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TAUR-dev
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SIE_EVAL__countdown3arg_should_verify__sft__samples

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100
{"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...
910
{"gen_args_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, 39, 28, 23], create an equation that equals 910. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the multiplication problem \\\\(41 \\\\times 39\\\\), we can use the standard algorithm for long multiplication. Here are the steps:\\n\\n1. Write the numbers one under the other, aligning the digits by place value:\\n \\\\[\\n \\\\begin{array}{c@{}c}\\n & 41 \\\\\\\\\\n \\\\times ...
["{'generation': 'To solve the multiplication problem \\\\(41 \\\\times 39\\\\), we can use the standard algorithm for long multiplication. Here are the steps:\\n\\n1. Write the numbers one under the other, aligning the digits by place value:\\n \\\\[\\n \\\\begin{array}{c@{}c}\\n & 41 \\\\\\\\\\n \\\\times &...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\(41 \\times 39\\), we can use the standard algorithm for long multiplication. Here are the steps:\n\n1. Write the numbers one under the other, aligning the digits by place value:\n \\[\n \\begin{array}{c@{}c}\n & 41 \\\\\n \\times & 39 \\\\\n \\end{array}\n \\]\n\n2...
[{"budget_forced_chunks": ["To solve the multiplication problem \\(41 \\times 39\\), we can use the standard algorithm for long multiplication. Here are the steps:\n\n1. Write the numbers one under the other, aligning the digits by place value:\n \\[\n \\begin{array}{c@{}c}\n & 41 \\\\\n \\times & 39 \\\\\n ...
101
{"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...
426
{"gen_args_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, 22, 78, 6], create an equation that equals 426. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem 15 + 22 + 78 + 6, we can break it down into smaller steps:\\n\\n1. First, add 15 and 22:\\n 15 + 22 = 37\\n\\n2. Then, add 37 and 78:\\n 37 + 78 = 115\\n\\n3. Finally, add 115 and 6:\\n 115 + 6 = 121\\n\\nSo, the solution to the addition problem 15 + 22 + 78 + 6 i...
["{'generation': \"To solve the addition problem 15 + 22 + 78 + 6, we can break it down into smaller steps:\\n\\n1. First, add 15 and 22:\\n 15 + 22 = 37\\n\\n2. Then, add 37 and 78:\\n 37 + 78 = 115\\n\\n3. Finally, add 115 and 6:\\n 115 + 6 = 121\\n\\nSo, the solution to the addition problem 15 + 22 + 78 + 6 is...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 15 + 22 + 78 + 6, we can break it down into smaller steps:\n\n1. First, add 15 and 22:\n 15 + 22 = 37\n\n2. Then, add 37 and 78:\n 37 + 78 = 115\n\n3. Finally, add 115 and 6:\n 115 + 6 = 121\n\nSo, the solution to the addition problem 15 + 22 + 78 + 6 is 121.\n\nIs this answer corr...
[{"budget_forced_chunks": ["To solve the addition problem 15 + 22 + 78 + 6, we can break it down into smaller steps:\n\n1. First, add 15 and 22:\n 15 + 22 = 37\n\n2. Then, add 37 and 78:\n 37 + 78 = 115\n\n3. Finally, add 115 and 6:\n 115 + 6 = 121\n\nSo, the solution to the addition problem 15 + 22 + 78 + 6 is 1...
102
{"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...
561
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [33, 4, 90, 22], create an equation that equals 561. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the multiplication problem \\\\( 33 \\\\times 4 \\\\times 90 \\\\times 22 \\\\), we can break it down into smaller steps for easier calculation:\\n\\n1. **Break down the multiplication:**\\n - First, multiply \\\\( 33 \\\\) by \\\\( 4 \\\\).\\n - Then, multiply the result by \\\\( 90 \\...
["{'generation': \"To solve the multiplication problem \\\\( 33 \\\\times 4 \\\\times 90 \\\\times 22 \\\\), we can break it down into smaller steps for easier calculation:\\n\\n1. **Break down the multiplication:**\\n - First, multiply \\\\( 33 \\\\) by \\\\( 4 \\\\).\\n - Then, multiply the result by \\\\( 90 \\\...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 33 \\times 4 \\times 90 \\times 22 \\), we can break it down into smaller steps for easier calculation:\n\n1. **Break down the multiplication:**\n - First, multiply \\( 33 \\) by \\( 4 \\).\n - Then, multiply the result by \\( 90 \\).\n - Finally, multiply the result by \...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 33 \\times 4 \\times 90 \\times 22 \\), we can break it down into smaller steps for easier calculation:\n\n1. **Break down the multiplication:**\n - First, multiply \\( 33 \\) by \\( 4 \\).\n - Then, multiply the result by \\( 90 \\).\n - Finally...
103
{"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...
120
{"gen_args_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, 37, 19, 39], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 63 \\\\times 37 \\\\times 19 \\\\times 39 = 120 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\\n\\nFirst, we can rewrite the multiplication as:\\n\\\\[ (60 + 3) \\\\times (30 + 7) \\\\times (20 + 9) \\\\...
["{'generation': \"To solve the equation \\\\( 63 \\\\times 37 \\\\times 19 \\\\times 39 = 120 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\\n\\nFirst, we can rewrite the multiplication as:\\n\\\\[ (60 + 3) \\\\times (30 + 7) \\\\times (20 + 9) \\\\t...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 63 \\times 37 \\times 19 \\times 39 = 120 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\n\nFirst, we can rewrite the multiplication as:\n\\[ (60 + 3) \\times (30 + 7) \\times (20 + 9) \\times (30 + 3) = 120 \\]\n\nNow, we app...
[{"budget_forced_chunks": ["To solve the equation \\( 63 \\times 37 \\times 19 \\times 39 = 120 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\n\nFirst, we can rewrite the multiplication as:\n\\[ (60 + 3) \\times (30 + 7) \\times (20 + 9) \\times (30 + 3...
104
{"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...
507
{"gen_args_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 [11, 56, 38, 71], create an equation that equals 507. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem \\\\( 11 + 56 + 38 + 71 \\\\), we will break it down into smaller steps and add each number separately.\\n\\nStep 1: Add 11 and 56.\\n\\\\[\\n11 + 56 = 67\\n\\\\]\\n\\nStep 2: Add 67 and 38.\\n\\\\[\\n67 + 38 = 105\\n\\\\]\\n\\nStep 3: Add 105 and 71.\\n\\\\[\\n105 + 71...
["{'generation': \"To solve the addition problem \\\\( 11 + 56 + 38 + 71 \\\\), we will break it down into smaller steps and add each number separately.\\n\\nStep 1: Add 11 and 56.\\n\\\\[\\n11 + 56 = 67\\n\\\\]\\n\\nStep 2: Add 67 and 38.\\n\\\\[\\n67 + 38 = 105\\n\\\\]\\n\\nStep 3: Add 105 and 71.\\n\\\\[\\n105 + 71 ...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\( 11 + 56 + 38 + 71 \\), we will break it down into smaller steps and add each number separately.\n\nStep 1: Add 11 and 56.\n\\[\n11 + 56 = 67\n\\]\n\nStep 2: Add 67 and 38.\n\\[\n67 + 38 = 105\n\\]\n\nStep 3: Add 105 and 71.\n\\[\n105 + 71 = 176\n\\]\n\nSo, the final answer is \\( 176...
[{"budget_forced_chunks": ["To solve the addition problem \\( 11 + 56 + 38 + 71 \\), we will break it down into smaller steps and add each number separately.\n\nStep 1: Add 11 and 56.\n\\[\n11 + 56 = 67\n\\]\n\nStep 2: Add 67 and 38.\n\\[\n67 + 38 = 105\n\\]\n\nStep 3: Add 105 and 71.\n\\[\n105 + 71 = 176\n\\]\n\nSo, t...
105
{"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...
492
{"gen_args_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 [31, 26, 37, 91], create an equation that equals 492. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(31 \\\\times 26 + 37 \\\\times 91\\\\), we can break it down into simpler steps.\\n\\nStep 1: Break 37 into 30 and 7.\\nSo the equation becomes \\\\(31 \\\\times 26 + (30 \\\\times 91) + (7 \\\\times 91)\\\\).\\n\\nStep 2: Calculate \\\\(30 \\\\times 91\\\\).\\n\\\\(30 \\\...
["{'generation': \"To solve the equation \\\\(31 \\\\times 26 + 37 \\\\times 91\\\\), we can break it down into simpler steps.\\n\\nStep 1: Break 37 into 30 and 7.\\nSo the equation becomes \\\\(31 \\\\times 26 + (30 \\\\times 91) + (7 \\\\times 91)\\\\).\\n\\nStep 2: Calculate \\\\(30 \\\\times 91\\\\).\\n\\\\(30 \\\\...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(31 \\times 26 + 37 \\times 91\\), we can break it down into simpler steps.\n\nStep 1: Break 37 into 30 and 7.\nSo the equation becomes \\(31 \\times 26 + (30 \\times 91) + (7 \\times 91)\\).\n\nStep 2: Calculate \\(30 \\times 91\\).\n\\(30 \\times 91 = 2730\\).\n\nStep 3: Calculate \\(7 \\tim...
[{"budget_forced_chunks": ["To solve the equation \\(31 \\times 26 + 37 \\times 91\\), we can break it down into simpler steps.\n\nStep 1: Break 37 into 30 and 7.\nSo the equation becomes \\(31 \\times 26 + (30 \\times 91) + (7 \\times 91)\\).\n\nStep 2: Calculate \\(30 \\times 91\\).\n\\(30 \\times 91 = 2730\\).\n\nSt...
106
{"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...
197
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [50, 19, 3, 76], create an equation that equals 197. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem 197 using the numbers [50, 19, 3, 76], we can follow these steps:\\n\\nStep 1: Break down the number 197 into its tens and ones places. 197 = 100 + 97\\n\\nStep 2: Multiply the tens part (100) by the first number (50). 100 * 50 = 5000\\n\\nStep 3: Multiply the ones part...
["{'generation': \"To solve the addition problem 197 using the numbers [50, 19, 3, 76], we can follow these steps:\\n\\nStep 1: Break down the number 197 into its tens and ones places. 197 = 100 + 97\\n\\nStep 2: Multiply the tens part (100) by the first number (50). 100 * 50 = 5000\\n\\nStep 3: Multiply the ones part ...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 197 using the numbers [50, 19, 3, 76], we can follow these steps:\n\nStep 1: Break down the number 197 into its tens and ones places. 197 = 100 + 97\n\nStep 2: Multiply the tens part (100) by the first number (50). 100 * 50 = 5000\n\nStep 3: Multiply the ones part (97) by the second numb...
[{"budget_forced_chunks": ["To solve the addition problem 197 using the numbers [50, 19, 3, 76], we can follow these steps:\n\nStep 1: Break down the number 197 into its tens and ones places. 197 = 100 + 97\n\nStep 2: Multiply the tens part (100) by the first number (50). 100 * 50 = 5000\n\nStep 3: Multiply the ones pa...
107
{"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...
772
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [1, 28, 80, 10], create an equation that equals 772. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': 'To solve the equation \\\\( 1 \\\\times 28 \\\\times 80 \\\\times 10 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\\n\\n1. First, break down 80 into 80 = 80 = 80 + 0, where we will add the carries later.\\n\\n2. Now we can express t...
["{'generation': 'To solve the equation \\\\( 1 \\\\times 28 \\\\times 80 \\\\times 10 \\\\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\\n\\n1. First, break down 80 into 80 = 80 = 80 + 0, where we will add the carries later.\\n\\n2. Now we can express th...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 1 \\times 28 \\times 80 \\times 10 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\n\n1. First, break down 80 into 80 = 80 = 80 + 0, where we will add the carries later.\n\n2. Now we can express the multiplication as:\n \\( 1...
[{"budget_forced_chunks": ["To solve the equation \\( 1 \\times 28 \\times 80 \\times 10 \\), we can break it down into simpler steps by using the distributive property of multiplication over addition:\n\n1. First, break down 80 into 80 = 80 = 80 + 0, where we will add the carries later.\n\n2. Now we can express the mu...
108
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
213
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [100, 5, 55, 38], create an equation that equals 213. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 100 + 55 + 38 using the steps you provided, we follow these steps:\\n\\n1. **Add the units digits**: 5 + 8 = 13\\n2. **Multiply by the tens digit and shift**: 10 * 3 = 30, then shift the result one place to the left to get 300\\n3. **Add the two results**: 13 + 300 = 31...
["{'generation': \"To solve the addition problem 100 + 55 + 38 using the steps you provided, we follow these steps:\\n\\n1. **Add the units digits**: 5 + 8 = 13\\n2. **Multiply by the tens digit and shift**: 10 * 3 = 30, then shift the result one place to the left to get 300\\n3. **Add the two results**: 13 + 300 = 313...
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[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 100 + 55 + 38 using the steps you provided, we follow these steps:\n\n1. **Add the units digits**: 5 + 8 = 13\n2. **Multiply by the tens digit and shift**: 10 * 3 = 30, then shift the result one place to the left to get 300\n3. **Add the two results**: 13 + 300 = 313\n\nSo, the solution ...
[{"budget_forced_chunks": ["To solve the addition problem 100 + 55 + 38 using the steps you provided, we follow these steps:\n\n1. **Add the units digits**: 5 + 8 = 13\n2. **Multiply by the tens digit and shift**: 10 * 3 = 30, then shift the result one place to the left to get 300\n3. **Add the two results**: 13 + 300 ...
109
{"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...
168
{"gen_args_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, 14, 22, 64], create an equation that equals 168. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\(6 \\\\times 14 \\\\times 22 \\\\times 64\\\\) step by step, we can break it down into smaller multiplications.\\n\\nFirst, let's multiply 6 and 14:\\n\\n\\\\[\\n6 \\\\times 14 = 84\\n\\\\]\\n\\nNext, we multiply the result by 22:\\n\\n\\\\[\\n84 \\\\times 22 = 1848\\n\\\\]...
["{'generation': \"To solve the equation \\\\(6 \\\\times 14 \\\\times 22 \\\\times 64\\\\) step by step, we can break it down into smaller multiplications.\\n\\nFirst, let's multiply 6 and 14:\\n\\n\\\\[\\n6 \\\\times 14 = 84\\n\\\\]\\n\\nNext, we multiply the result by 22:\\n\\n\\\\[\\n84 \\\\times 22 = 1848\\n\\\\]\...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(6 \\times 14 \\times 22 \\times 64\\) step by step, we can break it down into smaller multiplications.\n\nFirst, let's multiply 6 and 14:\n\n\\[\n6 \\times 14 = 84\n\\]\n\nNext, we multiply the result by 22:\n\n\\[\n84 \\times 22 = 1848\n\\]\n\nNow, we multiply the result by 64:\n\n\\[\n1848 ...
[{"budget_forced_chunks": ["To solve the equation \\(6 \\times 14 \\times 22 \\times 64\\) step by step, we can break it down into smaller multiplications.\n\nFirst, let's multiply 6 and 14:\n\n\\[\n6 \\times 14 = 84\n\\]\n\nNext, we multiply the result by 22:\n\n\\[\n84 \\times 22 = 1848\n\\]\n\nNow, we multiply the r...
110
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
154
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [85, 88, 66, 91], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the problem of adding 85, 88, 66, and 91 to get 154 using basic arithmetic operations, we can follow these steps:\\n\\nStep 1: Start by adding the units digits, which is the last digit of each number: 5 + 8 = 13. Write down 3 and carry over 1.\\nStep 2: Now, add the tens digits, remember car...
["{'generation': 'To solve the problem of adding 85, 88, 66, and 91 to get 154 using basic arithmetic operations, we can follow these steps:\\n\\nStep 1: Start by adding the units digits, which is the last digit of each number: 5 + 8 = 13. Write down 3 and carry over 1.\\nStep 2: Now, add the tens digits, remember carr...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 85, 88, 66, and 91 to get 154 using basic arithmetic operations, we can follow these steps:\n\nStep 1: Start by adding the units digits, which is the last digit of each number: 5 + 8 = 13. Write down 3 and carry over 1.\nStep 2: Now, add the tens digits, remember carrying over the 1: 5 ...
[{"budget_forced_chunks": ["To solve the problem of adding 85, 88, 66, and 91 to get 154 using basic arithmetic operations, we can follow these steps:\n\nStep 1: Start by adding the units digits, which is the last digit of each number: 5 + 8 = 13. Write down 3 and carry over 1.\nStep 2: Now, add the tens digits, rememb...
111
{"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 [72, 43, 24, 15], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the addition problem 72 + 43 + 24 + 15, we can break it down into smaller steps:\\n\\n1. Add 72 and 43: \\n - 72 + 43 = 115\\n - This is because 43 comes after 72 in the number line, so we start from 72 and end at 43.\\n\\n2. Add 115 and 24:\\n - 115 + 24 = 139\\n - Since 24 is added...
["{'generation': 'To solve the addition problem 72 + 43 + 24 + 15, we can break it down into smaller steps:\\n\\n1. Add 72 and 43: \\n - 72 + 43 = 115\\n - This is because 43 comes after 72 in the number line, so we start from 72 and end at 43.\\n\\n2. Add 115 and 24:\\n - 115 + 24 = 139\\n - Since 24 is added ...
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565ea1b9144492ec4ac4c6d5f208348f13b0d25d1b57fb689f9b9d53fdf5989b
6affdae3b3c1aa6aa7689e9b6a7b3225a636aa1ac0025f490cca1285ceaf1487
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 72 + 43 + 24 + 15, we can break it down into smaller steps:\n\n1. Add 72 and 43: \n - 72 + 43 = 115\n - This is because 43 comes after 72 in the number line, so we start from 72 and end at 43.\n\n2. Add 115 and 24:\n - 115 + 24 = 139\n - Since 24 is added after 115 in the number ...
[{"budget_forced_chunks": ["To solve the addition problem 72 + 43 + 24 + 15, we can break it down into smaller steps:\n\n1. Add 72 and 43: \n - 72 + 43 = 115\n - This is because 43 comes after 72 in the number line, so we start from 72 and end at 43.\n\n2. Add 115 and 24:\n - 115 + 24 = 139\n - Since 24 is adde...
112
{"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...
109
{"gen_args_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 [54, 16, 87, 92], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 54 \\\\times 16 \\\\times 87 \\\\times 92 \\\\) step by step, we can break it down into simpler multiplications.\\n\\nFirst, let's multiply 54 and 16:\\n\\n\\\\[\\n54 \\\\times 16 = 864\\n\\\\]\\n\\nNext, we need to multiply the result by 87:\\n\\n\\\\[\\n864 \\\\times 87...
["{'generation': \"To solve the equation \\\\( 54 \\\\times 16 \\\\times 87 \\\\times 92 \\\\) step by step, we can break it down into simpler multiplications.\\n\\nFirst, let's multiply 54 and 16:\\n\\n\\\\[\\n54 \\\\times 16 = 864\\n\\\\]\\n\\nNext, we need to multiply the result by 87:\\n\\n\\\\[\\n864 \\\\times 87\...
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d8c97b6659b4f51b85676b931ed929c2c0fb3c1eab2908da9114903c1dda07cb
0fd42b3f73c448b34940b339f87d07adf116b05c0227aad72e8f0ee90533e699
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 54 \\times 16 \\times 87 \\times 92 \\) step by step, we can break it down into simpler multiplications.\n\nFirst, let's multiply 54 and 16:\n\n\\[\n54 \\times 16 = 864\n\\]\n\nNext, we need to multiply the result by 87:\n\n\\[\n864 \\times 87\n\\]\n\nTo do this, we can break it down further...
[{"budget_forced_chunks": ["To solve the equation \\( 54 \\times 16 \\times 87 \\times 92 \\) step by step, we can break it down into simpler multiplications.\n\nFirst, let's multiply 54 and 16:\n\n\\[\n54 \\times 16 = 864\n\\]\n\nNext, we need to multiply the result by 87:\n\n\\[\n864 \\times 87\n\\]\n\nTo do this, we...
113
{"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...
742
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [10, 41, 21, 68], create an equation that equals 742. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 10 + 41 + 21 + 68, we can break it down into smaller steps:\\n\\n1. First, add 10 and 41:\\n \\\\[\\n 10 + 41 = 51\\n \\\\]\\n\\n2. Next, add 51 and 21:\\n \\\\[\\n 51 + 21 = 72\\n \\\\]\\n\\n3. Finally, add 72 and 68:\\n \\\\[\\n 72 + 68 = 140\\n \\\\...
["{'generation': \"To solve the addition problem 10 + 41 + 21 + 68, we can break it down into smaller steps:\\n\\n1. First, add 10 and 41:\\n \\\\[\\n 10 + 41 = 51\\n \\\\]\\n\\n2. Next, add 51 and 21:\\n \\\\[\\n 51 + 21 = 72\\n \\\\]\\n\\n3. Finally, add 72 and 68:\\n \\\\[\\n 72 + 68 = 140\\n \\\\]...
