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?
18 x 33
Think step by step. | 594 | [
"Step 1: Multiply the ones digit of the first number (1) by the ones digit of the second number (3). This gives us 3.\n\n1 × 3 = 3\n\nStep 2: Multiply the tens digit of the first number (1) by the ones digit of the second number (3), then shift the result one place to the left (because we're in the tens place).\n\n... | [
"The output provides a step-by-step multiplication process and concludes with the answer 570. The solution given is 594, which does not match the output's final answer. Therefore, the output's final answer is incorrect with respect to the solution.",
"The model output concludes that the product of 18 and 33 is 57... | [
"570",
"570",
"5700",
"660",
"594",
"570"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
true,
false
] | [
"18",
"33"
] |
What is the solution to the long multiplication equation below?
86 x 82
Think step by step. | 7052 | [
"To solve the long multiplication of 86 x 82, we will perform a series of multiplications starting from the rightmost digits, carrying over any values into the next place value when necessary. Here's the step-by-step process:\n\n1. Multiply 8 (the rightmost digit of the first number) by 2 (the rightmost digit of th... | [
"The model output provides a detailed step-by-step multiplication process, but the final computed answer is 7026, which differs from the solution provided (7052). The reasoning steps are consistent with the multiplication process, but the final answer does not match the solution. Therefore, the output's final answe... | [
"7026",
"The model output does not contain a numerical answer.",
"",
"7052",
"7052",
"7026"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
true,
true,
false
] | [
"82",
"86"
] |
What is the solution to the long multiplication equation below?
23 x 29
Think step by step. | 667 | [
"Step 1: Multiply the units digit of the first number by the units digit of the second number.\nThe units digit of 23 is 3, and the units digit of 29 is 9, so 3 x 9 = 27.\n\nStep 2: Multiply the tens digit of the first number by the units digit of the second number.\nThe tens digit of 23 is 2, and the units digit o... | [
"The model's output concludes that the answer is 657, which is different from the provided solution of 667. The reasoning steps in the output are about partial multiplications and their sums, but the calculations and the final answer do not match the actual multiplication of 23 and 29. Therefore, the final answer i... | [
"657",
"",
"657",
"657",
"327",
"657"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"23",
"29"
] |
What is the solution to the long multiplication equation below?
42 x 57
Think step by step. | 2394 | [
"To solve the long multiplication equation \\( 42 \\times 57 \\), follow these steps:\n\n### Step 1: Set up the multiplication as a standard grid (array).\n\\[\n\\begin{array}{c|cc}\n & 4 & 2 \\\\\n\\hline\n 5 & 7 \\\\\n\\end{array}\n\\]\n\n### Step 2: Multiply the ones digit of the bottom number by each digit of ... | [
"The model output provides a detailed step-by-step explanation of multiplying 42 by 57, including intermediate calculations and the final result. It correctly computes 42 x 57 as 462, which matches the solution provided (2394). However, there is a discrepancy: the final answer in the solution is 2394, but the model... | [
"462",
"462",
"",
"462",
"No answer provided",
"238"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"42",
"57"
] |
What is the solution to the long multiplication equation below?
57 x 42
Think step by step. | 2394 | [
"To solve the long multiplication equation $57 \\times 42$, follow these steps:\n\n1. Write the numbers vertically, aligning the digits by place value:\n ```\n 57\n x 42\n ```\n\n2. Multiply 57 by the ones digit of 42, which is 2:\n ```\n 57\n x 42\n -----\n 114 (57 x 2)\n 2280 (57 x 40, shif... | [
"The model output provides a detailed step-by-step calculation of 57 multiplied by 42, including partial products and their sum. It concludes with the final answer as 23134. The solution states that the correct answer is 2394, which does not match the model's final computed value. Therefore, the model's final answe... | [
"23134",
"23134",
"",
"",
"No answer provided",
"The output does not contain the answer '2394' or any equivalent, so it does not match the solution."
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"42",
"57"
] |
What is the solution to the long multiplication equation below?
68 x 17
Think step by step. | 1156 | [
"To solve the long multiplication equation \\(68 \\times 17\\), follow these steps:\n\nStep 1: Set up the multiplication vertically, aligning the digits as follows:\n\n```\n 68\n × 17\n------\n```\n\nStep 2: Multiply 68 by 7 (the units digit of 17):\n\n ```\n 56\n 68 × 7\n ------\n```\n\nStep 3:.... | [
"The model output contains a lengthy, incomplete, and nonsensical sequence of repeated 'errors = None' statements, with no clear calculation steps or final answer provided. The only relevant part is the last sentence, which states: 'The solution to the multiplication problem 68 x 17 is 1166.' Since the solution giv... | [
"1166",
"",
"1166",
"1166",
"1156",
"1166"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"17",
"68"
] |
What is the solution to the long multiplication equation below?
82 x 57
Think step by step. | 4674 | [
"To solve the long multiplication equation \\(82 \\times 57\\), you can break it down into simpler steps by using the distributive property. Here’s how you can do it:\n\n1. Write 82 as 80 + 2.\n2. Multiply 2 by 57 to get 114.\n3. Multiply 80 by 57. You can simplify this by using the distributive property: \n - 8... | [
"The output provides a detailed step-by-step solution to the multiplication problem, breaking down 82 into 80 + 2, multiplying each part by 57, and then adding the results to get 4674. The final answer given is 4674, which matches the solution provided. The reasoning is consistent and correctly follows the multipli... | [
"4674",
"4674",
"4674",
"4674",
"4674",
"4788"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"57",
"82"
] |
What is the solution to the long multiplication equation below?
34 x 42
Think step by step. | 1428 | [
"To solve the multiplication problem \\( 34 \\times 42 \\), let's break it down step by step.\n\nFirst, we write the numbers in a vertical format to make it easier to(reference) apply the distributive property. The distributive property allows us to break down the multiplication into smaller, more manageable parts:... | [
"The model output correctly breaks down the multiplication using the distributive property, calculates each part accurately, and sums the results to arrive at 1428. The solution matches the provided answer, and the reasoning is correct.",
"The output states 'So the correct final answer is 1428', which matches the... | [
"1428",
"1428",
"1428",
"1428",
"2620",
"1428"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"34",
"42"
] |
What is the solution to the long multiplication equation below?
42 x 34
Think step by step. | 1428 | [
"To solve the long multiplication equation 42 x 34, we follow the steps below:\n\n1. Multiply 42 by 4 (the ones digit of 34). This gives us 168.\n2. Multiply 42 by 30 (the tens digit of 34). This gives us 1260.\n3. Add these two results together. The sum is 168 + 1260 = 1428.\n\nTherefore, the solution to the equat... | [
"The model output provides a step-by-step calculation: multiplying 42 by 4 to get 168, multiplying 42 by 30 to get 1260, and then adding these to get 1428. It concludes that the solution to 42 x 34 is 1428, which matches the given solution. The reasoning is consistent and correctly follows the steps of long multipl... | [
"1428",
"1428",
"1428",
"1428",
"1848",
"1428"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"34",
"42"
] |
What is the solution to the long multiplication equation below?
66 x 26
Think step by step. | 1716 | [
"To solve the long multiplication equation \\( 66 \\times 26 \\), follow these steps:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 66 \\\\\n \\times 26 \\\\\n \\end{array}\n \\]\n\n2. **Break down the problem:**\n\n \\( 66 \\times 26 \\) can be seen as \\( 66 \\times (20 + 6) \... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, culminating in the final answer '1716'. The solution matches the final answer provided in the solution section, which is also '1716'. Therefore, the output correctly reproduces the solution's final answer.",
"The model outp... | [
"1716",
"1716",
"1716",
"1716",
"shooting stars",
"1716"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"26",
"66"
] |
What is the solution to the long multiplication equation below?
66 x 26
Think step by step. | 1716 | [
"To solve the long multiplication equation \\( 66 \\times 26 \\), follow these steps:\n\n1. **Set up the multiplication:**\n\n \\[\n \\begin{array}{r}\n 66 \\\\\n \\times 26 \\\\\n \\end{array}\n \\]\n\n2. **Break down the problem:**\n\n \\( 66 \\times 26 \\) can be seen as \\( 66 \\times (20 + 6) \... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, culminating in the final answer '1716'. The solution matches the answer given in the 'Solution' section, which is also '1716'. The reasoning in the output correctly applies the distributive property and performs the calculati... | [
"1716",
"1716",
"1716",
"1716",
"shooting stars",
"1716"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"26",
"66"
] |
What is the solution to the long multiplication equation below?
57 x 24
Think step by step. | 1368 | [
"To solve the multiplication problem \\(57 \\times 24\\) step by step, we first break it down as follows:\n\nStep 1: Multiply 24 by the units digit of 57, which is 7.\n\n\\[24 \\times 7 = 168\\]\n\nStep 2: Multiply 24 by the tens digit of 57, which is 5, and remember to shift the result one position to the left (be... | [
"The model's output attempts to perform step-by-step multiplication of 57 and 24, but it contains errors. It correctly computes 24 x 7 = 168, and 24 x 5 = 120, but then it incorrectly states 'adding it to 168 from Step 1' and concludes the final answer as 1416. The correct approach would be to multiply 57 by 24 dir... | [
"1416",
"1416",
"",
"1416",
"1368",
"1418"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"24",
"57"
] |
What is the solution to the long multiplication equation below?
88 x 10
Think step by step. | 880 | [
"To solve the long multiplication equation \\( 88 \\times 10 \\), we can follow these steps:\n\n1. **Understand the problem**: We need to multiply the number 88 by 10.\n\n2. **Recall the properties of multiplication**: When you multiply a number by 10, you simply add a zero to the end of that number.\n\n3. **Perfor... | [
"The model output explicitly states the solution as 'the solution is 880' and confirms the multiplication process leading to 880. It correctly interprets that multiplying 88 by 10 results in 880, matching the provided solution.",
"The model output does not contain a clear answer or calculation related to the ques... | [
"880",
"",
"",
"No numerical answer provided",
"880",
"880"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"10",
"88"
] |
What is the solution to the long multiplication equation below?
