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?
94 x 74
Think step by step. | 6956 | [
"To solve the long multiplication \\( 94 \\times 74 \\), we'll follow these steps:\n\n### Step 1\nMultiply 74 by the ones digit of 94, which is 4.\n\n\\[\n74 \\times 4 = 296 + 4 \\times 20 = 296 + 80 = 376\n\\]\n\n### Step 2\nMultiply 74 by the tens digit of 94, which is 9.\n\n\\[\n74 \\times 9 = 666\n\\]\n\n### St... | [
"The model output concludes with the final answer '1042', but the solution states the correct answer is '6956'. The model's detailed steps are inconsistent with the final answer it provides; it computes 94 x 74 as 1042, which is incorrect. The correct multiplication yields 6956, matching the solution. Therefore, th... | [
"1042",
"7076",
"6956",
"6956",
"6956",
"6956"
] | [
"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,
true,
true
] | [
"74",
"94"
] |
What is the solution to the long multiplication equation below?
31 x 41
Think step by step. | 1271 | [
"To solve the long multiplication of 31 and 41, follow these steps:\n\n 1. Multiply the numbers as if they were single digits (31 x 41 = ?).\n - 31 x 41 = 1301\n 2. Since there are two digits in the original numbers (31), place them in the correct place value positions in the result. Therefore, the result is:\... | [
"The model output states that the solution to 31 x 41 is 1301 initially, then corrects itself to 1271, and finally discusses an incorrect calculation leading to 767. The key part is the final stated answer: 'The solution to the long multiplication equation 31 x 41 is 1271.' The solution provided in the prompt is 12... | [
"1271",
"1301",
"1301",
"1271",
"1301",
""
] | [
"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
] | [
"31",
"41"
] |
What is the solution to the long multiplication equation below?
41 x 31
Think step by step. | 1271 | [
"To solve the long multiplication equation \\(41 \\times 31\\), you can break it down into simpler steps:\n\n1. **Write the numbers:** \n \\[\n \\begin{array}{c@{}c}\n & 41 \\\\\n \\hline\n 31 & \n \\end{array}\n \\]\n\n2. **Multiply each digit of the first number (41) by each digit of the second n... | [
"The output states the final answer as '1211' and then discusses verifying it, ultimately concluding the correct product is '1271'. Since the solution provided is '1271' and the output's reasoning aligns with this, the final answer parsed from the output should be '1271'. The output's reasoning includes calculation... | [
"1271",
"1271",
"1271",
"1271",
"1271",
"1271"
] | [
"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
] | [
"31",
"41"
] |
What is the solution to the long multiplication equation below?
48 x 64
Think step by step. | 3072 | [
"To solve the long multiplication equation \\(48 \\times 64\\), follow these step-by-step instructions:\n\n### Step 1: Align the Digits\nFirst, align the digits of the numbers vertically, putting a zero in the ones place of the product, as needed:\n\n```\n 48\n× 64\n------\n```\n\n### Step 2: Multiply by the ones... | [
"The model output provides a detailed step-by-step calculation for multiplying 48 by 64, ultimately concluding that the product is 2072. The solution given is 3072, which does not match the model's final answer. The model's reasoning correctly computes 48 × 64 as 2072, which aligns with the standard multiplication ... | [
"2072",
"20792",
"2072",
"2072",
"2072",
"2072"
] | [
"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",
"64"
] |
What is the solution to the long multiplication equation below?
48 x 64
Think step by step. | 3072 | [
"To solve the long multiplication equation \\(48 \\times 64\\), follow these step-by-step instructions:\n\n### Step 1: Align the Digits\nFirst, align the digits of the numbers vertically, putting a zero in the ones place of the product, as needed:\n\n```\n 48\n× 64\n------\n```\n\n### Step 2: Multiply by the ones... | [
"The model output provides a detailed step-by-step calculation for multiplying 48 by 64, ultimately concluding that the product is 2072. The solution given is 3072, which does not match the model's final answer. The model's reasoning correctly computes 48 × 64 as 2072, which aligns with the solution. Therefore, the... | [
"2072",
"20792",
"2072",
"2072",
"2072",
"2072"
] | [
"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
] | [
"48",
"64"
] |
What is the solution to the long multiplication equation below?
69 x 66
Think step by step. | 4554 | [
"Step 1: First, we need to multiply 69 by 6.\n69 x 6 = 414\nStep 2: Now, we need to multiply 69 by 60.\n69 x 60 = 4140\nStep 3: Finally, we need to add the two results together.\n4140 + 414 = 4554\nTherefore, the solution to the long multiplication equation 69 x 66 is 4554.\n\nBut according to the question, it seem... | [
"The model output provides a detailed step-by-step calculation of 69 x 66, resulting in 4554. It confirms the multiplication process and arrives at the same final answer as the solution, which is 4554. The reasoning is consistent and correctly verifies the multiplication.",
"The model's output concludes that the ... | [
"4554",
"455400",
"4,554",
"4554",
"4554",
""
] | [
"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
] | [
"66",
"69"
] |
What is the solution to the long multiplication equation below?
58 x 13
Think step by step. | 754 | [
"To solve the long multiplication problem \\(58 \\times 13\\), follow these steps:\n\n1. Write down the numbers:\n \\[\n \\begin{array}{c@{}c@{}c}\n & 5 & 8 \\\\\n \\times & 1 & 3 \\\\\n \\end{array}\n \\]\n\n2. Multiply 1 by each digit in 58, starting from the right:\n - \\(1 \\times 8 = 8\\)\n \... | [
"The output provides a detailed step-by-step explanation of multiplying 58 by 13, including breaking down the multiplication into parts and verifying the result. It concludes that the answer is 754, matching the solution provided. The reasoning confirms that the output's final answer is correct.",
"The output pro... | [
"754",
"232",
"754",
"754",
"754",
"754"
] | [
"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
] | [
"13",
"58"
] |
What is the solution to the long multiplication equation below?
20 x 80
Think step by step. | 1600 | [
"Step 1: First, ignore the decimal points and multiply the numbers as if they were whole numbers.\n 2 x 8 = 16\n\n Step 2: Now, count the total number of digits to the right of the decimal points in both factors. In\n this case, there are 1 decimal place in the 2 and 0 decimal places in the 8, maki... | [
"The output concludes with 'So the final answer is 1600,' which matches the solution provided. The reasoning process includes multiplying 20 by 80, and the final answer is explicitly stated as 1600. The output's final answer is consistent with the solution.",
"The output concludes that the solution to 20 x 80 is ... | [
"1600",
"1600",
"16. 0",
"1600",
"1600",
"1600"
] | [
"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
] | [
"20",
"80"
] |
What is the solution to the long multiplication equation below?
80 x 20
Think step by step. | 1600 | [
"To solve the multiplication problem \\( 80 \\times 20 \\), let's break it down step by step:\n\n1. Multiply the digits:\n - First, multiply 8 by 2:\n \\[\n 8 \\times 2 = 16\n \\]\n\n2. Count the total number of digits in the factors:\n - Here, we have two digits in the factor 20:\n - 2 is in th... | [
"The output contains multiple calculations and explanations, but the key part that determines the final answer is the statement: 'the solution to 80 x 20 is \boxed{160}', which is the parsed final answer. The output initially suggests 160, but then discusses 1600 as the correct answer, leading to confusion. The fin... | [
"160",
"160",
"160",
"1600",
"1600",
"1600"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
true,
true,
true
] | [
"20",
"80"
] |
What is the solution to the long multiplication equation below?
66 x 97
Think step by step. | 6402 | [
"To solve the multiplication of 66 x 97 by breaking it down step by step is a good practice, especially for numbers ending in '7'. This method helps simplify the multiplication process.\n\nLet's assume you have a calculator for now; I'll guide you through the manual steps. Or if you prefer, you can use this free on... | [
"The model output provides a detailed step-by-step process for multiplying 66 by 97, including partial calculations and the final result. It initially suggests 5082, then revises to 6402, and finally mentions 6052, which conflicts with the known correct answer. The solution states that 66 x 97 equals 6402, which is... | [
"6402",
"6402",
"5081",
"5082",
"6092",
"#TheAnswer"
] | [
"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
] | [
"66",
"97"
] |
What is the solution to the long multiplication equation below?
97 x 66
Think step by step. | 6402 | [
"$\\boxed{6222}$\n\nBut to confirm, I'll show my step-by-step solution:\n\n1) First, expand 66 to 60 + 6: $97 \\times (60 + 6)$\n2) Distribute the 97: $97 \\times 60 + 97 \\times 6$\n3) Multiply: $97 \\times 60 = 97 \\times (6 \\times 10) = (97 \\times 6) \\times 10$\n $97 \\times 6 = 582$\n So, $97 \\times 60 ... | [
"The model output is '$\\boxed{6222}$'. The solution provided is '6402'. Since 6222 does not match 6402, the model output is incorrect. The reasoning in the output shows the calculation leading to 6222, which is consistent with the step-by-step multiplication of 97 by 66, confirming that 6222 is the correct product... | [
"6222",
"6222",
"",
"3588",
"",
"6402"
] | [
"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
] | [
"66",
"97"
] |
What is the solution to the long multiplication equation below?
45 x 65
Think step by step. | 2925 | [
"To solve the long multiplication problem \\( 45 \\times 65 \\), let's break it down step by step.\n\n1. **Determine the units digit of the product:**\n\n The units digit of 45 is 5.\n The units digit of 65 is 5.\n\n Therefore, the units digit of our product will be \\( 5 \\times 5 = 25 \\). \n So, we write... | [
"The model output attempts to perform long multiplication step by step, but contains multiple errors and inconsistencies in the calculations and explanations. The initial solution provided is 2925, but the model's detailed reasoning and calculations do not align with this, and contain mistakes such as incorrect car... | [
"2625",
"2925",
"2775",
"2825",
"2925",
"2,625"
] | [
"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
] | [
"45",
"65"
] |
What is the solution to the long multiplication equation below?
12 x 55
Think step by step. | 660 | [
"Sure! Let's break it down step by step:\n\n1. First, align the numbers vertically:\n ```\n 12\n x 55\n ```\n\n2. Multiply 12 by the units digit of 55 (which is 5) to find the first partial product:\n ```\n 12\n x 55\n ----\n 60\n 105\n ----\n 660\n ```\n\n3. Now, multiply 12 by the tens... | [
"The model output initially calculates 12 x 55 as 1260, then later corrects to 660 after re-evaluation. The solution provided is 660, which matches the corrected calculation. The model's final answer is 1260, but it recognizes that the correct multiplication result is 660, aligning with the solution. Therefore, the... | [
"1260",
"66",
"1260",
"1260",
"660",
"1260"
] | [
"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
] | [
"12",
"55"
] |
What is the solution to the long multiplication equation below?
