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 | args list |
|---|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
27 x 84
Think step by step. | 2268 | [
"Certainly! Let's solve the long multiplication problem step by step for \\(27 \\times 84\\).\n\n### Step 1: Set up the multiplication\nWrite the numbers one below the other:\n\n```\n 27\n × 84\n _______\n```\n\n### Step 2: Multiply 27 by 4\n27 × 4 = 108. Write this down as the first part of your solution.\n... | [
"The model output provides a detailed step-by-step calculation of 27 × 84, including partial products and their sum. It correctly computes 27 × 4 as 108 and 27 × 80 as 2160, then adds these to get 1036. The final answer given is 1036, which does not match the solution 2268. Therefore, the output's final answer is i... | [
"1036",
"1036",
"2268",
"1036",
"2268",
"1036"
] | [
"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
] | [
"27",
"84"
] |
What is the solution to the long multiplication equation below?
12 x 32
Think step by step. | 384 | [
"To solve the long multiplication equation \\( 12 \\times 32 \\), let's break it down step by step:\n\n1. **Multiplication of the units digit:**\n - Multiply 2 (units digit of 12) by 3 (units digit of 32).\n - \\( 2 \\times 3 = 6 \\)\n\n2. **Multiplication of the tens digit:**\n - Multiply 2 (tens digit of 12... | [
"The solution provided states that the answer to 12 x 32 is 384, which matches the given solution. However, the model output's reasoning concludes that the answer is 46, which does not match the solution. The model's reasoning contains errors in the multiplication steps, leading to an incorrect final answer.",
"T... | [
"46",
"4.6",
"64",
"384",
"464",
"2192"
] | [
"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
] | [
"12",
"32"
] |
What is the solution to the long multiplication equation below?
32 x 12
Think step by step. | 384 | [
"Step 1: Start by multiplying the number in the ones place of the top number (3) by the entire bottom number (12). \n 3 x 12 = 36\n\nStep 2: Now, multiply the next digit in the top number (2) by the entire bottom number (12).\n 2 x 12 = 24\n\nStep 3: Write down the 36 from step 1 and then add the 24 from ste... | [
"The model output concludes that the product of 32 and 12 is 60, based on adding partial products 36 and 24, which are derived from multiplying individual digits by 12. However, this approach is incorrect for long multiplication, as it misapplies the method by adding partial products directly without proper place v... | [
"60",
"60",
"384",
"384",
"Wait, how?",
"60 divided by 10"
] | [
"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,
false
] | [
"12",
"32"
] |
What is the solution to the long multiplication equation below?
53 x 65
Think step by step. | 3445 | [
"Step 1: Write down the numbers to be multiplied:\n\n * 53\n * 65\n\nStep 2: Multiply the ones digit of the second number by the first number. In this case, 5 x 3 = 15.\n * 53\n * 65\n ** 15\n\nStep 3: Multiply the tens digit of the second number by the first number. In this case, 5 x 6 = 30. Add a zero to th... | [
"The model output provides a step-by-step multiplication process and concludes with the answer 3,595. The solution given is 3445. Since 3,595 does not match 3445, the output is incorrect.",
"The output states that the solution to 53 x 65 is 3,595, which is different from the provided solution of 3,445. The output... | [
"3,595",
"3,595",
"3445",
"",
"3595",
"No numerical 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,
true,
false,
false,
false
] | [
"53",
"65"
] |
What is the solution to the long multiplication equation below?
79 x 67
Think step by step. | 5293 | [
"To solve the long multiplication of 79 and 67, follow these steps:\n\n### Step 1: Set up the multiplication\n```\n 79\n x 67\n ------\n```\n\n### Step 2: Multiply 79 by 7 (the ones digit of 67)\n```\n 79\n x 7\n ----\n 493 (79 × 7 = 553, then write 3 and carry over 4)\n```\n\n### Step 3: Multiply ... | [
"The solution provided states that the answer to 79 x 67 is 5293, but the detailed steps in the model output conclude that the answer is 4933. Since the detailed steps lead to 4933, and the solution states 5293, there is a discrepancy. The model output's reasoning and calculations indicate that the correct answer s... | [
"4933",
"5663",
"4933",
"",
"493",
"5603"
] | [
"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
] | [
"67",
"79"
] |
What is the solution to the long multiplication equation below?
12 x 18
Think step by step. | 216 | [
"To solve the long multiplication equation \\(12 \\times 18\\), follow these steps:\n\n1. Write down the numbers one below the other, aligning the digits by place value:\n \\[\n \\begin{array}{c@{}c}\n & 12 \\\\\n & 18 \\\\\n \\end{array}\n \\]\n\n2. Multiply 12 by 8:\n \\[\n 12 \\times 8 = ... | [
"The model output provides a detailed step-by-step explanation of multiplying 12 by 18, including intermediate calculations and the final sum. It concludes with the statement 'Therefore, 12 × 18 = 216,' which matches the solution provided. The reasoning aligns with the standard multiplication process and confirms t... | [
"216",
"216",
"132",
"216",
"216",
"228"
] | [
"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
] | [
"12",
"18"
] |
What is the solution to the long multiplication equation below?
19 x 69
Think step by step. | 1311 | [
"1. **Break the process into steps:**\n\n - Multiply the units digit of 19 (9) by the units digit of 69 (9).\n - Multiply the tens digit of 19 (1) by the units digit of 69 (9).\n - Multiply the units digit of 19 (9) by the tens digit of 69 (6).\n - Multiply the tens digits of 19 (1) by the tens digit of... | [
"The solution states the answer is 1311, but the model output calculates the product as 1681. The model's step-by-step calculation correctly multiplies 19 by 69, resulting in 1681, which is the correct product. Therefore, the final answer in the model output ('1681') matches the correct calculation, but it does not... | [
"1681",
"1681",
"1311",
"243",
"1681",
"1681"
] | [
"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,
true
] | [
"19",
"69"
] |
What is the solution to the long multiplication equation below?
91 x 10
Think step by step. | 910 | [
"To solve the long multiplication equation \\( 91 \\times 10 \\), let's break it down step by step:\n\n1. Identify the numbers being multiplied: \\( 91 \\) and \\( 10 \\).\n2. Multiply the tens digit of the first number (which is 9) by 10:\n - \\( 9 \\times 10 = 90 \\).\n3. Multiply the ones digit of the first nu... | [
"The solution states the answer is 910, but the model output concludes the product is 100. Since 91 multiplied by 10 equals 910, the model's calculation is incorrect. The model's reasoning incorrectly sums 90 and 10 to get 100, which is not the correct approach for multiplying 91 by 10. Therefore, the final answer ... | [
"100",
"90",
"No answer provided",
"",
"910",
"910"
] | [
"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
] | [
"10",
"91"
] |
What is the solution to the long multiplication equation below?
87 x 64
Think step by step. | 5568 | [
"To solve the long multiplication of 87 x 64, follow these steps:\n\n1. Write down the numbers one under the other, aligning the units:\n\n```\n 87\n x 64\n ----\n```\n\n2. Multiply each digit of the second number (64) by the first number (87), starting from the rightmost digit:\n\n```\n 87\n x 64\n -... | [
"The output provides a detailed step-by-step solution to the multiplication 87 x 64, including intermediate calculations and the final answer. The final answer given is '5528'. The solution states that the answer should be '5568'. Since the output's final answer ('5528') does not match the solution's answer ('5568'... | [
"5528",
"",
"5568",
"5528",
"5528",
"5528"
] | [
"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
] | [
"64",
"87"
] |
What is the solution to the long multiplication equation below?
87 x 64
Think step by step. | 5568 | [
"To solve the long multiplication of 87 x 64, follow these steps:\n\n1. Write down the numbers one under the other, aligning the units:\n\n```\n 87\n x 64\n ----\n```\n\n2. Multiply each digit of the second number (64) by the first number (87), starting from the rightmost digit:\n\n```\n 87\n x 64\n -... | [
"The output provides a detailed step-by-step long multiplication process, resulting in the final answer '5528'. The solution given is '5568'. Since the output's final answer '5528' does not match the solution '5568', the output is incorrect.",
"The model output does not provide a final answer; it only states that... | [
"5528",
"",
"5528",
"5528",
"5528",
"5528"
] | [
"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
] | [
"64",
"87"
] |
What is the solution to the long multiplication equation below?
45 x 83
Think step by step. | 3735 | [
"To solve the multiplication equation \\( 45 \\times 83 \\), we can break it down using the Distributive Property of multiplication.\n\nFirst, we'll express 83 as the sum of two simple numbers that align with the place values in the multiplication:\n\n\\[ 83 = 80 + 3 \\]\n\nNow we apply the Distributive Property:\n... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 45 x 83, breaking it down using the distributive property and calculating each part correctly. The final answer given is 3735, which matches the solution provided. Therefore, the output is correct.",
"The model output confir... | [
"3735",
"3735",
"3735",
"3735",
"",
""
] | [
"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,
false
] | [
"45",
"83"
] |
What is the solution to the long multiplication equation below?
45 x 83
Think step by step. | 3735 | [
"To solve the multiplication equation \\( 45 \\times 83 \\), we can break it down using the Distributive Property of multiplication.\n\nFirst, we'll express 83 as the sum of two simple numbers that align with the place values in the multiplication:\n\n\\[ 83 = 80 + 3 \\]\n\nNow we apply the Distributive Property:\n... | [
"The output provides a detailed step-by-step explanation of multiplying 45 by 83 using the distributive property, breaking 83 into 80 + 3, calculating each part, and summing the results. The final answer given is 3735, which matches the solution provided. Therefore, the output correctly computes the product and ali... | [
"3735",
"3735",
"3735",
"3735",
"",
""
] | [
"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,
false
] | [
"45",
"83"
] |
What is the solution to the long multiplication equation below?
84 x 99
Think step by step. | 8316 | [
"To solve the multiplication of 84 by 99, we can use the distributive property of multiplication over addition. The basic approach is to think of 99 as 100 - 1 and then adjust for the subtraction later.\n\nHere's the step-by-step breakdown:\n\n1. **Distribute the multiplications**: Break down 99 into 100 - 1.\n \... | [
"The output provides a detailed step-by-step explanation of how to compute 84 x 99 using the distributive property, resulting in 8316. It concludes with 'Thus, the solution to the long multiplication equation 84 x 99 is: 8316', which matches the solution provided. The parsed final answer is '8316'. Since the explan... | [
"8316",
"90 degree gradient",
"8316",
"",
"8316",
"67640"
] | [
"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,
false
] | [
"84",
"99"
] |
What is the solution to the long multiplication equation below?
