question string | solution string | model_responses list | is_model_response_correct__correctness_reasoning list | is_model_response_correct__final_answer list | is_model_response_correct__correctness_prompt list | is_model_response_correct list |
|---|---|---|---|---|---|---|
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 multiplication.\n\nHere are the steps:\n\n1. Multiply 41 by 7 (the ones place of 57):\n\\[\n41 \\times 7 = 287\n\\]\n\n2. Multiply 41 by 5 (the tens place of 57, which is actually 50 because of place value rules):\n\\... | [
"The solution provided in the answer is 2387, which is obtained by the detailed step-by-step multiplication process. The original solution states the answer as 2337, which does not match the computed result. Therefore, the final answer in the output (2387) is correct according to the step-by-step calculation, but i... | [
"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 equation \\(48 \\times 92\\) using the traditional multiplication method, we can break it down into simpler steps.\n\nFirst, we can change the multiplication to a division after multiplying by 90 (since 92 = 90 + 2):\n\n\\[\n48 \\times 92 = 48 \\times 90 + 48 \\times 2\n\\]\n\nNow, let'... | [
"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.",
"The model output provides a step-by-step multiplicati... | [
"4416",
"4416",
"8832",
"4416",
"4416",
"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,
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 \\times 50 = 2050\n\\]\n\nSo the solution is:\n\\boxed{2050}",
"To solve the multiplication equation \\( 41 \\times 50 \\):\n\n1. Multiply 41 by 50: \n\\[\n41 \\times 50 = 2050\n\\]\n\nSo the solution is:\n\\boxed{2050... | [
"The model output concludes that the product of 41 and 50 is 205, based on the calculation steps provided. The solution states the answer as 2050, which is different from the model's final answer. Therefore, the model's final answer does not match the solution.",
"The model output states 'So the actual solution i... | [
"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 \\):\n\n1. Multiply 95 by 40: \n\\[\n95 \\times 40 = 3800\n\\]\n\nSo the solution is:\n\\boxed{3800}",
"To solve the long multiplication equation \\(95 \\times 40\\):\n\n1. Multiply 95 by 40: \n\\[\n95 \\times 40 = 3800\n\\]\n\nSo the solution is:\n\\bo... | [
"The output provides a detailed step-by-step explanation of multiplying 95 by 40, including breaking down 40 into 4 times 10, calculating 95 times 4 as 380, then multiplying by 10 to get 3800, and finally confirming the answer as 3800. The final answer quoted in the output is '3800', which matches the solution prov... | [
"3800",
"3800",
"3800",
"380",
"The output does not contain a numerical 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,
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 the multiplication:**\n \\[\n 24 \\times 90 = 24 \\times (9 \\times 10)\n \\]\n\n2. **Use the distributive property of multiplication:**\n \\[\n 24 \\times (9 \\times 10) = (24 \\times 9) \\times 10\n \\]... | [
"The model output correctly performs the multiplication of 24 by 90, breaking it down into steps and arriving at the product 2160, which matches the solution provided. The reasoning is consistent and the final answer is explicitly stated as 2160.",
"The model output does not explicitly state the final answer, but... | [
"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
] |
What is the solution to the long multiplication equation below?
61 x 55
Think step by step. | 3355 | [
"To solve the multiplication equation \\( 61 \\times 55 \\), you can use the standard multiplication method.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n& 61 & \\\\\n\\times & 55 & \\\\\n\\hline\n& 305 & 505 \\\\\n\\hline\n\\end{array}\n\\]\n\nExplanation:\n1. Multiply 61 by 5 (the ones place of 55): \n\\[\n61 \\times 5 = 3... | [
"The model output provides a detailed step-by-step explanation of multiplying 61 by 55, breaking it down into parts and calculating the intermediate steps. The final answer given in the explanation is 3355, which matches the solution provided. The parsed final answer is '3355', and since it matches the solution, th... | [
"3355",
"3355",
"",
"3355",
"3355",
"3355"
] | [
"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,
false,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
50 x 26
Think step by step. | 1300 | [
"To solve the multiplication equation \\( 50 \\times 26 \\), you can use the standard multiplication property of numbers.\n\nStep 1: Break down the multiplication into simpler parts.\n\\[\n50 \\times 26 = 50 \\times (20 + 6)\n\\]\n\nStep 2: Apply the distributive property.\n\\[\n50 \\times 20 + 50 \\times 6\n\\]\n\... | [
"The solution states that the answer is 1300, but the model output calculates the product as 400. Since the model output's calculation is correct, and the solution's answer (1300) does not match the actual product, the output is incorrect.",
"The model output discusses a misunderstanding in the problem statement ... | [
"400",
"400",
"No direct answer provided.",
"400",
"400",
"400"
] | [
"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?
28 x 27
Think step by step. | 756 | [
"To solve the long multiplication equation \\(28 \\times 27\\), we can break it down into smaller steps.\n\n1. Multiply 28 by 7 (the ones place of 27):\n\\[\n28 \\times 7 = 196\n\\]\n\n2. Multiply 28 by 2 (the tens place of 27, which is actually 20 because of place value rules):\n\\[\n28 \\times 20 = 560\n\\]\n\n3.... | [
"The solution provided in the solution section is 756, but the model output calculates the product as 4628. Since the model output's final answer is 4628, which does not match the solution's answer of 756, the output is incorrect.",
"The output states that the solution to 28 x 27 is 4628, which is different from ... | [
"4628",
"4628",
"4628",
"(No explicit final answer provided)",
"756",
"4628"
] | [
"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,
true,
false
] |
What is the solution to the long multiplication equation below?
11 x 81
Think step by step. | 891 | [
"To solve the long multiplication equation \\( 11 \\times 81 \\), we can break it down into simpler steps.\n\nFirst, let's handle the multiplication step by step:\n\n1. Multiply 11 by 1 (the one's place of 81):\n\\[\n11 \\times 1 = 11\n\\]\n\n2. Multiply 11 by 8 (the tens place of 81, which is actually 80 because o... | [
"The model output states that the final answer is 99, which is obtained by adding 11 and 88, the partial products of multiplying 11 by 1 and 8 respectively. However, the solution provided is 891, which is the correct product of 11 and 81. Therefore, the model's final answer does not match the solution.",
"The sol... | [
"99",
"99",
"99",
"99",
"",
"891"
] | [
"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,
true
] |
What is the solution to the long multiplication equation below?
47 x 55
Think step by step. | 2585 | [
"To solve the multiplication equation \\( 47 \\times 55 \\), we can use the standard multiplication method.\n\n### Step-by-Step Solution:\n\n1. Multiply 47 by 5 (the ones place of 55):\n\\[\n47 \\times 5 = 235\n\\]\n\n2. Multiply 47 by 5 (the tens place of 55, which is actually 50 because of place value rules):\n\\... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 47 x 55, ending with the final answer 2585. The solution matches the provided answer in the solution section, which is 2585. The reasoning in the output correctly applies the distributive property and performs the calculations... | [
"2585",
"2585",
"2585",
"2585",
"2585",
"2585"
] | [
"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?
59 x 40
Think step by step. | 2360 | [
"To solve the multiplication equation \\( 59 \\times 40 \\):\n\n1. Multiply 59 by 40: \n\\[\n59 \\times 40 = 2360\n\\]\n\nSo the solution is:\n\\boxed{2360}",
"To solve the multiplication equation \\( 59 \\times 40 \\):\n\n1. Multiply 59 by 40: \n\\[\n59 \\times 40 = 2360\n\\]\n\nSo the solution is:\n\\boxed{2360... | [
"The solution states that the product of 59 and 40 is 2360, which is correct. The model output, however, provides a detailed step-by-step process that ultimately concludes the product is 23836, which is incorrect. The key part of the output is the final answer: '23836'. Since the solution's answer is 2360, and the ... | [
"23836",
"23,836",
"2384",
"2340",
"No answer provided",
"236"
] | [
"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?
12 x 47
Think step by step. | 564 | [
"To solve the long multiplication equation \\(12 \\times 47\\), we can use the standard multiplication algorithm.\n\n### Step-by-Step Solution:\n\n1. Multiply 12 by 7 (the ones place of 47):\n\\[\n12 \\times 7 = 84\n\\]\nWrite 4 in the ones place and carry over 8.\n\n2. Multiply 12 by 4 (the tens place of 47, which... | [
"The output states that the product of 12 and 47 is 132, which is incorrect according to the provided solution of 564. The reasoning in the output shows a miscalculation, as multiplying 12 by 7 gives 84, and 12 by 4 gives 48, which when added results in 132, not 564. Therefore, the final answer in the output does n... | [
"132",
"(No final answer provided)",
"132",
"564",
"564",
"564"
] | [
"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,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
43 x 66
Think step by step. | 2838 | [
"To solve the long multiplication equation \\(43 \\times 66\\), we can use the standard multiplication method.\n\n\\[\n\\begin{array}{r}\n 43 \\\\\n\\times 66 \\\\\n\\hline\n 258 \\\\\n+2580 \\\\\n\\hline\n 2858 \\\\\n\\end{array}\n\\]\n\nSo the solution is:\n\n\\boxed{2858}",
"To solve the long multiplicat... | [
"The model output correctly performs the long multiplication step by step, multiplying 43 by 6 to get 258, then multiplying 43 by 60 to get 2580, and summing these to get 2838. The final answer quoted is '2838', which matches the solution provided. Therefore, the output is correct.",
"The model output does not pr... | [
"2838",
"No answer provided",
"2838",
"2838",
"2838",
"2838"
] | [
"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,
false,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
25 x 31
Think step by step. | 775 | [
"To solve the long multiplication equation \\(25 \\times 31\\), we can use the standard multiplication method.\n\n### Step-by-Step Solution:\n\n1. Multiply 25 by 30 (this is easy because it is a simple multiplication of 25 by 10):\n\\[\n25 \\times 30 = 750\n\\]\n\n2. Multiply 25 by 1 (this is also an straightforwar... | [
"The model output provides a detailed step-by-step calculation, ultimately concluding that 25 x 31 = 525. The solution given is 775, which does not match the model's final answer. Therefore, the model's final answer is incorrect with respect to the provided solution.",
"The model output attempts to perform long m... | [
"525",
"525",
"8550",
"525",
"525",
"1125"
] | [
"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?
