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082379 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is the water level proportional to the number of hours passed?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Is the water level increasing at a constant rate each hour?\n Every additional hour, does the water level increase by the same amount?\n Yes So the answer is A\nAnswer: Yes"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082379.png | 082379 |
082191 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Find the area that is inside both $r=1-\\sin \\theta$ and $r=2+\\sin \\theta$."
},
{
"from": "gpt",
"value": "Now, we'll need to determine the values of $\\theta$ where the graphs intersect (indicated by the black lines on the graph in the previous step).\nThere are easy enough to find. Because they are where the graphs intersect we know they must have the same value of $r$. So,\n$$\n\\begin{aligned}\n2+\\sin \\theta & =1-\\sin \\theta \\\\\n\\sin \\theta & =-\\frac{1}{2} \\quad \\Rightarrow \\quad \\theta=\\sin ^{-1}\\left(-\\frac{1}{2}\\right)=-\\frac{\\pi}{6}\n\\end{aligned}\n$$\n\nThis is one possible value for the angle in the fourth quadrant where the graphs intersect. From a quick sketch of a unit circle we can see that a second possible value for this angle is,\n$$\n\\theta=2 \\pi-\\frac{\\pi}{6}=\\frac{11 \\pi}{6}\n$$\n\nFrom a quick sketch of a unit circle we can quickly get a value for the angle in the third quadrant where the two graphs intersect.\n$$\n\\theta=\\pi+\\frac{\\pi}{6}=\\frac{7 \\pi}{6}\n$$\n\nOkay. We now have a real problem. Recall that the angles must go from smaller to larger values and as they do that they must trace out the boundary curves of the enclosed area.\n\nIf we use $-\\frac{\\pi}{6} \\leq \\theta \\leq \\frac{7 \\pi}{6}$ we actually end up tracing out the large \"open\" or unshaded region that lies above the shaded region.\nLikewise, if we use $\\frac{7 \\pi}{6} \\leq \\theta \\leq \\frac{11 \\pi}{6}$ we actually end up tracing out the smaller \"open\" or unshaded region that lies below the shaded region.\nIn other words, we can't find the shaded area simply by using the formula from this section.\n\nAs we saw in the previous step we can't just compute an integral in order to get the area of the shaded region. However, that doesn't mean that we can't find the area of the shaded region. We just need to work a little harder at it for this problem.\n\nTo find the area of the shaded area we can notice that the shaded area is really nothing more than the remainder of the area inside $r=2+\\sin \\theta$ once we take out the portion that is also outside $r=1-\\sin \\theta$.\n\nAnother way to look at is that the shaded area is simply the remainder of the area inside $r=1-\\sin \\theta$ once we take out the portion that is also outside $r=2+\\sin \\theta$.\n\nWe can use either of these ideas to find the area of the shaded region. We'll use the first one for no other reason that it was the first one listed.\n\nIf we knew the total area that is inside $r=2+\\sin \\theta$ (which we can find with a simple integral) and if we also knew the area that is inside $r=2+\\sin \\theta$ and outside $r=1-\\sin \\theta$ then the shaded area is nothing more than the difference between these two areas.\nOkay, let's start this off by getting the total area that is inside $r=2+\\sin \\theta$. This can be found by evaluating the following integral.\n$$\n\\begin{aligned}\nA & =\\int_0^{2 \\pi} \\frac{1}{2}(2+\\sin \\theta)^2 d \\theta \\\\\n& =\\frac{1}{2} \\int_0^{2 \\pi} 4+4 \\sin \\theta+\\sin ^2(\\theta) d \\theta \\\\\n& =\\frac{1}{2} \\int_0^{2 \\pi} 4+4 \\sin \\theta+\\frac{1}{2}(1-\\cos (2 \\theta)) d \\theta \\\\\n& =\\frac{1}{2} \\int_0^{2 \\pi} \\frac{9}{2}+4 \\sin \\theta-\\frac{1}{2} \\cos (2 \\theta) d \\theta \\\\\n& =\\left.\\frac{1}{2}\\left(\\frac{9}{2} \\theta-4 \\cos (\\theta)-\\frac{1}{4} \\sin (2 \\theta)\\right)\\right|_0 ^{2 \\pi}=\\frac{9 \\pi}{2}\n\\end{aligned}\n$$\n\nNote that we need to do a full \"revolution\" to get all the area inside $r=2+\\sin \\theta$ and so we used the range $0 \\leq \\theta \\leq 2 \\pi$ for this integral.\n\nNow, the area that is inside $r=2+\\sin \\theta$ and outside $r=1-\\sin \\theta$ is,\n$$\n\\begin{aligned}\nA & =\\int_{-\\frac{\\pi}{6}}^{\\frac{7 \\pi}{6}} \\frac{1}{2}\\left[(2+\\sin \\theta)^2-(1-\\sin \\theta)^2\\right] d \\theta \\\\\n& =\\frac{1}{2} \\int_{-\\frac{\\pi}{6}}^{\\frac{7 \\pi}{6}} 3+6 \\sin \\theta d \\theta \\\\\n& =\\left.\\frac{1}{2}(3 \\theta-6 \\cos (\\theta))\\right|_{-\\frac{\\pi}{6}} ^{\\frac{7 \\pi}{6}}=2 \\pi+3 \\sqrt{3}\n\\end{aligned}\n$$\n\nFinally, the shaded area is simply,\n$$\nA=\\frac{9 \\pi}{2}-(2 \\pi+3 \\sqrt{3})=\\frac{5}{2} \\pi-3 \\sqrt{3}=2.6578\n$$ So the answer is 2.6578\nThe answer is 2.6578"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082191.png | 082191 |
064295 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, determine the population size of cats in Brazil in the year 1970."
},
{
"from": "gpt",
"value": "Look for the data point where the row for the year 1970 meets the Brazil column in the table, which shows figures in millions. So the answer is 17 million\nThe answer is 17 million"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/064295.png | 064295 |
055849 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what type of angles are angles OAP?"