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05dac6ec3a6f3dc780005adada3811bd90a4c237add1eb4d30237a3fe6655a49
ccbcd0d62f439eacea8b0fa4139d934d2782bae1b8046e8764e598dc64a9f421
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 10 + 41 + 21 + 68, we can break it down into smaller steps:\n\n1. First, add 10 and 41:\n \\[\n 10 + 41 = 51\n \\]\n\n2. Next, add 51 and 21:\n \\[\n 51 + 21 = 72\n \\]\n\n3. Finally, add 72 and 68:\n \\[\n 72 + 68 = 140\n \\]\n\nSo, the solution to the addition problem...
[{"budget_forced_chunks": ["To solve the addition problem 10 + 41 + 21 + 68, we can break it down into smaller steps:\n\n1. First, add 10 and 41:\n \\[\n 10 + 41 = 51\n \\]\n\n2. Next, add 51 and 21:\n \\[\n 51 + 21 = 72\n \\]\n\n3. Finally, add 72 and 68:\n \\[\n 72 + 68 = 140\n \\]\n\nSo, the soluti...
114
{"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...
946
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [27, 96, 10, 41], create an equation that equals 946. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem \\\\(27 + 96 + 10 + 41\\\\), we will break it down into smaller steps of addition:\\n\\n1. Add the first pair of numbers:\\n \\\\[\\n 27 + 96 = 123\\n \\\\]\\n\\n2. Add the second pair of numbers:\\n \\\\[\\n 123 + 10 = 133\\n \\\\]\\n\\n3. Add the third pai...
["{'generation': \"To solve the addition problem \\\\(27 + 96 + 10 + 41\\\\), we will break it down into smaller steps of addition:\\n\\n1. Add the first pair of numbers:\\n \\\\[\\n 27 + 96 = 123\\n \\\\]\\n\\n2. Add the second pair of numbers:\\n \\\\[\\n 123 + 10 = 133\\n \\\\]\\n\\n3. Add the third pair...
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7dc6a9d452b135e3021143273eef3dd7359de1edce73d84a787606edfae084c8
fb335e8fd0f8aed3eb6ffedd7fca08259d3f25bb14066536c978fbc96c4f75fd
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\(27 + 96 + 10 + 41\\), we will break it down into smaller steps of addition:\n\n1. Add the first pair of numbers:\n \\[\n 27 + 96 = 123\n \\]\n\n2. Add the second pair of numbers:\n \\[\n 123 + 10 = 133\n \\]\n\n3. Add the third pair of numbers:\n \\[\n 133 + 41 = 174\n...
[{"budget_forced_chunks": ["To solve the addition problem \\(27 + 96 + 10 + 41\\), we will break it down into smaller steps of addition:\n\n1. Add the first pair of numbers:\n \\[\n 27 + 96 = 123\n \\]\n\n2. Add the second pair of numbers:\n \\[\n 123 + 10 = 133\n \\]\n\n3. Add the third pair of numbers:\n ...
115
{"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...
116
{"gen_args_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, 91, 10, 7], create an equation that equals 116. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the addition problem \\\\( 8 + 91 + 10 + 7 \\\\), we can break it down into simpler steps:\\n\\n1. **Sum the units place:**\\n - \\\\( 7 \\\\)\\n Add this to the next number in the sequence.\\n\\n2. **Sum the tens place:**\\n - \\\\( 1 \\\\) (from 10)\\n - \\\\( 9 \\\\) (from 91)\\n...
["{'generation': \"To solve the addition problem \\\\( 8 + 91 + 10 + 7 \\\\), we can break it down into simpler steps:\\n\\n1. **Sum the units place:**\\n - \\\\( 7 \\\\)\\n Add this to the next number in the sequence.\\n\\n2. **Sum the tens place:**\\n - \\\\( 1 \\\\) (from 10)\\n - \\\\( 9 \\\\) (from 91)\\n ...
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70b5b15be2d8fb9aafd5f15eee93c0261382135e892d9dba10d57d66fdfd4bf5
e5b861a6d8a966dfca7e7341cd3eb6be9901688d547a72ebed0b1f5e14f3d08d
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\( 8 + 91 + 10 + 7 \\), we can break it down into simpler steps:\n\n1. **Sum the units place:**\n - \\( 7 \\)\n Add this to the next number in the sequence.\n\n2. **Sum the tens place:**\n - \\( 1 \\) (from 10)\n - \\( 9 \\) (from 91)\n Add these two numbers.\n\n3. **Add the c...
[{"budget_forced_chunks": ["To solve the addition problem \\( 8 + 91 + 10 + 7 \\), we can break it down into simpler steps:\n\n1. **Sum the units place:**\n - \\( 7 \\)\n Add this to the next number in the sequence.\n\n2. **Sum the tens place:**\n - \\( 1 \\) (from 10)\n - \\( 9 \\) (from 91)\n Add these two ...
116
{"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...
474
{"gen_args_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, 90, 24, 8], create an equation that equals 474. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem 68 + 90 + 24 + 8, let's break it down into steps:\\n\\n1. First, add 68 and 90:\\n 68 + 90 = 158\\n\\n2. Then, add 158 and 24:\\n 158 + 24 = 182\\n\\n3. Finally, add 182 and 8:\\n 182 + 8 = 190\\n\\nSo, the solution to the addition problem 68 + 90 + 24 + 8 is <ans...
["{'generation': \"To solve the addition problem 68 + 90 + 24 + 8, let's break it down into steps:\\n\\n1. First, add 68 and 90:\\n 68 + 90 = 158\\n\\n2. Then, add 158 and 24:\\n 158 + 24 = 182\\n\\n3. Finally, add 182 and 8:\\n 182 + 8 = 190\\n\\nSo, the solution to the addition problem 68 + 90 + 24 + 8 is <answ...
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55d6570ee0feaf3b0d7b57153e0351e931a1956a3640dcaf5b51267dfcd36af9
98144d79af44407273f26589afc01901b7b296deada61a4740b0d404c5043c53
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 68 + 90 + 24 + 8, let's break it down into steps:\n\n1. First, add 68 and 90:\n 68 + 90 = 158\n\n2. Then, add 158 and 24:\n 158 + 24 = 182\n\n3. Finally, add 182 and 8:\n 182 + 8 = 190\n\nSo, the solution to the addition problem 68 + 90 + 24 + 8 is <answer>190</answer>.\n\nIs this ...
[{"budget_forced_chunks": ["To solve the addition problem 68 + 90 + 24 + 8, let's break it down into steps:\n\n1. First, add 68 and 90:\n 68 + 90 = 158\n\n2. Then, add 158 and 24:\n 158 + 24 = 182\n\n3. Finally, add 182 and 8:\n 182 + 8 = 190\n\nSo, the solution to the addition problem 68 + 90 + 24 + 8 is <answer...
117
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
161
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [12, 27, 42, 80], create an equation that equals 161. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation 12 * 27 + 42 - 80 = 161, we can break it down into simpler steps:\\n\\n1. First, let's multiply 12 by 27:\\n 12 * 27 = 324\\n\\n2. Next, add 42 to the product from step 1:\\n 324 + 42 = 366\\n\\n3. Finally, subtract 80 from the product from step 2:\\n 366 - 80 = 286\\n\\n...
["{'generation': \"To solve the equation 12 * 27 + 42 - 80 = 161, we can break it down into simpler steps:\\n\\n1. First, let's multiply 12 by 27:\\n 12 * 27 = 324\\n\\n2. Next, add 42 to the product from step 1:\\n 324 + 42 = 366\\n\\n3. Finally, subtract 80 from the product from step 2:\\n 366 - 80 = 286\\n\\nT...
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6ab796295b52dd353979daa884740c22ad7da0e4aff7d942ffee15c5135c25ff
bb668ca95563216088b98a62557fa1e26802563f3919ac78ae30533bb9ed422c
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 12 * 27 + 42 - 80 = 161, we can break it down into simpler steps:\n\n1. First, let's multiply 12 by 27:\n 12 * 27 = 324\n\n2. Next, add 42 to the product from step 1:\n 324 + 42 = 366\n\n3. Finally, subtract 80 from the product from step 2:\n 366 - 80 = 286\n\nTherefore, the solution to th...
[{"budget_forced_chunks": ["To solve the equation 12 * 27 + 42 - 80 = 161, we can break it down into simpler steps:\n\n1. First, let's multiply 12 by 27:\n 12 * 27 = 324\n\n2. Next, add 42 to the product from step 1:\n 324 + 42 = 366\n\n3. Finally, subtract 80 from the product from step 2:\n 366 - 80 = 286\n\nThe...
118
{"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...
257
{"gen_args_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 [54, 59, 48, 96], create an equation that equals 257. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(54 \\\\times 59 - 48 \\\\times 96\\\\), we can break it down into simpler steps.\\n\\n### Step 1: Break down the multiplication\\nFirst, let's break down the multiplication of \\\\(54\\\\) and \\\\(59\\\\):\\n\\n\\\\[\\n54 \\\\times 59 = 54 \\\\times (60 - 1) = 54 \\\\time...
["{'generation': \"To solve the equation \\\\(54 \\\\times 59 - 48 \\\\times 96\\\\), we can break it down into simpler steps.\\n\\n### Step 1: Break down the multiplication\\nFirst, let's break down the multiplication of \\\\(54\\\\) and \\\\(59\\\\):\\n\\n\\\\[\\n54 \\\\times 59 = 54 \\\\times (60 - 1) = 54 \\\\times...
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4c970004b0678d439f177e77d3cabdb7e9a44df770948ddc2467cbc76b7211c3
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(54 \\times 59 - 48 \\times 96\\), we can break it down into simpler steps.\n\n### Step 1: Break down the multiplication\nFirst, let's break down the multiplication of \\(54\\) and \\(59\\):\n\n\\[\n54 \\times 59 = 54 \\times (60 - 1) = 54 \\times 60 - 54 \\times 1\n\\]\n\nCalculate each part:...
[{"budget_forced_chunks": ["To solve the equation \\(54 \\times 59 - 48 \\times 96\\), we can break it down into simpler steps.\n\n### Step 1: Break down the multiplication\nFirst, let's break down the multiplication of \\(54\\) and \\(59\\):\n\n\\[\n54 \\times 59 = 54 \\times (60 - 1) = 54 \\times 60 - 54 \\times 1\n\...
119
{"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 [67, 34, 86, 86], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the problem of adding 67 and 34 using only basic arithmetic operations and each number only once, we could follow these steps:\\n\\n1. Add the tens place of the first number (60) to the tens place of the second number (30):\\n 60 + 30 = 90\\n\\n2. Add the units place of the first number (...
["{'generation': \"To solve the problem of adding 67 and 34 using only basic arithmetic operations and each number only once, we could follow these steps:\\n\\n1. Add the tens place of the first number (60) to the tens place of the second number (30):\\n 60 + 30 = 90\\n\\n2. Add the units place of the first number (7...
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16dc368a89b428b2485484313ba67a3912ca03f2b2b42429174a4f8b3dc84e44
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 67 and 34 using only basic arithmetic operations and each number only once, we could follow these steps:\n\n1. Add the tens place of the first number (60) to the tens place of the second number (30):\n 60 + 30 = 90\n\n2. Add the units place of the first number (7) to the tens place of...
[{"budget_forced_chunks": ["To solve the problem of adding 67 and 34 using only basic arithmetic operations and each number only once, we could follow these steps:\n\n1. Add the tens place of the first number (60) to the tens place of the second number (30):\n 60 + 30 = 90\n\n2. Add the units place of the first numbe...
120
{"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 [72, 68, 55, 71], create an equation that equals 122. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(72 \\\\times 68 \\\\times 55 \\\\times 71\\\\), we can break it down into simpler multiplications:\\n\\n1. First, let's multiply 72 and 68:\\n \\\\[\\n 72 \\\\times 68 = 72 \\\\times (60 + 8) = (72 \\\\times 60) + (72 \\\\times 8)\\n \\\\]\\n \\\\[\\n 72 \\\\time...
["{'generation': \"To solve the equation \\\\(72 \\\\times 68 \\\\times 55 \\\\times 71\\\\), we can break it down into simpler multiplications:\\n\\n1. First, let's multiply 72 and 68:\\n \\\\[\\n 72 \\\\times 68 = 72 \\\\times (60 + 8) = (72 \\\\times 60) + (72 \\\\times 8)\\n \\\\]\\n \\\\[\\n 72 \\\\times...
9f9b4df11ad953056b1e282fb45ab02efcc35f9afce2330cbc1ea2a0c5d2a2bd
4512adc321ffc665cc0e45c123e537121b70441f91bbe64b0d9c3933abd978bf
1be00341082e25c4e251ca6713e767f7131a2823b0052caf9c9b006ec512f6cb
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(72 \\times 68 \\times 55 \\times 71\\), we can break it down into simpler multiplications:\n\n1. First, let's multiply 72 and 68:\n \\[\n 72 \\times 68 = 72 \\times (60 + 8) = (72 \\times 60) + (72 \\times 8)\n \\]\n \\[\n 72 \\times 60 = 4320\n \\]\n \\[\n 72 \\times 8 = 576\...
[{"budget_forced_chunks": ["To solve the equation \\(72 \\times 68 \\times 55 \\times 71\\), we can break it down into simpler multiplications:\n\n1. First, let's multiply 72 and 68:\n \\[\n 72 \\times 68 = 72 \\times (60 + 8) = (72 \\times 60) + (72 \\times 8)\n \\]\n \\[\n 72 \\times 60 = 4320\n \\]\n \...
121
{"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...
187
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [5, 1, 3, 48], create an equation that equals 187. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work ...
[["{'generation': \"To solve the multiplication problem \\\\( 5 \\\\times 1 \\\\times 3 \\\\times 48 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down the multiplication:**\\n \\\\[\\n 5 \\\\times 1 \\\\times 3 \\\\times 48\\n \\\\]\\n\\n2. **Use the distributive property:**\\n We can group t...
["{'generation': \"To solve the multiplication problem \\\\( 5 \\\\times 1 \\\\times 3 \\\\times 48 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down the multiplication:**\\n \\\\[\\n 5 \\\\times 1 \\\\times 3 \\\\times 48\\n \\\\]\\n\\n2. **Use the distributive property:**\\n We can group th...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 5 \\times 1 \\times 3 \\times 48 \\), we can break it down into simpler steps:\n\n1. **Break down the multiplication:**\n \\[\n 5 \\times 1 \\times 3 \\times 48\n \\]\n\n2. **Use the distributive property:**\n We can group the numbers into:\n \\[\n (5 \\times 1) \\t...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 5 \\times 1 \\times 3 \\times 48 \\), we can break it down into simpler steps:\n\n1. **Break down the multiplication:**\n \\[\n 5 \\times 1 \\times 3 \\times 48\n \\]\n\n2. **Use the distributive property:**\n We can group the numbers into:\n ...
122
{"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...
196
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [84, 41, 27, 98], create an equation that equals 196. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(84 \\\\times 41 - 27 \\\\times 98\\\\), we can break it down into simpler steps.\\n\\n### Step 1: Break down 41 into 40 + 1\\n\\\\[ 41 = 40 + 1 \\\\]\\n\\n### Step 2: Break down 98 into 100 - 2\\n\\\\[ 98 = 100 - 2 \\\\]\\n\\n### Step 3: Apply distributive property\\n\\\\[...
["{'generation': \"To solve the equation \\\\(84 \\\\times 41 - 27 \\\\times 98\\\\), we can break it down into simpler steps.\\n\\n### Step 1: Break down 41 into 40 + 1\\n\\\\[ 41 = 40 + 1 \\\\]\\n\\n### Step 2: Break down 98 into 100 - 2\\n\\\\[ 98 = 100 - 2 \\\\]\\n\\n### Step 3: Apply distributive property\\n\\\\[ ...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(84 \\times 41 - 27 \\times 98\\), we can break it down into simpler steps.\n\n### Step 1: Break down 41 into 40 + 1\n\\[ 41 = 40 + 1 \\]\n\n### Step 2: Break down 98 into 100 - 2\n\\[ 98 = 100 - 2 \\]\n\n### Step 3: Apply distributive property\n\\[ 84 \\times (40 + 1) = (84 \\times 40) + (84 ...
[{"budget_forced_chunks": ["To solve the equation \\(84 \\times 41 - 27 \\times 98\\), we can break it down into simpler steps.\n\n### Step 1: Break down 41 into 40 + 1\n\\[ 41 = 40 + 1 \\]\n\n### Step 2: Break down 98 into 100 - 2\n\\[ 98 = 100 - 2 \\]\n\n### Step 3: Apply distributive property\n\\[ 84 \\times (40 + 1...
123
{"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 [79, 97, 8, 21], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\(79 \\\\times 97 \\\\times 8 \\\\times 21\\\\) step by step, we can break it down into simpler multiplications.\\n\\nFirst, let's multiply 79 and 97:\\n\\n\\\\[79 \\\\times 97\\\\]\\n\\nThis can be calculated by:\\n\\n\\\\[79 \\\\times 100 = 7900\\\\]\\n\\\\[79 \\\\times 1 ...
["{'generation': \"To solve the equation \\\\(79 \\\\times 97 \\\\times 8 \\\\times 21\\\\) step by step, we can break it down into simpler multiplications.\\n\\nFirst, let's multiply 79 and 97:\\n\\n\\\\[79 \\\\times 97\\\\]\\n\\nThis can be calculated by:\\n\\n\\\\[79 \\\\times 100 = 7900\\\\]\\n\\\\[79 \\\\times 1 =...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(79 \\times 97 \\times 8 \\times 21\\) step by step, we can break it down into simpler multiplications.\n\nFirst, let's multiply 79 and 97:\n\n\\[79 \\times 97\\]\n\nThis can be calculated by:\n\n\\[79 \\times 100 = 7900\\]\n\\[79 \\times 1 = 79\\]\n\\[7900 + 79 = 8079\\]\n\nNext, we multiply ...
[{"budget_forced_chunks": ["To solve the equation \\(79 \\times 97 \\times 8 \\times 21\\) step by step, we can break it down into simpler multiplications.\n\nFirst, let's multiply 79 and 97:\n\n\\[79 \\times 97\\]\n\nThis can be calculated by:\n\n\\[79 \\times 100 = 7900\\]\n\\[79 \\times 1 = 79\\]\n\\[7900 + 79 = 807...
124
{"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...
121
{"gen_args_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, 42, 7, 1], create an equation that equals 121. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the equation \\\\(72 \\\\times 42 + 7 - 1\\\\), let's break it down step by step:\\n\\n1. **First, calculate \\\\(72 \\\\times 42\\\\):**\\n \\\\[\\n 72 \\\\times 42 = 72 \\\\times (40 + 2) = 72 \\\\times 40 + 72 \\\\times 2 = 2880 + 144 = 2884\\n \\\\]\\n\\n2. **Next, add 7 to the re...
["{'generation': \"To solve the equation \\\\(72 \\\\times 42 + 7 - 1\\\\), let's break it down step by step:\\n\\n1. **First, calculate \\\\(72 \\\\times 42\\\\):**\\n \\\\[\\n 72 \\\\times 42 = 72 \\\\times (40 + 2) = 72 \\\\times 40 + 72 \\\\times 2 = 2880 + 144 = 2884\\n \\\\]\\n\\n2. **Next, add 7 to the res...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(72 \\times 42 + 7 - 1\\), let's break it down step by step:\n\n1. **First, calculate \\(72 \\times 42\\):**\n \\[\n 72 \\times 42 = 72 \\times (40 + 2) = 72 \\times 40 + 72 \\times 2 = 2880 + 144 = 2884\n \\]\n\n2. **Next, add 7 to the result from Step 1:**\n \\[\n 2884 + 7 = 2891\n...
[{"budget_forced_chunks": ["To solve the equation \\(72 \\times 42 + 7 - 1\\), let's break it down step by step:\n\n1. **First, calculate \\(72 \\times 42\\):**\n \\[\n 72 \\times 42 = 72 \\times (40 + 2) = 72 \\times 40 + 72 \\times 2 = 2880 + 144 = 2884\n \\]\n\n2. **Next, add 7 to the result from Step 1:**\n ...
125
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
149
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [83, 53, 18, 31], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(83 \\\\times 53 - 18 \\\\times 31\\\\), we will follow the standard algorithm for multiplication and then subtract the result from the initial equation. However, in this case, we will skip the subtraction step and directly show the multiplication result:\\n\\nStep 1: \\\\(...
["{'generation': \"To solve the equation \\\\(83 \\\\times 53 - 18 \\\\times 31\\\\), we will follow the standard algorithm for multiplication and then subtract the result from the initial equation. However, in this case, we will skip the subtraction step and directly show the multiplication result:\\n\\nStep 1: \\\\(8...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(83 \\times 53 - 18 \\times 31\\), we will follow the standard algorithm for multiplication and then subtract the result from the initial equation. However, in this case, we will skip the subtraction step and directly show the multiplication result:\n\nStep 1: \\(83 \\times 53 = 4379\\)\n\nSte...
[{"budget_forced_chunks": ["To solve the equation \\(83 \\times 53 - 18 \\times 31\\), we will follow the standard algorithm for multiplication and then subtract the result from the initial equation. However, in this case, we will skip the subtraction step and directly show the multiplication result:\n\nStep 1: \\(83 \...