71 x 36
Think step by step. | 2556 | [
"To solve the long multiplication equation \\(71 \\times 36\\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 71 \\\\\n\\times & 36 \\\\\n\\hline\n & 426 \\\\\n+ & 2130 \\\\\n\\hline\n & 2556\n\\end{array}\n\\]\n\nSo the solution is:\n\n\\boxed{2556}",
"To solve the long ... | [
"The model output performs the multiplication step by step, correctly multiplying 71 by 6 to get 426, then multiplying 71 by 3 to get 213, shifting it one place to the left to get 2136, and then adding 426 and 2136 to get 2562. The final answer provided is 2562, which matches the correct calculation.",
"The outpu... | [
"2562",
"2562",
"2562",
"4473",
"2562",
"2562"
] | [
"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,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
77 x 59
Think step by step. | 4543 | [
"To solve the long multiplication equation \\( 77 \\times 59 \\), we can use the standard multiplication algorithm.\n\n### Step-by-Step Solution:\n\n1. Multiply 77 by 9 (the ones place of 59): \n\\[\n77 \\times 9 = 693\n\\]\n\n2. Multiply 77 by 5 (the tens place of 59, which is actually 50 because of place value ru... | [
"The model output provides a detailed step-by-step calculation of 77 multiplied by 59, ultimately concluding with the answer 4513. The solution given is 4543, which does not match the model's final answer. Therefore, the model's final answer is incorrect with respect to the provided solution.",
"The model output ... | [
"4513",
"",
"4513",
"4543",
"45135",
"4513"
] | [
"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,
true,
false,
false
] |
What is the solution to the long multiplication equation below?
73 x 37
Think step by step. | 2701 | [
"To solve the long multiplication equation \\( 73 \\times 37 \\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 73 \\\\\n\\times & 37 \\\\\n\\hline\n & 5111 \\\\\n+ & 2193 \\\\\n\\hline\n\\end{array}\n\\]\n\nExplanation:\n\n1. Multiply 73 by 7 (the ones place of 37):\n\\[\n... | [
"The output concludes that 73 x 37 equals 730, based on the step-by-step multiplication process. However, the provided solution states the answer is 2701, which does not match the output's final answer. Since the output's final answer is 730, and the solution states 2701, they are inconsistent. Therefore, the outpu... | [
"730",
"730",
"2621",
"2,651",
"730",
"5329"
] | [
"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?
81 x 16
Think step by step. | 1296 | [
"To solve the long multiplication equation \\( 81 \\times 16 \\), we can break it down into smaller steps using the standard multiplication algorithm.\n\nLet's multiply step by step:\n\n1. Multiply 81 by 6 (the ones place of 16):\n\\[\n81 \\times 6 = 486\n\\]\n\n2. Multiply 81 by 1 (the tens place of 16, which is a... | [
"The output explicitly states that the sum of 81 times 10 (810) and 81 times 6 (486) is 1296, and concludes that the final answer is 1296. This matches the solution provided, which is 1296. The reasoning is consistent and correctly follows the steps of long multiplication.",
"The output states 'Thus, the result o... | [
"1296",
"1296",
"302 x 1218 =",
"1296",
"1296",
"1296"
] | [
"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,
false,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
76 x 94
Think step by step. | 7144 | [
"To solve the multiplication equation \\( 76 \\times 94 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 76 by 4 (the ones place of 94):\n\\[\n76 \\times 4 = 304\n\\]\n\n2. Multiply 76 by 9 (the tens place of 94, which is actually 90 because of place value rules):\n\\[\n... | [
"The model output provides a detailed step-by-step explanation of the multiplication process, ultimately concluding that the product is 682. The solution given is 7144, which does not match the model's final answer. Since the question asks for the solution to 76 x 94, the correct answer should be 7144, as per the s... | [
"682",
"7064",
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"",
"No answer provided",
"7064"
] | [
"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?
32 x 68
Think step by step. | 2176 | [
"To solve the long multiplication equation \\(32 \\times 68\\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 32 \\\\\n& \\times 68 \\\\\n\\hline\n & 256 \\quad (32 \\times 8) \\\\\n+ & 1920 \\quad (32 \\times 60) \\\\\n\\hline\n & 2176 \\\\\n\\end{array}\n\\]\n\nSo the sol... | [
"The model output correctly performs the long multiplication of 32 and 68 step by step, resulting in 2176, which matches the solution provided. The final answer extracted from the output is '2176', which is correct according to the solution.",
"The model output provides a detailed long multiplication process, end... | [
"2176",
"2176",
"2176",
"2176",
"2176",
"2176"
] | [
"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?
17 x 26
Think step by step. | 442 | [
"To solve the multiplication equation \\( 17 \\times 26 \\):\n\n1. Multiply 17 by 20 (this is easy because it is a simple multiplication of 10s): \n\\[\n17 \\times 20 = 340\n\\]\n\n2. Multiply 17 by 6 (this is also an easy multiplication of 10s): \n\\[\n17 \\times 6 = 102\n\\]\n\n3. Add the two results together:\n\... | [
"The model's output concludes that the product of 17 and 26 is 442. The solution provided states the answer as 442, which matches the model's final answer. The step-by-step reasoning in the model's output, despite some inaccuracies, leads to the same final answer as the solution.",
"The model output concludes tha... | [
"442",
"442",
"442",
"442",
"445",
"442"
] | [
"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?
80 x 88
Think step by step. | 7040 | [
"To solve the long multiplication equation \\( 80 \\times 88 \\), we can break it down into simpler steps.\n\n1. **Multiply 80 by 80:**\n\\[\n80 \\times 80 = 6400\n\\]\n\n2. **Multiply 80 by 8:**\n\\[\n80 \\times 8 = 640\n\\]\n\n3. **Add the two results together:**\n\\[\n6400 + 640 = 7040\n\\]\n\nSo the final answe... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, ending with the answer 7040. The solution matches the final answer given in the solution section, which is 7040. The reasoning in the output correctly follows the multiplication process and arrives at the same result as the p... | [
"7040",
"7040",
"7040",
"(No relevant answer provided)",
"7040",
""
] | [
"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,
true,
false
] |
What is the solution to the long multiplication equation below?
81 x 83
Think step by step. | 6723 | [
"To solve the multiplication equation \\( 81 \\times 83 \\), we can use the standard multiplication method.\n\nLet's break it down step by step:\n\n1. Multiply 81 by 3 (the ones place of 83):\n\\[\n81 \\times 3 = 243\n\\]\n\n2. Multiply 81 by 8 (the tens place of 83, which is actually 80 because of place value rule... | [
"The model output provides a step-by-step calculation resulting in 747, which is different from the solution given as 6723. Since the solution to 81 x 83 should be a two-digit number, the model's answer of 747 is incorrect. The model's reasoning also contains an error: it adds 83 and 664 directly, which is not the ... | [
"747",
"6723",
"6723",
"913",
"7287",
"The model does not provide a clear final answer to the original question 81 x 83, but instead discusses unrelated calculations."
] | [
"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?
72 x 12
Think step by step. | 864 | [
"To solve the multiplication equation \\( 72 \\times 12 \\), we can use the standard multiplication method.\n\nStep 1: Multiply 72 by 2 (the ones place of 12):\n\\[\n72 \\times 2 = 144\n\\]\n\nStep 2: Multiply 72 by 1 (the tens place of 12, which is actually 10 because of place value rules):\n\\[\n72 \\times 10 = 7... | [
"The solution provided states that the answer to 72 x 12 is 864, which matches the given solution. The model output, however, concludes with an answer of 2260, which does not match the solution. Therefore, the final answer in the model output is 2260, which is incorrect according to the solution.",
"The model out... | [
"2260",
"864",
"2260",
"2260",
"2260",
""
] | [
"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,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
35 x 94
Think step by step. | 3290 | [
"To solve the long multiplication equation \\( 35 \\times 94 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 35 by 4 (the ones place of 94):\n\\[\n35 \\times 4 = 140\n\\]\n\n2. Multiply 35 by 9 (the tens place of 94, which is actually 90 because of place value rules):\n... | [
"The model output provides a detailed step-by-step explanation of multiplying 35 by 94, breaking it down into 35 times 90 and 35 times 4, calculating each, and summing to get 3290. The final answer quoted is '3290', which matches the solution provided. Therefore, the output's final answer is correct and aligns with... | [
"3290",
"3290",
"3290",
"3290",
"3290",
"3290"
] | [
"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?