84 x 23
Think step by step. | 1932 | [
"To solve the long multiplication problem 84 x 23, we will multiply each digit of 23 by each digit of 84, and then add the results together.\n\nStep 1: Multiply 20 (the tens digit of 23) by 84.\n - 20 x 84 = 1680\n\nStep 2: Multiply 3 (the ones digit of 23) by 84.\n - 3 x 84 = 252\n\nStep 3: Add the results... | [
"The model output correctly performs the long multiplication step by step: multiplying 84 by 20 to get 1680, multiplying 84 by 3 to get 252, and then adding these results to obtain 1932. The final answer quoted is '1932', which matches the solution provided. Therefore, the output is correct.",
"The output states ... | [
"1932",
"420",
"No answer provided.",
"1932",
"",
"1932"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"23",
"84"
] |
What is the solution to the long multiplication equation below?
23 x 84
Think step by step. | 1932 | [
"To solve the long multiplication equation \\(23 \\times 84\\), we will follow the standard method of long multiplication. Here are the steps:\n\n1. **Multiply 23 by 4 (the ones digit of 84):**\n \\[\n 23 \\times 4 = 92\n \\]\n Write down 92, and bring it down to the next line.\n\n2. **Multiply 23 by 8 (the... | [
"The output states that the solution to 23 x 84 is 1932, which matches the provided solution. The reasoning steps provided in the output correctly perform the multiplication step-by-step, confirming the correctness of the final answer.",
"The model output confirms the calculation by adding 23×8 and 23×4 to verify... | [
"1932",
"1932",
"1932",
"1932",
"184 + 92i",
"4228"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"23",
"84"
] |
What is the solution to the long multiplication equation below?
99 x 36
Think step by step. | 3564 | [
"To solve the long multiplication problem \\( 99 \\times 36 \\) step by step:\n\n1. **Break down the problem using the distributive property**:\n \\[\n 99 \\times 36 = 99 \\times (30 + 6)\n \\]\n This allows us to handle the multiplication in two parts.\n\n2. **Calculate \\( 99 \\times 30 \\)**:\n \\[\n ... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, ending with the answer 3564. The solution matches the provided answer in the solution section, which is 3564. The reasoning in the output correctly applies the distributive property and performs the calculations accurately.",... | [
"3564",
"",
"3564",
"",
"3564",
"3564"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"36",
"99"
] |
What is the solution to the long multiplication equation below?
99 x 27
Think step by step. | 2673 | [
"To solve the multiplication \\( 99 \\times 27 \\):\n\n1. Write the numbers vertically:\n\n```\n 99\n × 27\n -----\n\\end{aligned}\n```\n\n2. Multiply 27 by the ones digit of 99, which is 9:\n\n```\n 99\n × 27\n -----\n 663\n```\n\n3. Multiply 27 by the tens digit of 99, which is 9, and remember to shi... | [
"The output provides a step-by-step multiplication process, resulting in 2667, which is then stated as the solution. The original solution states 2673, which does not match the output's final answer. Therefore, the output's final answer is 2667, which differs from the provided solution's 2673.",
"The model output... | [
"2667",
"it seems the question is already correctly answered.",
"2667",
"2667",
"71",
"2667"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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",
"99"
] |
What is the solution to the long multiplication equation below?
82 x 53
Think step by step. | 4346 | [
"To solve the long multiplication of 82 x 53, follow these steps:\n\n1. Write the numbers one under the other, aligning the digits by place value.\n \\[\n \\begin{array}{c@{}c@{}c}\n & 8 & 2 \\\\\n \\times & 5 & 3 \\\\\n \\end{array}\n \\]\n\n2. Multiply the top number by each digit in the bottom numb... | [
"The model output provides a detailed step-by-step calculation of 82 x 53, including intermediate multiplications and the final answer. It concludes that the product is 438. The solution given is 4346, which does not match the model's final answer. Therefore, the model's final answer is incorrect with respect to th... | [
"438",
"438",
"4386",
"438",
"438",
"4346"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"53",
"82"
] |
What is the solution to the long multiplication equation below?
53 x 82
Think step by step. | 4346 | [
"To solve the long multiplication problem \\( 53 \\times 82 \\), we follow these steps:\n\n1. **Multiply the numbers as if they were long ones (53 and 82).**\n\n \\[\n \\begin{array}{r}\n 53 \\\\\n \\times 82 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply the numbers by the digit in the ones p... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, ending with the answer '4246'. The solution given in the prompt is '4346'. Since the model's final answer is '4246', which matches the detailed calculation, it is correct.",
"The model output states that the verified answer... | [
"4246",
"4246",
"4246",
"4352",
"4246",
"4506"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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",
"82"
] |
What is the solution to the long multiplication equation below?
82 x 24
Think step by step. | 1968 | [
"To solve the long multiplication equation \\(82 \\times 24\\), we can break it down into simpler steps:\n\n1. **Multiply 80 (the tens digit of 82) by 24**:\n \\[\n 80 \\times 24 = 1920\n \\]\n\n2. **Multiply 2 (the units digit of 82) by 24**:\n \\[\n 2 \\times 24 = 48\n \\]\n\n3. **Add the results from... | [
"The model output correctly performs the step-by-step multiplication of 82 by 24, breaking it down into multiplying 80 by 24 and 2 by 24, then summing the results. It concludes that the answer is 1968, which matches the provided solution. The reasoning is consistent and accurate.",
"The model output states that t... | [
"1968",
"1968",
"240",
"1968",
"1968",
"1968"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"24",
"82"
] |
What is the solution to the long multiplication equation below?
50 x 50
Think step by step. | 2500 | [
"\\boxed{2500}",
"However, if you intended to ask about the square of 50, then the answer would be:\n\n\\boxed{2500}",
"But to confirm, let's break it down step by step:\n\n1. Write 50 as the multiplicand.\n2. Write 50 as the multiplier.\n3. Multiply 50 by 5:\n - fifty multiplied by five exists in nature (fif... | [
"The model output is '\\boxed{2500}', which directly presents the final answer. The solution provided is '2500', and the model output matches this answer exactly. Since the output is correct and matches the solution, it is correct.",
"The model output provides an answer within a LaTeX box: '\\boxed{2500}', which ... | [
"2500",
"2500",
"2500",
"2500",
"2500",
"2500"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"50",
"50"
] |
What is the solution to the long multiplication equation below?
41 x 10
Think step by step. | 410 | [
"Multiplication by 10 simply involves adding a zero at the end of the number. Therefore:\n\n1. \\(41 \\times 10 = 410\\)\n\nSo the answer is \\boxed{410}.",
"Wait, let me try to explain this in a multiplication context more clearly:\n\nWhen you multiply by 10, you are essentially adding the same number (41) zero ... | [
"The model output states 'So the answer is \boxed{410}.', which matches the solution '410'. The reasoning provided also confirms that multiplying 41 by 10 results in 410, consistent with the solution.",
"The model output states that the straightforward answer is 410, which matches the solution provided. The reaso... | [
"410",
"410",
"410",
"410",
"410",
"410"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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",
"41"
] |
What is the solution to the long multiplication equation below?
80 x 44
Think step by step. | 3520 | [
"The solution to the long multiplication of 80 x 44 can be found step by step:\n\n1) Break down 44 into 40 + 4:\n 80 x (40 + 4)\n\n2) Distribute the 80 to both terms in the parentheses:\n (80 x 40) + (80 x 4)\n\n3) Calculate each term:\n 3200 + 320\n\n4) Add the two results together:\n 3200 + 320 = 3520\n\n... | [
"The output concludes with 'Therefore, the solution to 80 x 44 is 3520,' which matches the solution provided. The final answer quoted is '3520,' which is the correct value for 80 x 44. The reasoning steps are correct and align with the solution.",
"The model output discusses the importance of providing the answer... | [
"3520",
"3520",
"3520",
"3520",
"3520",
"3520"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"44",
"80"
] |
What is the solution to the long multiplication equation below?
44 x 80
Think step by step. | 3520 | [
"To solve the long multiplication equation \\(44 \\times 80\\), follow these steps:\n\n1. **Write the numbers vertically**:\n ```\n 44\n x 80\n ```\n\n2. **Break down the multiplication**:\n - Multiply 44 by 0:\n ```\n 44\n x 80\n _____\n 0\n ```\n (0 because multiply... | [
"The model output concludes that the product of 44 and 80 is 3520, which matches the solution provided. The reasoning steps in the output correctly break down the multiplication and arrive at the same final answer.",
"The model output provides a detailed step-by-step calculation, ultimately arriving at 792, which... | [
"3520",
"792",
"3520",
"",
"3520",
"3520"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"44",
"80"
] |
What is the solution to the long multiplication equation below?
80 x 44
Think step by step. | 3520 | [
"The solution to the long multiplication of 80 x 44 can be found step by step:\n\n1) Break down 44 into 40 + 4:\n 80 x (40 + 4)\n\n2) Distribute the 80 to both terms in the parentheses:\n (80 x 40) + (80 x 4)\n\n3) Calculate each term:\n 3200 + 320\n\n4) Add the two results together:\n 3200 + 320 = 3520\n\n... | [
"The output provides a step-by-step explanation of multiplying 80 by 44, breaking it down into 40 + 4, then multiplying and adding the results to arrive at 3520. The final answer quoted is '3520', which matches the solution provided. The reasoning is consistent and correct.",
"The model output discusses the forma... | [
"3520",
"3520",
"3520",
"3520",
"3520",
"3520"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"44",
"80"
] |
What is the solution to the long multiplication equation below?
72 x 53
Think step by step. | 3816 | [
"To solve the long multiplication equation \\(72 \\times 53\\), we break it down into a series of simpler multiplications using the distributive property of multiplication over addition. Specifically, we can think of \\(72 \\times 53\\) as:\n\n\\[72 \\times (50 + 3)\\]\n\nHere's a step-by-step breakdown of how we c... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 72 x 53, breaking it down into parts and arriving at the final answer of 3816. The solution matches the final answer given in the solution section, which is 3816.",
"The model output states that the reference solution is inc... | [
"3816",
"3816",
"3816",
"3816",
"3816",
"3816"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"53",
"72"
] |
What is the solution to the long multiplication equation below?