126
{"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 [2, 5, 27, 77], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the equation \\\\(101\\\\) using the numbers \\\\[2, 5, 27, 77\\\\], we can follow these steps:\\n\\n1. **Break down the multiplication**:\\n - First, multiply \\\\(27\\\\) by \\\\(7\\\\):\\n \\\\[\\n 27 \\\\times 7 = 189\\n \\\\]\\n - Then, multiply \\\\(27\\\\) by \\\\(1\\...
["{'generation': \"To solve the equation \\\\(101\\\\) using the numbers \\\\[2, 5, 27, 77\\\\], we can follow these steps:\\n\\n1. **Break down the multiplication**:\\n - First, multiply \\\\(27\\\\) by \\\\(7\\\\):\\n \\\\[\\n 27 \\\\times 7 = 189\\n \\\\]\\n - Then, multiply \\\\(27\\\\) by \\\\(1\\\...
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16dc368a89b428b2485484313ba67a3912ca03f2b2b42429174a4f8b3dc84e44
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(101\\) using the numbers \\[2, 5, 27, 77\\], we can follow these steps:\n\n1. **Break down the multiplication**:\n - First, multiply \\(27\\) by \\(7\\):\n \\[\n 27 \\times 7 = 189\n \\]\n - Then, multiply \\(27\\) by \\(1\\) (i.e., just \\(27\\)):\n \\[\n 27 \\times 1...
[{"budget_forced_chunks": ["To solve the equation \\(101\\) using the numbers \\[2, 5, 27, 77\\], we can follow these steps:\n\n1. **Break down the multiplication**:\n - First, multiply \\(27\\) by \\(7\\):\n \\[\n 27 \\times 7 = 189\n \\]\n - Then, multiply \\(27\\) by \\(1\\) (i.e., just \\(27\\)):\n ...
127
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
154
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [2, 90, 35, 97], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 290 \\\\times 35 \\\\) step by step:\\n\\n1. **Break down the multiplication:**\\n - First, multiply the units digit of 290 (which is 0) by the units digit of 35 (which is 5):\\n \\\\[\\n 0 \\\\times 5 = 0\\n \\\\]\\n - Next, multiply the tens digit of 290...
["{'generation': \"To solve the equation \\\\( 290 \\\\times 35 \\\\) step by step:\\n\\n1. **Break down the multiplication:**\\n - First, multiply the units digit of 290 (which is 0) by the units digit of 35 (which is 5):\\n \\\\[\\n 0 \\\\times 5 = 0\\n \\\\]\\n - Next, multiply the tens digit of 290 ...
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1d0ebea552eb43d0b1e1561f6de8ae92e3de7f1abec52399244d1caed7dbdfa6
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 290 \\times 35 \\) step by step:\n\n1. **Break down the multiplication:**\n - First, multiply the units digit of 290 (which is 0) by the units digit of 35 (which is 5):\n \\[\n 0 \\times 5 = 0\n \\]\n - Next, multiply the tens digit of 290 (which is 2) by the units digit of 3...
[{"budget_forced_chunks": ["To solve the equation \\( 290 \\times 35 \\) step by step:\n\n1. **Break down the multiplication:**\n - First, multiply the units digit of 290 (which is 0) by the units digit of 35 (which is 5):\n \\[\n 0 \\times 5 = 0\n \\]\n - Next, multiply the tens digit of 290 (which is ...
128
{"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 [44, 3, 32, 39], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the multiplication problem \\\\( 44 \\\\times 3 \\\\times 32 \\\\times 39 \\\\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\\n\\n### Step 1: Break down 39 into 30 and 9\\n\\\\[ 39 = 30 + 9 \\\\]\\n\\n### Step 2: Calculate \\\\( 44 \\\\tim...
["{'generation': \"To solve the multiplication problem \\\\( 44 \\\\times 3 \\\\times 32 \\\\times 39 \\\\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\\n\\n### Step 1: Break down 39 into 30 and 9\\n\\\\[ 39 = 30 + 9 \\\\]\\n\\n### Step 2: Calculate \\\\( 44 \\\\time...
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7045d16ae7f043ec25774a0a85d6f479e5bb019e9c5a1584bc76736d116b8f33
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 44 \\times 3 \\times 32 \\times 39 \\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\n\n### Step 1: Break down 39 into 30 and 9\n\\[ 39 = 30 + 9 \\]\n\n### Step 2: Calculate \\( 44 \\times 30 \\)\n\\[ 44 \\times 30 = 44 \\times...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 44 \\times 3 \\times 32 \\times 39 \\), we can break it down into smaller steps for easier calculation. Here's a step-by-step approach:\n\n### Step 1: Break down 39 into 30 and 9\n\\[ 39 = 30 + 9 \\]\n\n### Step 2: Calculate \\( 44 \\times 30 \\)\n\\[ ...
129
{"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...
167
{"gen_args_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, 55, 20, 81], create an equation that equals 167. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation 51 + 55 - 20 * 81, we follow the standard order of operations (PEMDAS/BODMAS) to ensure we perform the calculations correctly. Here\u2019s the step-by-step breakdown:\\n\\n1. **Multiply (\u00d7)**: First, we multiply 51 by 55.\\n \\\\[\\n 51 \\\\times 55 = 2755\\n \\\\]\\...
["{'generation': \"To solve the equation 51 + 55 - 20 * 81, we follow the standard order of operations (PEMDAS/BODMAS) to ensure we perform the calculations correctly. Here\u2019s the step-by-step breakdown:\\n\\n1. **Multiply (\u00d7)**: First, we multiply 51 by 55.\\n \\\\[\\n 51 \\\\times 55 = 2755\\n \\\\]\\n...
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73d3f1ba062585bce51f77d70a26be88c44b55d70f81b8bd7e2ded030ca4454a
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 51 + 55 - 20 * 81, we follow the standard order of operations (PEMDAS/BODMAS) to ensure we perform the calculations correctly. Here\u2019s the step-by-step breakdown:\n\n1. **Multiply (\u00d7)**: First, we multiply 51 by 55.\n \\[\n 51 \\times 55 = 2755\n \\]\n\n2. **Add (++)**: Next, we a...
[{"budget_forced_chunks": ["To solve the equation 51 + 55 - 20 * 81, we follow the standard order of operations (PEMDAS/BODMAS) to ensure we perform the calculations correctly. Here\u2019s the step-by-step breakdown:\n\n1. **Multiply (\u00d7)**: First, we multiply 51 by 55.\n \\[\n 51 \\times 55 = 2755\n \\]\n\n2...
130
{"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...
244
{"gen_args_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, 99, 80, 59], create an equation that equals 244. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the problem of multiplying 6, 99, 80, and 59 to get 244, we will follow the steps below:\\n\\n1. First, we will add 1 and 2:\\n <answer>\\n 1 + 2 = 3\\n </answer>\\n\\n2. Then, we will divide 3 by 3:\\n <answer>\\n 3 / 3 = 1\\n </answer>\\n\\n3. Next, we will use the result from...
["{'generation': \"To solve the problem of multiplying 6, 99, 80, and 59 to get 244, we will follow the steps below:\\n\\n1. First, we will add 1 and 2:\\n <answer>\\n 1 + 2 = 3\\n </answer>\\n\\n2. Then, we will divide 3 by 3:\\n <answer>\\n 3 / 3 = 1\\n </answer>\\n\\n3. Next, we will use the result from ...
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82c01ce15b431d420eb6a1febfba7d7a2b69e5bcdcb929cb42cd3e9179d43fc4
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of multiplying 6, 99, 80, and 59 to get 244, we will follow the steps below:\n\n1. First, we will add 1 and 2:\n <answer>\n 1 + 2 = 3\n </answer>\n\n2. Then, we will divide 3 by 3:\n <answer>\n 3 / 3 = 1\n </answer>\n\n3. Next, we will use the result from step 2 as the new number to m...
[{"budget_forced_chunks": ["To solve the problem of multiplying 6, 99, 80, and 59 to get 244, we will follow the steps below:\n\n1. First, we will add 1 and 2:\n <answer>\n 1 + 2 = 3\n </answer>\n\n2. Then, we will divide 3 by 3:\n <answer>\n 3 / 3 = 1\n </answer>\n\n3. Next, we will use the result from ste...
131
{"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...
771
{"gen_args_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, 97, 22, 78], create an equation that equals 771. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 43 \\\\times 97 \\\\times 22 \\\\times 78 = 771 \\\\) step by step:\\n\\n1. **Break down the multiplication into smaller, more manageable parts:**\\n - First, calculate \\\\( 43 \\\\times 22 \\\\).\\n - Then, calculate \\\\( 97 \\\\times 22 \\\\).\\n - Next, calcula...
["{'generation': \"To solve the equation \\\\( 43 \\\\times 97 \\\\times 22 \\\\times 78 = 771 \\\\) step by step:\\n\\n1. **Break down the multiplication into smaller, more manageable parts:**\\n - First, calculate \\\\( 43 \\\\times 22 \\\\).\\n - Then, calculate \\\\( 97 \\\\times 22 \\\\).\\n - Next, calculat...
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0fbc9039145b6449a7765dcc00d3bd8377d93ac8cccda9f0292b5976e6d67c75
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 43 \\times 97 \\times 22 \\times 78 = 771 \\) step by step:\n\n1. **Break down the multiplication into smaller, more manageable parts:**\n - First, calculate \\( 43 \\times 22 \\).\n - Then, calculate \\( 97 \\times 22 \\).\n - Next, calculate \\( 43 \\times 78 \\).\n - Finally, calc...
[{"budget_forced_chunks": ["To solve the equation \\( 43 \\times 97 \\times 22 \\times 78 = 771 \\) step by step:\n\n1. **Break down the multiplication into smaller, more manageable parts:**\n - First, calculate \\( 43 \\times 22 \\).\n - Then, calculate \\( 97 \\times 22 \\).\n - Next, calculate \\( 43 \\times 7...
132
{"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 [84, 21, 85, 21], create an equation that equals 319. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation 84 + 21 - 85 + 21 = 319 using the given numbers, we can follow these steps:\\n\\n1. First, add 84 and 21:\\n 84 + 21 = 105\\n\\n2. Then, subtract 85 from the result:\\n 105 - 85 = 20\\n\\n3. Finally, add 21 to the result:\\n 20 + 21 = 419\\n\\nSo, the equation 84 + 21 - 8...
["{'generation': \"To solve the equation 84 + 21 - 85 + 21 = 319 using the given numbers, we can follow these steps:\\n\\n1. First, add 84 and 21:\\n 84 + 21 = 105\\n\\n2. Then, subtract 85 from the result:\\n 105 - 85 = 20\\n\\n3. Finally, add 21 to the result:\\n 20 + 21 = 419\\n\\nSo, the equation 84 + 21 - 85...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 84 + 21 - 85 + 21 = 319 using the given numbers, we can follow these steps:\n\n1. First, add 84 and 21:\n 84 + 21 = 105\n\n2. Then, subtract 85 from the result:\n 105 - 85 = 20\n\n3. Finally, add 21 to the result:\n 20 + 21 = 419\n\nSo, the equation 84 + 21 - 85 + 21 = 319 is true.\n\nIs t...
[{"budget_forced_chunks": ["To solve the equation 84 + 21 - 85 + 21 = 319 using the given numbers, we can follow these steps:\n\n1. First, add 84 and 21:\n 84 + 21 = 105\n\n2. Then, subtract 85 from the result:\n 105 - 85 = 20\n\n3. Finally, add 21 to the result:\n 20 + 21 = 419\n\nSo, the equation 84 + 21 - 85 +...
133
{"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 [9, 37, 6, 95], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the equation \\\\(9 \\\\times 37 \\\\times 6 \\\\times 95\\\\) step by step:\\n\\n1. **Break down the multiplication into smaller, more manageable parts:**\\n - First, multiply 9 and 37.\\n - Then, multiply the result by 6.\\n - Finally, multiply the result by 95.\\n\\n2. **Calculate ...
["{'generation': \"To solve the equation \\\\(9 \\\\times 37 \\\\times 6 \\\\times 95\\\\) step by step:\\n\\n1. **Break down the multiplication into smaller, more manageable parts:**\\n - First, multiply 9 and 37.\\n - Then, multiply the result by 6.\\n - Finally, multiply the result by 95.\\n\\n2. **Calculate e...
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6566230e3a3ce3774c1bbc7c18b590ae0f457bbcd511e90e3e7dca2a02e7addc
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(9 \\times 37 \\times 6 \\times 95\\) step by step:\n\n1. **Break down the multiplication into smaller, more manageable parts:**\n - First, multiply 9 and 37.\n - Then, multiply the result by 6.\n - Finally, multiply the result by 95.\n\n2. **Calculate each part:**\n - \\(9 \\times 37\...
[{"budget_forced_chunks": ["To solve the equation \\(9 \\times 37 \\times 6 \\times 95\\) step by step:\n\n1. **Break down the multiplication into smaller, more manageable parts:**\n - First, multiply 9 and 37.\n - Then, multiply the result by 6.\n - Finally, multiply the result by 95.\n\n2. **Calculate each part...
134
{"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...
201
{"gen_args_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, 34, 79, 5], create an equation that equals 201. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 93 \\\\times 34 \\\\times 79 \\\\times 5 \\\\) using the given numbers, we can break it down into simpler steps:\\n\\n1. **Break down the multiplication into smaller parts:**\\n - First, multiply \\\\( 93 \\\\times 3 \\\\)\\n - Then, multiply the result by \\\\( 4 \\\...
["{'generation': \"To solve the equation \\\\( 93 \\\\times 34 \\\\times 79 \\\\times 5 \\\\) using the given numbers, we can break it down into simpler steps:\\n\\n1. **Break down the multiplication into smaller parts:**\\n - First, multiply \\\\( 93 \\\\times 3 \\\\)\\n - Then, multiply the result by \\\\( 4 \\\\...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 93 \\times 34 \\times 79 \\times 5 \\) using the given numbers, we can break it down into simpler steps:\n\n1. **Break down the multiplication into smaller parts:**\n - First, multiply \\( 93 \\times 3 \\)\n - Then, multiply the result by \\( 4 \\)\n - Next, multiply \\( 79 \\times 5 \...
[{"budget_forced_chunks": ["To solve the equation \\( 93 \\times 34 \\times 79 \\times 5 \\) using the given numbers, we can break it down into simpler steps:\n\n1. **Break down the multiplication into smaller parts:**\n - First, multiply \\( 93 \\times 3 \\)\n - Then, multiply the result by \\( 4 \\)\n - Next, m...
135
{"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...
718
{"gen_args_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 [9, 76, 21, 13], create an equation that equals 718. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\(9 \\\\times 76 \\\\times 21 - 13\\\\), we can break it down into simpler steps by using the distributive property of multiplication.\\n\\nFirst, let's rewrite the multiplication part:\\n\\n\\\\[9 \\\\times 76 \\\\times 21\\\\]\\n\\nWe can split 76 into 70 + 6, so:\\n\\n\\\...
["{'generation': \"To solve the equation \\\\(9 \\\\times 76 \\\\times 21 - 13\\\\), we can break it down into simpler steps by using the distributive property of multiplication.\\n\\nFirst, let's rewrite the multiplication part:\\n\\n\\\\[9 \\\\times 76 \\\\times 21\\\\]\\n\\nWe can split 76 into 70 + 6, so:\\n\\n\\\\...
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6c0f3412848008d49d186d5fad7fd1482656cfb62ad3c060a14e41c3fb3f1b43
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(9 \\times 76 \\times 21 - 13\\), we can break it down into simpler steps by using the distributive property of multiplication.\n\nFirst, let's rewrite the multiplication part:\n\n\\[9 \\times 76 \\times 21\\]\n\nWe can split 76 into 70 + 6, so:\n\n\\[9 \\times (70 + 6) \\times 21\\]\n\nNow, w...
[{"budget_forced_chunks": ["To solve the equation \\(9 \\times 76 \\times 21 - 13\\), we can break it down into simpler steps by using the distributive property of multiplication.\n\nFirst, let's rewrite the multiplication part:\n\n\\[9 \\times 76 \\times 21\\]\n\nWe can split 76 into 70 + 6, so:\n\n\\[9 \\times (70 + ...
136
{"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...
226
{"gen_args_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, 19, 72, 62], create an equation that equals 226. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 73 \\\\times 19 + 72 \\\\times 62 \\\\), we can break it down into simpler steps.\\n\\n### Step 1: Break down the multiplication\\nFirst, let's break down the multiplication \\\\( 72 \\\\times 62 \\\\):\\n\\n\\\\[ 72 \\\\times 62 = 72 \\\\times (60 + 2) \\\\]\\n\\nUsing t...
["{'generation': \"To solve the equation \\\\( 73 \\\\times 19 + 72 \\\\times 62 \\\\), we can break it down into simpler steps.\\n\\n### Step 1: Break down the multiplication\\nFirst, let's break down the multiplication \\\\( 72 \\\\times 62 \\\\):\\n\\n\\\\[ 72 \\\\times 62 = 72 \\\\times (60 + 2) \\\\]\\n\\nUsing th...
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8f1f64db81c40ea10e1e9080c9ae60a7acb8925968c431ee16784dea9841c66f
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 73 \\times 19 + 72 \\times 62 \\), we can break it down into simpler steps.\n\n### Step 1: Break down the multiplication\nFirst, let's break down the multiplication \\( 72 \\times 62 \\):\n\n\\[ 72 \\times 62 = 72 \\times (60 + 2) \\]\n\nUsing the distributive property:\n\n\\[ 72 \\times 62 ...
[{"budget_forced_chunks": ["To solve the equation \\( 73 \\times 19 + 72 \\times 62 \\), we can break it down into simpler steps.\n\n### Step 1: Break down the multiplication\nFirst, let's break down the multiplication \\( 72 \\times 62 \\):\n\n\\[ 72 \\times 62 = 72 \\times (60 + 2) \\]\n\nUsing the distributive prope...
137
{"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...
574
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [7, 92, 95, 5], create an equation that equals 574. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the addition problem 7 + 92 + 95 + 5, we will follow a step-by-step approach:\\n\\n1. **Break down the numbers**: \\n - 7 can be represented as 7 = 70 * 1\\n - 92 can be represented as 92 = 92 * 1\\n - 95 can be represented as 95 = 95 * 1\\n - 5 can be represented as 5 = 5 * 1\\n\\n...
["{'generation': \"To solve the addition problem 7 + 92 + 95 + 5, we will follow a step-by-step approach:\\n\\n1. **Break down the numbers**: \\n - 7 can be represented as 7 = 70 * 1\\n - 92 can be represented as 92 = 92 * 1\\n - 95 can be represented as 95 = 95 * 1\\n - 5 can be represented as 5 = 5 * 1\\n\\n2...
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8e28c5eb829e92abf7a5a921f42364cbb8b255d7c9861a68a3814a9de95d9d67
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 7 + 92 + 95 + 5, we will follow a step-by-step approach:\n\n1. **Break down the numbers**: \n - 7 can be represented as 7 = 70 * 1\n - 92 can be represented as 92 = 92 * 1\n - 95 can be represented as 95 = 95 * 1\n - 5 can be represented as 5 = 5 * 1\n\n2. **Add the numbers**:\n ...
[{"budget_forced_chunks": ["To solve the addition problem 7 + 92 + 95 + 5, we will follow a step-by-step approach:\n\n1. **Break down the numbers**: \n - 7 can be represented as 7 = 70 * 1\n - 92 can be represented as 92 = 92 * 1\n - 95 can be represented as 95 = 95 * 1\n - 5 can be represented as 5 = 5 * 1\n\n...
138
{"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...
957
{"gen_args_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, 73, 10, 88], create an equation that equals 957. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 15 + 73 + 10 + 88, we can follow these steps:\\n\\n1. First, add 15 and 73:\\n \\\\[\\n 15 + 73 = 88\\n \\\\]\\n\\n2. Next, add the result to 10:\\n \\\\[\\n 88 + 10 = 98\\n \\\\]\\n\\n3. Finally, add the result to 88:\\n \\\\[\\n 98 + 88 = 186\\n \\\\...
["{'generation': \"To solve the addition problem 15 + 73 + 10 + 88, we can follow these steps:\\n\\n1. First, add 15 and 73:\\n \\\\[\\n 15 + 73 = 88\\n \\\\]\\n\\n2. Next, add the result to 10:\\n \\\\[\\n 88 + 10 = 98\\n \\\\]\\n\\n3. Finally, add the result to 88:\\n \\\\[\\n 98 + 88 = 186\\n \\\\]...
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46d4c7c3285e2d04cbf9d55aa79142a277c48372a71c1455971363f2b8f8ed67
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 15 + 73 + 10 + 88, we can follow these steps:\n\n1. First, add 15 and 73:\n \\[\n 15 + 73 = 88\n \\]\n\n2. Next, add the result to 10:\n \\[\n 88 + 10 = 98\n \\]\n\n3. Finally, add the result to 88:\n \\[\n 98 + 88 = 186\n \\]\n\nSo, the solution to the addition problem...
[{"budget_forced_chunks": ["To solve the addition problem 15 + 73 + 10 + 88, we can follow these steps:\n\n1. First, add 15 and 73:\n \\[\n 15 + 73 = 88\n \\]\n\n2. Next, add the result to 10:\n \\[\n 88 + 10 = 98\n \\]\n\n3. Finally, add the result to 88:\n \\[\n 98 + 88 = 186\n \\]\n\nSo, the soluti...
