id
stringlengths 6
6
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stringlengths 50
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076160 | [
{
"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 b=1 makes g(x)=0 have one solution, is this correct?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Setting b to 1 shifts the vertex of f upward to y=-1. Since this does not place the vertex on the x-axis, the graph must touch the x-axis at one point, leaving exactly one solution for g(x)=0. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/076160.png | 076160 |
050568 | [
{
"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 angle $\theta$ using the triangle sides $AC$ and $BC$."
},
{
"from": "gpt",
"value": "To determine $\tan \theta$, we will use the trigonometric formula that requires the lengths of the opposite and adjacent sides: $\tan \theta=\\frac{\\text {Opposite}}{\\text {Adjacent}} = \\frac{AC}{BC}$. Substituting the lengths from the image, $\tan \theta$ is calculated as follows: $\tan \theta = \\frac{35}{20} = \\frac{7}{4}.$ So the answer is $\\tan \\theta=\\frac{7}{4}$\nThe answer is $\\tan \\theta=\\frac{7}{4}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/050568.png | 050568 |
003635 | [
{
"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 congruent triangles.\nChoices:\nA. δ AOB and δ DOC\nB. δ BOC and δ AOD\nC. No congruent triangles"
},
{
"from": "gpt",
"value": "Given that AO and DO are equal as radii of the same circle, BO and CO are also equal as they are also radii. These congruences suggest SSS congruence condition between δ AOB and δ DOC. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/003635.png | 003635 |
054686 | [
{
"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 used to calculate the area of the square?"
},
{
"from": "gpt",
"value": "The area of the square is calculated using the relationship between the sides of the right triangle ($\\triangle AOB$) that forms one of its sides. The hypotenuse ($AB$) of this right triangle is the side of the square. We use the formula for the square of the hypotenuse, $AB^2 = AO^2 + BO^2$, and the area of the square is the square of the side length, hence $Area = AB^2$. So the answer is Area = side^2\nThe answer is Area = side^2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/054686.png | 054686 |
015492 | [
{
"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 any of the sides of the depicted shapes parallel?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "All opposite sides of a square are parallel, so there are parallel sides in the image. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/015492.png | 015492 |
034888 | [
{
"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 nature of the curve C?\nChoices:\nA. Straight line\nB. Full circle\nC. Semi-circle\nD. Parabola"
},
{
"from": "gpt",
"value": "The curve C is parameterized as a semi-circle as it only covers the lower half with a specific radius and orientation. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/034888.png | 034888 |
007521 | [
{
"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, as the value of y increases, what happens to the area of rectangle B?\nChoices:\nA. Increases\nB. Decreases\nC. Stays the same\nD. Cannot be determined"
},
{
"from": "gpt",
"value": "The area of rectangle B is determined by multiplying y (length) by 3 (width). Therefore, as y increases, the area of the rectangle also increases. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/007521.png | 007521 |
051330 | [
{
"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 relationship between the angles ∠ OBA and ∠ OAB?"
},
{
"from": "gpt",
"value": "Considering that △ OBA is an isosceles triangle where sides OA and OB are equal, the opposite angles, ∠ OBA and ∠ OAB, must also be equal. So the answer is ∠ OBA is equal to ∠ OAB\nThe answer is ∠ OBA is equal to ∠ OAB"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/051330.png | 051330 |
015516 | [
{
"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 property of the lines helps determine angle a?\nChoices:\nA. Perpendicular lines\nB. Parallel lines\nC. Intersecting lines\nD. None"
},
{
"from": "gpt",
"value": "Examining the image and properties of parallel lines, we use the concept of alternate interior angles to determine angle a. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/015516.png | 015516 |
057691 | [
{
"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 exposed surface area of the cylindrical top piece referred to in previous calculations?"
},
{
"from": "gpt",
"value": "The exposed surface area of the cylindrical top piece would have been calculated by considering the curved surface area of the cylinder without the area of the base that attaches to the prism. So the answer is 424.12 mm^2\nThe answer is 424.12 mm^2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057691.png | 057691 |
044151 | [
{
"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, during what time frame was preschool blood lead level data collected?\nChoices:\nA. 1950-1980\nB. 1980-2010\nC. 1940-1990\nD. 1990-2020"
},
{
"from": "gpt",
"value": "The vertical axis label on the left shows that the preschool blood lead trend is indicated by the dashed curve and the top time series (1940–1990). So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/044151.png | 044151 |
056008 | [
{
"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 ratio of the sides of triangle $ACB$ to triangle $CDE$?"
},
{
"from": "gpt",
"value": "Since side $AB = 20$ feet and side $DE = 40$ feet, the ratio of the sides of triangle $ACB$ to triangle $CDE$ is 1:2. So the answer is 1:2\nThe answer is 1:2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056008.png | 056008 |
030992 | [
{
"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 discontinuity of the function?\nChoices:\nA. $x = 0$\nB. $x = -1$\nC. $x = 1$\nD. No discontinuity"
},
{
"from": "gpt",
"value": "The function’s discontinuity or lack thereof is typically centered on the vertical asymptote, as displayed in the graph. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/030992.png | 030992 |
077884 | [
{
"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 number 5 appear in the range of the relation?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Given the range {6,5,1,8,3} as the range of the relation, and including the number 5 in this collection, the answer is yes. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/077884.png | 077884 |
020710 | [
{
"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 prisms regular or irregular?\nChoices:\nA. Regular\nB. Irregular"
},
{
"from": "gpt",
"value": "The prisms are regular pentagonal prisms as all faces are identical and all edges are of the same length. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/020710.png | 020710 |
072790 | [
{
"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 we conclude that the area of a parallelogram with a base of 10 and height of 4 remains 60 square units?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The correct computational area for a base of 10 and height of 4 in a parallelogram is 40 square units (10x4), not 60. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072790.png | 072790 |
035250 | [
{
"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 trees affected during the Spring season?\nChoices:\nA. 36 trees\nB. 72 trees\nC. 108 trees\nD. 144 trees"
},
{
"from": "gpt",
"value": "To find the total number of trees affected in Spring, multiply the weekly average by the number of weeks in the season. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/035250.png | 035250 |
081741 | [
{
"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: By considering the transformation that has taken place, state the coordinates of the first maximum point of the function $y=5 \\sin x+1$ for $x \\geq 0$."
