question string | solution string | model_responses sequence | is_model_response_correct__correctness_reasoning sequence | is_model_response_correct__final_answer sequence | is_model_response_correct__correctness_prompt sequence | is_model_response_correct sequence |
|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
46 x 48
Think step by step. | 2208 | [
"To solve the long multiplication equation \\( 46 \\times 48 \\) step by step, follow these steps:\n\n1. **Multiply 46 by 8 (the units digit of 48):**\n\n \\[\n 46 \\times 8 = 368\n \\]\n\n Write down 368.\n\n2. **Multiply 46 by 4 (the tens digit of 48), and place the result two places to the left:**\n\n ... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, ending with the final answer '2208'. The solution matches the provided solution '2208'. The reasoning in the output correctly follows the steps of long multiplication and arrives at the same final answer, confirming correctne... | [
"2208",
"2208",
"2208",
"22080",
"2316",
"2208"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
88 x 71
Think step by step. | 6248 | [
"To solve \\( 88 \\times 71 \\), you can use the standard long multiplication method. \n\nHere's a step-by-step breakdown:\n\n1. **Break down multiplication**:\n \\[\n 88 \\times 71 = 88 \\times (70 + 1)\n \\]\n\n2. **Distribute**:\n \\[\n 88 \\times 71 = (88 \\times 70) + (88 \\times 1)\n \\]\n\n3. **C... | [
"The output states 'Thus, the solution to 88 x 71 is **6248**.' The solution provided in the prompt is also 6248, which matches the output. The reasoning in the output correctly computes the product step by step, confirming the answer.",
"The model output quotes the calculation '88 \times 71 = 6248' and states th... | [
"6248",
"6248",
"6248",
"6248",
"6248",
"6248"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
76 x 32
Think step by step. | 2432 | [
"To solve the long multiplication equation \\( 76 \\times 32 \\), we'll follow the steps of the long multiplication method. \n\n1. **Break down the numbers**: \n - \\( 76 \\) can be broken down into \\( 70 \\) (tens place) and \\( 6 \\) (ones place).\n - \\( 32 \\) can be broken down into \\( 30 \\) (tens place... | [
"The model output provides a detailed step-by-step explanation of multiplying 76 by 32, breaking down the numbers, multiplying each part, and summing the results. The final answer given is 2432, which matches the solution provided. The reasoning aligns with the solution, and the final answer is explicitly stated as... | [
"2432",
"4992",
"2432",
"2432",
"2432",
"2432"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
true,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
42 x 50
Think step by step. | 2100 | [
"To solve the long multiplication problem \\(42 \\times 50\\), we can follow these steps:\n\n1. **Write down the numbers:**\n ```\n 42\n × 50\n ```\n\n2. **Multiply the units digit of the bottom number by each digit of the top number:**\n - Multiply \\(2\\) (the units digit of \\(42\\)) by \\(0\\):\n ... | [
"The model output provides a detailed step-by-step explanation of multiplying 42 by 50, including partial calculations and the final answer. It concludes with 'The final result is 2100. Therefore, the solution to 42 × 50 is 2100.' The solution given is 2100, which matches the final answer in the output.",
"The mo... | [
"2100",
"2100",
"2100",
"2100",
"2100",
"2100"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
33 x 97
Think step by step. | 3201 | [
"Step 1: Multiply the ones digit of the first number by the ones digit of the second number.\n 3 x 7 = 21\n\n Step 2: Now multiply the tens digit of the first number by the ones digit of the second number. \n 3 x 7 = 21\n Since these are both two-digit numbers, we need to add a zero to one of the products... | [
"The model output concludes that the solution to 33 x 97 is 3141, which it states explicitly at the end. The provided solution states the answer as 3201. Since the model's final answer does not match the solution, the correctness depends on whether 3141 is correct for 33 x 97. Calculating 33 x 97: 33 x 97 = (30 + 3... | [
"3141",
"3141",
"3141",
"3141",
"3141",
"441"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
41 x 57
Think step by step. | 2337 | [
"To solve the long multiplication equation 41 x 57, follow these steps:\n\n1. Multiply 41 by 7 (the ones digit of 57):\n 41 x 7 = 287\n Write 7 and carry the 2 to the next column.\n\n2. Multiply 41 by 5 (the ten's digit of 57), and then add the carry-over:\n 41 x 5 = 205\n Add the carry 2: 205 + 2 = 207\n ... | [
"The solution provided in the answer is 2387, which is obtained by the detailed step-by-step multiplication process. The original solution states the answer as 2337, which does not match the computed result. Therefore, the final answer in the output (2387) is correct according to the step-by-step calculation, but i... | [
"2387",
"2387",
"2387",
"2387",
"2387",
"2387"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
48 x 92
Think step by step. | 4416 | [
"To solve the multiplication problem \\(48 \\times 92\\) using the long multiplication method, follow these steps:\n\n1. Multiply 92 by 8:\n \\[\n 92 \\times 8 = 736\n \\]\n Write this down as the first part of the solution.\n\n2. Multiply 92 by 4 (and shift one position to the left, adding a 0 in the proce... | [
