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 the multiplication problem \\( 94 \\times 76 \\) using long multiplication, follow these steps:\n\n1. **Break down the numbers:**\n \\[\n 94 = 90 + 4\n \\]\n \\[\n 76 = 70 + 6\n \\]\n\n2. **Multiply each part of the first number by each part of the second number:**\n \\[\n 90 \\times 70 = ... | [
"The question asks for the solution to 94 x 74, but the model output computes 94 x 76, which is a different problem. The solution provided in the initial statement is 6956, which is the correct answer for 94 x 74. The model's output incorrectly addresses 94 x 76, not 94 x 74, and concludes with 7144, which is the p... | [
"7144",
"No answer provided",
"",
"7144",
"6956",
"7144"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"74",
"94"
] |
What is the solution to the long multiplication equation below?
31 x 41
Think step by step. | 1271 | [
"\\boxed{1241}",
"Wait! I can double check this answer. Let's break it down step by step:\n\n1. Multiply 31 by 1 (the units place of 41): \n 31 x 1 = 31\n\n2. Multiply 31 by 40 (the tens place of 41):\n 31 x 40 = 31 x 4 x 10 = 124 x 10 = 1240\n\n3. Now, add the results from steps 1 and 2:\n 31 + 1240 = 1271... | [
"The model output provides the answer '1241', but the correct solution to 31 x 41 is 1271, as given in the solution. Since the output's answer does not match the correct solution, it is incorrect.",
"The model output confirms the calculation steps and concludes that 31 x 41 = 1271, matching the solution provided.... | [
"1241",
"1271",
"1241",
"1241",
"1241",
"1241"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
true,
false,
false,
false,
false
] | [
"31",
"41"
] |
What is the solution to the long multiplication equation below?
41 x 31
Think step by step. | 1271 | [
"To solve the multiplication problem \\(41 \\times 31\\), we can use the standard method of long multiplication. Let's break it down step by step.\n\n1. Write the numbers one under the other, aligning the digits by place value:\n \\[\n \\begin{array}{c@{}c@{}c}\n & 4 & 1 \\\\\n \\times & 3 & 1 \\\\\n \\... | [
"The model output provides a detailed step-by-step explanation of multiplying 41 by 31, but the final computed answer in the explanation is 1241. The solution given is 1271, which does not match the model's final answer. Therefore, the model's final answer is incorrect with respect to the solution.",
"The model o... | [
"1241",
"1241",
"1241",
"1241",
"1271",
"1241"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"31",
"41"
] |
What is the solution to the long multiplication equation below?
48 x 64
Think step by step. | 3072 | [
"Let's solve the multiplication problem step by step:\n\n1. First, let's count the number of digits in the multiplicand and the multiplier. We can divide both numbers into tens and ones: 48 is 4 tens and 64 is 6 tens 4 ones.\n2. Then, multiply the 4 tens by the 6 tens: 4 x 6 = 24. BeastIDs, or rather us, will notic... | [
"The solution provided in the solution section is 3072, which is the correct product of 48 and 64. The model output, however, concludes with an answer of 32240, which does not match the solution. The model's reasoning contains errors, such as miscalculations and incorrect steps, leading to an incorrect final answer... | [
"32240",
"2982",
"3312",
"32240",
"32240",
"31520"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] | [
"48",
"64"
] |
What is the solution to the long multiplication equation below?
48 x 64
Think step by step. | 3072 | [
"Let's solve the multiplication problem step by step:\n\n1. First, let's count the number of digits in the multiplicand and the multiplier. We can divide both numbers into tens and ones: 48 is 4 tens and 64 is 6 tens 4 ones.\n2. Then, multiply the 4 tens by the 6 tens: 4 x 6 = 24. BeastIDs, or rather us, will notic... | [
"The solution provided by the model output is '32240', which is different from the given solution '3072'. The model's reasoning involves multiple steps, but the final answer it arrives at is '32240'. Since the solution to 48 x 64 is 3072, the model's final answer is incorrect. The model's reasoning contains errors,... | [
"32240",
"2982",
"3312",
"32240",
"32240",
"31520"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
false,
false
] | [
"48",
"64"
] |
What is the solution to the long multiplication equation below?
69 x 66
Think step by step. | 4554 | [
"To solve the long multiplication equation 69 x 66, follow these step-by-step calculations:\n\n1) Break down 66 into 60 + 6:\n\n 69 x (60 + 6)\n\n2) Distribute the 69 across the sum:\n\n (69 x 60) + (69 x 6)\n\n3) Calculate each multiplication:\n\n 4140 + 414\n\n4) Add the results together:\n\n 4554\n\nThe ... | [
"The model output provides a step-by-step calculation that correctly breaks down 66 into 60 + 6, distributes the multiplication, computes each part as 4140 and 414, and sums them to get 4554. It then states that the solution to 69 x 66 is 4554, which matches the provided solution. Therefore, the final answer in the... | [
"4554",
"4554",
"4554",
"Hold on, let me verify this answer. 搜狐首页.",
"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,
false,
false,
true
] | [
"66",
"69"
] |
What is the solution to the long multiplication equation below?