16 x 83
Think step by step. | 1328 | [
"To solve the multiplication equation $16 \\times 83$, we can use the standard method for long multiplication, which involves multiplying each digit of the factors place-by-place, from right to left. Here's the step-by-step solution:\n\n1. **Multiply the units digit of the multiplicand by the minuend:**\n - The u... | [
"The model output ultimately states that the product of 16 and 83 is 1328, which matches the solution provided. The reasoning includes multiple calculations and verifications, ultimately confirming the answer as 1328. The final parsed answer is '1328', and since it matches the solution, the correctness is confirmed... | [
"1328",
"1328",
"1328",
"1328",
"",
"1328"
] | [
"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
] | [
"16",
"83"
] |
What is the solution to the long multiplication equation below?
62 x 80
Think step by step. | 4960 | [
"To solve the multiplication problem \\(62 \\times 80\\), we can break it down into simpler steps. \n\nStep 1: Break the multiplication into smaller parts.\n\\(62 \\times 80 = (60 + 2) \\times 80\\)\n\nStep 2: Use the distributive property of multiplication over addition.\n\\(= 60 \\times 80 + 2 \\times 80\\)\n\nSt... | [
"The model output correctly breaks down the multiplication of 62 and 80 using the distributive property, calculating 60×80 + 2×80 = 4800 + 160 = 4960. It then confirms this result through alternative methods, including multiplying 62 by 8 and appending a zero, which also yields 4960. The solution provided is 4960, ... | [
"4960",
"4960",
"4960",
"4960",
"4960",
"4960"
] | [
"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
] | [
"62",
"80"
] |
What is the solution to the long multiplication equation below?
80 x 62
Think step by step. | 4960 | [
"To solve the problem, we will perform the long multiplication as follows:\n\nStep 1: Write down the numbers to be multiplied:\n 80\n× 62\n\nStep 2: Multiply the top number by 2, the ones digit of the bottom number:\n\n 80\n× 2\n----\n 160\n\nStep 3: Next, multiply the same top number by the tens digit of t... | [
"The model output performs the multiplication step-by-step, ultimately arriving at the answer 4960. It correctly multiplies 80 by 2 to get 160, and 80 by 60 to get 4800, then adds these to get 4960. Despite some confusing re-verifications and corrections within the explanation, the final answer provided is 4960, wh... | [
"4960",
"640",
"No answer provided",
"",
"4960",
"4840"
] | [
"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
] | [
"62",
"80"
] |
What is the solution to the long multiplication equation below?
80 x 62
Think step by step. | 4960 | [
"To solve the problem, we will perform the long multiplication as follows:\n\nStep 1: Write down the numbers to be multiplied:\n 80\n× 62\n\nStep 2: Multiply the top number by 2, the ones digit of the bottom number:\n\n 80\n× 2\n----\n 160\n\nStep 3: Next, multiply the same top number by the tens digit of t... | [
"The model output performs the multiplication step-by-step, ultimately concluding that 80 x 62 equals 4960. It initially performs the calculations correctly, multiplying 80 by 2 to get 160, and 80 by 60 to get 4800, then adding these to arrive at 4960. Although the model's explanation contains some confusing and in... | [
"4960",
"640",
"",
"",
"4960",
"4840"
] | [
"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
] | [
"62",
"80"
] |
What is the solution to the long multiplication equation below?
94 x 53
Think step by step. | 4982 | [
"To find the product of 94 and 53, we'll perform long multiplication.\n\n1) Multiply 94 by the units digit in 53, which is 3:\n \\[\n 94 \\times 3 = 282\n \\]\n\n2) Multiply 94 by the tens digit in 53, which is 5:\n \\[\n 94 \\times 5 = 470\n \\]\n Now add the product from step 1:\n \\[\n 282 + 47... | [
"The model output provides a detailed step-by-step calculation of 94 multiplied by 53, ultimately concluding with the answer 4032. The solution given is 4982, which does not match the model's final answer. The model's reasoning correctly computes the product as 4032, but the final answer it quotes is 4032, which ma... | [
"4032",
"19,060",
"4,062",
"4,032",
"The output does not contain a final answer; it is a question about the process.",
""
] | [
"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
] | [
"53",
"94"
] |
What is the solution to the long multiplication equation below?
53 x 94
Think step by step. | 4982 | [
"To solve the multiplication problem \\( 53 \\times 94 \\), you can use the standard multiplication algorithm.\n\nStep 1: Multiply 53 by 9.\n\\[\n\\begin{array}{c}\n 9 \\\\\n \\times\\ 53 \\\\\n\\hline\n 27 \\\\\n 459 \\\\\n\\hline\n\\end{array}\n\\]\nSo, \\( 9 \\times 53 = 459 \\).\n\nStep 2: Multiply 53 by... | [
"The output provides a detailed step-by-step calculation of 53 x 94, ultimately concluding with the answer 671. The solution states that the correct answer is 4982, which does not match the output's final answer. Therefore, the output's final answer (671) does not match the solution (4982).",
"The model output di... | [
"671",
"671",
"6710",
"23.5 and 17.666...",
"",
"671"
] | [
"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
] | [
"53",
"94"
] |
What is the solution to the long multiplication equation below?
70 x 33
Think step by step. | 2310 | [
"To solve the long multiplication equation \\( 70 \\times 33 \\), follow these steps:\n\n1. Write the numbers vertically:\n \\[\n \\begin{array}{r}\n 70 \\\\\n \\times 33 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. First, multiply 70 by 3:\n \\[\n 70 \\times 3 = 210\n \\]\n Write 210 below 0 in ... | [
"The model output concludes with the boxed answer '2310' and provides a detailed step-by-step verification that 70 multiplied by 33 equals 2310. The reasoning aligns with the solution provided, which is 2310. The model's final answer matches the solution, and the detailed explanation confirms correctness.",
"The ... | [
"2310",
"2310",
"23100",
"2310",
"2310",
"2310"
] | [
"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
] | [
"33",
"70"
] |
What is the solution to the long multiplication equation below?
35 x 94
Think step by step. | 3290 | [
"To solve the multiplication equation \\(35 \\times 94\\), let's break it down into two parts:\n\n1. **First, let's multiply 35 by the units digit of 94, which is 4:**\n \\[\n 35 \\times 4 = 140\n \\]\n Write down 0 and carry over 1 (because 5×4 = 20, and we need to account for the 2 in 140).\n\n2. **Next, ... | [
"The solution states the answer is 3290, but the model output calculates the product as 3160. The model output performs the multiplication step-by-step, arriving at 3160, which matches the correct calculation of 35 times 94. Therefore, the model output's final answer is 3160, which is correct according to the detai... | [
"3160",
"3290",
"3160",
"3190",
"3230",
"3290"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] | [
"35",
"94"
] |
What is the solution to the long multiplication equation below?
46 x 85
Think step by step. | 3910 | [
"To solve the long multiplication equation 46 x 85, follow the steps below:\n\n1. Write the numbers vertically:\n \\[\n \\begin{array}{c@{}c}\n & 46\\\\\n \\times & 85\n \\end{array}\n \\]\n\n2. Multiply 46 by 5 (the units digit of 85):\n \\[\n 46 \\times 5 = 230\n \\]\n Write 230 below the li... | [
"The model output concludes that 46 x 85 equals 3910, based on adding 230 and 3680. However, the detailed calculations show that 46 x 5 = 230, and 46 x 80 = 3680, which, when combined appropriately, should give 39100, not 3910. The model's final answer of 3910 is inconsistent with the correct multiplication process... | [
"3910",
"3910",
"",
"Wait, how?",
"",
"3910"
] | [
"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
] | [
"46",
"85"
] |
What is the solution to the long multiplication equation below?
97 x 16
Think step by step. | 1552 | [
"To solve the long multiplication equation \\( 97 \\times 16 \\), you'll need to follow a step-by-step process.\n\n### Step 1: Multiply 16 by the ones digit of 97 (which is 7)\n\\[ 16 \\times 7 = 112 \\]\n\n### Step 2: Write down the result (112) and double the number to get the next step (because we're multiplying... | [
"The model output initially suggests the answer is 400, but then it re-evaluates and concludes the correct answer is 1552, which matches the solution provided. The reasoning involves breaking down the multiplication into parts and summing them, ultimately confirming that 97 multiplied by 16 equals 1552.",
"The mo... | [
"1552",
"336",
"400",
"1552",
"400",
"1568"
] | [
"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
] | [
"16",
"97"
] |
What is the solution to the long multiplication equation below?
16 x 91
Think step by step. | 1456 | [
"To solve the multiplication problem \\( 16 \\times 91 \\), let's break it down step by step:\n\n1. **Understand the problem**: We need to multiply the number 16 by 91.\n\n2. **First step**: Multiply 16 by the digit in the units place of 91, which is 1. This is simply \\( 16 \\times 1 = 16 \\).\n\n3. **Second step*... | [
"The output provides a detailed step-by-step explanation of multiplying 16 by 91, ultimately concluding that the product is 1456. It confirms this by breaking down the multiplication into parts: 16 times 1 equals 16, and 16 times 9 equals 144, which, shifted appropriately, sum to 1456. The explanation also includes... | [
"1456",
"1456",
"1456",
"1456",
"1456",
"1456"
] | [
"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
] | [
"16",
"91"
] |
What is the solution to the long multiplication equation below?
87 x 43
Think step by step. | 3741 | [
"Step 1: Write down the numbers to be multiplied, one above the other:\n\n```\n 87\n × 43\n```\n\nStep 2: Multiply 87 by 3 (the ones digit of 43):\n\n```\n 87\n × 43\n -261\n```\n\nThe 7 in the tens place moves up to the next column.\n\nStep 3: Multiply 87 by 40 (the tens digit of 43, shifted one... | [
"The model output calculates the multiplication of 87 by 43 step by step, arriving at a final answer of 3711. It correctly multiplies 87 by 3 to get 261, and 87 by 40 to get 3480, then adds these to get 3711. The solution provided is 3741, which does not match the model output's final answer. Since the model's calc... | [
"3711",
"3711",
"3711",
"3483",
"3711",
"(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
] | [
"43",
"87"
] |
What is the solution to the long multiplication equation below?
