id
stringlengths 6
6
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056840 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, how would you prove that two lines are parallel?"
},
{
"from": "gpt",
"value": "To prove that two lines are parallel from the image, one could use the Converse of the Corresponding Angles Postulate, which states that if two lines and a transversal form corresponding angles that are congruent, then the lines are parallel. So the answer is Converse of the Corresponding Angles Postulate\nThe answer is Converse of the Corresponding Angles Postulate"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056840.png | 056840 |
038157 | [
{
"from": "human",
"value": "<image>\nAccording to 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 progression of B's earnings described over the year?\nChoices:\nA. Steady increase\nB. Sudden jump mid-year\nC. Initial drop then rise\nD. Steady decrease"
},
{
"from": "gpt",
"value": "The analysis specifically mentions a continuous and regular salary growth for B, increasing by the same amount each month from $400 to $950. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038157.png | 038157 |
083576 | [
{
"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 of the hypotenuse, $c$ in this triangle."
},
{
"from": "gpt",
"value": "The triangle is a right-angled triangle, so the hypotenuse can be found using $c^{2}=a^{2}+b^{2}$\n\n$c^{2}=8^{2}+15^{2}$\n\nEvaluate to find the value of $c^{2}$ using your calculator if necessary.\n\n$c^{2}=289$\n\nSquare root both sides of the equation.\n\n$c=\\sqrt{289}$\n\nEvaluate to find the value of $c$ using your calculator if necessary\n\n$c=17$ So the answer is $c=17$\nThe answer is $c=17$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083576.png | 083576 |
072131 | [
{
"from": "human",
"value": "<image>\nAccording to 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 AC is perpendicular to BD, is it accurate that the length of BC is always greater than AB?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "There's no consistent geometric rule indicating that BC must be greater than AB if AC is perpendicular to BD. Typically, if AB includes the hypotenuse, it would be longer than BC, a leg or other segment. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072131.png | 072131 |
057288 | [
{
"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 $n$?"
},
{
"from": "gpt",
"value": "To find angle $n$, summation of the adjacent angles given in the diagram is performed. From the image: $$\\begin{aligned} & n=30^\\circ+40^\\circ \\\\ & n=70^\\circ \\end{aligned}$$ Thus, angle $n$ measures 70 degrees. So the answer is 70 degrees\nThe answer is 70 degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057288.png | 057288 |
051303 | [
{
"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 calculated length of side AB when cos(C) is 8/9?"
},
{
"from": "gpt",
"value": "To find AB, use the cosine rule formula: AB^2 = AC^2 + BC^2 - 2 * AC * BC * cos(C), which allows us to plug in the given values of sides and angle. After calculating AB^2, extract the square root of the result to find the length of AB. So the answer is 4.24\nThe answer is 4.24"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/051303.png | 051303 |
033614 | [
{
"from": "human",
"value": "<image>\nAccording to 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 statement correctly describes the limit behavior of $f(x)$ as $x$ approaches 6?\nChoices:\nA. Function converges to a single value\nB. Function diverges to different values\nC. Function does not exist at x = 6"
},
{
"from": "gpt",
"value": "The graph depiction reveals different approaching values from the left and right as $x$ approaches 6, pointing to a divergence to different values. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033614.png | 033614 |
082175 | [
{
"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: Using $n=8$ approximate the value of $\\int_0^4 \\cos (1+\\sqrt{x}) d x$ using the Trapezoid Rule. Use at least 6 decimal places of accuracy for your work."
},
{
"from": "gpt",
"value": "From the Midpoint Rule work we know that the width of each subinterval is $\\Delta x=\\frac{1}{2}$ and for reference purposes the sketch of the graph along with the endpoints of each subinterval marked by the dots is shown below.\n\nSo, to use the Trapezoid Rule to approximate the value of the integral all we need to do is plug into the formula. Doing this gives,\n$$\n\\begin{aligned}\n& \\int_0^4 \\cos (1+\\sqrt{x}) d x \\approx\\left(\\frac{1 / 2}{2}\\right)\\left[f(0)+2 f\\left(\\frac{1}{2}\\right)+2 f(1)+2 f\\left(\\frac{3}{2}\\right)+2 f(2)+2 f\\left(\\frac{5}{2}\\right)+\\right. \\\\\n&\\left.2 f(3)+2 f\\left(\\frac{7}{2}\\right)+f(4)\\right] \\\\\n&=-2.43000475\n\\end{aligned}\n$$ So the answer is -2.43000475\nThe answer is -2.43000475"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082175.png | 082175 |
052550 | [
{
"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 central angle $x$ standing on arc $B C$ if the angle at the circumference $\\angle BAC$ is $33^\\circ$?"