},
{
"from": "gpt",
"value": "The graph of $y=5 \\sin x+1$ is the graph of $y=\\sin x$ stretched vertically by a factor of 5 and translated 1 unit upwards.\n\n$(x, y)=\\left(90^{\\circ}, 6\\right)$ So the answer is $(x, y)=\\left(90^{\\circ}, 6\\right)$\nThe answer is $(x, y)=\\left(90^{\\circ}, 6\\right)$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081741.png | 081741 |
022890 | [
{
"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 smaller figure is x square inches, what would be the area of the larger figure?\nChoices:\nA. 2x square inches\nB. 3x square inches\nC. 4x square inches\nD. 5x square inches"
},
{
"from": "gpt",
"value": "Given that the scale factor for linear dimensions is 2, the area of similar figures, being a square function of their dimensions, multiplier would be 4 (since 2 squared is 4). So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/022890.png | 022890 |
037058 | [
{
"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, did Cookstown Airport’s passenger volume exceed 340,000 in any year? If yes, which year?\nChoices:\nA. Yes, in 2016\nB. Yes, in 2017\nC. No"
},
{
"from": "gpt",
"value": "Check the numbers corresponding to Cookstown Airport for all specified years to analyze. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/037058.png | 037058 |
084957 | [
{
"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: Evaluate $\\iiint_E 12 y-8 x d V$ where $E$ is the region behind $y=10-2 z$ and in front of the region in the $x z$-plane bounded by $z=2 x$. $z=5$ and $x=0$."
},
{
"from": "gpt",
"value": "The top portion of the region (the yellow colored surface) is the graph of the portion $y=10-2 z$ that lies in front of the region $x z$-plane given in the problem statement.\n\nThe red surface is the plane defined by $z=2 x$. This is the plane that intersects the $x z$-plane at the line $z=2 x$ and is bounded above by the surface $y=10-2 z$.\n\nThe region in the $x z$-plane bounded by $z=2 x, z=5$ and $x=0$ that is referenced in the problem statement is the region $D$ and so we know that, for this problem, we'll need to be integrating $y$ first (since $D$ is in the $x z$-plane).\n\nTherefore, we have the following limits for $y$.\n$$\n0 \\leq y \\leq 10-2 z\n$$\n\nWith these limits we can also get the triple integral at least partially set up as follows.\n$$\n\\iiint_B 12 y-8 x d V=\\iint_D\\left[\\int_0^{10-2 z} 12 y-8 x d y\\right] d A\n$$\n\nAs noted in the sketch of $D$ we can easily defined by either of the following sets of limits.\n$$\n\\begin{aligned}\n& 0 \\leq x \\leq \\frac{5}{2} \\quad \\text { OR } \\quad 0 \\leq z \\leq 5 \\\\\n& 2 x \\leq z \\leq 5 \\quad 0 \\leq x \\leq \\frac{1}{2} z \\\\\n&\n\\end{aligned}\n$$\n\nThe integrand doesn't really suggest one of these would be easier than the other so we'll use the $2^{\\text {nd }}$ set of limits for no other reason than the lower limits for both are zero which might make things a little nicer in the integration process.\n\nWith these limits plugged into the integral we now have,\n$$\n\\iiint_E 12 y-8 x d V=\\int_0^5 \\int_0^{\\frac{1}{2} z} \\int_0^{10-2 z} 12 y-8 x d y d x d z\n$$\n\nOkay, now all we need to do is evaluate the integral. Here is the $y$ integration.\n$$\n\\begin{aligned}\n\\iiint_E 12 y-8 x d V & =\\left.\\int_0^5 \\int_0^{\\frac{1}{2} z}\\left(6 y^2-8 x y\\right)\\right|_0 ^{10-2 z} d x d z \\\\\n& =\\int_0^5 \\int_0^{\\frac{1}{2} z} 6(10-2 z)^2-8 x(10-2 z) d x d z\n\\end{aligned}\n$$\n\nNow let's do the $x$ integration.\n$$\n\\begin{aligned}\n\\iiint_E 12 y-8 x d V & =\\left.\\int_0^5\\left[6(10-2 z)^2 x-4 x^2(10-2 z)\\right]\\right|_0 ^{\\frac{1}{2} z} d z \\\\\n& =\\int_0^5 3 z(10-2 z)^2-z^2(10-2 z) d z \\\\\n& =\\int_0^5 14 z^3-130 z^2+300 z d z\n\\end{aligned}\n$$\n\nFinally, let's do the $z$ integration.\n$$\n\\iiint_E 12 y-8 x d V=\\left.\\left(\\frac{7}{2} z^4-\\frac{130}{3} z^3+150 z^2\\right)\\right|_0 ^5=\\frac{3125}{6}\n$$ So the answer is $\\frac{3125}{6}$\nThe answer is $\\frac{3125}{6}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084957.png | 084957 |
044338 | [
{
"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 charge shows a decrease in duration from the previous charge?\nChoices:\nA. First charge\nB. Second charge\nC. Third charge\nD. Fourth charge"
},
{
"from": "gpt",
"value": "Examine the duration times of each charge from the image data and identify a session that has less time than the one before it. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/044338.png | 044338 |
043314 | [
{
"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 range of $x$-values for the points?\nChoices:\nA. 0 to 5\nB. 0 to 8\nC. 0 to 10\nD. 5 to 15"
},
{
"from": "gpt",
"value": "Determining the lowest to highest $x$-values encompassed by the points on the plane. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/043314.png | 043314 |
008737 | [
{
"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 sides of the polygon straight or curved?\nChoices:\nA. Straight\nB. Curved"
},
{
"from": "gpt",
"value": "Look at each side of the polygon as rendered in the image to determine if they are straight lines or if any curvature is apparent. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/008737.png | 008737 |
069642 | [
{
"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 probability that a flower has thorns yet is not classified in the red category."