139
{"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 [3, 76, 62, 96], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': 'To solve the problem of adding up to 113 using the numbers [3, 76, 62, 96], follow these steps:\\n\\n1. First, consider how you can use the number 96. Adding 96 to 62 would get us close, but we need to do better.\\n\\n2. Next, consider using 76. Adding 76 to 3 would get us to 79, and then we need to ...
["{'generation': 'To solve the problem of adding up to 113 using the numbers [3, 76, 62, 96], follow these steps:\\n\\n1. First, consider how you can use the number 96. Adding 96 to 62 would get us close, but we need to do better.\\n\\n2. Next, consider using 76. Adding 76 to 3 would get us to 79, and then we need to g...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 113 using the numbers [3, 76, 62, 96], follow these steps:\n\n1. First, consider how you can use the number 96. Adding 96 to 62 would get us close, but we need to do better.\n\n2. Next, consider using 76. Adding 76 to 3 would get us to 79, and then we need to get to 1.\n\n3. Final...
[{"budget_forced_chunks": ["To solve the problem of adding up to 113 using the numbers [3, 76, 62, 96], follow these steps:\n\n1. First, consider how you can use the number 96. Adding 96 to 62 would get us close, but we need to do better.\n\n2. Next, consider using 76. Adding 76 to 3 would get us to 79, and then we nee...
140
{"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...
208
{"gen_args_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, 52, 81, 31], create an equation that equals 208. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation 43 + 52 - 81 + 31 using the given numbers, we follow these steps:\\n\\nStep 1: Add 43 and 52.\\n43 + 52 = 95\\n\\nStep 2: Subtract 81 from 95.\\n95 - 81 = 14\\n\\nStep 3: Add 31 to the result from step 2.\\n14 + 31 = 45\\n\\nThus, the solution to the equation 43 + 52 - 81 + 31 ...
["{'generation': \"To solve the equation 43 + 52 - 81 + 31 using the given numbers, we follow these steps:\\n\\nStep 1: Add 43 and 52.\\n43 + 52 = 95\\n\\nStep 2: Subtract 81 from 95.\\n95 - 81 = 14\\n\\nStep 3: Add 31 to the result from step 2.\\n14 + 31 = 45\\n\\nThus, the solution to the equation 43 + 52 - 81 + 31 i...
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81a925ed6a37c1cbd4c8cb4cf89b0701cf23b7f357fc67ef7242559ada469830
8df66f64b57424391d363fd6b811fed3c430c77597da265025728bd637bad804
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 43 + 52 - 81 + 31 using the given numbers, we follow these steps:\n\nStep 1: Add 43 and 52.\n43 + 52 = 95\n\nStep 2: Subtract 81 from 95.\n95 - 81 = 14\n\nStep 3: Add 31 to the result from step 2.\n14 + 31 = 45\n\nThus, the solution to the equation 43 + 52 - 81 + 31 is 45.\n\nIs this answer corr...
[{"budget_forced_chunks": ["To solve the equation 43 + 52 - 81 + 31 using the given numbers, we follow these steps:\n\nStep 1: Add 43 and 52.\n43 + 52 = 95\n\nStep 2: Subtract 81 from 95.\n95 - 81 = 14\n\nStep 3: Add 31 to the result from step 2.\n14 + 31 = 45\n\nThus, the solution to the equation 43 + 52 - 81 + 31 is ...
141
{"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...
948
{"gen_args_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, 36, 12, 79], create an equation that equals 948. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the multiplication problem \\\\( 2 \\\\times 36 \\\\times 12 \\\\times 79 \\\\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\\n\\n### Step 1: Multiply 2 by 36\\n- \\\\( 2 \\\\times 36 = 72 \\\\)\\n\\n### Step 2: Multiply the result by 12\\n...
["{'generation': \"To solve the multiplication problem \\\\( 2 \\\\times 36 \\\\times 12 \\\\times 79 \\\\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\\n\\n### Step 1: Multiply 2 by 36\\n- \\\\( 2 \\\\times 36 = 72 \\\\)\\n\\n### Step 2: Multiply the result by 12\\n-...
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9a34c9ac76794cfa3b23c08f88053898cb5f06a899c7548ff43b1c4d882322ff
b1e92fe0fa7edab2161fa5090a65e065425f6ead93e1152013b1ba77b471494c
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 2 \\times 36 \\times 12 \\times 79 \\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\n\n### Step 1: Multiply 2 by 36\n- \\( 2 \\times 36 = 72 \\)\n\n### Step 2: Multiply the result by 12\n- \\( 72 \\times 12 = 864 \\)\n\n### Ste...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 2 \\times 36 \\times 12 \\times 79 \\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\n\n### Step 1: Multiply 2 by 36\n- \\( 2 \\times 36 = 72 \\)\n\n### Step 2: Multiply the result by 12\n- \\( 72 \\tim...
142
{"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...
848
{"gen_args_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 [62, 93, 99, 7], create an equation that equals 848. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 62 \\\\times 93 \\\\times 99 \\\\times 7 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down 99 into 100 - 1**:\\n \\\\[\\n 99 \\\\times 7 = (100 - 1) \\\\times 7\\n \\\\]\\n\\n2. **Distribute the multiplication**:\\n \\\\[\\n 100 \\\\times 7 - ...
["{'generation': \"To solve the equation \\\\( 62 \\\\times 93 \\\\times 99 \\\\times 7 \\\\), we can break it down into simpler steps:\\n\\n1. **Break down 99 into 100 - 1**:\\n \\\\[\\n 99 \\\\times 7 = (100 - 1) \\\\times 7\\n \\\\]\\n\\n2. **Distribute the multiplication**:\\n \\\\[\\n 100 \\\\times 7 - 1...
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de498b9901677f58da56b38a515db0a6a3b93840bde5fd0b74437502163e9fb1
0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 62 \\times 93 \\times 99 \\times 7 \\), we can break it down into simpler steps:\n\n1. **Break down 99 into 100 - 1**:\n \\[\n 99 \\times 7 = (100 - 1) \\times 7\n \\]\n\n2. **Distribute the multiplication**:\n \\[\n 100 \\times 7 - 1 \\times 7\n \\]\n\n3. **Calculate \\( 100 \\t...
[{"budget_forced_chunks": ["To solve the equation \\( 62 \\times 93 \\times 99 \\times 7 \\), we can break it down into simpler steps:\n\n1. **Break down 99 into 100 - 1**:\n \\[\n 99 \\times 7 = (100 - 1) \\times 7\n \\]\n\n2. **Distribute the multiplication**:\n \\[\n 100 \\times 7 - 1 \\times 7\n \\]\n\n...
143
{"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...
574
{"gen_args_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, 9, 28, 58], create an equation that equals 574. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation 80 * 9 + 28 * 58, we can break it down into smaller steps and solve it quickly.\\n\\nFirst, let's look at the 9:\\n\\n80 * 9 is a multiple of 10, so it's easy to remember that the units digit will be 8 (since 80 * 1 = 80, and adding another 10 makes it 800).\\n\\nNow, let's loo...
["{'generation': \"To solve the equation 80 * 9 + 28 * 58, we can break it down into smaller steps and solve it quickly.\\n\\nFirst, let's look at the 9:\\n\\n80 * 9 is a multiple of 10, so it's easy to remember that the units digit will be 8 (since 80 * 1 = 80, and adding another 10 makes it 800).\\n\\nNow, let's look...
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8e28c5eb829e92abf7a5a921f42364cbb8b255d7c9861a68a3814a9de95d9d67
0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 80 * 9 + 28 * 58, we can break it down into smaller steps and solve it quickly.\n\nFirst, let's look at the 9:\n\n80 * 9 is a multiple of 10, so it's easy to remember that the units digit will be 8 (since 80 * 1 = 80, and adding another 10 makes it 800).\n\nNow, let's look at the 58:\n\n80 * 8 =...
[{"budget_forced_chunks": ["To solve the equation 80 * 9 + 28 * 58, we can break it down into smaller steps and solve it quickly.\n\nFirst, let's look at the 9:\n\n80 * 9 is a multiple of 10, so it's easy to remember that the units digit will be 8 (since 80 * 1 = 80, and adding another 10 makes it 800).\n\nNow, let's l...
144
{"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 [86, 20, 10, 86], create an equation that equals 162. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the equation \\\\(86 \\\\times 20 \\\\times 10 \\\\times 86\\\\) step by step:\\n\\n1. First, let\\'s focus on the multiplication of 86 by 20:\\n \\\\[\\n 86 \\\\times 20 = 1720\\n \\\\]\\n\\n2. Next, multiply the result by 10:\\n \\\\[\\n 1720 \\\\times 10 = 17200\\n \\\\]\\n\\n...
["{'generation': 'To solve the equation \\\\(86 \\\\times 20 \\\\times 10 \\\\times 86\\\\) step by step:\\n\\n1. First, let\\'s focus on the multiplication of 86 by 20:\\n \\\\[\\n 86 \\\\times 20 = 1720\\n \\\\]\\n\\n2. Next, multiply the result by 10:\\n \\\\[\\n 1720 \\\\times 10 = 17200\\n \\\\]\\n\\n3...
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88b0a0059ca02e1c46da0224fb79a38cf3808c05898f2dac602ef90e51b6ad57
79d6eaa2676189eb927f2e16a70091474078e2117c3fc607d35cdc6b591ef355
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(86 \\times 20 \\times 10 \\times 86\\) step by step:\n\n1. First, let's focus on the multiplication of 86 by 20:\n \\[\n 86 \\times 20 = 1720\n \\]\n\n2. Next, multiply the result by 10:\n \\[\n 1720 \\times 10 = 17200\n \\]\n\n3. Finally, multiply the result by 86:\n \\[\n 17...
[{"budget_forced_chunks": ["To solve the equation \\(86 \\times 20 \\times 10 \\times 86\\) step by step:\n\n1. First, let's focus on the multiplication of 86 by 20:\n \\[\n 86 \\times 20 = 1720\n \\]\n\n2. Next, multiply the result by 10:\n \\[\n 1720 \\times 10 = 17200\n \\]\n\n3. Finally, multiply the re...
145
{"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 [81, 29, 53, 82], create an equation that equals 139. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem \\\\(81 + 29\\\\), we can break it down into more manageable parts:\\n\\n1. First, let's add the tens place: \\\\(80 + 20 = 100\\\\)\\n2. Next, add the units place: \\\\(10 + 9 = 19\\\\)\\n3. Finally, add the carry-over from the tens place (1) to the units place: \\\\(1...
["{'generation': \"To solve the addition problem \\\\(81 + 29\\\\), we can break it down into more manageable parts:\\n\\n1. First, let's add the tens place: \\\\(80 + 20 = 100\\\\)\\n2. Next, add the units place: \\\\(10 + 9 = 19\\\\)\\n3. Finally, add the carry-over from the tens place (1) to the units place: \\\\(1 ...
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8d27ba37c5d810106b55f3fd6cdb35842007e88754184bfc0e6035f9bcede633
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\(81 + 29\\), we can break it down into more manageable parts:\n\n1. First, let's add the tens place: \\(80 + 20 = 100\\)\n2. Next, add the units place: \\(10 + 9 = 19\\)\n3. Finally, add the carry-over from the tens place (1) to the units place: \\(1 + 9 = 10\\)\n\nSo, \\(81 + 29 = 100...
[{"budget_forced_chunks": ["To solve the addition problem \\(81 + 29\\), we can break it down into more manageable parts:\n\n1. First, let's add the tens place: \\(80 + 20 = 100\\)\n2. Next, add the units place: \\(10 + 9 = 19\\)\n3. Finally, add the carry-over from the tens place (1) to the units place: \\(1 + 9 = 10\...
146
{"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...
628
{"gen_args_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 [20, 61, 5, 96], create an equation that equals 628. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem 20 + 61 + 5 + 96, we can break it down into smaller steps:\\n\\n1. First, add 20 and 61:\\n \\\\[\\n 20 + 61 = 81\\n \\\\]\\n\\n2. Next, add 81 and 5:\\n \\\\[\\n 81 + 5 = 86\\n \\\\]\\n\\n3. Finally, add 86 and 96:\\n \\\\[\\n 86 + 96 = 182\\n \\\\]\\...
["{'generation': \"To solve the addition problem 20 + 61 + 5 + 96, we can break it down into smaller steps:\\n\\n1. First, add 20 and 61:\\n \\\\[\\n 20 + 61 = 81\\n \\\\]\\n\\n2. Next, add 81 and 5:\\n \\\\[\\n 81 + 5 = 86\\n \\\\]\\n\\n3. Finally, add 86 and 96:\\n \\\\[\\n 86 + 96 = 182\\n \\\\]\\n...
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9ad0fcc954ea109dc159489ea92890d8fe651e5bb97018463353b292383172c4
67c312330b0371a0a37c565cf44ef264835147fea61261bf57380f338efcd8c9
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 20 + 61 + 5 + 96, we can break it down into smaller steps:\n\n1. First, add 20 and 61:\n \\[\n 20 + 61 = 81\n \\]\n\n2. Next, add 81 and 5:\n \\[\n 81 + 5 = 86\n \\]\n\n3. Finally, add 86 and 96:\n \\[\n 86 + 96 = 182\n \\]\n\nSo, the solution to the equation 20 + 61 + ...
[{"budget_forced_chunks": ["To solve the addition problem 20 + 61 + 5 + 96, we can break it down into smaller steps:\n\n1. First, add 20 and 61:\n \\[\n 20 + 61 = 81\n \\]\n\n2. Next, add 81 and 5:\n \\[\n 81 + 5 = 86\n \\]\n\n3. Finally, add 86 and 96:\n \\[\n 86 + 96 = 182\n \\]\n\nSo, the solution ...
147
{"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...
260
{"gen_args_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, 28, 86, 6], create an equation that equals 260. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 53 \\\\times 28 + 86 \\\\times 6 \\\\), we will follow the steps shown in the example:\\n\\n1. **Break down the multiplication into simpler parts:**\\n - \\\\( 53 \\\\times 28 \\\\)\\n - \\\\( 86 \\\\times 6 \\\\)\\n\\n2. **Calculate each part separately:**\\n - \\\...
["{'generation': \"To solve the equation \\\\( 53 \\\\times 28 + 86 \\\\times 6 \\\\), we will follow the steps shown in the example:\\n\\n1. **Break down the multiplication into simpler parts:**\\n - \\\\( 53 \\\\times 28 \\\\)\\n - \\\\( 86 \\\\times 6 \\\\)\\n\\n2. **Calculate each part separately:**\\n - \\\\...
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39bb88f40d3aa2b2fe9dea67be27c74765db0ebb3ff3cf8fb779af6319fa2045
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 53 \\times 28 + 86 \\times 6 \\), we will follow the steps shown in the example:\n\n1. **Break down the multiplication into simpler parts:**\n - \\( 53 \\times 28 \\)\n - \\( 86 \\times 6 \\)\n\n2. **Calculate each part separately:**\n - \\( 53 \\times 28 \\)\n - First, multiply 53...
[{"budget_forced_chunks": ["To solve the equation \\( 53 \\times 28 + 86 \\times 6 \\), we will follow the steps shown in the example:\n\n1. **Break down the multiplication into simpler parts:**\n - \\( 53 \\times 28 \\)\n - \\( 86 \\times 6 \\)\n\n2. **Calculate each part separately:**\n - \\( 53 \\times 28 \\)\...
148
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
149
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [43, 49, 33, 90], create an equation that equals 149. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 43 + 49 + 33 + 90 = 149.\\n\\n1. First, add 43 and 49, which equals 92.\\n2. Then, add 33 to 92, which equals 125.\\n3. Finally, add 90 to 125, which equals 149.\\n\\nSo, the final answer is: 149\\n\\nIs this answer correct? No Hold on, let me verify this answer. 43 + 4...
["{'generation': \"To solve the addition problem 43 + 49 + 33 + 90 = 149.\\n\\n1. First, add 43 and 49, which equals 92.\\n2. Then, add 33 to 92, which equals 125.\\n3. Finally, add 90 to 125, which equals 149.\\n\\nSo, the final answer is: 149\\n\\nIs this answer correct? No Hold on, let me verify this answer. 43 + 49...
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7edc4cc72389eb2ea12a17d94ed446c7e3121d74bff67e3f9d3fe955bb3c59ae
05ada863a4cf9660fd8c68e2295f1d35b2264815f5b605003d6625bd9e0492cf
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 43 + 49 + 33 + 90 = 149.\n\n1. First, add 43 and 49, which equals 92.\n2. Then, add 33 to 92, which equals 125.\n3. Finally, add 90 to 125, which equals 149.\n\nSo, the final answer is: 149\n\nIs this answer correct? No Hold on, let me verify this answer. 43 + 49 + 33 + 90 should equal 1...
[{"budget_forced_chunks": ["To solve the addition problem 43 + 49 + 33 + 90 = 149.\n\n1. First, add 43 and 49, which equals 92.\n2. Then, add 33 to 92, which equals 125.\n3. Finally, add 90 to 125, which equals 149.\n\nSo, the final answer is: 149\n\nIs this answer correct? No", " Hold on, let me verify this answer. 43...
149
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
154
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [30, 50, 90, 84], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the problem of adding up the numbers 30, 50, 90, and 84 to get a sum of 154, we can break it down into simpler steps:\\n\\n1. First, let's combine 30 and 50: 30 + 50 = 80\\n2. Next, we add 80 to 90: 80 + 90 = 170\\n3. Finally, we add 170 to 84: 170 + 84 = 254\\n\\nHowever, this still doesn'...
["{'generation': \"To solve the problem of adding up the numbers 30, 50, 90, and 84 to get a sum of 154, we can break it down into simpler steps:\\n\\n1. First, let's combine 30 and 50: 30 + 50 = 80\\n2. Next, we add 80 to 90: 80 + 90 = 170\\n3. Finally, we add 170 to 84: 170 + 84 = 254\\n\\nHowever, this still doesn't...
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1d0ebea552eb43d0b1e1561f6de8ae92e3de7f1abec52399244d1caed7dbdfa6
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up the numbers 30, 50, 90, and 84 to get a sum of 154, we can break it down into simpler steps:\n\n1. First, let's combine 30 and 50: 30 + 50 = 80\n2. Next, we add 80 to 90: 80 + 90 = 170\n3. Finally, we add 170 to 84: 170 + 84 = 254\n\nHowever, this still doesn't match the target sum o...
[{"budget_forced_chunks": ["To solve the problem of adding up the numbers 30, 50, 90, and 84 to get a sum of 154, we can break it down into simpler steps:\n\n1. First, let's combine 30 and 50: 30 + 50 = 80\n2. Next, we add 80 to 90: 80 + 90 = 170\n3. Finally, we add 170 to 84: 170 + 84 = 254\n\nHowever, this still does...
150
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
191
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [1, 90, 92, 9], create an equation that equals 191. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the equation \\\\(1 \\\\times 90 + 92 \\\\times 1 \\\\times 9 + 9 \\\\times 1 = 191\\\\).\\n\\nStep 1: Calculate \\\\(1 \\\\times 90 = 90\\\\).\\n\\nStep 2: Calculate \\\\(92 \\\\times 1 \\\\times 9 = 92 \\\\times 9 = 828\\\\).\\n\\nStep 3: Calculate \\\\(9 \\\\times 1 = 9\\\\).\\n\\nStep 4...
["{'generation': \"To solve the equation \\\\(1 \\\\times 90 + 92 \\\\times 1 \\\\times 9 + 9 \\\\times 1 = 191\\\\).\\n\\nStep 1: Calculate \\\\(1 \\\\times 90 = 90\\\\).\\n\\nStep 2: Calculate \\\\(92 \\\\times 1 \\\\times 9 = 92 \\\\times 9 = 828\\\\).\\n\\nStep 3: Calculate \\\\(9 \\\\times 1 = 9\\\\).\\n\\nStep 4:...
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70260742c2952154c84e2ea9f68b1a7397f49b6d343da1ed284093c0bd72c742
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(1 \\times 90 + 92 \\times 1 \\times 9 + 9 \\times 1 = 191\\).\n\nStep 1: Calculate \\(1 \\times 90 = 90\\).\n\nStep 2: Calculate \\(92 \\times 1 \\times 9 = 92 \\times 9 = 828\\).\n\nStep 3: Calculate \\(9 \\times 1 = 9\\).\n\nStep 4: Add all the results: \\(90 + 828 + 9 = 927\\).\n\nBut wait...
[{"budget_forced_chunks": ["To solve the equation \\(1 \\times 90 + 92 \\times 1 \\times 9 + 9 \\times 1 = 191\\).\n\nStep 1: Calculate \\(1 \\times 90 = 90\\).\n\nStep 2: Calculate \\(92 \\times 1 \\times 9 = 92 \\times 9 = 828\\).\n\nStep 3: Calculate \\(9 \\times 1 = 9\\).\n\nStep 4: Add all the results: \\(90 + 828...
151
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
208
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [7, 91, 20, 90], create an equation that equals 208. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 7 \\\\times 91 \\\\) step by step:\\n\\n1. **Break down the multiplication into smaller steps**:\\n - First, multiply \\\\( 7 \\\\) by \\\\( 9 \\\\).\\n - Then, multiply \\\\( 7 \\\\) by \\\\( 1 \\\\).\\n - Add the results of these two multiplications.\\n\\n2. **Cal...
