676. But that's over by 19, so that's not right. Alternatively, 52 multiplied by 19 is 988, which is way over. That's not helpful. What i...
30	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	286	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [79, 22, 66], create an equation that equals 286. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 79, 22, and 66 to make 286. Each step can use two numbers. So first step would be 79 plus 22 equals 101, but that's way below 286. That's not enough. The second step would be 101 plus 66 equals 167, still not 286. That's not over yet. So maybe subtract? 79 ...	["{'generation': \"Okay, let's see. I need to use the numbers 79, 22, and 66 to make 286. Each step can use two numbers. So first step would be 79 plus 22 equals 101, but that's way below 286. That's not enough. The second step would be 101 plus 66 equals 167, still not 286. That's not over yet. So maybe subtract? 79 p...	227e1714168a5ae1e1b0435eeaf1f4425432121f69ca790715026c6d6263a1a0	a6cfda554447ba77b7ef3709b19c19bdc02ee0f650acb147fb37416fc25e2af3	00328ce57bbc14b33bd6695bc8eb32cdf2fb5f3a7d89ec14a42825e15d39df60	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 79, 22, and 66 to make 286. Each step can use two numbers. So first step would be 79 plus 22 equals 101, but that's way below 286. That's not enough. The second step would be 101 plus 66 equals 167, still not 286. That's not over yet. So maybe subtract? 79 plus 66 is 145, wh...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 79, 22, and 66 to make 286. Each step can use two numbers. So first step would be 79 plus 22 equals 101, but that's way below 286. That's not enough. The second step would be 101 plus 66 equals 167, still not 286. That's not over yet. So maybe subtr...
31	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	141	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [98, 3, 46], create an equation that equals 141. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 98, 3, and 46 to make 141. Each number can only be used once. So first, subtract 98 from 98, but that would give me 0, but that's not 141. That's not allowed because I need to use the 3 and 46. Alternatively, subtract 98 minus 46 equals 52, but that's over ...	["{'generation': \"Okay, let's see. I need to use the numbers 98, 3, and 46 to make 141. Each number can only be used once. So first, subtract 98 from 98, but that would give me 0, but that's not 141. That's not allowed because I need to use the 3 and 46. Alternatively, subtract 98 minus 46 equals 52, but that's over b...	4909a0940c9ca8b5e184112ef184b5fe1bc28098131cb9a08406865a1181352c	f3eafa4f1e6c2060c97a6bf494b182c3cf91516efc1e572af478d35f869292ba	2c7d5490e6050836f8f2f0d496b1c8d6a38d4ffac2b898e6e77751bdcd20ebf5	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 98, 3, and 46 to make 141. Each number can only be used once. So first, subtract 98 from 98, but that would give me 0, but that's not 141. That's not allowed because I need to use the 3 and 46. Alternatively, subtract 98 minus 46 equals 52, but that's over by 11. That's also...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 98, 3, and 46 to make 141. Each number can only be used once. So first, subtract 98 from 98, but that would give me 0, but that's not 141. That's not allowed because I need to use the 3 and 46. Alternatively, subtract 98 minus 46 equals 52, but that...
32	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	100	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [15, 66, 19], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 15, 66, and 19 to make 100. Each step can use two numbers. So first step would be 66 minus 19 equals 47, but that's not 100. Then adding 15 would give 62, which is still not 100. That's not working. Alternatively, 66 minus 15 is 51, but that's still 11 over...	["{'generation': \"Okay, let's see. I need to use the numbers 15, 66, and 19 to make 100. Each step can use two numbers. So first step would be 66 minus 19 equals 47, but that's not 100. Then adding 15 would give 62, which is still not 100. That's not working. Alternatively, 66 minus 15 is 51, but that's still 11 over....	95c2cbd298375da0e29203bf5d5042b69e2a10c7d6cc27feea782933ca853416	3316eae6c5131adc79f358599102a49265de488e23816fbe18f85018bb2edfff	ad57366865126e55649ecb23ae1d48887544976efea46a48eb5d85a6eeb4d306	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 15, 66, and 19 to make 100. Each step can use two numbers. So first step would be 66 minus 19 equals 47, but that's not 100. Then adding 15 would give 62, which is still not 100. That's not working. Alternatively, 66 minus 15 is 51, but that's still 11 over. Then subtracting...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 15, 66, and 19 to make 100. Each step can use two numbers. So first step would be 66 minus 19 equals 47, but that's not 100. Then adding 15 would give 62, which is still not 100. That's not working. Alternatively, 66 minus 15 is 51, but that's still...
33	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	104	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [26, 72, 58], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 26, 72, and 58 to make 104. Each step can use two numbers. So first step would be 72 minus 26 equals 46, but that's over by 10, but that's not 104. Alternatively, 72 minus 58 is negative, which is not helpful. What if I subtract 72 minus 26 equals 46, but a...	["{'generation': \"Okay, let's see. I need to use the numbers 26, 72, and 58 to make 104. Each step can use two numbers. So first step would be 72 minus 26 equals 46, but that's over by 10, but that's not 104. Alternatively, 72 minus 58 is negative, which is not helpful. What if I subtract 72 minus 26 equals 46, but ag...	89b8f5a9417ec0b2cea098f46fed198bdfbd9f437a35fe1d7e539a58bc406650	fb8ab028183494e54dbe0bb91089f2532b4dcaa3608fb9ae067f8d73ebabf4ed	5ef6fdf32513aa7cd11f72beccf132b9224d33f271471fff402742887a171edf	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 26, 72, and 58 to make 104. Each step can use two numbers. So first step would be 72 minus 26 equals 46, but that's over by 10, but that's not 104. Alternatively, 72 minus 58 is negative, which is not helpful. What if I subtract 72 minus 26 equals 46, but again that's over b...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 26, 72, and 58 to make 104. Each step can use two numbers. So first step would be 72 minus 26 equals 46, but that's over by 10, but that's not 104. Alternatively, 72 minus 58 is negative, which is not helpful. What if I subtract 72 minus 26 equals 4...
34	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	813	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [41, 20, 7], create an equation that equals 813. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 41, 20, and 7 to make 813. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 41. Since 813 is a pretty big number, maybe I should multiply 41 by something. Let's see, 41 multiplied by 20 would give me 820, which is c...	["{'generation': \"Okay, let's see. I need to use the numbers 41, 20, and 7 to make 813. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 41. Since 813 is a pretty big number, maybe I should multiply 41 by something. Let's see, 41 multiplied by 20 would give me 820, which is cl...	fc738f21e0d6c62874c6a4b226b297c5119c098ea755b82a5d299bb074ff5ceb	d16375d1dcb2c19418e0ea419cbc6806a604f6d1f67adf7adfa6642cb451b1c4	477d8dffaf92d265c56dca496167d71bfc1c34f443bc9a6677009963e6e99706	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 41, 20, and 7 to make 813. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 41. Since 813 is a pretty big number, maybe I should multiply 41 by something. Let's see, 41 multiplied by 20 would give me 820, which is close to 813. But t...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 41, 20, and 7 to make 813. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 41. Since 813 is a pretty big number, maybe I should multiply 41 by something. Let's see, 41 multiplied by 20 would give me 820, wh...
35	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	480	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [68, 4, 7], create an equation that equals 480. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work bef...	[["{'generation': \"Okay, let's see. I need to use the numbers 68, 4, and 7 to make 480. Each step can use two numbers. So first step: 68 multiplied by 4 equals 272, but that's less than 480. That's not enough. Then I can add 7, but that would give me 279, which is still not 480. Alternatively, 68 plus 4 is 72, but tha...	["{'generation': \"Okay, let's see. I need to use the numbers 68, 4, and 7 to make 480. Each step can use two numbers. So first step: 68 multiplied by 4 equals 272, but that's less than 480. That's not enough. Then I can add 7, but that would give me 279, which is still not 480. Alternatively, 68 plus 4 is 72, but that...	a823db2e9b6c26b54597fdd133fbb9d302697e0aaba5507198b01268827e4dc9	888f282f810fa613c28b407b1ca8c64261dbebd9d4842c46a5dd23e56782de39	ddfe0e8d462af661f81db36589c39882dc0f2330785b5d80cd34f2f520ad618f	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 68, 4, and 7 to make 480. Each step can use two numbers. So first step: 68 multiplied by 4 equals 272, but that's less than 480. That's not enough. Then I can add 7, but that would give me 279, which is still not 480. Alternatively, 68 plus 4 is 72, but that's over. That's n...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 68, 4, and 7 to make 480. Each step can use two numbers. So first step: 68 multiplied by 4 equals 272, but that's less than 480. That's not enough. Then I can add 7, but that would give me 279, which is still not 480. Alternatively, 68 plus 4 is 72,...
36	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	172	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [3, 80, 68], create an equation that equals 172. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 3, 80, and 68 to make 172. Each number can only be used once. So first, if I subtract 68 from 80, that gives me 12, but that's not 172. But I only have the 3 left, which is 3. So that's not enough. Alternatively, if I subtract 80 minus 68, that's 12, but ag...	["{'generation': \"Okay, let's see. I need to use the numbers 3, 80, and 68 to make 172. Each number can only be used once. So first, if I subtract 68 from 80, that gives me 12, but that's not 172. But I only have the 3 left, which is 3. So that's not enough. Alternatively, if I subtract 80 minus 68, that's 12, but aga...	8750b140da3836e68d0b003354b0187afa198e288d4beda91117a9aa5c888690	1cdbc2b63f2eda41b2c0ec07097f54bd6694a63aaf2a132fb78225d51168960b	68519a9eca55c68c72658a2a1716aac3788c289859d46d6f5c3f14760fa37c9e	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 3, 80, and 68 to make 172. Each number can only be used once. So first, if I subtract 68 from 80, that gives me 12, but that's not 172. But I only have the 3 left, which is 3. So that's not enough. Alternatively, if I subtract 80 minus 68, that's 12, but again that's not 172...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 3, 80, and 68 to make 172. Each number can only be used once. So first, if I subtract 68 from 80, that gives me 12, but that's not 172. But I only have the 3 left, which is 3. So that's not enough. Alternatively, if I subtract 80 minus 68, that's 12...
37	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	119	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [3, 17, 4], create an equation that equals 119. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work bef...	[["{'generation': \"Okay, let's see. I need to use the numbers 3, 17, and 4 to make 119. Each number can only be used once. So first, I can multiply 17 by 3, which gives me 51, but that's not 119. Then I have the 4 left, but that would subtract 4, but I need to get to 119. Wait, that's not working. Alternatively, 17 pl...	["{'generation': \"Okay, let's see. I need to use the numbers 3, 17, and 4 to make 119. Each number can only be used once. So first, I can multiply 17 by 3, which gives me 51, but that's not 119. Then I have the 4 left, but that would subtract 4, but I need to get to 119. Wait, that's not working. Alternatively, 17 plu...	d4dce364558ae036eef239d7ba4009e16c2e77f1effed53dc92d25e1b88ed528	0d5097268d4319a5916f1924a79d0792bbd165617a2ca3cba4ad23fec45217eb	3038bfb575bee6a0e61945eff8784835bb2c720634e42734678c083994b7f018	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 3, 17, and 4 to make 119. Each number can only be used once. So first, I can multiply 17 by 3, which gives me 51, but that's not 119. Then I have the 4 left, but that would subtract 4, but I need to get to 119. Wait, that's not working. Alternatively, 17 plus 3 is 20, but th...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 3, 17, and 4 to make 119. Each number can only be used once. So first, I can multiply 17 by 3, which gives me 51, but that's not 119. Then I have the 4 left, but that would subtract 4, but I need to get to 119. Wait, that's not working. Alternativel...
38	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	753	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [55, 13, 38], create an equation that equals 753. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': 'Okay, let\\'s see. I need to use the numbers 55, 13, and 38 to make 753. Each step can use two numbers. So first step would be adding 55 and 13, which is 68, but that\\'s still 7 short of 753. That\\'s not enough. Alternatively, if I subtract 55 minus 13, that would be 42, which is 11 short. Still no...	["{'generation': 'Okay, let\\'s see. I need to use the numbers 55, 13, and 38 to make 753. Each step can use two numbers. So first step would be adding 55 and 13, which is 68, but that\\'s still 7 short of 753. That\\'s not enough. Alternatively, if I subtract 55 minus 13, that would be 42, which is 11 short. Still not...	e7bbf9ade820556ae6e7e9075d82c738debff6516c6d8a58545d22dc66e5133c	dbab4bbd34e4ce0d6cd967783e15d15d4481a5672a1c4dd362253d88075d10c5	a8cee66e4788af8b855979155e486c988d84a42aba71e43a0fc26997ca12e737	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 55, 13, and 38 to make 753. Each step can use two numbers. So first step would be adding 55 and 13, which is 68, but that's still 7 short of 753. That's not enough. Alternatively, if I subtract 55 minus 13, that would be 42, which is 11 short. Still not 753. \n\nAnother appr...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 55, 13, and 38 to make 753. Each step can use two numbers. So first step would be adding 55 and 13, which is 68, but that's still 7 short of 753. That's not enough. Alternatively, if I subtract 55 minus 13, that would be 42, which is 11 short. Still...
