id
stringlengths
6
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022125
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, which mathematical operation is primarily used to calculate the volume?\nChoices:\nA. Addition\nB. Subtraction\nC. Multiplication\nD. Division" }, { "from": "gpt", "value": "The operational process involves multiplicatively correlating the base area with the height for volume determination, which is extracted from the visual description. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/022125.png
022125
058968
[ { "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 slant height of the pyramid?" }, { "from": "gpt", "value": "The slant height value can be derived if the pyramid’s height and half the base length are known, constructing a right triangle with the slant height as its hypotenuse. So the answer is Slant height = sqrt(Height^2 + (base length/2)^2)\nThe answer is Slant height = sqrt(Height^2 + (base length/2)^2)" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/058968.png
058968
017136
[ { "from": "human", "value": "<image>\nAccording to 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 property of the line y = -2x - 7?\nChoices:\nA. Horizontal line\nB. Vertical line\nC. Sloped line\nD. Parabolic curve" }, { "from": "gpt", "value": "The equation y = -2x - 7, derived during the calculation of the median, represents a sloped line as indicated by its linear form with a slope of -2 So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/017136.png
017136
000535
[ { "from": "human", "value": "<image>\nAccording to 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 sin(∠BAC)?\nChoices:\nA. 0\nB. 1/2\nC. 1/sqrt(2)\nD. 1" }, { "from": "gpt", "value": "Given that ∠BAC is a right angle, the sine of a 90-degree angle is 1. So the answer is D\nAnswer: D" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/000535.png
000535
029374
[ { "from": "human", "value": "<image>\nAccording to 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 function have a positive leading coefficient?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "If the ends of the curve are up on both sides, the leading coefficient of the cubic function is positive. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/029374.png
029374
042813
[ { "from": "human", "value": "<image>\nAccording to 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 can one verify that the sequence is geometric?\nChoices:\nA. By finding a common difference\nB. By finding a common ratio\nC. By summing successive terms\nD. By plotting on a logarithmic scale" }, { "from": "gpt", "value": "Verification of a geometric sequence involves demonstrating that the ratio between successive terms is constant, which can be observed from the plotted points. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/042813.png
042813
008038
[ { "from": "human", "value": "<image>\nAccording to 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 matematical operation is primarily used to calculate the sector's perimeter?\nChoices:\nA. Addition and Multiplication\nB. Subtraction and Division\nC. Integration\nD. Differentiation" }, { "from": "gpt", "value": "Analyzing the formula and steps to calculate the perimeter, the primary operations include addition (for adding the radii) and multiplication (especially in the arc length part). So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/008038.png
008038
047283
[ { "from": "human", "value": "<image>\nAccording to 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 gate sees more spectators per minute after x minutes?\nChoices:\nA. North Gate\nB. South Gate\nC. Equal" }, { "from": "gpt", "value": "North contributes 5x^2 and South contributes 9x^2 per minute. Clearly, the south gate has more spectators. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/047283.png
047283
079359
[ { "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: Write an expression for $T$, where $T$ is the area of $\triangle O B D$." }, { "from": "gpt", "value": "What is the formula for a triangle given two sides and an included angle? Use this formula to find an expression for the area of the given triangle.\n\nThe area of a triangle is $\\frac{1}{2} x y \\sin \\alpha$ where $x$ and $y$ are two side lengths and $\\alpha$ is their included angle.\n\n$T=\\frac{1}{2} b d \\sin \\theta$ So the answer is $T=\\frac{1}{2} b d \\sin \\theta$\nThe answer is $T=\\frac{1}{2} b d \\sin \\theta$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/079359.png
079359
022980
[ { "from": "human", "value": "<image>\nAccording to 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 pyramid regular or irregular?\nChoices:\nA. Regular\nB. Irregular" }, { "from": "gpt", "value": "Evaluate the uniformity of faces and symmetry in the pyramid shown. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/022980.png
022980
070088
[ { "from": "human", "value": "<image>\nAccording to 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 ° ODE equal 90 degrees?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Angle ODE is 90 degrees because a tangent to a circle is perpendicular to the radius at the point of contact. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/070088.png
070088
082571
[ { "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: How many kilograms of salmon did the fisherman catch?" }, { "from": "gpt", "value": "Find the fraction of the fish, by weight, that was salmon.\n$\\frac{2}{7}$ of the fish was salmon.\n\nFind $\\frac{2}{7}$ of 91 . Divide 91 by 7 , then multiply by 2 .\n$$\n(91 \\div 7) \\times 2=26\n$$\n\nThe fisherman caught 26 kilograms of salmon. So the answer is 26\nThe answer is 26" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/082571.png
082571
083839
[ { "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 sector below has an area of 3.4 (cm)^2 and a radius of 2 cm.\n\nFind the value of \\theta in radians." }, { "from": "gpt", "value": "The area $A$ of a sector is $A=\\frac{1}{2} r^{2} \\theta$ where $r$ is the radius of the circle and $\\theta$ is the angle at the centre in radians.\n\nConstruct an equation which can be solved for $\\theta$.\n\nWe are told that $A=3.4 \\mathrm{~cm}^{2}$ and $r=2 \\mathrm{~cm}$.\n\nSubstitute these values into the formula, and then solve for $\\theta$.\n\n$3.4=\\frac{1}{2} \\times 2^{2} \\times \\theta$\n\nSimplify the coefficient of $\\theta$.\n\n$3.4=2 \\theta$\n\nSolve for $\\theta$ by dividing both sides by the coefficient of $\\theta$.\n\n$\\theta=1.7$ So the answer is $\\theta=1.7$\nThe answer is $\\theta=1.7$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/083839.png
083839
014480