},
{
"from": "gpt",
"value": "As AP is tangent to the circle at A and OA is the radius, the properties of a circle tell us that angle OAP, formed by the radius and the tangent, is a right angle. So the answer is right angle\nThe answer is right angle"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055849.png | 055849 |
065916 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, which goal range had the highest number of scoring team members?"
},
{
"from": "gpt",
"value": "To find out which goal range had the highest scoring team members, observe and compare the count of 'X's across all goal columns in the image. The column with the most X's indicates the goal range with the highest number of scorers. So the answer is Compare the counts of X’s in each goal column to find the highest.\nThe answer is Compare the counts of X’s in each goal column to find the highest."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065916.png | 065916 |
068115 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, classify the number $\\frac{\\pi}{3}$ as rational or irrational."
},
{
"from": "gpt",
"value": "Rational numbers can be expressed as a fraction with an integer numerator and a non-zero integer denominator. Irrational numbers cannot be expressed as such fractions. Since $\\pi$ itself is an irrational number, dividing it by an integer, 3, results in a number $\\frac{\\pi}{3}$ which cannot be expressed as a fraction using only integers. Thus, $\\frac{\\pi}{3}$ remains an irrational number. So the answer is $\\frac{\\pi}{3}$ is an irrational number.\nThe answer is $\\frac{\\pi}{3}$ is an irrational number."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/068115.png | 068115 |
042821 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what can be inferred about the relationship between consecutive points?\nChoices:\nA. They are equally spaced\nB. The spacing doubles\nC. The spacing reduces by half\nD. The spacing remains constant"
},
{
"from": "gpt",
"value": "The spacing appears to double, which aligns with the points representing a geometric sequence with a ratio of 2. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/042821.png | 042821 |
025448 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the slope of the temperature change curve?\nChoices:\nA. 0.2\nB. 0.5\nC. 1\nD. 1.5"
},
{
"from": "gpt",
"value": "The slope of the line can be determined by calculating the rise over the run between two points on the graph. The slope is the change in temperature per unit time. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/025448.png | 025448 |
079357 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Form an expression for the area of the pentagon in terms of x. Leave your answer in expanded form."
},
{
"from": "gpt",
"value": "The area of the pentagon is equal to the sum of the area of the rectangle and the area of the triangle.\n\nThe height of the triangle can be found using Pythagoras' Theorem $a^{2}+b^{2}=c^{2}$.\n\nArea $=8 x y+\\frac{1}{2} \\times 8 x \\sqrt{(5 x)^{2}-(4 x)^{2}}$\n\nSince $y=45-9 x$, we can replace $y$ with $45-9 x$.\n\nArea $=8 x(45-9 x)+\\frac{1}{2} \\times 8 x \\sqrt{(5 x)^{2}-(4 x)^{2}}$\n\nSimplify the squares under the square root.\n\nArea $=8 x(45-9 x)+\\frac{1}{2} \\times 8 x \\sqrt{25 x^{2}-16 x^{2}}$\n\nSimplify the expression under the square root.\n\nArea $=8 x(45-9 x)+\\frac{1}{2} \\times 8 x \\sqrt{9 x^{2}}$\n\nSimplify the square root.\n\n$\\sqrt{A^{2} B^{2}}=A B$\n\nArea $=8 x(45-9 x)+\\frac{1}{2} \\times 8 x(3 x)$\n\nSimplify the product.\n\nArea $=8 x(45-9 x)+12 x^{2}$\n\nExpand the brackets.\n\nArea $=360 x-72 x^{2}+12 x^{2}$\n\nCombine like terms.\n\nArea $=360 x-60 x^{2}$ So the answer is Area $=360 x-60 x^{2}$\nThe answer is Area $=360 x-60 x^{2}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079357.png | 079357 |
016222 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, which mathematical principles apply when resolving triangle V W X for its area?\nChoices:\nA. Trigonometric ratios\nB. Law of Sines and area formula\nC. Equivalent ratios\nD. Matrix operations"
},
{
"from": "gpt",
"value": "For computing the area, the Law of Sines coupled with the formula for the area of a triangle using two sides and the sin of the included angle is utilized. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016222.png | 016222 |
058682 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the exact value of the product (R + r) x (L + R - r) for given R, L, and r?"
},
{
"from": "gpt",
"value": "Calculate the sum of the radii (R + r), then calculate (L + R - r) by simplifying inside the brackets, and finally, multiply these two results together. So the answer is 204\nThe answer is 204"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/058682.png | 058682 |
002285 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, find the area of the triangle.\nChoices:\nA. 1/2 * base * height\nB. base * height\nC. 1/2 * (base + height)\nD. base + height"
},
{
"from": "gpt",
"value": "The area of a right triangle is calculated as half the product of lengths of its base and height. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/002285.png | 002285 |
084463 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: In the figure, $A B C D$ is a rectangle. Points $P, Q, R, S$, and $T$ cut side $A B$ of the rectangle such that $A P=$ $3, P Q=Q R=R S=S T=1 . E$ is a point on $A D$ such that $A E=3$. Which one of the following line segments is parallel to the diagonal $B D$ of the rectangle?\nChoices:\nA. $E P$\nB. $E Q$\nC. $E R$\nD. $E S$\nE. $E T$"
},
{
"from": "gpt",
"value": "Let $X$ represent the point on $A B$ that makes $E X$ parallel to the diagonal $B D$. Then $\\triangle A X E$ and $\\triangle A B D$ must be similar because\n\n$$\n\\begin{aligned}\n& \\angle E A X=\\angle D A B \\quad \\text { common angles } \\\\\n& \\angle A E X=\\angle A D B \\quad \\text { corresponding angles are equal }\n\\end{aligned}\n$$\n\nHence, the sets of corresponding angles are equal and the triangles are similar.\n\nHence, the corresponding sides of the triangles must be in the same ratio. This yields the following equations:\n\n$$\n\\begin{aligned}\n& A E / A D=A X / A B \\\\\n& 3 / 9=A X / 15 \\\\\n& A X=15 \\times 3 / 9=15 \\times 1 / 3=5\n\\end{aligned}\n$$\n\nHence, the point $X$ is 5 units away from the point $A$ on the side $A B$. Now,\n\n$A P=3 \\neq A X$, which equals 5\n\n$A Q=A P+P Q=3+1=4 \\neq A X$, which equals 5 .\n\n$A R=A P+P Q+Q R=3+1+1=5=A X$, which equals 5\n\nHence, point $R$ coincides with point $X$ and therefore just like $E X, E R$ must be parallel to $B D$. Hence, the answer is $E R$. So the answer is C\nAnswer: $E R$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084463.png | 084463 |
052545 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the angle $x$ at the circumference for a central angle measuring $180^\\circ$?"