39	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	420	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [60, 1, 8], create an equation that equals 420. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work bef...	[["{'generation': \"Okay, let's see. I need to use the numbers 60, 1, and 8 to make 420. Each step can use two numbers. So first step: multiply 60 by 8, which gives 480. But that's 60 plus 8, but I can't use 8 again. Wait, no, each number can only be used once. So that's not possible. Alternatively, 60 multiplied by 1 ...	["{'generation': \"Okay, let's see. I need to use the numbers 60, 1, and 8 to make 420. Each step can use two numbers. So first step: multiply 60 by 8, which gives 480. But that's 60 plus 8, but I can't use 8 again. Wait, no, each number can only be used once. So that's not possible. Alternatively, 60 multiplied by 1 i...	8a8ccf9282a1ea781c8ff238a74a6c2f5987f582bc2ef32aa4a6705c6ad545f2	e7d1029e7e10e6b9b553cee70a8dd1684ae2c57ad736f58a2bcc5f46f0dc1b45	db55da3fc3098e9c42311c6013304ff36b19ef73d12ea932054b5ad51df4f49d	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 60, 1, and 8 to make 420. Each step can use two numbers. So first step: multiply 60 by 8, which gives 480. But that's 60 plus 8, but I can't use 8 again. Wait, no, each number can only be used once. So that's not possible. Alternatively, 60 multiplied by 1 is 60, but that's ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 60, 1, and 8 to make 420. Each step can use two numbers. So first step: multiply 60 by 8, which gives 480. But that's 60 plus 8, but I can't use 8 again. Wait, no, each number can only be used once. So that's not possible. Alternatively, 60 multipli...
40	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	182	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [51, 53, 78], create an equation that equals 182. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 51, 53, and 78 to make 182. Each number can only be used once. So, if I subtract 51 from 78, that would give me 27, but that's not 182. Alternatively, subtract 53 from 78 gives 25, which is also not 182. Subtracting 78 minus 51 equals 27, but again that's n...	["{'generation': \"Okay, let's see. I need to use the numbers 51, 53, and 78 to make 182. Each number can only be used once. So, if I subtract 51 from 78, that would give me 27, but that's not 182. Alternatively, subtract 53 from 78 gives 25, which is also not 182. Subtracting 78 minus 51 equals 27, but again that's no...	b5081def851ede3ccf32de76d53d9dd662b04fd4c5f353567062fdc22595e8ec	47cd1eb0653a785145db53643348ccbb166d350a00cedf2e7552c906666e9812	bfa7634640c53da7cb5e9c39031128c4e583399f936896f27f999f1d58d7b37e	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 51, 53, and 78 to make 182. Each number can only be used once. So, if I subtract 51 from 78, that would give me 27, but that's not 182. Alternatively, subtract 53 from 78 gives 25, which is also not 182. Subtracting 78 minus 51 equals 27, but again that's not 182. Alternativ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 51, 53, and 78 to make 182. Each number can only be used once. So, if I subtract 51 from 78, that would give me 27, but that's not 182. Alternatively, subtract 53 from 78 gives 25, which is also not 182. Subtracting 78 minus 51 equals 27, but again ...
41	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	657	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [14, 53, 85], create an equation that equals 657. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 14, 53, and 85 to make 657. Each step can use two numbers. So first step would be 14 multiplied by 53, which is 742. But that's over 657, so that's not the answer. Alternatively, 14 multiplied by 53 is 742, but that's 85 over. But I can subtract 85, but tha...	["{'generation': \"Okay, let's see. I need to use the numbers 14, 53, and 85 to make 657. Each step can use two numbers. So first step would be 14 multiplied by 53, which is 742. But that's over 657, so that's not the answer. Alternatively, 14 multiplied by 53 is 742, but that's 85 over. But I can subtract 85, but that...	ebeef5a93337f48ab03afb9afb3999dc613b085be8c77caaa4d05281442bd069	cafbace8ab4fd7384bbbd52b4b3427a4ddff05f93192a518f15b418caba6960b	24be8ee76308afb924abfaf26212411f2b66e53b9ce2534e5c9f88354c88cc39	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 14, 53, and 85 to make 657. Each step can use two numbers. So first step would be 14 multiplied by 53, which is 742. But that's over 657, so that's not the answer. Alternatively, 14 multiplied by 53 is 742, but that's 85 over. But I can subtract 85, but that would give me 65...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 14, 53, and 85 to make 657. Each step can use two numbers. So first step would be 14 multiplied by 53, which is 742. But that's over 657, so that's not the answer. Alternatively, 14 multiplied by 53 is 742, but that's 85 over. But I can subtract 85,...
42	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	448	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [24, 88, 4], create an equation that equals 448. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 24, 88, and 4 to make 448. Each step can use two numbers. So first step would be 88 divided by 4 equals 22, but that's not 448. That's half of 448. So I need to multiply by 24, but I don't have another number. Wait, but the numbers are 24, 88, and 4. So if ...	["{'generation': \"Okay, let's see. I need to use the numbers 24, 88, and 4 to make 448. Each step can use two numbers. So first step would be 88 divided by 4 equals 22, but that's not 448. That's half of 448. So I need to multiply by 24, but I don't have another number. Wait, but the numbers are 24, 88, and 4. So if I...	12a7de28c977c1dc985d87f05c017539fb1c293a1afe85975494f4552c72a771	abcb40a5328b6c25a4b083cecbc6645b942226b8644cab74827e0d4b89356190	a4ecdd704d258aa841bb3f9a1e3b0cafc59bd88810e542f8e7a0519809d78fe7	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 24, 88, and 4 to make 448. Each step can use two numbers. So first step would be 88 divided by 4 equals 22, but that's not 448. That's half of 448. So I need to multiply by 24, but I don't have another number. Wait, but the numbers are 24, 88, and 4. So if I do 88 minus 24 e...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 24, 88, and 4 to make 448. Each step can use two numbers. So first step would be 88 divided by 4 equals 22, but that's not 448. That's half of 448. So I need to multiply by 24, but I don't have another number. Wait, but the numbers are 24, 88, and 4...
43	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	697	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [8, 15, 47], create an equation that equals 697. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 8, 15, and 47 to make 697. Each step can use two numbers. So first step would be 8 multiplied by 15, which is 120. But that's way too low. 120 plus 47 is 167, which is still way below 697. That's not working. So maybe that's not the right approach. Alternat...	["{'generation': \"Okay, let's see. I need to use the numbers 8, 15, and 47 to make 697. Each step can use two numbers. So first step would be 8 multiplied by 15, which is 120. But that's way too low. 120 plus 47 is 167, which is still way below 697. That's not working. So maybe that's not the right approach. Alternati...	5f00f134afc7930c7d338a8e06c16130af7c1b2cfb07b95ef282c069f1a0ed64	e156ea1722c0e87c1217e1bcfd2cec6ab56647b44c43b09f3b29f5a25b928c98	d6723fa996ced47773f2dea29cce9b11f951e6dafe321a84ac7d32791c3b4660	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 8, 15, and 47 to make 697. Each step can use two numbers. So first step would be 8 multiplied by 15, which is 120. But that's way too low. 120 plus 47 is 167, which is still way below 697. That's not working. So maybe that's not the right approach. Alternatively, 8 multiplie...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 8, 15, and 47 to make 697. Each step can use two numbers. So first step would be 8 multiplied by 15, which is 120. But that's way too low. 120 plus 47 is 167, which is still way below 697. That's not working. So maybe that's not the right approach. ...
44	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	319	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [46, 73, 5], create an equation that equals 319. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 46, 73, and 5 to make 319. Each step can use two numbers. So first step would be 46 plus 73 equals 119, but that's way too low. That's not going to get me to 319. So that's not the answer. \\n\\nAlternatively, if I subtract 73 minus 46, that gives me 27, bu...	["{'generation': \"Okay, let's see. I need to use the numbers 46, 73, and 5 to make 319. Each step can use two numbers. So first step would be 46 plus 73 equals 119, but that's way too low. That's not going to get me to 319. So that's not the answer. \\n\\nAlternatively, if I subtract 73 minus 46, that gives me 27, but...	d82023fed054f42e3b0cd95461aa476beeb056181423aa32aba083d1dfc87ce4	9205a67f21424549c7fa0024646d62ed75fb8d404ab7ec59d6862201bd4b1921	156091ee0884f36de9836d58b6f05f357ec6ef0620c571577ac61f7beac35f8e	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 46, 73, and 5 to make 319. Each step can use two numbers. So first step would be 46 plus 73 equals 119, but that's way too low. That's not going to get me to 319. So that's not the answer. \n\nAlternatively, if I subtract 73 minus 46, that gives me 27, but that's still way b...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 46, 73, and 5 to make 319. Each step can use two numbers. So first step would be 46 plus 73 equals 119, but that's way too low. That's not going to get me to 319. So that's not the answer. \n\nAlternatively, if I subtract 73 minus 46, that gives me ...
45	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	672	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [71, 24, 43], create an equation that equals 672. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 71, 24, and 43 to make 672. Each step can use two numbers. So first, maybe multiply 71 and 24? Let's try that. 71 multiplied by 24 is... 7124. Let me calculate that. 7024 is 1680, plus 1*24 is 24, so total 1704. That's way over 672. That's too big. So tha...	["{'generation': \"Okay, let's see. I need to use the numbers 71, 24, and 43 to make 672. Each step can use two numbers. So first, maybe multiply 71 and 24? Let's try that. 71 multiplied by 24 is... 7124. Let me calculate that. 7024 is 1680, plus 1*24 is 24, so total 1704. That's way over 672. That's too big. So that...	66803769a0c7874b40c9c231eb6016f6207c121b8c413ca61691ecea508aa1be	eb1cf75a0987dbeb863b136572c954e83aac8df887c4c193f878c95ee4652dd1	12f26af0dcdfae8fe4331d6a4c369edd549220cdeb119b3b1831b2a2cf77f281	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 71, 24, and 43 to make 672. Each step can use two numbers. So first, maybe multiply 71 and 24? Let's try that. 71 multiplied by 24 is... 7124. Let me calculate that. 7024 is 1680, plus 1*24 is 24, so total 1704. That's way over 672. That's too big. So that's not the answer...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 71, 24, and 43 to make 672. Each step can use two numbers. So first, maybe multiply 71 and 24? Let's try that. 71 multiplied by 24 is... 7124. Let me calculate that. 7024 is 1680, plus 1*24 is 24, so total 1704. That's way over 672. That's too big...
46	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	455	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [28, 7, 69], create an equation that equals 455. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 28, 7, and 69 to make 455. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 69. Maybe multiplying that by something could get close to 455. 69 multiplied by 7 is 483, which is over 455. That's 28 over. So if I subtra...	["{'generation': \"Okay, let's see. I need to use the numbers 28, 7, and 69 to make 455. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 69. Maybe multiplying that by something could get close to 455. 69 multiplied by 7 is 483, which is over 455. That's 28 over. So if I subtrac...	61eb7545016346dccd8eb42170ad65ef96dedbc19d517b33fc58f9e7061823a9	49f6c75b3a0ebd0ee5be0b06ff48ebf3b1527507ab6cc68fe1bdebab22221e27	f626051bc94422f26f4b774a2bca105e122df36a2f32f51bd7ee470daa620b0b	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 28, 7, and 69 to make 455. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 69. Maybe multiplying that by something could get close to 455. 69 multiplied by 7 is 483, which is over 455. That's 28 over. So if I subtract 28 from that, I...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 28, 7, and 69 to make 455. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 69. Maybe multiplying that by something could get close to 455. 69 multiplied by 7 is 483, which is over 455. That's 28 over. So if ...
