id
stringlengths 6
6
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stringlengths 50
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008662 | [
{
"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, determine the number of acute angles in the figure.\nChoices:\nA. 0\nB. 1\nC. 2\nD. 3"
},
{
"from": "gpt",
"value": "Identify and count the angles less than 90 degrees within the geometry shown in the image. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/008662.png | 008662 |
030958 | [
{
"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, estimate the y-value when x=1 for the function $y=\\log_2 x + 5$.\nChoices:\nA. 5\nB. 6\nC. 7\nD. 8"
},
{
"from": "gpt",
"value": "By inserting x=1 into the function $y=\\log_2 x + 5$, since the logarithm of 1 is 0, y results in 5. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/030958.png | 030958 |
037080 | [
{
"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 airport had the smallest number of passengers in 2012?\nChoices:\nA. Sydney\nB. Melbourne\nC. Los Angeles\nD. London\nE. New York"
},
{
"from": "gpt",
"value": "We can find the smallest number of passengers in 2012 by examining the numbers in that column for all the airports. So the answer is E\nAnswer: E"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/037080.png | 037080 |
069490 | [
{
"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 many small squares are shaded to represent the multiplication of two decimals?"
},
{
"from": "gpt",
"value": "The grid in the image is used to illustrate the product of 0.3 and 0.9 by shading the appropriate area. Each small square represents a hundredth, effectively visualizing the multiplication via the area covered. The product results from the number of shaded small squares. So the answer is 27 small squares are shaded.\nThe answer is 27 small squares are shaded."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/069490.png | 069490 |
077439 | [
{
"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: Was the number of security holes fixed in 2003 less than 5000?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "From the analysis, the number of security holes fixed in 2003 is 4500, which is less than 5000. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/077439.png | 077439 |
075092 | [
{
"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: From the graph in Figure 4, is the computed value of f(2) greater than 1?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The correct evaluation on the graph for x=2 shows a y-value of 1. Hence, the value of f(2) is not greater than 1. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075092.png | 075092 |
020687 | [
{
"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, determine if the shown figure has any parallel sides.\nChoices:\nA. Yes\nB. No\nC. All sides are parallel\nD. Impossible to determine"
},
{
"from": "gpt",
"value": "Examine the orientations of the sides of the figure depicted in the image. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/020687.png | 020687 |
049085 | [
{
"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 number has the fewest occurrences?\nChoices:\nA. 14\nB. 16\nC. 18\nD. 19"
},
{
"from": "gpt",
"value": "Analyze the tally of each number in the image and identify the number with the least occurrences. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/049085.png | 049085 |
056072 | [
{
"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 radius of the base of the cylinder in feet?"
},
{
"from": "gpt",
"value": "Looking at the cylinder in the image, the marked radius of the base is 7.5 yards, which when converted to feet (1 yard = 3 feet) results in 22.5 feet. So the answer is 22.5 feet\nThe answer is 22.5 feet"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056072.png | 056072 |
012024 | [
{
"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 sides does the polygon have?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 6"
},
{
"from": "gpt",
"value": "The image depicts a clear polygon, and by counting the sides directly from the image we find the number of sides it has. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/012024.png | 012024 |
057568 | [
{
"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, is the bounded region in front of or behind the region in the $y z$ plane bounded by $z=2 y^2$ and $z=\\sqrt{4 y}$?"
},
{
"from": "gpt",
"value": "The bounded region mentioned in the problem statement is in front of the region in the $y z$-plane bounded by $z=2 y^2$ and $z=\\sqrt{4 y}$. This is evident from the image and the equations given. So the answer is In front\nThe answer is In front"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057568.png | 057568 |
013812 | [
{
"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 said about the smallest angle in the triangle?\nChoices:\nA. It is $a$\nB. It is $3a$\nC. It is $5a$"
},
{
"from": "gpt",
"value": "From the equation $a+3a+5a=180$, it can be seen that the smallest angle is $a$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/013812.png | 013812 |
060529 | [
{
"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 the time period of the sinusoidal function be relevant to the movement of the carousel?"
},
{
"from": "gpt",
"value": "The period of the sinusoidal function depicted in the graph shows the time it takes for the carousel to complete one full rotation. So the answer is time for one full carousel rotation\nThe answer is time for one full carousel rotation"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060529.png | 060529 |
050953 | [
{
"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 of the triangle serves as the height when calculating the area?"
},
{
"from": "gpt",
"value": "The height of a triangle when calculating the area, especially if it is a right triangle, is one of the legs that is perpendicular to the base. The side used as the height is perpendicular to the chosen base. So the answer is a leg perpendicular to the base\nThe answer is a leg perpendicular to the base"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/050953.png | 050953 |
064506 | [
{
"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 if the pricing strategy encourages group admissions, such as families or couples, over single admissions?"
},
{
"from": "gpt",
"value": "Analyzing the price differentials between group tickets (like those for families or couples) and single tickets as provided in the visual table will clarify if there is an economic incentive to purchase group tickets over individual ones. So the answer is encouraged or not encouraged\nThe answer is encouraged or not encouraged"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/064506.png | 064506 |
065126 | [
{
"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 quadrant does the line of best fit pass through besides the first quadrant?"