},
{
"from": "gpt",
"value": "Using the property of circles where the central angle is twice the circumference angle, with a central angle of $180^\\circ$, we find:\n$x = \\frac{180}{2}$\n(Angle at the centre of a circle is twice the angle at its circumference)\nSolve for $x$.\n$x = 90$\n(Angle at the centre of a circle is twice the angle at its circumference) So the answer is $x = 90$ (Angle at the centre of a circle is twice the angle at its circumference)\nThe answer is $x = 90$ (Angle at the centre of a circle is twice the angle at its circumference)"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052545.png | 052545 |
004063 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, which rule can be used to find an angle if all side lengths are known?\nChoices:\nA. Sine rule\nB. Cosine rule\nC. Tangent rule\nD. Cotangent rule"
},
{
"from": "gpt",
"value": "When all side lengths of a triangle are known and we need to find an angle, the Cosine rule is applicable. It relates the lengths of the sides of a triangle to the cosine of one of its angles using the formula: \n $$ \\cos C = \\frac{a^2 + b^2 - c^2}{2ab} $$ So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/004063.png | 004063 |
030674 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what type of graph is displayed?\nChoices:\nA. Line graph\nB. Bar chart\nC. Pie chart\nD. Histogram"
},
{
"from": "gpt",
"value": "The graph in the image is a line graph, as it shows data points connected by straight line segments. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/030674.png | 030674 |
031752 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, where is the graph shaded relative to the line?\nChoices:\nA. Above the line\nB. Below the line\nC. On the line\nD. Both sides of the line"
},
{
"from": "gpt",
"value": "The graph's shading indicates where the y-values lie in relation to the inequality. The image shows shading above the line, which suggests that y-values are greater than those on the line itself. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/031752.png | 031752 |
030812 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many solutions does the equation represented by the graph have?\nChoices:\nA. 1\nB. 2\nC. 3\nD. 0"
},
{
"from": "gpt",
"value": "Counting the number of points where the graph crosses or touches the x-axis helps in determining the number of solutions to the equation. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/030812.png | 030812 |
078317 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: In 1970, did nuclear energy account for approximately 6% of non-greenhouse energy?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The analysis shows that nuclear energy accounted for approximately $0.24 / 4.31 \\times 100 \\%=5.6\\%$ of non-greenhouse energy in 1970, which is not about 6%. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/078317.png | 078317 |
013336 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what ratio is used to find the length of $DF$?\nChoices:\nA. Length of $AB$ to $AC$\nB. Length of $DE$ to $DF$\nC. $AB$ to $BC$\nD. $DE$ to $AB$"
},
{
"from": "gpt",
"value": "The ratio of the sides of similar triangles formed by $DE$ to $DF$ allows the calculation of $DF$. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/013336.png | 013336 |
038835 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the combined number of sophomores and seniors taking Chinese?\nChoices:\nA. 12\nB. 15\nC. 18\nD. 21"
},
{
"from": "gpt",
"value": "Add the number of sophomores taking Chinese to the number of seniors taking Chinese. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038835.png | 038835 |
071997 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Using the exterior angle theorem calculation, does $x$ result in being $127$ if we set the outer angle at $106$ degrees?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "According to the Exterior Angle Theorem, $106 = m \\angle BAC + m \\angle BCA$. By substituting $m \\angle BCA = 180 - x$ in the theorem, we get $106 = (180-x) + (180-x)$. Solving this gives $x = 127$. Therefore, using the theorem with given angle $106$, $x$ indeed results in $127$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/071997.png | 071997 |
020583 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the total number of exact rectangular faces on the geometric figure shown?\nChoices:\nA. 4\nB. 6\nC. 8\nD. Not enough information"
},
{
"from": "gpt",
"value": "The calculation and the formula used for finding the surface area of the geometric figure corresponds to a rectangular prism, which has exactly 6 rectangular faces. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/020583.png | 020583 |
015738 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the relationship between the length of arc BD and the radius of the circle?\nChoices:\nA. Arc is shorter than the radius\nB. Arc is longer than the radius\nC. Arc is equal to the radius\nD. There is no relationship"
},
{
"from": "gpt",
"value": "The specific magnitudes $6 \\pi \\sqrt{3}$ for the arc and $36 \\sqrt{3}$ for the radius demonstrate that the arc is shorter than the radius. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/015738.png | 015738 |
083372 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: We want to prove that the area of a quadrilateral is half the product of the diagonals times the sine of the angle between the diagonals.\n\nWrite an expression for R, where R is the area of \\triangle OAC."
},
{
"from": "gpt",
"value": "What is the formula for a triangle given two sides and an included angle? Use this formula to find an expression for the area of the given triangle.\n\nThe area of a triangle is \\frac{1}{2}xy\\sin \\alpha where \\alpha and x are two side lengths and \\alpha is their included angle. \\n \\frac{1}{2}ac\\sin \\theta So the answer is \\frac{1}{2}ac\\sin \\theta \nThe answer is \\frac{1}{2}ac\\sin \\theta "
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083372.png | 083372 |
083081 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Classify the number \\(\\sqrt{6}\\).\nChoices:\nA. $\\sqrt{6}$ is an irrational number.\nB. $\\sqrt{6}$ is a rational number.\nC. $\\sqrt{6}$ is an integer.\nD. $\\sqrt{6}$ is a whole number."
