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target
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{"question": "What is the solution to the long multiplication equation below?\n\n94 x 74\n\nThink step by step.", "solution": "6956", "model_responses": ["Let's break down the multiplication of 94 by 74 step by step.\n\n1. First, we'll break it down into smaller multiplications:\n - Multiply 94 by 70 (since 74 = 70 +...
6956
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n94 x 74\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false...
[["{'generation': \"To solve the multiplication problem \\\\( 94 \\\\times 74 \\\\), we have a step-by-step approach:\\n\\n1. **Break down the numbers**:\\n We can break it into multiplication:\\n \\\\[\\n 94 \\\\times 74 = (90 + 4) \\\\times (70 + 4)\\n \\\\]\\n\\n2. **Apply the distributive property**:\\n U...
["{'generation': \"To solve the multiplication problem \\\\( 94 \\\\times 74 \\\\), we have a step-by-step approach:\\n\\n1. **Break down the numbers**:\\n We can break it into multiplication:\\n \\\\[\\n 94 \\\\times 74 = (90 + 4) \\\\times (70 + 4)\\n \\\\]\\n\\n2. **Apply the distributive property**:\\n Us...
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["6956"]
samples_longmult_2dig_2025-06-08T06-16-22.968463.jsonl
["To solve the multiplication problem \\( 94 \\times 74 \\), we have a step-by-step approach:\n\n1. **Break down the numbers**:\n We can break it into multiplication:\n \\[\n 94 \\times 74 = (90 + 4) \\times (70 + 4)\n \\]\n\n2. **Apply the distributive property**:\n Use the distributive property to expand:\n...
[{"budget_forced_chunks": ["To solve the multiplication problem \\( 94 \\times 74 \\), we have a step-by-step approach:\n\n1. **Break down the numbers**:\n We can break it into multiplication:\n \\[\n 94 \\times 74 = (90 + 4) \\times (70 + 4)\n \\]\n\n2. **Apply the distributive property**:\n Use the distribu...
1
{"question": "What is the solution to the long multiplication equation below?\n\n31 x 41\n\nThink step by step.", "solution": "1271", "model_responses": ["To multiply 31 by 41, follow these steps:\n\n1) First, write the numbers line under each other:\n 31 \n \u00d7 41 \n\n2) Multiply each digit of the bottom number...
1271
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n31 x 41\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false...
[["{'generation': \"To solve the long multiplication of 31 and 41, we can break it down into simpler steps:\\n\\n1. **Multiply 31 by the units digit of 41 (which is 1)**:\\n - \\\\(31 \\\\times 1 = 31\\\\)\\n\\n2. **Multiply 31 by the tens digit of 41 (which is 4)**:\\n - \\\\(31 \\\\times 4 = 124\\\\)\\n - Now w...
["{'generation': \"To solve the long multiplication of 31 and 41, we can break it down into simpler steps:\\n\\n1. **Multiply 31 by the units digit of 41 (which is 1)**:\\n - \\\\(31 \\\\times 1 = 31\\\\)\\n\\n2. **Multiply 31 by the tens digit of 41 (which is 4)**:\\n - \\\\(31 \\\\times 4 = 124\\\\)\\n - Now we...
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["1271"]
samples_longmult_2dig_2025-06-08T06-16-22.968463.jsonl
["To solve the long multiplication of 31 and 41, we can break it down into simpler steps:\n\n1. **Multiply 31 by the units digit of 41 (which is 1)**:\n - \\(31 \\times 1 = 31\\)\n\n2. **Multiply 31 by the tens digit of 41 (which is 4)**:\n - \\(31 \\times 4 = 124\\)\n - Now we shift this result one place to the ...
[{"budget_forced_chunks": ["To solve the long multiplication of 31 and 41, we can break it down into simpler steps:\n\n1. **Multiply 31 by the units digit of 41 (which is 1)**:\n - \\(31 \\times 1 = 31\\)\n\n2. **Multiply 31 by the tens digit of 41 (which is 4)**:\n - \\(31 \\times 4 = 124\\)\n - Now we shift thi...