"The model output correctly performs the long multiplication steps: multiplying 92 by 8 to get 736, multiplying 92 by 4 to get 368, shifting it to 3680, and then adding 736 and 3680 to get 4416. The final answer provided is 4416, which matches the solution.",
"The model output provides a step-by-step multiplicati... | [
"4416",
"4416",
"8832",
"4416",
"4416",
"4416"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
false,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
41 x 50
Think step by step. | 2050 | [
"Step 1: First, let's write out the multiplication problem clearly:\n 41\n × 50\n ----\n\nStep 2: We need to multiply 41 by 5. To do this step by step:\n a) Multiply the units column: 1 x 5 = 5\n b) Multiply the tens column, remembering to shift one place to the left: 4 x 5 = 20, add the carry from step... | [
"The model output concludes that the product of 41 and 50 is 205, based on the calculation steps provided. The solution states the answer as 2050, which is different from the model's final answer. Therefore, the model's final answer does not match the solution.",
"The model output states 'So the actual solution i... | [
"205",
"2050",
"2050",
"",
"205",
"2255"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
true,
true,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
95 x 40
Think step by step. | 3800 | [
"To solve the long multiplication equation \\(95 \\times 40\\), we will use the standard algorithm for multiplication, where we first multiply the number by the ones digit of the other number, then by the tens digit, and finally add the results together. Let's break it down step by step:\n\n1. **Multiply 95 by 0:**... | [
"The output provides a detailed step-by-step explanation of multiplying 95 by 40, including breaking down 40 into 4 times 10, calculating 95 times 4 as 380, then multiplying by 10 to get 3800, and finally confirming the answer as 3800. The final answer quoted in the output is '3800', which matches the solution prov... | [
"3800",
"3800",
"3800",
"380",
"The output does not contain a numerical answer to the multiplication problem 95 x 40.",
"3800"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
24 x 90
Think step by step. | 2160 | [
"To solve \\( 24 \\times 90 \\) through long multiplication:\n\nStep 1: Break down the multiplication into simpler parts.\n\n- Multiply 24 by 9. (This is the outermost step.)\n- Multiply 24 by \\(0\\) (this is easier because it just involves carrying over zeros). \n\nStep 2: Perform the multiplication:\n\n1. Multip... | [
"The model output correctly performs the multiplication of 24 by 90, breaking it down into steps and arriving at the product 2160, which matches the solution provided. The reasoning is consistent and the final answer is explicitly stated as 2160.",
"The model output does not explicitly state the final answer, but... | [
"2160",
"2160",
"2160",
"2160",
"",
"2160"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
61 x 55
Think step by step. | 3355 | [
"To solve the multiplication problem 61 x 55, you can think of it as breaking it down into smaller, easier parts. Here's a step-by-step approach:\n\n1. **Consider 61 as 60 + 1:**\n - This makes the problem easier to solve because you can multiply simpler numbers together and then add the results.\n\n2. **Multiply... | [
"The model output provides a detailed step-by-step explanation of multiplying 61 by 55, breaking it down into parts and calculating the intermediate steps. The final answer given in the explanation is 3355, which matches the solution provided. The parsed final answer is '3355', and since it matches the solution, th... | [
"3355",
"3355",
"",
"3355",
"3355",
"3355"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
false,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
50 x 26
Think step by step. | 1300 | [
"To solve the long multiplication problem involving \\(50 \\times 26\\):\n\n1. Write the numbers vertically (base 10):\n \\[\n \\begin{array}{r}\n 50 \\\\\n \\times \\ 26 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. Multiply 50 by 6:\n \\[\n 50 \\times 6 = 300\n \\]\n Write 300 below 50.\n\n3. ... | [
"The solution states that the answer is 1300, but the model output calculates the product as 400. Since the model output's calculation is correct, and the solution's answer (1300) does not match the actual product, the output is incorrect.",
"The model output discusses a misunderstanding in the problem statement ... | [
"400",
"400",
"No direct answer provided.",
"400",
"400",
"400"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
28 x 27
Think step by step. | 756 | [
"To solve the long multiplication problem 28 x 27, we will follow these steps:\n\n### Step 1: Set up the multiplication vertically.\n```\n 28\n × 27\n ------\n```\n\n### Step 2: Multiply 28 by 7 (the units digit of 27).\n```\n 28\n × 27\n ------\n 196 (28 x 7 = 196)\n```\n\n### Step 3: Multi... | [
"The solution provided in the solution section is 756, but the model output calculates the product as 4628. Since the model output's final answer is 4628, which does not match the solution's answer of 756, the output is incorrect.",
"The output states that the solution to 28 x 27 is 4628, which is different from ... | [
"4628",
"4628",
"4628",
"(No explicit final answer provided)",
"756",
"4628"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
true,
false
] |
What is the solution to the long multiplication equation below?