},
{
"from": "gpt",
"value": "By the rule that the central angle is twice any inscribed angle that subtends the same arc, we calculate $x$ with $\\angle B A C = 33^\\circ$. This leads to $x = 2 \\times 33^\\circ = 66^\\circ$. The concept is fundamental in understanding the properties of circles and how angles relate within them. So the answer is $x = 66^\\circ$\nThe answer is $x = 66^\\circ$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052550.png | 052550 |
053136 | [
{
"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 numerical value that the central angle should be substituted into the formula to find the area?"
},
{
"from": "gpt",
"value": "For the calculation of the sector's area within the formula \\( \\text{Area of a sector} = \\left(\\frac{\\theta }{360^\\circ}\\right)\\times \\left(\\pi r^2\\right) \\), the angle utilizes a specific measure stated as \\( \\theta = 121^\\circ \\), which indicates the fraction of the circle that the sector occupies. So the answer is The numerical value of the central angle is 121 degrees.\nThe answer is The numerical value of the central angle is 121 degrees."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053136.png | 053136 |
075773 | [
{
"from": "human",
"value": "<image>\nAccording to 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 relationship between the size of a house and its building cost per square foot be modeled by a function of the form xy=a?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The building cost per square foot often decreases as the size of the house increases due to economies of scale, showing a typical inverse relationship, but not one where increase in one leads strictly to decrease in the other in a hyperbolic manner. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075773.png | 075773 |
006530 | [
{
"from": "human",
"value": "<image>\nAccording to 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 on a straight line is 93 degrees, find the measure of the other angle $a$.\nChoices:\nA. 97 degrees\nB. 90 degrees\nC. 87 degrees\nD. 93 degrees"
},
{
"from": "gpt",
"value": "Since the angles on a straight line add up to 180 degrees and one angle measures 93 degrees, it is straightforward to determine that angle $a$,\n\nmust be $180^\\circ - 93^\\circ = 87^\\circ$. This calculation is affirmed by the linear configuration seen in the image. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/006530.png | 006530 |
064175 | [
{
"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 holes did Ivan play in total during this golf session?"
},
{
"from": "gpt",
"value": "If we calculate the sum of all the frequencies of scores from the table in the image, we get the total number of holes Ivan played. So the answer is 18 holes\nThe answer is 18 holes"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/064175.png | 064175 |
018620 | [
{
"from": "human",
"value": "<image>\nAccording to 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 upper bound of the solid?\nChoices:\nA. A sphere\nB. A cylinder\nC. A paraboloid\nD. A cone"
},
{
"from": "gpt",
"value": "The upper bound of the solid is defined by the paraboloid $z=4-x^2-y^2$. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/018620.png | 018620 |
063302 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what can be deduced about the slope of the line containing the point (a, b)?"
},
{
"from": "gpt",
"value": "Since the point lies on a linear graph represented in the image, by determining the slope using the coordinates given in the analysis, which are (-8, 2), the slope calculation utilizes the formula for slope (rise over run). Using (-8,2), and typical interpretation of slope in a cartesian coordinate system, it appears that the line descends as it moves left to right which indicates a negative slope. So the answer is negative\nThe answer is negative"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063302.png | 063302 |
034901 | [
{
"from": "human",
"value": "<image>\nAccording to 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 formula is used to calculate the integral limits?\nChoices:\nA. -1 to 2 based on x-values\nB. 0 to 1 based on y-values\nC. 1 to 2 based on t-values\nD. 2 to -1 reversing direction"
},
{
"from": "gpt",
"value": "The limits of integration are determined from the parameterization range which corresponds to the x-values across which the curve extends, providing the necessary boundaries for calculation of the line integral. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/034901.png | 034901 |
021273 | [
{
"from": "human",
"value": "<image>\nAccording to 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 surface area of the smaller rectangle more than 75 units^2 when viewed from the left side?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The area of the smaller rectangle when viewed from the left side is 14 units * 6 units = 84 units^2, which is more than 75 units^2. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/021273.png | 021273 |
059548 | [
{
"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 distance measure from home shown for Frank at 7 am?"