47	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	778	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [58, 22, 38], create an equation that equals 778. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 58, 22, and 38 to make 778. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 58. Maybe if I multiply that by something? But 58 multiplied by 13 would be 754, which is close to 778 but not quite. But I don't have a 1...	["{'generation': \"Okay, let's see. I need to use the numbers 58, 22, and 38 to make 778. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 58. Maybe if I multiply that by something? But 58 multiplied by 13 would be 754, which is close to 778 but not quite. But I don't have a 13...	bf29107434b181023eb6b226fb6bc83dbf78c010882384d63851515b5e658752	784e80b76d18cf625dab43f8c27c665c8a3a7e251ce842b6c16ce52da02b227d	93411f44e228b5004bdec50f32b6c646819eebd09ba3fa26511502b23781a617	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 58, 22, and 38 to make 778. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 58. Maybe if I multiply that by something? But 58 multiplied by 13 would be 754, which is close to 778 but not quite. But I don't have a 13. Alternatively, ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 58, 22, and 38 to make 778. Each number can only be used once. Hmm. Let me start by thinking about the largest number, 58. Maybe if I multiply that by something? But 58 multiplied by 13 would be 754, which is close to 778 but not quite. But I don't ...
48	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	222	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [52, 14, 4], create an equation that equals 222. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 52, 14, and 4 to make 222. Each number can only be used once. So first, maybe subtract 52 minus 14 equals 38, but that's not 222. That's not using the 4. Alternatively, 52 plus 14 is 66, but that's still less than 222. Adding 4 would give 70, which is way b...	["{'generation': \"Okay, let's see. I need to use the numbers 52, 14, and 4 to make 222. Each number can only be used once. So first, maybe subtract 52 minus 14 equals 38, but that's not 222. That's not using the 4. Alternatively, 52 plus 14 is 66, but that's still less than 222. Adding 4 would give 70, which is way be...	e2363f6e70d4c1876597f6b569561180729daaf244036d8449d425957aa713b5	5a44bb38f7c6d27d5c87741fbdb9092045b9869aa1aeb721267e4170ae594586	9b871512327c09ce91dd649b3f96a63b7408ef267c8cc5710114e629730cb61f	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 52, 14, and 4 to make 222. Each number can only be used once. So first, maybe subtract 52 minus 14 equals 38, but that's not 222. That's not using the 4. Alternatively, 52 plus 14 is 66, but that's still less than 222. Adding 4 would give 70, which is way below. \n\nAlternat...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 52, 14, and 4 to make 222. Each number can only be used once. So first, maybe subtract 52 minus 14 equals 38, but that's not 222. That's not using the 4. Alternatively, 52 plus 14 is 66, but that's still less than 222. Adding 4 would give 70, which ...
49	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	900	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [13, 70, 10], create an equation that equals 900. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 13, 70, and 10 to make 900. Each step can use two numbers. So first step: 13 multiplied by 70 gives 910, but that's over by 10, so that's not 900. Alternatively, 70 multiplied by 10 is 700, but that's 13 less, so that's also not 900. Wait, 70 times 13 is 91...	["{'generation': \"Okay, let's see. I need to use the numbers 13, 70, and 10 to make 900. Each step can use two numbers. So first step: 13 multiplied by 70 gives 910, but that's over by 10, so that's not 900. Alternatively, 70 multiplied by 10 is 700, but that's 13 less, so that's also not 900. Wait, 70 times 13 is 910...	7e21c39ad6decff76cecf8391a998261c50dabec92651f10e07792a41bb05f3c	9587eb7dac2482582821efca9ba1131e51a74b69d10630b8cd80622ed130c04a	bdc5d8a48c23897906b09a9a3680bd2e9c8b3121edbda36f949800f0959c8d55	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 13, 70, and 10 to make 900. Each step can use two numbers. So first step: 13 multiplied by 70 gives 910, but that's over by 10, so that's not 900. Alternatively, 70 multiplied by 10 is 700, but that's 13 less, so that's also not 900. Wait, 70 times 13 is 910, which is 10 ove...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 13, 70, and 10 to make 900. Each step can use two numbers. So first step: 13 multiplied by 70 gives 910, but that's over by 10, so that's not 900. Alternatively, 70 multiplied by 10 is 700, but that's 13 less, so that's also not 900. Wait, 70 times ...
50	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	616	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [23, 34, 56], create an equation that equals 616. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 23, 34, and 56 to make 616. Each step can use two numbers. So first, maybe I should try multiplying two numbers and see if that gets close. Let's try 56 multiplied by 34. 56 times 34 is... 5630 is 1680, plus 564 is 224, so total 1904. That's way too big. ...	["{'generation': \"Okay, let's see. I need to use the numbers 23, 34, and 56 to make 616. Each step can use two numbers. So first, maybe I should try multiplying two numbers and see if that gets close. Let's try 56 multiplied by 34. 56 times 34 is... 5630 is 1680, plus 564 is 224, so total 1904. That's way too big. T...	95ebf18b1c44ae01b8f588e7ecb428666bb65ecf98322b97f24c376cf06fe555	0473de2dae4b5e3aebd325c37eecae21635047201664f323cb67d3dd8f38d41e	683d098205b11550f2d71016c82c4377a96c9f808e132f83f15ba9bd058c7b20	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 23, 34, and 56 to make 616. Each step can use two numbers. So first, maybe I should try multiplying two numbers and see if that gets close. Let's try 56 multiplied by 34. 56 times 34 is... 5630 is 1680, plus 564 is 224, so total 1904. That's way too big. That's over 616. S...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 23, 34, and 56 to make 616. Each step can use two numbers. So first, maybe I should try multiplying two numbers and see if that gets close. Let's try 56 multiplied by 34. 56 times 34 is... 5630 is 1680, plus 564 is 224, so total 1904. That's way t...
51	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	239	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [91, 2, 74], create an equation that equals 239. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 91, 2, and 74 to make 239. Each step can use two numbers. So first step would be 91 plus 2 equals 93, but that's over by 14, which is not 239. That's not working. Alternatively, 91 minus 2 is 89, but that's under by 10, which is also not 239. \\n\\nAnother ...	["{'generation': \"Okay, let's see. I need to use the numbers 91, 2, and 74 to make 239. Each step can use two numbers. So first step would be 91 plus 2 equals 93, but that's over by 14, which is not 239. That's not working. Alternatively, 91 minus 2 is 89, but that's under by 10, which is also not 239. \\n\\nAnother a...	7b5455f769debfe28a52428759af94d73d0dfc1ee66776db8c64f6b5918e1f2d	bd5277f0fc98aa799aa34abb3faede09c5f9383d1ea2c5692629791fa2892d3e	79bf08685d3138f9b109c3546780f056bc954fd69377b84a2cf23622e464897b	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 91, 2, and 74 to make 239. Each step can use two numbers. So first step would be 91 plus 2 equals 93, but that's over by 14, which is not 239. That's not working. Alternatively, 91 minus 2 is 89, but that's under by 10, which is also not 239. \n\nAnother approach: 91 plus 74...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 91, 2, and 74 to make 239. Each step can use two numbers. So first step would be 91 plus 2 equals 93, but that's over by 14, which is not 239. That's not working. Alternatively, 91 minus 2 is 89, but that's under by 10, which is also not 239. \n\nAn...
52	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	153	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [65, 14, 74], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 65, 14, and 74 to make 153. Each step can use two numbers. So, first step would be adding 65 and 14 equals 79, but that's over by 26, which is not 153. That's not working. Alternatively, subtract 65 minus 14 equals 51, but that's 18 short, which is also not...	["{'generation': \"Okay, let's see. I need to use the numbers 65, 14, and 74 to make 153. Each step can use two numbers. So, first step would be adding 65 and 14 equals 79, but that's over by 26, which is not 153. That's not working. Alternatively, subtract 65 minus 14 equals 51, but that's 18 short, which is also not ...	96057087c90f9cb549c4be6e1cdaa35a8673d43051dcded8d2abd17952bfa3b9	0877528481e485503df0ec977a3470e6830302da2a2eacfb2359761e327bfe45	620c9c332101a5bae955c66ae72268fbcd3972766179522c8deede6a249addb7	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 65, 14, and 74 to make 153. Each step can use two numbers. So, first step would be adding 65 and 14 equals 79, but that's over by 26, which is not 153. That's not working. Alternatively, subtract 65 minus 14 equals 51, but that's 18 short, which is also not 153. \n\nAnother ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 65, 14, and 74 to make 153. Each step can use two numbers. So, first step would be adding 65 and 14 equals 79, but that's over by 26, which is not 153. That's not working. Alternatively, subtract 65 minus 14 equals 51, but that's 18 short, which is ...
53	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	868	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [53, 14, 9], create an equation that equals 868. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 53, 14, and 9 to make 868. Each step can use two numbers. So first step: 53 multiplied by 14 is 742, but that's less than 868, so I need to add 9, but that would give me 751, which is still not 868. That's not enough. Alternatively, 53 multiplied by (14 plu...	["{'generation': \"Okay, let's see. I need to use the numbers 53, 14, and 9 to make 868. Each step can use two numbers. So first step: 53 multiplied by 14 is 742, but that's less than 868, so I need to add 9, but that would give me 751, which is still not 868. That's not enough. Alternatively, 53 multiplied by (14 plus...	f6badb155720d75c9555b4ebaea063f60e824a939a848bcceab45db66eb92bfe	855f98421766f36486b24dee8b875f3a67134c34469265f28217e2e4155e810e	d2e655334ee2e4841be477484381df1617a8b891adc04cbc536cc1bed229d713	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 53, 14, and 9 to make 868. Each step can use two numbers. So first step: 53 multiplied by 14 is 742, but that's less than 868, so I need to add 9, but that would give me 751, which is still not 868. That's not enough. Alternatively, 53 multiplied by (14 plus 9) would be 53 m...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 53, 14, and 9 to make 868. Each step can use two numbers. So first step: 53 multiplied by 14 is 742, but that's less than 868, so I need to add 9, but that would give me 751, which is still not 868. That's not enough. Alternatively, 53 multiplied by...
54	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	256	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [4, 100, 89], create an equation that equals 256. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 4, 100, and 89 to make 256. Each number can only be used once. So first, maybe subtract 100 from 100, but that would give me 0, but that's not 256. Alternatively, subtract 89 plus 4 equals 93, but that's also not 256. Wait, but I can use division. So 100 di...	["{'generation': \"Okay, let's see. I need to use the numbers 4, 100, and 89 to make 256. Each number can only be used once. So first, maybe subtract 100 from 100, but that would give me 0, but that's not 256. Alternatively, subtract 89 plus 4 equals 93, but that's also not 256. Wait, but I can use division. So 100 div...	f0ea30c20b77a9a0deca1bfbc3c1a3573250c1054a357cb1d531bd430d3485e0	58774cdf8b7c1b18359bbc4bb680dd2003fd5154898307e8cbcfa6adfcd71840	51e8ea280b44e16934d4d611901f3d3afc41789840acdff81942c2f65009cd52	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 4, 100, and 89 to make 256. Each number can only be used once. So first, maybe subtract 100 from 100, but that would give me 0, but that's not 256. Alternatively, subtract 89 plus 4 equals 93, but that's also not 256. Wait, but I can use division. So 100 divided by 4 is 25, ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 4, 100, and 89 to make 256. Each number can only be used once. So first, maybe subtract 100 from 100, but that would give me 0, but that's not 256. Alternatively, subtract 89 plus 4 equals 93, but that's also not 256. Wait, but I can use division. S...
55	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	128	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [41, 21, 66], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 41, 21, and 66 to make 128. Each step can use two numbers. So first step would be adding 41 and 21 equals 62, but that's less than 128. That's not enough. Then I can subtract 66 minus 62, but that would give me 4, but that's not 128. Alternatively, subtract...	["{'generation': \"Okay, let's see. I need to use the numbers 41, 21, and 66 to make 128. Each step can use two numbers. So first step would be adding 41 and 21 equals 62, but that's less than 128. That's not enough. Then I can subtract 66 minus 62, but that would give me 4, but that's not 128. Alternatively, subtract ...	699a4ebaeb955b19b7948c19a54dfd91dfa7bbf3ab734514900337e2c766bac5	bea54bbdfa5822b1d9638a02900d41a71d3b5cc87d1fc42a7d2fdd43b82add2e	2747b7c718564ba5f066f0523b03e17f6a496b06851333d2d59ab6d863225848	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 41, 21, and 66 to make 128. Each step can use two numbers. So first step would be adding 41 and 21 equals 62, but that's less than 128. That's not enough. Then I can subtract 66 minus 62, but that would give me 4, but that's not 128. Alternatively, subtract 66 minus 41 equal...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 41, 21, and 66 to make 128. Each step can use two numbers. So first step would be adding 41 and 21 equals 62, but that's less than 128. That's not enough. Then I can subtract 66 minus 62, but that would give me 4, but that's not 128. Alternatively, ...