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, if one angle is 30 degrees and another is 60 degrees, what is the third angle?\nChoices:\nA. 30 degrees\nB. 60 degrees\nC. 90 degrees\nD. None of these." }, { "from": "gpt", "value": "Using the Triangle Angle Sum Property, the total sum of angles in a triangle is 180 degrees. Therefore, if two angles are 30 and 60 degrees, the third angle is 180 - (30+60) = 90 degrees. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/014480.png
014480
049160
[ { "from": "human", "value": "<image>\nAccording to 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 geometric shape that describes the inner profile of the tunnel?\nChoices:\nA. Triangle\nB. Hexagon\nC. Ellipse\nD. Pentagon" }, { "from": "gpt", "value": "The tunnel has an inner profile in the shape of half an ellipse. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/049160.png
049160
027369
[ { "from": "human", "value": "<image>\nAccording to 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 dimensions would be appropriate if the box length and width increased by 5 cm each?\nChoices:\nA. 20.5 cm and 12.5 cm\nB. 22.5 cm and 12.5 cm\nC. 22.5 cm and 10 cm\nD. 25 cm and 15 cm" }, { "from": "gpt", "value": "The increase in dimensions would add to each axis of the ellipse, effectively increasing by half the increment added to the rectangle's dimensions. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/027369.png
027369
057939
[ { "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 diagonal length of the square base of the pyramid, given the side length." }, { "from": "gpt", "value": "If we observe a square where each side is 8 cm, the diagonal splits the square into two right-angled triangles. Using the triangle, which has sides 8 cm each and the diagonal as the hypotenuse, we can apply the Pythagorean theorem. \n\nLet d be the diagonal length: \nd^2 = 8^2 + 8^2\nd^2 = 64 + 64\nd^2 = 128\nd = sqrt(128)\nd = 11.31 cm So the answer is 11.31 cm\nThe answer is 11.31 cm" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/057939.png
057939
047360
[ { "from": "human", "value": "<image>\nAccording to 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 the black icing on the side surface when unfolded?\nChoices:\nA. triangle\nB. rectangle\nC. sector\nD. circle" }, { "from": "gpt", "value": "The side icing, when the curved surface is flattened, forms a rectangular shape. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/047360.png
047360
060606
[ { "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 polynomial $p$ behave near the zero $x=3$?" }, { "from": "gpt", "value": "From the image, it can be observed that the graph of the polynomial $p$ touches the x-axis at $x=3$ but does not cross it, implying that the zero at $x=3$ has an even multiplicity. So the answer is Near the zero $x=3$, the polynomial touches the x-axis and does not cross it, indicating it has an even multiplicity.\nThe answer is Near the zero $x=3$, the polynomial touches the x-axis and does not cross it, indicating it has an even multiplicity." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/060606.png
060606
031627
[ { "from": "human", "value": "<image>\nAccording to 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 fraction of the triangle's perimeter is side a?\nChoices:\nA. 1/2\nB. 1/3\nC. 1/4\nD. Cannot be determined" }, { "from": "gpt", "value": "Without specific lengths, the fraction of the perimeter that side a represents cannot be determined. So the answer is D\nAnswer: D" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/031627.png
031627
038268
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what can be inferred about the company's response to security holes from 1999 to 2002?\nChoices:\nA. Improved response\nB. Deteriorated response\nC. No change in response" }, { "from": "gpt", "value": "Observing the count increase in solved security holes from 1999 to 2002 reflects an improved response by the company. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/038268.png
038268
036051
[ { "from": "human", "value": "<image>\nAccording to 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 difference in cost between two adult tickets and one family ticket?\nChoices:\nA. $26.50\nB. $31\nC. $23\nD. $21.75" }, { "from": "gpt", "value": "Subtract the cost of two adult tickets from the family ticket price using the information provided in the image. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/036051.png
036051
005107
[ { "from": "human", "value": "<image>\nAccording to 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 tool or function would be most helpful in calculating the ship’s y-coordinate?\nChoices:\nA. Protractor\nB. Ruler\nC. Scientific Calculator\nD. Compass" }, { "from": "gpt", "value": "A scientific calculator would be most helpful for calculating the cosine of the angle and then multiplying it by the hypotenuse to find the ship's y-coordinate. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/005107.png
005107
067885
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, determine if the cylinder structure has a floor or not." }, { "from": "gpt", "value": "From observing the physical layout of the structure, it can be noted that the cylinder in the image does not have a floor. So the answer is The cylinder does not have a floor.\nThe answer is The cylinder does not have a floor." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/067885.png
067885
079541
[ { "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: Write down the ratio represented by $\\tan \\theta $." }, { "from": "gpt", "value": "Consider the mnemonic SOH-CAH-TOA.\n\nRemember that $\\tan \\theta=\\frac{\\text { Opposite }}{\\text { Adjacent }}$\n\nWhich side is opposite angle $\\theta$ ? Which side is adjacent?\n\n$\\tan \\theta=\\frac{A C}{B C}$ So the answer is $\\tan \\theta=\\frac{A C}{B C}$\nThe answer is $\\tan \\theta=\\frac{A C}{B C}$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/079541.png
079541
065121
[ { "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 future trend of the percent of cars for sale from the latest model year shown. What can be expected?" }, { "from": "gpt", "value": "Predicting the future trend requires analyzing the existing trend of the line graph towards the end, and considering whether the line is rising, falling, or leveling off. So the answer is Expected future trend based on the line graph continuation.\nThe answer is Expected future trend based on the line graph continuation." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/065121.png
065121
079173
[ { "from": "human", "value": "<image>\nAccording to 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 we remove one $x^2$ tile from the set, does it still represent the expression $8x^2 + 8x + 21$?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Removing one $x^2$ tile from the set reduces the number of $x^2$ tiles from 9 to 8, which corresponds with the expression $8x^2 + 8x + 21$. The number of $x$ and unit tiles remain unchanged. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/079173.png
