id
stringlengths 6
6
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stringlengths 50
51
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|---|---|---|---|---|
056778 | [
{
"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 formula to calculate the length of $t$, given the length of the shorter leg?"
},
{
"from": "gpt",
"value": "The image depicts a scenario typical of a 30-60-90 triangle, where the length of the longer leg ($t$) can be calculated if the shorter leg's length is known. The formula to calculate $t$ in such a triangle is $t = \\sqrt{3} \\times$ the length of the shorter leg. With the shorter leg being 3 cm, we apply the formula to get $t = \\sqrt{3} \\times 3$ which equals $3\\sqrt{3}$ cm. So the answer is $t = \\sqrt{3} \\times$ the shorter leg\nThe answer is $t = \\sqrt{3} \\times$ the shorter leg"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056778.png | 056778 |
062935 | [
{
"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, where does the function intersect with the y-axis?"
},
{
"from": "gpt",
"value": "The function intersects the y-axis at the point (0, f(0)). From the graph, you can determine the value of f(0). So the answer is The function intersects the y-axis at ...\nThe answer is The function intersects the y-axis at ..."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062935.png | 062935 |
046010 | [
{
"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 triangles present?\nChoices:\nA. 15\nB. 12\nC. 10\nD. 9"
},
{
"from": "gpt",
"value": "Count all the individual triangles within the image, regardless of size and orientation. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/046010.png | 046010 |
012631 | [
{
"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 numerical value is derived from simplifying (3/2) * AB?\nChoices:\nA. 18\nB. 22\nC. 24\nD. 28"
},
{
"from": "gpt",
"value": "The calculation (3/2) * AB helps solve for the length of side AB in the context of the equal areas of triangles and the dimensions given in the image. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/012631.png | 012631 |
029138 | [
{
"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 x-coordinates where the function intersects the x-axis.\nChoices:\nA. x = -1 and x = 3\nB. x = 0 and x = 2\nC. x = 1 and x = 4\nD. No intersection"
},
{
"from": "gpt",
"value": "The zeros of the function can be estimated by viewing where the parabola hits the x-axis, which are typically symmetrical around the vertex. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/029138.png | 029138 |
061663 | [
{
"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, find the possible $y$-values that the curve encompasses on the $xy$-plane."
},
{
"from": "gpt",
"value": "By examining the spread of the curve from its lowest to highest point, it encompasses a definite range of $y$ values. A direct observation gives a variation of $y$ from 3 to 8. So the answer is from 3 to 8\nThe answer is from 3 to 8"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061663.png | 061663 |
028482 | [
{
"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. 4 sides\nB. 5 sides\nC. 6 sides\nD. 7 sides"
},
{
"from": "gpt",
"value": "Count the number of distinct lines that form the perimeter of the shape shown in the image. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028482.png | 028482 |
018472 | [
{
"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 apex points does the shape have?\nChoices:\nA. 2\nB. 3\nC. 4\nD. 5"
},
{
"from": "gpt",
"value": "As the image shows a triangle, it has three apex points. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/018472.png | 018472 |
033520 | [
{
"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, verify if f(x) has an infinite discontinuity at x = -1.\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Infinite discontinuity typically involves the function heading towards infinity. The depicted graph neither ascends nor descends towards infinity around x = -1, indicating the absence of an infinite discontinuity. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033520.png | 033520 |
061100 | [
{
"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 kind of slope does the line illustrated have?"
},
{
"from": "gpt",
"value": "To determine the slope of the line shown in the image, observe the direction in which the line moves from left to right. A line increasing in this direction has a positive slope, while a line decreasing indicates a negative slope. A horizontal line represents a zero slope, and a vertical line shows an undefined slope. So the answer is The slope of the line in the image is\nThe answer is The slope of the line in the image is"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061100.png | 061100 |
023356 | [
{
"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 average of the measured dimensions?\nChoices:\nA. 12.33 feet\nB. 15.5 feet\nC. 10.75 feet\nD. 9 feet"
},
{
"from": "gpt",
"value": "The average of the measured dimensions is calculated by summing all the measurements and dividing by the number of measurements. For the measurements provided, the calculation is $$(2 + 17 + 18) / 3 = 12.33 \\text{ feet}.$$ This gives the average length per dimension. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/023356.png | 023356 |
079102 | [
{
"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 diagram, is 22/7 both a rational number and an integer?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The value 22/7, despite being a rational number, is not an integer as depicted in the diagram. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079102.png | 079102 |
049821 | [
{
"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, if AB and BC form a rectangle with an area of 48 square units, what is the length of each side?"
},
{
"from": "gpt",
"value": "Using the area formula for rectangles \\(A = l \\times w\\) along with the given relationship from the tangent, assume sides as \\(3x\\) and \\(4x\\). Solving the equation \\(3x \\times 4x = 48\\) results in the lengths 6 for AB and 8 for BC. So the answer is AB is 6 units and BC is 8 units.\nThe answer is AB is 6 units and BC is 8 units."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/049821.png | 049821 |
031982 | [
{
"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 should the graph of f(x) be shifted upward to ensure g(x) = 0 has one solution?\nChoices:\nA. -2\nB. 1\nC. 2\nD. 3"
},
{
"from": "gpt",
"value": "To achieve a single solution for g(x) = 0, a shift that positions the vertex on the x-axis is necessary. This would mean adding the inverse of the vertex’s y-coordinate. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/031982.png | 031982 |
061638 | [
{
"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 there more than one y-value for some x-values?"