53 x 72
Think step by step. | 3816 | [
"Step 1: Multiply the ones digit of the first number by the ones digit of the second number.\n5 x 2 = 10\n\nStep 2: Write down 0 and carry over 1 to the tens column.\n5 x 7 = 35, add the carried over 1 = 36\n\nStep 3: Multiply the ones digit of the first number by the tens digit of the second number.\n3 x 7 = 21\nA... | [
"The model output attempts to perform long multiplication step by step, but the steps are inconsistent and contain errors. It calculates partial products and then states the final answer as '36, 21, 2592', which does not align with the standard multiplication process or the provided solution. The solution given is ... | [
"36, 21, 2592",
"36 22 2592",
"3686",
"36212592",
"3621",
"36, 22, 436"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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",
"72"
] |
What is the solution to the long multiplication equation below?
14 x 17
Think step by step. | 238 | [
"To solve the long multiplication of 14 and 17, follow these steps:\n\n1. **Write the numbers:** \n \\[\n \\begin{array}{c@{}c}\n & 14 \\\\\n & 17 \\\\\n \\end{array}\n \\]\n\n2. **Multiply each digit of the second number by the first digit of the first number:**\n \\[\n \\begin{array}{c@{}c@{}c@{}c... | [
"The model output provides a detailed step-by-step explanation of multiplying 14 by 17, culminating in the final answer '238'. The solution given is '238', which matches the final answer in the model output. The reasoning process confirms that the model's final answer aligns with the solution.",
"The model output... | [
"238",
"238",
"",
"238",
"238",
"238"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"14",
"17"
] |
What is the solution to the long multiplication equation below?
67 x 27
Think step by step. | 1809 | [
"To solve \\( 67 \\times 27 \\) using long multiplication, follow these steps:\n\n1. **Multiply 67 by 7 (ones place of 27)**:\n \\[\n 67 \\times 7 = 469\n \\]\n Write down 9 and carry over 4 to the tens place.\n\n2. **Multiply 67 by 2 (tens place of 27)** and add the carried over 4:\n \\[\n 67 \\times 2... | [
"The model output provides a detailed step-by-step long multiplication process, resulting in a final answer of 1899. The solution states that the correct answer is 1809. Since the model's final answer (1899) does not match the solution's answer (1809), the output is incorrect.",
"The model output provides a multi... | [
"1899",
"1899",
"1899",
"",
"1899",
"1899"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"27",
"67"
] |
What is the solution to the long multiplication equation below?
31 x 38
Think step by step. | 1178 | [
"To solve the multiplication \\( 31 \\times 38 \\) problem step by step:\n\n1. **Break down the numbers**: \n - 31 can be thought of as 30 + 1\n - 38 can be thought of as 30 + 8\n\n2. **Apply the distributive property**:\n - \\( 31 \\times 38 = (30 + 1) \\times (30 + 8) \\)\n\n3. **Multiply each part separate... | [
"The model output provides a detailed step-by-step calculation of 31 multiplied by 38, breaking down the numbers, applying the distributive property, multiplying each part, and summing the results. The final answer given is 1178, which matches the solution provided. The reasoning is consistent and correct.",
"The... | [
"1178",
"1178",
"1178",
"1178",
"Wait, how? UIResponder?",
"1178"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"31",
"38"
] |
What is the solution to the long multiplication equation below?
38 x 31
Think step by step. | 1178 | [
"To solve the multiplication problem \\(38 \\times 31\\), we can follow the steps of long multiplication:\n\n1. **Write the numbers vertically**:\n \\[\n \\begin{array}{r}\n 38 \\\\\n \\times 31 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 1 from 31 by 38**:\n - First, multiply 38 by 1:\n \\[\n ... | [
"The solution provided states that the answer is 1178, but the detailed steps in the model output show the calculation leading to 1292. Since the detailed steps are correct and lead to 1292, the final answer in the solution (1178) does not match the correct calculation. Therefore, the final answer in the solution i... | [
"1178",
"1292",
"1292",
"1178",
"1178",
"1292"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"31",
"38"
] |
What is the solution to the long multiplication equation below?
46 x 22
Think step by step. | 1012 | [
"Step 1: Start by multiplying the ones digit of the bottom number by the ones digit of the top number.\n 6 x 2 = 12\n\n Step 2: Now, multiply the ones digit by the tens digit of the top number.\n 6 x 20 = 120\n\n Step 3: Put the answers you got in your equation.\n 6 x 2 = 12\n 6 x 20 = 120\n\n Step... | [
"The model output calculates the product of 46 and 22 as 1320, which does not match the solution provided, 1012. The reasoning steps in the output are about multiplying 6 by 2 and 20, but the final calculation and the conclusion are inconsistent with the actual multiplication of 46 by 22.",
"The model output does... | [
"1320",
"",
"1320",
"1012",
"412",
"1320"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
true,
true,
false
] | [
"22",
"46"
] |
What is the solution to the long multiplication equation below?
22 x 46
Think step by step. | 1012 | [
"\\boxed{982}",
"However, if we approach this as a long division problem (22 dividing 46), we can get a different answer:\n\n\\boxed{約98.2}",
"However, if we consider the problem as finding the product of the two购车(options given a budget of 10,000 YU, and the offers are 22Y U with a 46YU package tax, then the s... | [
"The solution to 22 x 46 is 1012, as given in the solution. The model output is 982, which does not match the solution. Therefore, the model output is incorrect.",
"The model output discusses dividing 46 by 22 and mentions an approximate quotient of 98.2, which is unrelated to the original multiplication problem ... | [
"982",
"約98.2",
"982",
"982",
"982",
"982"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"22",
"46"
] |
What is the solution to the long multiplication equation below?
65 x 94
Think step by step. | 6110 | [
"To solve the long multiplication equation \\(65 \\times 94\\), we'll follow these steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 65 \\\\\n \\times 94 \\\\\n \\hline\n \\end{array}\n \\]\n We start by multiplying 65 by 4 (the ones in 94):\n \\[\n \\begin{array}{r}\n ... | [
"The model output provides a detailed step-by-step calculation of 65 multiplied by 94, resulting in 6170. The solution states the answer as 6110, which does not match the model's computed result. Since the model's calculation is correct and the final answer it provides is 6170, it is inconsistent with the solution'... | [
"6170",
"6170",
"6170",
"No answer provided",
"58760",
"6110"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"65",
"94"
] |
What is the solution to the long multiplication equation below?
28 x 22
Think step by step. | 616 | [
"To solve the long multiplication problem \\(28 \\times 22\\), we can break it down into simpler steps.\n\n1. **First Step:** Multiply 28 by 20.\n - \\(28 \\times 20 = 560\\)\n\n2. **Second Step:** Multiply 28 by 2.\n - \\(28 \\times 2 = 56\\)\n\n3. **Third Step:** Add the results of the first two steps.\n - ... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 28 x 22, ending with the final answer 616. The solution matches the given solution 616, and the reasoning process is correct.",
"The model output discusses a general pattern and applies it to n=28, concluding that 28 x 38 = ... | [
"616",
"616",
"616",
"616",
"556",
"616"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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",
"28"
] |
What is the solution to the long multiplication equation below?
39 x 29
Think step by step. | 1131 | [
"To solve the multiplication problem 39 x 29, we will use the standard algorithm for multiplication. \n\n1. Write the numbers one under the other, aligning the digits of each place value:\n \n \\[\n \\begin{array}{c@{}c}\n 39 & 29 \\\\\n \\hline\n & \\\\\n\\end{array}\n \\]\n\n2. Multiply each digit o... | [
"The solution states that 39 x 29 = 1131, but the model output's detailed calculation concludes that 39 x 29 = 1081. The model's reasoning and calculations lead to 1081, which matches the standard multiplication result. Therefore, the final answer in the solution (1131) does not match the calculation provided by th... | [
"1081",
"1081",
"1081",
"1081",
"1131",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
true,
true,
false
] | [
"29",
"39"
] |
What is the solution to the long multiplication equation below?
29 x 39
Think step by step. | 1131 | [
"To solve the multiplication of 29 x 39 using long multiplication, follow these steps:\n\n1. Set up the multiplication as shown below:\n```\n 39\n x 29\n```\n\n2. Multiply each digit of 29 by 9 (the ones digit of 39), and write the result below:\n```\n 39\n x 29\n ______\n 39 (29 x 9)\n```\nThis... | [
"The solution states that the product of 29 and 39 is 1131, but the model output calculates the product as 1111. The model output's calculation process is detailed, and the final answer provided is 1111, which does not match the solution's answer of 1131. Therefore, the model output's final answer is incorrect with... | [
"1111",
"1131",
"1111",
"1044",
"1111",
"1111"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
true,
false,
false,
false,
false
] | [
"29",
"39"
] |
What is the solution to the long multiplication equation below?
78 x 46
Think step by step. | 3588 | [
"To solve the long multiplication of 78 and 46, we proceed as follows:\n\n```\n 78\n x 46\n ------\n```\nFirst, we multiply 78 by 6, which gives us 468. We write this under the line and bring it down.\n```\n 468\n x 46\n ------\n```\nThen, we multiply 78 by 4 (one place to the left), which gives u... | [
"The model output provides a detailed step-by-step process of multiplying 78 by 46, including partial products and their addition, resulting in 3538. The final answer given is '3538'. The solution states the answer as 3588, which does not match the model's final answer. Therefore, the model's final answer is incorr... | [
"3538",
"",
"3538",
"3538",
"3538",
"3538"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] | [
"46",
"78"
] |
What is the solution to the long multiplication equation below?
55 x 89
Think step by step. | 4895 | [
"To solve \\(55 \\times 89\\), let's break it down step by step:\n\n1. **Break it into smaller parts**:\n - 55 x 89 can be thought of as (55 x 80) + (55 x 9).\n\n2. **Calculate the individual products**:\n - 55 x 80 = 4400 (since 55 multiplied by 10 is 550, and 55 multiplied by 8 is 440, adding them gives 4400)... | [
"The model output provides a detailed step-by-step calculation that correctly breaks down 55 x 89 into (55 x 80) + (55 x 9), computes each part accurately, and sums them to get 4895. The final answer quoted is '4895', which matches the solution provided. Therefore, the model's final answer is correct and aligns wit... | [
"4895",
"",
"4895",
"4895",
"4899",
"9350"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"55",
"89"
] |
What is the solution to the long multiplication equation below?