},
{
"from": "gpt",
"value": "Analyze the graph's data points to find out the distance from home displayed for Frank at the exact time of 7 am. So the answer is 30km\nThe answer is 30km"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059548.png | 059548 |
019180 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what kind of geometric region does the surface cover?\nChoices:\nA. Convex region\nB. Concave region\nC. Planar region\nD. Curved surface"
},
{
"from": "gpt",
"value": "The description of the region over which the surface extends is indicated in the image and involves spatial interpretations of how the area and boundaries are structured geometrically. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/019180.png | 019180 |
001409 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what geometric principles help find OM's length?\nChoices:\nA. Circumference formula\nB. Area of a circle\nC. Pythagoran theorem\nD. Sine rule"
},
{
"from": "gpt",
"value": "The length of OM is found using the Pythagorean theorem in the context of \triangle AOM. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/001409.png | 001409 |
013509 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what kind of triangle is triangle ACE labeled as?\nChoices:\nA. acute\nB. right\nC. obtuse\nD. isosceles"
},
{
"from": "gpt",
"value": "Triangle ACE is within a rectangle and one of its angles is a right angle as it coincides with the right angle of the rectangle. Therefore, it is a right triangle. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/013509.png | 013509 |
046103 | [
{
"from": "human",
"value": "<image>\nAccording to 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 each repeating decimal number a rational number?\nChoices:\nA. Yes, always\nB. No, never\nC. Sometimes\nD. If the number is positive\nE. If the number is negative"
},
{
"from": "gpt",
"value": "Remember that irrational numbers cannot be expressed as fractions. If a decimal has a pattern of repeating digits in the decimal places, it can be written as a fraction. Therefore, if a decimal number does have a repeating pattern, it is a rational number. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/046103.png | 046103 |
053163 | [
{
"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 area of the shaded region assuming it is a sector of a circle with a known radius and angle."
},
{
"from": "gpt",
"value": "To calculate the area of the shaded section, which is a sector, use the formula for the area of a sector: Area = (1/2) * r^2 * theta, where r is the radius and theta is the central angle in radians. Both the radius and angle are assumed to be given in the image. So the answer is The area of the sector can be computed using the provided radius and central angle from the image.\nThe answer is The area of the sector can be computed using the provided radius and central angle from the image."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053163.png | 053163 |
032946 | [
{
"from": "human",
"value": "<image>\nAccording to 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 axis of symmetry for the cosine curve displayed.\nChoices:\nA. x-axis\nB. y-axis\nC. Line y=x\nD. No axis of symmetry"
},
{
"from": "gpt",
"value": "The graph of a cosine function demonstrates symmetry about the y-axis due to the nature of the cosine wave. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/032946.png | 032946 |
081172 | [
{
"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 will the volume be?\n\nLeave your answer in exact form in terms of \\pi ."
},
{
"from": "gpt",
"value": "Recall that for both cones and pyramids, volume is given by\n\\frac{1}{3}\\times \\text{base area }\\times \\text{perpendicular height }.\n\nWhat is the base area of a cone?\n\nSince a cone of radius r and perpendicular height 3 has a circular base, its volume is \\frac{1}{3}\\pi r^2\\times 3.\n\nHere r=2u and 3=\\sqrt{5}u.\n\nVolume = \\frac{1}{3}\\pi \\times \\left(2u\\right)^2\\times \\sqrt{5}u cubic units.\n\nSince we want to leave \\pi as part of the expression, we won't use a calculator to round any part of the product. Instead, how can we simplify the operations around \\pi ?\n\nWe can simplify \\left(2u\\right)^2.\n\nVolume = \\frac{1}{3}\\pi \\times 4u^2\\times \\sqrt{5}u cubic units\n\nTo leave $$ as a term in the product, consider how \\left(\\frac{1}{3}\\times 4u^2\\right)\\times \\sqrt{5}u can be simplified.\n\nu\\times u^2 can be simplified by adding the powers since the bases are the same. \\n \\frac{4}{3}\\sqrt{5}\\pi u^3 cubic units So the answer is \\frac{4}{3}\\sqrt{5}\\pi u^3 cubic units\nThe answer is \\frac{4}{3}\\sqrt{5}\\pi u^3 cubic units"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081172.png | 081172 |
065745 | [
{
"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 probability of outcome 2?"