25 x 46
Think step by step. | 1150 | [
"Sure, let's break it down step by step.\n\n25 x 46\n\n1. First, let's multiply the units digit of 25, which is 5, by 6 (the units digit of 46).\n\n 5 x 6 = 30\n\n 30 is our first two-digit number.\n\n2. Next, let's multiply the tens digit of 25, which is 2, by 40 (since we're in the tens place, we need to add a ... | [
"The output provides a step-by-step calculation of 25 x 46, ultimately concluding with the answer 1100, and then discusses the correct answer 1150. The initial calculation in the output is incorrect because 25 x 46 equals 1150, not 1100. The reasoning shows that the model's final answer is 1100, which does not matc... | [
"1100",
"",
"1300",
"1150",
"1100",
"1150"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
true,
false,
true
] | [
"25",
"46"
] |
What is the solution to the long multiplication equation below?
82 x 15
Think step by step. | 1230 | [
"Okay, to solve this, we follow the standard long multiplication method:\n\n1. First, multiply 82 by 5 (the units digit of 15):\n 82\n x 5\n ----\n 410\n\n2. Next, multiply 82 by 10 (the tens digit of 15, which is essentially shifting it one place to the left):\n 82\n x 10\n ----\n 820\n\n3. Now, ... | [
"The output provides a detailed step-by-step explanation of multiplying 82 by 15, including breaking down 15 into 10 and 5, multiplying each separately, and then adding the results. The final boxed answer given is 1230, which matches the solution provided. The reasoning confirms that the output correctly computes t... | [
"1230",
"1230",
"1230",
"1230",
"1230",
""
] | [
"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
] | [
"15",
"82"
] |
What is the solution to the long multiplication equation below?
28 x 62
Think step by step. | 1736 | [
"To solve the equation 28 x 62 using long multiplication, we follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 28 \\\\\n \\times 62 \\\\\n \\end{array}\n \\]\n\n2. **Multiply the multiplicand (28) by the ones digit (2) of the multiplier (62):**\n \\[\n 28... | [
"The model output correctly performs the long multiplication steps: multiplying 28 by 2 to get 56, multiplying 28 by 60 to get 1680, and summing these to get 1736. It also verifies the calculation using distributive property, confirming that 28 x 62 equals 1736. The final answer quoted is 1736, which matches the so... | [
"1736",
"1736",
"1736",
"1764",
"1736",
"1736"
] | [
"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
] | [
"28",
"62"
] |
What is the solution to the long multiplication equation below?
90 x 46
Think step by step. | 4140 | [
"To solve the multiplication problem \\( 90 \\times 46 \\), you can break it down into simpler steps by using the distributive property:\n\n\\[\n90 \\times 46 = 90 \\times (40 + 6)\n\\]\n\nFirst, multiply 90 by 6:\n\n\\[\n90 \\times 6 = 540\n\\]\n\nNext, multiply 90 by 40:\n\n\\[\n90 \\times 40 = 3600\n\\]\n\nNow, ... | [
"The output provides multiple calculations, but the key part is the final answer stated as '4140', which matches the solution. The reasoning steps in the output confirm that the multiplication results in 4140, aligning with the solution. The output explicitly states 'the solution is 4140' and verifies it through di... | [
"4140",
"",
"",
"4140",
"",
"4140"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
false,
true,
false,
true
] | [
"46",
"90"
] |
What is the solution to the long multiplication equation below?
92 x 77
Think step by step. | 7084 | [
"Step 1: Write down the numbers to be multiplied.\n\n`\n92\nx 77\n`\n\nStep 2: Multiply the numbers as if it was a multiplication problem, starting from the rightmost number.\n\n`\n92\nx 77\n...\n\n1744 (92 x 7 = 644, and carry the 644 x 7 = 4608, add the carry, and get 46088)\n`\n\nStep 3: Now, take the number abo... | [
"The model output ultimately provides the answer as 13938, which matches the solution provided (7084). The reasoning process in the output is inconsistent and contains multiple errors, but the final answer given is 13938. Since the solution states 7084, and the model's final answer is 13938, they do not match.",
... | [
"13938",
"",
"Hold on, let me verify this answer.",
"No answer provided",
"53188",
"7084"
] | [
"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
] | [
"77",
"92"
] |
What is the solution to the long multiplication equation below?
77 x 92
Think step by step. | 7084 | [
"To solve the long multiplication problem 77 x 92, we come straight down to business:\n\nStep 1: \nWe start with 77 x 20. \n77 x 2 = 154 (This gives us the first part of the first number we're crafting.)\nSince it's multiplied by 20, we append a 0 behind this result. So, we have 1540.\n\nStep 2:\nNow, we proceed wi... | [
"The model output claims the answer is 7044, but the solution states the correct answer is 7084. The model's reasoning is inconsistent and contains errors, such as incorrect calculations and mismatched steps. The model also quotes 'Therefore, the correct solution to the long multiplication is: \boxed{7084}', which ... | [
"7084",
"8,074",
"7044",
"2234",
"7044",
"7044"
] | [
"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
] | [
"77",
"92"
] |
What is the solution to the long multiplication equation below?
76 x 73
Think step by step. | 5548 | [
"To solve \\( 76 \\times 73 \\) using step-by-step reasoning, you can apply the distributive property of multiplication over addition:\n\n\\[\n76 \\times 73 = 76 \\times (70 + 3)\n\\]\n\nStep 1: Distribute 76 across the terms inside the parentheses:\n\n\\[\n76 \\times 70 + 76 \\times 3\n\\]\n\nStep 2: Calculate eac... | [
"The model output provides a detailed step-by-step calculation of 76 multiplied by 73, ultimately arriving at the value 5548. The solution given is 5548, and the model's reasoning confirms this result through distributive property and long multiplication. The final parsed answer from the output is '5548', which mat... | [
"5548",
"5548",
"5548",
"5548",
"5548",
"7[<79>]"
] | [
"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
] | [
"73",
"76"
] |
What is the solution to the long multiplication equation below?
90 x 86
Think step by step. | 7740 | [
"To solve the long multiplication equation 90 x 86, let's break it down into steps:\n\n1. Multiply 90 by 6 (the ones digit of 86):\n 90 x 6 = 540\n\n2. Multiply 90 by 80 (the tens digit of 86), remembering to shift the result one place to the left (because 80 is ten times 10, which doubles the place value):\n 9... | [
"The output provides a detailed step-by-step explanation of multiplying 90 by 86, including breaking down the multiplication into parts: 90 x 6 = 540 and 90 x 80 = 7200, then summing to get 7740. The final answer given is 7740, which matches the solution provided. The reasoning is consistent and correctly computes ... | [
"7740",
"7740",
"7740",
"7740",
"7740",
"7740"
] | [
"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
] | [
"86",
"90"
] |
What is the solution to the long multiplication equation below?
86 x 90
Think step by step. | 7740 | [
"To solve the multiplication equation \\( 86 \\times 90 \\) step by step, follow these steps:\n\n1. **Break the multiplication into smaller parts:**\n - First, multiply 86 by 9.\n - Then, multiply 86 by 10 and adjust accordingly.\n\n2. **Calculate \\( 86 \\times 10 \\):**\n \\[\n 86 \\times 10 = 860\n \\]... | [
"The model output attempts to compute 86 x 90 by breaking it down into parts, but the calculations are inconsistent and contain errors. It first calculates 86 x 10 as 860, which is correct, but then subtracts 86 x 9 (which is 754) from 860, resulting in 106, which is incorrect for the original multiplication. Later... | [
"1060",
"1060",
"1060",
"",
"7540",
"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,
false,
false,
false,
false,
false
] | [
"86",
"90"
] |
What is the solution to the long multiplication equation below?
86 x 90
Think step by step. | 7740 | [
"To solve the multiplication equation \\( 86 \\times 90 \\) step by step, follow these steps:\n\n1. **Break the multiplication into smaller parts:**\n - First, multiply 86 by 9.\n - Then, multiply 86 by 10 and adjust accordingly.\n\n2. **Calculate \\( 86 \\times 10 \\):**\n \\[\n 86 \\times 10 = 860\n \\]... | [
"The model output contains multiple calculations and corrections, but the key point is the final answer it settles on. The output ultimately states that the correct solution to 86 x 90 is 7740, which matches the solution provided. The reasoning process includes calculations that lead to this conclusion, despite som... | [
"7740",
"1060",
"1060",
"",
"7540",
"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 ... | [
true,
false,
false,
false,
false,
false
] | [
"86",
"90"
] |
What is the solution to the long multiplication equation below?
27 x 81
Think step by step. | 2187 | [
"To solve this long multiplication problem, we'll break it down step by step:\n\n1. First, let's multiply 8 (from the 81) by 27:\n \\[ 8 \\times 27 = 216 \\]\n\n2. Now, let's multiply 8 (from the 81) by 7:\n \\[ 8 \\times 7 = 56 \\]\n But since we're working on the next column, this becomes 560.\n\n3. Next, l... | [
"The model output provides a detailed step-by-step calculation, ultimately concluding that 27 multiplied by 81 equals 793. The solution states the correct answer as 2187. Since the model's final answer (793) does not match the solution (2187), the output is incorrect.",
"The model output does not explicitly state... | [
"793",
"",
"793",
"793",
"540",
"793"
] | [
"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
] | [
"27",
"81"
] |
What is the solution to the long multiplication equation below?
81 x 27
Think step by step. | 2187 | [
"To solve the long multiplication equation \\(81 \\times 27\\), we follow these steps:\n\nStep 1: Multiply the ones digit of the second number by the ones digit of the first number.\n81 \\(\\times\\) 7 = 567\n\nStep 2: Multiply the ones digit by the tens digit of the first number.\n81 \\(\\times\\) 2 = 162\nThen, s... | [
"The model output provides a detailed step-by-step calculation of 81 x 27, ultimately arriving at 2187. It explicitly states, 'Therefore, the solution is confirmed to be 2187,' and repeats this as the final answer. The solution given is 2187, which matches the final answer in the output. The reasoning process, desp... | [
"2187",
"2187",
"2187",
"",
"2187",
"2187"
] | [
"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",
"81"
] |
What is the solution to the long multiplication equation below?
24 x 87
Think step by step. | 2088 | [
"To solve the long multiplication equation \\( 24 \\times 87 \\), we'll break it down step by step.\n\n**Step 1: Break down the multiplication**\n\\[ 24 \\times 87 = 24 \\times (80 + 7) \\]\n\n**Step 2: Use the distributive property**\n\\[ 24 \\times (80 + 7) = (24 \\times 80) + (24 \\times 7) \\]\n\n**Step 3: Calc... | [
"The output provides a detailed step-by-step calculation of 24 multiplied by 87, breaking it down using the distributive property and confirming the sum as 2088. The final answer is explicitly stated as 2088, matching the solution provided. The reasoning is consistent and correctly verifies the multiplication.",
... | [
"2088",
"",
"2016",
"2088",
"2088",
"2088"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
false,
true,
true,
true
] | [
"24",
"87"
] |
What is the solution to the long multiplication equation below?
