question string | solution string | model_responses sequence | is_model_response_correct__correctness_reasoning sequence | is_model_response_correct__final_answer sequence | is_model_response_correct__correctness_prompt sequence | is_model_response_correct sequence | args sequence |
|---|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
94 x 74
Think step by step. | 6956 | [
"To solve \\( 94 \\times 74 \\), we will follow these steps:\n\n1. **Break down the numbers**:\n \\( 94 = 100 - 6 \\)\n \\( 74 = 100 - 26 \\)\n\n2. **Apply the distributive property**:\n \\[\n 94 \\times 74 = (100 - 6) \\times (100 - 26)\n \\]\n Using the distributive property: \n \\[\n = 100 \\time... | [
"The model output correctly computes the multiplication of 94 and 74 by breaking down the problem using the distributive property, expanding, simplifying, and summing the terms. It concludes that the product is 6956, which matches the provided solution.",
"The model output provides a detailed step-by-step multipl... | [
"6956",
"6956",
"6956",
"6956",
"6956",
"6956"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
false,
true,
true,
true
] | [
"74",
"94"
] |
What is the solution to the long multiplication equation below?
31 x 41
Think step by step. | 1271 | [
"\\boxed{1311}",
"Hold on, let me verify this answer. Wait! I can double check this answer. To double-check it, we can add the numbers together:\n31 + 41 = 72\nNow, let's multiply the numbers we were given:\n31 x 41 = 1301\nOops! It seems I made a mistake in adding them together. Let me think this through again.\... | [
"The model output provides the answer '1311', but the correct solution to 31 x 41 is 1271, as given in the solution. Therefore, the model's answer does not match the correct solution.",
"The model output attempts to verify the answer by adding the numbers and then multiplying, but the calculations are incorrect. ... | [
"1311",
"1311",
"1301",
"1271",
"1311",
"1311"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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",
"41"
] |
What is the solution to the long multiplication equation below?
41 x 31
Think step by step. | 1271 | [
"To solve the long multiplication equation \\( 41 \\times 31 \\), follow these steps:\n\n1. **Set up the multiplication:** Write the numbers vertically, aligning the digits by place value.\n \n \\[\n \\begin{array}{r}\n 41 \\\\\n \\times 31 \\\\\n \\hline\n \\end{array}\n \\]\n\n2. **Multiply the nu... | [
"The output provides a detailed step-by-step explanation of multiplying 41 by 31, including partial products and addition, and concludes with the final answer '1271'. The solution states that the product of 41 and 31 is 1271, which matches the final answer given in the output. The reasoning in the output correctly ... | [
"1271",
"1301",
"173",
"173",
"1301",
"173"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"31",
"41"
] |
What is the solution to the long multiplication equation below?
48 x 64
Think step by step. | 3072 | [
"Step 1: Multiply the digits in the ones place:\n8 x 4 = 32\n\nStep 2: Multiply the digits in the tens place:\n4 x 6 = 24, then carry the 2 (from 32 above)\n\nStep 3: Add the results:\n2 (carried from 24 above) + 32 = 34\n\nSo the solution is 34.\n\n\\boxed{34}\n\nBut I need to verify this. Let's do the full multip... | [
"The output states 'So the solution is 34,' which conflicts with the correct calculation of 48 x 64 = 3072. The output's reasoning includes an incorrect step where it concludes the answer is 34, based on multiplying digits separately, which is not the correct approach for long multiplication. The final answer quote... | [
"34",
"34",
"3072",
"340",
"50032",
"3072"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"48",
"64"
] |
What is the solution to the long multiplication equation below?