58 x 13
Think step by step. | 754 | [
"To solve the long multiplication equation 58 x 13, we can use the standard algorithm.\n\n58\nx 13\n-----\n58\n580\n-----\n744\n\nSo the solution is: \\boxed{744}",
"But to confirm, let's break it down step by step:\n\n1) Multiply 58 by 3 (the ones digit of 13):\n 58 x 3 = 174\n\n2) Multiply 58 by 10 (the tens ... | [
"The model output provides a step-by-step calculation of 58 x 13, resulting in 744, and then states 'So the solution is: 744'. The solution given in the problem is 754, which does not match the model's final answer. Therefore, the model's final answer is incorrect with respect to the provided solution.",
"The out... | [
"744",
"744",
"635",
"744",
"744",
"744"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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 the long multiplication problem \\( 20 \\times 80 \\):\n\n1. Write the numbers one above the other, aligning them by place value:\n \n \\[\n \\begin{array}{c@{}c@{}c@{}c}\n & 20 \\\\\n \\times & 80 \\\\\n \\end{array}\n \\]\n\n2. Multiply the number on the rightmost digit of the second num... | [
"The model output concludes that the final answer is 1600, which matches the solution provided (1600). The reasoning process in the output attempts to perform long multiplication step by step, but contains inaccuracies in the detailed steps. However, the final answer given is correct and matches the solution.",
"... | [
"1600",
"1600",
"",
"1600",
"1600",
"1600"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
false,
true,
true,
true
] | [
"20",
"80"
] |
What is the solution to the long multiplication equation below?
80 x 20
Think step by step. | 1600 | [
"To solve the equation \\(80 \\times 20\\), let's break it down step by step:\n\n1. **Multiplication of Units Place**: \n -钟楼 ( Zhonglou ) shows 8 and 2. When we multiply the units digit of 80 by that of 20, we get \\(8 \\times 2 = 16\\).\n \n2. **Multiplication of Tens Place**:\n -词典 (cht) shows 0 from 80. W... | [
"The output states that the product of 80 and 20 is 1600, which matches the solution provided. The reasoning in the output confirms the multiplication result as 1600, aligning with the solution.",
"The model output does not provide a final answer to the multiplication problem but instead states 'Hold on, let me v... | [
"1600",
"",
"1600",
"",
"1600",
"1600"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
false,
true,
false,
true,
true
] | [
"20",
"80"
] |
What is the solution to the long multiplication equation below?
66 x 97
Think step by step. | 6402 | [
"To solve the long multiplication problem \\( 66 \\times 97 \\), let's break it down into steps:\n\n1. **Multiply 66 by the units place of 97 (which is 7):**\n \\[\n 66 \\times 7 = 462\n \\]\n\n2. **Multiply 66 by the tens place of 97 (which is 9) and remember to carry over the result:**\n \\[\n (66 \\tim... | [
"The model output concludes that the solution to 66 x 97 is 6022, which is different from the provided solution of 6402. The reasoning in the output shows a miscalculation: it computes 66 x 7 = 462, then 66 x 9 = 594, and adds 462 + 594 = 1056, then adds 462 + 1056 = 1518, which is inconsistent with the standard mu... | [
"6022",
"6022",
"11962",
"6022",
"6022",
"6402"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
true,
false,
false,
true,
true
] | [
"66",
"97"
] |
What is the solution to the long multiplication equation below?
97 x 66
Think step by step. | 6402 | [
"To solve the long multiplication of 97 x 66, let's break it down step by step:\n\n1. First, we'll break the problem into smaller parts using the distributive property of multiplication over addition:\n\n 97 x 66 = 97 x (60 + 6)\n\n2. Now, we'll multiply 97 by each part:\n\n 97 x 60 = 97 x (6 x 10) = 97 x 6 x 1... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 97 x 66, ending with the answer 6402, which matches the solution provided. The reasoning is consistent and correctly applies the distributive property, leading to the final answer.",
"The model output provides a detailed ste... | [
"6402",
"6402",
"6402",
"6402",
"6402",
"6402"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
true,
true
] | [
"66",
"97"
] |
What is the solution to the long multiplication equation below?
45 x 65
Think step by step. | 2925 | [
"To solve the multiplication problem \\(45 \\times 65\\), we can proceed step by step using the standard algorithm for multiplication.\n\n1. **Break down the numbers:**\n - \\(45\\) can be considered as \\(40 + 5\\).\n - \\(65\\) can be considerd as \\(60 + 5\\).\n\n2. **Multiply each part of the first number b... | [
"The model output concludes with the answer '2925' and provides a detailed step-by-step multiplication process that confirms this result. The solution also states that the product of 45 and 65 is 2925. Since the model's final answer matches the solution, and the reasoning aligns with the correct multiplication proc... | [
"2925",
"2925",
"2925",
"2925",
"2925",
"3250"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"45",
"65"
] |
What is the solution to the long multiplication equation below?
