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 \\) step by step, follow these steps:\n\n1. **Multiply 46 by 8 (the units digit of 48):**\n\n \\[\n 46 \\times 8 = 368\n \\]\n\n Write down 368.\n\n2. **Multiply 46 by 4 (the tens digit of 48), and place the result two places to the left:**\n\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 \\( 88 \\times 71 \\), you can use the standard long multiplication method. \n\nHere's a step-by-step breakdown:\n\n1. **Break down multiplication**:\n \\[\n 88 \\times 71 = 88 \\times (70 + 1)\n \\]\n\n2. **Distribute**:\n \\[\n 88 \\times 71 = (88 \\times 70) + (88 \\times 1)\n \\]\n\n3. **C... | [
"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 \\) step by step, follow these steps:\n\n1. **Multiply 76 by 2 (the units digit of 32):**\n \\[\n 76 \\times 2 = 152\n \\]\n Write down 152.\n\n2. **Multiply 76 by 30 (the tens digit of 32, in the tens place):**\n \\[\n 76 \\times 30 = 2280\n ... | [
"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 long multiplication problem \\(42 \\times 50\\), we can follow these steps:\n\n1. **W(...TRUNCATED) | ["The model output provides a detailed step-by-step explanation of multiplying 42 by 50, including p(...TRUNCATED) | [
"2100",
"2100",
"2100",
"2100",
"2100",
"2100"
] | ["You are given a question, a solution, and a model output. For the current output, reason step by s(...TRUNCATED) | [
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 problem \\( 33 \\times 97 \\), we use the standard algorithm for multi(...TRUNCATED) | ["The model output concludes that the solution to 33 x 97 is 3141, which it states explicitly at the(...TRUNCATED) | [
"3141",
"3141",
"3141",
"3141",
"3141",
"441"
] | ["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?
41 x 57
Think step by step. | 2337 | ["To solve the multiplication problem \\( 41 \\times 57 \\), we'll follow these steps:\n\n1. **Write(...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 problem \\(48 \\times 92\\) using the long multiplication method, foll(...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 long multiplication problem \\(41 \\times 50\\), follow these steps:\n\n1. **Write do(...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 problem \\(95 \\times 40\\), let's break it down step by step.\n\(...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 \\( 24 \\times 90 \\) through long multiplication:\n\nStep 1: Break down the multiplicati(...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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