079173
086577
[ { "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: Each year, the campers at Kamal's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible.\nWhat was the record time in 2022?" }, { "from": "gpt", "value": "Find 2022 on the graph. Look for the dot above 2022.\nIn 2022, the record time was 25 minutes. So the answer is 25\nThe answer is 25" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/086577.png
086577
013585
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, can the areas of two parallelograms inside a rectangle help to find the total area of the rectangle?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "With the given areas of the two parallelograms inside the rectangle, we can add these two areas to find out the total area of the rectangle. If the sum equals to past given area, then the answer is Yes. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/013585.png
013585
081790
[ { "from": "human", "value": "<image>\nAccording to 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 graphed function have an even or odd power?\nChoices:\nA. Odd\nB. Even" }, { "from": "gpt", "value": "The graphed function is a linear function whose equation is of the form $y=m x+b$. Notice that the greatest power of $x$ is 1 . This means that as $x$ approaches positive and negative infinity, the $y$ values will increase in one direction and decrease in the other direction of the curve.\n\nOdd So the answer is A\nAnswer: Odd" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/081790.png
081790
033114
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, when did George reach his maximum distance from home?\nChoices:\nA. Within the first 30 minutes\nB. During the second hour\nC. At the beginning of the fourth hour\nD. At the end of the period" }, { "from": "gpt", "value": "To find when George reached his maximum distance, identify the highest point on the graph which represents the greatest distance from home. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/033114.png
033114
008713
[ { "from": "human", "value": "<image>\nAccording to 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 long is the line segment labeled $z$?\nChoices:\nA. 9 m\nB. 10 m\nC. 11 m\nD. 12 m" }, { "from": "gpt", "value": "Line segment $z$ can be seen as the base of the triangle, extending 11 m. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/008713.png
008713
003650
[ { "from": "human", "value": "<image>\nAccording to 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 angles are congruent due to the property of vertically opposite angles?\nChoices:\nA. \\angle BOA and \\angle EOD\nB. \\angle BAO and \\angle ODE\nC. \\angle ABO and \\angle DEO" }, { "from": "gpt", "value": "Vertically opposite angles occur when two lines cross each other. The angles directly across (opposite) from each other at the intersection point are equal. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/003650.png
003650
030690
[ { "from": "human", "value": "<image>\nAccording to 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 graph has a greater y-intercept?\nChoices:\nA. The linear function\nB. The exponential function\nC. Both have the same" }, { "from": "gpt", "value": "Evalute both graphs where they cross the y-axis to determine the greater initial value. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/030690.png
030690
020787
[ { "from": "human", "value": "<image>\nAccording to 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 can we rewrite the expression '(x+3)^2' in an expanded form?\nChoices:\nA. x^2+6x+9\nB. x^2+3x+3x+9\nC. Both of these\nD. None of these" }, { "from": "gpt", "value": "In expanded form, we can rewrite the expression '(x+3)^2' as 'x^2+6x+9'. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/020787.png
020787
085550
[ { "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: $h$ is a trigonometric function of the form $h(x)=a \\cos (b x+c)+d$.\nBelow is the graph of $h(x)$. The function has a maximum point at $(-2 \\pi, 3)$ and a minimum point at $\\left(-\\frac{\\pi}{2},-4\\right)$.\n\nFind a formula for $h(x)$. Give an exact expression.\n$$\nh(x)=\n$$" }, { "from": "gpt", "value": "We know the function is a result of translations and stretches applied on the basic function $\\cos (x)$, because $h(x)$ is of the form $a \\cos (b x+c)+d$\nThe basic function $\\cos (x)$ has a maximum point at $(0,1)$, its period is $2 \\pi$ units, and its amplitude is 1 unit.\n\nLet's transform the graph of $\\cos (x)$ into the graph of $h(x)$ step by step and see how the formula changes along the way.\n$h$ 's period is equal to twice the horizontal distance between the highlighted points, which is $2 \\cdot \\frac{3 \\pi}{2}=3 \\pi$ units. In order to horizontally stretch the period of $\\cos (x)$ to $3 \\pi$ units, we need to multiply $x$ by $\\frac{2 \\pi}{3 \\pi}=\\frac{2}{3}$ to obtain $\\cos \\left(\\frac{2}{3} x\\right)$.\n$h$ 's amplitude is equal to half the vertical distance between the highlighted points, which is $\\frac{7}{2}=3.5$ units. In order to vertically stretch the amplitude of $\\cos \\left(\\frac{2}{3} x\\right)$ to 3.5 units, we need to multiply it by 3.5 to obtain $3.5 \\cos \\left(\\frac{2}{3} x\\right)$.\n\nNow let's use a translation to bring the maximum point from $(0,3.5)$ to the location given by the graph, $(-2 \\pi, 3)$.\nThis calls for a translation by $2 \\pi$ units to the left and 0.5 units down, so $3.5 \\cos \\left(\\frac{2}{3} x\\right)$ is transformed into\n$3.5 \\cos \\left(\\frac{2}{3}(x+2 \\pi)\\right)-0.5=3.5 \\cos \\left(\\frac{2}{3} x+\\frac{4 \\pi}{3}\\right)-0.5$. \\n 3.5 \\cos \\left(\\frac{2}{3} x+\\frac{4 \\pi}{3}\\right)-0.5 So the answer is 3.5 \\cos \\left(\\frac{2}{3} x+\\frac{4 \\pi}{3}\\right)-0.5\nThe answer is 3.5 \\cos \\left(\\frac{2}{3} x+\\frac{4 \\pi}{3}\\right)-0.5" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/085550.png
085550
030140
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the relationship between the vertical positions of $g(x)$ and $f(x)$?\nChoices:\nA. $g(x)$ is higher\nB. $g(x)$ is lower\nC. No vertical change\nD. Data is insufficient" }, { "from": "gpt", "value": "Direct observation of the relative placement of $g(x)$ beneath $f(x)$ uniformly across the graph results in identifying a vertical translation downward. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/030140.png
030140
050480
[ { "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 length of side BD in △BDE used to calculate the tangent of angle θ?" }, { "from": "gpt", "value": "Identifying the adjacent side BD to angle θ from the triangle setup, the length of BD is used in the tangent calculation of angle θ. So the answer is Length of BD\nThe answer is Length of BD" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/050480.png
050480