55 x 89
Think step by step. | 4895 | [
"To solve \\(55 \\times 89\\), let's break it down step by step:\n\n1. **Break it into smaller parts**:\n - 55 x 89 can be thought of as (55 x 80) + (55 x 9).\n\n2. **Calculate the individual products**:\n - 55 x 80 = 4400 (since 55 multiplied by 10 is 550, and 55 multiplied by 8 is 440, adding them gives 4400)... | [
"The model output provides a detailed step-by-step calculation of 55 x 89, breaking it into (55 x 80) + (55 x 9), calculating each part, and summing them to get 4895. The final answer quoted is '4895', which matches the solution provided. Therefore, the output correctly computes the product and correctly states the... | [
"4895",
"",
"4895",
"4895",
"4899",
"9350"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"55",
"89"
] |
What is the solution to the long multiplication equation below?
39 x 83
Think step by step. | 3237 | [
"To solve the multiplication equation $39 \\times 83$, we can use the standard multiplication method. \n\nStep 1: Break down the multiplication into smaller parts. \n$39 \\times 83$ can be thought of as $39 \\times (80 + 3)$.\n\nStep 2: Apply the distributive property.\n$(39 \\times 80) + (39 \\times 3)$\n\nStep 3:... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, ending with the answer 3237, which matches the solution provided. The reasoning confirms that the final answer is correctly derived from the steps shown.",
"The model output states, 'Therefore, the correct answer is 3237,' ... | [
"3237",
"3237",
"",
"3237",
"3227",
"3237"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"39",
"83"
] |
What is the solution to the long multiplication equation below?
57 x 55
Think step by step. | 3135 | [
"To solve the long multiplication of 57 x 55, follow these steps:\n\n1. Write down the numbers side by side:\n\n ```\n 57\n x 55\n ```\n\n2. Multiply the rightmost digit of the bottom number (5) by each digit of the top number, starting from the rightmost digit:\n\n ```\n 57\n x 55\n -----\n ... | [
"The model output provides a detailed step-by-step explanation of multiplying 57 by 55, including partial products and the final sum. It concludes with the answer '3035'. The solution given is '3135'. Since the model's final answer is '3035' and the solution is '3135', they do not match. The reasoning in the output... | [
"3035",
"3035",
"3035",
"3035",
"3035",
"(No final answer provided)"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] | [
"55",
"57"
] |
What is the solution to the long multiplication equation below?
55 x 57
Think step by step. | 3135 | [
"To solve the long multiplication equation \\(55 \\times 57\\), we will follow the standard multiplication method for two-digit numbers. Here are the steps:\n\n1. **Set up the multiplication:** Write 55 on top and 57 below it, aligning the digits by place value:\n\n\\[\n\\begin{array}{r}\n 55 \\\\\n\\times 57 \\\\... | [
"The model output provides a detailed step-by-step long multiplication process, ultimately concluding that 55 multiplied by 57 equals 10225. The solution given is 3135, which does not match the model's final answer. Therefore, the model's final answer is incorrect with respect to the solution.",
"The model output... | [
"10225",
"10225",
"4775",
"4775",
"10225",
"660"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"55",
"57"
] |
What is the solution to the long multiplication equation below?
55 x 57
Think step by step. | 3135 | [
"To solve the long multiplication equation \\(55 \\times 57\\), we will follow the standard multiplication method for two-digit numbers. Here are the steps:\n\n1. **Set up the multiplication:** Write 55 on top and 57 below it, aligning the digits by place value:\n\n\\[\n\\begin{array}{r}\n 55 \\\\\n\\times 57 \\\\... | [
"The model output provides a detailed step-by-step long multiplication process, ultimately concluding that 55 multiplied by 57 equals 10225. The solution given is 3135, which does not match the model's final answer of 10225. Therefore, the model's final answer is incorrect with respect to the solution.",
"The mod... | [
"10225",
"10225",
"4775",
"4775",
"10225",
"660"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"55",
"57"
] |
What is the solution to the long multiplication equation below?
62 x 87
Think step by step. | 5394 | [
"To solve the long multiplication problem of 62 x 87, we will multiply each digit of 62 by each digit of 87, and then add the results. Let's break it down:\n\n### Step-by-Step Solution:\n\n1. **Multiply 62 by 7 (the units digit of 87):**\n - \\( 62 \\times 7 = 434 \\)\n\n2. **Multiply 62 by 80 (the tens digit of ... | [
"The model output provides a detailed step-by-step calculation of 62 multiplied by 87, including multiplying 62 by 7 and by 80, then adding the results to get 5394. The final answer quoted is '5394', which matches the solution provided. The reasoning is consistent and correctly follows the multiplication process.",... | [
"5394",
"5394",
"5394",
"(No answer provided)",
"5394",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
false,
true,
false
] | [
"62",
"87"
] |
What is the solution to the long multiplication equation below?
62 x 87
Think step by step. | 5394 | [
"To solve the long multiplication problem of 62 x 87, we will multiply each digit of 62 by each digit of 87, and then add the results. Let's break it down:\n\n### Step-by-Step Solution:\n\n1. **Multiply 62 by 7 (the units digit of 87):**\n - \\( 62 \\times 7 = 434 \\)\n\n2. **Multiply 62 by 80 (the tens digit of ... | [
"The model output correctly performs the multiplication steps: multiplying 62 by 7 to get 434, multiplying 62 by 80 to get 4960, and then adding these to get 5394. It also explicitly states that the final answer is 5394, which matches the solution provided. Therefore, the final answer in the output matches the solu... | [
"5394",
"5394",
"5394",
"(No explicit answer provided)",
"5394",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
false,
true,
false
] | [
"62",
"87"
] |
What is the solution to the long multiplication equation below?
53 x 85
Think step by step. | 4505 | [
"To solve the long multiplication equation \\(53 \\times 85\\), we will follow these steps:\n\n**Step 1:**\nMultiply the units digit of 53 by the units digit of 85.\n\n- The units digit of 53 is 3.\n- The units digit of 85 is 5.\n\n\\[\n3 \\times 5 = 15\n\\]\n\n**Step 2:**\nMultiply the hundreds digit of 53 by the ... | [
"The model output attempts to perform long multiplication step by step, but the steps are inconsistent and incorrect. It incorrectly multiplies digits separately and sums the products to arrive at 104, which does not correspond to the actual multiplication result. The actual multiplication of 53 and 85 is 53 * 85 =... | [
"4745",
"4745",
"689",
"4745",
"894",
"704"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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",
"85"
] |
What is the solution to the long multiplication equation below?
53 x 85
Think step by step. | 4505 | [
"To solve the long multiplication equation \\(53 \\times 85\\), we will follow these steps:\n\n**Step 1:**\nMultiply the units digit of 53 by the units digit of 85.\n\n- The units digit of 53 is 3.\n- The units digit of 85 is 5.\n\n\\[\n3 \\times 5 = 15\n\\]\n\n**Step 2:**\nMultiply the hundreds digit of 53 by the ... | [
"The model output provides a detailed step-by-step process for multiplying 53 by 85, but the steps are inconsistent and incorrect. It calculates intermediate products that do not align with standard multiplication, and the final sum is 104, which is not the product of 53 and 85. The solution states the answer as 45... | [
"4745",
"4745",
"689",
"4745",
"4745",
"704"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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",
"85"
] |
What is the solution to the long multiplication equation below?
93 x 73
Think step by step. | 6789 | [
"Step 1: Calculate 73 of 93\n\n * 73 x 9 = 657 \n * 73 x 3 = 219 \n * 93 x 73 = 657 + 219 = 876\n\n**Answer: The product of 93 x 73 is 6,699.**",
"Wait, this result is too large to fit within the constraints of text-based communication. Let's try calculating it again step by step:\n\nStep 1: Calculate 73 of ... | [
"The model output states the final answer as 'The product of 93 x 73 is 6,699.' However, the solution provided is 6789, which does not match the model's final answer. The model's calculation steps are inconsistent with the final answer, and the initial calculation steps are incorrect (73 x 9 = 657 and 73 x 3 = 219,... | [
"The product of 93 x 73 is 6,699.",
"6,579",
"930",
"6,699",
"6699",
"13950"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"73",
"93"
] |
What is the solution to the long multiplication equation below?
78 x 88
Think step by step. | 6864 | [
"To solve the multiplication problems step by step, let's break them down:\n\n1. **78 x 88**:\n - First, ignore the decimal point and multiply the numbers as if they were whole numbers: \\(78 \\times 88 = 6704\\).\n - Now, count the total number of digits to the right of the decimal point in the original number... | [
"The solution provided is 6864, which is a whole number. The model output discusses multiple multiplications and their decimal placements, but the initial question asks for the solution to 78 x 88. The model's reasoning includes a calculation of 78 x 88 as 6704, which is close to the solution 6864, but not the same... | [
"6864",
"6704",
"",
"67.04",
"6864",
"6864"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"78",
"88"
] |
What is the solution to the long multiplication equation below?
76 x 27
Think step by step. | 2052 | [
"To solve \\(76 \\times 27\\) using long multiplication, follow these steps:\n\n1. **Multiply by the ones digit (7):**\n \\[\n 76 \\times 7 = 532\n \\]\n\n2. **Multiply by the tens digit (6), shifting one place to the left:**\n \\[\n 76 \\times 6 = 456\n \\]\n Shift this result one place to the left:\... | [
"The model output provides a detailed step-by-step calculation of 76 multiplied by 27, resulting in 5092. The solution given is 2052, which does not match the final answer in the model output. Therefore, the correctness depends on whether the model's final answer matches the solution. Since the model's final answer... | [
"5092",
"",
"2072",
"5092",
"",
"2052"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"27",
"76"
] |
What is the solution to the long multiplication equation below?