99 x 98
Think step by step. | 9702 | [
"To solve \\( 99 \\times 98 \\), we can use the standard method for long multiplication. Let's break down the calculation step by step:\n\n1. **Multiplication by the ones digit (8):**\n \\[\n 99 \\times 8 = 792\n \\]\n\n2. **Multiplication by the tens digit (9) butShift it two positions to the left to account... | [
"The model output initially computes the product as 10593, which is incorrect. It then correctly states that the actual product of 99 and 98 is 9702, and provides a detailed calculation confirming this. The final answer quoted in the output is 9702, matching the solution provided. Therefore, the model's final answe... | [
"9702",
"1683",
"",
"9801",
"",
"9898"
] | [
"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
] | [
"98",
"99"
] |
What is the solution to the long multiplication equation below?
66 x 85
Think step by step. | 5610 | [
"To solve the long multiplication equation \\( 66 \\times 85 \\), let's break it down step by step:\n\n1. **Break down the multiplication:**\n\n $$ 66 \\times 85 = (60 + 6) \\times (80 + 5) $$\n\n2. **Apply the distributive property (also known as the FOIL method for binomials):**\n\n $$ (a + b) \\times (c + d)... | [
"The model output provides a detailed step-by-step calculation of 66 x 85, ultimately arriving at 5610. The solution given is 5610, and the model's reasoning confirms this result through distributive property and long multiplication verification. The final answer parsed from the output is '5610', which matches the ... | [
"5610",
"5610",
"5490",
"5610",
"5610",
"5675"
] | [
"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
] | [
"66",
"85"
] |
What is the solution to the long multiplication equation below?
47 x 13
Think step by step. | 611 | [
"To solve the long multiplication problem \\( 47 \\times 13 \\), follow these steps:\n\n1. Set up the multiplication vertically:\n```\n 47\n × 13\n```\n\n2. Multiply 47 by 3 (the ones digit of 13) and write the result below:\n```\n 47\n × 13\n ------\n 141\n```\n\n3. Multiply 47 by 10 (the tens digi... | [
"The model output provides a detailed step-by-step calculation of 47 multiplied by 13, resulting in 6131. The solution given is 611, which does not match the final answer in the output. The output's reasoning confirms that the correct product is 6131, and the final answer parsed from the output is '6131'. Since the... | [
"6131",
"6131",
"611",
"6131",
"6130",
"6131"
] | [
"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
] | [
"13",
"47"
] |
What is the solution to the long multiplication equation below?
77 x 56
Think step by step. | 4312 | [
"To solve the long multiplication problem, 77 x 56, we'll calculate it step by step as if adding 77 56 times.\n\nFirst, let's multiply the units column:\n77 x 6 = 462\n\nNow, let's move to the tens column. We multiply 77 by 5, and then remember that 5 is actually 50 (from the ten's place), so we'll add 50 x 77的身影:\... | [
"The model output contains multiple calculations and verifications, but the key part is the final stated answer: 'boxed{4432}'. The solution provided is 4312, which is different from 4432. The model's reasoning shows some confusion and inconsistent calculations, but ultimately, it states that the solution to 77 x 5... | [
"4432",
"43874",
"4432",
"4432",
"4432",
"4432"
] | [
"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
] | [
"56",
"77"
] |
What is the solution to the long multiplication equation below?
29 x 13
Think step by step. | 377 | [
"To solve the multiplication of 29 and 13 using long multiplication, follow these steps:\n\n1. **Multiply 29 by 3**: \n - \\(29 \\times 3 = 87\\). Write down 7 and carry over 8.\n \n2. **Multiply 29 by 10**:\n - \\(29 \\times 10 = 290\\). Now add the carried over 8.\n - \\(290 + 8 = 298\\).\n\n3. **Combine ... | [
"The output concludes that 29 multiplied by 13 equals 377, matching the solution provided. The reasoning in the output correctly performs the multiplication step-by-step and confirms the result with multiple checks.",
"The model output provides a step-by-step multiplication process and concludes with the final an... | [
"377",
"377",
"377",
"385",
"377",
"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,
true,
true
] | [
"13",
"29"
] |
What is the solution to the long multiplication equation below?
98 x 26
Think step by step. | 2548 | [
"To solve the long multiplication equation \\( 98 \\times 26 \\) step by step, follow these steps:\n\n1. **Break down the problem:**\n \\[\n 98 \\times 26 = 98 \\times (20 + 6)\n \\]\n\n2. **Apply the distributive property:**\n \\[\n 98 \\times (20 + 6) = (98 \\times 20) + (98 \\times 6)\n \\]\n\n3. **C... | [
"The model output provides a detailed step-by-step calculation of 98 multiplied by 26, breaking it down into parts, applying distributive property, and summing the partial products. It concludes that the answer is 2548, which matches the solution provided. The reasoning is consistent and correctly follows the multi... | [
"2548",
"1274",
"",
"",
"2548",
"2548"
] | [
"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
] | [
"26",
"98"
] |
What is the solution to the long multiplication equation below?
28 x 94
Think step by step. | 2632 | [
"To solve the long multiplication equation \\( 28 \\times 94 \\), follow these steps:\n\n1. Set up the multiplication as follows:\n\n \\[\n \\begin{array}{r}\n \\phantom{0}28 \\\\\n \\times \\phantom{0} 94 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. Multiply 28 by each digit of 94 separately.\n\n - Fi... | [
"The model output provides a detailed step-by-step explanation of multiplying 28 by 94, ultimately concluding that the product is 2530. It also attempts to verify this result through an alternative calculation, which yields 2532, but then reaffirms that the correct answer is 2530. The solution given is 2632, which ... | [
"2530",
"2632",
"2530",
"No answer provided",
"2530",
"2632"
] | [
"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
] | [
"28",
"94"
] |
What is the solution to the long multiplication equation below?
95 x 52
Think step by step. | 4940 | [
"To solve \\(95 \\times 52\\) using long multiplication, follow these steps:\n\n1. Write the numbers one below the other, aligning the units:\n\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & & 9 & 5 \\\\\n \\times & & 5 & 2 \\\\\n \\end{array}\n \\]\n\n2. Multiply 2 by 95:\n\n \\[\n 2 \\times 95 = 190\... | [
"The model output contains multiple calculations and ultimately concludes with the answer '1159'. The solution provided states that the answer to 95 x 52 is 4940. Comparing these, the model's final answer does not match the solution's answer. The reasoning process in the output is inconsistent and contains errors, ... | [
"1159",
"5000",
"",
"",
"1159",
""
] | [
"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
] | [
"52",
"95"
] |
What is the solution to the long multiplication equation below?
73 x 27
Think step by step. | 1971 | [
"To solve the long multiplication problem \\(73 \\times 27\\), let's break it down step by step.\n\n### Step 1: Set up the multiplication\n \n \\[\n \\begin{array}{r}\n 73 \\\\\n \\times 27 \\\\\n \\hline\n \\end{array}\n \\]\n\n### Step 2: Multiply 73 by 7\n \n \\[\n 73 \\times 7 = 511\n ... | [
"The model output provides a detailed step-by-step calculation of 73 multiplied by 27, ultimately arriving at the answer 1971. It confirms the multiplication process and verifies the final answer multiple times, aligning with the solution provided, which is 1971.",
"The model output provides a detailed correction... | [
"1971",
"5129",
"1971",
"",
"1971",
"1971"
] | [
"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",
"73"
] |
What is the solution to the long multiplication equation below?
73 x 27
Think step by step. | 1971 | [
"To solve the long multiplication problem \\(73 \\times 27\\), let's break it down step by step.\n\n### Step 1: Set up the multiplication\n \n \\[\n \\begin{array}{r}\n 73 \\\\\n \\times 27 \\\\\n \\hline\n \\end{array}\n \\]\n\n### Step 2: Multiply 73 by 7\n \n \\[\n 73 \\times 7 = 511\n ... | [
"The model output provides a detailed step-by-step calculation of 73 multiplied by 27, ultimately arriving at the answer 1971. It confirms the calculation by breaking down the multiplication into partial products and summing them, which aligns with the solution provided. The output explicitly states the final answe... | [
"1971",
"5129",
"1971",
"No numerical answer provided.",
"1971",
"1971"
] | [
"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",
"73"
] |
What is the solution to the long multiplication equation below?
60 x 55
Think step by step. | 3300 | [
"To solve the equation \\( 60 \\times 55 \\) using long multiplication, follow these steps:\n\n1. **Write down the numbers in columns:**\n ```\n 60\n x 55\n ```\n\n2. **Multiply 60 by the units digit of 55 (which is 5):**\n \\[\n 60 \\times 5 = 300\n \\]\n Write 300 below the line.\n\n3. **Mu... | [
"The output provides a detailed step-by-step explanation of multiplying 60 by 55, including breaking down the multiplication into parts and summing the partial products. It concludes that the final answer is 3300, which matches the solution provided. The reasoning confirms that the output's final answer is correct ... | [
"3300",
"3300",
"3300",
"3300",
"3300",
"3300"
] | [
"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
] | [
"55",
"60"
] |
What is the solution to the long multiplication equation below?
81 x 98
Think step by step. | 7938 | [
"To solve the long multiplication equation \\(81 \\times 98\\), we will follow the steps necessary to perform the multiplication. Here are the steps in detail:\n\n1. **Break down the problem using zeros**: \n We can break down \\(98\\) into \\(90 + 8\\) because \\(98\\) is \\(10\\) more than \\(90\\). This makes ... | [
"The output provides a detailed step-by-step calculation of 81 x 98, ultimately concluding with the answer 8628. The solution states that the answer is 7938, which conflicts with the output's conclusion. The output's reasoning includes multiple calculations, but the final answer quoted in the output is 8628, which ... | [
"8628",
"8628",
"7838",
"8628",
"8628",
"8628"
] | [
"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
] | [
"81",
"98"
] |
What is the solution to the long multiplication equation below?
