question stringclasses 10
values | solution stringdate 2050-01-01 00:00:00 6248-01-01 00:00:00 | model_responses sequencelengths 6 6 | is_model_response_correct__correctness_reasoning sequencelengths 6 6 | is_model_response_correct__final_answer sequencelengths 6 6 | is_model_response_correct__correctness_prompt sequencelengths 6 6 | is_model_response_correct sequencelengths 6 6 |
|---|---|---|---|---|---|---|
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 calculation of 46 multiplied by 48, resulting in 2208. It explicitly states the final answer as '2208' and confirms the addition steps leading to this result.",
"The model output concludes with 'So, the correct answer is indeed 2208,' which matches the solution p... | [
"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,
false,
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 the final answer as '6248' and provides a detailed step-by-step calculation that confirms this result. The calculation correctly applies distributive property and arithmetic operations, matching the solution provided. Therefore, the output's final answer matches the solution.",
"The model outpu... | [
"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'll follow the steps of the long multiplication method. \n\n1. **Break down the numbers**: \n - \\( 76 \\) can be broken down into \\( 70 \\) (tens place) and \\( 6 \\) (ones place).\n - \\( 32 \\) can be broken down into \\( 30 \\) (tens place... | [
"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 standard long multiplication process, and the final an... | [
"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. **Write down the numbers:**\n ```\n 42\n × 50\n ```\n\n2. **Multiply the units digit of the bottom number by each digit of the top number:**\n - Multiply \\(2\\) (the units digit of \\(42\\)) by \\(0\\):\n ... | [
"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 | [
"Step 1: Multiply the ones digit of the first number by the ones digit of the second number.\n 3 x 7 = 21\n\n Step 2: Now multiply the tens digit of the first number by the ones digit of the second number. \n 3 x 7 = 21\n Since these are both two-digit numbers, we need to add a zero to one of the products... | [
"The output states that the solution to 33 x 97 is 3141, but the provided solution is 3201. The output's reasoning is flawed because the multiplication steps are incorrect: multiplying 3 x 7 gives 21, which is correct, but the subsequent steps are inconsistent and do not correctly perform the multiplication. The fi... | [
"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 long multiplication equation 41 x 57, follow these steps:\n\n1. Multiply 41 by 7 (the ones digit of 57):\n 41 x 7 = 287\n Write 7 and carry the 2 to the next column.\n\n2. Multiply 41 by 5 (the ten's digit of 57), and then add the carry-over:\n 41 x 5 = 205\n Add the carry 2: 205 + 2 = 207\n ... | [
"The model output provides a detailed step-by-step calculation of 41 x 57, resulting in 2387. The solution given is 2337, which does not match the model's computed answer. Therefore, the final answer in the model output is 2387, which is incorrect with respect to the provided solution.",
"The model output conclud... | [
"2387",
"2387",
"2387",
"2387",
"2387",
"2387"
] | [
"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?
48 x 92
Think step by step. | 4416 | [
"To solve the multiplication problem \\(48 \\times 92\\) using the long multiplication method, follow these steps:\n\n1. Multiply 92 by 8:\n \\[\n 92 \\times 8 = 736\n \\]\n Write this down as the first part of the solution.\n\n2. Multiply 92 by 4 (and shift one position to the left, adding a 0 in the proce... | [
"The model output correctly performs the long multiplication steps: multiplying 92 by 8 to get 736, multiplying 92 by 4 to get 368, shifting it to 3680, and then adding 736 and 3680 to get 4416. The final answer provided is 4416, which matches the solution. Therefore, the output is correct.",
"The model output pr... | [
"4416",
"4416",
"4416",
"4416",
"1104",
"4416"
] | [
"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?
41 x 50
Think step by step. | 2050 | [
"Step 1: First, let's write out the multiplication problem clearly:\n 41\n × 50\n ----\n\nStep 2: We need to multiply 41 by 5. To do this step by step:\n a) Multiply the units column: 1 x 5 = 5\n b) Multiply the tens column, remembering to shift one place to the left: 4 x 5 = 20, add the carry from step... | [
"The model output concludes that the answer is 205, based on the calculation steps provided. The solution states the correct answer as 2050, which is the product of 41 and 50. Therefore, the model's final answer does not match the solution's correct answer.",
"The model output provides a detailed step-by-step cal... | [
"205",
"2050",
"2050",
"",
"205",
"2255"
] | [
"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,
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\\), we will use the standard algorithm for multiplication, where we first multiply the number by the ones digit of the other number, then by the tens digit, and finally add the results together. Let's break it down step by step:\n\n1. **Multiply 95 by 0:**... | [
"The output provides a detailed step-by-step explanation of multiplying 95 by 40, including breaking down 40 into 4 times 10, multiplying 95 by 4 to get 380, then multiplying by 10 to get 3800, and finally summing the partial products to arrive at 3800. The final answer quoted is '3800', which matches the solution ... | [
"3800",
"3800",
"3800",
"380",
"The output does not provide an answer to the multiplication problem 95 x 40.",
"3800"
] | [
"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,
false,
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 multiplication into simpler parts.\n\n- Multiply 24 by 9. (This is the outermost step.)\n- Multiply 24 by \\(0\\) (this is easier because it just involves carrying over zeros). \n\nStep 2: Perform the multiplication:\n\n1. Multip... | [
"The model output correctly performs the multiplication of 24 by 90, breaking it down into steps and arriving at the final answer of 2160, which matches the solution provided. The reasoning is consistent and accurate.",
"The model output discusses multiplying 24 by 0 and then adding 2160, which does not align wit... | [
"2160",
"2160",
"2160",
"2160",
"",
"2160"
] | [
"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
] |
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