},
{
"from": "gpt",
"value": "Sum up the quantities of flowers that possess thorns but do not fall into the red category from the data given in the image. Divide by the total flower count to find the probability. Simplify the resultant fraction using common factors. \n\n$$\n\\text{Probability} = \\frac{\\text{Sum of non-red thorny flowers}}{\\text{Total flowers}} \\\\\n= \\frac{24}{69} \\\\\n\\text{Simplify using the GCD method.}\\n$$ So the answer is \\frac{8}{23}\nThe answer is \\frac{8}{23}"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/069642.png | 069642 |
031952 | [
{
"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 else does the line intersect with y=3, besides at the point -7?\nChoices:\nA. -5\nB. 0\nC. 2\nD. 5\nE. 8"
},
{
"from": "gpt",
"value": "From our analysis of the graph, we can see that the function h(x) intersects with y=3 at two different x-coordinate points. The coordinates are at x=-7 and at x=5, hence our answer is x=5. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/031952.png | 031952 |
026935 | [
{
"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 the graph of y=h(x) a mirror image of y=g(x)?\nChoices:\nA. Yes, on the x-axis\nB. Yes, on the y-axis\nC. No\nD. Yes, on the origin\nE. Yes, on the line y=x"
},
{
"from": "gpt",
"value": "From the graph and the provided equations, it can be seen that the transformation applied to $y = g(x)$ to become $y = h(x)$ is a horizontal shift, not a reflection. Thus, $y = h(x)$ is not a mirror image of $y = g(x)$. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/026935.png | 026935 |
061054 | [
{
"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, predict the $y$-value when $x$ is half of a large positive number ($x = 50$) in the graph of $y = -4x$?"
},
{
"from": "gpt",
"value": "In the linear equation $y = -4x$, substituting $x = 50$ results in $y = -4 \\times 50 = -200$. This relationship between $x$ and $y$ is clearly depicted in the graph, where each increase in $x$ is met with a fourfold increase in the negative direction of $y$. So the answer is The $y$ value is -200.\nThe answer is The $y$ value is -200."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061054.png | 061054 |
064174 | [
{
"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 total score did Ivan achieve for all the -1 scores together?"
},
{
"from": "gpt",
"value": "To find Ivan's total score for all -1 hole scores, multiply the number of these scores by -1. This reflects the sum of these particular scores. So the answer is -5\nThe answer is -5"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/064174.png | 064174 |
021872 | [
{
"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 constant is necessary to solve for the surface area of the cone?\nChoices:\nA. e\nB. i (imaginary unit)\nC. pi (\\pi)\nD. k (Boltzmann constant)"
},
{
"from": "gpt",
"value": "The constant \\pi (pi) is used in the formulas for calculating both the area of the circle and the lateral surface area of the cone. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/021872.png | 021872 |
086624 | [
{
"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: A group of people played a trivia game.\nHow many people are there in all?"
},
{
"from": "gpt",
"value": "Count all the X's in the line plot. There are 28 X's. There are 28 people in all. So the answer is 28\nThe answer is 28"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086624.png | 086624 |
057649 | [
{
"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 given representation a curve, a line or a circle in 3D space?"
},
{
"from": "gpt",
"value": "Going by the mathematical representation given in the illustration $\\vec{r}(t)=\\langle\\cos (t), \\sin (t), 3 t\\rangle$, it is a curve. This is also known as a helix in 3D space. So the answer is A curve (or a helix)\nThe answer is A curve (or a helix)"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057649.png | 057649 |
084603 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: $A B$ is parallel to $D C$, and $A D$ is parallel to $B C$.If $A D=A B$, then the quadrilateral is a\nChoices:\nA. parallelogram\nB. square\nC. rhombus\nD. rectangle\nE. trapezoid"
},
{
"from": "gpt",
"value": "If $A D=A B$, then $A B C D$ is a rhombus since a paralleogram with two adjacent sides equal is a rhombus. So the answer is C\nAnswer: rhombus"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084603.png | 084603 |
055055 | [
{
"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 parallel lines AF and BE, what relationship can be described about opposite sides of quadrilateral ABEF?"
},
{
"from": "gpt",
"value": "Given that AF is parallel to BE, and similarly AD is parallel to BC from the properties of a rectangle, quadrilateral ABEF thus resembles a parallelogram where opposite sides are equal. Therefore, AB equals EF, and AE equals BF. So the answer is Opposite sides are equal, AB = EF and AE = BF\nThe answer is Opposite sides are equal, AB = EF and AE = BF"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055055.png | 055055 |
067304 | [
{
"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 all the possible $y$-values present in the relation shown?"
},
{
"from": "gpt",
"value": "Identifying all $y$-values from the pairs listed in the relation shown in the image. So the answer is Range $=1,9,3,2,6$\nThe answer is Range $=1,9,3,2,6$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/067304.png | 067304 |
025317 | [
{
"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 x-value where the minimum value of f(x) occurs.\nChoices:\nA. 0\nB. -2\nC. 2\nD. 1"
},
{
"from": "gpt",
"value": "Identifying the minimum value of the function f(x) concerns locating the lowest point on the curve displayed in the image. By observing the graph, it can be established that the curve reaches its lowest point at x = 1. This is visually apparent from the downward point or trough on the graph. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/025317.png | 025317 |
016527 | [
{
"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 effect of parallel line QS on RT and RU?\nChoices:\nA. Divides proportionally\nB. Increases length\nC. Creates perpendicular lines\nD. No effect"
},
{
"from": "gpt",
"value": "The parallel nature of QS leads to RT and RU being divided proportionally. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016527.png | 016527 |
079846 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Find the length, in millimetres, of the longest side of the kite shown. Use s as the length of the side."
},
{
"from": "gpt",
"value": "The perimeter is equal to the sum of the 4 lengths of the kite.\n\nWrite an equation that shows that\nPerimeter $=2 \\times$ side $_{1}+2 \\times$ side $_{2}$\n$116=2 \\times 18+2 \\times s$\n\nPerform the multiplication.\n\n$116=36+2 s$\n\nWe want to isolate the $s$, what's the next thing we can do to achieve this?\n\nSubtract 36 from both sides of the equation.\n\n$80=2 s$\n\nWhat final step can we perform to isolate the $s$ ?\n\nDivide both sides of the equation by 2 .\n$40=s$ So the answer is $40=s$\nThe answer is $40=s$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079846.png | 079846 |
082065 | [
{
"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 formula of a function whose graph is the one displayed below."