58 x 24
Think step by step. | 1392 | [
"To solve the multiplication problem \\( 58 \\times 24 \\), we will follow these steps:\n\n1. **Write down the numbers:** \n \\[\n \\begin{array}{r}\n 58 \\\\\n \\times 24 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit of the top number by the rightmost digit of the bottom number:**\n - Mult... | [
"The model output correctly performs the multiplication of 58 by 24 step by step, multiplying 58 by 4 to get 232, then by 2 to get 116, and then adding these to get 348. The final answer provided is 348, which matches the calculation. The solution given earlier states 1392, which is incorrect, but the model output'... | [
"348",
"1392",
"The output does not contain a definitive answer to the multiplication problem.",
"No answer provided",
"",
"348"
] | [
"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
] | [
"24",
"58"
] |
What is the solution to the long multiplication equation below?
24 x 58
Think step by step. | 1392 | [
"To solve the long multiplication of 24 x 58, we multiply the numbers by column multiplication method:\n\n 24\nx 58\n-----\n 192 (24 x 8)\n+ 120 (24 x 50)\n-----\n 144 (Total)",
"Wait, how? The 24 is multiplying 58 by the tens and ones digits right? \n\nSure, let's break it down further:\n\n 24\nx 58\... | [
"The model output provides a step-by-step multiplication process, calculating 24 x 8 as 192 and 24 x 50 as 120, then summing these to get 144. The final answer given is 144, which does not match the solution 1392. Therefore, the model's final answer is incorrect.",
"The model's output attempts to perform the mult... | [
"144",
"144",
"144",
"144",
"144",
"144"
] | [
"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
] | [
"24",
"58"
] |
What is the solution to the long multiplication equation below?
36 x 24
Think step by step. | 864 | [
"To solve the multiplication equation \\( 36 \\times 24 \\), we can break it down into more manageable steps.\n\n### Step 1: Break down 36\nWe can decompose 36 into \\( 30 + 6 \\).\n\n### Step 2: Multiply each part by 24\n- Multiplying \\( 30 \\times 24 \\):\n \\[\n 30 \\times 24 = (3 \\times 10) \\times 24 = 3 \... | [
"The model output provides a detailed step-by-step calculation for multiplying 36 by 24, breaking it down into parts and summing the partial products. The final answer given is 840, which is derived from adding 720 and 120. The solution states that the correct answer is 864, so the model's final answer does not mat... | [
"840",
"864",
"840",
"840",
"864",
"734"
] | [
"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,
false
] | [
"24",
"36"
] |
What is the solution to the long multiplication equation below?
55 x 99
Think step by step. | 5445 | [
"To solve the long multiplication of 55 by 99, we can follow these steps:\n\nStep 1: Write down the numbers vertically.\n 55\nx 99\n------- draw a line under the numbers\n\nStep 2: Multiply 55 by 9 (the rightmost digit of 99).\n 55\nx 99\n-------\n 55 (55 x 9)\n495 (55 x 90)\n\nStep 3: Write down the second res... | [
"The model output provides a detailed step-by-step calculation, ultimately arriving at the final answer '5495'. The solution given is '5445'. Since the model's final answer does not match the solution, the output is incorrect.",
"The model output does not provide a direct answer to the multiplication problem 55 x... | [
"5495",
"5445",
"5495",
"5495",
"5495",
"5445"
] | [
"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,
true
] | [
"55",
"99"
] |
What is the solution to the long multiplication equation below?
75 x 83
Think step by step. | 6225 | [
"To solve the long multiplication equation 75 x 83, we can follow these steps:\n\n1. Multiply the units digit of the first number by the units digit of the second number:\n 5 x 3 = 15\n We write down the 5 and carry over the 1.\n\n2. Multiply the tens digit of the first number by the units digit of the second n... | [
"The model output provides a detailed step-by-step calculation of 75 x 83, but the final answer given is 6025. The solution states that the correct answer is 6225. Since 6025 does not match the solution's answer of 6225, the output is incorrect.",
"The model output does not provide a direct answer to the multipli... | [
"6025",
"The output does not contain a numerical answer to the multiplication problem.",
"6025",
"6025",
"6225",
"否"
] | [
"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
] | [
"75",
"83"
] |
What is the solution to the long multiplication equation below?
78 x 49
Think step by step. | 3822 | [
"To solve the long multiplication \\( 78 \\times 49 \\), we need to multiply each digit of 78 by each digit of 49, then add the results together. Let's break it down step by step:\n\n1. **Multiply 78 by 9 (the units digit of 49):**\n \\[\n 78 \\times 9 = 702\n \\]\n\n2. **Multiply 78 by 40 (the tens digit of ... | [
"The model output correctly performs the long multiplication step by step: multiplying 78 by 9 to get 702, then multiplying 78 by 40 to get 3120, and summing these to get 3822. The final answer quoted is '3822', which matches the solution provided. Therefore, the output is correct.",
"The model output provides a ... | [
"3822",
"3822",
"3822",
"3822",
"3822",
"3822"
] | [
"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
] | [
"49",
"78"
] |
What is the solution to the long multiplication equation below?
49 x 78
Think step by step. | 3822 | [
"To solve the long multiplication equation 49 x 78, follow these steps:\n\n1. Multiply the units digit of the first number (9) by the units digit of the second number (8):\n 9 x 8 = 72\n Write 2 in the units place of the result, and carry over 7.\n\n2. Next, multiply the tens digit of the first number (4) by th... | [
"The model output provides a detailed step-by-step process for multiplying 49 by 78, but the final answer given is 3792. The solution states that the correct answer is 3822. Since 3792 does not match the solution's answer of 3822, the output is incorrect.",
"The model output does not clearly state the final answe... | [
"3792",
"2822",
"3792",
"3822",
"3792",
"3792"
] | [
"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
] | [
"49",
"78"
] |
What is the solution to the long multiplication equation below?
48 x 85
Think step by step. | 4080 | [
"To solve the long multiplication equation \\(48 \\times 85\\), follow these steps:\n\n1. **Set up the multiplication:** Write the numbers vertically, aligning the digits by place value.\n\n \\[\n \\begin{array}{r}\n 48 \\\\\n \\times 85 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply 48 by 5 (th... | [
"The model output provides a detailed step-by-step process for multiplying 48 by 85, including intermediate calculations and the final addition. It concludes that the product is 548. The solution given is 4080, which does not match the model's final answer. Therefore, the model's final answer is incorrect with resp... | [
"548",
"548",
"",
"5480",
"548",
"628"
] | [
"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
] | [
"48",
"85"
] |
What is the solution to the long multiplication equation below?
71 x 81
Think step by step. | 5751 | [
"To solve the long multiplication equation \\(71 \\times 81\\), we can break it down into simpler steps by following these steps:\n\n### Step 1: Write the numbers expanded form\nThe numbers \\(71\\) and \\(81\\) can be written as:\n\\[ 71 = 70 + 1 \\]\n\\[ 81 = 80 + 1 \\]\n\n### Step 2: Multiply each part of the fi... | [
"The output states that the solution to 71 x 81 is 6551, which matches the calculation performed in the step-by-step explanation. The explanation correctly breaks down the multiplication and sums the partial products to arrive at 6551.",
"The model output states that the most common correct answer is 5681, but th... | [
"6551",
"5681",
"5651",
"",
"5751",
"6551"
] | [
"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,
true,
false
] | [
"71",
"81"
] |
What is the solution to the long multiplication equation below?
10 x 82
Think step by step. | 820 | [
"To solve the long multiplication equation \\(10 \\times 82\\), we can break it down into simpler steps:\n\n1. **Understand the problem**: We need to multiply 10 by 82. This is similar to simply multiplying the digits without any carrying, since the 10 is merely 1 with a trailing zero.\n\n2. **Column multiplication... | [
"The model output concludes that 10 multiplied by 82 equals 820, which matches the provided solution. The reasoning in the output correctly explains that multiplying by 10 shifts the digits, leading to the final answer of 820.",
"The model output includes a calculation that multiplies 10 by 82 and shows the resul... | [
"820",
"820",
"820",
"820",
"820",
"820"
] | [
"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
] | [
"10",
"82"
] |
What is the solution to the long multiplication equation below?
70 x 31
Think step by step. | 2170 | [
"Step 1: \nFirst, ignore the decimal points and multiply the numbers as if they were whole numbers. Multiply 70 by 31.\n\n```\n 70 × 31\n ------\n 210 (70 × 1)\n 2100 (70 × 30)\n ------\n 2170 (Sum)\n```\n\nStep 2:\nNow, count the total number of digits to the right of the decimal point in the original num... | [
"The solution states that 70 multiplied by 31 equals 2170, which is correct. The model output, however, concludes with an answer of 217, which is incorrect. The reasoning in the output is inconsistent and contains errors, such as mentioning decimal points where there are none, and the final answer does not match th... | [
"217",
"2170",
"217",
"217",
"217.0",
""
] | [
"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
] | [
"31",
"70"
] |
What is the solution to the long multiplication equation below?
31 x 70
Think step by step. | 2170 | [
"To solve \\(31 \\times 70\\), you can follow these steps:\n\n1. **Break it into smaller parts**:division by 10 makes calculation easier. So we can think of this as \\(31 \\times 7 \\times 10\\).\n\n2. **Multiply 31 by 7**:\n - Break it down further for easier calculation: \\(30 \\times 7 = 210\\) and \\(1 \\tim... | [
"The model output correctly computes the multiplication step-by-step, breaking down 31 x 70 into 31 x 7 x 10, calculating 31 x 7 as 217, and then multiplying by 10 to get 2170. The final answer quoted is '2170', which matches the solution provided.",
"The output contains a lengthy, repetitive, and incoherent text... | [
"2170",
"2170",
"2170",
"2170",
"",
""
] | [
"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,
false
] | [
"31",
"70"
] |
What is the solution to the long multiplication equation below?