086532
[ { "from": "human", "value": "<image>\nAccording to 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 gas station records the number of gallons of regular unleaded fuel dispensed over two weeks. The graph shows the number of gallons of fuel as a function of cost per gallon. For which price bracket is the range of gallons dispensed the greatest?\nChoices:\nA. $\\$ 2.85$ to $\\$ 2.91$\nB. $\\$ 2.91$ to $\\$ 2.94$\nC. $\\$ 2.94$ to $\\$ 3.03$\nD. $\\$ 3.03$ to $\\$ 3.06$" }, { "from": "gpt", "value": "Range is the difference between the highest and lowest values. Notice that the difference between the highest and lowest data points in the price bracket between $\\$ 2.85$ and $\\$ 2.91$ is less than two tick marks, which represents 500 gallons. For the interval $\\$ 2.91$ to $\\$ 2.94$, the difference between the data points is more than two tick marks, which is greater than 500 . The range of gallons dispensed for both the $\\$ 2.94$ to $\\$ 3.03$ and $\\$ 3.03$ to $\\$ 3.06$ price brackets is also less than two tick marks. Thus, the greatest range occurs in the $\\$ 2.91$ to $\\$ 2.94$ price bracket. ($\\$ 2.91$ to $\\$ 2.94$) is correct. So the answer is B\nAnswer: $\\$ 2.91$ to $\\$ 2.94$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/086532.png
086532
032296
[ { "from": "human", "value": "<image>\nAccording to 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 function has the lowest value at $x = 4$?\nChoices:\nA. f\nB. g\nC. h" }, { "from": "gpt", "value": "Compare the y-coordinates of the points on graphs $f$, $g$, and $h$ at $x = 4$ to determine which has the lowest value. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/032296.png
032296
056356
[ { "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 the semicircle were made into a complete circle, what would be the total area?" }, { "from": "gpt", "value": "Using the radius r from the semicircle, apply the formula for the area of a circle, A = pi * r^2 as the radius remains constant whether it is a semicircle or a full circle. So the answer is The total area of the full circle is calculated by using the radius from the semicircle in the circle area formula.\nThe answer is The total area of the full circle is calculated by using the radius from the semicircle in the circle area formula." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/056356.png
056356
008118
[ { "from": "human", "value": "<image>\nAccording to 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 calculate the linear distance around the sector, which additional piece of information is required?\nChoices:\nA. Radius of the circle\nB. Area of the circle\nC. Diameter of the circle\nD. Angle of the sector" }, { "from": "gpt", "value": "To calculate the arc length, which is the linear distance around the sector, you need the radius and the angle of the sector. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/008118.png
008118
042527
[ { "from": "human", "value": "<image>\nAccording to 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 first term of the sequence.\nChoices:\nA. -4\nB. 0\nC. 4\nD. 5" }, { "from": "gpt", "value": "The first plotted point indicates the initial term of the sequence, which is -4. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/042527.png
042527
057414
[ { "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 equation of the paraboloid that encapsulates the volume above the disk?" }, { "from": "gpt", "value": "The paraboloid given in the equation $z=4-x^2-y^2$ extends over the entire $xy$-plane and caps the volume that lies above the disk and below this surface. So the answer is The equation of the paraboloid is $z=4-x^2-y^2$.\nThe answer is The equation of the paraboloid is $z=4-x^2-y^2$." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/057414.png
057414
061557
[ { "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 horizontal shift applied to the function $y=\\cos x$ to form the function $y=5 \\cos (x-45^\\circ)$." }, { "from": "gpt", "value": "The function was shifted horizontally to the right by $45^\\circ$. So the answer is horizontal shift of $45^\\circ$ right\nThe answer is horizontal shift of $45^\\circ$ right" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/061557.png
061557
010359
[ { "from": "human", "value": "<image>\nAccording to 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 theorem can be applied to find the area of the remaining square region?\nChoices:\nA. Pythagorean Theorem\nB. The Area Formula of Isosceles Triangle\nC. The Area Formula of Square\nD. The Area Formula of Rectangle" }, { "from": "gpt", "value": "To find the area of region III, Pythagorean theorem is used. According to the Pythagorean theorem, the square of the hypotenuse (region III) equals the sum of the squares of the other sides (regions I and II). This means that the area of region III is calculated as I^2 + II^2, which matches the Pythagorean theorem. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/010359.png
010359
077501
[ { "from": "human", "value": "<image>\nAccording to 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 percentage of people living in the Mountain region exactly 4.0%?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Given that the Mountain region accommodates 4.0% of the population, the answer is 'Yes'. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/077501.png
077501
078409
[ { "from": "human", "value": "<image>\nAccording to 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 spending gap between Interest on National Debt and Education in 2010 less than $80 billion?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The actual spending difference is $70 billion, which is indeed less than $80 billion. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/078409.png
078409
047602
[ { "from": "human", "value": "<image>\nAccording to 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 edges does the box have?\nChoices:\nA. 8\nB. 12\nC. 14\nD. 16" }, { "from": "gpt", "value": "A rectangular prism is characterized by having 12 edges. Each edge represents a line segment where two faces of the prism meet. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/047602.png
047602
027110
[ { "from": "human", "value": "<image>\nAccording to 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 transformation between the functions f and g?\nChoices:\nA. Shifted 5 units up\nB. Shifted 10 units down\nC. Shifted 5 units down\nD. Shifted 10 units up" }, { "from": "gpt", "value": "The functions show that g is shifted downwards from f by 5 units. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/027110.png
027110
082276