},
{
"from": "gpt",
"value": "$y=-5 \\sin (x)$ So the answer is $y=-5 \\sin (x)$\nThe answer is $y=-5 \\sin (x)$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082065.png | 082065 |
035026 | [
{
"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, in which year did the American team win equal numbers of silver and bronze medals?\nChoices:\nA. 2002\nB. 2006\nC. 2010\nD. 2014"
},
{
"from": "gpt",
"value": "To find the year with equal numbers of silver and bronze medals, comparison of the silver and bronze columns for each year is required. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/035026.png | 035026 |
085748 | [
{
"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 graph of $y=\\cos x$. Its first maximum point for $x \\geq 0$ is at $\\left(0^{\\circ}, 1\\right)$.\n\nBy considering the transformation that has taken place, state the coordinates of the first maximum point of each of the given functions for $x \\geq 0$.\n\n$y=2-5 \\cos x$"
},
{
"from": "gpt",
"value": "The graph of $y=2-5 \\cos x$ is the graph of $y=\\cos x$ stretched vertically by a factor of 5 , reflected about the $x$-axis and then translated 2 units upwards.\n\nWhen the graph of $y=\\cos x$ is transformed into the graph of $y=2-5 \\cos x$, the first minimum point $\\left(180^{\\circ},-1\\right)$ of $y=\\cos x$ will become the first maximum point of $y=2-5 \\cos x$.\n\n$(x, y)=\\left(180^{\\circ}, 7\\right)$ So the answer is $(x, y)=\\left(180^{\\circ}, 7\\right)$\nThe answer is $(x, y)=\\left(180^{\\circ}, 7\\right)$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085748.png | 085748 |
082512 | [
{
"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 a particular object is raised 15 feet, how many pounds of force were exerted?\nChoices:\nA. $3 \\frac{3}{4}$\nB. 7\nC. $7 \\frac{1}{2}$\nD. 8\nE. 11"
},
{
"from": "gpt",
"value": "$7 \\frac{1}{2}$ is correct.\n(Use Strategy: Translate from words to algebra.)\n\nWe are given that:\nheight raised $=c$ (force exerted)\n2\nSubstituting 1 into 1 , we get\n$$\n\\begin{aligned}\n& 6=c(3) \\\\\n& 2=c\n\\end{aligned}\n$$\n\nGiven: Height object is raised $=15$ feet\n4\nSubstituting 3 and 4 into 2 , we have\n$$\n\\begin{gathered}\n15=2(\\text { force exerted }) \\\\\n7 \\frac{1}{2}=\\text { force exerted }\n\\end{gathered}\n$$ So the answer is C\nAnswer: $7 \\frac{1}{2}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082512.png | 082512 |
022159 | [
{
"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 dimensions does the figure have?\nChoices:\nA. 2\nB. 3\nC. 4\nD. 5"
},
{
"from": "gpt",
"value": "The calculation of volume suggests that the figure is three-dimensional since volume measures the space contained within a 3D body. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/022159.png | 022159 |
034259 | [
{
"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 integral expression is needed to approximate using the Midpoint Rule?\nChoices:\nA. ∫₀¹ x^2 dx\nB. ∫₁² x dx\nC. ∫₋₁² √(e^(-x^2)+1) dx\nD. ∫₀² sin(x) dx"
},
{
"from": "gpt",
"value": "The graph in the image visually represents the function under the square root, combining an exponential decay function and a constant, over the specified interval from -1 to 2. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/034259.png | 034259 |
077500 | [
{
"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 fraction 1/30 representing the population in the Mountain region?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The correct fraction for the population in the Mountain region is 1/25, not 1/30, hence the answer is 'No'. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/077500.png | 077500 |
074542 | [
{
"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: Did the graph show that Frank was already home at 5 am?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The graph expounds that at 5 am, Frank was at a distance of 5km from home, which means he was not home at that time. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074542.png | 074542 |
086047 | [
{
"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: Let f\\n be the function given by the following graph.Find $f(2)$ and $f(5)$."
},
{
"from": "gpt",
"value": "$f(2)=-1, f(5)=2$ So the answer is $f(2)=-1, f(5)=2$\nThe answer is $f(2)=-1, f(5)=2$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086047.png | 086047 |
000815 | [
{
"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, at what point does the pressure become maximal on the submerged plate?\nChoices:\nA. At the top edge\nB. At the midpoint\nC. At the bottom edge\nD. Uniform across the plate"
},
{
"from": "gpt",
"value": "The pressure exerted by water increases with depth. Therefore, within the context of the image and the described setup, the maximal pressure is at the bottom edge of the plate, at the greatest depth. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/000815.png | 000815 |
074486 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is it correct to assume the surface area could be 10 for a figure with the given calculations?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The sum of the individual face areas: $2, 2, 2, 2, 4, and 4$ add up to 16, not 10. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074486.png | 074486 |
045931 | [
{
"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 squares need to be shaded blue to make 10% of the squares shaded?\nChoices:\nA. 1\nB. 2\nC. 3\nD. 4"
},
{
"from": "gpt",
"value": "To find what constitutes 10% of the squares when there are 20 squares, compute 10% of 20, which is 2 squares. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/045931.png | 045931 |
027921 | [
{
"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 gray line?\nChoices:\nA. 0\nB. 1\nC. 2\nD. -1"
},
{
"from": "gpt",
"value": "As the equation of the gray line is $y = x$, its slope, or the coefficient of $x$, is 1. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/027921.png | 027921 |
086222 | [
{
"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: Determine the area of the region that lies inside $r=3+2 \\sin \\theta$ and outside $r=2$."