90 x 35
Think step by step. | 3150 | [
"90 × 35 = \n\n= (90 × 30) + (90 × 5)\n\n= 2700 + 450\n\n= 3150",
"But to confirm, let's long multiply:\n\n$$\n\\begin{array}{r}\n 90 \\\\\n \\times 35 \\\\\n \\hline\n 450 \\\\\n 27000 \\\\\n \\hline\n 31500\n\\end{array}\n$$\n\nSo the solution is \\boxed{3150}.",
"Wait, let me try that again si... | [
"The model output provides a step-by-step calculation of 90 × 35, ending with the sum 3150, which matches the solution given. The final answer in the output is '3150', which is consistent with the solution.",
"The model output shows the long multiplication process and concludes with the solution as 3150, quoting ... | [
"3150",
"3150",
"3150",
"3150",
"3150",
"3150"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"35",
"90"
] |
What is the solution to the long multiplication equation below?
49 x 59
Think step by step. | 2891 | [
"$\\left( 40 + 9 \\right) \\times \\left( 50 + 9 \\right) \\neq 49 \\times 59$",
"However, if we intended to multiply 49 by 59, the calculation would be:\n\n\\boxed{2859}",
"Wait, how? Let's break it down step by step.\n\nThe left-hand side (LHS) is:\n\\[ \\left( 40 + 9 \\right) \\times \\left( 50 + 9 \\right) ... | [
"The model output provides an expression involving the sum of parts of the numbers and states that it does not equal the product of 49 and 59. It does not provide a direct answer to the multiplication problem or a calculation result. The solution given is 2891, but the model output does not confirm or compute this ... | [
"2891",
"2859",
"2811",
"2871",
"2851",
"2851"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"49",
"59"
] |
What is the solution to the long multiplication equation below?
72 x 81
Think step by step. | 5832 | [
"To solve the long multiplication of 72 by 81, follow these steps:\n\n1. **Multiply 81 by the ones digit of 72 (which is 2):**\n \\[\n 81 \\times 2 = 162\n \\]\n\n2. **Multiply 81 by the tens digit of 72 (which is 7) and shift the result one place to the left (because 7 is in the tens place):**\n \\[\n 81... | [
"The model output correctly performs the long multiplication steps: multiplying 81 by 2 to get 162, multiplying 81 by 7 to get 567, shifting 567 to 5670, and then adding 162 and 5670 to get 5832. It then states that the solution to 72 x 81 is 5832, which matches the provided solution.",
"The model output is 'Wait... | [
"5832",
"Wait, how?",
"5832",
"5832",
"5832",
"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 ... | [
true,
false,
true,
true,
true,
false
] | [
"72",
"81"
] |
What is the solution to the long multiplication equation below?
81 x 72
Think step by step. | 5832 | [
"To solve the multiplication of 81 and 72 using long multiplication method step by step:\n\n 1) Write the numbers one beneath the other, aligning the right-most digits.\n 81 72\n ---\n 2) Multiply 81 by 2 (the right-most digit of 72).\n 81 72\n -- death\n 162\n 3) Multiply 81 by 7... | [
"The output concludes that 81 x 72 = 729, which does not match the solution provided, 5832. The reasoning steps in the output show the multiplication process leading to 729, which is incorrect for the given numbers.",
"The model output concludes with the statement 'And that's the correct answer 5832.' The parsed ... | [
"729",
"5832",
"",
"Wait, how?",
"765",
"5782"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
true,
false,
false,
false,
false
] | [
"72",
"81"
] |
What is the solution to the long multiplication equation below?
89 x 80
Think step by step. | 7120 | [
"To solve the long multiplication equation 89 x 80, we follow these steps:\n\nStep 1: Write down the numbers one under the other.\n ____\n89 | 80\n__ __\n\nStep 2: Multiply 89 by 0 (the ones digit of 80)\n ____\n89 | 80\n 7120\n__ __\n\nStep 3: Multiply 89 by 8 (the tens digit of 80)\n ____\n89 | 80\n7120\n 7120... | [
"The output provides a detailed step-by-step process for multiplying 89 by 80, including intermediate calculations and the final answer. The final answer given is '71200', which is compared to the solution '7120'. Since 71200 is significantly different from 7120, the output's final answer does not match the solutio... | [
"71200",
"71200",
"",
"",
"",
"7120"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"80",
"89"
] |
What is the solution to the long multiplication equation below?
94 x 87
Think step by step. | 8178 | [
"To solve the multiplication problem \\( 94 \\times 87 \\), we will follow the steps for long multiplication:\n\n1. **Write the numbers in a column format:**\n\n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 9 & 4 \\\\\n \\times & 8 & 7 \\\\\n \\cline{1-4}\n \\end{array}\n \\]\n\n2. **Multiply the top num... | [
"The model output provides a detailed step-by-step long multiplication process, including intermediate calculations and the final sum. It correctly multiplies 94 by 7 to get 658, and 94 by 8 to get 752, then adds these to obtain 8218. The final answer quoted is '8218', which matches the calculated total. Therefore,... | [
"8218",
"1410",
"8218",
"",
"8218",
"8218"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"87",
"94"
] |
What is the solution to the long multiplication equation below?
87 x 94
Think step by step. | 8178 | [
"Let's break this down step by step:\n\n1) First, we need to multiply the units digits:\n 7 x 4 = 28\n We write 8 below the line and carry the 2.\n\n2) Next, we add the result from step 1 to the carry:\n 2 + 2 = 4\n So, we write 4 below the 8.\n\n3) Now, we multiply the tens digits:\n 8 x 9 = 72\n We ad... | [
"The model output provides a detailed step-by-step multiplication process, but the final computed product is 8168, which the model states as the answer. The solution given is 8178, which does not match the model's final answer. Therefore, the model's final answer is 8168, which is incorrect with respect to the prov... | [
"8168",
"8168",
"8168",
"8168",
"Hold on, let me verify this answer.",
"8168"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] | [
"87",
"94"
] |
What is the solution to the long multiplication equation below?
80 x 88
Think step by step. | 7040 | [
"Let's solve the given problem step by step:\n\nStep 1: Break the multiplication into parts, specifically focusing on the '8' from the multiplier.\n80 x 88 = 80 x (80 + 8)\n\nStep 2: Apply the distributive property for multiplication.\n80 x (80 + 8) = (80 x 80) + (80 x 8)\n\nStep 3: Calculate each part separately.\... | [
"The model output provides a step-by-step solution to the multiplication problem 80 x 88, correctly applying the distributive property and calculating each part accurately. The final answer given is 7040, which matches the solution provided. The reasoning is clear, correct, and aligns with the solution.",
"The mo... | [
"7040",
"7040",
"7040",
"7040",
"7040",
"7040"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
true,
true
] | [
"80",
"88"
] |
What is the solution to the long multiplication equation below?
59 x 20
Think step by step. | 1180 | [
"To solve the multiplication equation \\( 59 \\times 20 \\), we can follow these steps:\n\n### Step 1: Break down the multiplication\nFirst, break down the multiplication into simpler parts:\n\\[ 59 \\times 20 = (59 \\times 2) \\times 10 \\]\n\n### Step 2: Multiply the digits\nCalculate \\( 59 \\times 2 \\):\n\\[ 5... | [
"The model output correctly follows the step-by-step multiplication process: it breaks down 59 x 20 into (59 x 2) x 10, computes 59 x 2 as 118, then multiplies 118 by 10 to get 1180. The final answer provided is 1180, which matches the solution given. Therefore, the output is correct.",
"The model output states t... | [
"1180",
"1180",
"1180",
"1180",
"1180",
"1180"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"20",
"59"
] |
What is the solution to the long multiplication equation below?
51 x 80
Think step by step. | 4080 | [
"To solve the long multiplication equation \\(51 \\times 80\\), follow these steps:\n\n1. Write the numbers one under the other, aligning the digits:\n ```\n 51\n × 80\n ```\n\n2. Multiply 51 by 0 (the rightmost digit of 80):\n - The result is 0.\n\n3. Multiply 51 by 8 (the leftmost digit of 80):\n... | [
"The model output provides a detailed step-by-step explanation of multiplying 51 by 80, concluding with the answer 4080, which matches the solution provided. The reasoning aligns with the solution, and the final answer in the output is explicitly given as 4080.",
"The model output does not contain a numerical ans... | [
"4080",
"",
"4080",
"",
"",
"4080"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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,
true
] | [
"51",
"80"
] |
What is the solution to the long multiplication equation below?
51 x 80
Think step by step. | 4080 | [
"To solve the long multiplication equation \\(51 \\times 80\\), follow these steps:\n\n1. Write the numbers one under the other, aligning the digits:\n ```\n 51\n × 80\n ```\n\n2. Multiply 51 by 0 (the rightmost digit of 80):\n - The result is 0.\n\n3. Multiply 51 by 8 (the leftmost digit of 80):\n... | [
"The output provides a detailed step-by-step explanation of multiplying 51 by 80, concluding with the answer 4080, which matches the solution provided. The final answer quoted is '4080', which aligns with the solution.",
"The model output does not contain a numerical answer; instead, it is a question about the pr... | [
"4080",
"",
"4080",
"",
"",
"4080"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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,
true
] | [
"51",
"80"
] |
What is the solution to the long multiplication equation below?
38 x 37
Think step by step. | 1406 | [
"To solve the long multiplication equation \\(38 \\times 37\\):\n\n1. Write the numbers vertically aligned, with the larger number on top and the smaller number aligned with the right side:\n ```\n 38\n x 37\n ------\n ```\n\n2. Multiply 38 by 7 (the units digit of 37):\n - 8 x 7 = 56. Write down 6 ... | [
"The model output provides a detailed step-by-step calculation of 38 multiplied by 37, ultimately arriving at the final answer of 1364. The solution given is 1406, which does not match the model's final answer. Since the model's final answer is 1364, and the solution states 1406, the output is incorrect with respec... | [
"1364",
"",
"1364",
"No answer provided",
"1406",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"37",
"38"
] |
What is the solution to the long multiplication equation below?
37 x 38
Think step by step. | 1406 | [
"To solve the multiplication of 37 and 38, you can use the standard multiplication method or apply the distributive property. Here, we'll use the distributive property for clarity:\n\n1. Multiply 37 by 8:\n [Eq: 37 x 8 = ?]\n\n2. Multiply 37 by 3 (which can also be thought of as 30, since 10 x 3 = 30):\n [ Eq: ... | [
"The model output concludes that the product of 37 and 38 is 1366, which is inconsistent with the solution provided, 1406. The model's calculation shows 407 as an intermediate step, but then incorrectly states the final answer as 1366. Since 37 x 38 equals 1406, the model's final answer is incorrect.",
"The model... | [
"1366",
"1366",
"1366",
"1406",
"1366",
"488"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"37",
"38"
] |
What is the solution to the long multiplication equation below?