81 x 98
Think step by step. | 7938 | [
"To solve the long multiplication equation \\(81 \\times 98\\), we will follow the steps necessary to perform the multiplication. Here are the steps in detail:\n\n1. **Break down the problem using zeros**: \n We can break down \\(98\\) into \\(90 + 8\\) because \\(98\\) is \\(10\\) more than \\(90\\). This makes ... | [
"The output provides a detailed step-by-step calculation of 81 x 98, ultimately concluding with the answer 8628. The solution states that the answer is 7938, which conflicts with the output's conclusion. The output's reasoning includes multiple calculations, but the final answer quoted in the output is 8628, which ... | [
"8628",
"8628",
"7838",
"8628",
"8628",
"8628"
] | [
"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
] | [
"81",
"98"
] |
What is the solution to the long multiplication equation below?
61 x 89
Think step by step. | 5429 | [
"To solve the long multiplication equation \\( 61 \\times 89 \\), follow these steps:\n\n1. **Set up the multiplication**, similar to how you would solve \\( 61 \\times 89 \\):\n\n\\[\n\\begin{array}{r}\n 61 \\\\\n\\times 89 \\\\\n \\hline\n\\end{array}\n\\]\n\n2. **Multiply the ones digit of the first number... | [
"The model output concludes with the answer '5329' after performing the long multiplication steps, and explicitly states 'the product of 61 and 89 is 5329'. The solution provided states the correct answer as 5429. Since the model's final answer does not match the solution, I need to verify which is correct.",
"Th... | [
"5329",
"5329",
"5429",
"5329",
"5329",
"5429"
] | [
"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
] | [
"61",
"89"
] |
What is the solution to the long multiplication equation below?
61 x 89
Think step by step. | 5429 | [
"To solve the long multiplication equation \\( 61 \\times 89 \\), follow these steps:\n\n1. **Set up the multiplication**, similar to how you would solve \\( 61 \\times 89 \\):\n\n\\[\n\\begin{array}{r}\n 61 \\\\\n\\times 89 \\\\\n \\hline\n\\end{array}\n\\]\n\n2. **Multiply the ones digit of the first number... | [
"The model output attempts to perform long multiplication step-by-step, but the calculations are inconsistent and contain errors. It initially suggests the product is 5329, then later confirms the correct product as 5429 by using the distributive property and subtraction. The solution provided states the answer as ... | [
"5429",
"5329",
"5429",
"5329",
"5329",
"5429"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
true,
false,
false,
false
] | [
"61",
"89"
] |
What is the solution to the long multiplication equation below?
61 x 89
Think step by step. | 5429 | [
"To solve the long multiplication equation \\( 61 \\times 89 \\), follow these steps:\n\n1. **Set up the multiplication**, similar to how you would solve \\( 61 \\times 89 \\):\n\n\\[\n\\begin{array}{r}\n 61 \\\\\n\\times 89 \\\\\n \\hline\n\\end{array}\n\\]\n\n2. **Multiply the ones digit of the first number... | [
"The model output attempts to perform long multiplication step-by-step, but the calculations are inconsistent and contain errors. It initially suggests the product is 5329, then later confirms the correct product as 5429 by using the distributive property and subtraction. The solution provided states the answer as ... | [
"5429",
"5329",
"5429",
"5329",
"5329",
"5429"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
true,
false,
false,
false
] | [
"61",
"89"
] |
What is the solution to the long multiplication equation below?
88 x 61
Think step by step. | 5368 | [
"To solve the long multiplication equation 88 x 61, we will break it down step by step as follows:\n\nStep 1: Break down the larger number (61) into its tens and ones place values. Thus, 61 equals 60 + 1.\n\nStep 2: Multiply each part (60 and 1) of the number by the other number (88).\n\nMultiplication part 1:\n88 ... | [
"The output first calculates 88 x 61 as 8,888, then questions this result, and finally states the correct answer as 51,280. The initial calculation of 8,888 is incorrect for 88 x 61, which should be 5,368, matching the solution provided. The output then discusses the process and attempts to verify the answer, but t... | [
"51,280",
"5368",
"5368",
"5368",
"5328",
"8888"
] | [
"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,
true,
false,
false
] | [
"61",
"88"
] |
What is the solution to the long multiplication equation below?
52 x 56
Think step by step. | 2912 | [
"Step 1: Set up the multiplication with the numbers aligned by place value.\n \n 52\nx 56\n-----\n\nStep 2: Multiply the ones digit of the top number by the ones digit of the bottom number.\n\n 52\nx 56\n-----\n 112 <- This is 2 x 6\n\nStep 3: Move to the tens digit of the top number and multiply it by the o... | [
"The model output ultimately concludes that the product of 52 and 56 is 2812, which matches the solution provided. The reasoning includes multiple attempts and checks, but the final answer given is 2812. The model's reasoning aligns with the solution, and the final answer it provides is 2812.",
"The model output ... | [
"2812",
"2812",
"2812",
"2812",
"2812",
"2812"
] | [
"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
] | [
"52",
"56"
] |
What is the solution to the long multiplication equation below?
15 x 42
Think step by step. | 630 | [
"To solve the multiplication problem \\(15 \\times 42\\), we will follow these steps:\n\n1. **Break down the numbers:**\n - \\(15\\) can be factored as \\(10 + 5\\).\n - \\(42\\) can be factored as \\(40 + 2\\).\n\n2. **Apply the distributive property:**\n\n \\[\n 15 \\times 42 = 15 \\times (40 + 2)\n \\]... | [
"The model output provides a detailed step-by-step calculation of 15 multiplied by 42, ultimately arriving at 630. It explicitly states 'Therefore, the solution to the multiplication equation 15 x 42 is 630' and confirms this multiple times. The solution matches the provided answer in the question, which is 630. Th... | [
"630",
"",
"",
"630",
"630",
"630"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
false,
true,
true,
true
] | [
"15",
"42"
] |
What is the solution to the long multiplication equation below?
29 x 10
Think step by step. | 290 | [
"To solve the long multiplication problem \\( 29 \\times 10 \\), follow these steps:\n\n1. Take the single-digit number 29 and multiply it by 10.\n2. The multiplication is done by simply adding a zero at the end of the number 29.\n\n\\[\n29 \\times 10 = 290\n\\]\n\nSo, the solution is:\n\n\\boxed{290}\n\nBut to con... | [
"The model output correctly states that multiplying 29 by 10 results in 290, and it provides a step-by-step explanation consistent with the solution. The final answer quoted is '290', which matches the solution. The reasoning confirms that the output is correct.",
"The model output confirms the calculation of 29 ... | [
"290",
"290",
"290",
"The model output does not provide a final answer; it questions the correctness of the answer instead.",
"290",
"290"
] | [
"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
] | [
"10",
"29"
] |
What is the solution to the long multiplication equation below?
94 x 25
Think step by step. | 2350 | [
"To solve 94 multiplied by 25, we can use the standard multiplication algorithm.\n\n94\nx 25\n____\n4700 (94 x 5, then carry over 470)\n18800 (94 x 20, add the carry over from the previous step)\n\nSo the solution is 23500.\n\nHowever, if you are looking for a step-by-step process, here it is:\n\n1. Multiply 94 by ... | [
"The output provides a detailed step-by-step calculation of 94 multiplied by 25, ultimately concluding that the product is 23500. The solution given is 2350, which does not match the final calculated answer in the output. The output's reasoning confirms that the correct answer is 23500, not 2350.",
"The model out... | [
"23500",
"23500",
"23500",
"(no numerical answer provided)",
"23500",
"(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 ... | [
false,
false,
false,
false,
false,
false
] | [
"25",
"94"
] |
What is the solution to the long multiplication equation below?
56 x 49
Think step by step. | 2744 | [
"Certainly! Let's solve the long multiplication equation step by step for \\(56 \\times 49\\):\n\nStep 1: Write the numbers vertically.\n\\[\n\\begin{array}{c@{}c}\n & 56 \\\\\n\\times & 49 \\\\\n\\end{array}\n\\]\n\nStep 2: Multiply 49 by 6.\n\\[\n49 \\times 6 = 294\n\\]\nWrite 294 below 56, aligning the rightmost... | [
"The output provides a detailed step-by-step explanation of multiplying 56 by 49, ultimately concluding that the answer is 2744. It also cross-verifies the calculation using different methods, confirming that 2744 is correct. The final answer quoted in the output is '2744', which matches the solution provided. Ther... | [
"2744",
"(none)",
"2744",
"2744",
"",
"2954"
] | [
"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,
false
] | [
"49",
"56"
] |
What is the solution to the long multiplication equation below?
12 x 52
Think step by step. | 624 | [
"To solve the long multiplication equation \\(12 \\times 52\\), follow these steps:\n\n1. **Set up the multiplication:** Write the numbers vertically, placing 12 under the tens place and 52 below it, aligned by the rightmost digit.\n\n```\n 12\n × 52\n```\n\n2. **Multiply each digit of the bottom number by the... | [
"The output provides a detailed step-by-step explanation of multiplying 12 by 52, including setting up the multiplication, multiplying each digit, and adding the partial results. Despite some extraneous and inconsistent statements, the key part is the final answer given as 624, which matches the solution. The reaso... | [
"624",
"624",
"624",
"624",
"624",
""
] | [
"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
] | [
"12",
"52"
] |
What is the solution to the long multiplication equation below?
62 x 61
Think step by step. | 3782 | [
"To solve the long multiplication \\(62 \\times 61\\), we can break it down into simpler steps:\n\n1. **First part**: Multiply 60 by 61.\n \\[\n 60 \\times 61 = 60 \\times (60 + 1) = 60 \\times 60 + 60 \\times 1 = 3600 + 60 = 3660\n \\]\n\n2. **Second part**: Multiply 2 by 61.\n \\[\n 2 \\times 61 = 2 \\t... | [
"The model output provides a detailed step-by-step calculation for multiplying 62 by 61, ultimately arriving at the answer 3782. The solution given is 3782, and the model's reasoning confirms this as the correct product. The final answer parsed from the output is '3782'. Since the solution matches the parsed final ... | [
"3782",
"3782",
"3782",
"3782",
"3782",
"3782"
] | [
"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
] | [
"61",
"62"
] |
What is the solution to the long multiplication equation below?
61 x 62
Think step by step. | 3782 | [
"To solve the long multiplication problem 61 x 62, we follow the steps for multiplying a two-digit number by a two-digit number. Here's the step-by-step process:\n\n1. **Write the numbers**: \n \\[\n \\begin{array}{r}\n 61 \\\\\n \\times 62 \\\\\n \\end{array}\n \\]\n\n2. **Multiply the numbers in the o... | [
"The model output initially calculates 61 x 62 as 36722, then later suggests the correct answer is 3782 after re-evaluation. The solution provided states the answer as 3782, which matches the second calculation in the model output. The model's reasoning involves multiple steps, including breaking down the multiplic... | [
"3782",
"The model output does not contain a numerical answer; it only expresses uncertainty and a desire to multiply quickly.",
"36722",
"36722",
"The model output does not contain a numerical answer; it only discusses confusion about the sign.",
"36722"
] | [
"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
] | [
"61",
"62"
] |
What is the solution to the long multiplication equation below?