48 x 64
Think step by step. | 3072 | [
"Step 1: Multiply the digits in the ones place:\n8 x 4 = 32\n\nStep 2: Multiply the digits in the tens place:\n4 x 6 = 24, then carry the 2 (from 32 above)\n\nStep 3: Add the results:\n2 (carried from 24 above) + 32 = 34\n\nSo the solution is 34.\n\n\\boxed{34}\n\nBut I need to verify this. Let's do the full multip... | [
"The output states 'So the solution is 34,' which contradicts the correct calculation of 48 x 64 = 3072. The output's reasoning includes an incorrect step where it concludes the product is 34, based on multiplying digits separately, which is not the correct approach for multiplication. The final answer quoted in th... | [
"34",
"34",
"3072",
"3400",
"50032",
"3072"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"48",
"64"
] |
What is the solution to the long multiplication equation below?
69 x 66
Think step by step. | 4554 | [
"To solve the long multiplication problem of 69 x 66, follow these steps:\n\n1. **Break down the numbers**: \n - 69 can be written as 60 + 9.\n - 66 can be written as 60 + 6.\n\n2. **Multiply each part of 69 by each part of 66**:\n\n (60 x 60) + (60 x 6) + (9 x 60) + (9 x 6)\n = 3600 + 360 + 540 + 54\n = ... | [
"The model output provides a detailed step-by-step explanation of multiplying 69 by 66 using the distributive property, resulting in the sum 4554. It concludes that the solution to 69 x 66 is 4554, which matches the provided solution.",
"The model output provides a detailed step-by-step verification of the multip... | [
"4554",
"4554",
"4554",
"4554",
"4554",
"4554"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
true,
true
] | [
"66",
"69"
] |
What is the solution to the long multiplication equation below?
58 x 13
Think step by step. | 754 | [
"Step 1: Multiply the units digit of 58 (which is 8) by the units digit of 13 (which is 3).\n\n8 x 3 = 24\n\nStep 2: Multiply the tens digit of 58 (which is 5) by the units digit of 13 (which is 3).\n\n5 x 3 = 15\n\nStep 3: Multiply the units digit of 58 (which is 8) by the tens digit of 13 (which is 1).\n\n8 x 1 =... | [
"The model output's final answer is '704', which matches the solution provided ('754') only if the solution was '704'. Since the solution states '754', and the model's final answer is '704', they do not match. The model's reasoning involves multiple steps, ultimately concluding the answer is 704, which is correct f... | [
"704",
"1254",
"",
"704",
"704",
"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
] | [
"13",
"58"
] |
What is the solution to the long multiplication equation below?
20 x 80
Think step by step. | 1600 | ["To solve this, we can start by multiplying the digits from the rightmost side of both numbers, pro(...TRUNCATED) | ["The output concludes that 20 x 80 = 1600, which matches the solution provided. The reasoning steps(...TRUNCATED) | [
"1600",
"1600",
"1600",
"1600",
"16000",
"1600"
] | ["You are given a question, a solution, and a model output. For the current output, reason step by s(...TRUNCATED) | [
true,
true,
true,
true,
false,
true
] | [
"20",
"80"
] |
What is the solution to the long multiplication equation below?
80 x 20
Think step by step. | 1600 | ["To solve the multiplication problem \\( 80 \\times 20 \\), we can break it down into simpler multi(...TRUNCATED) | ["The model output initially calculates 80 x 20 as 160, then corrects itself to 1600, which matches (...TRUNCATED) | [
"1600",
"1600",
"1600",
"1600",
"160",
"1600"
] | ["You are given a question, a solution, and a model output. For the current output, reason step by s(...TRUNCATED) | [
true,
true,
true,
true,
false,
true
] | [
"20",
"80"
] |
What is the solution to the long multiplication equation below?
66 x 97
Think step by step. | 6402 | ["Sure, let's solve the long multiplication problem 66 x 97 step by step.\n\n1. **Set up the multipl(...TRUNCATED) | ["The model output provides a detailed step-by-step calculation, ultimately concluding that 66 x 97 (...TRUNCATED) | [
"6462",
"6462",
"(No explicit numerical answer provided in the output)",
"6462",
"6462",
"6464"
] | ["You are given a question, a solution, and a model output. For the current output, reason step by s(...TRUNCATED) | [
false,
false,
false,
false,
false,
false
] | [
"66",
"97"
] |
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