["{'generation': \"To solve the equation \\\\( 7 \\\\times 91 \\\\) step by step:\\n\\n1. **Break down the multiplication into smaller steps**:\\n - First, multiply \\\\( 7 \\\\) by \\\\( 9 \\\\).\\n - Then, multiply \\\\( 7 \\\\) by \\\\( 1 \\\\).\\n - Add the results of these two multiplications.\\n\\n2. **Calc...
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1d30407f7a0a2213924ac59a0684c96475d3fc20fb6c030d2c2d679a2a9a80bc
8df66f64b57424391d363fd6b811fed3c430c77597da265025728bd637bad804
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 7 \\times 91 \\) step by step:\n\n1. **Break down the multiplication into smaller steps**:\n - First, multiply \\( 7 \\) by \\( 9 \\).\n - Then, multiply \\( 7 \\) by \\( 1 \\).\n - Add the results of these two multiplications.\n\n2. **Calculate the first step**:\n - \\( 7 \\times 9 ...
[{"budget_forced_chunks": ["To solve the equation \\( 7 \\times 91 \\) step by step:\n\n1. **Break down the multiplication into smaller steps**:\n - First, multiply \\( 7 \\) by \\( 9 \\).\n - Then, multiply \\( 7 \\) by \\( 1 \\).\n - Add the results of these two multiplications.\n\n2. **Calculate the first step...
152
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
416
{"gen_args_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, 64, 10, 30], create an equation that equals 416. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the problem of multiplying 416 using the numbers [4, 64, 10, 30], let's break it down into steps:\\n\\n1) First, consider 416 itself. It can be thought of as 400 (4 * 100) + 16 (4 * 1 + 6).\\n\\n2) Now, if we multiply 416 by 10, we simply add a zero to the end of the number: 416 * 10 = 4160...
["{'generation': \"To solve the problem of multiplying 416 using the numbers [4, 64, 10, 30], let's break it down into steps:\\n\\n1) First, consider 416 itself. It can be thought of as 400 (4 * 100) + 16 (4 * 1 + 6).\\n\\n2) Now, if we multiply 416 by 10, we simply add a zero to the end of the number: 416 * 10 = 4160....
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a6518eac279f5530ed23266b6d5366e3f3fe167a1c55396d30a18b29b7480923
67e0bdb7b6c549d4fa834d0f6848ce6a3a12e07de9cea949ad41932bd5881bc4
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of multiplying 416 using the numbers [4, 64, 10, 30], let's break it down into steps:\n\n1) First, consider 416 itself. It can be thought of as 400 (4 * 100) + 16 (4 * 1 + 6).\n\n2) Now, if we multiply 416 by 10, we simply add a zero to the end of the number: 416 * 10 = 4160.\n\n3) Next, to find ...
[{"budget_forced_chunks": ["To solve the problem of multiplying 416 using the numbers [4, 64, 10, 30], let's break it down into steps:\n\n1) First, consider 416 itself. It can be thought of as 400 (4 * 100) + 16 (4 * 1 + 6).\n\n2) Now, if we multiply 416 by 10, we simply add a zero to the end of the number: 416 * 10 = ...
153
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [99, 71, 54, 26], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(99 \\\\times 71 - 54 \\\\times 26\\\\), we will break it down into simpler steps.\\n\\n### Step 1: Break down the multiplication into smaller parts.\\nFirst, break down the numbers into smaller parts such that the original multiplication can be expressed as the sum of smal...
["{'generation': \"To solve the equation \\\\(99 \\\\times 71 - 54 \\\\times 26\\\\), we will break it down into simpler steps.\\n\\n### Step 1: Break down the multiplication into smaller parts.\\nFirst, break down the numbers into smaller parts such that the original multiplication can be expressed as the sum of small...
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36bcc784639c6e0f8bd22c67ee7236dce30de1f9e9dacb6c0cbfa61c0f368fa4
9537f32ec7599e1ae953af6c9f929fe747ff9dadf79a9beff1f304c550173011
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(99 \\times 71 - 54 \\times 26\\), we will break it down into simpler steps.\n\n### Step 1: Break down the multiplication into smaller parts.\nFirst, break down the numbers into smaller parts such that the original multiplication can be expressed as the sum of smaller multiplications.\n\n- \\(...
[{"budget_forced_chunks": ["To solve the equation \\(99 \\times 71 - 54 \\times 26\\), we will break it down into simpler steps.\n\n### Step 1: Break down the multiplication into smaller parts.\nFirst, break down the numbers into smaller parts such that the original multiplication can be expressed as the sum of smaller...
154
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [30, 86, 36, 12], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the equation \\\\( 30 + 86 - 36 \\\\div 12 \\\\), we follow these steps:\\n\\n1. ** division first**: \\n \\\\[\\n 36 \\\\div 12 = 3\\n \\\\]\\n\\n2. **add the result to 30**:\\n \\\\[\\n 30 + 3 = 33\\n \\\\]\\n\\n3. **add the result to 86**:\\n \\\\[\\n 33 + 86 = 119\\n \\...
["{'generation': 'To solve the equation \\\\( 30 + 86 - 36 \\\\div 12 \\\\), we follow these steps:\\n\\n1. ** division first**: \\n \\\\[\\n 36 \\\\div 12 = 3\\n \\\\]\\n\\n2. **add the result to 30**:\\n \\\\[\\n 30 + 3 = 33\\n \\\\]\\n\\n3. **add the result to 86**:\\n \\\\[\\n 33 + 86 = 119\\n \\\...
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87645c0853087c3f255e9833f3813572ffa72b89ae7f12dc94df954c0ec72a57
5ef6fdf32513aa7cd11f72beccf132b9224d33f271471fff402742887a171edf
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 30 + 86 - 36 \\div 12 \\), we follow these steps:\n\n1. ** division first**: \n \\[\n 36 \\div 12 = 3\n \\]\n\n2. **add the result to 30**:\n \\[\n 30 + 3 = 33\n \\]\n\n3. **add the result to 86**:\n \\[\n 33 + 86 = 119\n \\]\n\nSo, the final solution is \\( 30 + 86 - 36 \\...
[{"budget_forced_chunks": ["To solve the equation \\( 30 + 86 - 36 \\div 12 \\), we follow these steps:\n\n1. ** division first**: \n \\[\n 36 \\div 12 = 3\n \\]\n\n2. **add the result to 30**:\n \\[\n 30 + 3 = 33\n \\]\n\n3. **add the result to 86**:\n \\[\n 33 + 86 = 119\n \\]\n\nSo, the final solut...
155
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [77, 85, 58, 11], create an equation that equals 174. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 77 + 85 + 58 + 11, we can break it down into smaller steps:\\n\\nStep 1: 77 + 85 = 162\\nStep 2: 162 + 58 = 220\\nStep 3: 220 + 11 = 231\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n231\\n</answer>\\n\\nIs this answer correct? No Wait, this result is 231, not 17...
["{'generation': \"To solve the addition problem 77 + 85 + 58 + 11, we can break it down into smaller steps:\\n\\nStep 1: 77 + 85 = 162\\nStep 2: 162 + 58 = 220\\nStep 3: 220 + 11 = 231\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n231\\n</answer>\\n\\nIs this answer correct? No Wait, this result is 231, not 174...
ad8bc474d42cdfe1e5393f309a447308fdf53c474cdf22006d8696aaecd23b0c
abacc45006147cf04d44e6657c9059f45068f3342cd6ea9d4353a346e1e754fd
41e521adf8ae7a0f419ee06e1d9fb794162369237b46f64bf5b2b9969b0bcd2e
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 77 + 85 + 58 + 11, we can break it down into smaller steps:\n\nStep 1: 77 + 85 = 162\nStep 2: 162 + 58 = 220\nStep 3: 220 + 11 = 231\n\nTherefore, the final answer is:\n\n<answer>\n231\n</answer>\n\nIs this answer correct? No Wait, this result is 231, not 174. Let's correct this and solv...
[{"budget_forced_chunks": ["To solve the addition problem 77 + 85 + 58 + 11, we can break it down into smaller steps:\n\nStep 1: 77 + 85 = 162\nStep 2: 162 + 58 = 220\nStep 3: 220 + 11 = 231\n\nTherefore, the final answer is:\n\n<answer>\n231\n</answer>\n\nIs this answer correct? No", " Wait, this result is 231, not 17...
156
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
202
{"gen_args_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, 8, 66, 45], create an equation that equals 202. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 99 \\\\times 8 \\\\times 66 \\\\times 45 \\\\), we can break it down into simpler steps by using the distributive property of multiplication.\\n\\nFirst, let's rewrite 99 as \\\\( 100 - 1 \\\\) and 45 as \\\\( 40 + 5 \\\\). This allows us to break the multiplication into ...
["{'generation': \"To solve the equation \\\\( 99 \\\\times 8 \\\\times 66 \\\\times 45 \\\\), we can break it down into simpler steps by using the distributive property of multiplication.\\n\\nFirst, let's rewrite 99 as \\\\( 100 - 1 \\\\) and 45 as \\\\( 40 + 5 \\\\). This allows us to break the multiplication into s...
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c17edaae86e4016a583e098582f6dbf3eccade8ef83747df9ba617ded9d31309
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 99 \\times 8 \\times 66 \\times 45 \\), we can break it down into simpler steps by using the distributive property of multiplication.\n\nFirst, let's rewrite 99 as \\( 100 - 1 \\) and 45 as \\( 40 + 5 \\). This allows us to break the multiplication into smaller, more manageable parts:\n\n\\[...
[{"budget_forced_chunks": ["To solve the equation \\( 99 \\times 8 \\times 66 \\times 45 \\), we can break it down into simpler steps by using the distributive property of multiplication.\n\nFirst, let's rewrite 99 as \\( 100 - 1 \\) and 45 as \\( 40 + 5 \\). This allows us to break the multiplication into smaller, mor...
157
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
304
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [30, 18, 29, 16], create an equation that equals 304. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the multiplication problem \\\\(30 \\\\times 16\\\\), we can break it down into simpler steps:\\n\\n1. **Break down the multiplication**:\\n \\\\[\\n 30 \\\\times 16 = 30 \\\\times (10 + 6)\\n \\\\]\\n\\n2. **Use the distributive property**:\\n \\\\[\\n 30 \\\\times (10 + 6) = 30 \...
["{'generation': 'To solve the multiplication problem \\\\(30 \\\\times 16\\\\), we can break it down into simpler steps:\\n\\n1. **Break down the multiplication**:\\n \\\\[\\n 30 \\\\times 16 = 30 \\\\times (10 + 6)\\n \\\\]\\n\\n2. **Use the distributive property**:\\n \\\\[\\n 30 \\\\times (10 + 6) = 30 \\...
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be4d77f6f23c3c21e02d6e4c02a1ac0e23887e387f77b849640ddb6b0e6cea76
d874e4e4a5df21173b0f83e313151f813bea4f488686efe670ae47f87c177595
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\(30 \\times 16\\), we can break it down into simpler steps:\n\n1. **Break down the multiplication**:\n \\[\n 30 \\times 16 = 30 \\times (10 + 6)\n \\]\n\n2. **Use the distributive property**:\n \\[\n 30 \\times (10 + 6) = 30 \\times 10 + 30 \\times 6\n \\]\n\n3. **Cal...
[{"budget_forced_chunks": ["To solve the multiplication problem \\(30 \\times 16\\), we can break it down into simpler steps:\n\n1. **Break down the multiplication**:\n \\[\n 30 \\times 16 = 30 \\times (10 + 6)\n \\]\n\n2. **Use the distributive property**:\n \\[\n 30 \\times (10 + 6) = 30 \\times 10 + 30 \\t...
158
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
148
{"gen_args_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, 100, 72, 59], create an equation that equals 148. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your w...
[["{'generation': \"To solve the equation \\\\(83 \\\\times 100 - 72 \\\\times 59\\\\), we can break it down into simpler steps.\\n\\n### Step 1: Break down the multiplication\\nWe can split the numbers into simpler parts that are easier to multiply:\\n\\n- \\\\(100\\\\) can be seen as \\\\(10 \\\\times 10\\\\).\\n- \\...
["{'generation': \"To solve the equation \\\\(83 \\\\times 100 - 72 \\\\times 59\\\\), we can break it down into simpler steps.\\n\\n### Step 1: Break down the multiplication\\nWe can split the numbers into simpler parts that are easier to multiply:\\n\\n- \\\\(100\\\\) can be seen as \\\\(10 \\\\times 10\\\\).\\n- \\\...
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ec2e990b934dde55cb87300629cedfc21b15cd28bbcf77d8bbdc55359d7689da
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(83 \\times 100 - 72 \\times 59\\), we can break it down into simpler steps.\n\n### Step 1: Break down the multiplication\nWe can split the numbers into simpler parts that are easier to multiply:\n\n- \\(100\\) can be seen as \\(10 \\times 10\\).\n- \\(59\\) can be seen as \\(60 - 1\\).\n\n###...
[{"budget_forced_chunks": ["To solve the equation \\(83 \\times 100 - 72 \\times 59\\), we can break it down into simpler steps.\n\n### Step 1: Break down the multiplication\nWe can split the numbers into simpler parts that are easier to multiply:\n\n- \\(100\\) can be seen as \\(10 \\times 10\\).\n- \\(59\\) can be se...
159
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
154
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [63, 51, 66, 76], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the problem of adding up to 154 using the numbers [63, 51, 66, 76], I will try to break it down into simpler steps:\\n\\nStep 1: 63 + 76 = 139 (63 needs to be adjusted to make this work)\\n\\nStep 2: 51 + 66 = 117 (51 needs to be adjusted to make this work)\\n\\nStep 3: 139 + 117 = 256\\n\\...
["{'generation': \"To solve the problem of adding up to 154 using the numbers [63, 51, 66, 76], I will try to break it down into simpler steps:\\n\\nStep 1: 63 + 76 = 139 (63 needs to be adjusted to make this work)\\n\\nStep 2: 51 + 66 = 117 (51 needs to be adjusted to make this work)\\n\\nStep 3: 139 + 117 = 256\\n\\n...
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bddb0a58e146c956e863907a83d8b3ec38afd51d152d2c2a1ca6374c1d257a8e
1d0ebea552eb43d0b1e1561f6de8ae92e3de7f1abec52399244d1caed7dbdfa6
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 154 using the numbers [63, 51, 66, 76], I will try to break it down into simpler steps:\n\nStep 1: 63 + 76 = 139 (63 needs to be adjusted to make this work)\n\nStep 2: 51 + 66 = 117 (51 needs to be adjusted to make this work)\n\nStep 3: 139 + 117 = 256\n\nSo, <answer>256</answer> ...
[{"budget_forced_chunks": ["To solve the problem of adding up to 154 using the numbers [63, 51, 66, 76], I will try to break it down into simpler steps:\n\nStep 1: 63 + 76 = 139 (63 needs to be adjusted to make this work)\n\nStep 2: 51 + 66 = 117 (51 needs to be adjusted to make this work)\n\nStep 3: 139 + 117 = 256\n\...
160
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
375
{"gen_args_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, 72, 12, 21], create an equation that equals 375. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the multiplication problem \\\\( 51 \\\\times 72 \\\\), we can break it down into smaller steps for clarity and easier computation.\\n\\nStep 1: Break down 51 into 50 + 1, and 72 into 70 + 2.\\n\\nStep 2: Multiply (50 + 1) by 72:\\n When you multiply (50 + 1) by 72,\\n you get \\\\(50 \...
["{'generation': \"To solve the multiplication problem \\\\( 51 \\\\times 72 \\\\), we can break it down into smaller steps for clarity and easier computation.\\n\\nStep 1: Break down 51 into 50 + 1, and 72 into 70 + 2.\\n\\nStep 2: Multiply (50 + 1) by 72:\\n When you multiply (50 + 1) by 72,\\n you get \\\\(50 \\...
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de5872c6bb4494cebd250152ce148cd6231654e4469229f2f993984b3950b422
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 51 \\times 72 \\), we can break it down into smaller steps for clarity and easier computation.\n\nStep 1: Break down 51 into 50 + 1, and 72 into 70 + 2.\n\nStep 2: Multiply (50 + 1) by 72:\n When you multiply (50 + 1) by 72,\n you get \\(50 \\times 72 + 1 \\times 72\\).\n\n...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 51 \\times 72 \\), we can break it down into smaller steps for clarity and easier computation.\n\nStep 1: Break down 51 into 50 + 1, and 72 into 70 + 2.\n\nStep 2: Multiply (50 + 1) by 72:\n When you multiply (50 + 1) by 72,\n you get \\(50 \\times...
161
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
471
{"gen_args_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 [20, 69, 43, 16], create an equation that equals 471. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 20, 69, 43, 16 = 471, we'll follow this steps:\\n\\nStep 1: Add the ones digit of each number to a running total.\\n20 + 1 = 21\\n69 + 1 = 70\\n43 + 7 = 50\\n16 + 5 = 21\\n\\nStep 2: Multiply the tens digit of each number by the running total.\\n20 * 7 = 140\\n69 * 7 = ...
["{'generation': \"To solve the addition problem 20, 69, 43, 16 = 471, we'll follow this steps:\\n\\nStep 1: Add the ones digit of each number to a running total.\\n20 + 1 = 21\\n69 + 1 = 70\\n43 + 7 = 50\\n16 + 5 = 21\\n\\nStep 2: Multiply the tens digit of each number by the running total.\\n20 * 7 = 140\\n69 * 7 = 4...
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bad20c7e34b4147762760a3a12e304c1539bacea81551103971d562520d53682
064c3e311ef63912b0cc91db9681ce2d301c3e76c447febf8faa303de38cc005
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 20, 69, 43, 16 = 471, we'll follow this steps:\n\nStep 1: Add the ones digit of each number to a running total.\n20 + 1 = 21\n69 + 1 = 70\n43 + 7 = 50\n16 + 5 = 21\n\nStep 2: Multiply the tens digit of each number by the running total.\n20 * 7 = 140\n69 * 7 = 483\n43 * 2 = 86\n16 * 4 = 6...
[{"budget_forced_chunks": ["To solve the addition problem 20, 69, 43, 16 = 471, we'll follow this steps:\n\nStep 1: Add the ones digit of each number to a running total.\n20 + 1 = 21\n69 + 1 = 70\n43 + 7 = 50\n16 + 5 = 21\n\nStep 2: Multiply the tens digit of each number by the running total.\n20 * 7 = 140\n69 * 7 = 48...
162
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
526
{"gen_args_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 [94, 49, 20, 18], create an equation that equals 526. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation 94 + 49 - 20 + 18, we follow the standard algorithm for addition and subtraction:\\n\\n1. First, we add 94 and 49:\\n \\\\[\\n \\\\begin{array}{r}\\n 94 \\\\\\\\\\n +49 \\\\\\\\\\n \\\\hline\\n 143 \\\\\\\\\\n \\\\end{array}\\n \\\\]\\n This gives us 143.\\n\\...
["{'generation': \"To solve the equation 94 + 49 - 20 + 18, we follow the standard algorithm for addition and subtraction:\\n\\n1. First, we add 94 and 49:\\n \\\\[\\n \\\\begin{array}{r}\\n 94 \\\\\\\\\\n +49 \\\\\\\\\\n \\\\hline\\n 143 \\\\\\\\\\n \\\\end{array}\\n \\\\]\\n This gives us 143.\\n\\n...
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8d9ec231767232053a47de07275f5b52b9f6138c48efdfc5c3e7b85e5231d8cb
f7c2599681e9284ce1c403459e22b730e997d67d16c45c4f593108e8372029a9
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 94 + 49 - 20 + 18, we follow the standard algorithm for addition and subtraction:\n\n1. First, we add 94 and 49:\n \\[\n \\begin{array}{r}\n 94 \\\\\n +49 \\\\\n \\hline\n 143 \\\\\n \\end{array}\n \\]\n This gives us 143.\n\n2. Next, we subtract 20 from 143:\n \\[\n \\begi...
[{"budget_forced_chunks": ["To solve the equation 94 + 49 - 20 + 18, we follow the standard algorithm for addition and subtraction:\n\n1. First, we add 94 and 49:\n \\[\n \\begin{array}{r}\n 94 \\\\\n +49 \\\\\n \\hline\n 143 \\\\\n \\end{array}\n \\]\n This gives us 143.\n\n2. Next, we subtract 20 fr...
163
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
197
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [84, 51, 23, 85], create an equation that equals 197. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation 197 using the given numbers [84, 51, 23, 85], we can follow these steps:\\n\\nStep 1: Break down the numbers into smaller parts that are easier to work with.\\n84 = 80 + 4\\n51 = 50 + 1\\n23 = 20 + 3\\n85 = 80 + 5\\n\\nStep 2: Multiply the numbers individually.\\n80 * 80 = 6400...
["{'generation': \"To solve the equation 197 using the given numbers [84, 51, 23, 85], we can follow these steps:\\n\\nStep 1: Break down the numbers into smaller parts that are easier to work with.\\n84 = 80 + 4\\n51 = 50 + 1\\n23 = 20 + 3\\n85 = 80 + 5\\n\\nStep 2: Multiply the numbers individually.\\n80 * 80 = 6400\...