},
{
"from": "gpt",
"value": "Given that the line has a positive slope and intersects the y-axis at a positive point, it primarily lies in the first quadrant. However, depending on the extent of x and y-values, it could extend into other quadrants. So the answer is Possibly all quadrants depending on range of x and y\nThe answer is Possibly all quadrants depending on range of x and y"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065126.png | 065126 |
069766 | [
{
"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 the term $6x$ have a corresponding like term in the expression for the perimeter of the square?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "In the polynomial expression for the perimeter of a square, $6x$ appears four times. Since they have the same variable and exponent, they are like terms and can be combined, resulting in $24x$ as part of the final perimeter expression. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/069766.png | 069766 |
079444 | [
{
"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: Prove AB = DE."
},
{
"from": "gpt",
"value": "What do we know about the perpendicular from the centre of a circle to a chord?\n\nApply this theorem to the smaller circle.\n\nState your reason:\nBC=CD\n(The perpendicular from a centre of a circle to a chord bisects its chord)\nHow can we relate AC and CE using chord properties of circles?\n\nUse the fact that the perpendicular from the centre of a circle bisects the chord.\n\nState your reason:\n$$AC=CE(The perpendicular from a centre of a circle to a chord bisects its chord)\nDeduce the relationship between the intervals AB and DE. \\n AB = DE So the answer is AB = DE\nThe answer is AB = DE"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079444.png | 079444 |
083943 | [
{
"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 value of $x$. Give a reason."
},
{
"from": "gpt",
"value": "The triangle is equilateral.\n\nState your reason:\n\n$x=60$\n\n(All angles in an equilateral triangle are equal to 60) So the answer is $x=60$\n (All angles in an equilateral triangle are equal to 60)\nThe answer is $x=60$\n (All angles in an equilateral triangle are equal to 60)"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083943.png | 083943 |
086691 | [
{
"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: The plotted points represent terms in a geometric sequence.\n\nIdentify $r$, the common ratio between consecutive terms."
},
{
"from": "gpt",
"value": "The common ratio can be found by dividing any term by the term immediately before it.\n\n$r=\\frac{-12}{-4}$\n\nEvaluate.\n\n$r=3$ So the answer is $r=3$\nThe answer is $r=3$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086691.png | 086691 |
000411 | [
{
"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 sides does the polygon have?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 6"
},
{
"from": "gpt",
"value": "The polygon depicted in the image has 5 sides, categorizing it as a pentagon. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/000411.png | 000411 |
031166 | [
{
"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 circle does point $P$ lie on after the rotation?\nChoices:\nA. Unit circle\nB. Circle with radius 2\nC. Circle with radius 5\nD. Ellipse"
},
{
"from": "gpt",
"value": "The rotation about the origin while maintaining the same distance from it implies that $P$ stays on a unit circle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/031166.png | 031166 |
059041 | [
{
"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 many faces does the solid have?"
},
{
"from": "gpt",
"value": "By examining the solid in the image, the total number of faces can be counted and verified. So the answer is 6 faces\nThe answer is 6 faces"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059041.png | 059041 |
033029 | [
{
"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 domain of the function represented?\nChoices:\nA. [2,7]\nB. (-inf, 7]\nC. (2,7]\nD. R"
},
{
"from": "gpt",
"value": "To find the domain, observe the section of the x-axis over which the function has points plotted. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033029.png | 033029 |
065714 | [
{
"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 type of mathematical model would best fit the data shown on the scatter plot?"
},
{
"from": "gpt",
"value": "The scatter plot suggests a parabolic curve, where a quadratic model would best describe the relationship with a visible peak that likely represents optimal gas mileage at a specific speed. So the answer is quadratic model\nThe answer is quadratic model"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065714.png | 065714 |
054916 | [
{
"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 angle measures of triangle ABC?"
},
{
"from": "gpt",
"value": "Since the sum of the angles in any triangle equals 180 degrees, and angles A and C are represented as 2z and z respectively, setting up the equation 2z + y + z = 180 degrees simplifies to 4z = 180 degrees. Solving for z gives z = 45 degrees. With z known, angle A becomes 90 degrees, and angles B and C are 45 degrees each, indicating triangle ABC is a right isosceles triangle. So the answer is Angle A = 90 degrees, Angle B = 45 degrees, Angle C = 45 degrees\nThe answer is Angle A = 90 degrees, Angle B = 45 degrees, Angle C = 45 degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/054916.png | 054916 |
019577 | [
{
"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, if angle ABC is the right angle, which segment represents the hypotenuse?\nChoices:\nA. Segment AB\nB. Segment BC\nC. Segment AC\nD. Segment is not in the options"
},
{
"from": "gpt",
"value": "The hypotenuse is the side opposite to the right angle and is the longest side of a right triangle. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/019577.png | 019577 |
083952 | [
{
"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 $x$ and give reasons for your answer."
},
{
"from": "gpt",
"value": "Use the relation between angles at the centre of a circle and angles on the circumference.\n\nState your reason:\n\n$x=2 \\times 50$\n\n(Angle at the centre of a circle is twice the angle at its circumference)\n\nEvaluate $x$.\n\nState your reason:\n\n$x=100$\n\n(Angle at the centre of a circle is twice the angle at its circumference) So the answer is $x=100$\n (Angle at the centre of a circle is twice the angle at its circumference)\nThe answer is $x=100$\n (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/083952.png | 083952 |
039196 | [
{
"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 much more does a worker earn per week in Oregon compared to Idaho when working full-time?\nChoices:\nA. $64.75\nB. $74\nC. $65\nD. $75"
},
{
"from": "gpt",
"value": "Using the information on hourly wage differences and multiplying by the maximum hours of a full-time job (40 hours), the additional earning in Oregon can be computed. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/039196.png | 039196 |
065806 | [
{
"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 starting number of games won by the Greenville team in the year 2010?"