30 x 19
Think step by step. | 570 | [
"To solve the multiplication equation \\(30 \\times 19\\), follow these steps:\n\n1. **Write the numbers in a vertical format**: Helps align the place values.\n\\[ \n\\begin{array}{c@{}c}\n & 19 \\\\\n\\times & 30 \\\\\n\\end{array}\n\\]\n\n2. **Multiply 19 by the units digit of 30**: which is 0.\n\\[ \n\\begin{arr... | [
"The model output provides a detailed step-by-step explanation of multiplying 19 by 30, including partial products and their combination, ultimately arriving at 570. The final answer quoted is '570', which matches the solution provided. The reasoning aligns with standard multiplication procedures, and the final ans... | [
"570",
"570",
"570",
"570",
"57",
"570"
] | [
"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
] | [
"19",
"30"
] |
What is the solution to the long multiplication equation below?
87 x 20
Think step by step. | 1740 | [
"To solve the multiplication problem 87 x 20, we can follow these steps:\n\n1. **Understand the problem**: We need to multiply the two-digit number 87 by 20.\n\n2. **Break down the multiplication**:\n - Any number multiplied by 20 can be thought of as that number multiplied by 2 and then by 10.\n - So, we can u... | [
"The model output correctly follows the steps to multiply 87 by 20: it first multiplies 87 by 2 to get 174, then multiplies 174 by 10 to get 1740. The final answer provided is 1740, which matches the solution given. Therefore, the output is correct.",
"The model output calculates 87 x 20 by multiplying 87 by 2 to... | [
"1740",
"1044",
"1740",
"1740",
"17400",
"1740"
] | [
"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
] | [
"20",
"87"
] |
What is the solution to the long multiplication equation below?
78 x 83
Think step by step. | 6474 | [
"To solve the long multiplication equation $78 \\times 83$, we take it step by step.\n\nFirst, we write out the multiplication:\n\n$$\n\\begin{array}{r}\n 78 \\\\\n \\times 83 \\\\\n \\hline\n 234 & (78 \\times 3) \\\\\n 6240 & (78 \\times 80) \\\\\n\\hline\n 6234 & \\text{Answer: } 6234\n\\e... | [
"The output states the final answer as '6234' and provides a detailed calculation that confirms this result. The solution given is '6474', which does not match the output's final answer. Since the output's final answer is '6234', and the solution is '6474', they do not agree. Therefore, the output's correctness dep... | [
"6234",
"6234",
"6474",
"",
"6474",
"6474"
] | [
"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,
true
] | [
"78",
"83"
] |
What is the solution to the long multiplication equation below?
95 x 40
Think step by step. | 3800 | [
"To solve the long multiplication of \\( 95 \\times 40 \\) step by step:\n\n1. **Multiply 95 by 0:** \n \\( 95 \\times 0 = 0 \\)\n\n2. **Multiply 95 by 40:** \n picture thumbnail describing the multiplication process would be helpful here, but since it's not provided, describing the processatically it involve... | [
"The model output describes the multiplication process step by step, ultimately concluding that 95 multiplied by 40 equals 3800. The solution provided is 3800, which matches the final answer in the output. The reasoning aligns with standard multiplication procedures, and the final answer matches the solution.",
"... | [
"3800",
"3800",
"560",
"3800",
"3800",
"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,
false,
true,
true,
true
] | [
"40",
"95"
] |
What is the solution to the long multiplication equation below?
67 x 41
Think step by step. | 2747 | [
"Sure, let's break down the long multiplication step by step for \\(67 \\times 41\\).\n\n### Step 1: Set up the multiplication\n\\[\n\\begin{array}{r}\n 67 \\\\\n\\times 41 \\\\\n\\hline\n\\end{array}\n\\]\n\n### Step 2: Multiply 67 by 1 (the units digit of 41)\n\\[\n67 \\times 1 = 67\n\\]\nWrite down 7 and carry ... | [
"The model output provides a detailed step-by-step calculation of 67 multiplied by 41, ending with the conclusion that the product is 2747. The solution given is 2747, which matches the final answer in the model output. The reasoning in the output correctly performs the multiplication and arrives at the correct res... | [
"2747",
"2747",
"No final answer provided.",
"",
"2747",
""
] | [
"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,
false,
true,
false
] | [
"41",
"67"
] |
What is the solution to the long multiplication equation below?
41 x 67
Think step by step. | 2747 | [
"\\boxed{2547}",
"But to confirm, let's do the multiplication step by step:\n\n1) First, multiply the units digits: 7 x 1 = 7\n2) Next, multiply the tens place of the first number with the units place of the second number: 4 x 7 = 28\n Add the7 from step 1 gives us 287\n3) Finally, multiply the tens place of th... | [
"The model output provides the answer '2547', but the solution states the correct answer is '2747'. Since the model's answer does not match the solution, it is incorrect.",
"The model output provides a detailed step-by-step multiplication process, ending with the final answer '2547'. The solution given is '2747'.... | [
"2547",
"2547",
"2547",
"No explicit final answer is provided in the output.",
"2547",
"2547"
] | [
"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
] | [
"41",
"67"
] |
What is the solution to the long multiplication equation below?
11 x 99
Think step by step. | 1089 | [
"To solve the long multiplication equation 11 x 99, we can break it down into simpler steps.\n\nStep 1: Break down 99 into 100 - 1.\n11 x (100 - 1)\n\nStep 2: Distribute the 11 to both the terms in the parentheses.\n11 x 100 - 11 x 1\n\nStep 3: Calculate 11 x 100 and 11 x 1.\n11 x 100 = 1100\n11 x 1 = 11\n\nStep 4:... | [
"The model output correctly solves the multiplication 11 x 99 by breaking it down into steps, distributing, calculating, and subtracting, resulting in 1089. The final answer quoted in the output is '1089', which matches the solution provided. Therefore, the final answer is correct.",
"The model output states, 'So... | [
"1089",
"1089",
"1089",
"999",
"1089",
"1089"
] | [
"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,
true
] | [
"11",
"99"
] |
What is the solution to the long multiplication equation below?
36 x 93
Think step by step. | 3348 | [
"To solve the long multiplication of \\(36 \\times 93\\), we can break it down into simple steps. \n\n### Step 1: Multiply 36 by 9\n- First, we calculate \\(36 \\times 9\\):\n \\[\n 36 \\times 9 = 324\n \\]\n\n### Step 2: Multiply 36 by 3 (thinking in tens)\n- Now, we calculate \\(36 \\times 3\\):\n \\[\n 36 \... | [
"The solution provided in the solution section is 3348, but the model output calculates the product as 1404. Since the question asks for the solution to 36 x 93, the correct answer should be 3348, matching the solution. The model output's final answer is 1404, which does not match the solution, indicating an incons... | [
"1404",
"3348",
"3348",
"1404",
"1407.2",
"2592"
] | [
"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
] | [
"36",
"93"
] |
What is the solution to the long multiplication equation below?
41 x 69
Think step by step. | 2829 | [
"To solve the long multiplication equation \\(41 \\times 69\\), follow these steps:\n\n1. **Write the numbers in a column format**: \n\n```\n 41\n x 69\n```\n\n2. **Multiply each digit of the second number by the first digit of the first number**:\n\n - Multiply 41 by 9:\n \\[\n 41 \\times 9 = 369\n... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 41 x 69, concluding with the answer 618. The solution section states the answer as 2829, which is inconsistent with the model's final answer of 618. Since the question asks for the solution to 41 x 69, the correct answer shoul... | [
"618",
"618",
"618",
"2829",
"2838",
"618"
] | [
"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
] | [
"41",
"69"
] |
What is the solution to the long multiplication equation below?
97 x 89
Think step by step. | 8633 | [
"To solve the long multiplication equation \\(97 \\times 89\\), follow these steps:\n\nStep 1: Write the numbers one under the other.\n\\[\n\\begin{array}{c@{}c@{}c}\n& 97 \\\\\n& 89 \\\\\n\\end{array}\n\\]\n\nStep 2: Multiply the number in the second row by each digit in the first number.\n\\[\n\\begin{array}{c@{}... | [
"The model output attempts to perform long multiplication step by step, but the steps are inconsistent and contain errors. It first calculates 97 x 9 as 733, which is incorrect since 97 x 9 = 873. Then, it mentions multiplying 97 by 8 as 776, which is also incorrect since 97 x 8 = 776, but the previous step's error... | [
"8273",
"8273",
"8273",
"8273",
"8273",
"8273"
] | [
"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
] | [
"89",
"97"
] |
What is the solution to the long multiplication equation below?
89 x 97
Think step by step. | 8633 | [
"To solve the multiplication problem \\(89 \\times 97\\), we will perform the multiplication step-by-step following the standard algorithm for multi-digit multiplication. Let's break it down:\n\n1. **Write the numbers one below the other:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 89 \\\\\n \\times & 97 \\\\... | [
"The model output provides a detailed step-by-step multiplication process, ultimately concluding with the answer 8553. The solution given is 8633, which does not match the model's final answer. Since the model's reasoning and calculation lead to 8553, and this does not match the provided solution, the output is inc... | [
"8553",
"8553",
"100",
"8553",
"8553",
"8553"
] | [
"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
] | [
"89",
"97"
] |
What is the solution to the long multiplication equation below?
21 x 95
Think step by step. | 1995 | [
"To solve \\(21 \\times 95\\) using long multiplication, follow these steps:\n\n1. Break down the problem into smaller parts by using the distributive property of multiplication over addition:\n \\[\n 21 \\times 95 = 21 \\times (100 - 5)\n \\]\n\n2. Distribute the multiplication over the subtraction:\n \\[\... | [
"The model output correctly performs the long multiplication of 21 and 95 by using the distributive property: 21 x (100 - 5) = 21 x 100 - 21 x 5 = 2100 - 105 = 1995. It explicitly states each step and arrives at the final answer of 1995, which matches the solution provided.",
"The model output does not provide a ... | [
"1995",
"",
"1995",
"1995",
"1995",
"1045"
] | [
"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,
false
] | [
"21",
"95"
] |
What is the solution to the long multiplication equation below?
69 x 47
Think step by step. | 3243 | [
"To solve the long multiplication equation \\( 69 \\times 47 \\) step by step, follow these steps:\n\n1. **Set up the problem**: Write the numbers side by side, aligning them properly:\n\n \\[\n \\begin{array}{r}\n \\phantom{00} 69 \\\\\n \\times 47 \\\\\n \\end{array}\n \\]\n\n2. **Multiply by ... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, including intermediate calculations and the final answer. The final answer given in the output is '3343'. The solution provided earlier states the answer as '3243'. Since these two answers differ, the model output's final ans... | [
"3343",
"3343",
"593",
"3343",
"3343",
"3343"
] | [
"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
] | [
"47",
"69"
] |
What is the solution to the long multiplication equation below?