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8bcbb4c131df56f7c79066016241cc4bdf4e58db55c4f674e88b22365bd2e2ad
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 197 using the given numbers [84, 51, 23, 85], we can follow these steps:\n\nStep 1: Break down the numbers into smaller parts that are easier to work with.\n84 = 80 + 4\n51 = 50 + 1\n23 = 20 + 3\n85 = 80 + 5\n\nStep 2: Multiply the numbers individually.\n80 * 80 = 6400\n80 * 5 = 400\n5 * 80 = 40...
[{"budget_forced_chunks": ["To solve the equation 197 using the given numbers [84, 51, 23, 85], we can follow these steps:\n\nStep 1: Break down the numbers into smaller parts that are easier to work with.\n84 = 80 + 4\n51 = 50 + 1\n23 = 20 + 3\n85 = 80 + 5\n\nStep 2: Multiply the numbers individually.\n80 * 80 = 6400\...
164
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
685
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [29, 85, 23, 67], create an equation that equals 685. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem \\\\(29 + 85 + 23 + 67\\\\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\\n\\n### Step 1: Add 29 and 67\\n- Add the units digits: \\\\(9 + 7 = 16\\\\). Write down 6 and carry over 1.\\n- Multiply 29 by the tens digit (2...
["{'generation': \"To solve the addition problem \\\\(29 + 85 + 23 + 67\\\\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\\n\\n### Step 1: Add 29 and 67\\n- Add the units digits: \\\\(9 + 7 = 16\\\\). Write down 6 and carry over 1.\\n- Multiply 29 by the tens digit (2)...
8b87ebf1c8165093fbc78e3bdeb3cdfe221b06e4c9959515286f83767e701136
fd30b79095571fd2c31780a1b4bcf171c9cc58a2c0547624955ae3cd0179af1f
bb9b8ef813475d1e0ad84e2505af6656d16c990b1f77efaf9324e8fbcae2db67
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\(29 + 85 + 23 + 67\\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\n\n### Step 1: Add 29 and 67\n- Add the units digits: \\(9 + 7 = 16\\). Write down 6 and carry over 1.\n- Multiply 29 by the tens digit (2) to get 58, then add the carr...
[{"budget_forced_chunks": ["To solve the addition problem \\(29 + 85 + 23 + 67\\), we can break it down into smaller steps for easier calculation. Here\u2019s how you can do it:\n\n### Step 1: Add 29 and 67\n- Add the units digits: \\(9 + 7 = 16\\). Write down 6 and carry over 1.\n- Multiply 29 by the tens digit (2) to...
165
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
131
{"gen_args_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 [19, 65, 80, 5], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': 'To solve the addition problem 19 + 65 + 80 + 5, we can break it down into simpler steps:\\n\\n1. First, add 19 and 5:\\n \\\\[\\n 19 + 5 = 24\\n \\\\]\\n\\n2. Then, multiply 65 by 2 (since 65 is 60 + 5, we are essentially multiplying 60 by 2 and then adding a 5):\\n \\\\[\\n 65 \\\\times 2 ...
["{'generation': 'To solve the addition problem 19 + 65 + 80 + 5, we can break it down into simpler steps:\\n\\n1. First, add 19 and 5:\\n \\\\[\\n 19 + 5 = 24\\n \\\\]\\n\\n2. Then, multiply 65 by 2 (since 65 is 60 + 5, we are essentially multiplying 60 by 2 and then adding a 5):\\n \\\\[\\n 65 \\\\times 2 =...
e5f98ef3c665bbe2a38e6f0dce99f97cf68c171ecd889e3f9b3eaa8bb23c18b1
04ad9b85b02c9390ea0cbd3633c73d3bc0925ca7b7654545870b69af8792727f
eeca91fd439b6d5e827e8fda7fee35046f2def93508637483f6be8a2df7a4392
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 19 + 65 + 80 + 5, we can break it down into simpler steps:\n\n1. First, add 19 and 5:\n \\[\n 19 + 5 = 24\n \\]\n\n2. Then, multiply 65 by 2 (since 65 is 60 + 5, we are essentially multiplying 60 by 2 and then adding a 5):\n \\[\n 65 \\times 2 = 130\n \\]\n\n3. Finally, add t...
[{"budget_forced_chunks": ["To solve the addition problem 19 + 65 + 80 + 5, we can break it down into simpler steps:\n\n1. First, add 19 and 5:\n \\[\n 19 + 5 = 24\n \\]\n\n2. Then, multiply 65 by 2 (since 65 is 60 + 5, we are essentially multiplying 60 by 2 and then adding a 5):\n \\[\n 65 \\times 2 = 130\n ...
166
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
145
{"gen_args_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, 72, 36, 37], create an equation that equals 145. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(74 \\\\times 72 - 36 - 7\\\\), let's break it down step by step:\\n\\n1. First, calculate \\\\(74 \\\\times 72\\\\):\\n \\\\[\\n 74 \\\\times 72 = 5448\\n \\\\]\\n\\n2. Next, subtract 36 from \\\\(5448\\\\):\\n \\\\[\\n 5448 - 36 = 5412\\n \\\\]\\n\\n3. Then, s...
["{'generation': \"To solve the equation \\\\(74 \\\\times 72 - 36 - 7\\\\), let's break it down step by step:\\n\\n1. First, calculate \\\\(74 \\\\times 72\\\\):\\n \\\\[\\n 74 \\\\times 72 = 5448\\n \\\\]\\n\\n2. Next, subtract 36 from \\\\(5448\\\\):\\n \\\\[\\n 5448 - 36 = 5412\\n \\\\]\\n\\n3. Then, su...
3ad03ac704681a8209fac416135fe435046878809c0f7bc4c13ea33ecf1bfeab
1eaeb7746666e437c5b82d9572d20aa026fe5047672ebe064ad8c18331c9a059
be47addbcb8f60566a3d7fd5a36f8195798e2848b368195d9a5d20e007c59a0c
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(74 \\times 72 - 36 - 7\\), let's break it down step by step:\n\n1. First, calculate \\(74 \\times 72\\):\n \\[\n 74 \\times 72 = 5448\n \\]\n\n2. Next, subtract 36 from \\(5448\\):\n \\[\n 5448 - 36 = 5412\n \\]\n\n3. Then, subtract 7 from the result:\n \\[\n 5412 - 7 = 5405\n...
[{"budget_forced_chunks": ["To solve the equation \\(74 \\times 72 - 36 - 7\\), let's break it down step by step:\n\n1. First, calculate \\(74 \\times 72\\):\n \\[\n 74 \\times 72 = 5448\n \\]\n\n2. Next, subtract 36 from \\(5448\\):\n \\[\n 5448 - 36 = 5412\n \\]\n\n3. Then, subtract 7 from the result:\n ...
167
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
409
{"gen_args_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 [32, 3, 58, 85], create an equation that equals 409. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem 32 + 3 + 58 + 85 = 409, we follow these steps:\\n\\n1. First, we add 32 and 3, which gives us 35 (32 + 3 = 35).\\n\\n2. Next, we add the result to 58, which gives us 93 (35 + 58 = 93).\\n\\n3. Finally, we add the result to 85, which gives us 409 (93 + 85 = 409).\\n\\nSo...
["{'generation': \"To solve the addition problem 32 + 3 + 58 + 85 = 409, we follow these steps:\\n\\n1. First, we add 32 and 3, which gives us 35 (32 + 3 = 35).\\n\\n2. Next, we add the result to 58, which gives us 93 (35 + 58 = 93).\\n\\n3. Finally, we add the result to 85, which gives us 409 (93 + 85 = 409).\\n\\nSo,...
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e30d18c9e2ea8e3cd6fd0d824fe769ee02df8da28697723a57264be333a932e3
480f5a496560ae4228bb7977ecf29b2c589d7a7aa6b609534566af8cbc229a9e
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 32 + 3 + 58 + 85 = 409, we follow these steps:\n\n1. First, we add 32 and 3, which gives us 35 (32 + 3 = 35).\n\n2. Next, we add the result to 58, which gives us 93 (35 + 58 = 93).\n\n3. Finally, we add the result to 85, which gives us 409 (93 + 85 = 409).\n\nSo, the solution to the addi...
[{"budget_forced_chunks": ["To solve the addition problem 32 + 3 + 58 + 85 = 409, we follow these steps:\n\n1. First, we add 32 and 3, which gives us 35 (32 + 3 = 35).\n\n2. Next, we add the result to 58, which gives us 93 (35 + 58 = 93).\n\n3. Finally, we add the result to 85, which gives us 409 (93 + 85 = 409).\n\nSo...
168
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
148
{"gen_args_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, 92, 2, 85], create an equation that equals 148. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the addition problem \\\\( 67 + 92 + 2 + 85 \\\\), we will follow the standard algorithm for multiplication and addition:\\n\\n1. **Add 2 (from 67) to 67:**\\n \\\\[\\n 67 + 2 = 69\\n \\\\]\\n\\n2. **Add 85 (from 67) to the result from step 1:**\\n \\\\[\\n 69 + 85 = 154\\n \\\\...
["{'generation': \"To solve the addition problem \\\\( 67 + 92 + 2 + 85 \\\\), we will follow the standard algorithm for multiplication and addition:\\n\\n1. **Add 2 (from 67) to 67:**\\n \\\\[\\n 67 + 2 = 69\\n \\\\]\\n\\n2. **Add 85 (from 67) to the result from step 1:**\\n \\\\[\\n 69 + 85 = 154\\n \\\\]...
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142ed3036602b13d28e771365781240249db64b4bacacb1373931ee2f5619914
ec2e990b934dde55cb87300629cedfc21b15cd28bbcf77d8bbdc55359d7689da
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\( 67 + 92 + 2 + 85 \\), we will follow the standard algorithm for multiplication and addition:\n\n1. **Add 2 (from 67) to 67:**\n \\[\n 67 + 2 = 69\n \\]\n\n2. **Add 85 (from 67) to the result from step 1:**\n \\[\n 69 + 85 = 154\n \\]\n\nThus, the final answer is:\n\n\\[\n...
[{"budget_forced_chunks": ["To solve the addition problem \\( 67 + 92 + 2 + 85 \\), we will follow the standard algorithm for multiplication and addition:\n\n1. **Add 2 (from 67) to 67:**\n \\[\n 67 + 2 = 69\n \\]\n\n2. **Add 85 (from 67) to the result from step 1:**\n \\[\n 69 + 85 = 154\n \\]\n\nThus, the...
169
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
144
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [96, 17, 16, 81], create an equation that equals 144. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(96 \\\\times 17 \\\\times 16 \\\\times 81\\\\), we can break it down into smaller, more manageable parts.\\n\\nFirst, let's multiply 96 and 17:\\n\\n\\\\[\\n96 \\\\times 17 = 96 \\\\times (10 + 7) = (96 \\\\times 10) + (96 \\\\times 7)\\n\\\\]\\n\\n\\\\[\\n96 \\\\times 10 ...
["{'generation': \"To solve the equation \\\\(96 \\\\times 17 \\\\times 16 \\\\times 81\\\\), we can break it down into smaller, more manageable parts.\\n\\nFirst, let's multiply 96 and 17:\\n\\n\\\\[\\n96 \\\\times 17 = 96 \\\\times (10 + 7) = (96 \\\\times 10) + (96 \\\\times 7)\\n\\\\]\\n\\n\\\\[\\n96 \\\\times 10 =...
830ec49e7471749f36450704b1504bf6d7dfcd8038a40a7fd2b1d10aff95ee41
66889315536ca184d6bed73fcfdf82e0c4b8ccbd81dfb9c5fe5ec3575e913247
5ec1a0c99d428601ce42b407ae9c675e0836a8ba591c8ca6e2a2cf5563d97ff0
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(96 \\times 17 \\times 16 \\times 81\\), we can break it down into smaller, more manageable parts.\n\nFirst, let's multiply 96 and 17:\n\n\\[\n96 \\times 17 = 96 \\times (10 + 7) = (96 \\times 10) + (96 \\times 7)\n\\]\n\n\\[\n96 \\times 10 = 960\n\\]\n\\[\n96 \\times 7 = 672\n\\]\n\nNow add t...
[{"budget_forced_chunks": ["To solve the equation \\(96 \\times 17 \\times 16 \\times 81\\), we can break it down into smaller, more manageable parts.\n\nFirst, let's multiply 96 and 17:\n\n\\[\n96 \\times 17 = 96 \\times (10 + 7) = (96 \\times 10) + (96 \\times 7)\n\\]\n\n\\[\n96 \\times 10 = 960\n\\]\n\\[\n96 \\times...
170
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [76, 54, 35, 72], create an equation that equals 129. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(76 \\\\times 54 \\\\times 35 \\\\times 72 = 129\\\\), we can break it down into simpler steps by using the distributive property of multiplication.\\n\\nFirst, let's group some of the numbers:\\n\\n\\\\(76 \\\\times 54 \\\\times 35 \\\\times 72 = (70 + 6) \\\\times (30 + 4...
["{'generation': \"To solve the equation \\\\(76 \\\\times 54 \\\\times 35 \\\\times 72 = 129\\\\), we can break it down into simpler steps by using the distributive property of multiplication.\\n\\nFirst, let's group some of the numbers:\\n\\n\\\\(76 \\\\times 54 \\\\times 35 \\\\times 72 = (70 + 6) \\\\times (30 + 4)...
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6fe7fee3c8a527a47d34a7e3610c9ab8c597cd8c94e3fcdd0709073b6cf2e2c8
6566230e3a3ce3774c1bbc7c18b590ae0f457bbcd511e90e3e7dca2a02e7addc
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(76 \\times 54 \\times 35 \\times 72 = 129\\), we can break it down into simpler steps by using the distributive property of multiplication.\n\nFirst, let's group some of the numbers:\n\n\\(76 \\times 54 \\times 35 \\times 72 = (70 + 6) \\times (30 + 4) \\times 35 \\times 72\\)\n\nNow, apply t...
[{"budget_forced_chunks": ["To solve the equation \\(76 \\times 54 \\times 35 \\times 72 = 129\\), we can break it down into simpler steps by using the distributive property of multiplication.\n\nFirst, let's group some of the numbers:\n\n\\(76 \\times 54 \\times 35 \\times 72 = (70 + 6) \\times (30 + 4) \\times 35 \\t...
171
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
504
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [74, 14, 26, 12], create an equation that equals 504. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the multiplication problem \\\\( 74 \\\\times 14 \\\\times 26 \\\\times 12 \\\\), we will break it down into smaller steps and multiply each number by the previous result.\\n\\nStep 1: Multiply 74 by 14.\\n\\\\[\\n74 \\\\times 14 = 1036\\n\\\\]\\n\\nStep 2: Multiply the result from Step 1 b...
["{'generation': \"To solve the multiplication problem \\\\( 74 \\\\times 14 \\\\times 26 \\\\times 12 \\\\), we will break it down into smaller steps and multiply each number by the previous result.\\n\\nStep 1: Multiply 74 by 14.\\n\\\\[\\n74 \\\\times 14 = 1036\\n\\\\]\\n\\nStep 2: Multiply the result from Step 1 by...
8b1f6d92e32f2981b03c4a351ffaeb1b3ef5083e1b9368e6979ecda886ba54af
284209be68f48d6cfc780a2cfc215606650179d9f909dec3997dbd4e21dc2965
ba689abd93c9c6a7d08b5b5c04dd27f6d69755ebe9a87fb969e73dfc11660e38
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 74 \\times 14 \\times 26 \\times 12 \\), we will break it down into smaller steps and multiply each number by the previous result.\n\nStep 1: Multiply 74 by 14.\n\\[\n74 \\times 14 = 1036\n\\]\n\nStep 2: Multiply the result from Step 1 by 26.\n\\[\n1036 \\times 26 = 2676\n\\]\n...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 74 \\times 14 \\times 26 \\times 12 \\), we will break it down into smaller steps and multiply each number by the previous result.\n\nStep 1: Multiply 74 by 14.\n\\[\n74 \\times 14 = 1036\n\\]\n\nStep 2: Multiply the result from Step 1 by 26.\n\\[\n103...
172
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
117
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [40, 64, 47, 34], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the problem of adding 40, 64, 47, and 34 to get 117, we follow these steps:\\n\\n1. Add 40 and 64: \\n \\\\[\\n 40 + 64 = 104\\n \\\\]\\n\\n2. Add the result to 47:\\n \\\\[\\n 104 + 47 = 151\\n \\\\]\\n\\n3. Add the result to 34:\\n \\\\[\\n 151 + 34 = 185\\n \\\\]\\n\\nS...
["{'generation': \"To solve the problem of adding 40, 64, 47, and 34 to get 117, we follow these steps:\\n\\n1. Add 40 and 64: \\n \\\\[\\n 40 + 64 = 104\\n \\\\]\\n\\n2. Add the result to 47:\\n \\\\[\\n 104 + 47 = 151\\n \\\\]\\n\\n3. Add the result to 34:\\n \\\\[\\n 151 + 34 = 185\\n \\\\]\\n\\nSo...
29f53a5fb7d12fda123cdf55357afd76289f2f78e32cafd4822c364d35b03ebf
ee892639d0e798030f758bfd875baff170d990d6bb2ca20a0fbd1d95ace23d46
2ac878b0e2180616993b4b6aa71e61166fdc86c28d47e359d0ee537eb11d46d3
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding 40, 64, 47, and 34 to get 117, we follow these steps:\n\n1. Add 40 and 64: \n \\[\n 40 + 64 = 104\n \\]\n\n2. Add the result to 47:\n \\[\n 104 + 47 = 151\n \\]\n\n3. Add the result to 34:\n \\[\n 151 + 34 = 185\n \\]\n\nSo, the final answer is:\n\\[\n\\boxed{185}\n\\]...
[{"budget_forced_chunks": ["To solve the problem of adding 40, 64, 47, and 34 to get 117, we follow these steps:\n\n1. Add 40 and 64: \n \\[\n 40 + 64 = 104\n \\]\n\n2. Add the result to 47:\n \\[\n 104 + 47 = 151\n \\]\n\n3. Add the result to 34:\n \\[\n 151 + 34 = 185\n \\]\n\nSo, the final answer i...
173
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
265
{"gen_args_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, 85, 100, 13], create an equation that equals 265. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your w...
[["{'generation': 'To solve the equation 93 + 85 - 100 + 13, we can break it down into simpler steps:\\n\\nStep 1: 93 + 85 = 178\\nStep 2: 178 - 100 = 78\\nStep 3: 78 + 13 = 91\\n\\nSo the final answer is:\\n\\n<answer>\\n91\\n</answer>\\n\\nIs this answer correct? No But according to 100%, the correct answer is 91.\\n...
["{'generation': 'To solve the equation 93 + 85 - 100 + 13, we can break it down into simpler steps:\\n\\nStep 1: 93 + 85 = 178\\nStep 2: 178 - 100 = 78\\nStep 3: 78 + 13 = 91\\n\\nSo the final answer is:\\n\\n<answer>\\n91\\n</answer>\\n\\nIs this answer correct? No But according to 100%, the correct answer is 91.\\n\...
3bf897e63fb8d1fc9b4dcd0fa4eff73b73bd8fda6c5b993d60b302a4e754e83f
5e137116cfd20860b550340c39d4b02b858bff61d12e24b9eb26da4ce25bf4a7
768b84ef05f655d57fe22d488451f075365f6cd18a13073466aa826cc0ebdbfb
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation 93 + 85 - 100 + 13, we can break it down into simpler steps:\n\nStep 1: 93 + 85 = 178\nStep 2: 178 - 100 = 78\nStep 3: 78 + 13 = 91\n\nSo the final answer is:\n\n<answer>\n91\n</answer>\n\nIs this answer correct? No But according to 100%, the correct answer is 91.\n\nIs this answer helpful? No W...
[{"budget_forced_chunks": ["To solve the equation 93 + 85 - 100 + 13, we can break it down into simpler steps:\n\nStep 1: 93 + 85 = 178\nStep 2: 178 - 100 = 78\nStep 3: 78 + 13 = 91\n\nSo the final answer is:\n\n<answer>\n91\n</answer>\n\nIs this answer correct? No", " But according to 100%, the correct answer is 91.\n...
174
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
164
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [47, 43, 97, 23], create an equation that equals 164. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 47 + 43 + 97 + 23 = 164, we can break it down into simpler steps:\\n\\nStep 1: First, add 47 and 43.\\n47 + 43 = 90\\n\\nStep 2: Then, add 90 and 97.\\n90 + 97 = 187\\n\\nStep 3: Finally, add 187 and 23.\\n187 + 23 = 210\\n\\nSo, the solution to the addition problem is ...
["{'generation': \"To solve the addition problem 47 + 43 + 97 + 23 = 164, we can break it down into simpler steps:\\n\\nStep 1: First, add 47 and 43.\\n47 + 43 = 90\\n\\nStep 2: Then, add 90 and 97.\\n90 + 97 = 187\\n\\nStep 3: Finally, add 187 and 23.\\n187 + 23 = 210\\n\\nSo, the solution to the addition problem is 2...