},
{
"from": "gpt",
"value": "Analyzing whether there are multiple y-values for any x-value involves checking the graph points. A graph of a function will not show multiple y-values corresponding to a single x-value. So the answer is Yes if some x-values have more than one y-value; No if each x-value has only one y-value.\nThe answer is Yes if some x-values have more than one y-value; No if each x-value has only one y-value."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061638.png | 061638 |
036115 | [
{
"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 average number of schools built per month during the observed period?\nChoices:\nA. 8 schools/month\nB. 10 schools/month\nC. 15 schools/month\nD. 20 schools/month"
},
{
"from": "gpt",
"value": "Calculate the average by dividing the total number of schools by the total number of months shown in the image. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/036115.png | 036115 |
039005 | [
{
"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 slope of the line of best fit.\nChoices:\nA. -0.187\nB. -0.197\nC. -0.207\nD. -0.217"
},
{
"from": "gpt",
"value": "The line equation from the scatterplot is given as $y = -0.197x + 29,995$, which clearly indicates the slope as -0.197. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/039005.png | 039005 |
011894 | [
{
"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 area of the figure is calculated to be 200 square units, what is its perimeter?\nChoices:\nA. 80\nB. 100\nC. 120\nD. 140\nE. 160"
},
{
"from": "gpt",
"value": "Area of each square = 200 / 4 = 50 units, so the side of each square = sqrt(50) ≈ 7.07 units. Assume the perimeter is composed of 16 such sides, 16(7.07) ≈ 113 So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/011894.png | 011894 |
078423 | [
{
"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: According to the graph, in 1969 was the number of violent crimes per 100,000 capita in the United States close to 325?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "As 1969 is located right before 1970 and taking into account the solid curve's trend, it aligns slightly below the midway point between 300 and 350. This positions it around 325, supporting the estimate. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/078423.png | 078423 |
062931 | [
{
"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 points where the function crosses the x axis?"
},
{
"from": "gpt",
"value": "From the graph, you can see where the curve intersects the x axis. These points are where the function equals zero. So the answer is The function crosses the x axis at ....\nThe answer is The function crosses the x axis at ...."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062931.png | 062931 |
077512 | [
{
"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: On the ratio scale, did the consumer prices reach 115 by the end of 1985?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Drawing a vertical line at the end of 1985, we reach the consumer price graph at about the 110 level, which is below 115. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/077512.png | 077512 |
072593 | [
{
"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 regular hexagon, constructed with each side equal to one side of an equilateral triangle with a perimeter of $2a$ feet, have a perimeter less than $5a$?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Calculating the side AF of the triangle as $2a/3$ and using this to find the hexagon's perimeter as 4a shows that 4a is indeed less than 5a. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072593.png | 072593 |
010080 | [
{
"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 circumference of the circle?\nChoices:\nA. 6 pi units\nB. 8 pi units\nC. 10 pi units\nD. 12 pi units"
},
{
"from": "gpt",
"value": "Using the radius obtained from the image, the circumference is calculated using $2 \\pi \\times radius$. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/010080.png | 010080 |
025707 | [
{
"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 graph of $y = x^3 - x^2 - x$ exhibit symmetrical behavior?\nChoices:\nA. Yes, symmetrical about the y-axis\nB. Yes, symmetrical about the origin\nC. No symmetrical behavior\nD. Yes, symmetrical about the x-axis"
},
{
"from": "gpt",
"value": "Symmetry in graphs can be checked by observing if either side of the graph mirrors the other around the y-axis, the origin, or any vertical line. Visually examine the graph to verify this. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/025707.png | 025707 |
058410 | [
{
"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 required height of the prism to achieve a volume of 756 cm³."
},
{
"from": "gpt",
"value": "First, calculate the area of the base of the prism by subtracting the area of any smaller sections from the larger rectangular region. Then, use the volume formula (Volume = base area x height) to solve for the height given the volume is 756 cm³. So the answer is Height = Volume / Base Area\nThe answer is Height = Volume / Base Area"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/058410.png | 058410 |
023270 | [
{
"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 object have the same area?\nChoices:\nA. 2\nB. 4\nC. 6\nD. 8"
},
{
"from": "gpt",
"value": "From the calculations there are 4 faces with the same area of 2 square centimeters and 2 faces with the same area of 4 square centimeters. Hence, there are 4 faces with the same area. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/023270.png | 023270 |
067132 | [
{
"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 terms are plotted in the geometric sequence?"
},
{
"from": "gpt",
"value": "Count the number of points plotted in the given sequence on the graph to determine the total number of terms presented. So the answer is A total count of the plotted terms\nThe answer is A total count of the plotted terms"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/067132.png | 067132 |
008186 | [
{
"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 geometric shape is being calculated for area in the problem?\nChoices:\nA. Circle\nB. Triangle\nC. Sector\nD. Rectangle"
},
{
"from": "gpt",
"value": "The calculations use a radius and an angle, indicating the shape is a sector, which is a portion of a circle. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/008186.png | 008186 |
014718 | [
{
"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 length of the rectangle?\nChoices:\nA. 2\nB. 4\nC. 6\nD. 8\nE. None of these"
},
{
"from": "gpt",
"value": "The perimeter of a rectangle is $16$ and the width is $4$. Letting the length be $l$ and using $2l + 2 \\times 4 = 16$, solve for $l$ to get $8$. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/014718.png | 014718 |
062743 | [
{
"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 used to check for solution in the inequality system?"