56	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	756	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [99, 87, 63], create an equation that equals 756. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 99, 87, and 63 to make 756. Each number can only be used once. Hmm. Let's start by thinking about the target number, 756. Maybe I can subtract two numbers and then multiply by the third? Or maybe subtract two numbers and subtract the third? Wait, but that w...	["{'generation': \"Okay, let's see. I need to use the numbers 99, 87, and 63 to make 756. Each number can only be used once. Hmm. Let's start by thinking about the target number, 756. Maybe I can subtract two numbers and then multiply by the third? Or maybe subtract two numbers and subtract the third? Wait, but that wo...	34e4bda6c9877f9c12ab6c4a8ebd0aa868232492f02c5bd747ccb503e02f65a0	3a69251b3a7f66945405120ac8f7839560d2314e6eb9d827798c713009d0635f	a7f0b84de7a450eaf6ffab449cb0f141b69eb701ffb455f375c3dae4277b25c1	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 99, 87, and 63 to make 756. Each number can only be used once. Hmm. Let's start by thinking about the target number, 756. Maybe I can subtract two numbers and then multiply by the third? Or maybe subtract two numbers and subtract the third? Wait, but that would give me a neg...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 99, 87, and 63 to make 756. Each number can only be used once. Hmm. Let's start by thinking about the target number, 756. Maybe I can subtract two numbers and then multiply by the third? Or maybe subtract two numbers and subtract the third? Wait, bu...
57	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	123	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [93, 96, 66], create an equation that equals 123. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 93, 96, and 66 to make 123. Each number can only be used once. So I have three numbers and I can use subtraction or division. Let's try subtracting 93 from 96, which gives me 3, but that's already one of the numbers. But I can't use 66 again. So that's not ...	["{'generation': \"Okay, let's see. I need to use the numbers 93, 96, and 66 to make 123. Each number can only be used once. So I have three numbers and I can use subtraction or division. Let's try subtracting 93 from 96, which gives me 3, but that's already one of the numbers. But I can't use 66 again. So that's not a...	ba9790a339069c1f4976c22d514a307b14880dec9f16ee243685038d7e5ba38e	3f85d97512a1968504e953b7d795c41d8cf557b39cbe40f7b9a3481830abf3df	a665a45920422f9d417e4867efdc4fb8a04a1f3fff1fa07e998e86f7f7a27ae3	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 93, 96, and 66 to make 123. Each number can only be used once. So I have three numbers and I can use subtraction or division. Let's try subtracting 93 from 96, which gives me 3, but that's already one of the numbers. But I can't use 66 again. So that's not available. Alterna...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 93, 96, and 66 to make 123. Each number can only be used once. So I have three numbers and I can use subtraction or division. Let's try subtracting 93 from 96, which gives me 3, but that's already one of the numbers. But I can't use 66 again. So tha...
58	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	698	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [41, 40, 18], create an equation that equals 698. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': 'Okay, let\\'s see. I need to use the numbers 41, 40, and 18 to make 698. Each step can use two numbers. So first, maybe subtract 41 from 40, which would give me 1, but that\\'s way too small. That\\'s not going to work. Alternatively, multiplying 41 by 18 would give me 758, which is over 698. That\\'...	["{'generation': 'Okay, let\\'s see. I need to use the numbers 41, 40, and 18 to make 698. Each step can use two numbers. So first, maybe subtract 41 from 40, which would give me 1, but that\\'s way too small. That\\'s not going to work. Alternatively, multiplying 41 by 18 would give me 758, which is over 698. That\\'s...	9aa005c704fce13fb983d7a500a2944c3667383dad8d17a06b78052e12c31859	8fd2a741dbe047e2bd40a85ef08b2a4c00482a12ce769447fe57e0277cf0ba14	e4c6a9f38e8e4d127290cf104ac1f46d0649c7db6c89f4bc10be7447bf1f514c	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 41, 40, and 18 to make 698. Each step can use two numbers. So first, maybe subtract 41 from 40, which would give me 1, but that's way too small. That's not going to work. Alternatively, multiplying 41 by 18 would give me 758, which is over 698. That's 60 over, but I only hav...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 41, 40, and 18 to make 698. Each step can use two numbers. So first, maybe subtract 41 from 40, which would give me 1, but that's way too small. That's not going to work. Alternatively, multiplying 41 by 18 would give me 758, which is over 698. That...
59	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	240	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [96, 84, 60], create an equation that equals 240. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 96, 84, and 60 to make 240. Each number can only be used once. So how can I subtract or add them? Let's start by subtracting 96 and 84, which gives me 12, but that's not 240. Alternatively, subtract 96 minus 84 equals 12, but again that's not 240. Alternati...	["{'generation': \"Okay, let's see. I need to use the numbers 96, 84, and 60 to make 240. Each number can only be used once. So how can I subtract or add them? Let's start by subtracting 96 and 84, which gives me 12, but that's not 240. Alternatively, subtract 96 minus 84 equals 12, but again that's not 240. Alternativ...	4d8e2c7188b20a668fc2e90d113a47d2f9e67edf4a7d7a7fdce9b7fab12f6129	960218f2d316cdf26939dbc319c4b8f5c1621c150517248cc43e0f01fb6e0362	6af1f692e9496c6d0b668316eccb93276ae6b6774fa728aac31ff40a38318760	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 96, 84, and 60 to make 240. Each number can only be used once. So how can I subtract or add them? Let's start by subtracting 96 and 84, which gives me 12, but that's not 240. Alternatively, subtract 96 minus 84 equals 12, but again that's not 240. Alternatively, subtract 96 ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 96, 84, and 60 to make 240. Each number can only be used once. So how can I subtract or add them? Let's start by subtracting 96 and 84, which gives me 12, but that's not 240. Alternatively, subtract 96 minus 84 equals 12, but again that's not 240. A...
60	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	984	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [89, 94, 10], create an equation that equals 984. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 89, 94, and 10 to make 984. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. 94 and 89 are both large, so maybe multiplying them would get close. Let's try that: 94 multiplied by 89. Wait, that would be 94*89...	["{'generation': \"Okay, let's see. I need to use the numbers 89, 94, and 10 to make 984. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. 94 and 89 are both large, so maybe multiplying them would get close. Let's try that: 94 multiplied by 89. Wait, that would be 94*89....	105a370f17faf689630c4a9fdfd89b7ec777b638359da65bb4e443e4f55efa04	06642fb88731c796e8be9c0b5160c20f860b12a789a96e50eebaa5ee1418183e	72805ff7c0f210f3aa6e66f3f208974437611c64a2393f4e7edfef47d8e140a7	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 89, 94, and 10 to make 984. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. 94 and 89 are both large, so maybe multiplying them would get close. Let's try that: 94 multiplied by 89. Wait, that would be 94*89. But that's a big...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 89, 94, and 10 to make 984. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. 94 and 89 are both large, so maybe multiplying them would get close. Let's try that: 94 multiplied by 89. Wait, that would ...
61	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	147	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [78, 88, 19], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': 'Okay, let\\'s see. I need to use the numbers 78, 88, and 19 to make 147. Each number can only be used once. So I have three numbers and I can use addition, subtraction, multiplication, or division. Let me start by thinking about how these numbers can combine.\\n\\nFirst, maybe subtract 78 from 88, bu...	["{'generation': 'Okay, let\\'s see. I need to use the numbers 78, 88, and 19 to make 147. Each number can only be used once. So I have three numbers and I can use addition, subtraction, multiplication, or division. Let me start by thinking about how these numbers can combine.\\n\\nFirst, maybe subtract 78 from 88, but...	00ac5090ca7822ff6f051c16d6e8352bd0e198b69230ae924a133223bb5bf9e4	b3a5991436acbc8dabbd9ff76e83e2fc6247253189380ff20d3784d6b9effa4c	1d28c120568c10e19b9d8abe8b66d0983fa3d2e11ee7751aca50f83c6f4a43aa	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 78, 88, and 19 to make 147. Each number can only be used once. So I have three numbers and I can use addition, subtraction, multiplication, or division. Let me start by thinking about how these numbers can combine.\n\nFirst, maybe subtract 78 from 88, but that would give me ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 78, 88, and 19 to make 147. Each number can only be used once. So I have three numbers and I can use addition, subtraction, multiplication, or division. Let me start by thinking about how these numbers can combine.\n\nFirst, maybe subtract 78 from 8...
62	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	153	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [51, 48, 16], create an equation that equals 153. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 51, 48, and 16 to make 153. Each number can only be used once. So, first, maybe subtract 48 from 51, that would give me 3, but that's not 153. But I have 16 left. If I subtract 16 from that 3, that would also give me 3, but that's again not 153. That's not ...	["{'generation': \"Okay, let's see. I need to use the numbers 51, 48, and 16 to make 153. Each number can only be used once. So, first, maybe subtract 48 from 51, that would give me 3, but that's not 153. But I have 16 left. If I subtract 16 from that 3, that would also give me 3, but that's again not 153. That's not w...	da8ee9464d3ea955b6b82782b36db3cbd6e0f9d556232df24826c70637eb7ea7	1aeedefe997e1e5cc7cde80e0ad160125d29841d304012cc15ba356615e353c2	620c9c332101a5bae955c66ae72268fbcd3972766179522c8deede6a249addb7	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 51, 48, and 16 to make 153. Each number can only be used once. So, first, maybe subtract 48 from 51, that would give me 3, but that's not 153. But I have 16 left. If I subtract 16 from that 3, that would also give me 3, but that's again not 153. That's not working. Alternati...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 51, 48, and 16 to make 153. Each number can only be used once. So, first, maybe subtract 48 from 51, that would give me 3, but that's not 153. But I have 16 left. If I subtract 16 from that 3, that would also give me 3, but that's again not 153. Tha...
63	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	935	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [70, 67, 15], create an equation that equals 935. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 70, 67, and 15 to make 935. Each number can only be used once. So I can use multiplication here because 935 is a pretty big number. Let's think about the steps.\\n\\nFirst step: Multiply 70 and 67. That would give me 4690, which is way too big. But that's n...	["{'generation': \"Okay, let's see. I need to use the numbers 70, 67, and 15 to make 935. Each number can only be used once. So I can use multiplication here because 935 is a pretty big number. Let's think about the steps.\\n\\nFirst step: Multiply 70 and 67. That would give me 4690, which is way too big. But that's no...	dcdda43860b2cb7d5016b16e5368313fea0192ab8fd2b25cd45e8da60bcaa320	0f7aa0109ae99437c5d18ce29e17195b4d50d78cdfa0994bbc8534ee6578856f	b064bdba191139689139124101c1c39926326a9b221bd8dfcd603f065c3dc3b8	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 70, 67, and 15 to make 935. Each number can only be used once. So I can use multiplication here because 935 is a pretty big number. Let's think about the steps.\n\nFirst step: Multiply 70 and 67. That would give me 4690, which is way too big. But that's not 935. So that's no...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 70, 67, and 15 to make 935. Each number can only be used once. So I can use multiplication here because 935 is a pretty big number. Let's think about the steps.\n\nFirst step: Multiply 70 and 67. That would give me 4690, which is way too big. But th...
64	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	506	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [22, 46, 2], create an equation that equals 506. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 22, 46, and 2 to make 506. Each step can use two numbers. So first step: add 22 and 46 to get 68, but that's way too low. That's not 506. Second step: multiply 22 by 2 to get 44, but that's still not 506. Alternatively, multiply 46 by 2 to get 92, but that'...	["{'generation': \"Okay, let's see. I need to use the numbers 22, 46, and 2 to make 506. Each step can use two numbers. So first step: add 22 and 46 to get 68, but that's way too low. That's not 506. Second step: multiply 22 by 2 to get 44, but that's still not 506. Alternatively, multiply 46 by 2 to get 92, but that's...	46810eddf3700924d560c622e8b7e2432b3095679862b875ea5bd7907ded3aff	aa897dce422c8aec545ef44afca6bf440bd66786ed4b79f6ca902f62cdbc7019	a2075145d3cc47b2b56aeec5e9c78fe7e0055169961b6823629772c96f1f0319	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 22, 46, and 2 to make 506. Each step can use two numbers. So first step: add 22 and 46 to get 68, but that's way too low. That's not 506. Second step: multiply 22 by 2 to get 44, but that's still not 506. Alternatively, multiply 46 by 2 to get 92, but that's still not 506. A...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 22, 46, and 2 to make 506. Each step can use two numbers. So first step: add 22 and 46 to get 68, but that's way too low. That's not 506. Second step: multiply 22 by 2 to get 44, but that's still not 506. Alternatively, multiply 46 by 2 to get 92, b...