30 x 11
Think step by step. | 330 | [
"To solve the long multiplication equation \\( 30 \\times 11 \\), follow these steps:\n\n1. Write the numbers in a vertical format to align the place values.\n \n \\[\n \\begin{array}{r}\n 30 \\\\\n \\times 11 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. Multiply the top number by the digit in the ones... | [
"The output provides multiple calculations confirming that 30 multiplied by 11 equals 330. It explicitly states 'Therefore, the solution to the equation 30 x 11 is indeed 330' and performs the multiplication using different methods, all arriving at 330.",
"The model output attempts to verify the multiplication of... | [
"330",
"330",
"The model output does not contain a numerical answer; it only questions the solution.",
"330",
"330",
"330"
] | [
"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
] | [
"11",
"30"
] |
What is the solution to the long multiplication equation below?
59 x 80
Think step by step. | 4720 | [
"To solve the long multiplication problem \\( 59 \\times 80 \\), follow these steps:\n\n1. Write the numbers one below the other, aligning the rightmost digits:\n ```\n 59\n x 80\n ```\n\n2. Multiply the top digit by the second number on the right (0), which is 0. The result is 0, so we write 0 in the prod... | [
"The output contains multiple calculations and explanations, but the key part is the final boxed answer, which is \boxed{4720}. The solution provided states that 59 multiplied by 80 equals 4720, which matches the correct calculation (59 x 80 = 4720). The reasoning in the output confirms this, and the final answer i... | [
"4720",
"4720",
"",
"4400",
"4400",
"4400"
] | [
"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
] | [
"59",
"80"
] |
What is the solution to the long multiplication equation below?
80 x 59
Think step by step. | 4720 | [
"To solve the multiplication problem 80 x 59, we can break it down into simpler steps:\n\nStep 1: Break the problem into parts.\n80 x 59 = 80 x (60 - 1)\n\nStep 2: Distribute the multiplication across the terms inside the parentheses.\n= 80 x 60 - 80 x 1\n\nStep 3: Perform the multiplications.\n7200 - 80 = 7120\n\n... | [
"The output initially calculates 80 x 59 as 7120 by breaking it down into 80 x 60 - 80 x 1, which equals 4800 - 80 = 4720. However, the output then states 'Therefore, the solution to the long multiplication equation 80 x 59 is: 7120,' which is inconsistent with the previous calculation. Later, the output re-evaluat... | [
"4720",
"The model output does not explicitly state the answer to 80 x 59.",
"7120",
"4720",
"7120",
"4720"
] | [
"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
] | [
"59",
"80"
] |
What is the solution to the long multiplication equation below?
21 x 61
Think step by step. | 1281 | [
"Step 1: Multiply the ones digit of 21 by the ones digit of 61.\n21 x 1 = 21\n\nStep 2: Multiply the ones digit of 21 by the tens digit of 61.\n21 x 6 = 126\n\nStep 3: Add the results of step 1 and step 2.\n21 + 126 = 147\n\nTherefore, the solution to the long multiplication equation 21 x 61 is 147.\n\nBut to confi... | [
"The model output initially suggests the answer is 147, based on the step-by-step addition of partial products. However, the solution provided is 1281, which matches the traditional multiplication calculation: (20 + 1) x (60 + 1) = 20 x 60 + 20 x 1 + 1 x 60 + 1 x 1 = 1200 + 20 + 60 + 1 = 1281. The model's reasoning... | [
"147",
"1470",
"1470",
"1281",
"1281",
"231"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
true,
true,
true
] | [
"21",
"61"
] |
What is the solution to the long multiplication equation below?
85 x 22
Think step by step. | 1870 | [
"To solve the long multiplication of 85 and 22, we will follow these steps:\n\n1. **Multiply 2 (from 22) by 85**:\n - Since 2 multiplied by 5 is 10,\n - We write down 0 and carry over 1.\n - Then, 2 multiplied by 8 (including the carried over 1) is 16:\n \\[\n 85 \\times 2 = 170\n \\]\n\n2. **Add ... | [
"The output provides a detailed step-by-step calculation confirming that 85 multiplied by 22 equals 1870. It correctly applies the distributive property: 85 x 20 + 85 x 2 = 1700 + 170 = 1870. The final answer quoted is '1870', which matches the solution provided. Therefore, the output's final answer is correct.",
... | [
"1870",
"1870",
"1870",
"1870",
"(no explicit final answer provided)",
"1870"
] | [
"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
] | [
"22",
"85"
] |
What is the solution to the long multiplication equation below?
22 x 85
Think step by step. | 1870 | [
"To solve the long multiplication problem of 22 x 85, let's break it down into steps:\n\nStep 1: \nMultiply the units digit of 22 (which is 2) by the hundreds digit of 85 (which is 8). Then multiply by the tens digit of 85 (which is 8).\n\n 8\n× 22\n_____\n16 (8 x 2)\n160 (8 x 22, adding a zero for the tens pla... | [
"The output contains multiple calculations and explanations, but the key part that addresses the question directly is the final boxed answer: '22 x 85 = 2070'. This matches the solution provided, which is '1870', but the output's reasoning concludes the correct product as 2070, indicating a correction to the initia... | [
"2070",
"3062",
"1870",
"400",
"1820",
"1820"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
true,
false,
false,
false
] | [
"22",
"85"
] |
What is the solution to the long multiplication equation below?
90 x 16
Think step by step. | 1440 | [
"To solve 90 x 16 using long multiplication, follow these steps:\n\n 1. Write down the problem in a vertical format.\n 2. Start multiplying the 6 by the bottom number, 0. 90 x 6 = 540. 540 is written below the line.\n 3. Now multiply the 1 by the bottom number, 0. 90 x 1 = 90. 90 is written below the line, t... | [
"The output provides a detailed step-by-step explanation of the multiplication, but the steps and the final answer are inconsistent. The explanation concludes with an answer of 630, which matches the quoted answer in the output. However, the solution states that the correct answer is 1440, indicating a discrepancy.... | [
"630",
"1440",
"1440",
"1440",
"1440",
"1440"
] | [
"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,
true,
true,
true
] | [
"16",
"90"
] |
What is the solution to the long multiplication equation below?
30 x 76
Think step by step. | 2280 | [
"excellence.\n\nto solve this long multiplication equation, we multiply 30 by 6 (the rightmost digits of 30 and 76), then we cross multiply 30 by 70 (farther digits) and add the results.\n\nstep 1: 30 x 6 = 180\n\nstep 2: 30 x 70 = 2100\n add the result to step 1: 180 + 2100 = 2280\n\nthe final result is: 2280... | [
"The output quotes the final answer as '2280' and provides a detailed step-by-step calculation confirming this result. The solution also states that the multiplication of 30 by 76 equals 2280, which aligns with the final answer given. The reasoning is consistent and correctly addresses the question. The output's fi... | [
"2280",
"No answer provided",
"2280",
"2280",
"2280",
"(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
] | [
"30",
"76"
] |
What is the solution to the long multiplication equation below?
19 x 37
Think step by step. | 703 | [
"Sure! Let's break it down step by step:\n\n1) **Set up the multiplication:**\n \\[\n \\begin{array}{@{}c@{}c@{}c@{}c@{}c@{}c}\n & 1 & 9 & \\text{―} & 3 & 7 \\\\\n \\end{array}\n \\]\n\n2) **Multiply 19 by 7 (the ones digit of 37):**\n - \\( 19 \\times 7 = 133 \\)\n - Write down 133, but reverse the... | [
"The model output provides a detailed step-by-step calculation, ultimately concluding that 19 multiplied by 37 equals 703. The solution given is 703, and the model's reasoning aligns with this. The model also verifies the answer through multiple methods, reinforcing its correctness.",
"The model output quotes the... | [
"703",
"703",
"703",
"703",
"The output does not contain a numerical answer.",
"703"
] | [
"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",
"37"
] |
What is the solution to the long multiplication equation below?
37 x 19
Think step by step. | 703 | [
"To solve the long multiplication equation 37 x 19, follow these steps:\n\n1. Write down the numbers one under the other:\n\n```\n 37\n x 19\n------\n```\n\n2. Multiply 37 by 9:\n\n```\n 37\n x 9\n------\n 333\n```\n\n3. Multiply 37 by 1, shifting the result one place to the left (as we carry the 1 from the pr... | [
"The model output concludes that the solution to 37 x 19 is 703, matching the provided solution. It provides detailed step-by-step calculations that lead to 703, and explicitly states that the answer is 703. Therefore, the final answer parsed from the output is '703', which matches the solution. Since the output's ... | [
"703",
"703",
"703",
"No answer provided",
"",
"703"
] | [
"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
] | [
"19",
"37"
] |
What is the solution to the long multiplication equation below?
58 x 95
Think step by step. | 5510 | [
"To solve the long multiplication problem \\(58 \\times 95\\), we will proceed step by step according to the standard algorithm of long multiplication.\n\n1. **Set Up the Problem:**\n \\[\n \\begin{array}{c @{}c @{}c}\n & 5 & 8 \\\\\n \\times & 9 & 5 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 58 by 5 ... | [
"The model output concludes that the product of 58 and 95 is 5510, based on the step-by-step long multiplication process, including multiplying 58 by 5 to get 290 and by 90 to get 5220, then adding these to get 5510.",
"The model output questions the solution '5510' and suggests it should be '5390'. Since the sol... | [
"5510",
"5390",
"5510",
"5510",
"290 5220",
"5510"
] | [
"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
] | [
"58",
"95"
] |
What is the solution to the long multiplication equation below?
58 x 95
Think step by step. | 5510 | [
"To solve the long multiplication problem \\(58 \\times 95\\), we will proceed step by step according to the standard algorithm of long multiplication.\n\n1. **Set Up the Problem:**\n \\[\n \\begin{array}{c @{}c @{}c}\n & 5 & 8 \\\\\n \\times & 9 & 5 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 58 by 5 ... | [
"The model output states the final answer as '5510' and provides a detailed step-by-step calculation that aligns with the standard long multiplication process for 58 x 95, resulting in 5510. The solution also confirms that the final answer is 5510. Therefore, the model output's final answer matches the solution pro... | [
"5510",
"5390",
"5510",
"5510",
"290 5220",
"5510"
] | [
"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
] | [
"58",
"95"
] |
What is the solution to the long multiplication equation below?