69 x 47
Think step by step. | 3243 | [
"To solve the long multiplication equation \\( 69 \\times 47 \\) step by step, follow these steps:\n\n1. **Set up the problem**: Write the numbers side by side, aligning them properly:\n\n \\[\n \\begin{array}{r}\n \\phantom{00} 69 \\\\\n \\times 47 \\\\\n \\end{array}\n \\]\n\n2. **Multiply by ... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 69 x 47, including intermediate calculations and the final answer. The final answer given in the output is 3343, which is explicitly stated as the solution to the problem.",
"The output provides a detailed step-by-step proce... | [
"3343",
"3343",
"593",
"3343",
"3243",
"3343"
] | [
"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,
false,
false,
false
] | [
"47",
"69"
] |
What is the solution to the long multiplication equation below?
69 x 47
Think step by step. | 3243 | [
"To solve the long multiplication equation \\( 69 \\times 47 \\) step by step, follow these steps:\n\n1. **Set up the problem**: Write the numbers side by side, aligning them properly:\n\n \\[\n \\begin{array}{r}\n \\phantom{00} 69 \\\\\n \\times 47 \\\\\n \\end{array}\n \\]\n\n2. **Multiply by ... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, including the intermediate calculations and the final answer. It correctly performs the multiplication and arrives at the result 3343. The solution matches the standard long multiplication process and the final answer is expl... | [
"3343",
"3343",
"593",
"3343",
"3343",
"3343"
] | [
"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
] | [
"47",
"69"
] |
What is the solution to the long multiplication equation below?
49 x 49
Think step by step. | 2401 | [
"Let's solve the multiplication problem \\(49 \\times 49\\) step by step.\n\n1. Write down the multiplication:\n \\[ \\underbrace{(49 \\times 49)}_{\\text{Result}} \\]\n\n2. First, multiply 49 by 9:\n \\[ 49 \\times 9 = 441 \\]\n\n3. Then, multiply 49 by 4 (where the 4 represents the tens place):\n \\[ 49 \\t... | [
"The output provides a step-by-step multiplication process, concluding with the boxed answer 637. The solution states that 49 multiplied by 49 equals 2401, which is the correct answer. The output's final answer (637) does not match the solution's answer (2401). Therefore, the output is incorrect.",
"The model out... | [
"637",
"637",
"637",
"637",
"637",
"637"
] | [
"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
] | [
"49",
"49"
] |
What is the solution to the long multiplication equation below?
22 x 68
Think step by step. | 1496 | [
"To solve the long multiplication equation \\(22 \\times 68\\), you can follow these steps:\n\n1. Set up the problem vertically, aligning the digits and placing the answer in columns.\n\n\\[\n\\begin{array}{r}\n 22 \\\\\n\\times 68 \\\\\n\\hline\n\\end{array}\n\\]\n\n2. Multiply 22 by 8 (the units digit of 68):... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 22 x 68, including partial products and their addition, resulting in 1496. The solution matches the provided answer in the solution section, which is 1496. The reasoning in the output aligns with standard multiplication proced... | [
"1496",
"1506",
"(No final answer provided)",
"No numerical answer provided",
"1496",
"1496"
] | [
"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,
true,
true
] | [
"22",
"68"
] |
What is the solution to the long multiplication equation below?
68 x 22
Think step by step. | 1496 | [
"To solve the long multiplication equation \\( 68 \\times 22 \\), we can use the standard multiplication algorithm. We'll multiply each digit of 68 by each digit of 22, then add the results together. Let's break it down step by step:\n\n1. **Multiply 68 by 2:**\n \\[\n 68 \\times 2 = 136\n \\]\n\n2. **Multipl... | [
"The model output provides a detailed step-by-step calculation of 68 multiplied by 22, resulting in 1496. The solution given is 1496, and the model's calculation confirms this result. Therefore, the final answer in the output matches the solution provided.",
"The model output confirms the solution as 1496, matchi... | [
"1496",
"1496",
"The output does not contain a numerical answer.",
"1496",
"1496",
"1496"
] | [
"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
] | [
"22",
"68"
] |
What is the solution to the long multiplication equation below?
83 x 92
Think step by step. | 7636 | [
"To solve the long multiplication of 83 and 92, we follow these steps:\n\n1. **Multiply the ones place:**\n \\[\n 3 \\times 2 = 6\n \\]\n Write down 6.\n\n2. **Multiply the tens place in 83 by the ones place in 92:**\n \\[\n 8 \\times 2 = 16\n \\]\n Write down 16, but carry over the 1 to the next co... | [
"The model output provides a detailed step-by-step process for multiplying 83 by 92, but the final computed product is 689, which does not match the solution given as 7636. The solution indicates the correct answer should be 7636, but the model's calculation results in 689, which is incorrect.",
"The model output... | [
"689",
"689",
"689",
"Hold on, let me verify this answer.",
"6,896",
"No 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 ... | [
false,
false,
false,
false,
false,
false
] | [
"83",
"92"
] |
What is the solution to the long multiplication equation below?
92 x 83
Think step by step. | 7636 | [
"To solve the long multiplication of 92 and 83, follow these steps:\n\n### Step 1: Set up the multiplication\n```\n 92\n × 83\n ----\n```\n\n### Step 2: Multiply 92 by 3 (the ones digit of 83)\n```\n 92\n × 3\n ----\n 276 (92 × 3 = 276)\n```\n\n### Step 3: Multiply 92 by 8 (the tens digit of 83)\n```... | [
"The output provides a detailed step-by-step calculation of 92 multiplied by 83, resulting in 7540, and concludes with the final answer 'The solution to the long multiplication equation 92 x 83 is **7540**.' The solution given is 7636, which does not match the output's final answer. Therefore, the output's final an... | [
"7540",
"7640",
"7526",
"7540",
"No numerical answer provided",
"7540"
] | [
"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
] | [
"83",
"92"
] |
What is the solution to the long multiplication equation below?
60 x 45
Think step by step. | 2700 | [
"To find the solution to the long multiplication equation \\( 60 \\times 45 \\), we can break it down into smaller steps.\n\n1. **Multiply 60 by 5 (the units digit of 45):**\n \\[\n 60 \\times 5 = 300\n \\]\n\n2. **Multiply 60 by 40 (the tens digit of 45, which is 4 multiplied by 10):**\n \\[\n 60 \\times... | [
"The output provides a detailed step-by-step calculation of 60 multiplied by 45, breaking it into 60 x 5 and 60 x 40, then summing the results to get 2700. The final answer quoted is '2700', which matches the solution provided. Therefore, the output correctly computes and states the solution.",
"The solution stat... | [
"2700",
"2700",
"27000",
"270",
"2700",
"2700"
] | [
"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,
false,
true,
true
] | [
"45",
"60"
] |
What is the solution to the long multiplication equation below?
39 x 93
Think step by step. | 3627 | [
"To solve the multiplication problem \\(39 \\times 93\\), first break down the problem into smaller steps. We can use the distributive property of multiplication over addition to make it easier:\n\n\\[39 \\times 93 = 39 \\times (90 + 3) = (39 \\times 90) + (39 \\times 3)\\]\n\nNow calculate each part separately:\n\... | [
"The model output provides a detailed step-by-step calculation of 39 x 93, breaking it down using the distributive property, and concludes with the answer 3627. The solution given is 3627, which matches the final answer in the model output. Therefore, the model's final answer is correct and aligns with the solution... | [
"3627",
"Wait, how?",
"3627",
"3627",
"3627",
""
] | [
"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,
false
] | [
"39",
"93"
] |
What is the solution to the long multiplication equation below?
39 x 93
Think step by step. | 3627 | [
"To solve the multiplication problem \\(39 \\times 93\\), first break down the problem into smaller steps. We can use the distributive property of multiplication over addition to make it easier:\n\n\\[39 \\times 93 = 39 \\times (90 + 3) = (39 \\times 90) + (39 \\times 3)\\]\n\nNow calculate each part separately:\n\... | [
"The model output states the final answer as '3627' and provides a detailed step-by-step calculation that confirms this result. The calculation correctly applies the distributive property: 39 x 93 = 39 x (90 + 3) = (39 x 90) + (39 x 3) = 3510 + 117 = 3627. The final answer matches the solution provided, and the rea... | [
"3627",
"Wait, how?",
"3627",
"3627",
"3627",
"(no numerical 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,
false,
true,
true,
true,
false
] | [
"39",
"93"
] |
What is the solution to the long multiplication equation below?
81 x 94
Think step by step. | 7614 | [
"To solve the long multiplication problem \\( 81 \\times 94 \\), we can break it down step by step and understand it as \\( 81 \\times 90 + 81 \\times 4 \\).\n\n1. **Multiply 81 by 90**:\n \\[\n 81 \\times 90 = 81 \\times (9 \\times 10) = (81 \\times 9) \\times 10\n \\]\n Calculate \\( 81 \\times 9 \\):\n ... | [
"The model output correctly computes the multiplication step by step, breaking down 81 x 94 into 81 x 90 + 81 x 4, calculating each part accurately, and summing to get 7614. The final answer in the output is '7614', which matches the solution provided. Therefore, the output is correct.",
"The output states 'the s... | [
"7614",
"7614",
"7614",
"7614",
"7614",
"7614"
] | [
"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
] | [
"81",
"94"
] |
What is the solution to the long multiplication equation below?
94 x 81
Think step by step. | 7614 | [
"\\boxed{7594}",
"Wait, let me try to break this down step by step:\n\n1) Start with 94 x 1 (as you always do with multiplication): \n94 x 1 = 94\n\n2) Now add a zero to the last number above and multiply 94 x 10: \n94 x 10 = 940\n\n3) Add together these two results: \n94 + 940 = 1034\n\n Something seems off b... | [
"The model output provides the answer '7594', which needs to be compared to the solution '7614'. Since the solution is '7614', and the model output is '7594', they do not match. Therefore, the model's answer is incorrect.",
"The model output concludes with 'So the correct answer is: 7614', which matches the solut... | [
"7594",
"7614",
"7593",
"11.5185",
"7614",
"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,
true,
false,
false,
true,
false
] | [
"81",
"94"
] |
What is the solution to the long multiplication equation below?