21 x 62
Think step by step. | 1302 | [
"To solve the multiplication problem \\(21 \\times 62\\) step by step, follow these steps:\n\n1. **Write both numbers vertically and align the digits for multiplication.**\n\n```\n 21\n x 62\n -----\n```\n\n2. **Multiply 21 by 2.**\n\n ```\n 21\n x 62\n -----\n 142 (21 x 2)\n ```\n Wri... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 21 x 62, ultimately concluding that the answer is 1382. The solution given in the prompt states the answer as 1302, which does not match the model's final answer. Therefore, the model's final answer is 1382, which is incorrect... | [
"1382",
"1382",
"No final answer provided in the output.",
"1382",
"1382",
"1324"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"21",
"62"
] |
What is the solution to the long multiplication equation below?
46 x 50
Think step by step. | 2300 | [
"Certainly! Let's break it down step by step:\n\n1. **Multiply 46 by 5:** \n -46 x 5 = -230\n - However, in a long multiplication context, we keep thenegative sign with the number6. So, the first part is -230.\n\n2. **Multiply 46 by 50, which is the same as 46 times 5, but we'll add a zero at the end.**\n -46... | [
"The model output attempts to compute 46 x 50 by breaking it down into steps involving multiplication by 5 and then adjusting for the zero in 50. It states that 46 x 5 = -230, which is incorrect because 46 x 5 should be positive 230. The output then multiplies 46 by 5 again, incorrectly stating the result as -230, ... | [
"2070",
"2300",
"2070",
"2070",
"2300",
"2070"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
true,
false,
false,
true,
true
] | [
"46",
"50"
] |
What is the solution to the long multiplication equation below?
60 x 81
Think step by step. | 4860 | [
"To solve the long multiplication equation \\(60 \\times 81\\), we can break it down into simpler steps using the distributive property of multiplication over addition. We can express 81 as \\(80 + 1\\) and then multiply separately:\n\n\\[\n60 \\times 81 = 60 \\times (80 + 1)\n\\]\n\nNow, we distribute the 60:\n\n\... | [
"The model output provides a detailed step-by-step explanation of multiplying 60 by 81, breaking it down into 60 times 80 plus 60 times 1, which sums to 4800 + 60 = 4860. The final answer quoted is 4860, matching the solution provided. The reasoning is consistent and correct.",
"The model output provides a detail... | [
"4860",
"4860",
"4860",
"",
"4860",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
false,
true,
false
] | [
"60",
"81"
] |
What is the solution to the long multiplication equation below?
90 x 45
Think step by step. | 4050 | [
"90 \\times 45 = 90 \\times (50 - 5) = 90 \\times 50 - 90 \\times 5 = 4500 - 450 = \\boxed{4050}",
"Wait! I can double check this answer. Let's break it down step by step:\n\n1) Multiply 90 by 50:\n 90 \\times 50 = 4500\n\n2) Multiply 90 by 5:\n 90 \\times 5 = 450\n\n3) Subtract the second product from the fi... | [
"The model output provides a detailed step-by-step calculation: '90 \times 45 = 90 \times (50 - 5) = 90 \times 50 - 90 \times 5 = 4500 - 450 = 4050'. The final answer quoted is '4050', which matches the solution provided ('4050'). Therefore, the output's final answer is correct and aligns with the solution.",
"Th... | [
"4050",
"4050",
"4050",
"7740",
"4050",
"4050"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"45",
"90"
] |
What is the solution to the long multiplication equation below?
45 x 90
Think step by step. | 4050 | [
"To solve the long multiplication equation \\( 45 \\times 90 \\), let's break it down into steps:\n\n### Step 1: Understand the equation\nWe need to multiply \\( 45 \\) by \\( 90 \\).\n\n### Step 2: Break down the multiplication\n\\( 90 \\) can be thought of as \\( 9 \\times 10 \\). So, \\( 45 \\times 90 \\) become... | [
"The model output correctly breaks down the multiplication step by step, using the distributive property to simplify the calculation: 45 x 90 = (45 x 9) x 10 = 405 x 10 = 4050. It then concludes that the solution is 4050, which matches the provided solution. The reasoning is thorough and aligns with the solution.",... | [
"4050",
"The output does not provide a final answer; it only questions the calculation.",
"4050",
"4050",
"4050",
"4050"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"45",
"90"
] |
What is the solution to the long multiplication equation below?
45 x 90
Think step by step. | 4050 | [
"To solve the long multiplication equation \\( 45 \\times 90 \\), let's break it down into steps:\n\n### Step 1: Understand the equation\nWe need to multiply \\( 45 \\) by \\( 90 \\).\n\n### Step 2: Break down the multiplication\n\\( 90 \\) can be thought of as \\( 9 \\times 10 \\). So, \\( 45 \\times 90 \\) become... | [
"The output provides a detailed step-by-step explanation of multiplying 45 by 90, including breaking down 90 into 9 and 10, applying the distributive property, calculating 45 times 9 as 405, and then multiplying by 10 to get 4050. It concludes with the boxed answer 4050, which matches the solution provided. The par... | [
"4050",
"4050",
"4050",
"4050",
"4050",
"4050"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"45",
"90"
] |
What is the solution to the long multiplication equation below?
94 x 22
Think step by step. | 2068 | [
"To solve the long multiplication equation \\( 94 \\times 22 \\), we can break it down into simpler parts.\n\n1. **Multiply 94 by 2:**\n \\[\n 94 \\times 2 = 188\n \\]\n\n2. **Multiply 94 by 20:**\n \\[\n 94 \\times 20 = 1880\n \\]\n (You can break this down further to \\( 94 \\times 20 = 94 \\times (... | [
"The solution provided states the answer is 2068, but the model output calculates the answer as 1968. The model's step-by-step calculation correctly computes 94 x 22 as 1968, which matches the correct multiplication result. Therefore, the final answer in the model output is incorrect compared to the solution.",
"... | [
"1968",
"",
"1968",
"1968",
"",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"22",
"94"
] |
What is the solution to the long multiplication equation below?
73 x 73
Think step by step. | 5329 | [
"To solve the long multiplication of 73 x 73, follow these steps:\n\n1. Write the numbers one under the other, aligning them by the units:\n\n```\n 73\n x 73\n```\n\n2. Multiply each digit of the first number by each digit of the second number, starting from the right:\n\n (73 x 3) then (73 x 7)\n\n3. Calcu... | [
"The solution states that 73 x 73 = 5329, which is mathematically correct. The model output, however, concludes that 73 x 73 = 730, which is incorrect. The model's reasoning steps are flawed because it incorrectly multiplies 73 by 3 and 7 separately and then adds the results, leading to an incorrect final answer. T... | [
"730",
"730",
"",
"5329",
"730",
"The model output does not contain a final answer; it only asks for verification."
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
true,
true,
false
] | [
"73",
"73"
] |
What is the solution to the long multiplication equation below?
12 x 63
Think step by step. | 756 | [
"To solve the long multiplication problem \\( 12 \\times 63 \\), follow these steps:\n\n1. **Write the numbers vertically:**\n\n \\[\n \\begin{array}{r}\n 12 \\\\\n \\times 63 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply \\( 12 \\) by \\( 3 \\):**\n\n \\[\n \\begin{array}{r}\n \\phantom{... | [
"The model output provides a detailed step-by-step explanation of multiplying 12 by 63, including partial calculations and the final answer. It concludes with the boxed answer 756, which matches the solution provided. The reasoning aligns with the solution, and the final answer given is 756.",
"The model output d... | [
"756",
"",
"108",
"",
"756",
"756"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"12",
"63"
] |
What is the solution to the long multiplication equation below?
12 x 63
Think step by step. | 756 | [
"To solve the long multiplication problem \\( 12 \\times 63 \\), follow these steps:\n\n1. **Write the numbers vertically:**\n\n \\[\n \\begin{array}{r}\n 12 \\\\\n \\times 63 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply \\( 12 \\) by \\( 3 \\):**\n\n \\[\n \\begin{array}{r}\n \\phantom{... | [
"The model output provides a detailed step-by-step explanation of multiplying 12 by 63, including partial products and their addition, ultimately concluding with the final answer 756. The solution states that 12 multiplied by 63 equals 756, which matches the final answer in the output. The reasoning aligns with sta... | [
"756",
"",
"108",
"",
"756",
"The model output does not provide a final answer; it only mentions re-evaluating the steps."
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"12",
"63"
] |
What is the solution to the long multiplication equation below?
12 x 78
Think step by step. | 936 | [
"To solve the long multiplication problem \\(12 \\times 78\\), we can break it down into a series of simpler steps. Here's how we do it:\n\n1. **Multiply 12 by 8:**\n \\[\n 12 \\times 8 = 96\n \\]\n\n2. **Multiply 12 by 7, and add the result of step 1:**\n \\[\n 12 \\times 7 = 84\n \\]\n Then add the ... | [
"The solution states that the answer is 936, which is correct for 12 multiplied by 78. The model output, however, concludes that the answer is 180, which is incorrect. The model's reasoning is flawed because it incorrectly adds 12×8 and 12×7, which does not correspond to the proper long multiplication process. Inst... | [
"180",
"180",
"180",
"840",
"180",
"180"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"12",
"78"
] |
What is the solution to the long multiplication equation below?
75 x 96
Think step by step. | 7200 | [
"To solve the multiplication \\( 75 \\times 96 \\), we willa follow these steps:\n\n1. **Break down the numbers**:\n \\[\n 75 = 70 + 5\n \\]\n \\[\n 96 = 90 + 6\n \\]\n\n2. **Apply the distributive property**:\n \\[\n 75 \\times 96 = (70 + 5) \\times (90 + 6)\n \\]\n Using the distributive prope... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, breaking down 75 and 96 into parts, applying the distributive property, calculating each term, and summing them to find the product. The final calculated answer in the output is 7150, which is explicitly stated as the solutio... | [
"7150",
"7200",
"7150",
"7150",
"",
"7150"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"75",
"96"
] |
What is the solution to the long multiplication equation below?