2
{"question": "What is the solution to the long multiplication equation below?\n\n41 x 31\n\nThink step by step.", "solution": "1271", "model_responses": ["To solve \\(41 \\times 31\\) using long multiplication, follow these steps:\n\n1. **Write down the numbers:**\n ```\n 41\n \u00d7 31\n _______\n ```\n\...
1271
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n41 x 31\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false...
[["{'generation': \"To solve the long multiplication equation \\\\(41 \\\\times 31\\\\), we can break it down into simpler steps.\\n\\n1. **Multiply 41 by 1 (the units place of 31):**\\n \\\\[\\n 41 \\\\times 1 = 41\\n \\\\]\\n\\n2. **Multiply 41 by 3 (the tens place of 31) Bryce:** \\n \\\\[\\n 41 \\\\times ...
["{'generation': \"To solve the long multiplication equation \\\\(41 \\\\times 31\\\\), we can break it down into simpler steps.\\n\\n1. **Multiply 41 by 1 (the units place of 31):**\\n \\\\[\\n 41 \\\\times 1 = 41\\n \\\\]\\n\\n2. **Multiply 41 by 3 (the tens place of 31) Bryce:** \\n \\\\[\\n 41 \\\\times 3...
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["1271"]
samples_longmult_2dig_2025-06-08T06-16-22.968463.jsonl
["To solve the long multiplication equation \\(41 \\times 31\\), we can break it down into simpler steps.\n\n1. **Multiply 41 by 1 (the units place of 31):**\n \\[\n 41 \\times 1 = 41\n \\]\n\n2. **Multiply 41 by 3 (the tens place of 31) Bryce:** \n \\[\n 41 \\times 3 = 123\n \\]\n Since we're multiplying...
[{"budget_forced_chunks": ["To solve the long multiplication equation \\(41 \\times 31\\), we can break it down into simpler steps.\n\n1. **Multiply 41 by 1 (the units place of 31):**\n \\[\n 41 \\times 1 = 41\n \\]\n\n2. **Multiply 41 by 3 (the tens place of 31) Bryce:** \n \\[\n 41 \\times 3 = 123\n \\]\n...
3
{"question": "What is the solution to the long multiplication equation below?\n\n48 x 64\n\nThink step by step.", "solution": "3072", "model_responses": ["To solve the long multiplication problem 48 x 64, we will proceed step by step:\n\n1. First, we'll multiply the units digit of 48 by 64:\n\n 48 x 4 = 192\n \n ...
3072
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n48 x 64\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false...
[["{'generation': 'To solve the long multiplication of 48 and 64, follow these steps:\\n\\n1. **Write the numbers vertically**:\\n ```\\n 48\\n x 64\\n ```\\n\\n2. **Multiply by the ones digit (4)**:\\n ```\\n 48\\n x 4\\n 192\\n ```\\n\\n3. **Multiply by the tens digit (60)**:\\n ```\\n ...
["{'generation': 'To solve the long multiplication of 48 and 64, follow these steps:\\n\\n1. **Write the numbers vertically**:\\n ```\\n 48\\n x 64\\n ```\\n\\n2. **Multiply by the ones digit (4)**:\\n ```\\n 48\\n x 4\\n 192\\n ```\\n\\n3. **Multiply by the tens digit (60)**:\\n ```\\n ...
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["3072"]
samples_longmult_2dig_2025-06-08T06-16-22.968463.jsonl
["To solve the long multiplication of 48 and 64, follow these steps:\n\n1. **Write the numbers vertically**:\n ```\n 48\n x 64\n ```\n\n2. **Multiply by the ones digit (4)**:\n ```\n 48\n x 4\n 192\n ```\n\n3. **Multiply by the tens digit (60)**:\n ```\n 48\n x 60\n 2880\n ```\n\n...
[{"budget_forced_chunks": ["To solve the long multiplication of 48 and 64, follow these steps:\n\n1. **Write the numbers vertically**:\n ```\n 48\n x 64\n ```\n\n2. **Multiply by the ones digit (4)**:\n ```\n 48\n x 4\n 192\n ```\n\n3. **Multiply by the tens digit (60)**:\n ```\n 48\n ...