[ { "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 was the estimated cat population in Austria in $2000 ?" }, { "from": "gpt", "value": "To read the table, first look for Austria along the top. Then read down to the row for $2000$ .\nWhat is the number there? Remember that in this table all numbers mean millions. \npopulation $=31000000$ So the answer is 31000000\nThe answer is 31000000" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/082276.png
082276
046782
[ { "from": "human", "value": "<image>\nAccording to 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 unshaded squares in the grid?\nChoices:\nA. 45 squares\nB. 55 squares\nC. 50 squares\nD. 100 squares" }, { "from": "gpt", "value": "After calculating $0.9 \\times 0.5 = 0.45$, the number of shaded squares is 45 out of 100. Therefore, the remaining unshaded squares total to 55 out of the full 100-square grid. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/046782.png
046782
031853
[ { "from": "human", "value": "<image>\nAccording to 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 function value at x = -4?\nChoices:\nA. -2\nB. 2\nC. -4\nD. 0" }, { "from": "gpt", "value": "The function value at x = -4 can be found by observing the intersection of x = -4 on the graph, which yields a y-value of 2. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/031853.png
031853
058683
[ { "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 elements to be substituted into the formula to calculate the surface area." }, { "from": "gpt", "value": "Identify the values from the given data, which should be substituted right into the derived formula for surface area. Substitute L for the total height, R for larger radius, and r for smaller radius. So the answer is L = 13, R = 8, r = 4\nThe answer is L = 13, R = 8, r = 4" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/058683.png
058683
010091
[ { "from": "human", "value": "<image>\nAccording to 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 $\\ell \\| m$, what would be the measure of angle DBC?\nChoices:\nA. 27\nB. 36\nC. 54\nD. 72" }, { "from": "gpt", "value": "\\begin{tabular}{ll}\nIf $\\ell \\| m$, alternate interior $\\angle s$ are $\\cong$ & Parallel lines theory. \\\\\n$x=m \\angle DBC=54$ & From calculations in parallel condition.\n\\end{tabular} So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/010091.png
010091
070582
[ { "from": "human", "value": "<image>\nAccording to 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 AC be considered a chord and not a diameter when angle ABC is a right angle?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "No, because with angle ABC at 90 degrees, the rule that the center angle (AOC) is twice any circumference angle makes AOC 180 degrees. Only a diameter, like AC in this case, can represent such a straight angle across the circle. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/070582.png
070582
061972
[ { "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 will be the total number of layers when the folding increases by one fold from 8 times?" }, { "from": "gpt", "value": "From the given graph equation $y=2^x$, where $x$ is the number of folds. Initially, for 8 folds, the layers are $2^8 = 256$. For one additional fold (i.e., 9 folds), the layers will be $2^9 = 512$. So the answer is 512 layers\nThe answer is 512 layers" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/061972.png
061972
087151
[ { "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 percentage of the figure is shaded blue?" }, { "from": "gpt", "value": "Divide the number of squares shaded blue by the total number of squares.\n\nThere are 27 blue squares and a total of 50 squares.\n$$\n=\\frac{27}{50}\n$$\n\nConvert to a percentage by multiplying by $100 \\%$.\n$$\n=\\frac{27}{50} \\times 100 \\%\n$$\n\nMultiply numerator by numerator and denominator by denominator.\n$$\n=\\frac{2700 \\%}{50}\n$$\n\nUse your calculator to evaluate.\n$$\n=54 \\%\n$$ So the answer is $$\n=54 \\%\n$$\nThe answer is $$\n=54 \\%\n$$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/087151.png
087151
057843
[ { "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 y correct to two decimal places?" }, { "from": "gpt", "value": "By the cosine rule, a^2=b^2+c^2-2\\times b\\times c\\times \\cos A, where a=y, b=40, c=30 and A=45°.\\ny^2=40^2+30^2-\\left(2\\times 40\\times 30\\right)\\times \\cos 45^\\circ\\ny=\\sqrt{40^2+30^2-\\left(2\\times 40\\times 30\\right)\\times \\cos 45^\\circ }\\nUse your calculator to evaluate. Remember to give your answer to two decimal places. So the answer is 28.34\nThe answer is 28.34" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/057843.png
057843
063618
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, does the point at $x = 5$ have a closed or an open circle?" }, { "from": "gpt", "value": "Examining the graph, the point at $x=5$ is marked with a closed dot, which represents that the value of the function at this x-coordinate is defined and is part of the function. So the answer is Closed circle\nThe answer is Closed circle" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/063618.png
063618
035662
[ { "from": "human", "value": "<image>\nAccording to 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 distance from Amsterdam to Prague including stop at Berlin?\nChoices:\nA. 760 km\nB. 800 km\nC. 900 km\nD. 1000 km" }, { "from": "gpt", "value": "By adding up the distance segments from Amsterdam to Berlin and Berlin to Prague, the total is given. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/035662.png
035662
084785
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Find the value of $v$ in rhombus $RSTU$." }, { "from": "gpt", "value": "First, find the two angles whose measures are in terms of $v$. The measure of $\\angle R$ is $2 v$ and the neasure of $\\angle T$ is $v+31^{\\circ}$. Notice that $\\angle R$ and $\\angle T$ are opposite angles.\n\nOpposite angles in a rhombus are congruent, so set $m \\angle R$ equal to $m \\angle T$ and solve for $v$.\n$$\n\\begin{array}{rlrl}\nm \\angle R & =m \\angle T & \\\\\n2 v & =v+31^{\\circ} & & \\text { Plug in } \\mathrm{m} \\angle R=2 \\mathrm{v} \\text { and } \\mathrm{m} \\angle \\mathrm{T}=\\mathrm{v}+31^{\\circ} \\\\\nv & =31^{\\circ} \\quad \\text { Subtract } \\mathrm{v} \\text { from both sides }\n\\end{array}\n$$\n\nSo, $v=31^{\\circ}$. So the answer is $31^{\\circ}$\nThe answer is $31^{\\circ}$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/084785.png
084785
038255
[ { "from": "human", "value": "<image>\nAccording to 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 how much did the number of bugs increase from 1999 to 2002?\nChoices:\nA. 100\nB. 200\nC. 300\nD. 400" }, { "from": "gpt", "value": "In 1999, the number of bugs was 1000 and in 2002, it was 1300. Thus, the increase in bugs from 1999 to 2002 is 1300 - 1000 = 300. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/038255.png
038255
069289