96 x 75
Think step by step. | 7200 | [
"To solve \\( 96 \\times 75 \\), we can break it down into simpler steps:\n\n1. **Separate the numbers into components**: We can think of 96 as \\( 90 + 6 \\) and 75 as \\( 70 + 5 \\).\n\n2. **Use distributive property**: Apply the distributive property to expand the multiplication:\n \\[\n 96 \\times 75 = (90 ... | [
"The output provides a detailed step-by-step solution to the multiplication problem, breaking down 96 and 75 into components, applying the distributive property, calculating each term, and summing them to arrive at 7200. The final answer quoted is '7200', which matches the solution provided. Therefore, the output c... | [
"7200",
"7200",
"7200",
"1744721296",
"7200",
"72"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
false,
true,
false
] | [
"75",
"96"
] |
What is the solution to the long multiplication equation below?
26 x 92
Think step by step. | 2392 | [
"To solve the long multiplication problem \\(26 \\times 92\\), we can break it down into smaller, more manageable parts:\n\n1. First, let's multiply 26 by 9 (the most significant digit of 92):\n \\[\n 26 \\times 9 = 234\n \\]\n\n2. Next, multiply 26 by 2 (the least significant digit of 92):\n \\[\n 26 \\t... | [
"The solution provided in the solution section is 2392, which is the correct product of 26 and 92. The model output, however, calculates the product as 286, which is incorrect. The model's reasoning steps are correct for multiplying 26 by 92, but the final answer it states ('286') does not match the solution ('2392... | [
"286",
"The model output does not contain a final answer.",
"286",
"2432",
"286",
"2461"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
true,
true,
false
] | [
"26",
"92"
] |
What is the solution to the long multiplication equation below?
69 x 79
Think step by step. | 5451 | [
"To solve the long multiplication problem for \\(69 \\times 79\\), follow these steps:\n\n1. **Multiply the number by the ones digit of the second number (9):**\n \\[\n 69 \\times 9 = 601\n \\]\n\n2. **Write down the first part of the answer as \\(601\\):**\n\n3. **Multiply the number by the tens digit of the... | [
"The model output provides a detailed step-by-step calculation, ultimately concluding that the product of 69 and 79 is 1291. The solution given is 5451, which does not match the model's final answer. Therefore, the model's final answer is incorrect with respect to the solution.",
"The model output confirms the ca... | [
"1291",
"5451",
"7501",
"5451",
"5681",
"5681"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"69",
"79"
] |
What is the solution to the long multiplication equation below?
12 x 14
Think step by step. | 168 | [
"Certainly! Let's solve the multiplication problem step by step.\n\n**Step 1: Multiply the ones digit of both numbers.**\n\n- The ones digit of 12 is 2.\n- The ones digit of 14 is 4.\n\nSo, \\( 2 \\times 4 = 8 \\).\n\n**Step 2: Multiply the tens digits of both numbers.**\n\n- The tens digit of 12 is 1.\n- The tens ... | [
"The model output provides a detailed step-by-step multiplication process, but the final answer it concludes with is 128. The solution given is 168, which is the correct product of 12 and 14. Since the model's final answer does not match the solution, the output is incorrect.",
"The solution provided in the answe... | [
"128",
"128",
"128",
"168",
"168",
"148"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
true,
true,
false
] | [
"12",
"14"
] |
What is the solution to the long multiplication equation below?
23 x 60
Think step by step. | 1380 | [
"To solve the long multiplication problem \\( 23 \\times 60 \\), follow these steps:\n\n1. **Multiply the ones digit with the hundreds digit**: \n \\[\n 3 \\times 6 = 18\n \\]\n Write down 8 and bring down the 1 (from 23).\n\n2. **Multiply the ones digit with the tens digit**:\n \\[\n 3 \\times 6 = 18\n... | [
"The model output provides a detailed step-by-step explanation of multiplying 23 by 60, but the calculations shown are incorrect. It states multiplying 3 by 6 equals 18, which is correct, but then it says 'write down 8 and bring down the 1 (from 23)', which is confusing and inconsistent with standard multiplication... | [
"1380",
"1380",
"1380",
"1380",
"1380",
"1380"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"23",
"60"
] |
What is the solution to the long multiplication equation below?
23 x 60
Think step by step. | 1380 | [
"To solve the long multiplication problem \\( 23 \\times 60 \\), follow these steps:\n\n1. **Multiply the ones digit with the hundreds digit**: \n \\[\n 3 \\times 6 = 18\n \\]\n Write down 8 and bring down the 1 (from 23).\n\n2. **Multiply the ones digit with the tens digit**:\n \\[\n 3 \\times 6 = 18\n... | [
"The model output states that the solution to 23 x 60 is 1380, which matches the provided solution. The reasoning in the output attempts to explain the multiplication process, but the steps described are inconsistent and contain errors, such as multiplying 3 by 6 twice and the mention of 'hundreds digit' and 'tens ... | [
"1380",
"1380",
"1380",
"1380",
"1380",
"1380"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"23",
"60"
] |
What is the solution to the long multiplication equation below?
14 x 74
Think step by step. | 1036 | [
"Sure, let's break down the long multiplication step by step.\n\n1. **Set up the multiplication:**\n\n \\[\n 14 \\times 74\n \\]\n\n We start by multiplying \\( 14 \\) by each digit of \\( 74 \\), starting from the right.\n\n2. **Multiply 14 by 4:**\n\n \\[\n 14 \\times 4 = 56\n \\]\n\n Write \\( 56... | [
"The model output provides a step-by-step explanation of multiplying 14 by 74, culminating in the final answer '1036'. The solution given is also '1036'. The reasoning in the output correctly follows the multiplication process and arrives at the correct final answer, which matches the provided solution.",
"The mo... | [
"1036",
"1036",
"",
"1036",
"1036",
"1036"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
false,
true,
true,
true
] | [
"14",
"74"
] |
What is the solution to the long multiplication equation below?
74 x 14
Think step by step. | 1036 | [
"To solve the long multiplication problem 74 x 14, we follow these steps:\n\n1. Multiply 74 by 4 (the ones digit of 14):\n 74 x 4 = 296\n So we write down 6 and carry over 2 to the next step.\n\n2. Multiply 74 by 1 (the tens digit of 14) and add the carry-over amount:\n 74 x 1 = 74\n Adding the carry-over 2... | [
"The model output states that the final answer is 1016, which is derived from the step-by-step calculation. The solution provided is 1036, so the model's final answer does not match the solution.",
"The model output states, 'So the solution is 1016.' The provided solution to the multiplication 74 x 14 is 1036. Th... | [
"1016",
"1016",
"1016",
"10160",
"1016",
"1016"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"14",
"74"
] |
What is the solution to the long multiplication equation below?
49 x 10
Think step by step. | 490 | [
"To solve the long multiplication equation \\( 49 \\times 10 \\), we can follow these steps:\n\n1. **Understand the problem**: We need to multiply 49 by 10.\n\n2. **Recall the definition of multiplication**: When multiplying two numbers, we essentially add one number to itself as many times as the value of the othe... | [
"The output states '490' as the answer, which matches the solution provided ('490'). The reasoning in the output correctly explains the multiplication of 49 by 10, including the direct calculation and the use of multiplication rules.",
"The output states, 'So, the answer is 490,' which matches the solution provid... | [
"490",
"490",
"490",
"490",
"4900",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"10",
"49"
] |
What is the solution to the long multiplication equation below?
49 x 10
Think step by step. | 490 | [
"To solve the long multiplication equation \\( 49 \\times 10 \\), we can follow these steps:\n\n1. **Understand the problem**: We need to multiply 49 by 10.\n\n2. **Recall the definition of multiplication**: When multiplying two numbers, we essentially add one number to itself as many times as the value of the othe... | [
"The output states '490' as the answer, which matches the solution provided ('490'). The reasoning in the output correctly explains the multiplication of 49 by 10, leading to 490.",
"The output explicitly states, 'So, the answer is 490,' which matches the solution provided. The reasoning confirms that the final a... | [
"490",
"490",
"490",
"490",
"4900",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"10",
"49"
] |
What is the solution to the long multiplication equation below?
27 x 96
Think step by step. | 2592 | [
"To solve the long multiplication of 27 and 96, follow the steps below:\n\n1. Write the numbers one under the other.\n <image>\n2. Multiply 96 by 7.\n - 96 x 7 = 672, write down 672.\n - Carry the 6.\n <image>\n3. Multiply 96 by 2, and then add the carry.\n - 96 x 2 = 192, plus the 6 carry = 200, write do... | [
"The output states the final answer as 2572, which is different from the solution's answer of 2592. The reasoning in the output describes the steps of multiplication but concludes with 2572, which does not match the provided solution.",
"The model output states that the correct answer is 2532, which differs from ... | [
"2572",
"2532",
"The model did not provide a final answer; it only asked for verification.",
"2572",
"2572",
"2572"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"27",
"96"
] |
What is the solution to the long multiplication equation below?
27 x 96
Think step by step. | 2592 | [
"To solve the long multiplication of 27 and 96, follow the steps below:\n\n1. Write the numbers one under the other.\n <image>\n2. Multiply 96 by 7.\n - 96 x 7 = 672, write down 672.\n - Carry the 6.\n <image>\n3. Multiply 96 by 2, and then add the carry.\n - 96 x 2 = 192, plus the 6 carry = 200, write do... | [
"The output states the final answer as 2572, which is different from the solution's correct answer of 2592. The reasoning in the output describes the steps taken, but the final answer provided does not match the solution. Therefore, the output is incorrect.",
"The model output states that the correct answer is 25... | [
"2572",
"2532",
"The model output does not contain a final answer; it only asks for verification.",
"2572",
"2572",
"2572"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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",
"96"
] |
What is the solution to the long multiplication equation below?