47 x 70
Think step by step. | 3290 | [
"To solve the multiplication equation \\( 47 \\times 70 \\):\n\n1. Multiply 47 by 70: \n\\[\n47 \\times 70 = 3290\n\\]\n\nSo the solution is:\n\\boxed{3290}",
"To solve the multiplication equation \\( 47 \\times 70 \\):\n\n1. Multiply 47 by 70: \n\\[\n47 \\times 70 = 3290\n\\]\n\nSo the solution is:\n\\boxed{3290... | [
"The output provides a step-by-step explanation of multiplying 47 by 70, correctly breaking down the multiplication and arriving at 3290. The final answer quoted in the output is '3290', which matches the solution provided. Therefore, the output's final answer is correct and consistent with the solution.",
"The m... | [
"3290",
"3290",
"3290",
"3290",
"3290",
"3290"
] | [
"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?
52 x 32
Think step by step. | 1664 | [
"To solve the multiplication equation \\(52 \\times 32\\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 52 by 2 (the ones place of 32):\n\\[\n52 \\times 2 = 104\n\\]\n\n2. Multiply 52 by 3 (the tens place of 32, which is actually 30 because of place value rules):\n\\[\n52... | [
"The output provides a detailed step-by-step calculation of 52 multiplied by 32, breaking it down into 52 times 2 and 52 times 30, then summing the results to get 1664. It also verifies the calculation by direct multiplication, confirming the final answer. The final answer quoted is '1664', which matches the soluti... | [
"1664",
"1664",
"The model output does not contain a numerical answer.",
"1664",
"1664",
"1664"
] | [
"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,
false,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
16 x 61
Think step by step. | 976 | [
"To solve the long multiplication equation \\(16 \\times 61\\), follow these steps:\n\n1. **Multiply 16 by 1 (the ones place of 61):**\n\\[\n16 \\times 1 = 16\n\\]\n\n2. **Multiply 16 by 6 (the tens place of 61, which is actually 60 because of place value rules):**\n\\[\n16 \\times 60 = 960\n\\]\n\n3. **Add the two... | [
"The model's output concludes that the product of 16 and 61 is 106, based on the addition of intermediate results. However, the actual multiplication of 16 by 61 yields 976, as given in the solution. The model's calculation is incorrect because 16 multiplied by 61 does not equal 106.",
"The model output provides ... | [
"106",
"976",
"61",
"106",
"106",
"106"
] | [
"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,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
60 x 18
Think step by step. | 1080 | [
"To solve the multiplication equation \\(60 \\times 18\\) step by step, follow these steps:\n\n1. Break down the multiplication into smaller, easier parts:\n \\[\n 60 \\times 18 = 60 \\times (10 + 8)\n \\]\n \n2. Distribute the 60 across the terms inside the parentheses:\n \\[\n 60 \\times 18 = 60 \\tim... | [
"The model output provides a step-by-step solution to the multiplication problem 60 x 18, correctly breaking it down into smaller parts and summing the partial products. The final answer given is '1080', which matches the solution provided. The reasoning is correct and aligns with the solution.",
"The model outpu... | [
"1080",
"1080",
"108",
"1080",
"1080",
"1080"
] | [
"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,
false,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
68 x 39
Think step by step. | 2652 | [
"To solve the long multiplication equation \\(68 \\times 39\\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 68 & \\times & 39 \\\\\n\\hline\n & 612 & & & \\quad \\text{(This is } 68 \\times 9\\text{)}\n\\[\n\\begin{array}{c@{}c@{}c}\n & 68 & \\times & 39 \\\\\n\\hline\n... | [
"The model output correctly performs the multiplication step by step: multiplying 68 by 9 to get 612, then multiplying 68 by 30 to get 2040, and finally adding these results to obtain 2652. The final answer provided is 2652, which matches the solution. The reasoning is consistent and accurate.",
"The model output... | [
"2652",
"2652",
"2652",
"",
"3",
"2652"
] | [
"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?
55 x 26
Think step by step. | 1430 | [
"To solve the long multiplication equation \\( 55 \\times 26 \\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 55 & \\\\\n\\times & 26 & \\\\\n\\hline\n & 330 & \\quad & 330 \\\\\n+1100 & & & \\\\\n\\hline\n & 1430 & \\\\\n\\end{array}\n\\]\n\nHere's a step-by-step breakdo... | [
"The output provides a detailed step-by-step process for multiplying 55 by 26, resulting in 440. The solution states that the answer is 1430, which does not match the output's final answer. Therefore, the output's final answer (440) does not match the solution's answer (1430).",
"The solution states the answer is... | [
"440",
"440",
"1430",
"440",
"445",
"1430"
] | [
"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,
true,
false,
false,
true
] |
What is the solution to the long multiplication equation below?
44 x 12
Think step by step. | 528 | [
"To solve the long multiplication equation \\( 44 \\times 12 \\), we can use the standard multiplication method.\n\nLet's break it down step by step:\n\n1. Multiply 44 by 2 (the ones place of 12):\n\\[\n44 \\times 2 = 88\n\\]\n\n2. Multiply 44 by 1 (the tens place of 12, which is actually 10 because of place value ... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 44 x 12, culminating in the final answer of 528. The solution matches the answer provided in the solution section, which is 528. The reasoning in the output correctly follows the multiplication process and arrives at the same ... | [
"528",
"528",
"528",
"528",
"528",
"528"
] | [
"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?
74 x 57
Think step by step. | 4218 | [
"To solve the long multiplication equation \\(74 \\times 57\\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{r}\n 74 \\\\\n \\times 57 \\\\\n\\hline\n 518 \\\\\n 370 \\\\\n\\hline\n 4078 \\\\\n\\end{array}\n\\]\n\nSo the solution is:\n\n\\boxed{4078}",
"To solve the l... | [
"The model output attempts to perform long multiplication of 74 by 57, but the calculations and the final sum are inconsistent with the actual multiplication. The output states that 74 x 57 equals 4118, but the solution provided is 4218. The model's intermediate calculations (3990 and 228) are added to get 4118, wh... | [
"4118",
"3238",
"1210",
"",
"4118",
"4114"
] | [
"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?
20 x 68
Think step by step. | 1360 | [
"To solve the long multiplication equation \\(20 \\times 68\\), we can follow these steps:\n\n1. **Break down the multiplication:**\n \\[\n 20 \\times 68 = 20 \\times (60 + 8)\n \\]\n\n2. **Use the distributive property of multiplication:**\n \\[\n 20 \\times (60 + 8) = 20 \\times 60 + 20 \\times 8\n \\... | [
"The model output provides a detailed step-by-step explanation of multiplying 20 by 68, ultimately arriving at the answer 1360. The solution given is 1360, which matches the final answer in the model output. The reasoning aligns with the solution, confirming correctness.",
"The model output confirms the multiplic... | [
"1360",
"1360",
"200",
"1360",
"1360",
"1360"
] | [
"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,
false,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
61 x 96
Think step by step. | 5856 | [
"To solve the multiplication equation \\( 61 \\times 96 \\):\n\n1. Multiply 61 by 90 (part of 96): \n\\[\n61 \\times 90 = 5490\n\\]\n\n2. Multiply 61 by 6 (another part of 96): \n\\[\n61 \\times 6 = 366\n\\]\n\n3. Add the two results together:\n\\[\n5490 + 366 = 5856\n\\]\n\nSo the final answer:\n\\boxed{5856}",
... | [
"The model output attempts to perform the multiplication 61 x 96 step by step, but the explanation contains inaccuracies and inconsistent calculations. The solution provided is 5856, which is the correct product of 61 and 96. The model's reasoning leads to a final answer of 1365, which does not match the solution. ... | [
"1365",
"5736",
"5766",
"6336",
"5976",
"1365"
] | [
"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?
51 x 38
Think step by step. | 1938 | [
"To solve the long multiplication equation \\( 51 \\times 38 \\), we can use the standard algorithm for multiplication.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 51 & \\\\\n\\times & 38 & \\\\\n\\hline\n & 408 & & \\\\\n+ & 151 & & \\\\\n\\hline\n & 1918 & & \\\\\n\\end{array}\n\\]\n\nHere's a step-by-step breakdown of... | [
"The output states that 51 x 38 = 2,288, which does not match the solution provided, 1938. The reasoning in the output is correct in terms of the steps taken, but the final calculation is incorrect. The output's final answer is 2,288, which is different from the solution's 1938.",
"The model output concludes that... | [
"2288",
"777",
"",
"1938",
"1918",
"2288"
] | [
"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,
true,
false,
false
] |
What is the solution to the long multiplication equation below?
43 x 85
Think step by step. | 3655 | [
"To solve the long multiplication equation \\( 43 \\times 85 \\), we can use the standard multiplication method.\n\n\\[\n\\begin{array}{r}\n 43 \\\\\n\\times 85 \\\\\n\\hline\n 215 \\\\\n+3440 \\\\\n\\hline\n 3595 \\\\\n\\end{array}\n\\]\n\nSo the solution is:\n\n\\boxed{3595}",
"To solve the long multiplica... | [
"The model output provides a detailed step-by-step long multiplication process, ending with the final answer '3405'. The solution given is '3655'. Since the model's final answer '3405' does not match the solution '3655', the output is incorrect.",
"The model output provides the answer '3405', which is different f... | [
"3405",
"3405",
"3655",
"3405",
"3655",
"3405"
] | [
"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,
true,
false,
true,
false
] |
What is the solution to the long multiplication equation below?
