messages listlengths 2 2 | labels stringclasses 2
values | images listlengths 1 1 | isBase64 bool 1
class | question stringlengths 23 718 | reference_answer stringlengths 52 1.71k | student_answer stringlengths 29 1.91k |
|---|---|---|---|---|---|---|
[
{
"role": "system",
"content": "You are a helpful assistant. You first thinks about the reasoning process in the mind and then provides the user with the answer."
},
{
"role": "user",
"content": "The following is a single image containing both a Question and a Student Answer. Your task is to ana... | Incorrect | [
"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAWPA8YDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgED... | true | Find the least number that must be subtracted from 5607 so as to get a perfect square. Also find the square root of the perfect square.
| Let us try to find \( \sqrt{5607} \) by long division method. We get the remainder 131. It shows that \( 74^2 \) is less than 5607 by 131. This means if we subtract the remainder from the number, we get a perfect square. Therefore, the required perfect square is \( 5607 - 131 = 5476 \). And, \( \sqrt{5476} = 74 \).
| Let us try to find \( \sqrt{5607} \) by long division method. We get the remainder 131. It shows that \( 74^2 \) is less than 5607 by 131. This means if we subtract the remainder from the number, we get a perfect square. Therefore, the required perfect square is \( 5607 - 131 = \textcolor{red}{5475} \). And, \( \sqrt{... |
[{"role":"system","content":"You are a helpful assistant. You first thinks about the reasoning proce(...TRUNCATED) | Incorrect | ["data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0(...TRUNCATED) | true | Find the direction cosines of \( x \), \( y \), and \( z \)-axis.
| " The \\( x \\)-axis makes angles \\( 0^\\circ \\), \\( 90^\\circ \\), and \\( 90^\\circ \\) respect(...TRUNCATED) | " The \\( x \\)-axis makes angles \\( 0^\\circ \\), \\( 90^\\circ \\), and \\( 90^\\circ \\) respect(...TRUNCATED) |
[{"role":"system","content":"You are a helpful assistant. You first thinks about the reasoning proce(...TRUNCATED) | Correct | ["data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0(...TRUNCATED) | true | "If \n\\[\nA = \\begin{bmatrix}\n-6 & 0 & 8 \\\\\n7 & -8 & 0 \n\\end{bmatrix}, \\quad\nB = \\begin{b(...TRUNCATED) | " Now, \n\\[\nA + B = \\begin{bmatrix}\n0 & 7 & 8 \\\\\n-5 & 0 & 10 \\\\\n8 & -6 & 0 \n\\end{bmatrix(...TRUNCATED) | " Now, \n\\[\nA + B = \\begin{bmatrix}\n0 & 7 & 8 \\\\\n-5 & 0 & 10 \\\\\n8 & -6 & 0 \n\\end{bmatrix(...TRUNCATED) |
[{"role":"system","content":"You are a helpful assistant. You first thinks about the reasoning proce(...TRUNCATED) | Incorrect | ["data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0(...TRUNCATED) | true | "Find a vector in the direction of vector \\( \\vec{a} = \\hat{i} - 2\\hat{j} \\) that has magnitude(...TRUNCATED) | " The unit vector in the direction of the given vector \\( \\vec{a} \\) is \n\\[\n\\hat{a} = \\frac{(...TRUNCATED) | " The unit vector in the direction of the given vector \\( \\vec{a} \\) is \n\\[\n\\textcolor{red}{\(...TRUNCATED) |
[{"role":"system","content":"You are a helpful assistant. You first thinks about the reasoning proce(...TRUNCATED) | Incorrect | ["data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0(...TRUNCATED) | true | "A die is thrown three times. Events A and B are defined as below: \nA : 4 on the third throw \nB (...TRUNCATED) | " The sample space has 216 outcomes. \nNow, \n\\[\nA = \\{(1,1,4), (1,2,4), \\ldots, (1,6,4), (2,1(...TRUNCATED) | " The sample space has 216 outcomes. \nNow, \n\\[\nA = \\{(1,1,4), (1,2,4), \\ldots, (1,6,4), (2,1(...TRUNCATED) |
[{"role":"system","content":"You are a helpful assistant. You first thinks about the reasoning proce(...TRUNCATED) | Correct | ["data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0(...TRUNCATED) | true | "Line through the points \\((-2, 6)\\) and \\((4, 8)\\) is perpendicular to the line through the poi(...TRUNCATED) | " \n\nSlope of the line through the points \\((-2, 6)\\) and \\((4, 8)\\) is \n\\[\nm_1 = \\frac{8 -(...TRUNCATED) | " \n\nSlope of the line through the points \\((-2, 6)\\) and \\((4, 8)\\) is \n\\[\nm_1 = \\frac{8 -(...TRUNCATED) |
[{"role":"system","content":"You are a helpful assistant. You first thinks about the reasoning proce(...TRUNCATED) | Incorrect | ["data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0(...TRUNCATED) | true | Evaluate \( \int_0^{\frac{\pi}{2}} \log \sin x \, dx \)
| " \n\nLet \\( I = \\int_0^{\\frac{\\pi}{2}} \\log \\sin x \\, dx \\).\n\nThen, by using the property(...TRUNCATED) | " \n\nLet \\( I = \\int_0^{\\frac{\\pi}{2}} \\log \\sin x \\, dx \\).\n\nThen, by using the property(...TRUNCATED) |
[{"role":"system","content":"You are a helpful assistant. You first thinks about the reasoning proce(...TRUNCATED) | Incorrect | ["data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0(...TRUNCATED) | true | "What is \\(\\frac{\\log \\sqrt{8}}{\\log 8}\\) equal to?\n\n\\begin{enumerate}\n \\item[A)] \\(\(...TRUNCATED) | " Option C\n\\[\n\\frac{\\log \\sqrt{8}}{\\log 8} = \\frac{\\log (8)^{1/2}}{\\log 8} = \\frac{\\frac(...TRUNCATED) | " Option C\n\\[\n\\frac{\\log \\sqrt{8}}{\\log 8} = \\frac{\\log (8)^{1/2}}{\\log 8} = \\frac{\\text(...TRUNCATED) |
[{"role":"system","content":"You are a helpful assistant. You first thinks about the reasoning proce(...TRUNCATED) | Incorrect | ["data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0(...TRUNCATED) | true | Check the points where the constant function \( f(x) = k \) is continuous.
| " The function is defined at all real numbers and by definition, its value at any real number equals(...TRUNCATED) | " The function is defined at all real numbers and by definition, its value at any real number equals(...TRUNCATED) |
[{"role":"system","content":"You are a helpful assistant. You first thinks about the reasoning proce(...TRUNCATED) | Incorrect | ["data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0(...TRUNCATED) | true | If \( P = \{1, 2\} \), form the set \( P \times P \times P \).
| " We have, \\( P \\times P \\times P = \\{(1,1,1), (1,1,2), (1,2,1), (1,2,2), (2,1,1), (2,1,2), (2,2(...TRUNCATED) | " We have, \\( P \\times P \\times P = \\{(1,1,1), (1,1,2), (1,2,1), (1,2,2), (2,1,1), (2,1,2), (2,2(...TRUNCATED) |
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This is the train/test split of the FERMAT dataset used in our paper.
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