},
{
"from": "gpt",
"value": "Can $\\sqrt{6}$ be expressed as a fraction?\nIf so, it is rational. If not, it is rational. \n$\\sqrt{6}$ is an irrational number. So the answer is A\nAnswer: $\\sqrt{6}$ is an irrational number."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083081.png | 083081 |
076194 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Looking at the graph of $x = y^2$, does it satisfy the function definition for $y$ as a variable dependent on $x$?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The graph $x = y^2$ does not meet the vertical line test where each line x = a (a is a constant) should intersect the graph at no more than one point. For $x > 0$, the graph intersects vertical lines at two points, hence not defining $y$ as a function of $x$. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/076194.png | 076194 |
019289 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, does the object have any vertex points?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "A hemisphere does not contain any vertex points as it consists of a smooth curved surface transitioning into a flat base without any angular intersections. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/019289.png | 019289 |
015468 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, can the addition of the angles of triangles help to find the value of any unknown angles?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Yes, the sum of the angles within each triangle can be used to calculate any missing angles using the principle that the sum of the angles in any triangle is 180°. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/015468.png | 015468 |
055771 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what theorem justifies the equality of $\\angle 2$ and $\\angle 6$?"
},
{
"from": "gpt",
"value": "The Alternate Interior Angles Theorem justifies the equality of $\\angle 2$ and $\\angle 6$. Since lines $m$ and $n$ are parallel, alternate interior angles along these lines must be equal. So the answer is $\\angle 2 = \\angle 6$\nThe answer is $\\angle 2 = \\angle 6$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055771.png | 055771 |
051339 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is an expression for the area of the triangle involving the sine of an angle?"
},
{
"from": "gpt",
"value": "To find the area of the triangle using sine, the formula involves the product of two sides and the sine of the included angle. This information helps relate the side lengths and angle to the triangle's area. We can express any side as the base, and the height can be found using trigonometric relations involving the sine of the opposite angle. So the answer is Area = \frac{1}{2}ab\\sin C\nThe answer is Area = \frac{1}{2}ab\\sin C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/051339.png | 051339 |
028060 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the base length of the shape formed by the curve and the x-axis over the domain 0 to 4?\nChoices:\nA. 1\nB. 2\nC. 3\nD. 4"
},
{
"from": "gpt",
"value": "The x-axis section from x=0 to x=4 acts as the base of the triangular shape formed by the curve intersecting the x-axis. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028060.png | 028060 |
052895 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, does the expression in the analysis represent the area of a single rectangle or multiple rectangles?"
},
{
"from": "gpt",
"value": "The formula isn’t representing the area of a single rectangle. It’s representing the summation of two rectangular areas. So the answer is Multiple rectangles\nThe answer is Multiple rectangles"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052895.png | 052895 |
074912 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is the hourly cost of parking the same for 20 hours as it is for 1 hour?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Considering the observed data for 5 and 9 hours, and applying that the rate stays consistent, the hourly cost for 20 hours remains £2, same as for 1 hour. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074912.png | 074912 |
059789 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, describe the relationship of the shaded region to the x-axis."
},
{
"from": "gpt",
"value": "Given the inequality x < 1 is a vertical constraint, the shaded region lies to the left of the line x = 1, starting from the y-axis and extending left until x=1. So the answer is left of the line x=1\nThe answer is left of the line x=1"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059789.png | 059789 |
033383 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what type of integral is used to calculate the mass of the lamina?\nChoices:\nA. Single integral\nB. Double integral\nC. Triple integral\nD. Complex integral"
},
{
"from": "gpt",
"value": "The calculation of the mass of the lamina requires the use of a double integral, which is integral integration over the region $R$. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033383.png | 033383 |
073552 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is the width of rectangle B greater than its height?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Rectangle B has a width of 7 centimeters and a height of 4 centimeters, making the width greater than the height. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073552.png | 073552 |
001874 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many degrees is the angle opposite to the longest side of the triangle?\nChoices:\nA. 90 degrees\nB. 45 degrees\nC. 30 degrees"
},
{
"from": "gpt",
"value": "In a right triangle, the right-angle is opposite the hypotenuse, which is the longest side. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/001874.png | 001874 |
030273 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what constant multiplication outcome of x and y coordinates does the hyperbola exhibit?\nChoices:\nA. -6\nB. 0\nC. 6\nD. 7"
},
{
"from": "gpt",
"value": "Calculating the products of x and y coordinates for all visible points on the hyperbola in the image reveals a constant result of 6. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/030273.png | 030273 |
028619 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how has the period of the sine function been affected by the transformation to y=\\sin 2x?\nChoices:\nA. Halved\nB. Doubled\nC. Triple\nD. Quadruple"
},
{
"from": "gpt",
"value": "Upon observing the behavior of y=\\sin 2x, it is evident that the function completes its cycle in half the distance of y=\\sin x, indicating the period is halved. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028619.png | 028619 |
016360 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, is rectangle A equal in area to rectangle B?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The analysis mentions that both rectangles A and B are each 28 square centimeters in area. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016360.png | 016360 |
033779 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, identify the limit of the function f(x) as x approaches just left of -4?\nChoices:\nA. 0\nB. 1\nC. 2\nD. No limit"
},
{
"from": "gpt",
"value": "From the visual information seen in the graph, as x nears -4 from values smaller than -4, the limit of f(x) appears to be 2. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033779.png | 033779 |
074424 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Using the corresponding lengths, are the calculations correct to find y if one pair is 6 inches and 3 inches and the other is 8 inches and y?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The proportions are set correctly with the corresponding lengths: 6 inches to 3 inches and 8 inches to y. By using cross multiplication (6/3 = 8/y), we correctly solve y as 4, showing that the calculations are accurate. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074424.png | 074424 |
039299 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, which term best describes the mathematical relationship displayed?\nChoices:\nA. quadratic\nB. linear progression\nC. hyperbolic\nD. arithmetic sequence"
},
{
"from": "gpt",
"value": "The depiction of a curve that reaches a maximum and then declines as seen in the scatter plot fits the description of a quadratic relationship. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/039299.png | 039299 |
023651 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, does Frank move in different speeds at different time periods?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "We would analyze the distance travelled by Frank at different time points to infer about his varying or constant speed. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/023651.png | 023651 |
033835 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what value does the function approach as x approaches 0 from the right?\nChoices:\nA. 0\nB. -1\nC. 1\nD. 2"
},
{
"from": "gpt",
"value": "As x approaches 0 from the right, the function is approaching the value 0. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033835.png | 033835 |
055822 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, which segments serve as the radii of the circle?"