95 x 58
Think step by step. | 5510 | [
"To solve the long multiplication of 95 and 58, we'll perform it step by step:\n\n**Step 1: Multiply the ones place**\n95 x 8 = 760\n\n**Step 2: Multiply the tens place**\n95 x 5 = 475\nNow, add the result from Step 1 (760) to this:\n475 + 760 = 1235\n\n**Step 3: Add a zero to the result from Step 2**\n12350\n\n**S... | [
"The model output provides a detailed step-by-step calculation, ultimately concluding that the product of 95 and 58 is 12410. The solution given is 5510. Since 12410 does not match 5510, the output's final answer is incorrect. The reasoning process in the output is thorough, but the final computed value (12410) doe... | [
"12410",
"12410",
"5510",
"5330",
"12420",
"5510"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
true,
false,
false,
true
] | [
"58",
"95"
] |
What is the solution to the long multiplication equation below?
10 x 37
Think step by step. | 370 | [
"To solve the long multiplication equation $10 \\times 37$, you can break it down into two parts:\n\n1) Multiply 10 by 7: $10 \\times 7 = 70$\n2) Multiply 10 by 30 (which is the same as 3 times 10): $10 \\times 30 = 300$\n\nNow, add these two results together:\n\n$70 + 300 = 370$\n\nSo, the solution to $10 \\times ... | [
"The model output correctly breaks down the multiplication 10 x 37 into parts: 10 x 30 and 10 x 7, and sums them to get 370. It also confirms that 10 x 37 equals 370, which matches the solution provided. The final answer quoted is 370, which aligns with the solution.",
"The model output provides a detailed step-b... | [
"370",
"370",
"370",
"370",
"",
"370"
] | [
"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",
"37"
] |
What is the solution to the long multiplication equation below?
37 x 10
Think step by step. | 370 | [
"Certainly! Let's break down the multiplication step by step.\n\nWe are given the equation:\n\\[ 37 \\times 10 \\]\n\nStep 1: Understand the multiplication.\nThis is equivalent to multiplying 37 by 10.\n\nStep 2: Identify how to perform the multiplication.\nTo multiply any number by 10, you simply add a zero to the... | [
"The model output provides a detailed explanation confirming that 37 multiplied by 10 equals 370, including multiple methods such as adding a zero and decomposing 37 into 30 and 7. The final answer quoted is '370', which matches the solution provided. The reasoning is thorough and consistent with the solution.",
... | [
"370",
"370",
"370",
"370",
"370",
"370"
] | [
"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",
"37"
] |
What is the solution to the long multiplication equation below?
80 x 60
Think step by step. | 4800 | [
"To solve the long multiplication problem \\( 80 \\times 60 \\), we follow the steps for multiplying two numbers.\n\n1. **Write the numbers in a new arrangement:**\n \\[\n \\begin{array}{r}\n 80 \\\\\n \\times 60 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply the units digit of 80 by 0:**\n \\... | [
"The output states: 'So, the product of 80 × 60 is: 4800' and confirms this with multiple calculations, including breaking down the multiplication as (80 × 6) × 10, which equals 480 × 10 = 4800. The solution provided is 4800, matching the final answer in the output. Therefore, the output correctly computes the prod... | [
"4800",
"4800",
"4800",
"4800",
"",
""
] | [
"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
] | [
"60",
"80"
] |
What is the solution to the long multiplication equation below?
84 x 37
Think step by step. | 3108 | [
"To solve the long multiplication equation 84 x 37, we will follow these steps:\n\n1. Multiply 84 by 7 (the ones digit of 37):\n 84 x 7 = 588\n\n2. Multiply 84 by 30 (the tens digit of 37), remember to place a zero at the end:\n 84 x 30 = 2520\n\n3. Now, add the two results together:\n 588 + 2520 = 3108\n\nSo... | [
"The output correctly performs the multiplication steps: multiplying 84 by 7 to get 588, multiplying 84 by 30 to get 2520, and then adding these to get 3108. The final answer quoted is 3108, which matches the solution provided. The reasoning is consistent and correct.",
"The model output provides a step-by-step c... | [
"3108",
"3108",
"3048",
"3108",
"3108",
"3108"
] | [
"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
] | [
"37",
"84"
] |
What is the solution to the long multiplication equation below?
22 x 90
Think step by step. | 1980 | [
"To solve the long multiplication equation \\(22 \\times 90\\), you can break it down into simpler steps:\n\n### Step 1: Break the Long Multiplication into Smaller Tasks\n1. Multiply 22 by 0:\n \\[\n 22 \\times 0 = 0\n \\]\n\n2. Multiply 22 by 90, recognizing that 90 is the same as \\(9 \\times 10\\):\n \\[... | [
"The model output correctly breaks down the multiplication of 22 and 90 into steps: multiplying 22 by 9 to get 198, then multiplying by 10 to get 1980. It also correctly concludes that 22 times 90 equals 1980. The solution provided is 1980, which matches the final answer in the model output.",
"The model output d... | [
"1980",
"2002",
"(No explicit answer provided)",
"198",
"1980",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
false,
false,
true,
false
] | [
"22",
"90"
] |
What is the solution to the long multiplication equation below?
22 x 90
Think step by step. | 1980 | [
"To solve the long multiplication equation \\(22 \\times 90\\), you can break it down into simpler steps:\n\n### Step 1: Break the Long Multiplication into Smaller Tasks\n1. Multiply 22 by 0:\n \\[\n 22 \\times 0 = 0\n \\]\n\n2. Multiply 22 by 90, recognizing that 90 is the same as \\(9 \\times 10\\):\n \\[... | [
"The model output correctly breaks down the multiplication of 22 by 90 into steps: multiplying 22 by 9 to get 198, then multiplying by 10 to get 1980. It also correctly concludes that 22 times 90 equals 1980. The solution provided is 1980, matching the final answer in the model output.",
"The model output does no... | [
"1980",
"2002",
"",
"1980",
"1980",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
false,
true,
true,
false
] | [
"22",
"90"
] |
What is the solution to the long multiplication equation below?
68 x 43
Think step by step. | 2924 | [
"To solve the long multiplication equation \\( 68 \\times 43 \\), we can break it down into smaller steps as follows:\n\n### Step 1: Multiply 68 by 3 (the ones digit of 43).\n\\[ 68 \\times 3 = 204 \\]\n\n### Step 2: Multiply 68 by 40 (the tens digit of 43, because we are carrying over the 3 from the previous step)... | [
"The model output provides a detailed step-by-step explanation of multiplying 68 by 43, including breaking down the multiplication into parts, summing the partial products, and confirming the final answer. It explicitly states that the solution to 68 x 43 is 2924, matching the solution provided. The reasoning confi... | [
"2924",
"",
"2924",
"2924",
"2924",
"2924"
] | [
"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
] | [
"43",
"68"
] |
What is the solution to the long multiplication equation below?
17 x 46
Think step by step. | 782 | [
"To solve the long multiplication equation \\(17 \\times 46\\), follow these steps:\n\n1. **Set up the multiplication vertically:**\n ```\n 17\n x 46\n ```\n\n2. **Multiply 17 by the ones digit of 46 (which is 6):**\n ```\n 17\n x 46\n -102\n ```\n (Multiply 17 by 6 to get 102, write down 2... | [
"The output provides a detailed step-by-step explanation of multiplying 17 by 46, ultimately concluding that the product is 782. The solution states that 17 x 46 = 782, which matches the final answer given in the explanation. The reasoning correctly breaks down the multiplication into parts and sums them to arrive ... | [
"782",
"782",
"Wait, how?",
"782",
"782",
"782"
] | [
"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
] | [
"17",
"46"
] |
What is the solution to the long multiplication equation below?
46 x 17
Think step by step. | 782 | [
"To solve the multiplication problem \\(46 \\times 17\\) by long multiplication, let's break it down step-by-step:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{c@{}c@{}c}\n & 4 & 6 \\\\\n \\times & 1 & 7 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 46 by 7 (the units digit of 17):**\n\n... | [
"The model output provides a detailed step-by-step solution for multiplying 46 by 17, concluding with the answer 782. It also cross-verifies the calculation using different methods, all confirming that the product is 782. The solution matches the provided answer in the solution section, which is 782.",
"The model... | [
"782",
"782",
"",
"782",
"798",
"782"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
false,
true,
false,
true
] | [
"17",
"46"
] |
What is the solution to the long multiplication equation below?
32 x 36
Think step by step. | 1152 | [
"Certainly! To solve the multiplication problem \\( \\boxed{32 \\times 36} \\), we follow these steps:\n\nStep 1: Write down the numbers one on the other, like this:\n\n```\n 32\n x 36\n ----\n```\n\nStep 2: Multiply 32 by 6:\n\n```\n 32\n x 36\n ----\n 192 (32 * 6 = 192)\n```\n\nWe go straight to... | [
"The output provides a detailed step-by-step multiplication process, ultimately arriving at the answer 1152, which matches the solution provided. The reasoning confirms that the final answer in the output is 1152, consistent with the solution.",
"The model output states that the correct multi-step result is 1152,... | [
"1152",
"1152",
"1152",
"1152",
"1152",
"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,
true,
false
] | [
"32",
"36"
] |
What is the solution to the long multiplication equation below?
36 x 32
Think step by step. | 1152 | [
"To solve the long multiplication equation \\(36 \\times 32\\), follow these steps:\n\n1. **Set up the multiplication**: Write 36 under the problem and 32 outside, adjacent to 36.\n\n```\n 36\nx 32\n-------\n```\n\n2. **Multiply below the line**: Begin by multiplying the digit in the units place of 36 by 2 (the s... | [
"The output provides a detailed step-by-step explanation of multiplying 36 by 32, including setting up the problem, multiplying individual digits, and summing partial products. It concludes with the answer '1152', which matches the solution provided. The reasoning process is thorough and correctly arrives at the fi... | [
"1152",
"1152",
"1152",
"1152",
"1152",
"1152"
] | [
"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
] | [
"32",
"36"
] |
What is the solution to the long multiplication equation below?
15 x 17
Think step by step. | 255 | [
"To solve the multiplication problem 15 x 17 step by step, follow these steps:\n\n1. **Breakdown the numbers into smaller parts**: We can use the distributive property of multiplication.\n2. **Express 17 as the sum of two numbers**: \n \\[\n 17 = 10 + 7\n \\]\n\n3. **Apply the distributive property**:\n \\[... | [
"The output provides a detailed step-by-step explanation of multiplying 15 by 17, including using the distributive property and long multiplication, and concludes with the answer 255. The solution given is also 255. The reasoning in the output matches the solution, and the final answer in the output is 255, which m... | [
"255",
"255",
"255",
"255",
"",
"255"
] | [
"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
] | [
"15",
"17"
] |
What is the solution to the long multiplication equation below?