},
{
"from": "gpt",
"value": "To determine the probability of outcome 2, access the provided table in the image and locate the probability corresponding to outcome 2. So the answer is 0.4\nThe answer is 0.4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065745.png | 065745 |
075489 | [
{
"from": "human",
"value": "<image>\nAccording to 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 graph with a straight line descending from left to right represent a linear function?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "A descending straight line has a negative constant rate of change, which is characteristic of a linear function. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075489.png | 075489 |
016866 | [
{
"from": "human",
"value": "<image>\nAccording to 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 side IJ is parallel to side WV, what is the nature of triangles IJK and WXV?\nChoices:\nA. Both are similar\nB. Both are congruent\nC. They are neither similar nor congruent\nD. Cannot determine"
},
{
"from": "gpt",
"value": "Assess the relationship between side IJ of triangle IJK and side WV of triangle WXV if they are parallel. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016866.png | 016866 |
072686 | [
{
"from": "human",
"value": "<image>\nAccording to 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 x equal 20 if the equation is x/20 = 12/15?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Given the equation x/20 = 12/15, solving for x involves the steps: x/20 = 12/15, then 15x = 240, which simplifies to x = 16, not 20. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072686.png | 072686 |
071885 | [
{
"from": "human",
"value": "<image>\nAccording to 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 measure of angle ODC equal to 38 degrees?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Line PD is perpendicular to line OD, and m angle ODE is 90 degrees as given by a right angle which measures 90 degrees. Subtracting the measured angle DOC (52 degrees) from 90 degrees gives 38 degrees; thus the measure of angle ODC is 38 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/071885.png | 071885 |
060554 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the vertical shift of the physical biorhythm graph?"
},
{
"from": "gpt",
"value": "The vertical shift can be observed as the displacement of the sinusoidal graph's central line from the horizontal baseline. This shift is calculated by measuring the distance of the midline of the graph above or below the baseline which affects how the physical states are represented. So the answer is distance the central line is shifted from the base horizontal line\nThe answer is distance the central line is shifted from the base horizontal line"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060554.png | 060554 |
078338 | [
{
"from": "human",
"value": "<image>\nAccording to 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 percent increase in fossil fuel energy consumption between 1950 and 2010 less than 160%?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The percent increase calculated from 1950 to 2010 was 156%, which is less than 160%. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/078338.png | 078338 |
073572 | [
{
"from": "human",
"value": "<image>\nAccording to 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 supplementary angle pair necessarily sum up to exactly 180 degrees, for example, 90 degrees and 90 degrees?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Supplementary angles are always defined as angles whose sum equals 180 degrees, including pairs such as 90 and 90 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073572.png | 073572 |
081509 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Use the graph to find an approximate solution to \\(\\sqrt{6 x+7}=6\\). Round your answer to the nearest integer. \\(x \\approx _\\)"
},
{
"from": "gpt",
"value": "The $x$-coordinates of the points where the graphs of the equations $y=f(x)$ and $y=g(x)$ intersect are the solutions of the equation $f(x)=g(x)$.\n\nIn our case, $f(x)=\\sqrt{6 x+7}$ and $g(x)=6$. We already have $f$ graphed, and the graph of $g$ is a horizontal line. Let's add it and see what we get.\n\nBoth $f$ and $g$ are now graphed, and the solution of $f(x)=g(x)$ can be found by looking for their intersection points.\n\nThe graphs intersect where the $x$-coordinate is approximately 5 . \\n 5 So the answer is 5\nThe answer is 5"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081509.png | 081509 |
019243 | [
{
"from": "human",
"value": "<image>\nAccording to 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 dimension is crucial in addition to radius for solving the problem?\nChoices:\nA. Volume\nB. Diameter\nC. Height\nD. Slant Height"
},
{
"from": "gpt",
"value": "Given the computation for the curved surface area involves both the radius and the height of the cylinder, the height is essential alongside the radius. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/019243.png | 019243 |
056862 | [
{
"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 of the shape?"