65	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	511	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [16, 31, 30], create an equation that equals 511. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 16, 31, and 30 to make 511. Each number can only be used once. Hmm. Let's start by thinking about the target number, 511. That's a pretty big number, so maybe multiplication is involved here.\\n\\nFirst, let's note the numbers: 16, 31, 30. All three can be ...	["{'generation': \"Okay, let's see. I need to use the numbers 16, 31, and 30 to make 511. Each number can only be used once. Hmm. Let's start by thinking about the target number, 511. That's a pretty big number, so maybe multiplication is involved here.\\n\\nFirst, let's note the numbers: 16, 31, 30. All three can be m...	a2b4bf9d4b49162451c483787cdc6a9907e7fb64da661a244dce90de0bae3582	d5fc7b4d740c6b92ed04049219f08bf4a2fe93c082dd16bc6715a52642dfe918	2c69bc9b34fb0800a44a702e45019c107dfdc8273b9feb62c9615addc7138bde	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 16, 31, and 30 to make 511. Each number can only be used once. Hmm. Let's start by thinking about the target number, 511. That's a pretty big number, so maybe multiplication is involved here.\n\nFirst, let's note the numbers: 16, 31, 30. All three can be multiplied to get cl...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 16, 31, and 30 to make 511. Each number can only be used once. Hmm. Let's start by thinking about the target number, 511. That's a pretty big number, so maybe multiplication is involved here.\n\nFirst, let's note the numbers: 16, 31, 30. All three c...
66	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	122	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [100, 88, 66], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work ...	[["{'generation': \"Okay, let's see. I need to use the numbers 100, 88, and 66 to make 122. Each number can only be used once. How can I subtract 100 from 88, but that would give me 12, but I need 122. That's not 122. Alternatively, subtract 88 minus 66 is 22, but that's over by 10. So that's not it. Alternatively, sub...	["{'generation': \"Okay, let's see. I need to use the numbers 100, 88, and 66 to make 122. Each number can only be used once. How can I subtract 100 from 88, but that would give me 12, but I need 122. That's not 122. Alternatively, subtract 88 minus 66 is 22, but that's over by 10. So that's not it. Alternatively, subt...	17099879b85f88cf84457d54d0ff7db0f5a3afc208e55ae6267a968a3ed55596	b6e213e480a0dca7384feea8889616d17d13bb1fbadfce24ab5019cd481f34ab	1be00341082e25c4e251ca6713e767f7131a2823b0052caf9c9b006ec512f6cb	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 100, 88, and 66 to make 122. Each number can only be used once. How can I subtract 100 from 88, but that would give me 12, but I need 122. That's not 122. Alternatively, subtract 88 minus 66 is 22, but that's over by 10. So that's not it. Alternatively, subtract 100 minus 88...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 100, 88, and 66 to make 122. Each number can only be used once. How can I subtract 100 from 88, but that would give me 12, but I need 122. That's not 122. Alternatively, subtract 88 minus 66 is 22, but that's over by 10. So that's not it. Alternativ...
67	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	130	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [59, 22, 93], create an equation that equals 130. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 59, 22, and 93 to make 130. Each step can use two numbers. So first step subtract 59 from 93, which gives 34, but that's over by 14, which is not 130. That's not working. Alternatively, 93 minus 59 is 34, but again that's over by 14. Still not 130. \\n\\nWh...	["{'generation': \"Okay, let's see. I need to use the numbers 59, 22, and 93 to make 130. Each step can use two numbers. So first step subtract 59 from 93, which gives 34, but that's over by 14, which is not 130. That's not working. Alternatively, 93 minus 59 is 34, but again that's over by 14. Still not 130. \\n\\nWha...	69857613fee3beb657cf730e9a8c00424eabcea389c53e9e54113c2fe115a8ca	e2ef832886b771de2df0881887d643748ff541f4bcb36bc8821ee9e37feb6b17	38d66d9692ac590000a91b03a88da1c88d51fab2b78f63171f553ecc551a0c6f	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 59, 22, and 93 to make 130. Each step can use two numbers. So first step subtract 59 from 93, which gives 34, but that's over by 14, which is not 130. That's not working. Alternatively, 93 minus 59 is 34, but again that's over by 14. Still not 130. \n\nWhat if I subtract 93 ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 59, 22, and 93 to make 130. Each step can use two numbers. So first step subtract 59 from 93, which gives 34, but that's over by 14, which is not 130. That's not working. Alternatively, 93 minus 59 is 34, but again that's over by 14. Still not 130. ...
68	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	147	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [17, 35, 95], create an equation that equals 147. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 17, 35, and 95 to make 147. Each step can use two numbers. So how can I combine them? Let's start by trying addition. If I add 17 and 35, that gives me 52, but that's less than 147. Then I have 95, which is over. But that would require using all three numbe...	["{'generation': \"Okay, let's see. I need to use the numbers 17, 35, and 95 to make 147. Each step can use two numbers. So how can I combine them? Let's start by trying addition. If I add 17 and 35, that gives me 52, but that's less than 147. Then I have 95, which is over. But that would require using all three number...	0135b4b29cf4a6f16553dd49d386e426386894e3285d43e7dca353ece04f692d	1118974bfc2c59f70d2a80721fd8f559a6a9636e3791e4f5165676784dcd513b	1d28c120568c10e19b9d8abe8b66d0983fa3d2e11ee7751aca50f83c6f4a43aa	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 17, 35, and 95 to make 147. Each step can use two numbers. So how can I combine them? Let's start by trying addition. If I add 17 and 35, that gives me 52, but that's less than 147. Then I have 95, which is over. But that would require using all three numbers, but I only nee...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 17, 35, and 95 to make 147. Each step can use two numbers. So how can I combine them? Let's start by trying addition. If I add 17 and 35, that gives me 52, but that's less than 147. Then I have 95, which is over. But that would require using all thr...
69	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	189	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [58, 35, 96], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 58, 35, and 96 to make 189. Each step can use two numbers. So first step would be adding 58 and 35, which gives 93, but that's less than 189. That's not enough. Then I can subtract 96 minus 17, but I don't have 17. Alternatively, 96 minus 58 is 38, but that...	["{'generation': \"Okay, let's see. I need to use the numbers 58, 35, and 96 to make 189. Each step can use two numbers. So first step would be adding 58 and 35, which gives 93, but that's less than 189. That's not enough. Then I can subtract 96 minus 17, but I don't have 17. Alternatively, 96 minus 58 is 38, but that'...	12ee8f305a5be56af04fc7f2b6583c6bcd7d2fe61178927834d81e43120f91fe	d81338ef3ba11f5affba65216e666e930d1ea5a9f75a0507e474af6e6d6751d1	7045d16ae7f043ec25774a0a85d6f479e5bb019e9c5a1584bc76736d116b8f33	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 58, 35, and 96 to make 189. Each step can use two numbers. So first step would be adding 58 and 35, which gives 93, but that's less than 189. That's not enough. Then I can subtract 96 minus 17, but I don't have 17. Alternatively, 96 minus 58 is 38, but that's over by 19, but...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 58, 35, and 96 to make 189. Each step can use two numbers. So first step would be adding 58 and 35, which gives 93, but that's less than 189. That's not enough. Then I can subtract 96 minus 17, but I don't have 17. Alternatively, 96 minus 58 is 38, ...
70	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	129	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [43, 91, 81], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 43, 91, and 81 to make 129. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe subtract 43 from 91, but that would give me 48, which is higher than 129. That's not helpful. Alternatively, ...	["{'generation': \"Okay, let's see. I need to use the numbers 43, 91, and 81 to make 129. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe subtract 43 from 91, but that would give me 48, which is higher than 129. That's not helpful. Alternatively, s...	8c0a06c4b2a72be83688b0f9542ee93c4cdaa8a9216bad22098faf8c4f22d5db	6e7216faa53901ced399035ea327bcbd1ca399cd0cea79a21b27c25399110923	6566230e3a3ce3774c1bbc7c18b590ae0f457bbcd511e90e3e7dca2a02e7addc	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 43, 91, and 81 to make 129. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe subtract 43 from 91, but that would give me 48, which is higher than 129. That's not helpful. Alternatively, subtract 91 minus 43...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 43, 91, and 81 to make 129. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe subtract 43 from 91, but that would give me 48, which is higher than 129. That's not helpful. Alternati...
71	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	229	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [53, 78, 98], create an equation that equals 229. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 53, 78, and 98 to get 229. Each step can use two numbers. So I can do 98 plus 53 equals 151, but that's over 229 by 22, which is not 229. That's not working. Alternatively, 98 minus 53 is 45, but that's 16 over, which is also not 229. \\n\\nWhat if I subtra...	["{'generation': \"Okay, let's see. I need to use the numbers 53, 78, and 98 to get 229. Each step can use two numbers. So I can do 98 plus 53 equals 151, but that's over 229 by 22, which is not 229. That's not working. Alternatively, 98 minus 53 is 45, but that's 16 over, which is also not 229. \\n\\nWhat if I subtrac...	b4c6db08d27d00b351073be8a959078c219f81b22e17e7f8023860fb7ecc8d5d	2b0d2bc6a4138d7e9fc1498999cae5f52effefa0c6688d740081777305f04fb5	08490295488a1189099751ebeddb5992313dd2a831e07a92e66d196ddc261777	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 53, 78, and 98 to get 229. Each step can use two numbers. So I can do 98 plus 53 equals 151, but that's over 229 by 22, which is not 229. That's not working. Alternatively, 98 minus 53 is 45, but that's 16 over, which is also not 229. \n\nWhat if I subtract 78 and 53? That g...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 53, 78, and 98 to get 229. Each step can use two numbers. So I can do 98 plus 53 equals 151, but that's over 229 by 22, which is not 229. That's not working. Alternatively, 98 minus 53 is 45, but that's 16 over, which is also not 229. \n\nWhat if I ...
72	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	708	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [12, 45, 16], create an equation that equals 708. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 12, 45, and 16 to make 708. Each step can use two numbers. So first step would be 12 multiplied by 16 equals 192. But that's over 708 by 112, which is not 708. That's not working. Alternatively, 45 multiplied by 16 is 720, which is 12 over, so subtract 12 w...	["{'generation': \"Okay, let's see. I need to use the numbers 12, 45, and 16 to make 708. Each step can use two numbers. So first step would be 12 multiplied by 16 equals 192. But that's over 708 by 112, which is not 708. That's not working. Alternatively, 45 multiplied by 16 is 720, which is 12 over, so subtract 12 wo...	7715a7efda4196e28a3bb54b09db8f2fb19de1014157cff6ce02ade38b7b8bb7	efdc2a7c71af50056cc842e3140164c7d77b81e2223cd04692363e874187a83f	1706be6c293444756e72b05e4afa9eb1038e552ac6ce058309451ef7ddad7748	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 12, 45, and 16 to make 708. Each step can use two numbers. So first step would be 12 multiplied by 16 equals 192. But that's over 708 by 112, which is not 708. That's not working. Alternatively, 45 multiplied by 16 is 720, which is 12 over, so subtract 12 would give 708. So ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 12, 45, and 16 to make 708. Each step can use two numbers. So first step would be 12 multiplied by 16 equals 192. But that's over 708 by 112, which is not 708. That's not working. Alternatively, 45 multiplied by 16 is 720, which is 12 over, so subtr...
73	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	358	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [34, 11, 16], create an equation that equals 358. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 34, 11, and 16 to make 358. Each step can use two numbers. So first step, I can multiply 34 and 11, which would be 374. But that's over by 16, so that's not right. Alternatively, 34 multiplied by 16 is 544, which is way over. That's also not helpful. \\n\\n...	["{'generation': \"Okay, let's see. I need to use the numbers 34, 11, and 16 to make 358. Each step can use two numbers. So first step, I can multiply 34 and 11, which would be 374. But that's over by 16, so that's not right. Alternatively, 34 multiplied by 16 is 544, which is way over. That's also not helpful. \\n\\nW...	8721499c0eb66bb02d7cdca9aa5415c69ec7965c9f435e2c4a44abf00ee240c4	6745f5968264552a6008e437e1e60dc1d5ef2209e27ef6711ea823decf9cc718	62a0eae98b9fc0bd0ad941ae07ae5e2af545a64c8ddc43407bdfe6ae82addb4c	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 34, 11, and 16 to make 358. Each step can use two numbers. So first step, I can multiply 34 and 11, which would be 374. But that's over by 16, so that's not right. Alternatively, 34 multiplied by 16 is 544, which is way over. That's also not helpful. \n\nWhat if I subtract 1...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 34, 11, and 16 to make 358. Each step can use two numbers. So first step, I can multiply 34 and 11, which would be 374. But that's over by 16, so that's not right. Alternatively, 34 multiplied by 16 is 544, which is way over. That's also not helpful...