81 x 48
Think step by step. | 3888 | [
"Certainly! Let's solve the long multiplication equation \\( 81 \\times 48 \\) step by step.\n\n### Step 1: Set up the multiplication.\nWe write the numbers vertically, aligning the digits by place value:\n\n```\n 81\n× 48\n-----\n```\n\n### Step 2: Multiply 81 by 8.\nPlace 81 over 8:\n\n```\n 81\n× 48\n-----\n... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 81 × 48, ultimately arriving at the answer 4088. The solution matches the standard long multiplication process, and the final answer quoted is 4088.",
"The output states that the solution to 81 x 48 is 4888, which is derived... | [
"4088",
"4888",
"4088",
"4888",
"4088",
"4088"
] | [
"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
] | [
"48",
"81"
] |
What is the solution to the long multiplication equation below?
81 x 48
Think step by step. | 3888 | [
"Certainly! Let's solve the long multiplication equation \\( 81 \\times 48 \\) step by step.\n\n### Step 1: Set up the multiplication.\nWe write the numbers vertically, aligning the digits by place value:\n\n```\n 81\n× 48\n-----\n```\n\n### Step 2: Multiply 81 by 8.\nPlace 81 over 8:\n\n```\n 81\n× 48\n-----\n... | [
"The model output provides a detailed step-by-step solution to multiply 81 by 48, resulting in 4088. The solution matches the final answer given in the solution section, which is 3888. Since the model's final computed answer is 4088, but the provided solution states 3888, there is a discrepancy. The model's reasoni... | [
"4088",
"4888",
"4088",
"4888",
"4088",
"4088"
] | [
"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",
"81"
] |
What is the solution to the long multiplication equation below?
48 x 81
Think step by step. | 3888 | [
"To calculate \\( 48 \\times 81 \\), let's break it down into simpler multiplications, recognizing 81 as 80 + 1 and then modifying the result later.\n\n1) Let's first solve \\( 48 \\times 80 \\):\n \\[\n 48 \\times 80 = 48 \\times (8 \\times 10) = (48 \\times 8) \\times 10\n \\]\n Now calculate \\( 48 \\tim... | [
"The output provides a detailed step-by-step calculation of 48 multiplied by 81, breaking it down into 48 times 80 plus 48 times 1, resulting in 3840 + 48 = 3888. The final answer quoted is '3888', which matches the solution provided. The reasoning is consistent and correctly computes the multiplication, leading to... | [
"3888",
"3888",
"2000",
"3888",
"3888",
"3888"
] | [
"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",
"81"
] |
What is the solution to the long multiplication equation below?
90 x 60
Think step by step. | 5400 | [
"To solve the multiplication problem \\( 90 \\times 60 \\), follow these steps:\n\n1. **Break down the numbers**:\n \\[\n 90 = 9 \\times 10 \\\\\n 60 = 6 \\times 10\n \\]\n \n2. **Multiply the base numbers**:\n \\[\n 9 \\times 6 = 54\n \\]\n\n3. **Multiply the powers of 10**:\n \\[\n 10 \\times ... | [
"The output states the answer as 154, which is obtained by adding 54 and 100, but this is incorrect for multiplication. The correct multiplication of 90 and 60 is 5400, as shown by the standard multiplication process. The output's reasoning is flawed because it incorrectly adds 54 and 100 instead of multiplying 90 ... | [
"154",
"Wait, how?",
"5400",
"3600",
"154",
"Wait, how?"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
true,
false,
false,
false
] | [
"60",
"90"
] |
What is the solution to the long multiplication equation below?
60 x 90
Think step by step. | 5400 | [
"To solve the long multiplication equation \\(60 \\times 90\\), follow these steps:\n\n1. **Set up the multiplication vertically**:\n```\n 60\n × 90\n```\n\n2. **Multiply the units digit of the factor (9) by the multiplier (60)**:\n - Units digit of 60: 0\n - \\(0 \\times 60 = 0\\)\n\n Write this result b... | [
"The output provides a detailed step-by-step explanation of multiplying 60 by 90, including the setup, partial products, and verification. It concludes that the product is 5400, matching the solution provided. The reasoning confirms that the final answer in the output is 5400, which aligns with the solution.",
"T... | [
"5400",
"5400",
"5400",
"",
"",
"5400"
] | [
"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
] | [
"60",
"90"
] |
What is the solution to the long multiplication equation below?
22 x 13
Think step by step. | 286 | [
"To solve (22 times 13) using long multiplication:\n\n1. Write down the numbers one below the other, aligning the digits:\n\n```\n 13\n x 22\n------\n```\n\n2. Multiply each digit in 13 by 2:\n\n```\n 13\n x 22\n------\n 26 (13 * 2 in the ones place)\n------\n```\n\n3. Multiply each digit in 13 by 2... | [
"The model output attempts to perform long multiplication of 22 and 13, but the explanation is inconsistent and contains errors, such as multiplying 13 by 2 instead of 22, and the partial calculations are confusing. The final answer provided is '260', but the model's reasoning suggests a miscalculation, and the cor... | [
"260",
"600",
"",
"286",
"312",
"260ens"
] | [
"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
] | [
"13",
"22"
] |
What is the solution to the long multiplication equation below?
13 x 22
Think step by step. | 286 | [
"To solve the long multiplication equation \\(13 \\times 22\\), we will use the standard method of multiplication, which involves multiplying each digit of the first number by each digit of the second number, then adding the results together, aligned by place value.\n\nStep 1: Break down the multiplication into sma... | [
"The output concludes that the product of 13 and 22 is 286, matching the solution provided. The reasoning process in the output involves step-by-step multiplication and verification, ultimately arriving at 286. The final answer quoted is '286', which aligns with the solution.",
"The model output does not explicit... | [
"286",
"286",
"286",
"(No explicit final answer provided in the output)",
"286",
"286"
] | [
"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
] | [
"13",
"22"
] |
What is the solution to the long multiplication equation below?
60 x 75
Think step by step. | 4500 | [
"To solve the long multiplication \\(60 \\times 75\\), we can use the standard multiplication algorithm. Let's break it down step by step:\n\n1. **Multiply 60 by 5 (the units digit of 75):**\n \\[\n 60 \\times 5 = 300\n \\]\n\n2. **Multiply 60 by 0 (the tens digit of 75, i.e., 70):**\n \\[\n 60 \\times 0 ... | [
"The output provides a detailed step-by-step calculation of 60 multiplied by 75, ultimately concluding with the answer 42300. The solution states that the answer is 4500, which does not match the final calculated value in the output. Therefore, the output's final answer is 42300, but the solution's answer is 4500. ... | [
"42300",
"42300",
"4500",
"42300",
"720",
"42300"
] | [
"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
] | [
"60",
"75"
] |
What is the solution to the long multiplication equation below?
62 x 97
Think step by step. | 6014 | [
"Step 1: Multiply the first digit of the multiplicand by the multiplicator.\n6 x 9 = 54\n\nStep 2: Multiply the next digit of the multiplicand by the multiplicator and add the previous result.\n7 x 9 = 63\n63 + 54 = 117\n\nStep 3: Multiply the next digit of the multiplicand by the multiplicator and add the previous... | [
"The model output provides a step-by-step calculation resulting in the answer '177', then attempts to verify the multiplication of 62 and 97, ultimately concluding the correct answer is '6094'. The initial steps are inconsistent with the actual multiplication, and the final verified answer '6094' matches the soluti... | [
"6094",
"177",
"6114",
"6,004",
"6014",
"6014"
] | [
"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
] | [
"62",
"97"
] |
What is the solution to the long multiplication equation below?
38 x 83
Think step by step. | 3154 | [
"Certainly! Let's solve the long multiplication problem step by step.\n\n### Step-by-Step Solution:\n\n1. **Write the numbers vertically and align the ones place:**\n\n \\[\n \\begin{array}{@{}c@{}@{}c@{}@{}c@{}}\n 38 & \\times 83 & \\\\\n & & \\downarrow\\\\\n \\end{array}\n \\]\n\n2. **Multiply... | [
"The model output provides a detailed step-by-step solution, including multiplying 38 by 3 to get 114, multiplying 38 by 8 to get 304, shifting it to 3040, and then adding 114 and 3040 to get 3154. The final answer quoted is '3154', which matches the solution provided. The reasoning confirms that the output's final... | [
"3154",
"3154",
"3154",
"The model output does not contain a numerical answer.",
"3154",
"3154"
] | [
"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
] | [
"38",
"83"
] |
What is the solution to the long multiplication equation below?
38 x 83
Think step by step. | 3154 | [
"Certainly! Let's solve the long multiplication problem step by step.\n\n### Step-by-Step Solution:\n\n1. **Write the numbers vertically and align the ones place:**\n\n \\[\n \\begin{array}{@{}c@{}@{}c@{}@{}c@{}}\n 38 & \\times 83 & \\\\\n & & \\downarrow\\\\\n \\end{array}\n \\]\n\n2. **Multiply... | [
"The model output provides a detailed step-by-step solution that concludes with the answer 3154. The solution section also states the answer as 3154. Since the model's final answer matches the solution's answer, and the reasoning process is correct, the output appears to be correct.",
"The output confirms the fin... | [
"3154",
"3154",
"3154",
"The model output does not contain a numerical answer.",
"3154",
"3154"
] | [
"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
] | [
"38",
"83"
] |
What is the solution to the long multiplication equation below?
38 x 83
Think step by step. | 3154 | [
"Certainly! Let's solve the long multiplication problem step by step.\n\n### Step-by-Step Solution:\n\n1. **Write the numbers vertically and align the ones place:**\n\n \\[\n \\begin{array}{@{}c@{}@{}c@{}@{}c@{}}\n 38 & \\times 83 & \\\\\n & & \\downarrow\\\\\n \\end{array}\n \\]\n\n2. **Multiply... | [
"The model output provides a detailed step-by-step solution that concludes with the answer 3154. The solution section also states the answer as 3154. Since the model's final answer matches the solution's answer, and the reasoning in the output aligns with the solution, the output appears correct.",
"The output co... | [
"3154",
"3154",
"3154",
"No numerical answer provided.",
"3154",
"3154"
] | [
"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
] | [
"38",
"83"
] |
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