},
{
"from": "gpt",
"value": "The shape in the image is a parallelogram. By the definition of parallelogram, we identify the base from the image. So the answer is 13 ft\nThe answer is 13 ft"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056862.png | 056862 |
025312 | [
{
"from": "human",
"value": "<image>\nAccording to 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 value of f(-3).\nChoices:\nA. -3\nB. 0\nC. 2\nD. 3"
},
{
"from": "gpt",
"value": "To find f(-3), view where x = -3 intersects on the graph. The location at (-3,0) gives f(-3) as 0. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/025312.png | 025312 |
042059 | [
{
"from": "human",
"value": "<image>\nAccording to 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 any age group have two official start times for the shot put event?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The graph shows that there's only one age group with two possible start times, but only one (indicated by the closed circle) is the official start time. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/042059.png | 042059 |
044324 | [
{
"from": "human",
"value": "<image>\nAccording to 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 visitor trends at Arches National Park during these years?\nChoices:\nA. Gradual decline\nB. Rapid increase\nC. Steady increase\nD. No clear pattern"
},
{
"from": "gpt",
"value": "Look at the sequence of yearly visitor data from 2003 to 2006 to discern the pattern or trend present. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/044324.png | 044324 |
083396 | [
{
"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: In the figure above, triangle $X Y Z$ is a right triangle with $X Z=3$. If $\\tan m=\\sqrt{3}$, what is $X Y$ ?"
},
{
"from": "gpt",
"value": "The question asks for the length of $X Y$ and gives $\\tan m$. Since $\\tan \\theta=\\frac{\\text { opposite }}{\\text { adjacent }}$, plugging in the given information results in $\\sqrt{3}=\\frac{Y Z}{3}$. Multiply both sides by 3 to get $Y Z=3 \\sqrt{3}$. To find $X Y$, either use the Pythagorean Theorem, or note that since one leg is $\\sqrt{3}$ times another leg, this is a 30-60-90 right triangle, making the hypotenuse double the smaller leg. Therefore, $X Y=2 \\times 3=6$. The correct answer is 6 . So the answer is 6\nThe answer is 6"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083396.png | 083396 |
070930 | [
{
"from": "human",
"value": "<image>\nAccording to 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 trigonometric formula K=H/tan(theta) is applied, would the correct calculation for a height of 45 meters be K=45/tan(22 degrees) in this case?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Following the derived trigonometric formula where theta is 22 degrees, substituting H with 45 to find K results in K=45/tan(22 degrees), which is the correct application. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/070930.png | 070930 |
033604 | [
{
"from": "human",
"value": "<image>\nAccording to 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 end behavior of f(x) as x approaches negative infinity?\nChoices:\nA. Approaches positive infinity\nB. Approaches negative infinity\nC. Approaches zero\nD. Oscillates"
},
{
"from": "gpt",
"value": "The graph indicates that as x approaches negative infinity, f(x) continues to increase, approaching positive infinity. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033604.png | 033604 |
032507 | [
{
"from": "human",
"value": "<image>\nAccording to 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 type of function represented.\nChoices:\nA. Linear\nB. Quadratic\nC. Cubic\nD. Exponential"
},
{
"from": "gpt",
"value": "The image displays a function with a continuous, smooth curve that does not appear to have a constant slope, suggesting a non-linear behavior. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/032507.png | 032507 |
068780 | [
{
"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 triangles are colored differently compared to others?"
},
{
"from": "gpt",
"value": "Identify the different colored triangles among all triangles shown in the image. There are 3 uniquely colored blue triangles in a total of 12. So the answer is There are 3 uniquely colored blue triangles.\nThe answer is There are 3 uniquely colored blue triangles."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/068780.png | 068780 |
057216 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, calculate the total length of fence required to enclose the rectangle on all sides."
},
{
"from": "gpt",
"value": "As seen in the image, the rectangle has a length of 8 inches and a width of 4 inches. Total length of fence required is the perimeter, calculated as\n$$\n\\begin{aligned}\nP & = 2(l + w) \\\\\n& = 2(8 + 4) \\\\\n& = 2 \\times 12 \\\\\n& = 24 \\text{ inches}.\n\\end{aligned}\n$$ So the answer is 24\nThe answer is 24"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057216.png | 057216 |
028595 | [
{
"from": "human",
"value": "<image>\nAccording to 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 vertical position of the function g(x) where the cycle ends?\nChoices:\nA. 0\nB. 3\nC. -3\nD. 6"
},
{
"from": "gpt",
"value": "By comparison, a cycle of g(x) ends at (420 degrees,-3). So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028595.png | 028595 |
068288 | [
{
"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 decimal representation of the intersecting shaded areas of rows and columns?"