72 x 51
Think step by step. | 3672 | [
"To solve the multiplication equation \\(72 \\times 51\\), we can use the standard multiplication algorithm.\n\n### Step-by-Step Solution:\n\n1. Multiply 72 by 1 (the ones place of 51):\n\\[\n72 \\times 1 = 72\n\\]\n2. Multiply 72 by 5 (the tens place of 51, which is actually 50 because of place value rules):\n\\[\... | [
"The model output provides a detailed step-by-step calculation of 72 x 51, breaking it down into smaller parts and summing them to arrive at 3672. The final answer quoted in the output is '3672', which matches the solution provided. Therefore, the output's final answer is correct and aligns with the solution.",
"... | [
"3672",
"3672",
"7332",
"3672",
"3672",
"3672"
] | [
"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,
false,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
69 x 14
Think step by step. | 966 | [
"To solve the long multiplication equation \\( 69 \\times 14 \\), we follow these steps:\n\n1. **Multiply 69 by 4 (the ones place of 14):**\n\\[\n69 \\times 4 = 276\n\\]\n\n2. **Multiply 69 by 1 (the tens place of 14, which is actually 10 because of place value rules):**\n\\[\n69 \\times 10 = 690\n\\]\n\n3. **Add t... | [
"The solution provided states the answer as 966, but the model output calculates the multiplication step by step and arrives at 154. Since the question asks for the solution to 69 x 14, the correct answer should be 966, matching the solution. The model output's final answer is 154, which does not match the solution... | [
"154",
"84",
"4 3",
"966",
"966",
"966"
] | [
"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,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
35 x 30
Think step by step. | 1050 | [
"To solve the multiplication equation \\(35 \\times 30\\):\n\n1. Multiply 35 by 30: \n\\[\n35 \\times 30 = 1050\n\\]\n\nSo the solution is:\n\\boxed{1050}",
"To solve the long multiplication equation \\(35 \\times 30\\):\n\n1. Multiply 35 by 30: \n\\[\n35 \\times 30 = 1050\n\\]\n\nSo the solution is:\n\\boxed{105... | [
"The output states that the final answer is 1050, which matches the solution provided. The reasoning in the output correctly breaks down the multiplication: 35 times 30 equals (35 times 3) times 10, which is 105 times 10, resulting in 1050. The output explicitly states 'the final result of 35 x 30 is 1050,' alignin... | [
"1050",
"1050",
"1050",
"1050",
"1050",
"1050"
] | [
"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?
45 x 91
Think step by step. | 4095 | [
"To solve the long multiplication equation \\( 45 \\times 91 \\), we can use the standard algorithm for multiplication.\n\nHere are the steps:\n\n1. **Multiply 45 by 1 (the ones place of 91):**\n\\[\n45 \\times 1 = 45\n\\]\n\n2. **Multiply 45 by 9 (the tens place of 91, which is actually 90 because of place value r... | [
"The model output provides a detailed step-by-step calculation of 45 multiplied by 91, resulting in 4095. It explicitly states the final answer as '4095' and confirms this as the solution to the multiplication problem.",
"The model output states, 'According to my manual check, the solution is indeed 4095.' The so... | [
"4095",
"4095",
"4095",
"4095",
"4095",
"4095"
] | [
"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?
77 x 65
Think step by step. | 5005 | [
"To solve the long multiplication equation \\( 77 \\times 65 \\), we can use the standard multiplication algorithm.\n\n### Step-by-Step Solution:\n\n1. Multiply 77 by 5 (the ones place of 65):\n\\[\n77 \\times 5 = 385\n\\]\n2. Multiply 77 by 6 (the tens place of 65, which is actually 60 because of place value rules... | [
"The model output concludes that the product of 77 and 65 is 4005, based on the addition of 385 and 4620. The solution provided states that the correct answer is 5005. Since the model's final answer (4005) does not match the solution (5005), the output is incorrect.",
"The model output provides a step-by-step cal... | [
"4005",
"4005",
"395",
"4005",
"(No explicit final answer provided)",
"4005"
] | [
"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?
22 x 90
Think step by step. | 1980 | [
"To solve the multiplication equation \\( 22 \\times 90 \\), we can break it down into simpler steps.\n\n1. **Multiply 22 by 90:**\n \n We can think of \\( 90 \\) as \\( 9 \\times 10 \\). So,\n \\[\n 22 \\times 90 = 22 \\times (9 \\times 10) = (22 \\times 9) \\times 10\n \\]\n\n2. **Multiply 22 by 9:**\n ... | [
"The model output ultimately states the final answer as 1980, which matches the solution provided. The reasoning steps, despite being somewhat convoluted, lead to the correct final answer. The key part is the final statement: 'Final result: 22 x 90 = 1980,' which confirms the correctness.",
"The model output stat... | [
"1980",
"1980",
"1980",
"",
"1782",
"1980"
] | [
"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?
10 x 92
Think step by step. | 920 | [
"To solve the long multiplication equation \\(10 \\times 92\\):\n\n1. Multiply 10 by 90 (the first part of 92):\n\\[\n10 \\times 90 = 900\n\\]\n\n2. Multiply 10 by 2 (the second part of 92):\n\\[\n10 \\times 2 = 20\n\\]\n\n3. Add the two results together:\n\\[\n900 + 20 = 920\n\\]\n\nSo the final answer is:\n\\boxe... | [
"The output provides a detailed step-by-step explanation of multiplying 10 by 92, including the partial products and the final sum, which matches the solution 920. The final answer extracted from the output is '920', which matches the solution.",
"The model output does not provide a final answer; it only states '... | [
"920",
"",
"110",
"920",
"1120",
"920"
] | [
"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,
false,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
27 x 52
Think step by step. | 1404 | [
"To solve the long multiplication equation \\( 27 \\times 52 \\), we can use the standard multiplication algorithm.\n\n### Step-by-Step Solution:\n\n1. Multiply 27 by 2 (the ones place of 52):\n\\[\n27 \\times 2 = 54\n\\]\nWrite down 4 and carry over 5.\n\n2. Multiply 27 by 5 (the tens place of 52, which is actuall... | [
"The solution states the answer is 1404, but the model output calculates the product as 179. The model's detailed step-by-step calculation results in 179, which does not match the solution's answer of 1404. Therefore, the model output is incorrect with respect to the solution.",
"The output provides a step-by-ste... | [
"179",
"179",
"3624",
"1384",
"1404",
"179"
] | [
"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,
true,
false
] |
What is the solution to the long multiplication equation below?
65 x 73
Think step by step. | 4745 | [
"To solve the long multiplication equation \\(65 \\times 73\\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 65 by 3 (the ones place of 73):\n\\[\n65 \\times 3 = 195\n\\]\n\n2. Multiply 65 by 7 (the tens place of 73, which is actually 70 because of place value rules):\n\\... | [
"The output provides a detailed step-by-step long multiplication process, attempting to compute 65 x 73. It concludes with the answer 4745, which matches the solution provided. The reasoning in the output aligns with the standard multiplication process, and the final answer quoted is 4745.",
"The model output con... | [
"4745",
"4745",
"No numerical answer provided",
"4745",
"4745",
"(No explicit final answer provided)"
] | [
"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,
false,
true,
true,
false
] |
What is the solution to the long multiplication equation below?
40 x 43
Think step by step. | 1720 | [
"To solve the long multiplication equation \\(40 \\times 43\\), we can break it down into simpler steps.\n\n1. First, let's multiply 40 by 3 (the ones place of 43): \n\\[\n40 \\times 3 = 120\n\\]\n\n2. Next, multiply 40 by 4 (the tens place of 43, which is actually 40 because of place value rules): \n\\[\n40 \\time... | [
"The output provides a detailed step-by-step calculation, ending with the statement 'So, the solution to the multiplication problem 40 x 43 is 1720.' The solution given in the problem is 1720, which matches the final answer in the output. The intermediate calculations (120 and 160) are correct for the steps describ... | [
"1720",
"2720",
"1720",
"1720",
"1720",
"1720"
] | [
"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?
71 x 74
Think step by step. | 5254 | [
"To solve the long multiplication equation \\( 71 \\times 74 \\), we can use the standard multiplication algorithm.\n\n### Step-by-Step Use of Qwen:\n\n1. Multiply 71 by 4 (the ones place of 74):\n\\[\n71 \\times 4 = 284\n\\]\n\n2. Multiply 71 by 7 (the tens place of 74, which is actually 70 because of place value ... | [
"The solution provided is 5254, but the step-by-step calculation in the model output leads to 5214. Since the model's detailed calculation results in 5214, which differs from the solution's 5254, the model output is incorrect.",
"The model output states that the solution to 71 x 74 is 5214, and it confirms this b... | [
"5214",
"5214",
"5214",
"5214",
"5214",
"5214"
] | [
"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?
