question string | solution string | model_responses sequence | is_model_response_correct__correctness_reasoning sequence | is_model_response_correct__final_answer sequence | is_model_response_correct__correctness_prompt sequence | is_model_response_correct sequence |
|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
46 x 48
Think step by step. | 2208 | [
"To solve the long multiplication equation \\( 46 \\times 48 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 46 by 8 (the ones place of 48):\n\\[\n46 \\times 8 = 368\n\\]\n\n2. Multiply 46 by 4 (the tens place of 48, which is actually 40 because of place value rules):\n... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, ending with the final answer '2208'. The solution matches the provided solution '2208'. The reasoning in the output correctly follows the steps of long multiplication and arrives at the same final answer, confirming correctne... | [
"2208",
"2208",
"2208",
"22080",
"2316",
"2208"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
88 x 71
Think step by step. | 6248 | [
"To solve the long multiplication equation \\( 88 \\times 71 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 88 by 1 (the ones place of 71):\n\\[\n88 \\times 1 = 88\n\\]\n\n2. Multiply 88 by 7 (the tens place of 71, which is actually 70 because of place value rules):\n\... | [
"The output states 'Thus, the solution to 88 x 71 is **6248**.' The solution provided in the prompt is also 6248, which matches the output. The reasoning in the output correctly computes the product step by step, confirming the answer.",
"The model output quotes the calculation '88 \times 71 = 6248' and states th... | [
"6248",
"6248",
"6248",
"6248",
"6248",
"6248"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
76 x 32
Think step by step. | 2432 | [
"To solve the long multiplication equation \\( 76 \\times 32 \\), we can use the standard multiplication algorithm.\n\n### Step-by-Step Solution:\n\n1. Multiply 76 by 2 (the ones place of 32):\n\\[\n76 \\times 2 = 152\n\\]\n\n2. Multiply 76 by 3 (the tens place of 32, which is actually 30 because of place value rul... | [
"The model output provides a detailed step-by-step explanation of multiplying 76 by 32, breaking down the numbers, multiplying each part, and summing the results. The final answer given is 2432, which matches the solution provided. The reasoning aligns with the solution, and the final answer is explicitly stated as... | [
"2432",
"4992",
"2432",
"2432",
"2432",
"2432"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
true,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
42 x 50
Think step by step. | 2100 | [
"To solve the multiplication equation \\(42 \\times 50\\):\n\n1. Multiply 42 by 50: \n\\[\n42 \\times 50 = 2100\n\\]\n\nSo the solution is:\n\\boxed{2100}",
"To solve the multiplication equation \\(42 \\times 50\\):\n\n1. Multiply 42 by 50: \n\\[\n42 \\times 50 = 2100\n\\]\n\nSo the solution is:\n\\boxed{2100}",
... | [
"The model output provides a detailed step-by-step explanation of multiplying 42 by 50, including partial calculations and the final answer. It concludes with 'The final result is 2100. Therefore, the solution to 42 × 50 is 2100.' The solution given is 2100, which matches the final answer in the output.",
"The mo... | [
"2100",
"2100",
"2100",
"2100",
"2100",
"2100"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
33 x 97
Think step by step. | 3201 | [
"To solve the multiplication equation \\( 33 \\times 97 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 33 by 7 (the ones place of 97):\n\\[\n33 \\times 7 = 231\n\\]\n\n2. Multiply 33 by 9 (the tens place of 97, which is actually 90 because of place value rules):\n\\[\n... | [
"The model output concludes that the solution to 33 x 97 is 3141, which it states explicitly at the end. The provided solution states the answer as 3201. Since the model's final answer does not match the solution, the correctness depends on whether 3141 is correct for 33 x 97. Calculating 33 x 97: 33 x 97 = (30 + 3... | [
"3141",
"3141",
"3141",
"3141",
"3141",
"441"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
41 x 57
Think step by step. | 2337 | ["To solve the multiplication equation \\( 41 \\times 57 \\), we can use the standard algorithm for (...TRUNCATED) | ["The solution provided in the answer is 2387, which is obtained by the detailed step-by-step multip(...TRUNCATED) | [
"2387",
"2387",
"2387",
"2387",
"2387",
"2387"
] | ["You are given a question, a solution, and a model output. For the current output, reason step by s(...TRUNCATED) | [
false,
false,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
48 x 92
Think step by step. | 4416 | ["To solve the multiplication equation \\(48 \\times 92\\) using the traditional multiplication meth(...TRUNCATED) | ["The model output correctly performs the long multiplication steps: multiplying 92 by 8 to get 736,(...TRUNCATED) | [
"4416",
"4416",
"8832",
"4416",
"4416",
"4416"
] | ["You are given a question, a solution, and a model output. For the current output, reason step by s(...TRUNCATED) | [
true,
true,
false,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
41 x 50
Think step by step. | 2050 | ["To solve the multiplication equation \\( 41 \\times 50 \\):\n\n1. Multiply 41 by 50: \n\\[\n41 \\t(...TRUNCATED) | ["The model output concludes that the product of 41 and 50 is 205, based on the calculation steps pr(...TRUNCATED) | [
"205",
"2050",
"2050",
"",
"205",
"2255"
] | ["You are given a question, a solution, and a model output. For the current output, reason step by s(...TRUNCATED) | [
false,
true,
true,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
95 x 40
Think step by step. | 3800 | ["To solve the long multiplication equation \\( 95 \\times 40 \\):\n\n1. Multiply 95 by 40: \n\\[\n9(...TRUNCATED) | ["The output provides a detailed step-by-step explanation of multiplying 95 by 40, including breakin(...TRUNCATED) | ["3800","3800","3800","380","The output does not contain a numerical answer to the multiplication pr(...TRUNCATED) | ["You are given a question, a solution, and a model output. For the current output, reason step by s(...TRUNCATED) | [
true,
true,
true,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
24 x 90
Think step by step. | 2160 | ["To solve the multiplication equation \\( 24 \\times 90 \\), follow these steps:\n\n1. **Break down(...TRUNCATED) | ["The model output correctly performs the multiplication of 24 by 90, breaking it down into steps an(...TRUNCATED) | [
"2160",
"2160",
"2160",
"2160",
"",
"2160"
] | ["You are given a question, a solution, and a model output. For the current output, reason step by s(...TRUNCATED) | [
true,
true,
true,
true,
false,
true
] |
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