74	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	476	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [60, 68, 67], create an equation that equals 476. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 60, 68, and 67 to make 476. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe subtract two numbers and add the third? Let's try 68 minus 67 equals 1, but that's not 476. That's too small....	["{'generation': \"Okay, let's see. I need to use the numbers 60, 68, and 67 to make 476. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe subtract two numbers and add the third? Let's try 68 minus 67 equals 1, but that's not 476. That's too small. ...	72db198830a4f503e93f2d3bc755d216c145dbdfb8f4eeee58d7e52e91725679	2cbd69f12b12ce1967fd43c0b0aae92c9a9bb087c8c962463fc367cb5d9488f7	e73cb135243c08ab2c2adc333b150b9237093315f6b38e3361f07caf2bfb4d6b	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 60, 68, and 67 to make 476. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe subtract two numbers and add the third? Let's try 68 minus 67 equals 1, but that's not 476. That's too small. Alternatively, 68 m...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 60, 68, and 67 to make 476. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe subtract two numbers and add the third? Let's try 68 minus 67 equals 1, but that's not 476. That's too ...
75	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	124	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [68, 9, 47], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 68, 9, and 47 to make 124. Each number can only be used once. So first, I can subtract 68 minus 9 equals 59, but that's over by 15, which is not 124. Alternatively, 68 minus 47 is 21, but that's 7 more than 124. Hmm. What if I subtract 68 minus 47 equals 21...	["{'generation': \"Okay, let's see. I need to use the numbers 68, 9, and 47 to make 124. Each number can only be used once. So first, I can subtract 68 minus 9 equals 59, but that's over by 15, which is not 124. Alternatively, 68 minus 47 is 21, but that's 7 more than 124. Hmm. What if I subtract 68 minus 47 equals 21,...	7e976c8c274e6dcbf049c5af9db9e4ad0ff23c0b3ad5c24a290835a2710b957d	6ccac1a322a518bce22f3aa79e62aa92d3078ddee5c95b1b0a78499cb2ff87a5	6affdae3b3c1aa6aa7689e9b6a7b3225a636aa1ac0025f490cca1285ceaf1487	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 68, 9, and 47 to make 124. Each number can only be used once. So first, I can subtract 68 minus 9 equals 59, but that's over by 15, which is not 124. Alternatively, 68 minus 47 is 21, but that's 7 more than 124. Hmm. What if I subtract 68 minus 47 equals 21, but that's 7 ove...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 68, 9, and 47 to make 124. Each number can only be used once. So first, I can subtract 68 minus 9 equals 59, but that's over by 15, which is not 124. Alternatively, 68 minus 47 is 21, but that's 7 more than 124. Hmm. What if I subtract 68 minus 47 e...
76	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	627	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [23, 63, 30], create an equation that equals 627. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 23, 63, and 30 to make 627. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. Maybe multiplying 63 and 11 would get close, but I don't have an 11. Alternatively, 63 multiplied by 10 is 630, which is 7 over, bu...	["{'generation': \"Okay, let's see. I need to use the numbers 23, 63, and 30 to make 627. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. Maybe multiplying 63 and 11 would get close, but I don't have an 11. Alternatively, 63 multiplied by 10 is 630, which is 7 over, but...	a89509082c8a6309871b1db924504887667c66487045c3796959aeec837c6736	bf22080b7e5149334e00e04b4023af09d7561878dbb361a997baf130f3e7f151	9a35532c7499c19daeacafc961657409c7280ce59d7ae1a3606dd638ac3d99ec	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 23, 63, and 30 to make 627. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. Maybe multiplying 63 and 11 would get close, but I don't have an 11. Alternatively, 63 multiplied by 10 is 630, which is 7 over, but I don't have a 1...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 23, 63, and 30 to make 627. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. Maybe multiplying 63 and 11 would get close, but I don't have an 11. Alternatively, 63 multiplied by 10 is 630, which is 7 ...
77	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	918	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [51, 54, 3], create an equation that equals 918. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 51, 54, and 3 to make 918. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. Since 918 is a pretty big number, maybe multiplying 51 and 54 would get close. But 51 multiplied by 54 is... let me calculate that. ...	["{'generation': \"Okay, let's see. I need to use the numbers 51, 54, and 3 to make 918. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. Since 918 is a pretty big number, maybe multiplying 51 and 54 would get close. But 51 multiplied by 54 is... let me calculate that. 5...	adc4164aa040972a35bf05cc5559bab729f160d83fb6d831ea4febffada807e8	c845d0c8140fb05693bf916a40362a6b3cf379e17c350c55adea94837d5d10bb	4779bc407343d916c5a4f6a996174046419bdd87ce6c609054dc8788b3dfc233	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 51, 54, and 3 to make 918. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. Since 918 is a pretty big number, maybe multiplying 51 and 54 would get close. But 51 multiplied by 54 is... let me calculate that. 51 times 50 is 255...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 51, 54, and 3 to make 918. Each number can only be used once. Hmm. Let me start by thinking about the largest numbers first. Since 918 is a pretty big number, maybe multiplying 51 and 54 would get close. But 51 multiplied by 54 is... let me calculat...
78	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	102	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [24, 45, 33], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': 'Okay, let\\'s see. I need to use the numbers 24, 45, and 33 to make 102. Each step can use two numbers. So first step would be 24 plus 45 equals 69, but that\\'s less than 102. Then I would need to add 11, but I don\\'t have that number. Alternatively, 45 minus 24 is 21, but that\\'s also not 102. An...	["{'generation': 'Okay, let\\'s see. I need to use the numbers 24, 45, and 33 to make 102. Each step can use two numbers. So first step would be 24 plus 45 equals 69, but that\\'s less than 102. Then I would need to add 11, but I don\\'t have that number. Alternatively, 45 minus 24 is 21, but that\\'s also not 102. Ano...	4e9b6731741c8cf49edefc0673754b386964685531bb5f4422693042739295bb	d71244fab477a16ed5339ddaeaed47ca128997468a6e2b7aa8dccc0bf29124e2	37834f2f25762f23e1f74a531cbe445db73d6765ebe60878a7dfbecd7d4af6e1	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 24, 45, and 33 to make 102. Each step can use two numbers. So first step would be 24 plus 45 equals 69, but that's less than 102. Then I would need to add 11, but I don't have that number. Alternatively, 45 minus 24 is 21, but that's also not 102. Another approach: 45 plus 2...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 24, 45, and 33 to make 102. Each step can use two numbers. So first step would be 24 plus 45 equals 69, but that's less than 102. Then I would need to add 11, but I don't have that number. Alternatively, 45 minus 24 is 21, but that's also not 102. A...
79	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	128	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [24, 8, 8], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work bef...	[["{'generation': \"Okay, let's see. I need to use the numbers 24, 8, and 8 to make 128. Each number can only be used once. So first, I can subtract the two 8s, which would give me 8. But that's not enough. Alternatively, if I subtract 24 from 24, that would also give me 24, but that's not 128. That's not helpful. \\n\...	["{'generation': \"Okay, let's see. I need to use the numbers 24, 8, and 8 to make 128. Each number can only be used once. So first, I can subtract the two 8s, which would give me 8. But that's not enough. Alternatively, if I subtract 24 from 24, that would also give me 24, but that's not 128. That's not helpful. \\n\\...	1f10e36599086ba8c19d80cc8fa4975dfe46d3b90db56be42066b4fdb438f951	18df3b669416f2efc2fb65d5cf72e7b2f3e04bd7595c3b000e2c229e1f0efc1b	2747b7c718564ba5f066f0523b03e17f6a496b06851333d2d59ab6d863225848	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 24, 8, and 8 to make 128. Each number can only be used once. So first, I can subtract the two 8s, which would give me 8. But that's not enough. Alternatively, if I subtract 24 from 24, that would also give me 24, but that's not 128. That's not helpful. \n\nAlternatively, I c...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 24, 8, and 8 to make 128. Each number can only be used once. So first, I can subtract the two 8s, which would give me 8. But that's not enough. Alternatively, if I subtract 24 from 24, that would also give me 24, but that's not 128. That's not helpf...
80	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	711	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [15, 87, 8], create an equation that equals 711. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 15, 87, and 8 to make 711. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe I can subtract 87 minus 15, but that would give me 72, which is close to 711 but not quite. That's not helpful...	["{'generation': \"Okay, let's see. I need to use the numbers 15, 87, and 8 to make 711. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe I can subtract 87 minus 15, but that would give me 72, which is close to 711 but not quite. That's not helpful....	3922e0110d818666d0f41d176c6f010790172e87b4edd1e4a94b1962c93a6477	b51051571d0f52d75f61c0ce2194058edc30a8223b6839a3dcb610f34442e28f	2499d690642faa4da2a67b078236d1c031217f3c31cf2da2142c8e84e3d617f1	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 15, 87, and 8 to make 711. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe I can subtract 87 minus 15, but that would give me 72, which is close to 711 but not quite. That's not helpful. Alternatively, if ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 15, 87, and 8 to make 711. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe I can subtract 87 minus 15, but that would give me 72, which is close to 711 but not quite. That's not h...
81	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	790	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [79, 22, 32], create an equation that equals 790. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 79, 22, and 32 to make 790. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 79. Since 79 is already a pretty big number, maybe I can multiply it by one of the others to get close to 790. Let's try 79 multiplied by 1...	["{'generation': \"Okay, let's see. I need to use the numbers 79, 22, and 32 to make 790. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 79. Since 79 is already a pretty big number, maybe I can multiply it by one of the others to get close to 790. Let's try 79 multiplied by 10...	24296427f49de74be27ce119ad2943f3f228bcd55fa4c8d22397030639d28a2a	f7cdbf6f00ff87d5778f6bd3ac0897317b93873e8c805a837105bb194bd0556a	1a6d9c97798d8997f85ed9228296d533be6b47f97217709d7e2b628e21800220	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 79, 22, and 32 to make 790. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 79. Since 79 is already a pretty big number, maybe I can multiply it by one of the others to get close to 790. Let's try 79 multiplied by 10, but I don't hav...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 79, 22, and 32 to make 790. Each number can only be used once. Hmm. Let's start by thinking about the largest number, 79. Since 79 is already a pretty big number, maybe I can multiply it by one of the others to get close to 790. Let's try 79 multipl...
82	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	174	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [56, 60, 58], create an equation that equals 174. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 56, 60, and 58 to make 174. Each number can only be used once. Hmm. Let's start by thinking about the target number, 174. Maybe I can subtract two numbers and add the third? Let's try different combinations.\\n\\nFirst, if I subtract 56 and 58, that gives m...	["{'generation': \"Okay, let's see. I need to use the numbers 56, 60, and 58 to make 174. Each number can only be used once. Hmm. Let's start by thinking about the target number, 174. Maybe I can subtract two numbers and add the third? Let's try different combinations.\\n\\nFirst, if I subtract 56 and 58, that gives me...	90c3d98f9f74267245289a54811e5bd9f772eacbe03b0e08c47394f25d9e7838	03ac0758ae4fef6ae9f61582072f73d455291d31c6e660cdadd0399a1eb01afe	41e521adf8ae7a0f419ee06e1d9fb794162369237b46f64bf5b2b9969b0bcd2e	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 56, 60, and 58 to make 174. Each number can only be used once. Hmm. Let's start by thinking about the target number, 174. Maybe I can subtract two numbers and add the third? Let's try different combinations.\n\nFirst, if I subtract 56 and 58, that gives me 2, but adding 60 w...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 56, 60, and 58 to make 174. Each number can only be used once. Hmm. Let's start by thinking about the target number, 174. Maybe I can subtract two numbers and add the third? Let's try different combinations.\n\nFirst, if I subtract 56 and 58, that g...