},
{
"from": "gpt",
"value": "Referencing the image for the given data in the year 2010, the starting number was:\n$$\n\\begin{aligned}\n18 \\text{ games}\n\\end{aligned}\n$$ So the answer is 18 games\nThe answer is 18 games"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065806.png | 065806 |
053068 | [
{
"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 radius of the sector?"
},
{
"from": "gpt",
"value": "The radius is directly given on the sector in the image as 23.5 units. So the answer is 23.5 units\nThe answer is 23.5 units"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053068.png | 053068 |
081193 | [
{
"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 its surface area."
},
{
"from": "gpt",
"value": "Sum the area of the 6 faces, where the area of each face is equal to length $\\times$ width.\n Surface area $=$\n $22 \\times 24+22 \\times 24+22 \\times 22+22 \\times 22+24 \\times 22+24 \\times 22 \\mathrm{~cm}^{2}$\n Use your calculator to evaluate.\n Surface area $=3080 \\mathrm{~cm}^{2}$ So the answer is Surface area $=3080 \\mathrm{~cm}^{2}$\nThe answer is Surface area $=3080 \\mathrm{~cm}^{2}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081193.png | 081193 |
052815 | [
{
"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, express the total area of the figure without including rectangle A's area."
},
{
"from": "gpt",
"value": "If the image provides the area of rectangle A, it can be omitted from the total calculation. Assuming A's area is 'y^2', subtract this from the total area calculated from all rectangles. Sum the areas of just B, C, and D. So the answer is 10y+21\nThe answer is 10y+21"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052815.png | 052815 |
016550 | [
{
"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, if a circle is inscribed inside the triangle, what is the radius of the circle?\nChoices:\nA. 2.4\nB. 2.8\nC. 3.2\nD. 3.6"
},
{
"from": "gpt",
"value": "The radius can be found using the area $A$ of the triangle, and its semiperimeter $s$, with the formula $A=rs$, using $A=54$ and $s=\\frac{12+9+15}{2}$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016550.png | 016550 |
073453 | [
{
"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: Will increasing the diagonals of a rhombus from 6 feet and 10 feet to 9 feet and 15 feet triple the original area?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Increasing the diagonals to 9 feet and 15 feet, and applying the formula A = 1/2 * 9 * 15, results in an area of 67.5 square feet, which is exactly three times the original area of 30 square feet. Therefore, it's correct. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073453.png | 073453 |
080946 | [
{
"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: Use a double integral to determine the volume of the solid that is inside the cylinder below $z=2 x^2+2 y^2$ and above the $x y$-plane."
},
{
"from": "gpt",
"value": "The top of the solid is the paraboloid (the gold colored surface in the sketches). The walls of the solid are the cylinder $x^2+y^2=16$ and is shown with the semi translucent surface in the sketch. The bottom of the solid is the $x y$-plane.\n\nSo, the volume of the solid that is under the paraboloid and above the region $D$ in the $x y$-plane is given by,\n$$\nV=\\iint_D 2 x^2+2 y^2 d A\n$$\n\nThe region $D$ is the region from the $x y$-plane that we use to sketch the surface we are finding the volume under (i.e. the paraboloid).\nDetermining $D$ in this case is pretty simple if you think about it. The solid is defined by the portion of the paraboloid that is inside the cylinder $x^2+y^2=16$. But this is exactly what defines the portion of the $x y$-plane that we use to graph the surface. We only use the points from the $x y$-plane that are inside the cylinder and so the region $D$ is then just the disk defined by $x^2+y^2 \\leq 16$.\n\nAnother way to think of determining $D$ for this case is to look at the solid from directly above it. The $2 \\mathrm{D}$ region that you see will be the region $D$. In this case the region we see is the inside of the cylinder or the disk $x^2+y^2 \\leq 16$.\n\nNow, the region $D$ is a disk and so this strongly suggests that we use polar coordinates for this problem. The polar limits for this region $D$ is,\n$$\n\\begin{gathered}\n0 \\leq \\theta \\leq 2 \\pi \\\\\n0 \\leq r \\leq 4\n\\end{gathered}\n$$\n\nOkay, let's step up the integral in terms of polar coordinates.\n$$\nV=\\iint_D 2 x^2+2 y^2 d A=\\int_0^{2 \\pi} \\int_0^4\\left(2 r^2\\right)(r) d r d \\theta=\\int_0^{2 \\pi} \\int_0^4 2 r^3 d r d \\theta\n$$\n\nHere is the simple $r$ integration.\n$$\n\\begin{aligned}\nV & =\\int_0^{2 \\pi} \\int_0^4 2 r^3 d r d \\theta \\\\\n& =\\left.\\int_0^{2 \\pi} \\frac{1}{2} r^4\\right|_0 ^4 d \\theta=\\int_0^{2 \\pi} 128 d \\theta\n\\end{aligned}\n$$\n\nFinally, here is the really simple $\\theta$ integration.\n$$\nV=\\int_0^{2 \\pi} 128 d \\theta=256 \\pi\n$$ So the answer is $256 \\pi$\nThe answer is $256 \\pi$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080946.png | 080946 |
061206 | [
{
"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, using the points provided in the graph, calculate the change in y-coordinates."