},
{
"from": "gpt",
"value": "To determine this area we'll need to know that value of $\\theta$ for which the two curves intersect. We can determine these points by setting the two equations equal and solving.\n$$\n\\begin{aligned}\n3+2 \\sin \\theta & =2 \\\\\n\\sin \\theta & =-\\frac{1}{2} \\quad \\Rightarrow \\quad \\theta=\\frac{7 \\pi}{6}, \\frac{11 \\pi}{6}\n\\end{aligned}\n$$\n\nNote as well that we've acknowledged that $-\\frac{\\pi}{6}$ is another representation for the angle $\\frac{11 \\pi}{6}$. This is important since we need the range of $\\theta$ to actually enclose the regions as we increase from the lower limit to the upper limit. If we'd chosen to use $\\frac{11 \\pi}{6}$ then as we increase from $\\frac{7 \\pi}{6}$ to $\\frac{11 \\pi}{6}$ we would be tracing out the lower portion of the circle and that is not the region that we are after.\n\nSo, here are the ranges that will define the region.\n$$\n\\begin{gathered}\n-\\frac{\\pi}{6} \\leq \\theta \\leq \\frac{7 \\pi}{6} \\\\\n2 \\leq r \\leq 3+2 \\sin \\theta\n\\end{gathered}\n$$\n\nTo get the ranges for $r$ the function that is closest to the origin is the lower bound and the function that is farthest from the origin is the upper bound.\n\nThe area of the region $D$ is then,\n$$\n\\begin{aligned}\nA & =\\iint_D d A \\\\\n& =\\int_{-\\pi / 6}^{7 \\pi / 6} \\int_2^{3+2 \\sin \\theta} r d r d \\theta \\\\\n& =\\left.\\int_{-\\pi / 6}^{7 \\pi / 6} \\frac{1}{2} r^2\\right|_2 ^{3+2 \\sin \\theta} d \\theta \\\\\n& =\\int_{-\\pi / 6}^{7 \\pi / 6} \\frac{5}{2}+6 \\sin \\theta+2 \\sin ^2 \\theta d \\theta \\\\\n& =\\int_{-\\pi / 6}^{7 \\pi / 6} \\frac{7}{2}+6 \\sin \\theta-\\cos (2 \\theta) d \\theta \\\\\n& =\\left.\\left(\\frac{7}{2} \\theta-6 \\cos \\theta-\\frac{1}{2} \\sin (2 \\theta)\\right)\\right|_{-\\frac{\\pi}{6}} ^{\\frac{7 \\pi}{6}} \\\\\n& =\\frac{11 \\sqrt{3}}{2}+\\frac{14 \\pi}{3}=24.187\n\\end{aligned}\n$$ So the answer is 24.187\nThe answer is 24.187"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086222.png | 086222 |
031844 | [
{
"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 the function at x = 3?\nChoices:\nA. 1\nB. 3\nC. 5\nD. -1\nE. 0"
},
{
"from": "gpt",
"value": "To find the value of the function at x = 3, locate the point on the graph where the x-coordinate is 3. Following the point vertically, we find it intersects the graph at the y-coordinate of -1. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/031844.png | 031844 |
003191 | [
{
"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 theorem used to solve for $x$.\nChoices:\nA. Linear pair axiom\nB. Angles on a straight line\nC. Vertically opposite angles\nD. Angles in the same segment are equal"
},
{
"from": "gpt",
"value": "The given diagram and geometrical configuration reveals that $x$ and another angle are both subtended from the same arc, indicating the need to use the rule where angles in the same segment are equal, hence calculating $x = 54$. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/003191.png | 003191 |
059073 | [
{
"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": "The examined solid structure from the image shows it is a three-dimensional figure with a distinguishable number of faces including top, bottom, and side faces which are visible and can be counted manually. So the answer is six faces\nThe answer is six faces"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059073.png | 059073 |
082280 | [
{
"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: Where was the temperature the highest during the days listed?\nChoices:\nA. Humbleton\nB. Dunkilderry\nC. Ogdenville\nD. Brockway"
},
{
"from": "gpt",
"value": "The highest temperatures are listed in the column titled \"Record High\". What is the largest number in this column? The location where this temperature occurred is listed in the cell directly to its left.\n\nThe highest temperature was $24^{\\circ} \\mathrm{C}$.\nAt which location was the temperature $24^{\\circ} \\mathrm{C}$ ? The answer is Humbleton. So the answer is A\nAnswer: Humbleton"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082280.png | 082280 |
033146 | [
{
"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, through which other point does line $q$ go?\nChoices:\nA. $(3, 0)$\nB. $(0, 4)$\nC. $(0, -4)$\nD. $(4, 3)$"
},
{
"from": "gpt",
"value": "To determine another point that line $q$ goes through, analysis of the slope and any given point on the line, such as $(0, -4)$, is necessary. Using the slope, calculate a possible second point by moving along the graph using the derived slope, leading us to another point like $(3, 0)$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033146.png | 033146 |
055242 | [
{
"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 length of side BC?"
},
{
"from": "gpt",
"value": "As per the image details, BC can be calculated by summing the lengths of BE and EC. Given BE=4 and EC=5 from the analysis, the total length becomes BC=BE+EC. So the answer is 9\nThe answer is 9"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055242.png | 055242 |
007519 | [
{
"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 of Figure B?\nChoices:\nA. Square\nB. Rectangle\nC. Circle\nD. Triangle"
},
{
"from": "gpt",
"value": "Figure B is a rectangle. This can be determined from the properties of the shape and dimensions in the image. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/007519.png | 007519 |
005564 | [
{
"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 operation is performed between the radius and angle to calculate arc length?\nChoices:\nA. Exponentiation\nB. Multiplication\nC. Division\nD. Addition"
},
{
"from": "gpt",
"value": "The operation performed to calculate the arc length from the radius and the angle in radians, as depicted in the image, is multiplication. This is in accordance with the formula l = r \\times \\theta. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/005564.png | 005564 |
075723 | [
{
"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 restricting the graph to values where $x < -2$ allow it to have an inverse function?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Restricting the graph to $x < -2$ would mean a horizontal line will cut it only once, meeting the criteria for an inverse function. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075723.png | 075723 |
030254 | [
{
"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 zeros does the function f(x) have?\nChoices:\nA. 1\nB. 2\nC. 3\nD. 4"
},
{
"from": "gpt",
"value": "The number of zeros of function f(x) corresponds to the number of times the graph intersects the x-axis. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/030254.png | 030254 |
011695 | [
{
"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 length of the apothem (the line from the center to the midpoint of one side) of the hexagon is a, what is the radius of the circle?\nChoices:\nA. a/2\nB. a\nC. 2a\nD. It cannot be determined from the given information"
},
{
"from": "gpt",
"value": "In a regular hexagon, the apothem is equal to the radius of the circumscribed circle. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/011695.png | 011695 |
062031 | [
{
"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 center of the circle lie in?"