},
{
"from": "gpt",
"value": "The coordinates (-2, -3) are specifically checked by seeing if they fall inside the intersection of all shaded areas on the graph. So the answer is (-2, -3)\nThe answer is (-2, -3)"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062743.png | 062743 |
062068 | [
{
"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 tangent of the angle theta with its terminal side at the point (-4, -6)."
},
{
"from": "gpt",
"value": "From the image, where theta's terminal point is (-4, -6), the right triangle's sides are used to compute $\\tan\\theta$:\n$$\n\\tan\\theta = \\frac{\\text{opposite}}{\\text{adjacent}} = \\frac{-6}{-4} \n$$\nReduce the fraction to its simplest form by dividing both numerator and denominator by -2:\n$$\n\\tan\\theta = \\frac{3}{2}\n$$ So the answer is $\\tan\\theta = \\frac{3}{2}$\nThe answer is $\\tan\\theta = \\frac{3}{2}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062068.png | 062068 |
028781 | [
{
"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 first maximum point of the function $y=5 \\cos \\left(x-45^{\\circ}\\right)$ for $x \\geq 0$?\nChoices:\nA. (0^{\\circ}, 1)\nB. (45^{\\circ}, 5)\nC. (-45^{\\circ},-5)\nD. (0^{\\circ},5)"
},
{
"from": "gpt",
"value": "$(x, y)=(45^{\\circ}, 5)$ is the first maximum point of the function $y=5 \\cos \\left(x-45^{\\circ}\\right)$ for $x \\geq 0$ So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028781.png | 028781 |
054246 | [
{
"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, why are angles ODC and OCD equivalent?"
},
{
"from": "gpt",
"value": "Due to the Isosceles Triangle Theorem, the base angles of an isosceles triangle are congruent, which applies to angles ODC and OCD in triangle OCD. So the answer is Isosceles Triangle Theorem\nThe answer is Isosceles Triangle Theorem"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/054246.png | 054246 |
084811 | [
{
"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 of $\\triangle U V W$."
},
{
"from": "gpt",
"value": "You are given two angle measures $(m \\angle V$ and $m \\angle U)$ and the length of one of their opposite sides $(u)$. To find the area of $\\triangle U V W$, you must know two side lengths and the measure of their included angle.\n\nSo, find $m \\angle W$. Then use the Law of Sines to find $v$, the length of the side opposite $\\angle V$.\nFind $\\boldsymbol{m} \\angle \\boldsymbol{W}$.\nSolve for $m \\angle W$ using the fact that the angle measures of a triangle sum to $180^{\\circ}$.\n$$\n\\begin{array}{r}\nm \\angle V+m \\angle U+m \\angle W=180^{\\circ} \\\\\n27^{\\circ}+32^{\\circ}+m \\angle W=180^{\\circ} \\\\\n59^{\\circ}+m \\angle W=180^{\\circ} \\\\\nm \\angle W=121^{\\circ}\n\\end{array}\n$$\n\nSo, $m \\angle W=121^{\\circ}$.\nFind $v$.\nSince you know the measure of $\\angle U$, the length $u$ of its opposite side, and the measure of $\\angle V$, use the Law of Sines to find the length $v$ of the side opposite $\\angle V$.\n$$\n\\begin{aligned}\n\\frac{u}{\\sin (U)} & =\\frac{v}{\\sin (V)} \\\\\n\\frac{41}{\\sin 32^{\\circ}} & =\\frac{v}{\\sin 27^{\\circ}} \\\\\n\\frac{41}{0.5299 \\ldots} & =\\frac{v}{0.4539 \\ldots} \\\\\n77.3702 \\ldots & =\\frac{v}{0.4539 \\ldots} \\\\\n35.1253 \\ldots & =v\n\\end{aligned}\n$$\n\nSo, $v=35.1253 \\ldots$ in.\n\nFind the area.\nNow that you know two side lengths of the triangle and the measure of the included angle $(v$, $u$, and $m \\angle W$ ), plug the values into the area formula.\n$$\n\\begin{aligned}\n\\text { Area of } \\triangle U V W & =\\frac{1}{2} v u \\sin (W) \\\\\n& =\\frac{1}{2} \\cdot 35.1253 \\ldots \\cdot 41 \\sin 121^{\\circ} \\\\\n& =\\frac{1}{2} \\cdot 35.1253 \\ldots \\cdot 41 \\cdot 0.8571 \\ldots \\\\\n& =617.2205 \\ldots\n\\end{aligned}\n$$\n\nTo the nearest tenth, the area of $\\triangle U V W$ is 617.2 square inches. So the answer is 617.2\nThe answer is 617.2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084811.png | 084811 |
025658 | [
{
"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 graph intersect the x-axis?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The graph approaches the x-axis as x becomes negative but does not actually touch or cross it, meaning there is no intersection with the x-axis. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/025658.png | 025658 |
084584 | [
{
"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 $\\angle A O C$ is a right angle, then $\\angle A O C$ equals\nChoices:\nA. 60 degrees\nB. 90 degrees\nC. 180 degrees\nD. 270 degrees\nE. 360 of these."