11 x 81
Think step by step. | 891 | [
"To solve this, you multiply 11 by 81 step by step.\nFirst, multiply 11 by 1, which is 11.\nThen, multiply 11 by 8 (and remember you're counting forward by 10 times since it's in the next place after tens), which is 88.\nFinally, add the two results together: 11 + 88 = 99.\nSo, the solution to the long multiplicati... | [
"The model output states that the final answer is 99, which is obtained by adding 11 and 88, the partial products of multiplying 11 by 1 and 8 respectively. However, the solution provided is 891, which is the correct product of 11 and 81. Therefore, the model's final answer does not match the solution.",
"The sol... | [
"99",
"99",
"99",
"99",
"",
"891"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
true
] |
What is the solution to the long multiplication equation below?
47 x 55
Think step by step. | 2585 | [
"To solve the multiplication problem 47 x 55, we can break it down into smaller steps by using the distributive property of multiplication over addition. Specifically, we can express 55 as the sum of 50 and 5:\n\n\\[\n47 \\times 55 = 47 \\times (50 + 5)\n\\]\n\nNow, we distribute 47 to both 50 and 5:\n\n\\[\n47 \\t... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 47 x 55, ending with the final answer 2585. The solution matches the provided answer in the solution section, which is 2585. The reasoning in the output correctly applies the distributive property and performs the calculations... | [
"2585",
"2585",
"2585",
"2585",
"2585",
"2585"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
59 x 40
Think step by step. | 2360 | [
"To solve the problem of multiplying 59 by 40, follow these steps:\n\n1. Multiply the digits without considering any carry: \n \\[\n 59 \\times 4 = 236\n \\]\n \n2. Write this product down as the first part of the answer:\n \\[\n 236\n \\]\n\n3. Bring down a zero because we are actually multiplying 59... | [
"The solution states that the product of 59 and 40 is 2360, which is correct. The model output, however, provides a detailed step-by-step process that ultimately concludes the product is 23836, which is incorrect. The key part of the output is the final answer: '23836'. Since the solution's answer is 2360, and the ... | [
"23836",
"23,836",
"2384",
"2340",
"No answer provided",
"236"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
12 x 47
Think step by step. | 564 | [
"To find the product of 12 and 47, we can approach this step by step as follows:\n\n1. We'll start with the larger number, 47, as it's easier to multiply by the 10s digit of 12.\n \n2. Multiply 12 by 7 (the last digit of 47).\n\n 12 x 7 = 84\n\n3. Now, correctly multiplying 12 by the tens digit of 47 (which is ... | [
"The output states that the product of 12 and 47 is 132, which is incorrect according to the provided solution of 564. The reasoning in the output shows a miscalculation, as multiplying 12 by 7 gives 84, and 12 by 4 gives 48, which when added results in 132, not 564. Therefore, the final answer in the output does n... | [
"132",
"(No final answer provided)",
"132",
"564",
"564",
"564"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
43 x 66
Think step by step. | 2838 | [
"To solve the long multiplication problem \\(43 \\times 66\\), follow these steps:\n\n1. Set up the multiplication vertically, aligning the digits as follows:\n\n 43\n x 66\n -----\n\n\n2. Multiply the number 43 by the units digit of 66 (which is 6), write the result below:\n\n 43\n x 66\n ... | [
"The model output correctly performs the long multiplication step by step, multiplying 43 by 6 to get 258, then multiplying 43 by 60 to get 2580, and summing these to get 2838. The final answer quoted is '2838', which matches the solution provided. Therefore, the output is correct.",
"The model output does not pr... | [
"2838",
"No answer provided",
"2838",
"2838",
"2838",
"2838"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
false,
true,
true,
true
] |
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