},
{
"from": "gpt",
"value": "By analysing the image, the circle lies in an axis grid, and its center falls within a particular quadrant. So the answer is Fill the blank with the quadrant number.\nThe answer is Fill the blank with the quadrant number."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062031.png | 062031 |
047350 | [
{
"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 right angles are present around the point where the donkey is tethered?\nChoices:\nA. One\nB. Two\nC. Three\nD. Four"
},
{
"from": "gpt",
"value": "There are four right angles around the point, as generally occurs at any point where perpendicular lines meet, but only three contribute to the grazing area. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/047350.png | 047350 |
003596 | [
{
"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 angle y equal x in this particular cyclic quadrilateral?\nChoices:\nA. True\nB. False"
},
{
"from": "gpt",
"value": "Evaluate the angle measurements using cyclic quadrilateral rules (opposite angles are supplementary), thus proving their equality. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/003596.png | 003596 |
007811 | [
{
"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 diameter of the circle related to its radius?\nChoices:\nA. Diameter is twice the radius\nB. Diameter is half of the radius\nC. Diameter is equal to the radius\nD. No relation"
},
{
"from": "gpt",
"value": "The diameter of a circle is always twice the length of the radius. This relationship is fundamental in circle geometry and is visually evident in the depiction within the image. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/007811.png | 007811 |
084429 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: In the figure, $A B C D$ and $P Q R S$ are two rectangles inscribed in the circle as shown and $A B=4, A D=$ 3 , and $Q R=4$. What is the value of $l$ ?\nChoices:\nA. $3 / 2$\nB. $8 / 3$\nC. 3\nD. 4\nE. 5"
},
{
"from": "gpt",
"value": "$P Q R S$ is a rectangle inscribed in the circle. Hence, diagonal $P R$ must pass through the center of the circle. So, $P R$ is a diameter of the circle.\n\nSimilarly, $B D$ is a diagonal of rectangle $A B C D$, which is also inscribed in the same circle. Hence, the two diagonals must be diameters and equal. So, we have $P R=B D$.\n\nNow, in the figure.Applying The Pythagorean Theorem to the right triangle $A B D$ yields $B D^2=A B^2+A D^2=4^2+3^2=16+9=$ 25. By square rooting, we get $B D=\\sqrt{25}=5$. Hence, $P R$ also equals 5 . Since, from the figure, $l$ equals $P R$, $l$ equals 5 . The answer is 5. So the answer is E\nAnswer: 5"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084429.png | 084429 |
008501 | [
{
"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 formula used to calculate the area of a circle/semincircle?\nChoices:\nA. π*diameter^2\nB. π*radius^2\nC. 2π*radius\nD. circumference/2π\nE. None of the above"
},
{
"from": "gpt",
"value": "Solving the provided problem involves the calculation of the area of a circle (in this case, a semicircle), which requires the formula pi times the radius squared. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/008501.png | 008501 |
065326 | [
{
"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 percentage increase in software problems solved by Eigen's Software Company from 1999 to 2002."
},
{
"from": "gpt",
"value": "Using the totals for 1999 and 2002, calculate the percentage increase: (Problems in 2002 - Problems in 1999) / Problems in 1999 * 100, as shown in the image. So the answer is 20.83%\nThe answer is 20.83%"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065326.png | 065326 |
043205 | [
{
"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 probability that the spinner lands on an even number?\nChoices:\nA. \\frac{1}{4}\nB. \\frac{1}{2}\nC. \\frac{3}{4}\nD. 1"
},
{
"from": "gpt",
"value": "Half of the numbers on the spinner are even. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/043205.png | 043205 |
086453 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: If the total number of software problems solved is a direct measure of the company's capability, then by approximately what percent did capability increase from 1999 to 2002 ?\nChoices:\nA. $10 \\%$\nB. $20 \\%$\nC. $30 \\%$\nD. $40 \\%$\nE. $50 \\%$"
},
{
"from": "gpt",
"value": "In 1999, the total number of software problems solved by Eigen's Software Company is Bugs + Security holes + Backdoors $=1000+4500+1700=7200$.\n\nIn 2002, the total number of software problems solved by Eigen's Software Company is Bugs + Security holes + Backdoors $=1300+5600+1800=8700$.\n\nHence, the percent increase in the number in the period is $\\frac{8700-7200}{7200} \\times 100=20.88 \\%$. The nearest answer is $20 \\%$. So the answer is B\nAnswer: $20 \\%$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086453.png | 086453 |
008566 | [
{
"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 radius of the sector contribute to the perimeter of the sector?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The perimeter of the sector includes the sum of the two radii and the length of the arc, and the radius is explicitly mentioned in the formula for calculating the perimeter. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/008566.png | 008566 |
079101 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Using the diagram, is -1 both a rational number and an integer?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The diagram shows that -1 falls under the category of integers, which is also part of the rational numbers set. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079101.png | 079101 |
057041 | [
{
"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 base length of the triangle?"
},
{
"from": "gpt",
"value": "The base of the triangle shown in the image is marked as $b$ and has a numerical value of 6 miles. So the answer is 6 miles\nThe answer is 6 miles"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057041.png | 057041 |
058950 | [
{
"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 height of the prism."
},
{
"from": "gpt",
"value": "To find the height of the prism, we need to know the volume and the area of the base.\n$$V = A \\times h$$\nGiven the volume $V = 330 \\, \\text{cm}^3$ and the base area $A = 30 \\, \\text{cm}^2$, solve for height $h$:\n$$330 = 30 \\times h$$\n$$h = \\frac{330}{30}$$\n$$h = 11 \\, \\text{cm}$$ So the answer is 11 cm\nThe answer is 11 cm"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/058950.png | 058950 |
061086 | [
{
"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 number of horizontal units between Point $A(0,4)$ and Point $B(1,0)$."