83 x 33
Think step by step. | 2739 | [
"To solve the multiplication equation \\(83 \\times 33\\), we can use the standard multiplication method.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 83 & \\times & 33 & \\\\\n & & & 249 & (83 \\times 30) \\\\\n & 249 & & & 249 & (83 \\times 3) \\\\\n\\hline\n & 2849 & & & \\\\\n\\end{array}\n\\]\n\nSo the solution is:\n... | [
"The model output attempts to perform long multiplication of 83 by 33, but the calculations and the final answer it provides are inconsistent with the actual multiplication. The output quotes a final answer of 2759, but the solution states 2739. The step-by-step calculations in the output are also incorrect: it cla... | [
"2759",
"2777",
"2757",
"2759",
"2759",
"2739"
] | [
"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?
83 x 88
Think step by step. | 7304 | [
"To solve the long multiplication equation \\( 83 \\times 88 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 83 by 8 (the ones place of 88):\n\\[\n83 \\times 8 = 664\n\\]\n\n2. Multiply 83 by 8 (the tens place of 88, which is actually 80 because of place value rules):\n... | [
"The model output provides a detailed step-by-step multiplication process, but the final computed sum is 7104, which matches the solution provided (7304) only if the calculation was correct. However, the sum of 24 + 64 + 168 + 204 equals 460, which does not match the final answer of 7104. Additionally, the initial ... | [
"7104",
"No answer provided",
"",
"(No numerical answer provided)",
"7104",
"7104"
] | [
"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?
24 x 63
Think step by step. | 1512 | [
"To solve the multiplication equation \\(24 \\times 63\\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{r}\n 24 \\\\\n\\times 63 \\\\\n\\hline\n 72 \\\\\n +1440 \\\\\n\\hline\n 1512 \\\\\n\\end{array}\n\\]\n\nSo the solution is:\n\n\\boxed{1512}",
"To solve the multiplication ... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 24 x 63, ending with the final answer of 1440. The solution given in the prompt is 1512, which does not match the model's final answer. Therefore, the model's final answer is incorrect with respect to the provided solution.",
... | [
"1440",
"1440",
"1440",
"1488",
"1440",
"14,52"
] | [
"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?
86 x 66
Think step by step. | 5676 | [
"To solve the long multiplication equation 86 x 66, we need to follow the steps of long multiplication.\n\n1. Multiply 86 by 6 (the ones place of 66):\n\\[\n86 \\times 6 = 516\n\\]\n\n2. Multiply 86 by 6 (the tens place of 66, which is actually 60 because of place value rules):\n\\[\n86 \\times 60 = 5160\n\\]\n\n3.... | [
"The model output attempts to explain the step-by-step process of multiplying 86 by 66, but the explanation is inconsistent and contains errors. It mentions calculations like '6 x 6 = 36' and '6 x 6 + 3 = 45', which are parts of the multiplication process, but then the explanation becomes confusing, referencing 'mu... | [
"582",
"582",
"5676",
"582",
"",
"5676"
] | [
"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,
true,
false,
false,
true
] |
What is the solution to the long multiplication equation below?
82 x 72
Think step by step. | 5904 | [
"To solve the long multiplication equation \\( 82 \\times 72 \\):\n\n1. Multiply 82 by 70 (this is easy because it is a simple multiplication of 82 by 70 is straightforward):\n\\[\n82 \\times 70 = 5740\n\\]\n\n2. Multiply 82 by 2 (this is also an straightforward multiplication of 82 by 2 is direct):\n\\[\n82 \\time... | [
"The model output provides a detailed step-by-step process for multiplying 82 by 72, including partial calculations and the final answer. It concludes with the final product as 6384. The solution given is 5904, which does not match the model output's final answer. Since the model's final answer is 6384, and the sol... | [
"6384",
"6384",
"6384",
"5904",
"6384",
"6384"
] | [
"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,
true,
false,
false
] |
What is the solution to the long multiplication equation below?
26 x 54
Think step by step. | 1404 | [
"To solve the multiplication equation \\( 26 \\times 54 \\), we can use the standard multiplication algorithm.\n\n### Step-by-Step Solution:\n\n1. Multiply 26 by 4 (the ones place of 54):\n\\[\n26 \\times 4 = 104\n\\]\n\n2. Multiply 26 by 5 (the tens place of 54, which is actually 50 because of place value rules):\... | [
"The model output provides a detailed step-by-step calculation of 26 multiplied by 54, ultimately arriving at 1404. The solution given is 1404, and the model's reasoning confirms this as the correct product. The final answer extracted from the output is '1404', which matches the solution.",
"The output provides a... | [
"1404",
"234",
"1404",
"1404",
"1404",
"390"
] | [
"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?
31 x 68
Think step by step. | 2108 | [
"To solve the long multiplication equation \\( 31 \\times 68 \\), we can use the standard multiplication algorithm.\n\nLet's multiply 31 by 68 step by step:\n\n1. Multiply 31 by 8 (the ones place of 68):\n\\[\n31 \\times 8 = 248\n\\]\n\n2. Multiply 31 by 6 (the tens place of 68, which is actually 60 because of plac... | [
"The solution provided states that the answer to 31 x 68 is 2108, which matches the initial calculation steps where 31 x 8 = 248 and 31 x 60 = 1860, summing to 2108. The model output then incorrectly adds 18600 at the end, which is not part of the original calculation, leading to an incorrect total. The final answe... | [
"20708",
"20708",
"2078",
"20708",
"2108",
"2108"
] | [
"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,
true,
true
] |
What is the solution to the long multiplication equation below?
94 x 53
Think step by step. | 4982 | [
"To solve the long multiplication equation \\(94 \\times 53\\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{r}\n 94 \\\\\n\\times 53 \\\\\n\\hline\n 282 \\quad (94 \\times 3) \\\\\n 470 \\quad (94 \\times 50) \\\\\n\\hline\n 5062 \\\\\n\\end{array}\n\\]\n\nSo the solution is:\n\n... | [
"The solution provided states that the answer to 94 x 53 is 4982, but the detailed step-by-step calculation at the end concludes the answer is 1962. Since the final answer in the solution is 1962, and the model output's reasoning aligns with this, the model output's final answer is 1962. The solution's stated answe... | [
"1962",
"1962",
"1962",
"4042",
"1922",
"50708"
] | [
"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,
false,
false,
false,
true
] |
What is the solution to the long multiplication equation below?
51 x 34
Think step by step. | 1734 | [
"To solve the long multiplication equation \\(51 \\times 34\\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 51 \\\\\n\\times & 34 \\\\\n\\hline\n & 2040 \\\\\n+ & 153 \\\\\n\\hline\n\\boxed{1734}\n\\end{array}\n\\]\n\nStep-by-step explanation:\n\n1. Multiply 51 by 4 (the ... | [
"The output provides a detailed step-by-step calculation of 51 multiplied by 34, including partial products and their sum. It concludes with the final answer '357'. The solution given is '1734', which does not match the computed result. The reasoning in the output correctly computes the product as 357, indicating t... | [
"357",
"1734",
"357",
"3570",
"1714",
"3570"
] | [
"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,
false,
false,
true,
true
] |
What is the solution to the long multiplication equation below?
67 x 71
Think step by step. | 4757 | [
"To solve the long multiplication equation \\( 67 \\times 71 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 67 by 1 (the ones place of 71):\n\\[\n67 \\times 1 = 67\n\\]\n\n2. Multiply 67 by 7 (the tens place of 71, which is actually 70 because of place value rules):\n\... | [
"The output provides a detailed step-by-step process of long multiplication, but the final answer given at the end is 4497, which does not match the solution 4757. The reasoning in the output is inconsistent with the actual multiplication of 67 and 71, and the final answer is incorrect.",
"The model output provid... | [
"4497",
"4477",
"4497",
"4757",
"4, 449",
"4497"
] | [
"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,
true,
false,
false
] |
What is the solution to the long multiplication equation below?
73 x 79
Think step by step. | 5767 | [
"To solve the long multiplication equation \\( 73 \\times 79 \\), we will use the standard multiplication algorithm.\n\n1. **Multiply 73 by 9 (ones place of 79):**\n\\[\n73 \\times 9 = 657\n\\]\n\n2. **Multiply 73 by 7 (tens place of 79, which is actually 70 because of place value rules):**\n\\[\n73 \\times 70 = 51... | [
"The model output provides an explanation of the multiplication process and concludes with the product '5697'. The solution given is '5767'. Comparing these, the model's final answer does not match the solution. Therefore, the output is incorrect.",
"The model output attempts to verify the multiplication of 73 by... | [
"5697",
"5820",
"1362",
"5767",
"5697",
"Wait, how?"
] | [
"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,
true,
true,
false
] |
What is the solution to the long multiplication equation below?
92 x 21
Think step by step. | 1932 | [
"To solve the multiplication equation \\( 92 \\times 21 \\), we can break it down into simpler steps using the distributive property of multiplication over addition.\n\nFirst, we can express \\( 92 \\times 21 \\) as:\n\\[ 92 \\times 21 = 92 \\times (20 + 1) = 92 \\times 20 + 92 \\times 1 \\]\n\nNext, we perform the... | [
"The model output provides a detailed step-by-step breakdown of the multiplication, ultimately calculating the product as 2760. The solution given in the problem states that the correct answer is 1932. Since 2760 does not match 1932, the model's final answer is incorrect.",
"The model output attempts to verify th... | [
"2760",
"2760",
"2760",
"",
"2760",
"277"
] | [
"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?