88 x 93
Think step by step. | 8184 | [
"To solve the multiplication problem 88 x 93, follow these steps:\n\n1. Write the numbers one under the other, aligning the digits for multiplication:\n ```\n 88\n x 93\n ----\n ```\n\n2. Multiply the rightmost digit of the bottom number (3) by the top number (88):\n ```\n 88\n x 93\n ----\n 264\n ... | [
"The model output provides a detailed step-by-step multiplication process, ultimately concluding that 88 x 93 equals 81840. The solution given is 8184, which does not match the final answer in the model output. The model's reasoning and calculations are correct, but the final answer it states (81840) is inconsisten... | [
"81840",
"8184",
"No answer provided",
"81840",
"26400",
"81440"
] | [
"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,
true
] | [
"88",
"93"
] |
What is the solution to the long multiplication equation below?
89 x 60
Think step by step. | 5340 | [
"To solve the long multiplication equation \\( 89 \\times 60 \\), follow these steps:\n\n**Step 1: Understand the problem**\n - We need to multiply 89 by 60.\n\n**Step 2: Break down the multiplication**\n - 60 can be broken down further: \\( 60 = 6 \\times 10 \\).\n - So, \\( 89 \\times 60 = 89 \\times (6 \\t... | [
"The model output provides a detailed step-by-step explanation of multiplying 89 by 60, including breaking down 60 into 6 and 10, multiplying 89 by 6 to get 534, and then multiplying by 10 to arrive at 5340. The final answer quoted is '5340', which matches the solution provided. Therefore, the output correctly comp... | [
"5340",
"5340",
"5340",
"The output does not contain a numerical answer; it discusses confusion and does not state '5340'.",
"5340",
"5340"
] | [
"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,
true
] | [
"60",
"89"
] |
What is the solution to the long multiplication equation below?
60 x 89
Think step by step. | 5340 | [
"To solve the multiplication problem \\(60 \\times 89\\), you can break it down into simpler steps by considering 60 as 50 + 10 and 89 as 80 + 9.\n\n### Step-by-Step Solution:\n\n1. **Break down the multiplication into simpler parts:**\n - \\(60 \\times 89 = 60 \\times (80 + 9) = (60 \\times 80) + (60 \\times 9)\... | [
"The model output provides a detailed step-by-step breakdown of multiplying 60 by 89, correctly applying the distributive property: 60 x (80 + 9) = (60 x 80) + (60 x 9) = 4800 + 540 = 5340. The final answer quoted is '5340', which matches the solution provided. Therefore, the output correctly solves the problem and... | [
"5340",
"1335",
"5340",
"5340",
"5340",
"5340"
] | [
"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
] | [
"60",
"89"
] |
What is the solution to the long multiplication equation below?
74 x 51
Think step by step. | 3774 | [
"To solve the long multiplication equation \\(74 \\times 51\\), we'll use the standard algorithm of long multiplication. Let's break it down step by step:\n\n1. **Set up the multiplication:**\n We'll write 74 outside a rectangle and 51 inside the rectangle.\n\n2. **Multiply 51 by 4:**\n \\[\n 51 \\times 4 = 2... | [
"The model output concludes that the product of 74 and 51 is 3774, which matches the solution provided. The reasoning in the output correctly performs the multiplication step by step, confirming the correctness of the final answer.",
"The model output states that the solution is 3774, which matches the provided s... | [
"3774",
"3774",
"3774",
"",
"5614",
"377"
] | [
"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,
false
] | [
"51",
"74"
] |
What is the solution to the long multiplication equation below?
79 x 94
Think step by step. | 7426 | [
"To solve the long multiplication equation 79 x 94, we follow these steps:\n\n1. Multiply the ones digit of the bottom number (4) by the top number (79).\n 4 x 9 = 36\n 4 x 7 = 28\n 36 + 28 = 64\n So the top right corner is 64.\n\n2. Multiply the next digit of the bottom number (9) by the top number (79) an... | [
"The output provides a detailed step-by-step calculation of 79 x 94, resulting in 7124. The solution given is 7426, which does not match the output's final answer. Therefore, the output's final answer is incorrect with respect to the solution.",
"The model output states that the answer is 7124, and it provides a ... | [
"7124",
"7124",
"7124",
"7124",
"7124",
"7666"
] | [
"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
] | [
"79",
"94"
] |
What is the solution to the long multiplication equation below?
96 x 19
Think step by step. | 1824 | [
"To solve the long multiplication problem of \\( 96 \\times 19 \\) step by step, follow these steps:\n\n1. Multiply 96 by the units digit of 19 which is 9.\n \\[\n 96 \\times 9 = 864\n \\]\n\n2. Multiply 96 by the tens digit of 19 which is 1, and remember to shift the result one place to the left.\n \\[... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 96 x 19, culminating in the final answer '1824'. The solution given in the prompt is also '1824'. Since the model's final answer matches the provided solution, and the steps are correct, the output is correct.",
"The model o... | [
"1824",
"1824",
"",
"1824",
"",
"1824"
] | [
"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
] | [
"19",
"96"
] |
What is the solution to the long multiplication equation below?
96 x 10
Think step by step. | 960 | [
"To solve the long multiplication problem \\( 96 \\times 10 \\), follow these steps:\n\n1. **Write down the numbers**: \n \\[\n \\begin{array}{r}\n 96 \\\\\n \\times 10 \\\\\n \\end{array}\n \\]\n\n2. **Multiply the number by the digit in the tens place of the multiplier**: \n - In this case, \\( 96 \... | [
"The model output concludes that the solution to 96 x 10 is 960, which matches the provided solution. The reasoning steps provided in the output correctly describe the multiplication process, confirming the correctness of the final answer.",
"The model output states, 'So, the final answer is indeed \\(960\\).' an... | [
"960",
"960",
"960",
"960",
"",
"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 ... | [
true,
true,
true,
true,
false,
true
] | [
"10",
"96"
] |
What is the solution to the long multiplication equation below?
42 x 33
Think step by step. | 1386 | [
"To solve the long multiplication problem 42 x 33, follow these steps:\n\n1. Write the numbers one under the other, aligning the digits for multiplication:\n ```\n 42\n x 33\n ```\n\n2. Multiply 42 by 3 (the ones digit of 33):\n ```\n 42\n x 3\n ----\n 126\n ```\n\n3. Multiply 42 by 30 (... | [
"The solution provided in the solution section is 1386, but the model output concludes the answer is 1536. The model's reasoning steps lead to 1536, which does not match the solution's answer. Therefore, the final answer in the model output is 1536, which is incorrect according to the solution.",
"The model outpu... | [
"1536",
"1536",
"1536",
"1536",
"1386",
"1536"
] | [
"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
] | [
"33",
"42"
] |
What is the solution to the long multiplication equation below?
39 x 33
Think step by step. | 1287 | [
"Let's solve this step by step:\n\n1) First, we multiply the ones digit of 39 (which is 9) by the ones digit of 33 (which is 3):\n 9 × 3 = 27\n We write down 7 and carry over 2.\n\n2) Next, we multiply the tens digit of 39 (which is 3) by the ones digit of 33 (which is 3), and then add the carried over 2:\n (... | [
"The model's output attempts to perform long multiplication step by step, but the calculations and the final summation are inconsistent. It computes partial products as 117, 1170, and 909, then sums them to get 1247. However, these partial products do not align correctly with the standard long multiplication proces... | [
"1247",
"1247",
"1277",
"",
"1277",
"1247"
] | [
"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
] | [
"33",
"39"
] |
What is the solution to the long multiplication equation below?
71 x 39
Think step by step. | 2769 | [
"To solve the multiplication equation \\( 71 \\times 39 \\), we'll follow these steps:\n\n1. **Break the calculation into smaller parts:**\n\n Instead of multiplying directly, we'll compute \\( 71 \\times 39 \\) by breaking it down into \\( 71 \\times (40 - 1) \\).\n\n2. **Distribute the multiplication:**\n\n U... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, including breaking down the calculation using distributive property, calculating each part, and verifying the result. The final answer given is '2769', which matches the solution provided. The reasoning is consistent and corr... | [
"2769",
"2769",
"2769",
"2819",
"",
"2769"
] | [
"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
] | [
"39",
"71"
] |
What is the solution to the long multiplication equation below?
92 x 19
Think step by step. | 1748 | [
"To solve the multiplication equation \\(92 \\times 19\\), we can break it down into simpler steps using the distributive property of multiplication over addition.\n\n1. First, split 19 into two parts: 10 and 9.\n2. Then, multiply each part of 19 by 92 separately:\n - \\(92 \\times 10 = 920\\) (because any number... | [
"The model output correctly explains the step-by-step process of multiplying 92 by 19 using the distributive property, and concludes that the answer is 1748. The solution provided is 1748, which matches the final answer in the model output.",
"The model output provides a step-by-step manual multiplication process... | [
"1748",
"1748",
"1748",
"1748",
"1748",
"1748"
] | [
"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
] | [
"19",
"92"
] |
What is the solution to the long multiplication equation below?
58 x 39
Think step by step. | 2262 | [
"To solve the long multiplication of 58 and 39, we'll perform the multiplication and write each step out:\n\n1. Multiply 58 by 9:\n\n \\[ 58 \\times 9 = 522 \\]\n\n2. Multiply 58 by 30 (note: there's a zero at the end, so it's actually 3):\n\n \\[ 58 \\times 30 = 1740 \\]\n\n3. Now, add those two results togeth... | [
"The model output provides a detailed step-by-step calculation of 58 multiplied by 39, resulting in 2262, which matches the solution provided. The final answer quoted is '2262', which aligns with the solution.",
"The model output states that 58 times 39 equals 2262, which matches the solution provided. The reason... | [
"2262",
"2262",
"2262",
"2362",
"No answer provided",
"2222"
] | [
"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,
false
] | [
"39",
"58"
] |
What is the solution to the long multiplication equation below?
39 x 24
Think step by step. | 936 | [
"To solve the long multiplication equation \\(39 \\times 24\\), follow these steps:\n\n1. **Set up the multiplication**: Write the numbers abre, with 39 on top and 24 below it, aligning the digits by place value.\n\n ```\n 39\n × 24\n ```\n\n2. **Multiply 39 by 4 (the units digit of 24)**: Draw a line und... | [
"The solution states that the product of 39 and 24 is 936, which is the correct answer. The model output, however, concludes with 944, which does not match the solution. Therefore, the final answer in the model output is 944, which is incorrect according to the solution.",
"The model output provides a step-by-ste... | [
"944",
"944",
"944",
"843",
"944",
"944"
] | [
"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
] | [
"24",
"39"
] |
What is the solution to the long multiplication equation below?