},
{
"from": "gpt",
"value": "To find the change in y-coordinates (rise), you can subtract the y-value of the lower point from the y-value of the higher point, using two specific points given on the graph. So the answer is Change in y-coordinates $= y_2 - y_1$\nThe answer is Change in y-coordinates $= y_2 - y_1$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061206.png | 061206 |
069952 | [
{
"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 using sine properties related to angle SBN conclude that the distance B to S after walking on a bearing of 145° extends over 760 meters?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The calculation of sin(55°) multiplied by 916 results in approximately 750.3 meters, which does not extend over 760 meters. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/069952.png | 069952 |
027417 | [
{
"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 conic section does the nebula's cross-section resemble?\nChoices:\nA. Circle\nB. Ellipse\nC. Hyperbola\nD. Parabola"
},
{
"from": "gpt",
"value": "The image depicts a shape with two open ends extending in opposite directions, typical of a hyperbola, which is defined as a set of points at which distances from two fixed points (foci) have a constant difference. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/027417.png | 027417 |
081882 | [
{
"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 $y$-intercept of this graph?"
},
{
"from": "gpt",
"value": "Where does the graph cut the $y$-axis?\n\n$y=1$ So the answer is $y=1$\nThe answer is $y=1$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081882.png | 081882 |
001560 | [
{
"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, determine the complement of angle á if angle á + 56° = 90°.\nChoices:\nA. 34°\nB. 56°\nC. 90°\nD. 144°"
},
{
"from": "gpt",
"value": "If angle a forms a supplementary relationship such that a + 56° = 90°, then the complement of angle a (which adds to 90°) is simply calculated by subtracting the given angle from 90, resulting in a = 34°. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/001560.png | 001560 |
018737 | [
{
"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 angle in radians between the z-axis and the boundary of the cone.\nChoices:\nA. $\\pi/6$\nB. $\\pi/4$\nC. $\\pi/3$\nD. $\\pi/2$"
},
{
"from": "gpt",
"value": "There is a cone in the image, and its boundary with the z-axis is determined by the angle $\\varphi$, which can be found by setting the cone's equation $\\rho \\cos \\varphi = \\rho \\sin \\varphi$ leading to $\\varphi = \\pi / 4$. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/018737.png | 018737 |
079661 | [
{
"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: Prove that \\triangle AOB and \\triangle DOC are congruent."
},
{
"from": "gpt",
"value": "What can we say about the two angles \\angle AOB and \\angle COD ?Use the given in the question.State your reason:\\angle AOB=\\angle COD(Given).What can we say about AO and DO ?They are radii of the same circle.State your reason:AO=DO(Radii of a circle are equal).What about BO and CO ?They are radii of the same circle.State your reason:BO=CO(Radii of a circle are equal)We have enough information to deduce congruence.Recall that there are 4 cases for proving congruence; SSS, SAS, AAS and RHS.\\n \\triangle AOB\\equiv \\triangle COD So the answer is \\triangle AOB\\equiv \\triangle COD\nThe answer is \\triangle AOB\\equiv \\triangle COD"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079661.png | 079661 |
080716 | [
{
"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: Which angle is complementary to $\\angle 1$?"
},
{
"from": "gpt",
"value": "Look at $\\angle 1$ and $\\angle 3$ :\n$\\angle 3$ is complementary to $\\angle 1$. First, notice that $\\angle 1$ and $\\angle 6$ are complementary. Along with the right angle, they form a straight line. The straight line measures $180^{\\circ}$ and the right angle measures $90^{\\circ}$. That leaves another $90^{\\circ}$, so $\\angle 1$ and $\\angle 6$ have measures that add up to $90^{\\circ}$. Next, notice that $\\angle 6$ and $\\angle 3$ are vertical angles. That means they have the same measure. Since $\\angle 1$ and $\\angle 6$ are complementary, $\\angle 1$ and $\\angle 3$ are also complementary. Their angles add up to $90^{\\circ}$. So the answer is $\\angle 3$\nThe answer is $\\angle 3$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080716.png | 080716 |
006939 | [
{
"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 measure of $x$ assuming all arcs are the same length.\nChoices:\nA. 47 degrees\nB. 90 degrees\nC. 180 degrees\nD. 360 degrees"
},
{
"from": "gpt",
"value": "Notice that the two angles are standing on the same arc, and if the arcs are all of equal length then $x$ will be equal to the given angle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/006939.png | 006939 |
031792 | [
{
"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 least amount of yogurt Zhao Xue must buy to not exceed her budget if she buys 5 gallons of milk?\nChoices:\nA. 1 gallon\nB. 2 gallons\nC. 1.5 gallons\nD. 3 gallons"
},
{
"from": "gpt",
"value": "For Zhao Xue buying 5 gallons of milk, the feasible region on the graph representing the combination of purchases under $20 budget indicates the minimal amount of yogurt could be closer to 1.5 gallons to stay within budget and meet the total dairy minimum. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/031792.png | 031792 |
062419 | [
{
"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 which x-values does the function $y=\\log_2x-2$ result in negative y-values?"
},
{
"from": "gpt",
"value": "Given the graph translation and the nature of the log function, it's evident that for $x$ values between 1 (exclusive) and 4 (inclusive), $y=\\log_2x-2$ will yield negative results until $x=4$, where $y$ finally hits zero. So the answer is $1 < x \\leq 4$ where $y$ is negative\nThe answer is $1 < x \\leq 4$ where $y$ is negative"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062419.png | 062419 |
013999 | [
{
"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 angle ABC?\nChoices:\nA. 90 degrees\nB. 45 degrees\nC. 60 degrees\nD. 30 degrees"
},
{
"from": "gpt",
"value": "The image displays a right-angled triangle at B. Given that AB and BC are of equal length, the triangle is isosceles, and thus the angles at A and C are equal. Since the sum of angles in a triangle is 180 degrees, and one angle is 90 degrees, the remaining two angles must each be 45 degrees. Hence, angle ABC = 45 degrees. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/013999.png | 013999 |
057310 | [
{
"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 width of the rectangle in terms of unit squares?"