},
{
"from": "gpt",
"value": "Right angles measure 90 degrees. So the answer is B\nAnswer: 90 degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084584.png | 084584 |
026714 | [
{
"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 x-coordinate is shared by both functions $f(x)$ and $g(x)$ at their intersection with the x-axis?\nChoices:\nA. $x = 2$\nB. $x = -1$\nC. $x = -3$\nD. $x = 0$"
},
{
"from": "gpt",
"value": "From the analysis of their roots, both functions $f(x)$ and $g(x)$ have the root $x = 2$ as a common intersection with the x-axis. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/026714.png | 026714 |
016513 | [
{
"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 the perimeter of triangle GEH to triangle FED?\nChoices:\nA. 1:1\nB. 1:2\nC. 2:1\nD. 3:1"
},
{
"from": "gpt",
"value": "Calculate or observe the perimeters of both triangles and establish their ratio. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016513.png | 016513 |
085314 | [
{
"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 volume of this object?"
},
{
"from": "gpt",
"value": "Count the cubes by row. Remember that some cubes may be hidden behind other cubes.\nThere are 4 cubes in the bottom row.\nThere are 2 cubes in the top row.\n\nThere are 6 cubes in all. The volume is 6 cubic units. So the answer is 6\nThe answer is 6"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085314.png | 085314 |
001073 | [
{
"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 degree of angle x if angle BAC is 33 degrees.\nChoices:\nA. 33 degrees\nB. 66 degrees\nC. 99 degrees\nD. 132 degrees"
},
{
"from": "gpt",
"value": "Using the Central Angle Theorem, angle x, being the angle at the center, is twice angle BAC. Since BAC is 33 degrees, x = 2*33 = 66 degrees. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/001073.png | 001073 |
052313 | [
{
"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 heights of the parallelograms?"
},
{
"from": "gpt",
"value": "The heights of the two smaller parallelograms are equal and different from the larger one, which affects the total area calculation. So the answer is 6 cm and 11 cm\nThe answer is 6 cm and 11 cm"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052313.png | 052313 |
068178 | [
{
"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, if a whole is divided into fourths, how many 1/4 segments would there be in three wholes?"
},
{
"from": "gpt",
"value": "With each whole being divided into four equal parts (1/4), tripling this for three wholes results in a total of 12 parts of 1/4 size each. So the answer is 12\nThe answer is 12"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/068178.png | 068178 |
078727 | [
{
"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 number 38 a rational number?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Rational numbers can be expressed as fractions, and since 38 can be expressed as the fraction 38/1, it is a rational number. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/078727.png | 078727 |
046878 | [
{
"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 shape formed by the intersection of the plane and the cylinder?\nChoices:\nA. Ellipse\nB. Circle\nC. Parabola\nD. Hyperbola"
},
{
"from": "gpt",
"value": "When a plane cuts through a cylinder at a right angle to the axis, the intersection forms a circle. The analysis depends on the relative angle between the cylinder's axis and the cutting plane. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/046878.png | 046878 |
007337 | [
{
"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 sum of angles $x$ and $y$ is 180 degrees, what does this imply about the figure?\nChoices:\nA. It is a cyclic quadrilateral\nB. It is a rectangle\nC. It is a square\nD. None of the above"
},
{
"from": "gpt",
"value": "The sum of opposite angles being 180 degrees implies the quadrilateral is cyclic. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/007337.png | 007337 |
085987 | [
{
"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: g(3)="
},
{
"from": "gpt",
"value": "The notation $g(3)$ refers to the output of the function when the input is $x=3$. If the point $(3, b)$ is on the graph, then $g(3)=b$.\nWe should look for the point on the graph whose $\\boldsymbol{x}$-coordinate is 3.\n\nThe point on the graph whose $x$-coordinate is 3 is the point $(3,4)$.\nTherefore, $g(3)=4$. \\n 4 So the answer is 4\nThe answer is 4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085987.png | 085987 |
048032 | [
{
"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 there any line segment that appears to be a radius of a circle?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "In the image, the segment from the center to the circle's edge is a radius of the circle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/048032.png | 048032 |
084661 | [
{
"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: 8. In the figure above, angle $A D C$ is a right angle. If $\\cos \\angle B D A=\\frac{\\sqrt{3}}{2}$, what is $\\sin \\angle C D B$ ?\nChoices:\nA. $\\frac{\\sqrt{3}}{2}$\nB. $\\frac{\\sqrt{2}}{2}$\nC. $\\frac{1}{2}$\nD. $\\frac{\\sqrt{3}}{4}$"
},
{
"from": "gpt",
"value": "Angle $A D C$ is said to be equal to $90^{\\circ}$. Thus, angles $B D A$ and $C D B$ are complementary, and the sine of angle $C D B$ equals the cosine of angle $B D A$. Since $\\cos \\angle B D A=\\frac{\\sqrt{3}}{2}, \\sin \\angle C D B=\\frac{\\sqrt{3}}{2}$. Choice ($\\frac{\\sqrt{3}}{2}$) is correct. So the answer is A\nAnswer: $\\frac{\\sqrt{3}}{2}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084661.png | 084661 |
004916 | [
{
"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 of the triangle are visible?\nChoices:\nA. 1\nB. 2\nC. 3\nD. 4"
},
{
"from": "gpt",
"value": "The image clearly shows all three sides of the triangle, with distinct lengths marked for each. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/004916.png | 004916 |
026323 | [
{
"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 graph has Matias used to display the data?\nChoices:\nA. Line graph\nB. Bar chart\nC. Pie chart\nD. Scatter plot"
},
{
"from": "gpt",
"value": "Identifying the type of graph used is important as it affects how data is interpreted. An exponential relationship like $P=1800 \\cdot 1.067^T$ is best represented using a line graph to show trends over time. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/026323.png | 026323 |
062597 | [
{
"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 vertical change between the two points on the line?"