[ { "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 complete algebraic expression represented by the set of tiles?" }, { "from": "gpt", "value": "By summarizing the counts of the different types of tiles, the expression formed is $7x^2 + 6x + 21$, representing the complete algebraic model laid out in the image. So the answer is $7x^2 + 6x + 21\nThe answer is $7x^2 + 6x + 21" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/069289.png
069289
021873
[ { "from": "human", "value": "<image>\nAccording to 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 physical characteristic of the cone is represented by 's' in the surface area formula?\nChoices:\nA. Height\nB. Volume\nC. Slant height\nD. Diameter of the base" }, { "from": "gpt", "value": "'s' in the formula represents the slant height of the cone, used to calculate the lateral surface area. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/021873.png
021873
082273
[ { "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: How many passengers flew from Luton in 2011?" }, { "from": "gpt", "value": "To read the table, first look for Luton along the left-side of the table. Then read across to the column for 2011.\nWhat is the number there? Remember that in this table all numbers are in thousands. \npassengers $=354000$ So the answer is 354000\nThe answer is 354000" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/082273.png
082273
030092
[ { "from": "human", "value": "<image>\nAccording to 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 find the distance from the origin to the point $(-4,-6)$ involving $r$?\nChoices:\nA. Using the midpoint formula\nB. Using Pythagorean theorem\nC. By calculating the scalar product\nD. Using the distance formula" }, { "from": "gpt", "value": "The distance from the origin $(0,0)$ to the point $(-4,-6)$, representing $r$, is calculated using the Pythagorean theorem as seen structured in the image and analysis. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/030092.png
030092
065493
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the total number of first-year students admitted in 2013 and 2015 combined?" }, { "from": "gpt", "value": "According to the graph, the number of first-year students admitted in 2013 is 54 hundred, and in 2015, it is 56 hundred. The total can be calculated by adding these two numbers: $54 + 56 = 110$ hundred. So the answer is 110 hundred\nThe answer is 110 hundred" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/065493.png
065493
051336
[ { "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 unknown side k given the opposite angles and lengths of the remaining sides." }, { "from": "gpt", "value": "Use the relationship of the sine of angles to their opposite sides, i.e., \\frac{a}{\\sin A} = \\frac{b}{\\sin B}. With a=14 and angles A=39^\\circ and B=102^\\circ, find k using k = \\frac{14 \\times \\sin 102^\\circ}{\\sin 39^\\circ}. So the answer is The calculated value of k is 21.76.\nThe answer is The calculated value of k is 21.76." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/051336.png
051336
077675
[ { "from": "human", "value": "<image>\nAccording to 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 scatter plot, is it clear that increasing speed always leads to an increase in gas mileage?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The parabolic shape of the scatter plot indicates that gas mileage increases only up to a certain point (the maximum), after which it decreases as speed continues to increase. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/077675.png
077675
023731
[ { "from": "human", "value": "<image>\nAccording to 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 did Yvonne reach the furthest distance from home?\nChoices:\nA. Once\nB. Twice\nC. Thrice\nD. Four times" }, { "from": "gpt", "value": "Count the number of peaks at the maximum value on the vertical axis. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/023731.png
023731
046855
[ { "from": "human", "value": "<image>\nAccording to 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 formula is crucial for calculating the satellite's orbit radius?\nChoices:\nA. $r = C - \\pi$\nB. $r = \\pi / C$\nC. $r = C / 2\\pi$\nD. $r = C + \\pi$" }, { "from": "gpt", "value": "The crucial formula used to calculate the satellite's orbit radius from its circumference is $r = C / 2\\pi$. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/046855.png
046855
082989
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Suppose that a new source of alternative energy, Cold Fusion, is perfected. It is projected that by 2017 that $57 million will be invested in Cold Fusion in the United States, without any corresponding reduction in investment for any other form of alternative energy. What portion of the total investment of alternative energy in the United States will be spent on biofuels?\nChoices:\nA. 0.18\nB. 0.22\nC. 0.28\nD. 0.34" }, { "from": "gpt", "value": "You know the new proportion must be less than the current 0.34 for biofuels (because the total amount spent on alternative energy is increasing, but the amount spent on biofuels is remaining the same), so you can eliminate 0.34.\n\nNext, determine the amount that will be spent on biofuels in 2017 by multiplying 0.34 by the total of $\\$ 254$ million: $0.34 \\times$ $254=\\$ 86.36$ million. Because 57 million new dollars will be spent on alternative energy, the new total will be $254+57=$ $\\$ 311$ million. Divide $\\$ 86.36$ million by $\\$ 311$ million to get the new proportion: $\\frac{86.38}{311}=0.28$, which is 0.28. So the answer is C\nAnswer: 0.28" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/082989.png
082989
062317
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, does the graph of $y=2^{x}$ only cover positive $x$ values?" }, { "from": "gpt", "value": "The graph of $y=2^{x}$ does not only cover positive $x$ values, but also covers negative $x$ values, essentially all real numbers. So the answer is No, the graph does not only cover positive $x$ values.\nThe answer is No, the graph does not only cover positive $x$ values." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/062317.png
062317
069473
[ { "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 hundredths are there in total from all groups?" }, { "from": "gpt", "value": "Since each group in the image has 1 hundredth and there are 3 groups, the total number of hundredths is calculated by $3 \\times 1$ hundredth. So the answer is 3 hundredths\nThe answer is 3 hundredths" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/069473.png
069473
080118
[ { "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 y." }, { "from": "gpt", "value": "Looking at the figure, $2+y+3=9$.\n $y=9-2-3 \\mathrm{~cm}$\n Evaluate the expression \n$y=4 \\mathrm{~cm}$ So the answer is \nThe answer is " } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/080118.png
080118
083158