72 x 41
Think step by step. | 2952 | [
"To solve the long multiplication of 72 by 41, we will follow these steps:\n\n1. **Multiply 41 by 2** (the ones digit of 72): \n \\[\n 41 \\times 2 = 82\n \\]\n Write down 82.\n\n2. **Multiply 41 by 70** (the tens digit of 72, shifted one place to the left):\n \\[\n 41 \\times 70 = 2870\n \\]\n Writ... | [
"The model output correctly performs the multiplication steps: multiplying 41 by 2 to get 82, multiplying 41 by 70 to get 2870, and then adding these results to obtain 2952. It also explicitly states that the solution to 72 x 41 is 2952, matching the provided solution.",
"The model output states that the rechecke... | [
"2952",
"2952",
"2952",
"2952",
"",
"29572"
] | [
"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,
false
] | [
"41",
"72"
] |
What is the solution to the long multiplication equation below?
27 x 64
Think step by step. | 1728 | [
"To solve the long multiplication problem \\(27 \\times 64\\) step by step:\n\n1. Break down 27 into 20 and 7.\n2. Break down 64 into 60 and 4.\n3. Multiply 20 by 60:\n \\[\n 20 \\times 60 = 1200\n \\]\n4. Multiply 20 by 4:\n \\[\n 20 \\times 4 = 80\n \\]\n5. Multiply 7 by 60:\n \\[\n 7 \\times 60 =... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 27 x 64, breaking down the numbers, performing partial multiplications, and summing the results. It concludes that the answer is 1728, which matches the solution provided. The reasoning is consistent and correctly follows the ... | [
"1728",
"1728",
"1728",
"",
"1728",
"1728"
] | [
"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,
true
] | [
"27",
"64"
] |
What is the solution to the long multiplication equation below?
36 x 64
Think step by step. | 2304 | [
"To solve the long multiplication of 36 and 64, follow these step-by-step calculations:\n\n1. First, write down the numbers vertically as you are lining up the right-most digits:\n\n 36 \n × 64 \n -----\n\n2. Multiply 36 by 4 (the rightmost digit of 64). Write the result below, shifting one place to the le... | [
"The solution states the answer is 2304, but the model output's calculation results in 2160. The model's detailed steps conclude that 36 multiplied by 64 equals 2160, which does not match the solution's answer of 2304. Therefore, the model output is incorrect with respect to the provided solution.",
"The model ou... | [
"2160",
"2160",
"2160",
"2160",
"No numerical answer provided",
"27,76"
] | [
"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
] | [
"36",
"64"
] |
What is the solution to the long multiplication equation below?
64 x 36
Think step by step. | 2304 | [
"To solve the long multiplication of 64 x 36, follow these steps:\n\n1. Write the numbers one under the other, making sure to align them by place value.\n\n```\n 64\n × 36\n```\n\n2. Multiply 64 by 6 (the ones place of 36). To do this, multiply 4 by 6, which equals 24. Write down 4 and carry over 2 to the ten... | [
"The model output provides a step-by-step calculation of 64 x 36, resulting in 2160. The solution states the answer as 2304. Since 2160 does not match the solution's answer of 2304, the model output is incorrect.",
"The model output provides the answer as 2160, which does not match the solution 2304. The solution... | [
"2160",
"2160",
"2520",
"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 ... | [
false,
false,
false,
false,
false,
false
] | [
"36",
"64"
] |
What is the solution to the long multiplication equation below?
60 x 27
Think step by step. | 1620 | [
"Step 1: Multiply the ones digit of the second number by the first number.\n60 x 7 = 420\n\nStep 2: Write down the 20, since 420 has a two-digit number after the carryover from the tens place.\n\nStep 3: Multiply the tens digit of the first number by the second number.\n60 x 2 = 120\nSince there is a carryover from... | [
"The model output concludes with 'Therefore, the solution to the long multiplication equation 60 x 27 isboxed{1620}.', which indicates the final answer is 1620. The solution provided is 1620, and the model's reasoning involves multiplying 60 by 7 to get 420, then multiplying 60 by 2 to get 120, and combining these ... | [
"1620",
"",
"1620",
"N/A",
"1620",
"1620"
] | [
"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
] | [
"27",
"60"
] |
What is the solution to the long multiplication equation below?
95 x 63
Think step by step. | 5985 | [
"To solve the long multiplication equation \\(95 \\times 63\\), we'll perform the multiplication step-by-step:\n\n1. **Multiply 95 by 3 (the units digit of 63):**\n \\[\n 95 \\times 3 = 285\n \\]\n\n2. **Multiply 95 by 6 (the tens digit of 63) with a shifted carry:**\n \\[\n 95 \\times 6 = 570 \\quad \\te... | [
"The solution provided in the solution section states that the answer to 95 x 63 is 5985. The model output, however, calculates the product as 1425. Since the question asks for the solution to 95 x 63, the correct answer should match the solution, which is 5985. The model output's final answer is 1425, which does n... | [
"1425",
"6325",
"1425",
"855",
"",
"1425"
] | [
"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
] | [
"63",
"95"
] |
What is the solution to the long multiplication equation below?
82 x 21
Think step by step. | 1722 | [
"1. **Break down the multiplication:**\n - First, break down the multiplication into smaller, more manageable steps. \n - Calculate \\( 82 \\times 1 \\) separately from \\( 82 \\times 20 \\).\n\n2. **Calculate \\( 82 \\times 1 \\):**\n \\[\n 82 \\times 1 = 82\n \\]\n\n3. **Calculate \\( 82 \\times 20 \... | [
"The model output provides a detailed step-by-step calculation that correctly breaks down the multiplication 82 x 21 into smaller parts, computes each part accurately, and sums them to arrive at 1722. The final answer quoted is '1722', which matches the solution provided. Therefore, the output's final answer is cor... | [
"1722",
"1722",
"984",
"1722",
"1722",
"1722"
] | [
"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
] | [
"21",
"82"
] |
What is the solution to the long multiplication equation below?
16 x 66
Think step by step. | 1056 | [
"To solve the long multiplication equation \\( 16 \\times 66 \\), follow these steps:\n\n1. Write the numbers vertically, aligning the digits by place value:\n ```\n 16\n x 66\n ```\n\n2. Multiply 16 by the units digit of 66 (which is 6):\n ```\n 16\n x 6\n , 96\n ```\n\n3. Multiply 16 by the ten... | [
"The output provides a detailed step-by-step explanation of multiplying 16 by 66, culminating in the final answer 1056, which matches the solution provided. The reasoning confirms that the final answer is correctly derived and matches the solution.",
"The model output provides a detailed step-by-step multiplicati... | [
"1056",
"1056",
"1056",
"1056",
"(No answer provided)",
"No 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,
true,
true,
false,
false
] | [
"16",
"66"
] |
What is the solution to the long multiplication equation below?
33 x 59
Think step by step. | 1947 | [
"To solve the long multiplication equation \\( 33 \\times 59 \\), follow these steps:\n\n1. **Multiply the ones place of the second number by the first number:**\n \\[\n 3 \\times 9 = 27\n \\]\n Write down 7 and carry over 2.\n\n2. **Multiply the tens place of the second number by the first number and add t... | [
"The model output states that the answer to 33 x 59 is 197, and the solution provided is 1947. Since 197 does not match 1947, the model's final answer is incorrect.",
"The model output verifies the multiplication 33 x 59 by breaking it down into 33 x (60 - 1), calculating 1980 - 33, which equals 1947. It then sta... | [
"197",
"1947",
"197",
"475",
"197",
"217"
] | [
"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
] | [
"33",
"59"
] |
What is the solution to the long multiplication equation below?
87 x 98
Think step by step. | 8526 | [
"To solve the long multiplication problem \\( 87 \\times 98 \\) step by step, follow these detailed steps:\n\n1. **Multiply 87 by the units digit in 98, which is 8:**\n\n\\[\n87 \\times 8 = 696\n\\]\n\n2. **Multiply 87 by the tens digit in 98, which is 9, and consider this result with a zero shift:**\n\n\\[\n87 \\t... | [
"The model output provides a detailed step-by-step calculation of 87 multiplied by 98, resulting in 8526. It explicitly states that the solution to the multiplication problem is 8526, which matches the solution provided in the initial problem statement. The reasoning is consistent and correctly follows the multipli... | [
"8526",
"8526",
"",
"8526",
"8526",
"8526"
] | [
"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
] | [
"87",
"98"
] |
What is the solution to the long multiplication equation below?
98 x 87
Think step by step. | 8526 | [
"\\boxed{8586}",
"Wait! I can double check this answer. Let's break it down:\n\n98 x 87 = (90 + 8) x (80 + 7) \n= 90 x 80 + 90 x 7 + 8 x 80 + 8 x 7\n= 7200 + 630 + 640 + 56\n= 8586",
"Wait! I can double check this answer. Let's break it down step by step:\n\n1) Multiply 7 (from 87) by 98:\n 7 * 98 = 686\n\n2)... | [
"The model output provides the answer 8586, which is different from the solution 8526. Since the solution states the correct answer is 8526, and the model output's answer does not match this, the output is incorrect.",
"The model output provides a detailed step-by-step calculation of 98 x 87, resulting in 8586. T... | [
"8586",
"8586",
"8586",
"8586",
"1536",
"8586"
] | [
"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
] | [
"87",
"98"
] |
What is the solution to the long multiplication equation below?
44 x 46
Think step by step. | 2024 | [
"To calculate 44 x 46, we can use the standard long multiplication method:\n\n1. Multiply 44 by 6, which gives us 264.\n2. Multiply 44 by 40, which gives us 1760.\n3. Add these two products together: 264 + 1760 = 2024.\n\nTherefore, the solution to the long multiplication equation 44 x 46 is:\n\n\\boxed{2024}",
"... | [
"The model output correctly performs the long multiplication step by step: multiplying 44 by 6 to get 264, multiplying 44 by 40 to get 1760, and then adding these to get 2024. It then states that the solution to 44 x 46 is 2024, which matches the provided solution. The final answer quoted is '2024', which aligns wi... | [
"2024",
"2024",
"",
"2024",
"2024",
"2024"
] | [
"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
] | [
"44",
"46"
] |
What is the solution to the long multiplication equation below?