76 x 46
Think step by step. | 3496 | [
"To solve the long multiplication equation \\( 76 \\times 46 \\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 76 \\\\\n\\times & 46 \\\\\n\\hline\n & 456 \\\\\n+ & 3040 \\\\\n\\hline\n & 3456\n\\end{array}\n\\]\n\nHere's a step-by-step breakdown:\n\n1. Multiply 76 by 6 (t... | [
"The output states that the multiplication of 76 and 46 results in 3596, which is obtained by multiplying 76 by 6 to get 456, multiplying 76 by 40 to get 3040, and then adding these to get 3596. The solution provided is 3496, which does not match the output's calculated result. Therefore, the output's final answer ... | [
"3596",
"The model output does not contain a final answer; it only asks a question about verification.",
"",
"3496",
"3601",
"3496"
] | [
"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,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
16 x 38
Think step by step. | 608 | [
"To solve the long multiplication equation \\(16 \\times 38\\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 1 & 6 \\\\\n\\times & 3 & 8 \\\\\n\\hline\n & 1 & 2 & 8 \\\\\n+ & 4 & 8 & 0 \\\\\n\\hline\n & 6 & 0 & 8 \\\\\n\\end{array}\n\\]\n\nSo the solution is:\n\n\\boxed{60... | [
"The solution provided in the solution is 608, but the model output calculates the product as 640. The model output correctly applies the distributive property and computes the intermediate steps, but the final calculation sums to 640, which does not match the solution's answer of 608. Therefore, the model output's... | [
"640",
"608",
"640",
"608",
"640",
"608"
] | [
"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,
false,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
10 x 28
Think step by step. | 280 | [
"To solve the multiplication equation \\( 10 \\times 28 \\):\n\n1. Multiply 10 by 20 to get the tens place: \\( 10 \\times 20 = 200 \\)\n2. Multiply 10 by 8 to get the ones place: \\( 10 \\times 8 = 80 \\)\n\nCombine these results:\n\n\\[\n10 \\times 28 = 200 + 80 = 280\n\\]\n\nSo the final answer is:\n\n\\boxed{28... | [
"The model's output concludes that 10 x 28 equals 300, based on a step-by-step multiplication process. However, the solution provided states that the correct answer is 280. Since 10 multiplied by 28 is 280, the model's final answer is incorrect.",
"The model output states 'Thus, 10 x 20 = 300,' which is incorrect... | [
"300",
"300",
"280",
"300",
"300",
"280"
] | [
"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,
true,
false,
false,
true
] |
What is the solution to the long multiplication equation below?
71 x 41
Think step by step. | 2911 | [
"71 x 41 \n\n= 71 x (40+1)\n= 71 x 40 + 71 x 1\n= 2840 + 71\n= 2911\n\nSo the solution is:\n\n\\boxed{2911}",
"71 x 41 \n\n= 71 x (40+1)\n= 71 x 40 + 71 x 1\n= 2840 + 71\n= 2911\n\nSo the solution is:\n\n\\boxed{2911}",
"71 x 41 \n\n= 71 x (40+1)\n= 71 x 40 + 71 x 1\n= 2840 + 71\n= 2911\n\nSo the solution is:\n... | [
"The model output correctly performs the long multiplication step-by-step, arriving at the final answer 2911, which matches the provided solution. The final answer quoted in the output is '2911', which is consistent with the solution.",
"The model output does not provide a numerical answer to the multiplication p... | [
"2911",
"(No numerical answer provided)",
"2911",
"2911",
"2911",
"2911"
] | [
"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?
90 x 13
Think step by step. | 1170 | [
"To solve the long multiplication equation \\(90 \\times 13\\), we can use the standard multiplication algorithm.\n\n1. Multiply 90 by 3 (the ones place of 13):\n\\[\n90 \\times 3 = 270\n\\]\n\n2. Multiply 90 by 10 (the tens place of 13, which is actually 100 because of place value rules):\n\\[\n90 \\times 10 = 900... | [
"The model output correctly follows the step-by-step process of long multiplication, breaking down 13 into 10 and 3, multiplying each by 90, and summing the results. It concludes with the answer 1170, which matches the provided solution.",
"The model output states '90 multiplied by 13 is 1170,' which directly con... | [
"1170",
"1170",
"1170",
"1170",
"1170",
"1170"
] | [
"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?
60 x 86
Think step by step. | 5160 | [
"To solve the long multiplication equation \\(60 \\times 86\\), we can break it down into simpler steps.\n\n1. Let's multiply 60 by 80 first:\n\\[\n60 \\times 80 = 4800\n\\]\n\n2. Then, multiply 60 by 6 (which is the opposite digit of 80):\n\\[\n60 \\times 6 = 360\n\\]\n\n3. Add the two results together:\n\\[\n4800... | [
"The model output provides a detailed step-by-step solution that correctly computes 60 x 86 as 5160, matching the given solution. It breaks down the multiplication into parts, calculates each, and sums them correctly.",
"The model output provides a detailed calculation: '480 + 360 = 5160' and concludes that the c... | [
"5160",
"5160",
"5160",
"5160",
"5160",
"5160"
] | [
"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?
43 x 78
Think step by step. | 3354 | [
"To solve the long multiplication equation \\( 43 \\times 78 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 43 by 8 (the ones place of 78):\n\\[\n43 \\times 8 = 344\n\\]\n\n2. Multiply 43 by 7 (the tens place of 78, which is actually 70 because of place value rules):\n... | [
"The model output correctly performs the long multiplication step by step: multiplying 43 by 8 to get 344, then multiplying 43 by 7 to get 301, and correctly adjusting for place value to sum to 3354. The final answer provided is 3354, which matches the solution given.",
"The model output provides a step-by-step m... | [
"3354",
"3354",
"3354",
"3354",
"3354",
"3354"
] | [
"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?
35 x 71
Think step by step. | 2485 | [
"To solve the long multiplication equation \\( 35 \\times 71 \\), we can use the standard algorithm for multiplying numbers.\n\nHere are the steps:\n\n1. Multiply 35 by 1 (the ones place of 71):\n\\[\n35 \\times 1 = 35\n\\]\n\n2. Multiply 35 by 7 (the tens place of 71, which is actually 70 because of place value ru... | [
"The model output provides a detailed step-by-step explanation of multiplying 35 by 71, including partial products and their addition. It concludes with the calculation '35 x 71 = 2485' and verifies this with a calculator. The solution given is 2485, matching the final answer in the model output.",
"The model out... | [
"2485",
"2485",
"2485",
"2485",
"2485",
"2485"
] | [
"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?
63 x 28
Think step by step. | 1764 | [
"To solve the long multiplication equation \\( 63 \\times 28 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 63 by 8 (the ones place of 28):\n\\[\n63 \\times 8 = 504\n\\]\n\n2. Multiply 63 by 2 (the tens place of 28, which is actually 20 because of place value rules):\n... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 63 x 28, ultimately arriving at the product 5264. The solution given in the initial problem statement is 1764, which does not match the computed product. The model's final answer is 5264, which is correct for 63 x 28, but it d... | [
"5264",
"",
"1764",
"5264",
"Wait, how?",
"1764"
] | [
"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,
true,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
81 x 76
Think step by step. | 6156 | [
"To solve 81 x 76 using long multiplication, follow these steps:\n\n1. Multiply 81 by 6 (the ones place of 76).\n\\[\n81 \\times 6 = 486\n\\]\n\n2. Multiply 81 by 7 (the tens place of 76, which is actually 70 because of place value rules).\n\\[\n81 \\times 70 = 5670\n\\]\n\n3. Add the two results together.\n\\[\n48... | [
"The output provides a step-by-step explanation of multiplying 81 by 76, resulting in 6156, which matches the solution provided. The final answer quoted in the output is '6156', which aligns with the solution.",
"The model output does not provide a numerical answer to the multiplication problem 81 x 76. Instead, ... | [
"6156",
"6156",
"6156",
"6156",
"6156",
"6326"
] | [
"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,
false
] |
What is the solution to the long multiplication equation below?
94 x 55
Think step by step. | 5170 | [
"To solve the multiplication equation \\( 94 \\times 55 \\), we can use the standard multiplication method.\n\n### Step-by-Step Solution:\n\n1. Multiply 94 by 5 (the ones place of 55):\n\\[\n94 \\times 5 = 470\n\\]\n\n2. Multiply 94 by 5 (the tens place of 55, which is actually 50 because of place value rules):\n\\... | [
"The model output provides a detailed step-by-step explanation of the multiplication process, but the final answer given is 7070. The solution states that the correct answer is 5170. Since 7070 does not match the solution's answer of 5170, the output is incorrect.",
"The model output states the answer as '5170', ... | [
"7070",
"5170",
"73",
"5190",
"497",
"5170"
] | [
"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,
true
] |
What is the solution to the long multiplication equation below?
25 x 83
Think step by step. | 2075 | [
"To solve the long multiplication equation \\( 25 \\times 83 \\), break it down step by step:\n\n1. Multiply 25 by 80 (one part of 83):\n\\[\n25 \\times 80 = 2000\n\\]\n\n2. Multiply 25 by 3 (another part of 83):\n\\[\n25 \\times 3 = 75\n\\]\n\n3. Add the two results together:\n\\[\n2000 + 75 = 2075\n\\]\n\nSo the ... | [
"The model output provides a detailed step-by-step calculation of 25 multiplied by 83, breaking down 83 into 80 and 3, multiplying each part by 25, and then summing the results. The final answer given is 2075, which matches the solution provided. The reasoning is correct and aligns with standard multiplication meth... | [
"2075",
"2065",
"2075",
"2575",
"2075",
"2075"
] | [
"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,
false,
true,
true
] |
What is the solution to the long multiplication equation below?