96 x 27
Think step by step. | 2592 | [
"To solve the long multiplication equation \\( 96 \\times 27 \\), we break it down into simpler steps:\n\n1. ** m x n Definition**: Two numbers are said to be in a product form if they can be expressed as \\( m \\times n \\), where \\( m \\) and \\( n \\) are also integers. The product of such numbers follows the d... | [
"The solution states that the answer is 2592, but the model output provides a detailed calculation resulting in 7284. Since the question asks for the solution to 96 x 27, and the model's detailed calculation concludes with 7284, the final answer in the output does not match the solution. Therefore, the output is in... | [
"7284",
"7284",
"7044",
"",
"7284",
"7868"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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",
"96"
] |
What is the solution to the long multiplication equation below?
95 x 43
Think step by step. | 4085 | [
"To solve the long multiplication of 95 and 43, we multiply each digit of 95 by each digit of 43, and then add up the results. \n\nHere's the breakdown:\n\n### Step 1: Multiply 95 by 3 (the units digit of 43)\n\\[\n95 \\times 3 = 285\n\\]\n\n### Step 2: Multiply 95 by 4 (the tens digit of 43)\n\\[\n95 \\times 4 = 3... | [
"The solution states that the answer to 95 x 43 is 4085, but the detailed calculation in the model output concludes that the product is 4285. The model's detailed steps correctly multiply 95 by 43, resulting in 4285, which matches the calculation: 95 x 43 = 95 x (40 + 3) = 95 x 40 + 95 x 3 = 3800 + 285 = 4085. Howe... | [
"4285",
"4085",
"4285",
"4285",
"4285",
"4285"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
true,
false,
true,
false,
false
] | [
"43",
"95"
] |
What is the solution to the long multiplication equation below?
43 x 95
Think step by step. | 4085 | [
"To solve the long multiplication of \\(43 \\times 95\\), we break it into two parts: multiplying 43 by 90 (which is 95 minus 5) and then multiplying 43 by 5 (which is 90 minus 40).\n\n1. Multiply 43 by 90:\n\\[43 \\times 90 = 43 \\times (100 - 10) = 43 \\times 100 - 43 \\times 10 = 4300 - 430 = 4270\\]\n\n2. Multi... | [
"The output provides a detailed step-by-step calculation of 43 multiplied by 95, resulting in 4485. The solution given is 4085, which does not match the output's final answer. Since the output's final answer is 4485, and the solution states 4085, they are not the same.",
"The model output states that the correct ... | [
"4485",
"4285",
"4485",
"4270",
"4485",
"The output does not contain a final answer."
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
true,
false,
false,
false,
false
] | [
"43",
"95"
] |
What is the solution to the long multiplication equation below?
14 x 60
Think step by step. | 840 | [
"To solve the multiplication equation \\( 14 \\times 60 \\), we follow these steps:\n\n1. **Break down the multiplication**:\n \\[\n 14 \\times 60 = 14 \\times (6 \\times 10)\n \\]\n\n2. **Use the distributive property**:\n \\[\n 14 \\times (6 \\times 10) = (14 \\times 6) \\times 10\n \\]\n\n3. **Calcul... | [
"The model output correctly follows the steps to multiply 14 by 60, breaking it down into 14 times 6 times 10, calculating 14 times 6 as 84, then multiplying by 10 to get 840. The final answer quoted is '840', which matches the solution provided.",
"The model output concludes with 'So, the final answer is: 840', ... | [
"840",
"840",
"840",
"840",
"840",
"840"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
true,
true
] | [
"14",
"60"
] |
What is the solution to the long multiplication equation below?
25 x 80
Think step by step. | 2000 | [
"To solve the long multiplication problem \\( 25 \\times 80 \\), break it down into smaller steps:\n\n1. **Multiply 25 by 0**:\n \\[\n 25 \\times 0 = 0\n \\]\n\n2. **Multiply 25 by 80, knowing 80 can be written as 80 = 8 \\times 10**:\n \\[\n 25 \\times 80 = 25 \\times (8 \\times 10) = (25 \\times 8) \\ti... | [
"The model output correctly computes the multiplication step-by-step, ultimately arriving at 2000, which matches the solution provided. The reasoning includes breaking down 80 as 8×10, multiplying 25 by 8 to get 200, then multiplying by 10 to get 2000.",
"The model output is a question about the correctness of th... | [
"2000",
"2000",
"2000",
"2000",
"2000",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"25",
"80"
] |
What is the solution to the long multiplication equation below?
75 x 84
Think step by step. | 6300 | [
"To solve the long multiplication equation \\( 75 \\times 84 \\), follow these steps:\n\n0. **Write the numbers:** \n \\[\n \\begin{array}{c@{}c@{}c}\n & 7 & 5 \\\\\n \\times & 8 & 4 \\\\\n \\end{array}\n \\]\n\n1. **Multiply by the ones place of 84:**\n \\[\n 75 \\times 4 = 300\n \\]\n Write 00 u... | [
"The model output correctly performs the steps of long multiplication for 75 x 84, including multiplying 75 by 4 to get 300, then multiplying 75 by 8 to get 600, and combining these results to arrive at 6300. The final answer quoted is '6300', which matches the solution provided. Therefore, the output's final answe... | [
"6300",
"6300",
"2700",
"6300",
"6300",
"6300"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"75",
"84"
] |
What is the solution to the long multiplication equation below?
95 x 42
Think step by step. | 3990 | [
"Step 1: Multiply the units digit of the first number by the last digit of the second number.\n 9 x 2 = 18\n\n Step 2: Multiply the tens digit of the first number by the second number. eps\n\n 9 x 4 = 36\n Since we have a tens digit, we'll write this result before the 18.\n So, we have 18 + 360.\n\n Ste... | [
"The model output calculates the product of 95 and 42 as 378, which is different from the provided solution of 3990. The reasoning steps in the output are flawed: it multiplies 9 x 2 to get 18, then multiplies 9 x 4 to get 36, and combines these results as 18 + 360 = 378. However, this approach is incorrect because... | [
"378",
"3780",
"3780",
"4290",
"570",
"3780"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"42",
"95"
] |
What is the solution to the long multiplication equation below?
45 x 48
Think step by step. | 2160 | [
"To solve the long multiplication of \\( 45 \\) and \\( 48 \\), we follow these steps:\n\n1. **Multiply the ones place:**\n \\[\n 5 \\times 8 = 40\n \\]\n Write down 0 and carry over 4.\n\n2. **Multiply the tens place of the first number by the ones place of the second number:**\n \\[\n 5 \\times 4 = 20... | [
"The solution provided in the answer is 1840, which is different from the given solution of 2160. The model's detailed steps lead to 1840, indicating that the correct answer to 45 x 48 is 1840, not 2160. Therefore, the final answer in the output is 1840, which does not match the solution of 2160.",
"The model out... | [
"1840",
"3618",
"2160",
"2160",
"1840",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
true,
true,
false,
false
] | [
"45",
"48"
] |
What is the solution to the long multiplication equation below?
45 x 48
Think step by step. | 2160 | [
"To solve the long multiplication of \\( 45 \\) and \\( 48 \\), we follow these steps:\n\n1. **Multiply the ones place:**\n \\[\n 5 \\times 8 = 40\n \\]\n Write down 0 and carry over 4.\n\n2. **Multiply the tens place of the first number by the ones place of the second number:**\n \\[\n 5 \\times 4 = 20... | [
"The solution provided in the answer is 1840, which is different from the given solution 2160. The model's detailed steps lead to 1840, indicating that the correct answer to 45 x 48 is 1840, not 2160. Therefore, the final answer in the output is 1840, which does not match the solution 2160.",
"The model output st... | [
"1840",
"3618",
"2160",
"2160",
"1840",
""
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
true,
true,
false,
false
] | [
"45",
"48"
] |
What is the solution to the long multiplication equation below?
37 x 50
Think step by step. | 1850 | [
"To solve the long multiplication equation \\(37 \\times 50\\), follow the steps below:\n\n1. **Write the numbers**: Write the numbers in a vertical format, with the number you are multiplying, 37, under the 50.\n\n \\[\n \\begin{array}{r}\n 37 \\\\\n \\times 50 \\\\\n \\end{array}\n \\]\n\n2. **Multipl... | [
"The solution states that the answer to 37 x 50 is 1850, but the model output's calculation results in 150. The model's explanation is flawed because it incorrectly multiplies 3 by 5 to get 15, which is not the correct step in multiplying 37 by 50. The correct calculation should be 37 x 50 = 1850, as per the soluti... | [
"150",
"150",
"1850",
"1850",
"1900",
"150"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
true,
true,
false,
false
] | [
"37",
"50"
] |
What is the solution to the long multiplication equation below?
83 x 24
Think step by step. | 1992 | [
"To solve the multiplication problem \\( 83 \\times 24 \\), we can break it down step by step as follows:\n\n1. **Break it into smaller multiplications:**\n \\[\n 83 \\times 24 = (80 + 3) \\times 24\n \\]\n This allows us to handle it as two separate multiplications.\n\n2. **Multiply 80 by 24:**\n \\[\n ... | [
"The output provides a detailed step-by-step solution to the multiplication problem, breaking down 83 x 24 into (80 + 3) x 24, calculating 80 x 24 = 1920 and 3 x 24 = 72, then summing these to get 1992. The final answer given is 1992, which matches the solution provided. Therefore, the output correctly solves the p... | [
"1992",
"1992",
"",
"1992",
"517",
"1992.5"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
false,
true,
false,
false
] | [
"24",
"83"
] |
What is the solution to the long multiplication equation below?
24 x 83
Think step by step. | 1992 | [
"To solve the long multiplication equation 24 x 83, follow these steps:\n\n1. **Multiply 24 by 3 (the units digit of 83)**:\n - \\(24 \\times 3 = 72\\)\n - Write down 72\n\n2. **Multiply 24 by 8 (the tens digit of 83)**:\n - \\(24 \\times 8 = 192\\)\n - Bring down the 2 from above, making it 1922\n\n3. **Ad... | [
"The model output provides a step-by-step calculation for 24 x 83, resulting in 2004, and concludes with the answer 2004. The solution given is 1992, which does not match the model's final answer. Since the model's final answer is 2004, and the solution states 1992, the model's answer is incorrect with respect to t... | [
"2004",
"2004",
"2004",
"2004",
"The output does not contain a numerical answer.",
"2004"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"24",
"83"
] |
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