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the new image?\nChoices:\nA. A\nB. E\nC. F\nD. D\nE. C\nF. B" }, { "from": "gpt", "value": "Use the grid to slide the original image 6 units up. The image should still appear in the same orientation.\n\nTo rotate, imagine a vertical and horizontal line through point O that divides the grid into four 90^\\circ quadrants.\n\nUse the quadrants to rotate the translated image. \\n B So the answer is F\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/083158.png
083158
014438
[ { "from": "human", "value": "<image>\nAccording to 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 area of triangle ABC if AB = AC = 4 and angle BAC is 80 degrees?\nChoices:\nA. 8 square units\nB. 12 square units\nC. 16 square units\nD. 20 square units\nE. None of these" }, { "from": "gpt", "value": "The area of triangle ABC, knowing it's an isosceles with base angles of 50 degrees and a vertex angle of 80 degrees: $$Area = 0.5 * AB * AC * sin(Angle A) \\Rightarrow 0.5 * 4 * 4 * sin(80 degrees)$$ So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/014438.png
014438
084926
[ { "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 double integral $\\iint_R x \\sin (x y) d A$ over the region $R=\\{(x, y) \\mid 0 \\leq x \\leq \\pi, 1 \\leq y \\leq 2\\}$ (Figure 15.1.7).\nEvaluate the integral." }, { "from": "gpt", "value": "Evaluate the double integral using the easier way.\n$$\n\\begin{aligned}\n\\iint_R x \\sin (x y) d A & =\\int_{x=0}^{x=\\pi} \\int_{y=1}^{y=2} z \\sin (x y) d y d x \\\\\n& =\\int_{x=0}^{x=\\pi}\\left[\\int_{3=x}^{v=2 x} \\sin (u) d u\\right] d z=\\int_{x=0}^{x=\\pi}\\left[-\\left.\\cos u\\right|_{u=x} ^{u-2 x}\\right] d x \\\\\n& =\\int_{x=0}^{x=\\pi}(-\\cos 2 x+\\cos x) d x \\\\\n& =\\left.\\left(-\\frac{1}{2} \\sin 2 x+\\sin x\\right)\\right|_{x=0} ^{x-\\pi}=0 .\n\\end{aligned}\n$$ So the answer is 0\nThe answer is 0" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/084926.png
084926
072519
[ { "from": "human", "value": "<image>\nAccording to 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 area of triangle AFE equal 30 square units?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The calculation of the area of triangle AFE using the dimensions provided results in 24 square units, not 30. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/072519.png
072519
026118
[ { "from": "human", "value": "<image>\nAccording to 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 lies exactly between the wave's maximum and minimum values?\nChoices:\nA. Period\nB. Amplitude\nC. Frequency\nD. Midline" }, { "from": "gpt", "value": "Midline is the horizontal line that passes exactly between the minimum value and the maximum value of a sinusoidal graph. So the answer is D\nAnswer: D" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/026118.png
026118
072751
[ { "from": "human", "value": "<image>\nAccording to 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 the side x of a triangle with the other sides measuring 3 units and 4 units be 4 units, making the perimeter 11 units?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The side x can be calculated through the Pythagorean Theorem. As per the analysis, given sides of 3 and 4 in a right triangle setup imply x would be 5. Hence, x cannot correctly be 4, and so the perimeter cannot be 11 but is 12. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/072751.png
072751
073387
[ { "from": "human", "value": "<image>\nAccording to 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 FH length substituted correctly according to the given formulas for calculating the tangent?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Yes, FH was correctly substituted as the opposite side length in the tangent formula, which is evidenced by the use of FH=√46 in the calculations. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/073387.png
073387
055482
[ { "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 side $AB$ to the side $AC$?" }, { "from": "gpt", "value": "In the triangle depicted in the image, the ratio of side $AB$ to side $AC$ can be found using the properties of similar triangles. If $AB=3$ and $BC=4$, then the full length of $AC$ is $AB+BC$, which equals $7$. Hence the ratio of $AB$ to $AC$ is $3:7$. So the answer is 3:7\nThe answer is 3:7" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/055482.png
055482
080893
[ { "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 area of the shaded region?" }, { "from": "gpt", "value": "To find the area of the shaded region, subtract the area of the inner shape from the area of the outer shape. Start by finding the area of the inner shape.\n\nFind the side length of the inner square.\nside: $3 \\mathrm{~m}$\n\nUse this number in the formula.\n$$\n\\begin{aligned}\n\\text { inner area } & =\\text { side } \\times \\text { side } \\\\\n& =3 \\times 3 \\\\\n& =9\n\\end{aligned}\n$$\n\nNow find the units. The lengths are measured in meters, so the area is measured in square meters.\n\nThe area of the inner square is 9 square meters.\nNext, find the area of the outer shape.\nFind the side length of the outer square.\nside: $6 \\mathrm{~m}$\n\nUse this number in the formula.\n$$\n\\begin{aligned}\n\\text { outer area } & =\\text { side } \\times \\text { side } \\\\\n& =6 \\times 6 \\\\\n& =36\n\\end{aligned}\n$$\n\nAs with the inner square, the lengths of the outer square are measured in meters. So, the area is measured in square meters.\n\nThe area of the outer square is 36 square meters.\nFinally, subtract the inner area from the outer area to find the area of the shaded region.\n$$\n\\begin{aligned}\n\\text { shaded area } & =36-9 \\\\\n& =27\n\\end{aligned}\n$$\n\nThe area of the shaded region is 27 square meters. So the answer is 27\nThe answer is 27" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/080893.png
080893
019915
[ { "from": "human", "value": "<image>\nAccording to 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 it possible to find the perpendicular height of the cone without using Pythagoras' Theorem?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "If we know the slant height and base radius, we can use Pythagoras' theorem to calculate the perpendicular height; without it we cannot calculate the height. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/019915.png
019915
011859
[ { "from": "human", "value": "<image>\nAccording to 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 diameter of the semicircle in relation to the square?\nChoices:\nA. Equal to the side of square\nB. Half the side of square\nC. Twice the side of square\nD. Unrelated to the square" }, { "from": "gpt", "value": "The analysis states that the side of the square equals the diameter of the semicircle, showing an exact match to the side. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/011859.png
011859