65 x 56
Think step by step. | 3640 | [
"To solve the long multiplication equation 65 x 56, you can use the standard multiplication method.\n\n65\nx 56\n-----\n390 (65 x 6)\n3250 (65 x 50, shifted one place to the left)\n\nThe product of 65 x 56 is 3,560.\n\nWait, this result is incorrect. Let's correct the multiplication method:\n\n65\nx 56\n-----\n39... | [
"The model output attempts to perform long multiplication step by step, but the calculations and the final answer it provides ('36012') do not match the solution ('3640') given in the problem. The reasoning in the output is inconsistent and contains errors, such as multiplying 5 x 6 = 30, then adding 30 + 30 = 60, ... | [
"36012",
"3456",
"",
"3860",
"36012",
"No explicit answer provided"
] | [
"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?
87 x 31
Think step by step. | 2697 | [
"To solve the long multiplication equation \\( 87 \\times 31 \\), follow these steps:\n\n1. Multiply 87 by 1 (the ones place of 31):\n\\[\n87 \\times 1 = 87\n\\]\n\n2. Multiply 87 by 3 (the tens place of 31, which is actually 30 because of place value rules):\n\\[\n87 \\times 30 = 2610\n\\]\n\n3. Add the two result... | [
"The model output provides a step-by-step process for multiplying 87 by 31, but the final answer given is 348, which does not match the solution 2697. The reasoning in the output is incorrect because it incorrectly combines the partial products by addition instead of properly aligning and summing the partial produc... | [
"348",
"348",
"2697",
"3045",
"348",
"435"
] | [
"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,
true,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
30 x 76
Think step by step. | 2280 | [
"To solve the long multiplication equation \\( 30 \\times 76 \\), we can break it down into simpler steps.\n\n1. **Multiply 30 by 6 (the ones place of 76):**\n\\[\n30 \\times 6 = 180\n\\]\n\n2. **Multiply 30 by 7 (the tens place of 76, which is actually 70 because of place value rules):**\n\\[\n30 \\times 70 = 2100... | [
"The model output correctly performs the multiplication step-by-step, breaking down 76 into 70 + 6, applying the distributive property, calculating 30 x 70 as 2100, and 30 x 6 as 180, then summing these to get 2280. The final answer quoted is '2280', which matches the solution provided. Therefore, the output's fina... | [
"2280",
"2280",
"2280",
"2280",
"390",
"2280"
] | [
"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?
23 x 92
Think step by step. | 2116 | [
"To solve the multiplication equation \\(23 \\times 92\\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{c@{}c@{}c}\n & 23 & & \\times & 92 \\\\\n\\hline\n & 46 & 6 & & \\times & 90 \\\\\n+ & 23 & & \\times & 20 \\\\\n\\hline\n & 2106 & & & \\\\\n\\end{array}\n\\]\n\nStep 1: Multiply 23 b... | [
"The solution states that the answer is 2116, but the model output calculates the product as 4140. Since the model's calculation is correct based on the step-by-step reasoning, the final answer should match the solution's answer to be correct. The model output's final answer is 4140, which does not match the soluti... | [
"4140",
"4140",
"2146",
"4140",
"2116",
"4140"
] | [
"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,
true,
false
] |
What is the solution to the long multiplication equation below?
21 x 75
Think step by step. | 1575 | [
"To solve the multiplication equation \\( 21 \\times 75 \\), we can use the standard multiplication method.\n\nStep 1: Multiply 21 by 70 (this is easy because it is a simple multiplication of 20 and 70):\n\\[\n21 \\times 70 = 1470\n\\]\n\nStep 2: Multiply 21 by 5 (this is also an straightforward multiplication):\n\... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, breaking down 75 into 70 and 5, calculating each part, and summing the results. The final answer given is 1575, which matches the solution provided. The reasoning is correct and aligns with the solution.",
"The model output... | [
"1575",
"1575",
"630",
"1575",
"The model output does not contain a final answer.",
""
] | [
"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,
false,
true,
false,
false
] |
What is the solution to the long multiplication equation below?
47 x 42
Think step by step. | 1974 | [
"To solve the long multiplication equation \\(47 \\times 42\\), we can use the standard multiplication algorithm.\n\n### Step-by-Step Calculation:\n\n1. Multiply 47 by 2 (the ones place of 42):\n\\[\n47 \\times 2 = 94\n\\]\n2. Multiply 47 by 4 (the tens place of 42, which is actually 40 because of place value rules... | [
"The model output attempts to perform long multiplication step by step, but the explanation is inconsistent and contains errors. It starts correctly by setting up the multiplication, then proceeds to multiply digits, but the calculations and the reasoning become confusing and incorrect. The partial products and the... | [
"1994",
"(no numerical answer provided)",
"1994",
"1994",
"1994",
"564"
] | [
"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?
90 x 12
Think step by step. | 1080 | [
"To solve the long multiplication equation \\( 90 \\times 12 \\), we can break it down into simpler steps.\n\n1. Break down \\( 90 \\times 12 \\) into \\( 90 \\times (10 + 2) \\):\n\\[\n90 \\times 12 = 90 \\times 10 + 90 \\times 2\n\\]\n\n2. Calculate each part separately:\n\\[\n90 \\times 10 = 900\n\\]\n\\[\n90 \\... | [
"The model output correctly explains the step-by-step process of multiplying 90 by 12 by breaking it into 90 x 10 and 90 x 2, then adding the results. It concludes with the answer 1080, which matches the solution provided.",
"The model output provides a step-by-step breakdown of multiplying 90 by 12, correctly br... | [
"1080",
"1080",
"1080",
"1080",
"1080",
"1800"
] | [
"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,
false
] |
What is the solution to the long multiplication equation below?
83 x 88
Think step by step. | 7304 | [
"To solve the long multiplication equation \\( 83 \\times 88 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 83 by 8 (the ones place of 88):\n\\[\n83 \\times 8 = 664\n\\]\n\n2. Multiply 83 by 8 (the tens place of 88, which is actually 80 because of place value rules):\n... | [
"The model output provides a detailed step-by-step multiplication process, but the final computed answer at the end is 7104, which is different from the solution's answer of 7304. The reasoning steps in the output are inconsistent and contain errors, especially in the calculations and the final summation. Since the... | [
"7104",
"",
"",
"No answer provided",
"7104",
"7104"
] | [
"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?
83 x 29
Think step by step. | 2407 | [
"To solve the long multiplication equation \\(83 \\times 29\\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{r}\n 83 \\\\\n \\times 29 \\\\\n \\hline\n 747 \\\\\n 166 \\\\\n \\hline\n 2437 \\\\\n\\end{array}\n\\]\n\nSo the solution is \\boxed{2437}.\n\nWait! I can double ch... | [
"The model output computes the product of 83 and 29 as 2417, which is close to the solution 2407 but not correct. The reasoning in the output shows the steps of multiplication, but the final calculation is incorrect. The correct product of 83 and 29 is 2407, as given in the solution.",
"The solution provided is 2... | [
"2417",
"2417",
"2417",
"2417",
"2417",
"935"
] | [
"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?
12 x 13
Think step by step. | 156 | [
"To solve the long multiplication equation \\(12 \\times 13\\), we can use the standard multiplication method.\n\n### Step-by-Step Solution:\n\n1. Multiply 12 by 3 (the ones place of 13):\n\n\\[\n12 \\times 3 = 36\n\\]\n\n2. Multiply 12 by 1 (the tens place of 13, which is actually 10 because of place value rules):... | [
"The model output provides a detailed step-by-step explanation of multiplying 12 by 13, including intermediate calculations and the final sum, which results in 156. The solution given is 156, matching the final answer in the explanation. The reasoning aligns with the solution, and the final answer extracted from th... | [
"156",
"156",
"156",
"156",
"156",
"156"
] | [
"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?
27 x 81
Think step by step. | 2187 | [
"To solve the long multiplication equation \\( 27 \\times 81 \\), we can break it down into simpler steps.\n\n1. **Multiply 27 by 80 (one part of 81):**\n\\[\n27 \\times 80 = 2160\n\\]\n\n2. **Multiply 27 by 1 (another part of 81):**\n\\[\n27 \\times 1 = 27\n\\]\n\n3. **Add the two results together:**\n\\[\n2160 + ... | [
"The solution provided states that the answer to 27 x 81 is 2187. The model output attempts to compute 27 x 81 step by step, but the final calculation in the output results in 2207, which does not match the solution's answer of 2187. Therefore, the model's final answer does not match the solution.",
"The model ou... | [
"2207",
"Wait, how?",
"1947",
"",
"",
"2207"
] | [
"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?
38 x 21
Think step by step. | 798 | [
"To solve the multiplication equation \\( 38 \\times 21 \\), we can use the standard multiplication algorithm.\n\nLet's break it down step by step:\n\n1. Multiply 38 by 1 (the ones place of 21):\n\\[\n38 \\times 1 = 38\n\\]\n\n2. Multiply 38 by 2 (the tens place of 21, which is actually 20 because of place value ru... | [
"The model's output calculates 38 x 21 as 114, which is the result of multiplying 38 by 1 (38) and then adding 38 multiplied by 2 (76), but this approach is incorrect for long multiplication. The solution provided is 798, which is the correct product of 38 and 21. Therefore, the model's final answer (114) does not ... | [
"114",
"114",
"84",
"114",
"No answer provided",
"798"
] | [
"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,
true
] |
What is the solution to the long multiplication equation below?