},
{
"from": "gpt",
"value": "From the visual presentation, the width of the rectangle can be assessed as it is filled with unit squares. By measuring the extent of one side visually filled with these squares, the width can be calculated based on the known size of each one. So the answer is 3 \\frac{1}{3}\nThe answer is 3 \\frac{1}{3}"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057310.png | 057310 |
055257 | [
{
"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 area of triangle Q?"
},
{
"from": "gpt",
"value": "Triangle Q has both base and height measuring 10 units. The area calculation is straightforward, using Area = 1/2 * base * height. So the answer is 50 square units\nThe answer is 50 square units"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055257.png | 055257 |
041859 | [
{
"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 proportion of mathematics majors originally favored mathematics in high school?\nChoices:\nA. 1/4\nB. 1/3\nC. 1/2\nD. 2/3\nE. 3/4"
},
{
"from": "gpt",
"value": "Analyze the subset of students majoring in mathematics to find the fraction that also favored mathematics in high school. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/041859.png | 041859 |
028087 | [
{
"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, if the triangle under the curve was to be filled, how many unit squares would fit?\nChoices:\nA. 18\nB. 20\nC. 21\nD. 22"
},
{
"from": "gpt",
"value": "Each unit square has an area of 1 unit^2. To fill the triangle, matching its area, we would need as many squares as the area calculation previously done: 21. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028087.png | 028087 |
023126 | [
{
"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, if one cube is hidden from view, how many cubes remain visible?\nChoices:\nA. 2\nB. 4\nC. 6\nD. 7"
},
{
"from": "gpt",
"value": "If the hypothesis is that one cube is not visible, one can count the visible cubes remaining that are explicitly shown in the image structure. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/023126.png | 023126 |
071143 | [
{
"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 angle RTU calculated as the sum of 49 degrees and 26 degrees?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The angle RTU is directly calculated by subtracting 26 degrees from 49 degrees, thus it is not a sum but a difference. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/071143.png | 071143 |
060434 | [
{
"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 formula would you use to find the amplitude given the minimum point and midline intersection of the trigonometric function?"
},
{
"from": "gpt",
"value": "To calculate the amplitude of the function, the difference between the midline and its nearest extremum point is used. Use the formula:\nAmplitude = midline value - minimum value\n= 1.2 - (-3.4)\n= 4.6 So the answer is 4.6\nThe answer is 4.6"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060434.png | 060434 |
083174 | [
{
"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 volume of the Great Pyramid. Write your answer correct to the nearest tenth."
},
{
"from": "gpt",
"value": "The Great Pyramid can be modelled as a right square pyramid. Recall that for pyramids and cones:Volume = \\frac{1}{3} × base area × perpendicular height.The base of a right square pyramid as we have here is a square, so that the volume of such a pyramid of base b and perpendicular height h is \\frac{1}{3}b^2h.= \\frac{1}{3}\\times 230^2\\times 146 cubic metres.Evaluate, rounding correct to 1 decimal place.\\n 2574466.7 cubic metres So the answer is 2574466.7 cubic metres\nThe answer is 2574466.7 cubic metres"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083174.png | 083174 |
059076 | [
{
"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 do the dimensions of the rectangle and triangle contribute to the total area?"
},
{
"from": "gpt",
"value": "The front face visible in the image has a rectangle with dimensions 8m (length) and 7m (width), and a triangle sitting on top of the rectangle with an 8m base and 3m height. The total area of the front face is found by summing the area of the rectangle and the area of the triangle, calculated using standard area formulas. So the answer is Total area = (Rectangle area) + (Triangle area) = (8 × 7) + (0.5 × 8 × 3) square meters = 56 + 12 square meters = 68 square meters\nThe answer is Total area = (Rectangle area) + (Triangle area) = (8 × 7) + (0.5 × 8 × 3) square meters = 56 + 12 square meters = 68 square meters"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059076.png | 059076 |
021300 | [
{
"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 faces of the solid are squares?\nChoices:\nA. None\nB. One\nC. Two\nD. Four"
},
{
"from": "gpt",
"value": "Review the dimensions provided for each face and identify which, if any, faces are squares by checking for equal length and width. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/021300.png | 021300 |
085544 | [
{
"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: Claire is swinging from the tip of a branch of a big tree. The horizontal distance between Claire and the trunk of the tree, in meters, is modeled by $D(t)$ where $t$ is the time in seconds. The function is graphed below, along with one segment highlighted.\n\nWhich feature of the graph corresponds to the highlighted segment?\n\nChoose 1 answer:\nChoices:\nA. Midline\nB. Amplitude\nC. Period"
},
{
"from": "gpt",
"value": "Midline is the horizontal line that passes exactly between the minimum value and the maximum value of a sinusoidal graph.\n\nAmplitude is the vertical distance between the midline and any of the extremum values.\n\nPeriod is the horizontal length of an entire cycle. A cycle of a sinusoidal graph can begin at any point, but common points to measure the cycle are between consecutive maximum points or between consecutive minimum points. \\n Midline So the answer is A\nAnswer: Midline"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085544.png | 085544 |