},
{
"from": "gpt",
"value": "The number of horizontal units, or the run, between two points is the absolute difference in their $x$-coordinates. For Points $A(0,4)$ and $B(1,0)$:\n$$ = |1 - 0| = 1 $$ So the answer is 1\nThe answer is 1"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061086.png | 061086 |
028866 | [
{
"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 the function $f$ symmetrical about any axis?\nChoices:\nA. Yes, x-axis\nB. Yes, y-axis\nC. No symmetry\nD. Yes, origin"
},
{
"from": "gpt",
"value": "Symmetry in function graphs can generally be about the y-axis, the origin, or x-axis. It can be verified by observing the graph's behavior in relation to these axes. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028866.png | 028866 |
077654 | [
{
"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 full-time worker in Oregon (40 hours) earn less than $80 more than their counterpart in Idaho?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The calculation of additional earnings would be $74 for a 40-hour week at the rate difference of $1.85 per hour, which is clearly less than $80. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/077654.png | 077654 |
035173 | [
{
"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, for how many holes did Ivan score exactly as expected (score of 0)?\nChoices:\nA. Twice\nB. Thrice\nC. Four times\nD. Five times"
},
{
"from": "gpt",
"value": "Refer to the score table in the image and find out the frequency of the score exactly 0. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/035173.png | 035173 |
074199 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: If the base area of a rectangular solid is 169 cm² and the height is 10 cm, does it have a volume of 1690 cm³?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Volume of a rectangular solid can be found by multiplying the base area by the height. Here, 169 cm² × 10 cm = 1690 cm³. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074199.png | 074199 |
037620 | [
{
"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 sections of the graph should represent the solution to the inequalities according to the conditions given?\nChoices:\nA. Section A and Section B\nB. Section B and Section C\nC. Section B\nD. Section D"
},
{
"from": "gpt",
"value": "Through the examination of whether distinct sections meet the combined conditions of the inequalities, the correct sections can be deduced. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/037620.png | 037620 |
056562 | [
{
"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 angle Y in triangle WXY?"
},
{
"from": "gpt",
"value": "Using the given image which shows WX congruent to XY, angle Y is congruent to angle W as opposite angles. With the total internal angles of a triangle summing up to 180 degrees and angle X = 76 degrees, the measure of angle Y can be determined. So the answer is 52 degrees\nThe answer is 52 degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056562.png | 056562 |
038772 | [
{
"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 team had the least improvement?\nChoices:\nA. Team I\nB. Team J\nC. Team K\nD. Team L"
},
{
"from": "gpt",
"value": "Based on information that signals specific improvements by each team, identifying the least improvement involves comparative analysis. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038772.png | 038772 |
084504 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: In the figure, $AOB$ is a straight line. What is the average of the four numbers a, b, c, d ?\nChoices:\nA. 45\nB. 360/7\nC. 60\nD. 90\nE. 120"
},
{
"from": "gpt",
"value": "In the figure, $AOB$ is a straight line, and a straight angle measures 180°. Hence, the sum of the angles $a$, $b$, $c$, and $d$ is 180, and the average of the four is their sum divided by 4: 180/4 = 45. The answer is 45. So the answer is A\nAnswer: 45"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084504.png | 084504 |
069246 | [
{
"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 sections are there in total in the shape?"
},
{
"from": "gpt",
"value": "The image shows that the shape is divided into 100 sections. Counting all sections—both green and others— confirms that there are 100 sections in total. So the answer is 100 sections\nThe answer is 100 sections"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/069246.png | 069246 |
073263 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Given angles of 32 degrees and 110 degrees in a triangle, will computing z yield a result of exactly 38 degrees?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "By the angle sum property for triangles, adding 32 degrees to 110 degrees equals 142 degrees. With a total of 180 degrees for all angles, subtracting 142 degrees yields z as 38 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073263.png | 073263 |
028167 | [
{
"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 figure is represented by the graph of \\sqrt{36-x^2}?\nChoices:\nA. Circle\nB. Semicircle\nC. Parabola\nD. Ellipse"
},
{
"from": "gpt",
"value": "The graph represented by \\sqrt{36-x^2} depicts a curve. Considering that it has an integral from x = -6 to x = 6 with a square root function including a squared x term and a constant, this formulates the equation of a semicircle centered along the y-axis and spanning from -6 to 6 on the x-axis. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028167.png | 028167 |
007270 | [
{
"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 happens to the area if the diameter of the smaller circle is halved?\nChoices:\nA. Reduces to one quarter\nB. Reduces to half\nC. Remain unchanged\nD. Doubles"
},
{
"from": "gpt",
"value": "Area is proportional to square of diameter, hence if diameter is halved, area is quartered. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/007270.png | 007270 |
056898 | [
{
"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 sides does the hexagon have?"
},
{
"from": "gpt",
"value": "The image displays a hexagon, which by definition is a six-sided polygon, indicating that it has 6 sides. So the answer is 6 sides\nThe answer is 6 sides"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056898.png | 056898 |
079210 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: If the left end of the twig is lined up with the 0 inch mark and the other end reaches past the 1 inch mark, but not to 2 inch mark, is the twig about 2 inches long?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since the twig does not reach the 2 inch mark, but falls short somewhere between 1 and 2 inches, it cannot be considered as being about 2 inches long. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079210.png | 079210 |
055528 | [
{
"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 angle $a$ is 130 degrees, what is the measure of angle $c$?"