12 x 55
Think step by step. | 660 | [
"Certainly! Let's solve the equation step by step.\n\n1. **First, let's write down the multiplication problem:**\n \\[\n 12 \\times 55\n \\]\n\n2. **Break down the numbers:**\n - The number \\(12\\) can be broken into \\(10 + 2\\).\n - The number \\(55\\) can be broken into \\(50 + 5\\).\n\n So, we rewr... | [
"The model output provides a detailed step-by-step solution to the multiplication problem 12 x 55, breaking down the numbers, applying the distributive property, calculating each term, and summing the results to arrive at 660. The final answer given in the output is '660', which matches the solution provided. There... | [
"660",
"",
"660",
"660",
"660",
"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 ... | [
true,
false,
true,
true,
true,
true
] | [
"12",
"55"
] |
What is the solution to the long multiplication equation below?
16 x 83
Think step by step. | 1328 | [
"To solve the long multiplication problem \\(16 \\times 83\\), we will follow the steps of the standard algorithm for multiplication. Here are the steps:\n\n1. Break down the multiplication into simpler parts by using the distributive property of multiplication over addition:\n \\[\n 16 \\times 83 = 16 \\times ... | [
"The model output provides a detailed step-by-step solution to the multiplication problem, ending with the final answer '1328'. The solution given in the prompt is also '1328'. Since the model's final answer matches the provided solution, and the reasoning is correct and thorough, the output is correct.",
"The ou... | [
"1328",
"1328",
"1328",
"1328",
"The model output does not contain a final answer.",
"1328"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
false,
true
] | [
"16",
"83"
] |
What is the solution to the long multiplication equation below?
62 x 80
Think step by step. | 4960 | [
"Certainly! Let's solve the multiplication equation step by step.\n\n**Step 1:**目视估计\n62 x 80大约等于\n60 x 80 = 4800\n\n**Step 2:** 准确计算\n62 x 80 = 62 x (8 x 10) = 62 x 8 x 10 = 496 x 10 = 4960\n\nSo, the answer is 4960.",
"Hold on, let me verify this answer. It's important to get the exact multiplication right.\n\n... | [
"The model output concludes with 'So, the answer is 4960,' which matches the solution provided ('4960'). The reasoning steps include an estimation (60 x 80 = 4800) and an exact calculation (62 x 80 = 62 x 8 x 10 = 496 x 10 = 4960). Since the final answer in the output matches the solution, and the reasoning is corr... | [
"4960",
"4960",
"4960",
"4960",
"4960",
"4960"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
true,
true,
true,
true,
true,
true
] | [
"62",
"80"
] |
What is the solution to the long multiplication equation below?
80 x 62
Think step by step. | 4960 | [
"To solve the long multiplication equation 80 x 62, we will multiply 80 by each digit of 62 and place the results in the appropriate columns for multiplication and addition.\n\nStep 1: Multiply 80 by 2 (the units digit of 62).\n80 x 2 = 160\nNow place this result in the multiplication column, shifted one place to t... | [
"The output provides a detailed step-by-step explanation of multiplying 80 by 62, resulting in 6400. The solution given is 4960, which does not match the final answer in the output. Therefore, the output's final answer is incorrect with respect to the solution.",
"The model output concludes that the answer is 640... | [
"6400",
"6400",
"6400",
"6400",
"6400",
"5440"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"62",
"80"
] |
What is the solution to the long multiplication equation below?
80 x 62
Think step by step. | 4960 | [
"To solve the long multiplication equation 80 x 62, we will multiply 80 by each digit of 62 and place the results in the appropriate columns for multiplication and addition.\n\nStep 1: Multiply 80 by 2 (the units digit of 62).\n80 x 2 = 160\nNow place this result in the multiplication column, shifted one place to t... | [
"The model output provides a detailed step-by-step calculation of 80 x 62, ultimately concluding that the answer is 6400. The solution states that the correct answer is 4960. Since the model's final answer (6400) does not match the solution (4960), the output is incorrect.",
"The model output states the final ans... | [
"6400",
"6400",
"6400",
"6400",
"6400",
"5440"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant 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
] | [
"62",
"80"
] |
What is the solution to the long multiplication equation below?
94 x 53
Think step by step. | 4982 | [
"To solve the long multiplication of 94 and 53, follow these steps:\n\n1. Write the numbers one under the other, aligning them by place value.\n ```\n 94\n x 53\n ```\n\n2. Multiply 94 by 3 (the ones digit of 53):\n ```\n 94\n x 53\n -----\n 282 (94 x 3)\n 470\n -----\n ```\n So, ... | [
"The model output provides a detailed step-by-step calculation of 94 x 53, resulting in 4942. The solution given is 4982, which does not match the model's computed answer. Therefore, the model's final answer is 4942, which is incorrect with respect to the provided solution.",
"The model output first calculates 94... | [
"4942",
"4942",
"4942",
"1806",
"4942",
"4982"
] | [
"You are given a question, a solution, and a model output. For the current output, reason step by step about whether it is correct with respect to the solution. Quote the relevant parts of the output and explain your reasoning. Parse the final answers value and then return a boolean field 'is_correct' (True if the ... | [
false,
false,
false,
false,
true,
true
] | [
"53",
"94"
] |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 3