83	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	188	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [100, 94, 6], create an equation that equals 188. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 100, 94, and 6 to make 188. Each number can only be used once. So, subtract 100 minus 94 equals 6, but that would give me 6, but that's not 188. That's not working. Alternatively, subtract 100 minus 94 plus 6 equals 100, but that's over. Alternatively, 100 ...	["{'generation': \"Okay, let's see. I need to use the numbers 100, 94, and 6 to make 188. Each number can only be used once. So, subtract 100 minus 94 equals 6, but that would give me 6, but that's not 188. That's not working. Alternatively, subtract 100 minus 94 plus 6 equals 100, but that's over. Alternatively, 100 m...	12b515303db101ba59e6e916008f20ddf0cf1f097a3338cc02917ff35bdbaf78	aafc4d508180bf74ef9670fcf0b37d2c1d88bd964c46774a1871dee1c1cc346b	d6061bbee6cf13bd73765faaea7cdd0af1323e4b125342ac346047f7c4bda1fc	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 100, 94, and 6 to make 188. Each number can only be used once. So, subtract 100 minus 94 equals 6, but that would give me 6, but that's not 188. That's not working. Alternatively, subtract 100 minus 94 plus 6 equals 100, but that's over. Alternatively, 100 minus 94 plus 6 eq...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 100, 94, and 6 to make 188. Each number can only be used once. So, subtract 100 minus 94 equals 6, but that would give me 6, but that's not 188. That's not working. Alternatively, subtract 100 minus 94 plus 6 equals 100, but that's over. Alternative...
84	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	107	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [49, 88, 68], create an equation that equals 107. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 49, 88, and 68 to make 107. Each step can use two numbers. So first step would be 88 minus 49 equals 39, but that's over by 39, which is not 107. That's not working. Alternatively, 88 minus 68 is negative, which is not helpful. What if I subtract 88 minus 4...	["{'generation': \"Okay, let's see. I need to use the numbers 49, 88, and 68 to make 107. Each step can use two numbers. So first step would be 88 minus 49 equals 39, but that's over by 39, which is not 107. That's not working. Alternatively, 88 minus 68 is negative, which is not helpful. What if I subtract 88 minus 49...	0248e7f4d162cbf0024e1ba57c743b15fc485d3dba0976e4d8e53d750930336f	635db13fe6d030a11b112df3fd4adf865ac84a62d6a5c6bff6a48a3613ba3dd8	3346f2bbf6c34bd2dbe28bd1bb657d0e9c37392a1d5ec9929e6a5df4763ddc2d	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 49, 88, and 68 to make 107. Each step can use two numbers. So first step would be 88 minus 49 equals 39, but that's over by 39, which is not 107. That's not working. Alternatively, 88 minus 68 is negative, which is not helpful. What if I subtract 88 minus 49 equals 39, but a...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 49, 88, and 68 to make 107. Each step can use two numbers. So first step would be 88 minus 49 equals 39, but that's over by 39, which is not 107. That's not working. Alternatively, 88 minus 68 is negative, which is not helpful. What if I subtract 88...
85	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	905	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [24, 31, 39], create an equation that equals 905. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 24, 31, and 39 to make 905. Each step can use two numbers. So first step would be 24 multiplied by 31, which is 744. But that's less than 905, so I need to add the remaining number, which is 39. That would give me 744 + 39 = 783, which is over by 78. That's...	["{'generation': \"Okay, let's see. I need to use the numbers 24, 31, and 39 to make 905. Each step can use two numbers. So first step would be 24 multiplied by 31, which is 744. But that's less than 905, so I need to add the remaining number, which is 39. That would give me 744 + 39 = 783, which is over by 78. That's ...	25786145b2b2662c19496f03b5b802765aa78874846301d2a06587b2f2aaa976	bcd57933dcd41f0c6f2f6a08ef8db2135a63a1a428bbf57330db1564f4cd1aed	43f64dc77762f69f9f52d5f70b53170679cb9abfc688f4cf77bdfc8077f022bc	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 24, 31, and 39 to make 905. Each step can use two numbers. So first step would be 24 multiplied by 31, which is 744. But that's less than 905, so I need to add the remaining number, which is 39. That would give me 744 + 39 = 783, which is over by 78. That's not 905. So that'...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 24, 31, and 39 to make 905. Each step can use two numbers. So first step would be 24 multiplied by 31, which is 744. But that's less than 905, so I need to add the remaining number, which is 39. That would give me 744 + 39 = 783, which is over by 78...
86	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	101	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [72, 12, 17], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': 'Okay, let\\'s see. I need to use the numbers 72, 12, and 17 to make 101. Each step can use two numbers. So first step uses 72 and 12, and the second step uses the result and 17. That would give me 72 + 12 = 84, but that\\'s less than 101. That\\'s not enough. Alternatively, 72 minus 12 is 60, but tha...	["{'generation': 'Okay, let\\'s see. I need to use the numbers 72, 12, and 17 to make 101. Each step can use two numbers. So first step uses 72 and 12, and the second step uses the result and 17. That would give me 72 + 12 = 84, but that\\'s less than 101. That\\'s not enough. Alternatively, 72 minus 12 is 60, but that...	9bbeeb97aba62c57d4376225b8bed9d4227b5826d80d78672fcb9900dc749f92	9b1b7ea11045afe363b77f6dd612cf4b1ed5156d0be0af3df1bbdaa7545d8adc	16dc368a89b428b2485484313ba67a3912ca03f2b2b42429174a4f8b3dc84e44	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 72, 12, and 17 to make 101. Each step can use two numbers. So first step uses 72 and 12, and the second step uses the result and 17. That would give me 72 + 12 = 84, but that's less than 101. That's not enough. Alternatively, 72 minus 12 is 60, but that's still 19 short. Tha...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 72, 12, and 17 to make 101. Each step can use two numbers. So first step uses 72 and 12, and the second step uses the result and 17. That would give me 72 + 12 = 84, but that's less than 101. That's not enough. Alternatively, 72 minus 12 is 60, but ...
87	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	170	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [77, 65, 28], create an equation that equals 170. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 77, 65, and 28 to make an equation that equals 170. Each number can only be used once. Hmm. Let's start by subtracting 77 from 65, but that would give me a negative number, which is 12. But I can't use the 28 yet, so that's not helpful. Alternatively, if I ...	["{'generation': \"Okay, let's see. I need to use the numbers 77, 65, and 28 to make an equation that equals 170. Each number can only be used once. Hmm. Let's start by subtracting 77 from 65, but that would give me a negative number, which is 12. But I can't use the 28 yet, so that's not helpful. Alternatively, if I s...	c4fd2f8e2516d3aa70bdfc2d2f31800227f2724c6a327d46b22c52f6b7ee8757	191f7917f2c382fefd16ab7ae2ac0b29d6c9875403935dca659979d6a62ce88e	734d0759cdb4e0d0a35e4fd73749aee287e4fdcc8648b71a8d6ed591b7d4cb3f	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 77, 65, and 28 to make an equation that equals 170. Each number can only be used once. Hmm. Let's start by subtracting 77 from 65, but that would give me a negative number, which is 12. But I can't use the 28 yet, so that's not helpful. Alternatively, if I subtract 65 from 7...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 77, 65, and 28 to make an equation that equals 170. Each number can only be used once. Hmm. Let's start by subtracting 77 from 65, but that would give me a negative number, which is 12. But I can't use the 28 yet, so that's not helpful. Alternativel...
88	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	216	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [48, 80, 88], create an equation that equals 216. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 48, 80, and 88 to make 216. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe subtract 48 from 80, but that would give me 32, but that's not 216. Alternatively, subtract 88 minus 80 is 8,...	["{'generation': \"Okay, let's see. I need to use the numbers 48, 80, and 88 to make 216. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \\n\\nFirst, maybe subtract 48 from 80, but that would give me 32, but that's not 216. Alternatively, subtract 88 minus 80 is 8, ...	41df3b10e459ebb99e05b4a9e47cbe51710189977687b9e37c8890c10cc176b8	f7e8a3e955074548fe83c7e80e5290c354d3ed4abd89b40cb14f776fe928c3d4	0f4121d0ef1df4c86854c7ebb47ae1c93de8aec8f944035eeaa6495dd71a0678	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 48, 80, and 88 to make 216. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe subtract 48 from 80, but that would give me 32, but that's not 216. Alternatively, subtract 88 minus 80 is 8, but that's also not...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 48, 80, and 88 to make 216. Each number can only be used once. Hmm. Let's start by thinking about how these numbers can combine. \n\nFirst, maybe subtract 48 from 80, but that would give me 32, but that's not 216. Alternatively, subtract 88 minus 80...
89	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	819	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [38, 21, 1], create an equation that equals 819. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 38, 21, and 1 to make 819. Each number can only be used once. Hmm. Let me start by thinking about the target number, 819. That's a pretty big number, so maybe multiplication is involved here. \\n\\nFirst, I can multiply 38 and 21. Let's calculate that: 38 m...	["{'generation': \"Okay, let's see. I need to use the numbers 38, 21, and 1 to make 819. Each number can only be used once. Hmm. Let me start by thinking about the target number, 819. That's a pretty big number, so maybe multiplication is involved here. \\n\\nFirst, I can multiply 38 and 21. Let's calculate that: 38 mu...	d946c741291b8f2d88d98a91f16fe985cb3c0fd6393387b9933f0b247f5bb5c3	75c4e606861516ab471114cb93f7f832132d8f36ea95375acc5e82fa22b9d09f	bc57590a33fe355e174396df60ac503f8e99763776307dcd8b9ce8dfe3c47a2a	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 38, 21, and 1 to make 819. Each number can only be used once. Hmm. Let me start by thinking about the target number, 819. That's a pretty big number, so maybe multiplication is involved here. \n\nFirst, I can multiply 38 and 21. Let's calculate that: 38 multiplied by 21 equa...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 38, 21, and 1 to make 819. Each number can only be used once. Hmm. Let me start by thinking about the target number, 819. That's a pretty big number, so maybe multiplication is involved here. \n\nFirst, I can multiply 38 and 21. Let's calculate that...
90	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	112	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [77, 92, 97], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 77, 92, and 97 to make 112. Each step can use two numbers. So first step subtract 77 from 97, that gives me 20. Then subtract 92 minus 20 equals 72, but that's not 112. That's not working. Alternatively, subtract 97 minus 92 equals 5, but that's also not 11...	["{'generation': \"Okay, let's see. I need to use the numbers 77, 92, and 97 to make 112. Each step can use two numbers. So first step subtract 77 from 97, that gives me 20. Then subtract 92 minus 20 equals 72, but that's not 112. That's not working. Alternatively, subtract 97 minus 92 equals 5, but that's also not 112...	86c9c890f10f0d9f8cd69ad317e98b4245f9bbfef72bc37e5f20256dd47369b4	80d568241063d26eca90ae529b27e4d8b515675c9e6bc1db248c9872af213240	b1556dea32e9d0cdbfed038fd7787275775ea40939c146a64e205bcb349ad02f	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 77, 92, and 97 to make 112. Each step can use two numbers. So first step subtract 77 from 97, that gives me 20. Then subtract 92 minus 20 equals 72, but that's not 112. That's not working. Alternatively, subtract 97 minus 92 equals 5, but that's also not 112. So that's not t...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 77, 92, and 97 to make 112. Each step can use two numbers. So first step subtract 77 from 97, that gives me 20. Then subtract 92 minus 20 equals 72, but that's not 112. That's not working. Alternatively, subtract 97 minus 92 equals 5, but that's als...
91	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	175	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [100, 21, 54], create an equation that equals 175. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work ...	[["{'generation': \"Okay, let's see. I need to use the numbers 100, 21, and 54 to make 175. Each number can only be used once. So first, I can subtract 100 minus 21, but that would give me 79, which is higher than 175. That's not 175. Alternatively, subtract 100 minus 54 equals 46, which is lower than 175. Still not 17...	["{'generation': \"Okay, let's see. I need to use the numbers 100, 21, and 54 to make 175. Each number can only be used once. So first, I can subtract 100 minus 21, but that would give me 79, which is higher than 175. That's not 175. Alternatively, subtract 100 minus 54 equals 46, which is lower than 175. Still not 175...	3432d90d7c5faa9de8560c8085873e84c1222d164256a9c6906c62b8e7286d3b	ace7a1f020b35484ea328e8819eadefb44f596b07f846774b45673ac17261d2f	dac53c17c250fd4d4d81eaf6d88435676dac1f3f3896441e277af839bf50ed8a	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 100, 21, and 54 to make 175. Each number can only be used once. So first, I can subtract 100 minus 21, but that would give me 79, which is higher than 175. That's not 175. Alternatively, subtract 100 minus 54 equals 46, which is lower than 175. Still not 175. \n\nWhat if I s...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 100, 21, and 54 to make 175. Each number can only be used once. So first, I can subtract 100 minus 21, but that would give me 79, which is higher than 175. That's not 175. Alternatively, subtract 100 minus 54 equals 46, which is lower than 175. Stil...