4
{"question": "What is the solution to the long multiplication equation below?\n\n48 x 64\n\nThink step by step.", "solution": "3072", "model_responses": ["To solve the long multiplication problem 48 x 64, we will proceed step by step:\n\n1. First, we'll multiply the units digit of 48 by 64:\n\n 48 x 4 = 192\n \n ...
3072
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n48 x 64\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false...
[["{'generation': \"To solve the long multiplication of 48 and 64, follow these steps:\\n\\n1. **Write the numbers vertically**:\\n ```\\n 48\\n x 64\\n ```\\n\\n2. **Multiply by the ones digit (4)**:\\n ```\\n 48\\n x 4\\n 192\\n ```\\n\\n3. **Multiply by the tens digit (60)**:\\n ```\\n ...
["{'generation': \"To solve the long multiplication of 48 and 64, follow these steps:\\n\\n1. **Write the numbers vertically**:\\n ```\\n 48\\n x 64\\n ```\\n\\n2. **Multiply by the ones digit (4)**:\\n ```\\n 48\\n x 4\\n 192\\n ```\\n\\n3. **Multiply by the tens digit (60)**:\\n ```\\n ...
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["3072"]
samples_longmult_2dig_2025-06-08T06-16-22.968463.jsonl
["To solve the long multiplication of 48 and 64, follow these steps:\n\n1. **Write the numbers vertically**:\n ```\n 48\n x 64\n ```\n\n2. **Multiply by the ones digit (4)**:\n ```\n 48\n x 4\n 192\n ```\n\n3. **Multiply by the tens digit (60)**:\n ```\n 48\n x 60\n 2880\n ```\n\n...
[{"budget_forced_chunks": ["To solve the long multiplication of 48 and 64, follow these steps:\n\n1. **Write the numbers vertically**:\n ```\n 48\n x 64\n ```\n\n2. **Multiply by the ones digit (4)**:\n ```\n 48\n x 4\n 192\n ```\n\n3. **Multiply by the tens digit (60)**:\n ```\n 48\n ...
5
{"question": "What is the solution to the long multiplication equation below?\n\n69 x 66\n\nThink step by step.", "solution": "4554", "model_responses": ["To solve the multiplication problem \\(69 \\times 66\\), we can break it down into simpler steps, as described below:\n\nStep 1: Multiply 69 by 60.\n\\(69 \\times 60...
4554
{"gen_args_0": {"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n69 x 66\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": {"until": [], "do_sample": false...
[["{'generation': 'To solve the long multiplication problem \\\\(69 \\\\times 66\\\\), we can break the calculation into simpler steps.\\n\\nStep 1: Multiply 69 by 60.\\n\\\\[69 \\\\times 60 = 4140\\\\]\\n\\nStep 2: Multiply 69 by 6. This is easier because 6 is a simple number.\\n\\\\[69 \\\\times 6 = 414\\\\]\\n\\nSte...
["{'generation': 'To solve the long multiplication problem \\\\(69 \\\\times 66\\\\), we can break the calculation into simpler steps.\\n\\nStep 1: Multiply 69 by 60.\\n\\\\[69 \\\\times 60 = 4140\\\\]\\n\\nStep 2: Multiply 69 by 6. This is easier because 6 is a simple number.\\n\\\\[69 \\\\times 6 = 414\\\\]\\n\\nStep...
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["4554"]
samples_longmult_2dig_2025-06-08T06-16-22.968463.jsonl
["To solve the long multiplication problem \\(69 \\times 66\\), we can break the calculation into simpler steps.\n\nStep 1: Multiply 69 by 60.\n\\[69 \\times 60 = 4140\\]\n\nStep 2: Multiply 69 by 6. This is easier because 6 is a simple number.\n\\[69 \\times 6 = 414\\]\n\nStep 3: Add the results from Step 1 and Step 2...
[{"budget_forced_chunks": ["To solve the long multiplication problem \\(69 \\times 66\\), we can break the calculation into simpler steps.\n\nStep 1: Multiply 69 by 60.\n\\[69 \\times 60 = 4140\\]\n\nStep 2: Multiply 69 by 6. This is easier because 6 is a simple number.\n\\[69 \\times 6 = 414\\]\n\nStep 3: Add the resu...