},
{
"from": "gpt",
"value": "To determine the vertical change, we examine the difference in the y-values of the two points marked on the line in the image. This vertical change is essential for calculating the slope. So the answer is 8 units\nThe answer is 8 units"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062597.png | 062597 |
076267 | [
{
"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 value of f at x=5 below 5?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since f(5) is given as 2, which is below 5. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/076267.png | 076267 |
065682 | [
{
"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 does the hourly wage in Oregon compare to Idaho in terms of a single hour of work?"
},
{
"from": "gpt",
"value": "Observing the minimum wage values from the provided image table, the direct comparison for one hour of work between Oregon and Idaho can be made by a simple subtraction. So the answer is $1.85 more in Oregon\nThe answer is $1.85 more in Oregon"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065682.png | 065682 |
053806 | [
{
"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 degrees are there in the central angle of the unshaded part of the circle?"
},
{
"from": "gpt",
"value": "To find the degrees in the central angle of the unshaded part, subtract the degrees of the shaded sector from the total 360 degrees of the circle. So the answer is 218 degrees\nThe answer is 218 degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053806.png | 053806 |
009266 | [
{
"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 would one describe the triangle's alignment to the circle?\nChoices:\nA. Inscribed within the circle\nB. Circumscribed around the circle\nC. Tangent to the circle\nD. Unrelated to the circle"
},
{
"from": "gpt",
"value": "Considering that the hypotenuse matches twice the radius of the circle, it would indicate that the triangle is inscribed within the circle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/009266.png | 009266 |
085700 | [
{
"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 graph shows the velocity of a Superoo S3 as it goes from 0 to 100 km/h. The total distance travelled by the car before it reaches 100 km/h is given by \\int _0^Tv\\left(t\\right)dt, where TT is the number of seconds until the car reaches that speed.\n\nEstimate this distance."
},
{
"from": "gpt",
"value": "From the graph, we can see that the Superoo S3 reaches 100 km/h in about 19 seconds.\n\nConsider that the integral of the velocity represents the total distance travelled. Also consider that the integral is the area under the curve.\n\nWhat is the area under the curve between t=0 and t=19?\n\nWe can approximate the area by the area of a rectangle.\n\nThe rectangle has a width of 19, and the height of the rectangle is given by the function value at 9.5.\n\nDivide this area by 3600 (the number of seconds in an hour) to get the distance in kilometres. \\n 0.41 km So the answer is 0.41 km\nThe answer is 0.41 km"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085700.png | 085700 |
019623 | [
{
"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, to what unit is the initial measurement of the ceiling height converted for use in the calculation?\nChoices:\nA. millimeters\nB. centimeters\nC. meters\nD. kilometers"
},
{
"from": "gpt",
"value": "The initial measurement of the ceiling height in meters is converted into centimeters for the trigonometric calculations. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/019623.png | 019623 |
033024 | [
{
"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, by changing $x$ by 4 units, by how many units will $y$ change?\nChoices:\nA. $-2$ units\nB. $2$ units\nC. $4$ units\nD. $-4$ units"
},
{
"from": "gpt",
"value": "According to the slope $-\\frac{1}{2}$ in the image's equation, a change of $x$ by 4 units results in a $y$ change of $4 * -\\frac{1}{2} = -2$ units. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033024.png | 033024 |
082137 | [
{
"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: Compute $f(6)$."
},
{
"from": "gpt",
"value": "$f(6)=2$. The function will take on the $y$ value where the closed dot is. So the answer is 2\nThe answer is 2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082137.png | 082137 |
038100 | [
{
"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 students solved the first statistics problem correctly?\nChoices:\nA. 100 students\nB. 150 students\nC. 200 students\nD. 250 students"
},
{
"from": "gpt",
"value": "The image provides a distribution chart showing the number of students who answered each question correctly. The first bar corresponds to the first question. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038100.png | 038100 |
039290 | [
{
"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 feature of the plot indicates a quadratic relationship?\nChoices:\nA. straight slope\nB. maximum point\nC. constant value\nD. rapid growth"
},
{
"from": "gpt",
"value": "The presence of a maximum point in the plot of gas mileage versus speed suggests a parabolic, or quadratic, relationship. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/039290.png | 039290 |
074028 | [
{
"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: Can a rectangular prism with sides 5cm, 3cm, and 8cm have a surface area of 214 cm2?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The surface area of a prism is the sum of the areas of all its faces. So in such a prism, the surface area is 2*5*3 + 2*5*8 + 2*3*8 cm2 = 30 + 80 + 48 cm2 = 158 cm2, which does not match the given 214 cm2. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074028.png | 074028 |
000424 | [
{
"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 relation between the sides and angles of the polygon?\nChoices:\nA. Sides equal, Angles Equal\nB. Sides not equal, Angles not equal\nC. Sides equal, Angles not equal\nD. Sides not equal, Angles equal"
},
{
"from": "gpt",
"value": "The depicted pentagon, being regular, has both all sides and all angles equal. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/000424.png | 000424 |
008070 | [
{
"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 do you calculate the sector's area?\nChoices:\nA. Using the sector's angle and radius\nB. By using the circle's diameter\nC. Using the circumference of the circle\nD. Through the sector's arc length"
},
{
"from": "gpt",
"value": "To find the sector area, use the formula for the area of a sector (fraction of the circle's total area determined by the sector's angle and the radius squared multiplied by pi). So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/008070.png | 008070 |
044354 | [
{
"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 pH readings are above 7.3?\nChoices:\nA. Two\nB. Three\nC. Four\nD. Five"
},
{
"from": "gpt",
"value": "The question asks for the number of time the pH readings exceed 7.3. Observing and counting the points on the scatterplot that lie above the 7.3 line will provide this number. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/044354.png | 044354 |
055642 | [
{
"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 figure?"