85 x 14
Think step by step. | 1190 | [
"To solve the multiplication equation \\( 85 \\times 14 \\), we can use the standard multiplication method.\n\nStep 1: Multiply 85 by 4 (the ones place of 14):\n\\[\n85 \\times 4 = 340\n\\]\n\nStep 2: Multiply 85 by 1 (the tens place of 14, which is actually 10 because of place value rules):\n\\[\n85 \\times 10 = 8... | [
"The model output attempts to explain the steps for multiplying 85 by 14, but the explanation is inconsistent and contains errors, especially in the multiplication steps and the final calculation. The solution provided is 1190, which is correct for 85 x 14. The model's explanation does not correctly arrive at this ... | [
"1190",
"1190",
"14",
"1190",
"1190",
"1190"
] | [
"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,
false,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
85 x 70
Think step by step. | 5950 | [
"To solve the multiplication equation \\( 85 \\times 70 \\):\n\n1. Multiply 85 by 70: \n\\[\n85 \\times 70 = 5950\n\\]\n\nSo the solution is:\n\\boxed{5950}",
"To solve the multiplication equation \\( 85 \\times 70 \\):\n\n1. Multiply 85 by 70: \n\\[\n85 \\times 70 = 5950\n\\]\n\nSo the solution is:\n\\boxed{5950... | [
"The solution provided in the solution section is 5950, but the model output calculates the product as 5650. The model's reasoning involves breaking down 85 into 80 + 5 and 70 into 7 * 10, then multiplying each part and summing: 5 x 70 = 350, 80 x 70 = 5600, and total 5650. The model output states the answer as 565... | [
"5650",
"9100",
"6150",
"5650",
"5650",
"5650"
] | [
"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,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
63 x 51
Think step by step. | 3213 | [
"To solve the long multiplication equation \\( 63 \\times 51 \\), we can use the standard multiplication algorithm.\n\n\\[\n\\begin{array}{r}\n 63 \\\\\n\\times 51 \\\\\n\\hline\n 63 \\\\\n 315 \\\\\n\\hline\n 3163 \\\\\n\\end{array}\n\\]\n\nHere's a step-by-step breakdown:\n\n1. Multiply 63 by 1 (the ones pl... | [
"The model output concludes that 63 multiplied by 51 equals 321, based on the step-by-step calculation. However, the actual multiplication of 63 by 51 yields a different result. The solution provided states the answer as 3213, which is the correct product of 63 and 51. Therefore, the model's final answer of 321 doe... | [
"321",
"",
"3213",
"3213",
"",
"3213"
] | [
"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,
true,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
55 x 84
Think step by step. | 4620 | [
"To solve the long multiplication equation \\( 55 \\times 84 \\), we can use the standard multiplication algorithm.\n\nLet's break it down step by step:\n\n1. Multiply 55 by 4 (the ones place of 84):\n\\[\n55 \\times 4 = 220\n\\]\n\n2. Multiply 55 by 8 (the tens place of 84, which is actually 80 because of place va... | [
"The model output provides a detailed step-by-step process for multiplying 55 by 84, including intermediate calculations and the final sum. It concludes that 55 x 84 equals 4440. The solution states the answer as 4620, which does not match the model's final computed value. Therefore, the model's final answer is 444... | [
"4440",
"4440",
"4440",
"4440",
"4440",
"4440"
] | [
"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?
23 x 68
Think step by step. | 1564 | [
"To solve the long multiplication equation \\( 23 \\times 68 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 23 by 8 (the ones place of 68):\n\\[\n23 \\times 8 = 184\n\\]\n\n2. Multiply 23 by 6 (the tens place of 68, which is actually 60 because of place value rules):\n... | [
"The output provides a detailed step-by-step long multiplication process, ending with the calculation 23 x 68 = 1652. The solution given is 1564, which does not match the final answer in the output. Therefore, the output's final answer is incorrect with respect to the solution.",
"The output provides a detailed s... | [
"1652",
"1611",
"1652",
"1652",
"1652",
"1651"
] | [
"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?
42 x 36
Think step by step. | 1512 | [
"Certainly!\n\n1) First, let's multiply the units digits:\n 2 x 6 = 12\n\n2) Now, let's multiply the tens digits and consider the carry-over:\n\n - 4 x 6 (the tens digit of 36) = 24. Since we're multiplying by the tens, this becomes 240.\n - 4 x 3 (the tens digit of 36) = 12. Adding the carry-over from the pr... | [
"The model output provides a detailed step-by-step process of multiplying 42 by 36, but the final answer given is 1566, which does not match the solution 1512. The reasoning in the output shows an incorrect calculation leading to 1566, indicating the output is not correct with respect to the solution.",
"The mode... | [
"1566",
"1566",
"",
"1512",
"1566",
"1566"
] | [
"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,
true,
false,
false
] |
What is the solution to the long multiplication equation below?
68 x 18
Think step by step. | 1224 | [
"To solve the multiplication equation \\(68 \\times 18\\), we can use the standard multiplication algorithm.\n\n### Step-by-Step Solution:\n\n1. Multiply 68 by 8 (the ones place of 18):\n\\[\n68 \\times 8 = 544\n\\]\n\n2. Multiply 68 by 1 (the tens place of 18, which is actually 10 because of place value rules):\n\... | [
"The model output provides a detailed step-by-step calculation of 68 multiplied by 18, resulting in 1224. It correctly performs the multiplication by 8 to get 544, then multiplies 68 by 10 to get 680, adds the carry-over to get 685, and sums these to arrive at 1224. The final answer quoted is '1224', which matches ... | [
"1224",
"The output does not contain a numerical answer; it only contains a comment about the process.",
"1224",
"1224",
"724",
"1224"
] | [
"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,
false,
true
] |
What is the solution to the long multiplication equation below?
96 x 86
Think step by step. | 8256 | [
"To solve the long multiplication equation \\( 96 \\times 86 \\), we will use the standard multiplication algorithm.\n\n1. Multiply 96 by 6 (the ones place of 86):\n\\[\n96 \\times 6 = 576\n\\]\n\n2. Multiply 96 by 8 (the tens place of 86, which is actually 80 because of place value rules):\n\\[\n96 \\times 80 = 76... | [
"The model output provides a detailed step-by-step multiplication process, breaking down 96 and 86 into sums of tens and units, calculating each part, and summing them to arrive at 8256. The final answer in the output is '8256', which matches the solution provided. Therefore, the output correctly demonstrates the r... | [
"8256",
"8262",
"8256",
"",
"8256",
"9964"
] | [
"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,
false,
true,
true
] |
What is the solution to the long multiplication equation below?
26 x 30
Think step by step. | 780 | [
"To solve the multiplication equation \\( 26 \\times 30 \\):\n\n1. Multiply 26 by 30: \n\\[\n26 \\times 30 = 780\n\\]\n\nSo the solution is:\n\\boxed{780}",
"To solve the multiplication equation \\( 26 \\times 30 \\):\n\n1. Multiply 26 by 30: \n\\[\n26 \\times 30 = 780\n\\]\n\nSo the solution is:\n\\boxed{780}",
... | [
"The solution states the answer is 780, which is correct for 26 x 30. The model output, however, concludes with 960, which is incorrect. The model's reasoning includes steps that lead to 960, but this is not consistent with the initial solution provided, which is 780. Therefore, the final answer in the model output... | [
"960",
"960",
"960",
"960",
"780",
"960"
] | [
"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,
true,
false
] |
What is the solution to the long multiplication equation below?
10 x 65
Think step by step. | 650 | [
"To solve the long multiplication equation \\(10 \\times 65\\):\n\n1. Multiply 10 by 60 (the first part of 65): \n\\[\n10 \\times 60 = 600\n\\]\n\n2. Multiply 10 by 5 (the second part of 65): \n\\[\n10 \\times 5 = 50\n\\]\n\n3. Add the two results together:\n\\[\n600 + 50 = 650\n\\]\n\nSo the final answer:\n\\boxed... | [
"The solution states that 10 x 65 = 650, but the detailed step-by-step explanation concludes that the product is 6500. The model output's final answer is 6500, which matches the detailed calculation but does not match the solution's stated answer of 650. Therefore, the final answer in the output is 6500, which is c... | [
"6500",
"6500",
"6500",
"3250",
"",
""
] | [
"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?
33 x 78
Think step by step. | 2574 | [
"To solve the long multiplication equation \\( 33 \\times 78 \\), we can use the standard multiplication algorithm.\n\nLet's break it down:\n\n1. Multiply 33 by 8 (the ones place of 78):\n\\[\n33 \\times 8 = 264\n\\]\n\n2. Multiply 33 by 7 (the tens place of 78, which is actually 70 because of place value rules):\n... | [
"The output provides a detailed step-by-step breakdown of multiplying 33 by 78, including breaking down 78 into 70 and 8, multiplying each part by 33, and summing the results. The final answer given is 2574, which matches the solution provided. The reasoning is consistent and correctly follows the multiplication pr... | [
"2574",
"2574",
"2574",
"2574",
"2904",
"2574"
] | [
"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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