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"{\"question\": \"What is the solution to the long multiplication equation below?\\n\\n58 x 13\\n\\n(...TRUNCATED)
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"{\"gen_args_0\": {\"arg_0\": \"<|im_start|>system\\nYou are Qwen, created by Alibaba Cloud. You are(...TRUNCATED)
"[[\"{'generation': \\\"To solve the long multiplication equation \\\\\\\\(58 \\\\\\\\times 13\\\\\\(...TRUNCATED)
"[\"{'generation': \\\"To solve the long multiplication equation \\\\\\\\(58 \\\\\\\\times 13\\\\\\\(...TRUNCATED)
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["758"]
samples_longmult_2dig_2025-06-08T06-16-22.968463.jsonl
"[\"To solve the long multiplication equation \\\\(58 \\\\times 13\\\\), you can follow these steps:(...TRUNCATED)
"[{\"budget_forced_chunks\": [\"To solve the long multiplication equation \\\\(58 \\\\times 13\\\\),(...TRUNCATED)
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"{\"question\": \"What is the solution to the long multiplication equation below?\\n\\n20 x 80\\n\\n(...TRUNCATED)
1600
"{\"gen_args_0\": {\"arg_0\": \"<|im_start|>system\\nYou are Qwen, created by Alibaba Cloud. You are(...TRUNCATED)
"[[\"{'generation': 'To solve the long multiplication equation 20 x 80, you can break it down into s(...TRUNCATED)
"[\"{'generation': 'To solve the long multiplication equation 20 x 80, you can break it down into sm(...TRUNCATED)
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samples_longmult_2dig_2025-06-08T06-16-22.968463.jsonl
"[\"To solve the long multiplication equation 20 x 80, you can break it down into smaller steps:\\n\(...TRUNCATED)
"[{\"budget_forced_chunks\": [\"To solve the long multiplication equation 20 x 80, you can break it (...TRUNCATED)
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"{\"question\": \"What is the solution to the long multiplication equation below?\\n\\n80 x 20\\n\\n(...TRUNCATED)
1600
"{\"gen_args_0\": {\"arg_0\": \"<|im_start|>system\\nYou are Qwen, created by Alibaba Cloud. You are(...TRUNCATED)
"[[\"{'generation': \\\"To solve the long multiplication equation \\\\\\\\( 80 \\\\\\\\times 20 \\\\(...TRUNCATED)
"[\"{'generation': \\\"To solve the long multiplication equation \\\\\\\\( 80 \\\\\\\\times 20 \\\\\(...TRUNCATED)
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["1600"]
samples_longmult_2dig_2025-06-08T06-16-22.968463.jsonl
"[\"To solve the long multiplication equation \\\\( 80 \\\\times 20 \\\\), let's break it down step (...TRUNCATED)
"[{\"budget_forced_chunks\": [\"To solve the long multiplication equation \\\\( 80 \\\\times 20 \\\\(...TRUNCATED)
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"{\"question\": \"What is the solution to the long multiplication equation below?\\n\\n66 x 97\\n\\n(...TRUNCATED)
6402
"{\"gen_args_0\": {\"arg_0\": \"<|im_start|>system\\nYou are Qwen, created by Alibaba Cloud. You are(...TRUNCATED)
"[[\"{'generation': 'To solve the long multiplication equation \\\\\\\\( 66 \\\\\\\\times 97 \\\\\\\(...TRUNCATED)
"[\"{'generation': 'To solve the long multiplication equation \\\\\\\\( 66 \\\\\\\\times 97 \\\\\\\\(...TRUNCATED)
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samples_longmult_2dig_2025-06-08T06-16-22.968463.jsonl
"[\"To solve the long multiplication equation \\\\( 66 \\\\times 97 \\\\), we will perform the multi(...TRUNCATED)
"[{\"budget_forced_chunks\": [\"To solve the long multiplication equation \\\\( 66 \\\\times 97 \\\\(...TRUNCATED)
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