055747
[ { "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 geometric term describes the line intersecting the two others?" }, { "from": "gpt", "value": "A line that intersects two other lines in distinct points can be identified as a transversal. This is evident from the positions of the lines and their points of intersection in the image. So the answer is transversal\nThe answer is transversal" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/055747.png
055747
027355
[ { "from": "human", "value": "<image>\nAccording to 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 parabolic mirror influence its depth?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "No, the radius of the parabolic mirror does not necessarily influence its depth. However, in the given context, where we take the depth of the mirror to be the distance between the vertex and the focus, differences in the radius will cause the position of the vertex to change and thus will indirectly affect depth. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/027355.png
027355
085957
[ { "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 intercepts of the line.\ny-intercept:( _ , _ )\nx-intercept:( _ , _ )" }, { "from": "gpt", "value": "The $y$-intercept is the point where the graph intersects the $y$-axis. Since the $y$-axis is also the line $x=0$, the $x$-value of this point will always be 0 .\n\nThe $x$-intercept is the point where the graph intersects the $x$ axis. Since the $x$-axis is also the line $y=0$, the $y$-value of this point will always be 0 .\nBy looking at the graph, we can see that:\nThe $y$-intercept is $(0,-6)$.\\nThe $x$-intercept is $(-8,0)$. So the answer is The $y$-intercept is $(0,-6)$.\nThe $x$-intercept is $(-8,0)$.\nThe answer is The $y$-intercept is $(0,-6)$.\nThe $x$-intercept is $(-8,0)$." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/085957.png
085957
044581
[ { "from": "human", "value": "<image>\nAccording to 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 peppers produced in July?\nChoices:\nA. 2,440\nB. 2,540\nC. 2,640\nD. 2,740" }, { "from": "gpt", "value": "The number of peppers produced in July is directly displayed in the table in the image. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/044581.png
044581
072110
[ { "from": "human", "value": "<image>\nAccording to 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 triangle ABC, AB equals AC. When EC is less than DB, is AE necessarily greater than AD?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "As per the principle, if unequal quantities are subtracted from equal quantities, the results are unequal in the opposite order. Given AB equals to AC, and EC is less than DB, it implies that AD is less than AE. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/072110.png
072110
050619
[ { "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 angle in the triangle is the largest?" }, { "from": "gpt", "value": "In any right-angled triangle, the largest angle is always the right angle, which measures 90 degrees. So the answer is The right angle\nThe answer is The right angle" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/050619.png
050619
038850
[ { "from": "human", "value": "<image>\nAccording to 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 what factor do Clothes donations exceed those of Toys?\nChoices:\nA. 1.1x\nB. 1.25x\nC. 1.4x\nD. 1.5x" }, { "from": "gpt", "value": "Clothes donations amount to 275 and Toys 200. The exceed factor is 275/200 = 1.375, rounded to 1.4x. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/038850.png
038850
065583
[ { "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 slope of the line representing the relationship between house price and square footage?" }, { "from": "gpt", "value": "The slope can be calculated using two points on the line, which are provided on the scatterplot. The formula for slope, m, is m = (change in y) / (change in x). From the analysis, using the coordinates (2500, 400) and (1250, 200), the slope m is calculated as m = (400 - 200) / (2500 - 1250) = 200 / 1250 = 0.16. So the answer is 0.16\nThe answer is 0.16" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/065583.png
065583
015108
[ { "from": "human", "value": "<image>\nAccording to 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 point D is the midpoint of line AC, what type of triangles does AD and DC create?\nChoices:\nA. Equilateral triangles\nB. Isosceles triangles\nC. Scalene triangles\nD. Right triangles" }, { "from": "gpt", "value": "Since point D is the midpoint of AC, AD equals DC, creating two line segments of equal length and hence two isosceles triangles. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/015108.png
015108
033503
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, find which statement is true at $x = -3$. Does the function have a limit, and is it discontinuous?\nChoices:\nA. Limit exists and discontinuous\nB. Limit does not exist and discontinuous\nC. Limit exists and continuous\nD. Limit does not exist and continuous" }, { "from": "gpt", "value": "As $x$ approaches -3, the function does not settle on a single result but has differing outcomes from different directions, indicating both a lack of limit and the presence of discontinuity. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/033503.png
033503
064526
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, can we infer a proportional increase in the number of schools with respect to time?" }, { "from": "gpt", "value": "In order to infer proportionality, one must determine if every increase in time shows a corresponding proportional increase in the number of schools, which would indicate a linear relation represented by y = kx. So the answer is proportional increase\nThe answer is proportional increase" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/064526.png
064526
059084
[ { "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 additional 2 meters are added to both the height and the width of one side wall, what would be the new area?" }, { "from": "gpt", "value": "The original dimensions are 7 meters in height and 10 meters in width. By adding 2 meters to each, the new dimensions become 9 meters by 12 meters. The area can be calculated as the product of these new dimensions. So the answer is New area = 9 m x 12 m = 108 sq. m\nThe answer is New area = 9 m x 12 m = 108 sq. m" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/059084.png
059084
040158
[ { "from": "human", "value": "<image>\nAccording to 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 games did the soccer team win in 2018?\nChoices:\nA. 1\nB. 2\nC. 3\nD. 4\nE. 5" }, { "from": "gpt", "value": "Find 2018 on the graph and note the number of wins it shows. So the answer is D\nAnswer: D" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/040158.png
040158