},
{
"from": "gpt",
"value": "Segments $OB$ and $OC$ are drawn from the center $O$ to the circle's perimeter, indicating that both line segments serve as radii of the circle. So the answer is $OB$ and $OC$\nThe answer is $OB$ and $OC$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055822.png | 055822 |
057026 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the perimeter of the square?"
},
{
"from": "gpt",
"value": "Calculate the perimeter by multiplying the side length by 4. Given the side measure as $10\\mathrm{~mm}$, $$\\text{perimeter} = 4 \\times 10 = 40\\mathrm{~mm}$$ So the answer is 40 mm\nThe answer is 40 mm"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057026.png | 057026 |
079845 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Find the length, in centimetres, of the shortest side of the parallelogram shown. Use s as the length of the side."
},
{
"from": "gpt",
"value": "The perimeter is equal to the sum of the 4 lengths of the parallelogram.\nWrite an equation that shows that\n\nPerimeter $=2 \\times$ side $_{1}+2 \\times$ side $_{2}$\n\n$66=2 \\times 19+2 \\times s$\n\nPerform the multiplication\n\n$66=38+2 s$\n\nWe want to isolate the $s$, what's the next thing we can do to achieve this?\n\nSubtract 38 from both sides of the equation.\n\n$28=2 s$\n\nWhat final step can we perform to isolate the $s$ ?\n\nDivide both sides of the equation by 2\n$14=s$ So the answer is $14=s$\nThe answer is $14=s$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079845.png | 079845 |
033400 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the significance of the exponential function in calculating the centroid?\nChoices:\nA. Defines the curve\nB. Determines the density\nC. Controls the volume\nD. Affects viscosity"
},
{
"from": "gpt",
"value": "The function y = e^x defines the curvilinear boundary of the region for which the centroid is being calculated, as noted in the image. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033400.png | 033400 |
026162 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the initial distance of Maci’s brother when the graph begins?\nChoices:\nA. Starts at 0 meters\nB. Starts at 2 meters\nC. Starts at 4 meters\nD. Starts at 6 meters"
},
{
"from": "gpt",
"value": "The initial horizontal point of the motion graph indicates where Maci's brother begins his ride on the carousel. Observing the function's start point provides this crucial distance information. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/026162.png | 026162 |
056686 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, which side is the shortest in triangle WXY?"
},
{
"from": "gpt",
"value": "The side lengths given are WY=36 millimeters, WX=35 millimeters, and XY=33 millimeters. The shortest side of the triangle is XY, which measures 33 millimeters. So the answer is XY\nThe answer is XY"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056686.png | 056686 |
080446 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the area of the triangle above?\nChoices:\nA. 20\nB. 24\nC. 30\nD. 54\nE. 64"
},
{
"from": "gpt",
"value": "Let $x$ be the unknown side of the triangle. Applying the Pythagorean Theorem yields\n$$\n\\begin{aligned}\n& 9^2+x^2=15^2 \\\\\n& 81+x^2=225 \\\\\n& x^2=144 \\\\\n& x= \\pm \\sqrt{144} \\\\\n& x=12\n\\end{aligned}\n$$\nby squaring the terms\nby subtracting 81 from both sides of the equation by taking the square root of both sides of the equation since we are looking for a length, we take the positive root\n\nIn a right triangle, the legs are the base and the height of the triangle. Hence, $A=\\frac{1}{2} b h=\\frac{1}{2} \\cdot 9 \\cdot 12=54$. The answer is 54. So the answer is D\nAnswer: 54"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080446.png | 080446 |
049451 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the most suitable description of water surface's function of change over time?\nChoices:\nA. constant\nB. linear\nC. exponential\nD. logarithmic"
},
{
"from": "gpt",
"value": "Since the radius increases at a constant rate, this indicates that the radius as a function of time changes linearly. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/049451.png | 049451 |
079675 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: What is the value of \\(\\frac{8.4}{\\sin 106^\\circ }\\)? Round your answer to four decimal places."
},
{
"from": "gpt",
"value": "Evaluate the expression using your calculator. Give your answer correct to four decimal places. \\n \\frac{8.4}{\\sin 106^\\circ } = 8.7385 So the answer is \\frac{8.4}{\\sin 106^\\circ } = 8.7385\nThe answer is \\frac{8.4}{\\sin 106^\\circ } = 8.7385"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079675.png | 079675 |
052479 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what property does the triangle have because all sides have the same markings?"