015700 | [
{
"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 angle ACB?\nChoices:\nA. 30 degrees\nB. 45 degrees\nC. 60 degrees\nD. 90 degrees"
},
{
"from": "gpt",
"value": "The triangle ABC is a right triangle with angle B as 90 degrees. If angle BAC is 30 degrees, then angle ACB, by the property of triangle angle sum, must be 60 degrees. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/015700.png | 015700 |
003835 | [
{
"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 does the triangle's perimeter compare to another given shape?\nChoices:\nA. Longer\nB. Shorter\nC. Same length\nD. Cannot be determined"
},
{
"from": "gpt",
"value": "Measurement of all sides summing them up could be compared to another shape's perimeter provided elsewhere. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/003835.png | 003835 |
001134 | [
{
"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 other geometric property can be determined if angle x is given as 47 degrees?\nChoices:\nA. Length of the arc\nB. Area of the circle\nC. Circumference of the circle\nD. Length of the tangent"
},
{
"from": "gpt",
"value": "With the angle x given and potentially additional data from the image, relationships involving circle formulas might be applicable, helping in calculating related properties. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/001134.png | 001134 |
074989 | [
{
"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 the increase in y equal 100 when x increases from 2 to 3?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "From x=2 (y=25) to x=3 (y=50), the increase in y is 25, not 100. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074989.png | 074989 |
044636 | [
{
"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 car had the lowest actual gas mileage compared to its predicted value from the line of best fit?\nChoices:\nA. Car E\nB. Car F\nC. Car G\nD. Car H"
},
{
"from": "gpt",
"value": "The car with the lowest actual mileage relative to its predicted value is represented by the point that is farthest below the line of best fit. Measure the vertical distance to find which car underperformed the most according to the model. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/044636.png | 044636 |
044833 | [
{
"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 cylinder have a base?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The analysis clearly states that this cylinder does not have a base. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/044833.png | 044833 |
081602 | [
{
"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 equation of g in terms of f? Choose 1 answer:\nChoices:\nA. g(x)=f(x)\nB. g(x)=-f(x)\nC. g(x)=f(-x)\nD. g(x)=-f(-x)"
},
{
"from": "gpt",
"value": "Function $g$ is a reflection of function $f$. There are different kinds of function reflections:\n\\begin{tabular}{|c|c|c|}\n\\hline Expression & Type & Meaning \\\\\n\\hline$-f(x)$ & \\begin{tabular}{l}\nVertical \\\\\n(reflection across \\\\\nthe $x$-axis)\n\\end{tabular} & \\begin{tabular}{l}\nEvery point on the graph of $y=f(x)$ \\\\\ncorresponds to a point on the graph of \\\\\n$y=-f(x)$ with the same $x$-value but the \\\\\nopposite $y$-value.\n\\end{tabular} \\\\\n\\hline$f(-x)$ & \\begin{tabular}{l}\nHorizontal \\\\\n(reflection across \\\\\nthe $y$-axis)\n\\end{tabular} & \\begin{tabular}{l}\nEvery point on the graph of $y=f(x)$ \\\\\ncorresponds to a point on the graph of \\\\\n$y=f(-x)$ with the same $y$-value but the \\\\\nopposite $x$-value.\n\\end{tabular} \\\\\n\\hline$-f(-x)$ & \\begin{tabular}{l}\nVertical and \\\\\nhorizontal\n\\end{tabular} & \\begin{tabular}{l}\nEvery point on the graph of $y=f(x)$ \\\\\ncorresponds to a point on the graph of \\\\\n$y=-f(-x)$ with the opposite $x$ - and $y$ - \\\\\nvalues.\n\\end{tabular} \\\\\n\\hline\n\\end{tabular}\n$g$ is a vertical and horizontal reflection of $f$. \\n g(x)=-f(-x) So the answer is D\nAnswer: g(x)=-f(-x)"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081602.png | 081602 |
017538 | [
{
"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 approximate cost to cover the hexagon's surface if one square inch costs $0.50?\nChoices:\nA. $46.75\nB. $48.75\nC. $50.00\nD. $93.50"
},
{
"from": "gpt",
"value": "To find the cost, multiply the area of the hexagon by the cost per square inch. With the area being approximately 93.5 square inches and the cost per square inch being $0.50, the total cost is \n$$93.5 \\times 0.50 = 46.75$$\n dollars. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017538.png | 017538 |
074621 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is Ken closer than 120 km to point B before 9 am?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "From the information available, which states the distance at 9 am is 120 km, it implies that at 9 am, when he is at point A, this is the exact distance; thus, not closer. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074621.png | 074621 |
042953 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many entries are there for scores below 20?\nChoices:\nA. 5\nB. 6\nC. 7\nD. 8"
},
{
"from": "gpt",
"value": "The data in the image must be examined, particularly noting the score categories below 20 and summing those. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/042953.png | 042953 |
056241 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, use the proportion between the hypotenuse and a leg to calculate $k$."
},
{
"from": "gpt",
"value": "Given the hypotenuse length in the image, employ $$ \\text { hypotenuse } = \\sqrt{2} \\cdot \\text { leg } $$ to find the leg's length, denoted as $k$. This involves substituting and solving the equation with the provided hypotenuse amount. So the answer is Calculated $k$ from the known hypotenuse length.\nThe answer is Calculated $k$ from the known hypotenuse length."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056241.png | 056241 |
066825 | [
{
"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 total charge for a 3 hour consultation?"