92	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	309	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [100, 9, 3], create an equation that equals 309. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 100, 9, and 3 to make 309. Each number can only be used once. So first, I can subtract 100 from 100, but that would give me 100, but I still have the 9 and 3 left. But that would make 109, which is not 309. That's not enough. Alternatively, if I subtract 10...	["{'generation': \"Okay, let's see. I need to use the numbers 100, 9, and 3 to make 309. Each number can only be used once. So first, I can subtract 100 from 100, but that would give me 100, but I still have the 9 and 3 left. But that would make 109, which is not 309. That's not enough. Alternatively, if I subtract 100...	91d3521aa2389f2b96e98193786ef849a3a6d1f062f855a434306133731a0562	f9044f8587bb3b18a67cbfcfe74c752c5a71dca5c545e447855aff4d5107eb42	43c727ee4fc7250574d2ef90cfa16626388a10e1b30d36ece1c272953ad2ed9e	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 100, 9, and 3 to make 309. Each number can only be used once. So first, I can subtract 100 from 100, but that would give me 100, but I still have the 9 and 3 left. But that would make 109, which is not 309. That's not enough. Alternatively, if I subtract 100 plus 9, that wou...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 100, 9, and 3 to make 309. Each number can only be used once. So first, I can subtract 100 from 100, but that would give me 100, but I still have the 9 and 3 left. But that would make 109, which is not 309. That's not enough. Alternatively, if I sub...
93	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	102	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [76, 21, 47], create an equation that equals 102. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 76, 21, and 47 to make 102. Each step can use two numbers. So first step would be 76 minus 21 equals 55, but that's over by 5, which is not 102. Alternatively, 76 minus 47 is 29, but that's under by 17, which is not 102. Another approach: 76 minus 21 is 55,...	["{'generation': \"Okay, let's see. I need to use the numbers 76, 21, and 47 to make 102. Each step can use two numbers. So first step would be 76 minus 21 equals 55, but that's over by 5, which is not 102. Alternatively, 76 minus 47 is 29, but that's under by 17, which is not 102. Another approach: 76 minus 21 is 55, ...	b1311e4dcba4d42a236de42fc62600ad6ed33f8946714b841d7cb1793e663e5b	f315cf6658f9027b7fe77cdb672e98f5274c47562369728f3cb41a677742de00	37834f2f25762f23e1f74a531cbe445db73d6765ebe60878a7dfbecd7d4af6e1	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 76, 21, and 47 to make 102. Each step can use two numbers. So first step would be 76 minus 21 equals 55, but that's over by 5, which is not 102. Alternatively, 76 minus 47 is 29, but that's under by 17, which is not 102. Another approach: 76 minus 21 is 55, but again that's ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 76, 21, and 47 to make 102. Each step can use two numbers. So first step would be 76 minus 21 equals 55, but that's over by 5, which is not 102. Alternatively, 76 minus 47 is 29, but that's under by 17, which is not 102. Another approach: 76 minus 2...
94	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	968	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [67, 23, 22], create an equation that equals 968. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 67, 23, and 22 to make 968. Each step can use two numbers. So first step: 67 multiplied by 23 would be 1561, which is way over 968. That's too big. So that's not the answer. Alternatively, 67 multiplied by 22 is 1484, which is also over. Still not 968. \\n\...	["{'generation': \"Okay, let's see. I need to use the numbers 67, 23, and 22 to make 968. Each step can use two numbers. So first step: 67 multiplied by 23 would be 1561, which is way over 968. That's too big. So that's not the answer. Alternatively, 67 multiplied by 22 is 1484, which is also over. Still not 968. \\n\\...	2b0cb12af11677e69f60bcaa2cbd9f4ac395cac713a840336653d5d98e05ad17	06bc4a73bd10114db8bee795b59c6d8b419e68fa2b8fa43b681aad7d2653c042	d6420a4ee44bc345c7bf3a2efbab98e08a4727016df8e8d6bb8375d0a23a8c72	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 67, 23, and 22 to make 968. Each step can use two numbers. So first step: 67 multiplied by 23 would be 1561, which is way over 968. That's too big. So that's not the answer. Alternatively, 67 multiplied by 22 is 1484, which is also over. Still not 968. \n\nWhat if I subtract...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 67, 23, and 22 to make 968. Each step can use two numbers. So first step: 67 multiplied by 23 would be 1561, which is way over 968. That's too big. So that's not the answer. Alternatively, 67 multiplied by 22 is 1484, which is also over. Still not 9...
95	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	156	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [98, 8, 66], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': 'Okay, let\\'s see. I need to use the numbers 98, 8, and 66 to make 156. Each number can only be used once. So first, maybe subtract 98 from 98, but that would give me 0, but that\\'s not 156. That\\'s not allowed because I have to use the 8 and 66. Alternatively, subtract 98 minus 8 equals 90, but th...	["{'generation': 'Okay, let\\'s see. I need to use the numbers 98, 8, and 66 to make 156. Each number can only be used once. So first, maybe subtract 98 from 98, but that would give me 0, but that\\'s not 156. That\\'s not allowed because I have to use the 8 and 66. Alternatively, subtract 98 minus 8 equals 90, but tha...	7b8995cadfa882223779c4cd3e7340011458d8eb4affc7fdd29c8c905fa5c509	3897eff624fc24d3092ed0bc83a1a6b5bb777a3eeda119711d1e0a332f39f340	0fecf9247f3ddc84db8a804fa3065c013baf6b7c2458c2ba2bf56c2e1d42ddd4	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 98, 8, and 66 to make 156. Each number can only be used once. So first, maybe subtract 98 from 98, but that would give me 0, but that's not 156. That's not allowed because I have to use the 8 and 66. Alternatively, subtract 98 minus 8 equals 90, but that's still not 156. The...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 98, 8, and 66 to make 156. Each number can only be used once. So first, maybe subtract 98 from 98, but that would give me 0, but that's not 156. That's not allowed because I have to use the 8 and 66. Alternatively, subtract 98 minus 8 equals 90, but...
96	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	165	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [73, 85, 7], create an equation that equals 165. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 73, 85, and 7 to make 165. Each step can use two numbers. So first step would be subtract 73 from 85, which gives 12, but that's not 165. That's not using the 7. Alternatively, subtract 85 minus 73 equals 12, but again that's not 165. Alternatively, adding ...	["{'generation': \"Okay, let's see. I need to use the numbers 73, 85, and 7 to make 165. Each step can use two numbers. So first step would be subtract 73 from 85, which gives 12, but that's not 165. That's not using the 7. Alternatively, subtract 85 minus 73 equals 12, but again that's not 165. Alternatively, adding 8...	89798aacf3b095743f057b3368dacabfe03b5f7231edab3a26dfb07176570bbf	1a1d79746d883d6ff97513857993a49553e53afd21cb3e8104cf9ddd3415a94d	bc52dd634277c4a34a2d6210994a9a5e2ab6d33bb4a3a8963410e00ca6c15a02	1	[true]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 73, 85, and 7 to make 165. Each step can use two numbers. So first step would be subtract 73 from 85, which gives 12, but that's not 165. That's not using the 7. Alternatively, subtract 85 minus 73 equals 12, but again that's not 165. Alternatively, adding 85 and 73 equals 1...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 73, 85, and 7 to make 165. Each step can use two numbers. So first step would be subtract 73 from 85, which gives 12, but that's not 165. That's not using the 7. Alternatively, subtract 85 minus 73 equals 12, but again that's not 165. Alternatively,...
97	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	179	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [42, 53, 84], create an equation that equals 179. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work b...	[["{'generation': \"Okay, let's see. I need to use the numbers 42, 53, and 84 to make 179. Each step can use two numbers. How can I subtract 14 from 84 and add 42 to get 126, but that's not enough. Alternatively, subtract 53 minus 42 equals 11, but that's not 179. Another approach: 84 minus 53 equals 31, but that's ove...	["{'generation': \"Okay, let's see. I need to use the numbers 42, 53, and 84 to make 179. Each step can use two numbers. How can I subtract 14 from 84 and add 42 to get 126, but that's not enough. Alternatively, subtract 53 minus 42 equals 11, but that's not 179. Another approach: 84 minus 53 equals 31, but that's over...	dd59d29e094cdc8d29e9453bf6aa56af4c573e12305c5bffbea88ec8911e9b73	8fa9832d284ba4a0eddd07aac8b14ef0821315ee3a0251847c82eebeefe821b6	3068430da9e4b7a674184035643d9e19af3dc7483e31cc03b35f75268401df77	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 42, 53, and 84 to make 179. Each step can use two numbers. How can I subtract 14 from 84 and add 42 to get 126, but that's not enough. Alternatively, subtract 53 minus 42 equals 11, but that's not 179. Another approach: 84 minus 53 equals 31, but that's over by 12. Alternati...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 42, 53, and 84 to make 179. Each step can use two numbers. How can I subtract 14 from 84 and add 42 to get 126, but that's not enough. Alternatively, subtract 53 minus 42 equals 11, but that's not 179. Another approach: 84 minus 53 equals 31, but th...
98	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	660	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [22, 7, 23], create an equation that equals 660. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 22, 7, and 23 to make 660. Each number can only be used once. Hmm. Let me start by thinking about the operations. Since 660 is a pretty big number, maybe multiplication is involved here. Let's see.\\n\\nFirst, 22 multiplied by 30 would give 660, but I don't...	["{'generation': \"Okay, let's see. I need to use the numbers 22, 7, and 23 to make 660. Each number can only be used once. Hmm. Let me start by thinking about the operations. Since 660 is a pretty big number, maybe multiplication is involved here. Let's see.\\n\\nFirst, 22 multiplied by 30 would give 660, but I don't ...	8f1020c7fe3f6969d4574c9e08f48e4234dbc1a32c62adf468e9a87c195701e8	b3049b662f36066c40630c5eb4bd5a6b9ccf1b29b9368534b4ed8d26fb7c3b40	fc9e91cc78e1817d80b4ba8c2dc9a638d0c57959825ee34f5e3d7688ad80dfb9	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 22, 7, and 23 to make 660. Each number can only be used once. Hmm. Let me start by thinking about the operations. Since 660 is a pretty big number, maybe multiplication is involved here. Let's see.\n\nFirst, 22 multiplied by 30 would give 660, but I don't have a 30. But I ha...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 22, 7, and 23 to make 660. Each number can only be used once. Hmm. Let me start by thinking about the operations. Since 660 is a pretty big number, maybe multiplication is involved here. Let's see.\n\nFirst, 22 multiplied by 30 would give 660, but I...
99	{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...	254	{"gen_args_0": {"arg_0": "<\|im_start\|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<\|im_end\|>\n<\|im_start\|>user\nUsing the numbers [3, 10, 88], create an equation that equals 254. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work be...	[["{'generation': \"Okay, let's see. I need to use the numbers 3, 10, and 88 to make 254. Each step can use one of the numbers. So first step uses 88 and 10, and the second step uses the result and 3. That would give me 88 plus 10 equals 98, but that's way too low. Alternatively, 88 minus 10 is 78, but that's still not...	["{'generation': \"Okay, let's see. I need to use the numbers 3, 10, and 88 to make 254. Each step can use one of the numbers. So first step uses 88 and 10, and the second step uses the result and 3. That would give me 88 plus 10 equals 98, but that's way too low. Alternatively, 88 minus 10 is 78, but that's still not ...	86c4eb473e741ba41a7a7dd8e0705d175bbda489e037302b508136af60bf6979	32f46c5f533c57ad54cbe8a22f597b94301c2b0fc83bde6e0ed122185d570fe5	9512d95d00d61bdec03d2b99d6ecc455ee5644ae52d10e7c4a61c93062dc97a3	0	[false]	samples_countdown_2025-06-16T07-41-17.986714.jsonl	["Okay, let's see. I need to use the numbers 3, 10, and 88 to make 254. Each step can use one of the numbers. So first step uses 88 and 10, and the second step uses the result and 3. That would give me 88 plus 10 equals 98, but that's way too low. Alternatively, 88 minus 10 is 78, but that's still not 254. If I add 3, ...	[{"budget_forced_chunks": ["Okay, let's see. I need to use the numbers 3, 10, and 88 to make 254. Each step can use one of the numbers. So first step uses 88 and 10, and the second step uses the result and 3. That would give me 88 plus 10 equals 98, but that's way too low. Alternatively, 88 minus 10 is 78, but that's s...

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