},
{
"from": "gpt",
"value": "All identical markings indicate that the triangle is equilateral. Properties of an equilateral triangle include equal sides and equal angles, which justify calculating values such as $x$. So the answer is equal sides\nThe answer is equal sides"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052479.png | 052479 |
080647 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: If the radius is 6 and the area of minor sector AOB is 15π, what is the value of x?\nChoices:\nA. 90\nB. 120\nC. 130\nD. 150"
},
{
"from": "gpt",
"value": "The proportion is $\\frac{15 \\pi}{\\Pi\\left(6^2\\right)}=\\frac{x^{\\circ}}{360^{\\circ}}$. To make the math easier, multiply both sides by 36 , so $15=\\frac{x}{10}$, and $x=150$. Choice (150) is correct. So the answer is D\nAnswer: 150"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080647.png | 080647 |
016013 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the total angle in radians around the center of the circle?\nChoices:\nA. \\(\\pi\\)\nB. \\(2\\pi\\)\nC. \\(\\pi/2\\)\nD. \\(\\pi/4\\)"
},
{
"from": "gpt",
"value": "The total angle around the center of a circle in radians is \\(2\\pi\\). So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016013.png | 016013 |
001987 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many acute angles are there in the triangle?\nChoices:\nA. One\nB. Two\nC. Three"
},
{
"from": "gpt",
"value": "An acute angle is less than 90°. The number of such angles in the triangle can be counted based on the angles displayed. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/001987.png | 001987 |
076510 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is it possible for a discontinuous graph that has vertical asymptotes to be a polynomial?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "No, polynomials do not have vertical asymptotes or breaks in the graph, distinguishing them from rational functions which might. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/076510.png | 076510 |
009624 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many degrees is the right angle in the triangle?\nChoices:\nA. 45 degrees\nB. 90 degrees\nC. 60 degrees\nD. 180 degrees"
},
{
"from": "gpt",
"value": "The triangle includes a square at one angle that signifies a right angle. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/009624.png | 009624 |
070244 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Which side is the hypotenuse in a triangle where all sides measure the same length?\nChoices:\nA. No hypotenuse\nB. Any side"
},
{
"from": "gpt",
"value": "In a triangle where all sides are of equal length, known as an equilateral triangle, there is no hypotenuse since each side has the same measurement and there's no right angle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/070244.png | 070244 |
012731 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the value of b for point B if point D is at (0,0)?\nChoices:\nA. 0\nB. 2\nC. 4\nD. 6\nE. 8"
},
{
"from": "gpt",
"value": "Given that points A and D have the same x-coordinate, they lie on a vertical line. Similarly, since the x-coordinates of points B and C are identical, they lie along another vertical line. Given the structure of a parallelogram where opposite sides are equal and A and D lie on one side, the distance from A to D is 2 units. Thus, the distance from B to C, which is also on a vertical line, must be 2 units as well. If D is situated at (0,0), and B has the same vertical distance from C as A has from D, it can be deduced that the y-coordinate b of B must be 4. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/012731.png | 012731 |
062924 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, identify if there's reflective symmetry and specify the axis?"
},
{
"from": "gpt",
"value": "The graph shows reflective symmetry about the x-axis as for every point (x,y) on the graph, there is a corresponding point (x,-y) also on the graph. So the answer is Reflective symmetry about the x-axis\nThe answer is Reflective symmetry about the x-axis"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062924.png | 062924 |
033378 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what kind of region does $R$ represent?\nChoices:\nA. A circle\nB. A square\nC. The region under a curve\nD. A triangle"
},
{
"from": "gpt",
"value": "The region $R$ is the area formed between the graph of $y=x^2$ and the vertical lines $x=0$ and $x=2$. Thus, it represents the region under a curve. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033378.png | 033378 |
058347 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, how would one compute the curved surface area of the cylinder using its dimensions?"
},
{
"from": "gpt",
"value": "Start by identifying the radius and height of the cylinder from the image. These dimensions are substituted into the curved surface area formula for cylinders, 2\\pi rh, to find the result in square units. So the answer is 2\\pi rh\nThe answer is 2\\pi rh"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/058347.png | 058347 |
065093 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what percentage of the total income does Division D's income represent during year X?"
},
{
"from": "gpt",
"value": "Division D's income is represented as 30% of the total figure shown, which is $1,560,000. To find out the income for Division D, calculate 30% of $1,560,000. So the answer is 30% of total income\nThe answer is 30% of total income"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065093.png | 065093 |
019220 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, when calculating $AD$ which equation is correct?\nChoices:\nA. $A D^{2}=(\\sqrt{433})^{2}+12^{2}$\nB. $A D^{2}=(\\sqrt{433})^{2}-12^{2}$\nC. $A D^{2}=(\\sqrt{433})$-12\nD. $A D^{2}=(\\sqrt{433})+12$"
},
{
"from": "gpt",
"value": "By substituting $c=A D$, side $a=\\sqrt{433}$ and $b=12$ into the equation, we get $A D^{2}=(\\sqrt{433})^{2}+12^{2}$ So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/019220.png | 019220 |
070589 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: If ∠ABC is x in a cyclic quadrilateral, should ∠BDA also be 180 - x?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since ∠ABC and ∠BDA are opposite angles in a cyclic quadrilateral, and opposite angles are supplementary, ∠BDA is correctly calculated as 180 - x. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/070589.png | 070589 |
047120 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the ratio of blue squares to total squares in the figure?\nChoices:\nA. 1:3\nB. 2:5\nC. 7:20\nD. 1:2\nE. 3:4"
},
{
"from": "gpt",
"value": "The ratio can be found by dividing the count of blue squares by the total number of squares. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/047120.png | 047120 |
017187 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what type of geometric figure does $G H I J$ represent?\nChoices:\nA. Kite\nB. Rectangle\nC. Triangle\nD. Square"
},
{
"from": "gpt",
"value": "The properties of the geometric figure can be discerned from the relations between the angles and sides shown in the image. Specifically, the relationships between the angles ($\\angle H$ equals $\\angle J$ and $\\angle G$ not equaling $\\angle I$) and the properties given help in identifying the figure as a kite. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017187.png | 017187 |
071198 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Given the sum of y, 113, and 149 degrees equals 360, is the calculated value of y less than 100?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Solving the equation y + 113 + 149 = 360 gives y = 98, which is less than 100. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/071198.png | 071198 |
021306 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the height of the taller prism?\nChoices:\nA. 7 units\nB. 8 units\nC. 16 units\nD. None of the above"
},
{
"from": "gpt",
"value": "Identify and specify the height of the taller of the two prisms based on the dimensions provided. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/021306.png | 021306 |
061177 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what can be inferred about the 'rise' between points $B$ and $C'?"
},
{
"from": "gpt",
"value": "Considering 'rise' represents vertical distance, observe the $y$-coordinates of points $B$ and $C$ in the image to determine the change or rise along the vertical line connecting them. So the answer is The difference in the $y$-coordinates of points B and C\nThe answer is The difference in the $y$-coordinates of points B and C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061177.png | 061177 |
051024 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the value of the angle opposite to the 110° angle in the cyclic quadrilateral?"