},
{
"from": "gpt",
"value": "Since angle $c$ is vertically opposite to angle $a$ which is given as 130 degrees in the image, they are equal due to the property of vertical angles. So the answer is Angle $c$ has the same degree measure as angle $a$, which is 130 degrees.\nThe answer is Angle $c$ has the same degree measure as angle $a$, which is 130 degrees."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055528.png | 055528 |
071420 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: If the left vertical side is 12 m and the sum of the two shorter right sides is also 12 m, is x=0 m?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The analysis method indicates that x is calculated by subtracting the lengths of the two shorter vertical sides on the right from the left vertical side. If their sum is also 12 m, then x=12-12=0 m, thus x would be 0 m. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/071420.png | 071420 |
077558 | [
{
"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 given table of test scores for Class A and Class B, does the median test score for Class B fall into the 81-90 range?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "There are a total of $11+17+16+$ $6=50$ students in Class B, so the median value will be the average of the 25 th and 26 th scores. There are 11 students who scored 91 or above and 17 who scored 81-90. Thus, the 12th through 29th highest scores fall in the 81-90 range. This includes the 25th and 26th highest scores, so (81–90) is correct. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/077558.png | 077558 |
007874 | [
{
"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 correct operation to find the sector's area from the angle and radius given?\nChoices:\nA. Multiply and divide\nB. Add and subtract\nC. Divide only\nD. Multiply only"
},
{
"from": "gpt",
"value": "The correct operation involves multiplying the square of the radius by \\( \\pi \\) and the fraction of the angle over 360 to find the sector's area, thus 'Multiply and divide'. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/007874.png | 007874 |
085417 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: The graph shows a train’s distance from the central station throughout the day.At what time did the train stop to change drivers?\nChoices:\nA. 1 pm\nB. 2 pm\nC. 10 am"
},
{
"from": "gpt",
"value": "When the train is stopped the distance from the station does not change.\\n 1 pm So the answer is A\nAnswer: 1 pm"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085417.png | 085417 |
008056 | [
{
"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 integral to exactly describe the shape being calculated for area?\nChoices:\nA. Square\nB. Rectangle\nC. Sector of a circle\nD. Triangle"
},
{
"from": "gpt",
"value": "From the analysis, the area calculated is specifically a sector of a circle. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/008056.png | 008056 |
024589 | [
{
"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 line y=mx+c passes through the shaded region without intersecting the boundaries, what could be the range of values for m?\nChoices:\nA. m<1 and m>-1\nB. m=1\nC. m>1 or m<-1\nD. none"
},
{
"from": "gpt",
"value": "Assess the slope configurations of any line that could conform to the shape and boundaries of the shaded region, especially considering the relationship and non-intersect rule with the standard lines $y=x$, $y=-x$. Determine if such a line could maintain a specific range of slope values. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/024589.png | 024589 |
082209 | [
{
"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: Evaluate $\\iint_D \\frac{1}{y^{\\frac{1}{3}}\\left(x^3+1\\right)} d A$ where $D$ is the region bounded by the $x$-axis."
},
{
"from": "gpt",
"value": "Now, with this problem, the region will allow either order of integration without any real change of difficulty in the integration.\nSo, here are the limits for each order of integration that we could use.\n$$\n\\begin{array}{crrr}\n0 \\leq x \\leq 3 \\\\\n-x^3 \\leq y \\leq 0 & \\text { OR } & -27 & \\leq y \\leq 0 \\\\\n& & -y^{\\frac{1}{3}} & \\leq x \\leq 3\n\\end{array}\n$$\n\nAs noted above either order could be done without much real change in difficulty. However, it looks like the limits are a little nicer if we integrate with respect to $y$ first. One of the $y$ limits is zero and the $x$ limits are smaller so it looks like this might be a little easier to deal with.\n\nSo, for this problem let's integrate with respect to $y$ first. Here is the integral set up for $y$ integration first.\n$$\n\\iint_D \\frac{1}{y^{\\frac{1}{3}}\\left(x^3+1\\right)} d A=\\int_0^3 \\int_{-x^3}^0 \\frac{1}{y^{\\frac{1}{3}}\\left(x^3+1\\right)} d y d x\n$$\n\nHere is the $y$ integration.\n$$\n\\begin{aligned}\n\\iint_D \\frac{1}{y^{\\frac{1}{3}}\\left(x^3+1\\right)} d A & =\\int_0^3 \\int_{-x^3}^0 \\frac{1}{y^{\\frac{1}{3}}\\left(x^3+1\\right)} d y d x \\\\\n& =\\left.\\int_0^3\\left(\\frac{\\frac{3}{2} y^{\\frac{2}{3}}}{\\left(x^3+1\\right)}\\right)\\right|_{-x^3} ^0 d x \\\\\n& =\\int_0^3-\\frac{\\frac{3}{2}\\left(-x^3\\right)^{\\frac{2}{3}}}{\\left(x^3+1\\right)} d x=\\int_0^3-\\frac{\\frac{3}{2} x^2}{\\left(x^3+1\\right)} d x\n\\end{aligned}\n$$\n\nNow the $x$ integration is a simple Calculus I substitution. We'll leave the substitution work to you to verify. Here is the $x$ integration.\n$$\n\\iint_D \\frac{1}{y^{\\frac{1}{3}}\\left(x^3+1\\right)} d A=\\int_0^3-\\frac{\\frac{3}{2} x^2}{\\left(x^3+1\\right)} d x=\\left.\\left(-\\frac{1}{2} \\ln \\left(x^3+1\\right)\\right)\\right|_0 ^3=-\\frac{1}{2} \\ln (28)=-1.6661\n$$ So the answer is 1.6661\nThe answer is 1.6661"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082209.png | 082209 |
085528 | [
{
"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: Below is the graph of a trigonometric function. It has a minimum point at $\\left(-\\frac{1}{2} \\pi, 2.4\\right)$ and a maximum point at $\\left(\\frac{3}{2} \\pi, 13\\right)$.\n\nWhat is the midline equation of the function? Give an exact expression.\n$$\ny=\n$$"
},
{
"from": "gpt",
"value": "Defining midline\n\nThe midline of a sinusoidal function passes exactly in the middle of its extreme values. So we can find the midline by finding the average of the maximum and minimum values.\n$$\n\\text { midline }=\\frac{\\max \\text { value }+\\min \\text { value }}{2}\n$$\n\nSince the amplitude of a sinusoid is equal to the vertical distance from its midline to one of its extrema, we can also calculate the midline using one of the following formulas.\nmidline $=$ max value - amplitude\nmidline $=$ min value + amplitude\n\nThinking about the problem\nWe are given the minimum and maximum values of the function. Therefore, we should use the first formula in order to find the midline.\n\nCalculating the midline\nAccording to the graph, the maximum value of the function is 13 , and its minimum value is 2.4 .\n$$\n\\begin{aligned}\n\\text { midline } & =\\frac{\\max \\text { value }+\\min \\text { value }}{2} \\\\\n& =\\frac{13+2.4}{2} \\\\\n& =\\frac{15.4}{2} \\\\\n& =7.7\n\\end{aligned}\n$$ \\n 7.7 So the answer is 7.7\nThe answer is 7.7"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085528.png | 085528 |
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