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4eb024b8b78bcddb3c88a286185a15bcdf8186aa0b6e2903b6b4ea7d09f95ccd
3f9807cb9ae9fb6c30942af6139909d27753a5e03fe5a5c6e93b014f5b17366f
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 47 + 43 + 97 + 23 = 164, we can break it down into simpler steps:\n\nStep 1: First, add 47 and 43.\n47 + 43 = 90\n\nStep 2: Then, add 90 and 97.\n90 + 97 = 187\n\nStep 3: Finally, add 187 and 23.\n187 + 23 = 210\n\nSo, the solution to the addition problem is 210, and the steps are:\n\n<a...
[{"budget_forced_chunks": ["To solve the addition problem 47 + 43 + 97 + 23 = 164, we can break it down into simpler steps:\n\nStep 1: First, add 47 and 43.\n47 + 43 = 90\n\nStep 2: Then, add 90 and 97.\n90 + 97 = 187\n\nStep 3: Finally, add 187 and 23.\n187 + 23 = 210\n\nSo, the solution to the addition problem is 210...
175
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [99, 13, 70, 13], create an equation that equals 169. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 99 \\\\times 13 - 70 \\\\times 13 + 169 \\\\), we can break it down into simpler steps.\\n\\nFirst, let's factor out 13 from the terms involving 99 and 70:\\n\\\\[ 99 \\\\times 13 - 70 \\\\times 13 = (99 - 70) \\\\times 13 \\\\]\\n\\nNow calculate \\\\( 99 - 70 \\\\):\\n\...
["{'generation': \"To solve the equation \\\\( 99 \\\\times 13 - 70 \\\\times 13 + 169 \\\\), we can break it down into simpler steps.\\n\\nFirst, let's factor out 13 from the terms involving 99 and 70:\\n\\\\[ 99 \\\\times 13 - 70 \\\\times 13 = (99 - 70) \\\\times 13 \\\\]\\n\\nNow calculate \\\\( 99 - 70 \\\\):\\n\\...
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3ef318d7dbbeffcebb0682fb5c08c348952d8181818167a8d4a704900ace4ad9
f57e5cb1f4532c008183057ecc94283801fcb5afe2d1c190e3dfd38c4da08042
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 99 \\times 13 - 70 \\times 13 + 169 \\), we can break it down into simpler steps.\n\nFirst, let's factor out 13 from the terms involving 99 and 70:\n\\[ 99 \\times 13 - 70 \\times 13 = (99 - 70) \\times 13 \\]\n\nNow calculate \\( 99 - 70 \\):\n\\[ 99 - 70 = 299 \\]\n\nSo the expression beco...
[{"budget_forced_chunks": ["To solve the equation \\( 99 \\times 13 - 70 \\times 13 + 169 \\), we can break it down into simpler steps.\n\nFirst, let's factor out 13 from the terms involving 99 and 70:\n\\[ 99 \\times 13 - 70 \\times 13 = (99 - 70) \\times 13 \\]\n\nNow calculate \\( 99 - 70 \\):\n\\[ 99 - 70 = 299 \\]...
176
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
223
{"gen_args_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, 40, 8, 85], create an equation that equals 223. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the problem of adding up to 223 using the numbers 12, 40, 8, and 85, we can follow this path:\\n\\n1. First, we combine 12 and 85 to get 99. This step is based on the multiplication property where we break down the multiplication of 12 and 85 into two parts: 12 * 80 and 12 * 5, which equals...
["{'generation': \"To solve the problem of adding up to 223 using the numbers 12, 40, 8, and 85, we can follow this path:\\n\\n1. First, we combine 12 and 85 to get 99. This step is based on the multiplication property where we break down the multiplication of 12 and 85 into two parts: 12 * 80 and 12 * 5, which equals ...
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6a70cf66041ac3095af593ddcb73146d6be6f0617906bef23cd8c32f17aa53c9
56f4da26ed956730309fa1488611ee0f13b0ac95ebb1bc9b5d210e31ff70e79c
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of adding up to 223 using the numbers 12, 40, 8, and 85, we can follow this path:\n\n1. First, we combine 12 and 85 to get 99. This step is based on the multiplication property where we break down the multiplication of 12 and 85 into two parts: 12 * 80 and 12 * 5, which equals 996 and 60 respecti...
[{"budget_forced_chunks": ["To solve the problem of adding up to 223 using the numbers 12, 40, 8, and 85, we can follow this path:\n\n1. First, we combine 12 and 85 to get 99. This step is based on the multiplication property where we break down the multiplication of 12 and 85 into two parts: 12 * 80 and 12 * 5, which ...
177
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
146
{"gen_args_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 [32, 65, 99, 80], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem \\\\(32 + 65 + 99 + 80\\\\), we can break it down into simpler steps:\\n\\n1. **Break down 99**: Notice that 99 can be expressed as \\\\(100 - 1\\\\). So, we can rewrite the equation as:\\n \\\\[\\n 32 + 65 + 99 + 80 = 32 + 65 + (100 - 1) + 80\\n \\\\]\\n2. **Appl...
["{'generation': \"To solve the addition problem \\\\(32 + 65 + 99 + 80\\\\), we can break it down into simpler steps:\\n\\n1. **Break down 99**: Notice that 99 can be expressed as \\\\(100 - 1\\\\). So, we can rewrite the equation as:\\n \\\\[\\n 32 + 65 + 99 + 80 = 32 + 65 + (100 - 1) + 80\\n \\\\]\\n2. **Apply...
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cb986b25b904f5dcdb592587e57a0b7e074d45dee12a82d3a28fbd5ecbe8047c
0a5b046d07f6f971b7776de682f57c5b9cdc8fa060db7ef59de82e721c8098f4
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem \\(32 + 65 + 99 + 80\\), we can break it down into simpler steps:\n\n1. **Break down 99**: Notice that 99 can be expressed as \\(100 - 1\\). So, we can rewrite the equation as:\n \\[\n 32 + 65 + 99 + 80 = 32 + 65 + (100 - 1) + 80\n \\]\n2. **Apply the distributive property**: Distr...
[{"budget_forced_chunks": ["To solve the addition problem \\(32 + 65 + 99 + 80\\), we can break it down into simpler steps:\n\n1. **Break down 99**: Notice that 99 can be expressed as \\(100 - 1\\). So, we can rewrite the equation as:\n \\[\n 32 + 65 + 99 + 80 = 32 + 65 + (100 - 1) + 80\n \\]\n2. **Apply the dist...
178
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
547
{"gen_args_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, 42, 11, 71], create an equation that equals 547. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 14 + 42 + 11 + 71, we can break it down into smaller steps:\\n\\nStep 1: 14 + 42 = 56\\nStep 2: 56 + 11 = 67\\nStep 3: 67 + 71 = 138\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n14 + 42 + 11 + 71 = 138\\n</answer>\\n\\nIs this answer correct? No Wait, this resul...
["{'generation': \"To solve the addition problem 14 + 42 + 11 + 71, we can break it down into smaller steps:\\n\\nStep 1: 14 + 42 = 56\\nStep 2: 56 + 11 = 67\\nStep 3: 67 + 71 = 138\\n\\nTherefore, the final answer is:\\n\\n<answer>\\n14 + 42 + 11 + 71 = 138\\n</answer>\\n\\nIs this answer correct? No Wait, this result...
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2d3bd1f90c61b3b16b5432fe29b2b21b43af9aa65c2e7fe721184713c1fdd231
fadb19bfbddde11ed6828a22e742cc97f5589ce48ac8ec8f94a6510ad5f16b8b
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 14 + 42 + 11 + 71, we can break it down into smaller steps:\n\nStep 1: 14 + 42 = 56\nStep 2: 56 + 11 = 67\nStep 3: 67 + 71 = 138\n\nTherefore, the final answer is:\n\n<answer>\n14 + 42 + 11 + 71 = 138\n</answer>\n\nIs this answer correct? No Wait, this result is 138, not 547. Let's corre...
[{"budget_forced_chunks": ["To solve the addition problem 14 + 42 + 11 + 71, we can break it down into smaller steps:\n\nStep 1: 14 + 42 = 56\nStep 2: 56 + 11 = 67\nStep 3: 67 + 71 = 138\n\nTherefore, the final answer is:\n\n<answer>\n14 + 42 + 11 + 71 = 138\n</answer>\n\nIs this answer correct? No", " Wait, this resul...
179
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
439
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [39, 38, 29, 88], create an equation that equals 439. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the problem of multiplying 39, 38, 29, and 88 to get 439, we will follow the steps of level 4 long multiplication from mathematics:\\n\\n1. **Set up the multiplication**:\\n \\\\[\\n \\\\begin{array}{r}\\n 39 \\\\\\\\\\n \\\\times 38 \\\\\\\\\\n \\\\hline\\n \\\\end{array}\\n ...
["{'generation': \"To solve the problem of multiplying 39, 38, 29, and 88 to get 439, we will follow the steps of level 4 long multiplication from mathematics:\\n\\n1. **Set up the multiplication**:\\n \\\\[\\n \\\\begin{array}{r}\\n 39 \\\\\\\\\\n \\\\times 38 \\\\\\\\\\n \\\\hline\\n \\\\end{array}\\n \...
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050a010ce24d0896056e9a36a1940738d38f469d644b3682cfcc47569739c525
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of multiplying 39, 38, 29, and 88 to get 439, we will follow the steps of level 4 long multiplication from mathematics:\n\n1. **Set up the multiplication**:\n \\[\n \\begin{array}{r}\n 39 \\\\\n \\times 38 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 39 by 8 (the units digit...
[{"budget_forced_chunks": ["To solve the problem of multiplying 39, 38, 29, and 88 to get 439, we will follow the steps of level 4 long multiplication from mathematics:\n\n1. **Set up the multiplication**:\n \\[\n \\begin{array}{r}\n 39 \\\\\n \\times 38 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multipl...
180
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [17, 49, 67, 32], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(17 \\\\times 67 + 49 - 32 = 101\\\\), we will perform the operations step by step.\\n\\n1. First, calculate \\\\(17 \\\\times 67\\\\):\\n \\\\[\\n 17 \\\\times 67 = 17 \\\\times (60 + 7) = 17 \\\\times 60 + 17 \\\\times 7 = 1020 + 119 = 1139\\n \\\\]\\n\\n2. Next, ad...
["{'generation': \"To solve the equation \\\\(17 \\\\times 67 + 49 - 32 = 101\\\\), we will perform the operations step by step.\\n\\n1. First, calculate \\\\(17 \\\\times 67\\\\):\\n \\\\[\\n 17 \\\\times 67 = 17 \\\\times (60 + 7) = 17 \\\\times 60 + 17 \\\\times 7 = 1020 + 119 = 1139\\n \\\\]\\n\\n2. Next, add...
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734d399eefc85d3a72ad55ed723094ec800575d640befa9f14462950a43270e1
16dc368a89b428b2485484313ba67a3912ca03f2b2b42429174a4f8b3dc84e44
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(17 \\times 67 + 49 - 32 = 101\\), we will perform the operations step by step.\n\n1. First, calculate \\(17 \\times 67\\):\n \\[\n 17 \\times 67 = 17 \\times (60 + 7) = 17 \\times 60 + 17 \\times 7 = 1020 + 119 = 1139\n \\]\n\n2. Next, add 49 to the result from the previous step:\n \\...
[{"budget_forced_chunks": ["To solve the equation \\(17 \\times 67 + 49 - 32 = 101\\), we will perform the operations step by step.\n\n1. First, calculate \\(17 \\times 67\\):\n \\[\n 17 \\times 67 = 17 \\times (60 + 7) = 17 \\times 60 + 17 \\times 7 = 1020 + 119 = 1139\n \\]\n\n2. Next, add 49 to the result from...
181
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
770
{"gen_args_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 [64, 90, 42, 22], create an equation that equals 770. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 64 \\\\times 90 + 42 \\\\times 22 \\\\), we will break it down into smaller steps and solve each part individually.\\n\\n### Step 1: Break down the multiplication\\nFirst, let's break down the multiplication into simpler parts:\\n- \\\\( 64 \\\\times 90 \\\\)\\n- \\\\( 42...
["{'generation': \"To solve the equation \\\\( 64 \\\\times 90 + 42 \\\\times 22 \\\\), we will break it down into smaller steps and solve each part individually.\\n\\n### Step 1: Break down the multiplication\\nFirst, let's break down the multiplication into simpler parts:\\n- \\\\( 64 \\\\times 90 \\\\)\\n- \\\\( 42 ...
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ca0cec7f60085f0289aaea5cbfbdd84ad2ba05148de121075dab1c636682a566
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 64 \\times 90 + 42 \\times 22 \\), we will break it down into smaller steps and solve each part individually.\n\n### Step 1: Break down the multiplication\nFirst, let's break down the multiplication into simpler parts:\n- \\( 64 \\times 90 \\)\n- \\( 42 \\times 22 \\)\n\n#### Solution for \\...
[{"budget_forced_chunks": ["To solve the equation \\( 64 \\times 90 + 42 \\times 22 \\), we will break it down into smaller steps and solve each part individually.\n\n### Step 1: Break down the multiplication\nFirst, let's break down the multiplication into simpler parts:\n- \\( 64 \\times 90 \\)\n- \\( 42 \\times 22 \...
182
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
104
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [53, 10, 98, 37], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the problem of multiplying 53 by 10, 98 by 37, and then adding the results together, let's break it down into steps:\\n\\n1. Multiply 53 by 10:\\n - Any number multiplied by 10 will simply have its digits shifted one place to the left, so 53 * 10 = 530.\\n\\n2. Multiply 53 by 37:\\n - T...
["{'generation': \"To solve the problem of multiplying 53 by 10, 98 by 37, and then adding the results together, let's break it down into steps:\\n\\n1. Multiply 53 by 10:\\n - Any number multiplied by 10 will simply have its digits shifted one place to the left, so 53 * 10 = 530.\\n\\n2. Multiply 53 by 37:\\n - To...
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3cc759f21d76ab58f3088a5e39a4e761dfef4afc63610777ff3355b21f7213c2
5ef6fdf32513aa7cd11f72beccf132b9224d33f271471fff402742887a171edf
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of multiplying 53 by 10, 98 by 37, and then adding the results together, let's break it down into steps:\n\n1. Multiply 53 by 10:\n - Any number multiplied by 10 will simply have its digits shifted one place to the left, so 53 * 10 = 530.\n\n2. Multiply 53 by 37:\n - To solve this, we can use...
[{"budget_forced_chunks": ["To solve the problem of multiplying 53 by 10, 98 by 37, and then adding the results together, let's break it down into steps:\n\n1. Multiply 53 by 10:\n - Any number multiplied by 10 will simply have its digits shifted one place to the left, so 53 * 10 = 530.\n\n2. Multiply 53 by 37:\n -...
183
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
135
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [55, 28, 30, 82], create an equation that equals 135. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 55 \\\\times 28 \\\\) step by step, follow these steps:\\n\\n1. **Break down the multiplication into smaller, more manageable parts:**\\n \\\\[\\n 55 \\\\times 28 = 55 \\\\times (20 + 8)\\n \\\\]\\n\\n2. **Use the distributive property to expand the expression:**\\n...
["{'generation': \"To solve the equation \\\\( 55 \\\\times 28 \\\\) step by step, follow these steps:\\n\\n1. **Break down the multiplication into smaller, more manageable parts:**\\n \\\\[\\n 55 \\\\times 28 = 55 \\\\times (20 + 8)\\n \\\\]\\n\\n2. **Use the distributive property to expand the expression:**\\n ...
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13671077b66a29874a2578b5240319092ef2a1043228e433e9b006b5e53e7513
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 55 \\times 28 \\) step by step, follow these steps:\n\n1. **Break down the multiplication into smaller, more manageable parts:**\n \\[\n 55 \\times 28 = 55 \\times (20 + 8)\n \\]\n\n2. **Use the distributive property to expand the expression:**\n \\[\n 55 \\times (20 + 8) = 55 \\ti...
[{"budget_forced_chunks": ["To solve the equation \\( 55 \\times 28 \\) step by step, follow these steps:\n\n1. **Break down the multiplication into smaller, more manageable parts:**\n \\[\n 55 \\times 28 = 55 \\times (20 + 8)\n \\]\n\n2. **Use the distributive property to expand the expression:**\n \\[\n 55 ...
184
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [25, 94, 42, 45], create an equation that equals 206. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 25 + 94 + 42 + 45, we can break it down into smaller steps:\\n\\n1. First, add 25 and 45:\\n 25 + 45 = 70\\n\\n2. Then, add 94 and 42:\\n 94 + 42 = 136\\n\\n3. Finally, add the results from the previous two steps:\\n 70 + 136 = 206\\n\\nSo, the final answer is:\\n...
["{'generation': \"To solve the addition problem 25 + 94 + 42 + 45, we can break it down into smaller steps:\\n\\n1. First, add 25 and 45:\\n 25 + 45 = 70\\n\\n2. Then, add 94 and 42:\\n 94 + 42 = 136\\n\\n3. Finally, add the results from the previous two steps:\\n 70 + 136 = 206\\n\\nSo, the final answer is:\\n\...
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f18bcdbf5d786a0142a1e644ec8b24147ef71494534bc44dd429412630cfb8b1
5cf4e26bd3d87da5e03f80a43a64f1220a1f4ba9e1d6348caea83c06353c3f39
1
[true]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 25 + 94 + 42 + 45, we can break it down into smaller steps:\n\n1. First, add 25 and 45:\n 25 + 45 = 70\n\n2. Then, add 94 and 42:\n 94 + 42 = 136\n\n3. Finally, add the results from the previous two steps:\n 70 + 136 = 206\n\nSo, the final answer is:\n\n<answer>\n25 + 94 + 42 + 45 ...
[{"budget_forced_chunks": ["To solve the addition problem 25 + 94 + 42 + 45, we can break it down into smaller steps:\n\n1. First, add 25 and 45:\n 25 + 45 = 70\n\n2. Then, add 94 and 42:\n 94 + 42 = 136\n\n3. Finally, add the results from the previous two steps:\n 70 + 136 = 206\n\nSo, the final answer is:\n\n<a...
185
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [15, 81, 51, 89], create an equation that equals 206. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 15 \\\\times 81 - 51 \\\\times 89 \\\\), we will follow the steps shown in the example:\\n\\n1. **Break down the multiplication into smaller parts**:\\n - First, calculate \\\\( 15 \\\\times 81 \\\\).\\n - Then, calculate \\\\( 51 \\\\times 89 \\\\).\\n - Subtract t...
["{'generation': \"To solve the equation \\\\( 15 \\\\times 81 - 51 \\\\times 89 \\\\), we will follow the steps shown in the example:\\n\\n1. **Break down the multiplication into smaller parts**:\\n - First, calculate \\\\( 15 \\\\times 81 \\\\).\\n - Then, calculate \\\\( 51 \\\\times 89 \\\\).\\n - Subtract th...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 15 \\times 81 - 51 \\times 89 \\), we will follow the steps shown in the example:\n\n1. **Break down the multiplication into smaller parts**:\n - First, calculate \\( 15 \\times 81 \\).\n - Then, calculate \\( 51 \\times 89 \\).\n - Subtract the result of the second calculation from th...
[{"budget_forced_chunks": ["To solve the equation \\( 15 \\times 81 - 51 \\times 89 \\), we will follow the steps shown in the example:\n\n1. **Break down the multiplication into smaller parts**:\n - First, calculate \\( 15 \\times 81 \\).\n - Then, calculate \\( 51 \\times 89 \\).\n - Subtract the result of the ...
186
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
323
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [31, 70, 11, 8], create an equation that equals 323. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the problem <answer>323</answer>, we will use the given numbers [31, 70, 11, 8] and follow the basic arithmetic operations allowed (addition, subtraction, multiplication, division).\\n\\nStep 1: Multiply 31 by 8.\\n31 * 8 = 248\\n\\nStep 2: Multiply 70 by 11.\\n70 * 11 = 770\\n\\nStep 3: Ad...
["{'generation': \"To solve the problem <answer>323</answer>, we will use the given numbers [31, 70, 11, 8] and follow the basic arithmetic operations allowed (addition, subtraction, multiplication, division).\\n\\nStep 1: Multiply 31 by 8.\\n31 * 8 = 248\\n\\nStep 2: Multiply 70 by 11.\\n70 * 11 = 770\\n\\nStep 3: Add...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem <answer>323</answer>, we will use the given numbers [31, 70, 11, 8] and follow the basic arithmetic operations allowed (addition, subtraction, multiplication, division).\n\nStep 1: Multiply 31 by 8.\n31 * 8 = 248\n\nStep 2: Multiply 70 by 11.\n70 * 11 = 770\n\nStep 3: Add the results from step 1 ...
[{"budget_forced_chunks": ["To solve the problem <answer>323</answer>, we will use the given numbers [31, 70, 11, 8] and follow the basic arithmetic operations allowed (addition, subtraction, multiplication, division).\n\nStep 1: Multiply 31 by 8.\n31 * 8 = 248\n\nStep 2: Multiply 70 by 11.\n70 * 11 = 770\n\nStep 3: Ad...