},
{
"from": "gpt",
"value": "The opposite angles in a cyclic quadrilateral are supplementary. Since one angle is 110°, the other must be 180° - 110° to satisfy this property. So the answer is 70°\nThe answer is 70°"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/051024.png | 051024 |
052851 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the length of the tent considering the door’s width and additional spaces?"
},
{
"from": "gpt",
"value": "The tent’s door width is marked as w, and there’s an additional 4 cm on either side of the door to the edges of the tent. Therefore, to calculate the total length of the tent, add the width of the door plus 8 cm (4 cm on each side). So the answer is w + 8 cm\nThe answer is w + 8 cm"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052851.png | 052851 |
014716 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the sum of the interior angles of the polygon shown?\nChoices:\nA. 180\nB. 360\nC. 540\nD. 720\nE. None of these"
},
{
"from": "gpt",
"value": "For a polygon with $n=4$ sides, the sum of the interior angles is $(n-2) \\times 180 = 2 \\times 180 = 360$ degrees. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/014716.png | 014716 |
025961 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how is the trigonometric function's graph oriented in relation to its standard position?\nChoices:\nA. Inverted\nB. Not inverted\nC. Shifted up\nD. Shifted down"
},
{
"from": "gpt",
"value": "Orientation might suggest a reflection across the x-axis or a vertical shift, influencing the direction (up or down) the wave moves first from zero. This is indicated by initial movement from the midline, either towards or away from the x-axis. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/025961.png | 025961 |
085079 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Calculate the length of wire Luke will need if he is making a frame in the shape of this triangularprism."
},
{
"from": "gpt",
"value": "Try to spot any sides that are the same length. Observe that two identical triangles are formed by the edges of length 10.81 . These triangles are connected by 3 wire-lengths of 58.09 units.\n\nSum twice the perimeter of an equilateral triangle of side length 10.81 and thrice the length of a connecting wire, i.e- 58.09 units.\n\n$=2 \\times 3 \\times 10.81+3 \\times 58.09 \\mathrm{~cm}$\n\nEvaluate each term.\n\n$=64.86+174.27 \\mathrm{~cm}$\n\nEvaluate.\n\n$=239.13 \\mathrm{~cm}$ So the answer is Perimeter $=239.13 \\mathrm{~cm}$\nThe answer is Perimeter $=239.13 \\mathrm{~cm}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085079.png | 085079 |
060709 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, at what time does the ball reach the ground?"
},
{
"from": "gpt",
"value": "The time the ball reaches the ground is shown by the second x-intercept of the function, where the graph crosses the x-axis again, marking the end of its trajectory. So the answer is The ball reaches the ground at about 3.5 seconds.\nThe answer is The ball reaches the ground at about 3.5 seconds."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060709.png | 060709 |
022881 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many times does the larger figure's corresponding length exceed the smaller figure's corresponding length?\nChoices:\nA. Twice\nB. Thrice\nC. Four times\nD. Five times"
},
{
"from": "gpt",
"value": "The image illustrates a pair of similar figures where one such pair includes lengths of 6 inches and 3 inches. This indicates that the larger figure's corresponding length is twice that of the smaller figure. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/022881.png | 022881 |
063331 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what are the coordinates of the point where the graph of $y = f(x)$ crosses the x-axis?"
},
{
"from": "gpt",
"value": "Observing the graph, the x-axis crossing is the point where $y=0$. To find this point, the equation of the graph can be used: setting $y$ to zero and solving $\\frac{3}{5}x + 3 = 0$ for x gives the x-coordinate of the x-axis crossing point. Simplifying the equation will lead to the desired x-coordinate. So the answer is $-5$\nThe answer is $-5$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063331.png | 063331 |
067100 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, calculate the value of the investment after 3 years."
},
{
"from": "gpt",
"value": "Using the formula $V_{n}=1000+200n$ from the explicit rule, substituting $n=3$ yields $V_3=1000+200(3)=1000+600=1600$. So the answer is $1600\nThe answer is $1600"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/067100.png | 067100 |
073001 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Would angle ADC be a right angle if arc ADC indicates a semicircle?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Angles that are inscribed in a semicircle are always right angles (90 degrees), thus making angle ADC a right angle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073001.png | 073001 |
017279 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the measure of the acute angle opposite the shorter leg?\nChoices:\nA. 30 degrees\nB. 45 degrees\nC. 60 degrees\nD. 90 degrees"
},
{
"from": "gpt",
"value": "In a right triangle with one angle measuring 90 degrees and the sides in the ratio of a Pythagorean triple, the other angles can be determined.\n$$\n\\begin{aligned}\n& \\text{Ratio of sides is } 1:\\sqrt{3}:2, \\\\\n& \\text{implying a } 30^\\circ-60^\\circ-90^\\circ \\text{ triangle}. \\\\\n& \\text{The angle opposite the shorter side is } 30^\\circ. \\\\\n\\end{aligned}\n$$ So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017279.png | 017279 |
022103 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, does the aquarium have a uniform cross-section across its height?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The depiction and measurements given in the image indicate that the aquarium maintains the same width and length from bottom to top, which means it has a uniform cross-section. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/022103.png | 022103 |
073344 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Do two pentagons with side ratios 70:30 have a perimeter ratio different from 7:3?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "70:30 simplifies exactly to 7:3, indicating no deviation in the perimeter ratio from 7:3. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073344.png | 073344 |
023852 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many objects have a circular shape?\nChoices:\nA. 0\nB. 1\nC. 2\nD. 3"
},
{
"from": "gpt",
"value": "Analysis involves counting the objects within the image that strictly have a round form. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/023852.png | 023852 |