},
{
"from": "gpt",
"value": "Perimeter of the parallelogram $= 2 \\times (\\text{base} + \\text{side}) = 2 \\times (10 + 5) = 30$ So the answer is 30\nThe answer is 30"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055642.png | 055642 |
046479 | [
{
"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 are the units used on the speedometer?\nChoices:\nA. Kilometres per hour\nB. Miles per hour\nC. Kilometres\nD. Miles"
},
{
"from": "gpt",
"value": "The units of measurement are shown in the diagram. km/h stands for 'kilometres per hour'. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/046479.png | 046479 |
008582 | [
{
"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 mathematical operation is needed to find the total square of the radius?\nChoices:\nA. Subtraction\nB. Addition\nC. Division\nD. Multiplication"
},
{
"from": "gpt",
"value": "Finding the square of the radius is necessary to apply in the formula for the area of the sector or the circle. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/008582.png | 008582 |
045743 | [
{
"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, are the majority of the squares shaded?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Looking at the analysis and diagram, the majority (more than half) of the squares are shaded. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/045743.png | 045743 |
063957 | [
{
"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 upper limit for the variable y in the given integral?"
},
{
"from": "gpt",
"value": "In the given region of integration, the variable y spans from a lower to an upper limit. The highest point that y can reach while still within the boundaries defined by the equations $x = 2y^2$ and $x = 8$ is necessary for setting up the definite integral correctly. Reevaluating the functions at these boundaries, we can confirm the upper limit of y to be 2. So the answer is 2\nThe answer is 2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063957.png | 063957 |
081854 | [
{
"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: Consider the graph shown.\n\nWhich of the following relationships could be represented by the given graph?\nChoices:\nA. The number of people (y) attending a parent/teacher conference when there are x parents, each bringing 2 children.\nB. he number of layers (y) resulting from a rectangular piece of paper being folded in half x times.\nC. The number of handshakes (y) made by x people in a room if every person shakes hands with every other person."
},
{
"from": "gpt",
"value": "For each relationship, think about what the value of y should be when x is equal to 1 or 2.\n\nDoes this match the information shown in the graph?\n\nThe graph shown passes through the point \\left(1,2\\right).\n\nSo, we can check which of these scenarios are true:\n\nWhen there is 1 person in the room, there will be 2 handshakes.\nWhen a piece of paper is folded 1 time, there will be 2 layers.\nWhen 1 parent attends the conference, there will be a total of 2 people going. \\n he number of layers (y) resulting from a rectangular piece of paper being folded in half x times. So the answer is B\nAnswer: he number of layers (y) resulting from a rectangular piece of paper being folded in half x times."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081854.png | 081854 |
056511 | [
{
"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 measure of the exterior angle at vertex A?"
},
{
"from": "gpt",
"value": "$\\angle A$ is an exterior angle of the triangle. The two remote interior angles measure $30^\\circ$ and $70^\\circ$. To find the exterior angle measure, add the two remote interior angle measures. $$\\begin{aligned} m \\angle A & = 30^\\circ + 70^\\circ \\\\ & = 100^\\circ \\quad \\text{ Add }\\end{aligned}$$ So, $m \\angle A=100^\\circ$. So the answer is $100^\\circ$\nThe answer is $100^\\circ$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056511.png | 056511 |
080752 | [
{
"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 $t$?"