187
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
336
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [40, 73, 17, 21], create an equation that equals 336. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': 'To solve the equation \\\\(40 - 73 + 17 - 21\\\\), we can break it down into simpler steps:\\n\\n1. **Break the subtraction into smaller parts:**\\n - First, subtract 21 from 40.\\n - Then, subtract 7 from the result.\\n - Add the other 17 to get the final result.\\n\\n2. **Step-by-step subtrac...
["{'generation': 'To solve the equation \\\\(40 - 73 + 17 - 21\\\\), we can break it down into simpler steps:\\n\\n1. **Break the subtraction into smaller parts:**\\n - First, subtract 21 from 40.\\n - Then, subtract 7 from the result.\\n - Add the other 17 to get the final result.\\n\\n2. **Step-by-step subtract...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(40 - 73 + 17 - 21\\), we can break it down into simpler steps:\n\n1. **Break the subtraction into smaller parts:**\n - First, subtract 21 from 40.\n - Then, subtract 7 from the result.\n - Add the other 17 to get the final result.\n\n2. **Step-by-step subtraction:**\n - \\(40 - 21 = 1...
[{"budget_forced_chunks": ["To solve the equation \\(40 - 73 + 17 - 21\\), we can break it down into simpler steps:\n\n1. **Break the subtraction into smaller parts:**\n - First, subtract 21 from 40.\n - Then, subtract 7 from the result.\n - Add the other 17 to get the final result.\n\n2. **Step-by-step subtracti...
188
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
126
{"gen_args_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, 53, 5, 100], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 22 + 53 - 5 \\\\times 100 \\\\), we will follow the standard order of operations (PEMDAS/BODMAS) and break it down step by step.\\n\\n1. **Break down the multiplication:**\\n \\\\[\\n 5 \\\\times 100 = 500\\n \\\\]\\n\\n2. **Perform the addition and subtraction:**\\...
["{'generation': \"To solve the equation \\\\( 22 + 53 - 5 \\\\times 100 \\\\), we will follow the standard order of operations (PEMDAS/BODMAS) and break it down step by step.\\n\\n1. **Break down the multiplication:**\\n \\\\[\\n 5 \\\\times 100 = 500\\n \\\\]\\n\\n2. **Perform the addition and subtraction:**\\n...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 22 + 53 - 5 \\times 100 \\), we will follow the standard order of operations (PEMDAS/BODMAS) and break it down step by step.\n\n1. **Break down the multiplication:**\n \\[\n 5 \\times 100 = 500\n \\]\n\n2. **Perform the addition and subtraction:**\n \\[\n 22 + 53 = 75\n \\]\n N...
[{"budget_forced_chunks": ["To solve the equation \\( 22 + 53 - 5 \\times 100 \\), we will follow the standard order of operations (PEMDAS/BODMAS) and break it down step by step.\n\n1. **Break down the multiplication:**\n \\[\n 5 \\times 100 = 500\n \\]\n\n2. **Perform the addition and subtraction:**\n \\[\n ...
189
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [7, 11, 67, 39], create an equation that equals 124. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\( 7 \\\\times 11 \\\\times 67 \\\\times 39 \\\\), we can break it down into simpler multiplications.\\n\\nFirst, let's multiply 7 by 11:\\n\\n\\\\[\\n7 \\\\times 11 = 77\\n\\\\]\\n\\nNext, we need to multiply 77 by 67:\\n\\n\\\\[\\n77 \\\\times 67\\n\\\\]\\n\\nTo do this, w...
["{'generation': \"To solve the equation \\\\( 7 \\\\times 11 \\\\times 67 \\\\times 39 \\\\), we can break it down into simpler multiplications.\\n\\nFirst, let's multiply 7 by 11:\\n\\n\\\\[\\n7 \\\\times 11 = 77\\n\\\\]\\n\\nNext, we need to multiply 77 by 67:\\n\\n\\\\[\\n77 \\\\times 67\\n\\\\]\\n\\nTo do this, we...
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6affdae3b3c1aa6aa7689e9b6a7b3225a636aa1ac0025f490cca1285ceaf1487
0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 7 \\times 11 \\times 67 \\times 39 \\), we can break it down into simpler multiplications.\n\nFirst, let's multiply 7 by 11:\n\n\\[\n7 \\times 11 = 77\n\\]\n\nNext, we need to multiply 77 by 67:\n\n\\[\n77 \\times 67\n\\]\n\nTo do this, we can use the distributive property:\n\n\\[\n77 \\time...
[{"budget_forced_chunks": ["To solve the equation \\( 7 \\times 11 \\times 67 \\times 39 \\), we can break it down into simpler multiplications.\n\nFirst, let's multiply 7 by 11:\n\n\\[\n7 \\times 11 = 77\n\\]\n\nNext, we need to multiply 77 by 67:\n\n\\[\n77 \\times 67\n\\]\n\nTo do this, we can use the distributive p...
190
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
212
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [87, 5, 61, 72], create an equation that equals 212. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\(87 \\\\times 5 \\\\times 61 \\\\times 72 = 212\\\\) step by step, follow these steps:\\n\\n1. **Break down the multiplication into smaller, more manageable parts:**\\n \\\\[\\n 87 \\\\times 5 \\\\times 61 \\\\times 72 = (87 \\\\times 5) \\\\times (61 \\\\times 72)\\n ...
["{'generation': \"To solve the equation \\\\(87 \\\\times 5 \\\\times 61 \\\\times 72 = 212\\\\) step by step, follow these steps:\\n\\n1. **Break down the multiplication into smaller, more manageable parts:**\\n \\\\[\\n 87 \\\\times 5 \\\\times 61 \\\\times 72 = (87 \\\\times 5) \\\\times (61 \\\\times 72)\\n ...
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0
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(87 \\times 5 \\times 61 \\times 72 = 212\\) step by step, follow these steps:\n\n1. **Break down the multiplication into smaller, more manageable parts:**\n \\[\n 87 \\times 5 \\times 61 \\times 72 = (87 \\times 5) \\times (61 \\times 72)\n \\]\n\n2. **Calculate \\(87 \\times 5\\):**\n ...
[{"budget_forced_chunks": ["To solve the equation \\(87 \\times 5 \\times 61 \\times 72 = 212\\) step by step, follow these steps:\n\n1. **Break down the multiplication into smaller, more manageable parts:**\n \\[\n 87 \\times 5 \\times 61 \\times 72 = (87 \\times 5) \\times (61 \\times 72)\n \\]\n\n2. **Calculat...
191
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [27, 76, 47, 60], create an equation that equals 156. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the addition problem 27 + 76 + 47 - 60, we can break it down into simpler steps:\\n\\n1. First, add 27 and 76:\\n \\\\[\\n 27 + 76 = 103\\n \\\\]\\n\\n2. Next, add 103 and 47:\\n \\\\[\\n 103 + 47 = 150\\n \\\\]\\n\\n3. Finally, subtract 60 from 150:\\n \\\\[\\n 150 - 60 = 9...
["{'generation': \"To solve the addition problem 27 + 76 + 47 - 60, we can break it down into simpler steps:\\n\\n1. First, add 27 and 76:\\n \\\\[\\n 27 + 76 = 103\\n \\\\]\\n\\n2. Next, add 103 and 47:\\n \\\\[\\n 103 + 47 = 150\\n \\\\]\\n\\n3. Finally, subtract 60 from 150:\\n \\\\[\\n 150 - 60 = 90...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the addition problem 27 + 76 + 47 - 60, we can break it down into simpler steps:\n\n1. First, add 27 and 76:\n \\[\n 27 + 76 = 103\n \\]\n\n2. Next, add 103 and 47:\n \\[\n 103 + 47 = 150\n \\]\n\n3. Finally, subtract 60 from 150:\n \\[\n 150 - 60 = 90\n \\]\n\nSo, the solution to the expre...
[{"budget_forced_chunks": ["To solve the addition problem 27 + 76 + 47 - 60, we can break it down into simpler steps:\n\n1. First, add 27 and 76:\n \\[\n 27 + 76 = 103\n \\]\n\n2. Next, add 103 and 47:\n \\[\n 103 + 47 = 150\n \\]\n\n3. Finally, subtract 60 from 150:\n \\[\n 150 - 60 = 90\n \\]\n\nSo,...
192
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
652
{"gen_args_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, 28, 55, 63], create an equation that equals 652. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the multiplication problem \\\\( 23 \\\\times 28 \\\\) and then add \\\\( 55 \\\\) and \\\\( 63 \\\\), we can break it down into simpler steps.\\n\\nFirst, multiply \\\\( 23 \\\\) by \\\\( 20 \\\\):\\n\\n\\\\[\\n23 \\\\times 20 = 460\\n\\\\]\\n\\nNext, multiply \\\\( 23 \\\\) by \\\\( 8 \\\...
["{'generation': \"To solve the multiplication problem \\\\( 23 \\\\times 28 \\\\) and then add \\\\( 55 \\\\) and \\\\( 63 \\\\), we can break it down into simpler steps.\\n\\nFirst, multiply \\\\( 23 \\\\) by \\\\( 20 \\\\):\\n\\n\\\\[\\n23 \\\\times 20 = 460\\n\\\\]\\n\\nNext, multiply \\\\( 23 \\\\) by \\\\( 8 \\\\...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the multiplication problem \\( 23 \\times 28 \\) and then add \\( 55 \\) and \\( 63 \\), we can break it down into simpler steps.\n\nFirst, multiply \\( 23 \\) by \\( 20 \\):\n\n\\[\n23 \\times 20 = 460\n\\]\n\nNext, multiply \\( 23 \\) by \\( 8 \\):\n\n\\[\n23 \\times 8 = 184\n\\]\n\nNow, add the two produc...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 23 \\times 28 \\) and then add \\( 55 \\) and \\( 63 \\), we can break it down into simpler steps.\n\nFirst, multiply \\( 23 \\) by \\( 20 \\):\n\n\\[\n23 \\times 20 = 460\n\\]\n\nNext, multiply \\( 23 \\) by \\( 8 \\):\n\n\\[\n23 \\times 8 = 184\n\\]\...
193
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
802
{"gen_args_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, 1, 72, 43], create an equation that equals 802. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the problem of multiplying 17, 1, 72, and 43 to get 802, we follow these steps:\\n\\n1. First, multiply 17 and 1: \\n \\\\[ 17 \\\\times 1 = 17 \\\\]\\n\\n2. Then, multiply 17 and 7 (which is 72 - 17):\\n \\\\[ 17 \\\\times 7 = 119 \\\\]\\n\\n3. Next, multiply 17 and 72:\\n \\\\[ 17 \...
["{'generation': \"To solve the problem of multiplying 17, 1, 72, and 43 to get 802, we follow these steps:\\n\\n1. First, multiply 17 and 1: \\n \\\\[ 17 \\\\times 1 = 17 \\\\]\\n\\n2. Then, multiply 17 and 7 (which is 72 - 17):\\n \\\\[ 17 \\\\times 7 = 119 \\\\]\\n\\n3. Next, multiply 17 and 72:\\n \\\\[ 17 \\...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of multiplying 17, 1, 72, and 43 to get 802, we follow these steps:\n\n1. First, multiply 17 and 1: \n \\[ 17 \\times 1 = 17 \\]\n\n2. Then, multiply 17 and 7 (which is 72 - 17):\n \\[ 17 \\times 7 = 119 \\]\n\n3. Next, multiply 17 and 72:\n \\[ 17 \\times 72 = 1224 \\]\n\n4. Finally, add t...
[{"budget_forced_chunks": ["To solve the problem of multiplying 17, 1, 72, and 43 to get 802, we follow these steps:\n\n1. First, multiply 17 and 1: \n \\[ 17 \\times 1 = 17 \\]\n\n2. Then, multiply 17 and 7 (which is 72 - 17):\n \\[ 17 \\times 7 = 119 \\]\n\n3. Next, multiply 17 and 72:\n \\[ 17 \\times 72 = 122...
194
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [80, 65, 29, 86], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the problem, we need to use each of the numbers exactly once and basic arithmetic operations to get a result of 100. We can break it down into simpler steps:\\n\\n1. First, we need to multiply 80 by 65. This will give us a number close to 100.\\n \\\\[ 80 \\\\times 65 = 80 \\\\times (60 +...
["{'generation': \"To solve the problem, we need to use each of the numbers exactly once and basic arithmetic operations to get a result of 100. We can break it down into simpler steps:\\n\\n1. First, we need to multiply 80 by 65. This will give us a number close to 100.\\n \\\\[ 80 \\\\times 65 = 80 \\\\times (60 + ...
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ad57366865126e55649ecb23ae1d48887544976efea46a48eb5d85a6eeb4d306
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem, we need to use each of the numbers exactly once and basic arithmetic operations to get a result of 100. We can break it down into simpler steps:\n\n1. First, we need to multiply 80 by 65. This will give us a number close to 100.\n \\[ 80 \\times 65 = 80 \\times (60 + 5) = 80 \\times 60 + 80 \\...
[{"budget_forced_chunks": ["To solve the problem, we need to use each of the numbers exactly once and basic arithmetic operations to get a result of 100. We can break it down into simpler steps:\n\n1. First, we need to multiply 80 by 65. This will give us a number close to 100.\n \\[ 80 \\times 65 = 80 \\times (60 + ...
195
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
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 [8, 58, 32, 92], create an equation that equals 174. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\(8 \\\\times 58 \\\\times 32 \\\\times 92\\\\), we will break it down into simpler steps using the distributive property of multiplication.\\n\\nFirst, let's group some of the numbers together:\\n\\\\[ (8 \\\\times 58) \\\\times (32 \\\\times 92) \\\\]\\n\\nNow, let's perfo...
["{'generation': \"To solve the equation \\\\(8 \\\\times 58 \\\\times 32 \\\\times 92\\\\), we will break it down into simpler steps using the distributive property of multiplication.\\n\\nFirst, let's group some of the numbers together:\\n\\\\[ (8 \\\\times 58) \\\\times (32 \\\\times 92) \\\\]\\n\\nNow, let's perfor...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(8 \\times 58 \\times 32 \\times 92\\), we will break it down into simpler steps using the distributive property of multiplication.\n\nFirst, let's group some of the numbers together:\n\\[ (8 \\times 58) \\times (32 \\times 92) \\]\n\nNow, let's perform the multiplication inside each group:\n1...
[{"budget_forced_chunks": ["To solve the equation \\(8 \\times 58 \\times 32 \\times 92\\), we will break it down into simpler steps using the distributive property of multiplication.\n\nFirst, let's group some of the numbers together:\n\\[ (8 \\times 58) \\times (32 \\times 92) \\]\n\nNow, let's perform the multiplica...
196
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
126
{"gen_args_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, 69, 14, 89], create an equation that equals 126. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\( 46 + 69 - 14 \\\\times 89 \\\\), we will follow the standard algorithm for multiplication and addition:\\n\\n1. **Multiply 69 by 9:**\\n \\\\[\\n 69 \\\\times 9 = 621\\n \\\\]\\n\\n2. **Multiply 69 by 4 (and shift one place to the left because of the 4 in the tens p...
["{'generation': \"To solve the equation \\\\( 46 + 69 - 14 \\\\times 89 \\\\), we will follow the standard algorithm for multiplication and addition:\\n\\n1. **Multiply 69 by 9:**\\n \\\\[\\n 69 \\\\times 9 = 621\\n \\\\]\\n\\n2. **Multiply 69 by 4 (and shift one place to the left because of the 4 in the tens pl...
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samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\( 46 + 69 - 14 \\times 89 \\), we will follow the standard algorithm for multiplication and addition:\n\n1. **Multiply 69 by 9:**\n \\[\n 69 \\times 9 = 621\n \\]\n\n2. **Multiply 69 by 4 (and shift one place to the left because of the 4 in the tens place):**\n \\[\n 69 \\times 4 = 2...
[{"budget_forced_chunks": ["To solve the equation \\( 46 + 69 - 14 \\times 89 \\), we will follow the standard algorithm for multiplication and addition:\n\n1. **Multiply 69 by 9:**\n \\[\n 69 \\times 9 = 621\n \\]\n\n2. **Multiply 69 by 4 (and shift one place to the left because of the 4 in the tens place):**\n ...
197
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
705
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [5, 47, 100, 7], create an equation that equals 705. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wor...
[["{'generation': \"To solve the equation \\\\(5 \\\\times 47 + 100 - 7\\\\), we will follow the steps shown in the example with slight modifications to align better with the given numbers and steps.\\n\\nStep 1: Multiply 5 by 47.\\n5 * 47 = 235\\n\\nStep 2: Add 100 to the product from Step 1.\\n235 + 100 = 335\\n\\nSt...
["{'generation': \"To solve the equation \\\\(5 \\\\times 47 + 100 - 7\\\\), we will follow the steps shown in the example with slight modifications to align better with the given numbers and steps.\\n\\nStep 1: Multiply 5 by 47.\\n5 * 47 = 235\\n\\nStep 2: Add 100 to the product from Step 1.\\n235 + 100 = 335\\n\\nSte...
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0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(5 \\times 47 + 100 - 7\\), we will follow the steps shown in the example with slight modifications to align better with the given numbers and steps.\n\nStep 1: Multiply 5 by 47.\n5 * 47 = 235\n\nStep 2: Add 100 to the product from Step 1.\n235 + 100 = 335\n\nStep 3: Subtract 7 from the produc...
[{"budget_forced_chunks": ["To solve the equation \\(5 \\times 47 + 100 - 7\\), we will follow the steps shown in the example with slight modifications to align better with the given numbers and steps.\n\nStep 1: Multiply 5 by 47.\n5 * 47 = 235\n\nStep 2: Add 100 to the product from Step 1.\n235 + 100 = 335\n\nStep 3: ...
198
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
131
{"gen_args_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 [31, 31, 93, 54], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your wo...
[["{'generation': \"To solve the equation \\\\(31 \\\\times 31 - 93 + 54\\\\), we will perform the operations from left to right, starting with the multiplication and addition, and then subtraction.\\n\\n1. First, calculate \\\\(31 \\\\times 31\\\\):\\n \\\\[\\n 31 \\\\times 31 = 961\\n \\\\]\\n\\n2. Next, add 93...
["{'generation': \"To solve the equation \\\\(31 \\\\times 31 - 93 + 54\\\\), we will perform the operations from left to right, starting with the multiplication and addition, and then subtraction.\\n\\n1. First, calculate \\\\(31 \\\\times 31\\\\):\\n \\\\[\\n 31 \\\\times 31 = 961\\n \\\\]\\n\\n2. Next, add 93 ...
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eeca91fd439b6d5e827e8fda7fee35046f2def93508637483f6be8a2df7a4392
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the equation \\(31 \\times 31 - 93 + 54\\), we will perform the operations from left to right, starting with the multiplication and addition, and then subtraction.\n\n1. First, calculate \\(31 \\times 31\\):\n \\[\n 31 \\times 31 = 961\n \\]\n\n2. Next, add 93 to the result from the previous step:\n ...
[{"budget_forced_chunks": ["To solve the equation \\(31 \\times 31 - 93 + 54\\), we will perform the operations from left to right, starting with the multiplication and addition, and then subtraction.\n\n1. First, calculate \\(31 \\times 31\\):\n \\[\n 31 \\times 31 = 961\n \\]\n\n2. Next, add 93 to the result fr...
199
{"prompt": [{"content": "Solve the problem step by step. Think step by step first.\nThe answer is a series of arithmetic operations (+, -, *, /) that results in the target number.\n\nWrite the final answer in <answer> </answer> tags.\nFor the final answer, make sure that each step in the final answer is written as Step...
255
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nUsing the numbers [5, 35, 4, 12], create an equation that equals 255. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Show your work...
[["{'generation': \"To solve the problem of multiplying all the numbers from 5 to 12, we'll follow the steps of multiplication effectively. Here\u2019s the breakdown:\\n\\n1. **Multiply the units digits**: 5 x 2 = 10\\n2. **Bring down the next digit**: 100\\n3. **Multiply by the tens digit**: 5 x 1 = 5\\n4. **Add it to...
["{'generation': \"To solve the problem of multiplying all the numbers from 5 to 12, we'll follow the steps of multiplication effectively. Here\u2019s the breakdown:\\n\\n1. **Multiply the units digits**: 5 x 2 = 10\\n2. **Bring down the next digit**: 100\\n3. **Multiply by the tens digit**: 5 x 1 = 5\\n4. **Add it to ...
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9556b82499cc0aaf86aee7f0d253e17c61b7ef73d48a295f37d98f08b04ffa7f
0
[false]
samples_countdown4arg_2025-07-07T03-59-46.597035.jsonl
["To solve the problem of multiplying all the numbers from 5 to 12, we'll follow the steps of multiplication effectively. Here\u2019s the breakdown:\n\n1. **Multiply the units digits**: 5 x 2 = 10\n2. **Bring down the next digit**: 100\n3. **Multiply by the tens digit**: 5 x 1 = 5\n4. **Add it to the previous result**:...
[{"budget_forced_chunks": ["To solve the problem of multiplying all the numbers from 5 to 12, we'll follow the steps of multiplication effectively. Here\u2019s the breakdown:\n\n1. **Multiply the units digits**: 5 x 2 = 10\n2. **Bring down the next digit**: 100\n3. **Multiply by the tens digit**: 5 x 1 = 5\n4. **Add it...