086434 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: The figure above shows a normal distribution with mean $m$ and standard deviation $d$, including approximate percents of the distribution correspond ing to the six regions shown.\n\nThe mean value of 500 homes in a county is $\\$ 225,000$ and the standard deviation is $\\$ 25,000$.\n\nApproximately how many of the homes in the county are between $\\$ 175,000$ and $\\$ 225,000$ ?\nChoices:\nA. 310\nB. 340\nC. 380\nD. 410"
},
{
"from": "gpt",
"value": "The mean value of 500 homes in a county is $\\$ 225,000$ and the standard deviation is $\\$ 25,000$.\n\nSince $m=\\$ 225,000$ and $d=25,000$, $m-d=\\$ 225,000-\\$ 25,000=\\$ 200,000$, $m-2 d=\\$ 225,000-2 \\times \\$ 25,000=\\$ 175,000$, and $m+d=\\$ 225,000+\\$ 25,000=\\$ 250,000$.\n\nReading the graph, $14 \\%+34 \\%+34 \\%$, or $82 \\%$, of the 500 homes are priced between $\\$ 175,000(=m-2 d)$ and $\\$ 225,000(=m+d)$. Therefore, there are $0.82 \\times 500$, or 410 homes. So the answer is D\nAnswer: 410"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086434.png | 086434 |
076998 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the table of values, is the variable y proportional to x when y is always two times x?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Considering that y should be a constant multiple of x for it to be proportional, and given that y is always twice x in the table presented, the relationship holds true. Therefore, y is proportional to x. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/076998.png | 076998 |
085601 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: A polynomial p is graphed.\nWhat could be the equation of p?\nChoose 1 answer:\nChoices:\nA. p(x)=(x-1)(x-4)(2 x+3)^2\nB. p(x)=(x-1)^2(x-4)(2 x+3)\nC. p(x)=(x-1)^2(x-4)(2 x+3)^2\nD. p(x)=(x-1)(x-4)^2(2 x+3)"
},
{
"from": "gpt",
"value": "All the options have the same linear factors: $(x-1),(x-4)$, and $(2 x+3)$. This makes sense, as the graph has zeros at $x=1$,\n$$\nx=4 \\text {, and } x=-\\frac{3}{2} \\text {. }\n$$\n\nThe difference between the options is in the multiplicity of the zeros. To determine which option is correct, we need to think about multiplicity:\n- If the multiplicity of a zero is an odd number, the graph will cross the $x$-axis at that zero.\n- If the multiplicity of a zero is an even number, the graph will only touch the $x$-axis at that zero.\n\nWe see that the graph crosses the $x$-axis at $x=1$ and $x=4$. So their multiplicities must be odd numbers.\n\nWe see that the graph touches the $x$-axis at $x=-\\frac{3}{2}$. So its multiplicity must be an even number.\n\nIn conclusion, this is the correct answer:\n$$\np(x)=(x-1)(x-4)(2 x+3)^2\n$$ \\n p(x)=(x-1)(x-4)(2 x+3)^2 So the answer is A\nAnswer: p(x)=(x-1)(x-4)(2 x+3)^2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085601.png | 085601 |
047352 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what would be the fractional simplification of the grazing area angle to a full circle?\nChoices:\nA. 1/2\nB. 2/3\nC. 3/4\nD. 3/8"
},
{
"from": "gpt",
"value": "The angle for the donkey's grazing area is 270 degrees, which simplifies to 3/4 when compared to a full 360-degree circle. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/047352.png | 047352 |
075329 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Does a vertical line have a slope of zero?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The analysis specifies that vertical lines have an undefined slope, not zero. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075329.png | 075329 |
048076 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how far is it from Lexington to Sparrowtown?\nChoices:\nA. 10.6 km\nB. 13.1 km\nC. 9.8 km\nD. 12.5 km"
},
{
"from": "gpt",
"value": "The path from Lexington to Sparrowtown is one segment shown on the image. The distance can be calculated or read directly depending on the display. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/048076.png | 048076 |
064290 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what was the total cat population in all listed countries in 1970?"
},
{
"from": "gpt",
"value": "Refer to the image's table and sum up the cat populations of all listed countries for the year 1970 to find the total. So the answer is To find the answer, look at the table in the image.\nThe answer is To find the answer, look at the table in the image."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/064290.png | 064290 |
080555 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: In the triangle above, $x=$\nChoices:\nA. $4 \\sqrt{2}$\nB. 8\nC. 4\nD. a number between 1 and 4\nE. None of these."
},
{
"from": "gpt",
"value": "First calculate $\\nless \\mathrm{C}$. Call it $y$.\n$$\n\\begin{aligned}\n& 80+50+y=180\\left(\\text { Sum of } \\Varangle ’ s=180^{\\circ}\\right) \\\\\n& y=50\n\\end{aligned}\n$$\n\nSince $\\Varangle C=y=50$ and $\\Varangle B=50$, side\n$$\n\\begin{aligned}\n& A B=\\text { side } A C \\\\\n& A B=x=4\n\\end{aligned}\n$$ So the answer is C\nAnswer: 4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080555.png | 080555 |
074676 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is the distance between their worksites less than 150 kilometres?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Given that the distance is calculated as 300 km minus 100 km, which equals 200 kilometres, it is not less than 150 kilometres. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074676.png | 074676 |
060323 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what does the intersection point of the graphs indicate about the medications?"
},
{
"from": "gpt",
"value": "The intersection point of the graphs in the image indicates a specific initial amount and time where both medications have the same duration of effectiveness in the bloodstream. So the answer is same duration at a specific initial amount and time\nThe answer is same duration at a specific initial amount and time"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060323.png | 060323 |
036137 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many schools are being built each month?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 6"
},
{
"from": "gpt",
"value": "The table in the image shows an increase in the number of schools built each month, which can be calculated by the difference between consecutive entries. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/036137.png | 036137 |
033025 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, identify an inequality expression for regions above the line.\nChoices:\nA. $y > -\\frac{1}{2} x + 1$\nB. $y < -\\frac{1}{2} x + 1$\nC. $y > \\frac{1}{2} x - 1$\nD. $y < \\frac{1}{2} x - 1$"
},
{
"from": "gpt",
"value": "Points lying above the line $y=-\\frac{1}{2}x+1$, as displayed, satisfy $y > -\\frac{1}{2} x + 1$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033025.png | 033025 |
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