},
{
"from": "gpt",
"value": "Look at the diagram.\n$\\overline{Q R}$ and $\\overline{Q S}$ are marked with one hatch mark each. So, they are congruent.\nBy the Isosceles Triangle Theorem, the angles opposite $\\overline{Q R}$ and $\\overline{Q S}$ must also be congruent.\nThe angle opposite $\\overline{Q R}$ is $\\angle S$ and the angle opposite $\\overline{Q S}$ is $\\angle R$. So, $\\angle S$ and $\\angle R$ have the same measure. From the diagram you can see that $m \\angle R=t$, so $m \\angle S=t$ as well.\n\nNow, set the sum of the interior angle measures of $\\triangle Q R S$ equal to $180^{\\circ}$ and solve for $t$.\n$$\n\\begin{array}{rlrl}\nm \\angle Q+m \\angle R+m \\angle S & =180^{\\circ} & \\\\\n42^{\\circ}+t+t & =180^{\\circ} \\quad \\text { Plug in } \\mathrm{m} \\angle \\mathrm{Q}=42^{\\circ}, \\mathrm{m} \\angle \\mathrm{R}=\\mathrm{t}, \\text { and } \\mathrm{m} \\angle \\mathrm{S}=\\mathrm{t} \\\\\n2 t+42^{\\circ} & =180^{\\circ} \\quad \\text { Combine like terms } \\\\\n2 t & =138^{\\circ} \\quad \\text { Subtract } 42^{\\circ} \\text { from both sides } \\\\\nt & =69^{\\circ} \\quad \\text { Divide both sides by } 2\n\\end{array}\n$$\n\nSo, $t=69^{\\circ}$. So the answer is $69^{\\circ}$\nThe answer is $69^{\\circ}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080752.png | 080752 |
067852 | [
{
"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 calculation would need to be performed to figure out the total student population"
},
{
"from": "gpt",
"value": "A proportion calculation would be needed to determine the total number of students. Represent the proportion of votes for Candidate A to total votes as 0.48 to 1, and set equals to the proportion of number of students voting for A to total students (614 to x), then solve for x. So the answer is Setting up a proportion\nThe answer is Setting up a proportion"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/067852.png | 067852 |
005926 | [
{
"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 equal triangles can be formed by drawing one diagonal in the square?\nChoices:\nA. 2\nB. 4\nC. 1\nD. 8"
},
{
"from": "gpt",
"value": "Drawing one diagonal divides the square into 2 equal right-angled triangles. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/005926.png | 005926 |
003756 | [
{
"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 relationship between ∠ACB and ∠ADB.\nChoices:\nA. Complementary\nB. Supplementary\nC. Equal\nD. None of the above"
},
{
"from": "gpt",
"value": "From the fact ∠ADB is larger than ∠ACB and they together form a linear pair (lying on a straight line), it can be deduced that they are supplementary. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/003756.png | 003756 |
071539 | [
{
"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 side b twice the length of AE?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since AE is equal to 8 cm, twice its length would be 16 cm. However, calculating b = BD - AE results in b = 6 cm, which is not twice the length of AE. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/071539.png | 071539 |
004817 | [
{
"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 do you need to rotate from South to face point A?\nChoices:\nA. 28 degrees\nB. 62 degrees\nC. 32 degrees\nD. 95 degrees"
},
{
"from": "gpt",
"value": "The rotation angle towards East from point O to point A would be less than 90 degrees, and since it's specified to be towards the East, a unique angle is given in the bearing. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/004817.png | 004817 |
055255 | [
{
"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 range of possible lengths for the perimeter of the triangle?"
},
{
"from": "gpt",
"value": "Considering each side of the triangle has a specific range based on the geometric relationships described — with two equal radii each being 10 units and the third side less than 20 but more than 0 — the perimeter totals to slightly less than double the sum of radii when at maximum length for the third side. So the answer is The perimeter is less than 40 and greater than 20 units.\nThe answer is The perimeter is less than 40 and greater than 20 units."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055255.png | 055255 |
065813 | [
{
"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 children painted more than 2 flower pots?"
},
{
"from": "gpt",
"value": "By examining the columns for 3, 4, and 5 flower pots, we count all the instances where children are recorded. Summing these records provides the number of children who painted more than 2 flower pots. So the answer is 17\nThe answer is 17"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065813.png | 065813 |
028497 | [
{
"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 amplitude of the function change when y=cos x is shifted to obtain y=cos x+4?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The amplitude of the function does not change when y=cos x is shifted vertically to obtain y=cos x+4. The amplitude of a function is the maximum absolute value of the function, and vertical shifts do not affect it. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028497.png | 028497 |
063607 | [
{
"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 $f(1)$?"
},
{
"from": "gpt",
"value": "From the graph in the image, the point $(1, 4)$ has a closed dot indicating the function $f(x)$ is defined at $x = 1$ and has a value of 4. So the answer is 4\nThe answer is 4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063607.png | 063607 |
065963 | [
{
"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, evaluate the direction of the trend represented in the scatter plot."
},
{
"from": "gpt",
"value": "One should assess whether the spread of data points moves from upper left to lower right or follows another pattern. A downward trend to the right indicates a negative direction in how the variables are related. So the answer is negative trend\nThe answer is negative trend"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065963.png | 065963 |
036142 | [
{
"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 increase in the number of schools each month follow a linear pattern?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Examine the sequence of monthly school construction numbers in the image to see if the increase forms a straight line when plotted. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/036142.png | 036142 |
056604 | [
{
"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 how many times $DE$ fits into $UW$."
},
{
"from": "gpt",
"value": "With the measurements $UW=30$ and $DE=3$, the calculation for how many times $DE$ fits into $UW$ is simple division: $$\\frac{UW}{DE} = \\frac{30}{3} = 10$$ This shows that $DE$ fits into $UW$ ten times. So the answer is 10\nThe answer is 10"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056604.png | 056604 |
062837 | [
{
"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-coordinates where the function value is equal to 8."