93 x 48
Think step by step. | 4464 | [
"\\boxed{4464}",
"However, if we make a calculation error, the_student79 can check the solution by performing the long multiplication themselves or with a calculator. The key steps are:\n\n1. Multiply 93 by 8 (the ones digit of 48).\n2. Multiply 93 by 40 (the tens digit of 48), and shift the result one place to t... | [
"The model output is '\boxed{4464}', which directly presents the answer. The solution provided is 4464, matching the value inside the box. Since the output matches the solution, it is correct.",
"The model output does not explicitly state the final answer, but it describes the steps to perform the multiplication:... | [
"4464",
"4464",
"4844",
"4464",
"4464",
"4464"
] | [
"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
] | [
"48",
"93"
] |
What is the solution to the long multiplication equation below?
99 x 18
Think step by step. | 1782 | [
"To solve the long multiplication 99 x 18, we follow these steps:\n\n1. Multiply 99 by 8 (the units digit of 18):\n \\[\n 99 \\times 8 = 792\n \\]\n\n2. Multiply 99 by 10 (the tens digit of 18, which is the same as adding 0 at the end of the number 99):\n \\[\n 99 \\times 10 = 990\n \\]\n Since we are... | [
"The output provides a detailed step-by-step calculation of 99 x 18, resulting in 1782, which matches the solution provided. The final answer quoted in the output is '1782', which aligns with the solution.",
"The model output quotes the answer as 1782, which matches the solution provided, and the reasoning indica... | [
"1782",
"1782",
"1782",
"1782",
"1782",
""
] | [
"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
] | [
"18",
"99"
] |
What is the solution to the long multiplication equation below?
18 x 99
Think step by step. | 1782 | [
"To solve the multiplication problem \\(18 \\times 99\\), we can use the standard long multiplication algorithm.\n\n1. Write down the numbers:\n \\[\n \\begin{array}{c@{}c}\n & 1 8 \\\\\n \\times & 9 9 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. Multiply 18 by 9 (the units digit of 99):\n \\[\n 18 \... | [
"The model output performs long multiplication step by step, calculating 18 x 9 = 162 and 18 x 90 = 1620, then adding these to get 1782. However, the final step in the output shows the sum as 1764, which is inconsistent with the previous calculations. The solution provided states that the answer is 1782, but the mo... | [
"1764",
"",
"1782",
"1764",
"1782",
"1782"
] | [
"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,
true
] | [
"18",
"99"
] |
What is the solution to the long multiplication equation below?
99 x 18
Think step by step. | 1782 | [
"To solve the long multiplication 99 x 18, we follow these steps:\n\n1. Multiply 99 by 8 (the units digit of 18):\n \\[\n 99 \\times 8 = 792\n \\]\n\n2. Multiply 99 by 10 (the tens digit of 18, which is the same as adding 0 at the end of the number 99):\n \\[\n 99 \\times 10 = 990\n \\]\n Since we are... | [
"The output provides a detailed step-by-step calculation of 99 x 18, resulting in 1782, which matches the solution provided. The final answer quoted in the output is '1782', which aligns with the solution.",
"The model output quotes the answer as 1782, which matches the solution provided, and the answer is enclos... | [
"1782",
"1782",
"1782",
"1782",
"1782",
""
] | [
"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
] | [
"18",
"99"
] |
What is the solution to the long multiplication equation below?
62 x 29
Think step by step. | 1798 | [
"To solve the multiplication problem \\(62 \\times 29\\), we can use the standard algorithm for long multiplication. Here's a step-by-step breakdown:\n\n1. **Write the numbers**: \n \\[\n \\begin{array}{c@{}c}\n & 62 \\\\\n & 29 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 62 by 9**:\n \\[\n 62 \\time... | [
"The solution provided states that the answer to 62 x 29 is 1245, which is consistent with the detailed step-by-step calculation in the model output. The model's reasoning correctly performs long multiplication, multiplying 62 by 9 to get 558, then multiplying 62 by 2 to get 124, shifting it appropriately, and summ... | [
"1245",
"1245",
"1,558",
"(No numerical answer provided)",
"",
"1508"
] | [
"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
] | [
"29",
"62"
] |
What is the solution to the long multiplication equation below?
76 x 32
Think step by step. | 2432 | [
"To solve the long multiplication problem \\( 76 \\times 32 \\), follow these steps:\n\n1. Write the numbers vertically, aligning them by their place values:\n \n \\[\n \\begin{array}{c@{}c@{}c}\n & 76 \\\\\n \\times & 32 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. Multiply each digit in the bottom nu... | [
"The solution provided states that the answer to 76 x 32 is 2222. The model output attempts to perform the multiplication step by step, but the calculations and the final result do not match the solution. The model's calculations are inconsistent and contain errors, and the final answer it seems to arrive at is 222... | [
"2222",
"2222",
"2222",
"2222",
"",
"2222"
] | [
"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,
false
] | [
"32",
"76"
] |
What is the solution to the long multiplication equation below?
29 x 41
Think step by step. | 1189 | [
"To solve the long multiplication of 29 x 41, let's break it down step by step:\n\n1) First, write the numbers to be multiplied in a vertical format, aligning the digits:\n\n 29\n × 41\n\n2) Multiply 29 by 1 (the ones digit of 41):\n\n 29\n × 1\n ____\n 29 (29 x 1 = 29)\n\n3) Multiply 29 by 4 (the t... | [
"The model output provides a detailed step-by-step solution to the multiplication 29 x 41, concluding with the answer 1039. The solution given in the prompt states the answer as 1189, which does not match the model's final answer. Since the model's reasoning correctly performs the multiplication and arrives at 1039... | [
"1039",
"1169",
"1039",
"1039",
"1039",
""
] | [
"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
] | [
"29",
"41"
] |
What is the solution to the long multiplication equation below?
46 x 67
Think step by step. | 3082 | [
"To solve the long multiplication equation \\(46 \\times 67\\), we need to break it down into smaller steps. Here's the step-by-step solution:\n\n1. **Multiply 67 by the ones digit of 46 (which is 6):**\n \\[\n 67 \\times 6 = 402\n \\]\n\n2. **Multiply 67 by the tens digit of 46 (which is 4), and remember to ... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 46 x 67, culminating in the final answer 3082. The solution matches the provided answer in the solution section, which is 3082. Therefore, the output correctly solves the problem and aligns with the solution.",
"The model ou... | [
"3082",
"3082",
"3082",
"",
"3082",
"3082"
] | [
"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,
true
] | [
"46",
"67"
] |
What is the solution to the long multiplication equation below?
67 x 46
Think step by step. | 3082 | [
"To solve the multiplication equation \\( 67 \\times 46 \\), follow these steps:\n\n1. **Write the numbers vertically aligned by place value:**\n ```\n 67\n × 46\n ```\n\n2. **Multiply the numbers:**\n\n - Multiply the digit in the ones place of the bottom number (6) by the digits in the top number, in... | [
"The solution states the answer is 3082, but the detailed calculation in the model output concludes the product is 3162. Since the detailed steps lead to 3162, and the solution's answer is 3082, the model output's final answer is incorrect.",
"The model output states that the answer to 67 x 46 is 3162, and it con... | [
"3162",
"3162",
"3162",
"3162",
"3162",
"(no numerical 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
] | [
"46",
"67"
] |
What is the solution to the long multiplication equation below?
96 x 89
Think step by step. | 8544 | [
"To solve the long multiplication of 96 x 89, we'll follow these steps:\n\n1. Break down 96 and 89 into their individual digits for easier multiplication.\n\n 96 = 90 + 6\n\n 89 = 80 + 9\n\n2. Multiply each part of 96 and each part of 89:\n\n (90 * 80) + (90 * 9) + (6 * 80) + (6 * 9)\n\n3. Calculate each mult... | [
"The model output provides a detailed step-by-step calculation that correctly breaks down the multiplication and sums the partial products to arrive at 8544. The final answer quoted is '8544', which matches the solution provided. Therefore, the output's final answer is correct and consistent with the solution.",
... | [
"8544",
"8544",
"255",
"8544",
"8544",
"8364"
] | [
"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
] | [
"89",
"96"
] |
What is the solution to the long multiplication equation below?
69 x 48
Think step by step. | 3312 | [
"To solve the multiplication problem $69 \\times 48$, we can break it down into simpler steps:\n\n1. **Break It into熟悉的Multiplications**: \n - First, consider $69 \\times 48$ as $69 \\times (40 + 8)$.\n - This step decomposes the problem into two easier multiplications: $69 \\times 40$ and $69 \\times 8$.\n\n2.... | [
"The model output concludes that 69 multiplied by 48 equals 3312, which matches the solution provided. The reasoning steps in the output correctly decompose the multiplication into simpler parts, compute each, and sum them to arrive at the final answer.",
"The model output includes the value 3312, which matches t... | [
"3312",
"3312",
"3312",
"",
"3488",
"3312"
] | [
"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
] | [
"48",
"69"
] |
What is the solution to the long multiplication equation below?
80 x 80
Think step by step. | 6400 | [
"\\boxed{6400}",
"But according to standard multiplication rules, the answer should be:\n\n\\boxed{6400}",
"But I need to verify this. Let's break it down:\n\n1. Multiply 80 by 8: \n \\boxed{640}\n\n2. Multiply 64 by 8:\n \\boxed{512}\n\n3. Multiply 512 by 0:\n \\boxed{0}\n\nSo, the final result is:\n\\bo... | [
"The model output is '\boxed{6400}', which directly matches the solution '6400'. Since the solution is the correct product of 80 and 80, and the output quotes the same answer, the output is correct.",
"The model output states: 'But according to standard multiplication rules, the answer should be: \\boxed{6400}'. ... | [
"6400",
"6400",
"6400",
"640",
"6400",
"6400"
] | [
"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,
true
] | [
"80",
"80"
] |
What is the solution to the long multiplication equation below?
78 x 72
Think step by step. | 5616 | [
"To solve the multiplication problem \\(78 \\times 72\\), we can use the standard algorithm for multiplication. Here's a step-by-step breakdown:\n\n1. **Write the numbers vertically aligned:**\n\n ```\n 78\n × 72\n ----\n ```\n\n2. **Multiply 78 by 2 (the units digit of 72):**\n\n ```\n 156\n 7... | [
"The model output provides a detailed step-by-step multiplication process, ultimately arriving at the final answer of 5496. The solution given is 5616, which does not match the model's final answer. Therefore, the model's final answer is incorrect with respect to the solution.",
"The model output provides a detai... | [
"5496",
"5496",
"702",
"5496",
"5616",
"5496"
] | [
"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
] | [
"72",
"78"
] |
What is the solution to the long multiplication equation below?