},
{
"from": "gpt",
"value": "At 3 hours, there is a closed circle on the graph indicating the rate for that duration.\nThe corresponding value on the vertical axis indicates the charge.\nAmount charged $=1750$ dollars So the answer is Amount charged $=1750$ dollars\nThe answer is Amount charged $=1750$ dollars"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/066825.png | 066825 |
085453 | [
{
"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: Consider the points that have been plotted on the coordinate axes.\nWhat is the increase in y from x=1 to x=2?\n\n"
},
{
"from": "gpt",
"value": "When $x=1, y=10$.\n When $x=2, y=25$.\n Increase in $y=25-10$\n Evaluate.\n Increase in $y=15$ So the answer is 15\nThe answer is 15"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085453.png | 085453 |
038931 | [
{
"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 two temperature points show the minimal change in chirp counts?\nChoices:\nA. 4 to 10 degrees\nB. 10 to 20 degrees\nC. 30 to 40 degrees\nD. 40 to 50 degrees"
},
{
"from": "gpt",
"value": "40 to 50 degrees shows minimal change in chirp counts as the counts have started to plateau here. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038931.png | 038931 |
072048 | [
{
"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: With angle A at 35 degrees and angle C at 45 degrees, is angle AEC's measure exactly 80 degrees?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Extending AE to point F, making angles A and EFC equal, results in angle CEF being 100 degrees due to the 180-degree triangle rule. Therefore, angle AEC is supplementary to CEF, amounting to 80 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072048.png | 072048 |
017035 | [
{
"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, calculate $TW$ when $UV = 32$?\nChoices:\nA. 16\nB. 32\nC. 64"
},
{
"from": "gpt",
"value": "Applying the midsegment theorem, the segment $TW$ which is a midsegment measures half of the segment length $UV$, totalling $16$ when $UV = 32$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017035.png | 017035 |
005478 | [
{
"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 symmetry in the shape achieved?\nChoices:\nA. Using identical arcs and equal lines\nB. Using different circles\nC. Using reflective symmetry\nD. Following radial symmetry"
},
{
"from": "gpt",
"value": "The symmetric nature of the design is achieved by employing geometrically equal arcs and lines arranged carefully. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/005478.png | 005478 |
006929 | [
{
"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 rule that allows for the calculation of $x$?\nChoices:\nA. Angles on the same line sum up to 180 degrees\nB. The sum of angles in a triangle is 180 degrees\nC. Angles in the same segment are equal\nD. Opposite angles in a cyclic quadrilateral sum up to 180 degrees"
},
{
"from": "gpt",
"value": "Notice that the two angles are standing on the same arc. This gives us the rule that allows for the calculation of $x$. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/006929.png | 006929 |
053291 | [
{
"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 total length of both radii of the sector."
},
{
"from": "gpt",
"value": "The image provides us with the radius of the sector. The total length of both radii is simply twice the radius, which is 2 × 70.6 mm. So the answer is The total length of both radii is 2 × 70.6 mm.\nThe answer is The total length of both radii is 2 × 70.6 mm."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053291.png | 053291 |
060660 | [
{
"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 set of input values for the function g?"
},
{
"from": "gpt",
"value": "The domain of a function includes all the valid input values. In the image, points are marked at specific x-values where the function is defined. So the answer is The x-values 0, 2, 4, 5, and 7\nThe answer is The x-values 0, 2, 4, 5, and 7"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060660.png | 060660 |
004799 | [
{
"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 direction reference for bearing from O to A?\nChoices:\nA. North\nB. South\nC. East\nD. West"
},
{
"from": "gpt",
"value": "The reference point for bearing, especially a true bearing, is always North. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/004799.png | 004799 |
061874 | [
{
"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 whether the graph depicts only one output for each input."
},
{
"from": "gpt",
"value": "Checking if each input data point on the graph corresponds to only one output can confirm whether the graph represents a function. This concept directly relates to the vertical line test. So the answer is one output per input or multiple outputs per input\nThe answer is one output per input or multiple outputs per input"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061874.png | 061874 |
056587 | [
{
"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, can you determine the scale factor from triangle $\triangle I J K$ to triangle $\triangle W X V$?"
},
{
"from": "gpt",
"value": "A scale factor between two similar triangles can be found by selecting equivalent sides and computing the ratio. In the case of $\triangle I J K$ and $\triangle W X V$, selecting sides $IJ$ and $WX$ respectively allows calculation of this scale factor. So the answer is The scale factor is determined by dividing the length of a side from $\triangle I J K$ by the corresponding side of $\triangle W X V$.\nThe answer is The scale factor is determined by dividing the length of a side from $\triangle I J K$ by the corresponding side of $\triangle W X V$."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056587.png | 056587 |
060661 | [
{
"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 the x-values at which the function g has defined outputs."
},
{
"from": "gpt",
"value": "Checking the graph in the image, it’s clear that the function g has outputs only at certain x-values where points are plotted. So the answer is The x-values 0, 2, 4, 5, and 7\nThe answer is The x-values 0, 2, 4, 5, and 7"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060661.png | 060661 |
080605 | [
{
"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: $B E$ equals\nChoices:\nA. $1 / 2 A B$\nB. $1 / 2 A C$\nC. $1 / 2 B D$\nD. $A B-O B$\nE. $O B-E C$"
},
{
"from": "gpt",
"value": "Since $O E$ is perpendicular to $B D$ and since it passes through the center of the circle, it bisects $B D$. Thus, $B E=1 / 2 B D$. So the answer is C\nAnswer: $1 / 2 B D$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080605.png | 080605 |
056287 | [
{
"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 complementary to the 60-degree angle?"