},
{
"from": "gpt",
"value": "To solve this, observe the plotted points on the graph where the y-value is precisely 8. These points indicate where the function g(x) achieves the value of 8, and one needs to record the x-coordinates at these points. So the answer is x = -4 and x = 9\nThe answer is x = -4 and x = 9"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062837.png | 062837 |
076293 | [
{
"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 function value $g(4)$ less than 3?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "According to the graph information provided for $g$, the function value of $g(4)$ is 2, which indeed is less than 3. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/076293.png | 076293 |
002771 | [
{
"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 should the distance 'y' be rounded to?\nChoices:\nA. 1 decimal place\nB. 2 decimal places\nC. Whole number\nD. 3 decimal places"
},
{
"from": "gpt",
"value": "Once y is calculated by taking the square root of 2284.96, the requirement is to express y up to one decimal place to report the precise location of point B from the base. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/002771.png | 002771 |
019201 | [
{
"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 curve make a complete rotation about the axis?\nChoices:\nA. One\nB. Two\nC. Four\nD. Six"
},
{
"from": "gpt",
"value": "The helical path given by the parametric equation 𝐫(𝑡)=⟨𝑐𝑜𝑠(𝑡), 𝑠𝑖𝑛(𝑡), 3𝑡⟩ makes rotations as 𝑡 ranges from 0 to 4𝜋. Given that 2π corresponds to one full rotation, 4π will result in two complete rotations. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/019201.png | 019201 |
043487 | [
{
"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 minimum value of n for Sophia’s savings to exceed $100,000?\nChoices:\nA. n=8\nB. n=9\nC. n=10\nD. n=11"
},
{
"from": "gpt",
"value": "Solving $4^n > 100,000$, we calculate $n \\geq 10$ to find the first instance where her savings exceed $100,000. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/043487.png | 043487 |
083480 | [
{
"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 triangle below. One of the side lengths is unknown.\n\nFind the length of the unknown side in this triangle, rounding your answer to two decimal places (if necessary)."
},
{
"from": "gpt",
"value": "The triangle is right-angled, so the unknown side can be found using Pythagoras' Theorem: $c^{2}=a^{2}+b^{2}$\n\nSubstitute $a=6$ and $c=13$ into the equation.\n\n$13^{2}=6^{2}+b^{2}$\n\nUse your calculator to evaluate $b^{2}$\n\n$133=b^{2}$\n\nTake the square root of both sides of the equation.\n\n$b=\\sqrt{133}$\n\nUse your calculator to evaluate $b$, correct to 2 decimal places if necessary\n\n$b=11.53$ So the answer is $b=11.53$\nThe answer is $b=11.53$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083480.png | 083480 |
006119 | [
{
"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 sides form the right angle in the triangle?\nChoices:\nA. AB\nB. BC\nC. AC"
},
{
"from": "gpt",
"value": "The image shows two sides meeting at a 90 degrees angle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/006119.png | 006119 |
000283 | [
{
"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 process would determine the center of the circumscribed circle?\nChoices:\nA. Intersecting the angle bisectors\nB. Intersecting the medians\nC. Intersecting the altitudes\nD. Intersecting the perpendicular bisectors"
},
{
"from": "gpt",
"value": "Identifying the center involves understanding geometric constructions relative to the sides and angles shown in the image. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/000283.png | 000283 |
021423 | [
{
"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 radii are used for calculating the area of the circular bases?\nChoices:\nA. 3 cm and 8 cm\nB. 2 cm and 4 cm\nC. 5 cm and 7 cm\nD. 6 cm and 9 cm"
},
{
"from": "gpt",
"value": "For calculating the area of the circular bases contributing to surface area, measurements include a smaller radius of 3 cm and a larger radius of 8 cm from the two different cylindrical sections illustrated. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/021423.png | 021423 |
078181 | [
{
"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 probability that the spinner lands on a number other than multiples of 13 greater than 1/20?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since there are 19 out of 20 numbers that are not multiples of 13, the probability that the spinner lands on any of these other numbers is 19/20. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/078181.png | 078181 |
054534 | [
{
"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 angles are complementary?"
},
{
"from": "gpt",
"value": "Angle 2 and angle 3 are complementary because they are both angles in triangle ABD and their sum equals 90 degrees, the measurement of a right angle. So the answer is Angle 2 and angle 3\nThe answer is Angle 2 and angle 3"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/054534.png | 054534 |
007295 | [
{
"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 $OU$ and $OV$ share length, what does this imply about $XY$ and $YZ$?\nChoices:\nA. Unequal lengths\nB. Equal lengths\nC. Half-circle lengths\nD. Quarter-circle lengths"
},
{
"from": "gpt",
"value": "Due to $OU$ and $OV$ being of equal length, this symmetry imposes the same equality on $XY$ and $YZ$, making them equal in length. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/007295.png | 007295 |
073821 | [
{
"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 total length of MD and MC equal to 8?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "With each MD and MC measuring 4√2 (approx 5.656), their combined length amounts to about 11.312, which is not equal to 8. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073821.png | 073821 |
044894 | [
{
"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 two wholes are divided into $\frac{1}{5}$ segments, how many segments in total will there be?\nChoices:\nA. 5\nB. 10\nC. 20\nD. 40"
},
{
"from": "gpt",
"value": "Each whole contains a set number of $\frac{1}{5}$ segments, multiplying this number by the number of wholes gives the total segments. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/044894.png | 044894 |
030029 | [
{
"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 geometric shape has been illustrated?\nChoices:\nA. Triangle\nB. Circle\nC. Square\nD. Rectangle"
},
{
"from": "gpt",
"value": "The analysis starts by identifying the shape in the image given its properties and definition. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/030029.png | 030029 |
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