72 x 78
Think step by step. | 5616 | [
"To solve the long multiplication equation \\(72 \\times 78\\), let's proceed step by step:\n\n1. **Write the numbers vertically:**\n \\[\n \\begin{array}{c}\n 72 \\\\\n \\times 78 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 72 by 8 (the units digit of 78):**\n \\[\n 72 \\times 8 = 576\n \\]\n ... | [
"The model output correctly performs the long multiplication step by step: multiplying 72 by 8 to get 576, then multiplying 72 by 7 to get 504, and combining these results to find the total. The final answer is identified as 4536, which matches the solution provided (5616). However, the model's calculation of 72 x ... | [
"4536",
"4536",
"4536",
"4536 + 5c = 4536",
"4536",
"4536"
] | [
"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
] | [
"72",
"78"
] |
What is the solution to the long multiplication equation below?
63 x 59
Think step by step. | 3717 | [
"Step 1: Write down the numbers to be multiplied in a column format:\n\n```\n 63\n x 59\n```\n\nStep 2: Multiply 63 by 9 (the units digit of 59):\n\n```\n 63\n x 59\n -567\n```\n\nStep 3: Multiply 63 by 5 (the tens digit of 59), and remember to place the result one place to the left in the next column:\... | [
"The model output provides a detailed step-by-step multiplication process, multiplying 63 by 9 to get 567, then multiplying 63 by 5 to get 3150, and finally adding these to get 3717. The final answer quoted is 3717, which matches the solution provided. The reasoning aligns with standard multiplication procedures, a... | [
"3717",
"3717",
"3717",
"3717",
"3707",
"No 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,
true,
true,
false,
false
] | [
"59",
"63"
] |
What is the solution to the long multiplication equation below?
63 x 59
Think step by step. | 3717 | [
"Step 1: Write down the numbers to be multiplied in a column format:\n\n```\n 63\n x 59\n```\n\nStep 2: Multiply 63 by 9 (the units digit of 59):\n\n```\n 63\n x 59\n -567\n```\n\nStep 3: Multiply 63 by 5 (the tens digit of 59), and remember to place the result one place to the left in the next column:\... | [
"The model output provides a detailed step-by-step multiplication process, multiplying 63 by 9 to get 567, then multiplying 63 by 5 to get 3150, and finally adding these results to obtain 3717. The final answer quoted is 3717, which matches the solution provided. The reasoning aligns with standard multiplication pr... | [
"3717",
"3717",
"3717",
"3717",
"3707",
""
] | [
"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,
false
] | [
"59",
"63"
] |
What is the solution to the long multiplication equation below?
85 x 80
Think step by step. | 6800 | [
"To solve the long multiplication equation 85 x 80, we first ignore the decimal point and multiply the numbers as if they were whole numbers:\n\n$$\n85 \\times 80 = 6800\n$$\n\nNow we have to remember that in a real multiplication problem there might be decimals involved in the original numbers (in this case, both ... | [
"The model output states that the solution to 85 x 80 is 68.00, which is incorrect. The correct solution, as given in the provided solution, is 6800. The model's reasoning about decimal points is unnecessary because both numbers are integers, and the product is a whole number. The model's final answer does not matc... | [
"68.00",
"68.00",
"6800",
"6800",
"4000",
"68.00"
] | [
"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,
false
] | [
"80",
"85"
] |
What is the solution to the long multiplication equation below?
92 x 78
Think step by step. | 7176 | [
"To solve the multiplication problem \\(92 \\times 78\\), we will follow the standard long multiplication method.\n\n**Step-by-Step Solution:**\n\n1. **Multiply 78 by 2:**\n \\[\n 78 \\times 2 = 156\n \\]\n Write down 156.\n\n2. **Multiply 78 by 90 (Note: first figure out where the 9 is in the tens place, w... | [
"The output states 'Final Answer: 7176', which matches the solution provided ('7176'). The reasoning in the output correctly performs the multiplication step-by-step, arriving at 7176. Therefore, the final answer in the output is correct and matches the solution.",
"The model output does not provide a direct answ... | [
"7176",
"",
"7176",
"7176",
"7176",
"No 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,
false,
true,
true,
true,
false
] | [
"78",
"92"
] |
What is the solution to the long multiplication equation below?
78 x 92
Think step by step. | 7176 | [
"To solve the long multiplication problem \\( 78 \\times 92 \\), follow the steps below:\n\n1. **Write the numbers** in the standard form:\n \\[\n 78 \\quad 92\n \\]\n\n2. **Multiply the ones digit of the first number by the ones digit of the second number**:\n \\[\n 8 \\times 2 = 16\n \\]\n Write dow... | [
"The model output provides a detailed step-by-step long multiplication process, but the final computed answer is 6516, which does not match the solution provided (7176). The reasoning steps are consistent with the calculation, but the final answer is incorrect. Therefore, the output's final answer is 6516, which do... | [
"6516",
"6516",
"6176",
"8216",
"6516",
"6516"
] | [
"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
] | [
"78",
"92"
] |
What is the solution to the long multiplication equation below?
78 x 14
Think step by step. | 1092 | [
"To solve the multiplication equation $78 \\times 14$, we can break it down into two simple steps:\n\n### Step 1: Multiply 78 by 4\nTo do this, you can multiply 78 by 2 twice:\n- $78 \\times 2 = 156$\n- $156 \\times 2 = 312$\n\nSo, $78 \\times 4 = 312$.\n\n### Step 2: Multiply 78 by 10 (by borrowing or moving the d... | [
"The output provides a detailed step-by-step explanation of multiplying 78 by 14, breaking it into parts: multiplying 78 by 4 to get 312, multiplying 78 by 10 to get 780, and then adding these results to get 1092. The final answer quoted is 1092, which matches the solution provided. The reasoning is consistent and ... | [
"1092",
"1092",
"1092",
"1092",
"1092",
"1092"
] | [
"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
] | [
"14",
"78"
] |
What is the solution to the long multiplication equation below?
14 x 78
Think step by step. | 1092 | [
"To solve the multiplication problem \\( 14 \\times 78 \\), let's break it down into steps:\n\n1. **Break it into parts**: We can split the multiplication into steps. Alternatively, understand it as:\n - \\( 14 \\times (70 + 8) \\) because 78 can be seen as 70 + 8.\n\n2. **Distribute the multiplication**: Apply w... | [
"The model output correctly breaks down the multiplication 14 x 78 into parts, calculating 14 x 70 and 14 x 8, and then sums these to get 1092. The solution provided is 1092, which matches the final answer in the model output. The reasoning is step-by-step and accurate.",
"The model output provides a detailed ste... | [
"1092",
"1092",
"1092",
"1092",
"1092",
"1092"
] | [
"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
] | [
"14",
"78"
] |
What is the solution to the long multiplication equation below?
95 x 76
Think step by step. | 7220 | [
"To solve the long multiplication problem \\(95 \\times 76\\), follow these steps:\n\n1. Write the numbers vertically with the numbers you are multiplying aligned:\n\n \\[\n \\begin{array}{c@{}c@{}c}\n & 9 & 5 \\\\\n \\times & 7 & 6 \\\\\n \\end{array}\n \\]\n\n2. Multiply 95 by 6:\n\n \\[\n 95 \\ti... | [
"The solution states that 95 multiplied by 76 equals 7220. The model output provides a detailed step-by-step calculation, including partial products and their addition, ultimately concluding with 7220. Since the detailed calculation aligns with the final answer of 7220, and the process appears correct, the output's... | [
"7220",
"7220",
"4108",
"7280",
"7220",
"7220"
] | [
"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,
false,
true,
true
] | [
"76",
"95"
] |
What is the solution to the long multiplication equation below?
83 x 17
Think step by step. | 1411 | [
"To solve the long multiplication problem 83 x 17, we break it down into the following steps:\n\n1) Multiply the ones digit of the bottom number by all digits of the top number. Write the result below the line.\n2) Then, multiply the tens digit of the bottom number by all digits of the top number. Write the result ... | [
"The output provides a detailed step-by-step process for multiplying 83 by 17, but the final computed product in the steps is 266, which is incorrect. The output then states that the solution is 1411, matching the provided solution. Since the final answer given in the output ('1411') matches the solution, and the r... | [
"1411",
"1491",
"1411",
"The model output does not provide a final answer; it questions the process.",
"1411",
"The output does not contain a numerical answer to the multiplication problem."
] | [
"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,
false
] | [
"17",
"83"
] |
What is the solution to the long multiplication equation below?
89 x 35
Think step by step. | 3115 | [
"1. Multiply the ones digit of 89 (which is 9) by the number consisting of the tens digit of 35 (which is 3), then remember to shift the result one place to the left:\n\n $$ 9 \\times 3 = 27 $$\n\n $$ 27 \\times 10 = 270 $$\n\n So, we'll carry over 270 to the tens place.\n2. Next, multiply the tens digit of 8... | [
"The solution provided states the answer is 3115, but the model output calculates the product as 3065. The model's calculation process is flawed, as it multiplies digits incorrectly and adds partial products that do not sum to 3115. Therefore, the final answer in the solution (3115) does not match the model's calcu... | [
"3065",
"19405",
"3065",
"3065",
"3065",
"3065"
] | [
"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
] | [
"35",
"89"
] |
What is the solution to the long multiplication equation below?
35 x 89
Think step by step. | 3115 | [
"To solve the long multiplication equation \\( 35 \\times 89 \\), follow these steps:\n\n1. Set up the multiplication vertically:\n```\n 35\n x 89\n```\n\n2. Multiply 35 by 9 (rightmost digit of 89):\n```\n 35\n x 89\n 3555 (35 x 9 = 315, add a zero in the tens place)\n```\n\n3. Multiply 35 by 8 (left... | [
"The model output provides a detailed step-by-step long multiplication process, resulting in the final answer '25255'. The solution given is '3115'. Since the model's final answer does not match the solution, the output is incorrect.",
"The output provides a detailed step-by-step multiplication process, including... | [
"25255",
"25255",
"The model output does not contain a final answer to the multiplication problem.",
"25255",
"25255",
"25255"
] | [
"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
] | [
"35",
"89"
] |
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