},
{
"from": "gpt",
"value": "To find the angle complementary to the 60-degree angle in the image, use the property that the sum of complementary angles is 90 degrees. Set up the equation for the unknown angle u such that u plus 60 degrees equals 90 degrees. So the answer is 30 degrees\nThe answer is 30 degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056287.png | 056287 |
000942 | [
{
"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, calculate the total length of the path from point A to point C via point B.\nChoices:\nA. 10 units\nB. 15 units\nC. 20 units\nD. 25 units"
},
{
"from": "gpt",
"value": "The total path length is the sum of the lengths of AB and BC. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/000942.png | 000942 |
060480 | [
{
"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 horizontal length of the highlighted segment on the graph represent in relation to the function $D(t)$?"
},
{
"from": "gpt",
"value": "The highlighted segment on the graph represents one complete cycle of the sinusoidal function, from one peak to the next (or from one trough to the next). The length of this segment is the period of the function $D(t)$, which measures the time it takes for the function to repeat its pattern. So the answer is Period\nThe answer is Period"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060480.png | 060480 |
054560 | [
{
"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, can we identify the type of the triangle?"
},
{
"from": "gpt",
"value": "The image depicts a right triangle with angles measuring 30, 60, and 90 degrees, thus we can identify it as a 30-60-90 triangle. So the answer is 30-60-90 triangle\nThe answer is 30-60-90 triangle"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/054560.png | 054560 |
032178 | [
{
"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 $f(1)$ and $f(4)$?\nChoices:\nA. 4\nB. 5\nC. 6\nD. 7"
},
{
"from": "gpt",
"value": "From the image, $f(1) = 4$ and $f(4) = 2$. Therefore, summing these values we have $f(1) + f(4) = 4 + 2. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/032178.png | 032178 |
025212 | [
{
"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 sides does the polygon have?\nChoices:\nA. Three\nB. Four\nC. Five\nD. Six"
},
{
"from": "gpt",
"value": "Count the number of sides visible in the polygon shown in the image. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/025212.png | 025212 |
065327 | [
{
"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 the category with the highest increase in the number of problems from 1999 to 2002 at Eigen's Software Company."
},
{
"from": "gpt",
"value": "To determine the category with the highest increase, compare the numbers for each category (Bugs, Security holes, Backdoors) between 1999 and 2002 as provided in the image and identify which one has the largest numerical increase. So the answer is Security holes\nThe answer is Security holes"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065327.png | 065327 |
045999 | [
{
"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 proportion of non-blue triangles in the image?\nChoices:\nA. 75.0%\nB. 25.0%\nC. 50.0%\nD. 0%"
},
{
"from": "gpt",
"value": "Calculate the proportion of non-blue triangles by comparing the number of non-blue triangles to the total number of triangles. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/045999.png | 045999 |
027302 | [
{
"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 focus point 'F' of the parabolic antenna?\nChoices:\nA. (1, 0)\nB. (2, 0)\nC. (4, 0)\nD. (8, 0)"
},
{
"from": "gpt",
"value": "Using the general parabolic formula y^2 = 4ax with a = 8, the focus 'F' of the parabola is at (a, 0) = (8, 0), assuming the vertex is at the origin. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/027302.png | 027302 |
061943 | [
{
"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 which function shows an inverse relationship as its graph."
},
{
"from": "gpt",
"value": "The graph of $y=4^{-x}$ exhibits an inverse relationship, since as $x$ increases, $y$ decreases exponentially, consistent with an inverse exponential function. So the answer is $y=4^{-x}$\nThe answer is $y=4^{-x}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061943.png | 061943 |
034815 | [
{
"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 curve provides the upper extent of $z$?\nChoices:\nA. $z = \\frac{y}{3}$\nB. $z = \\sqrt{y}$\nC. $z = \\frac{3}{2} \\sqrt{y}$\nD. $z = 2y$"
},
{
"from": "gpt",
"value": "As per the visualization given, $z$ extends between two specific curves where the upper one is related to the square root of $y$, which can be deduced from the details given in the integration settings. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/034815.png | 034815 |
027523 | [
{
"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 line represented by the graph of the equation $y = -4x$?\nChoices:\nA. -4\nB. 4\nC. 0\nD. -1"
},
{
"from": "gpt",
"value": "The equation of the line can be expressed in the slope-intercept form as $y = mx + b$, where $m$ represents the slope. For the equation $y = -4x$, $m = -4$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/027523.png | 027523 |
006421 | [
{
"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 line is shown connecting two points?\nChoices:\nA. Line segment\nB. Ray\nC. Line"
},
{
"from": "gpt",
"value": "A line segment has two endpoints, a ray has one endpoint and extends infinitely in one direction, and a line extends infinitely in both directions. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/006421.png | 006421 |
064228 | [
{
"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 many more sections represent Larissa's train travel compared to Alfred's?"
},
{
"from": "gpt",
"value": "Count the sections of the pie charts that represent train travel for both Alfred and Larissa. Subtract Alfred's number of sections from Larissa's to find the difference. So the answer is sections\nThe answer is sections"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/064228.png | 064228 |
031841 | [
{
"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 does g(3) equal according to the graph?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 6"
},
{
"from": "gpt",
"value": "View the graph illustrated in the image to find the y-coordinate that pairs with x=3. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/031841.png | 031841 |
008352 | [
{
"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 triangle is ROP?\nChoices:\nA. Right triangle\nB. Equilateral\nC. Isosceles\nD. Scalene"
},
{
"from": "gpt",
"value": "Observing the angle measures and side lengths given or implied in the diagram, triangle ROP can be identified as a right triangle since it contains a right angle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/008352.png | 008352 |
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