},
{
"from": "gpt",
"value": "By examining the grid in the image, it's noted that there are 8 shaded columns out of 10 and 7 shaded rows out of 10. Each column and row represents a tenth, which means 0.8 of the columns and 0.7 of the rows are shaded. Multiplying these gives the portion of the total grid area that is shaded by both rows and columns overlapping. So the answer is 0.56\nThe answer is 0.56"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/068288.png | 068288 |
086069 | [
{
"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 \\cos (x)$ So the answer is $y=-5 \\cos (x)$\nThe answer is $y=-5 \\cos (x)$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086069.png | 086069 |
079136 | [
{
"from": "human",
"value": "<image>\nAccording to 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 less than 53% of the shape colored purple?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The shape has 53 out of 100 sections colored purple, which directly counts as 53%, not less. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079136.png | 079136 |
022342 | [
{
"from": "human",
"value": "<image>\nAccording to 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 side of each face is halved, what becomes the new total surface area of the cube?\nChoices:\nA. 54 cm^2\nB. 108 cm^2\nC. 216 cm^2\nD. 324 cm^2"
},
{
"from": "gpt",
"value": "Halving the side of the cube results in each new side being 3 cm. Thus, total surface area will be 6*(3^2) = 6*9 = 54 cm^2. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/022342.png | 022342 |
082102 | [
{
"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 centroid of the region under the curve shown in Figure 15.6.6."
},
{
"from": "gpt",
"value": "To compute the centroid, we assume that the density function is constant and hence it cancels out:\n$$\n\\begin{gathered}\nx_c=\\frac{M_y}{m}=\\frac{\\iint_R x d A}{\\iint_R d A} \\text { and } y_c=\\frac{M_x}{m}=\\frac{\\iint_R y d A}{\\iint_R d A}, \\\\\nx_c=\\frac{M_y}{m}=\\frac{\\iint_R x d A}{\\iint_R d A}=\\frac{\\int_{x=1}^{x=3} \\int_{y=0}^{y=e^x} x d y d x}{\\int_{x=1}^{x=3} \\int_{y=0}^{y=e^x} d y d x}=\\frac{\\int_{x=1}^{x=3} x e^x d x}{\\int_{x=1}^{x=3} e^x d x}=\\frac{2 e^3}{e^3-e}=\\frac{2 e^2}{e^2-1}, \\\\\ny_c=\\frac{M_x}{m}=\\frac{\\iint_R y d A}{\\iint_R d A}=\\frac{\\int_{x=1}^{x=3} \\int_{y=0}^{y=e^x} y d y d x}{\\int_{x=1}^{x=3} \\int_{y=0}^{y=e^x} d y d x}=\\frac{\\int_{x=1}^{x=3} \\frac{e^{2 x}}{2} d x}{\\int_{x=1}^{x=3} e^x d x}=\\frac{\\frac{1}{4} e^2\\left(e^4-1\\right)}{e\\left(e^2-1\\right)}=\\frac{1}{4} e\\left(e^2+1\\right) .\n\\end{gathered}\n$$\n$$\n\\left(x_c, y_c\\right)=\\left(\\frac{2 e^2}{e^2-1}, \\frac{1}{4} e\\left(e^2+1\\right)\\right) .\n$$ So the answer is $\\left(\\frac{2 e^2}{e^2-1}, \\frac{1}{4} e\\left(e^2+1\\right)\\right)$\nThe answer is $\\left(\\frac{2 e^2}{e^2-1}, \\frac{1}{4} e\\left(e^2+1\\right)\\right)$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082102.png | 082102 |
059619 | [
{
"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 method to calculate average speed based on the distance Ben covered from 11 am to 1 pm."
},
{
"from": "gpt",
"value": "To find the average speed, one must divide the total distance traveled during a specific time interval by the duration of that interval. Given the image provides the distances at 11 am and 1 pm, these can be used alongside the time duration from the image to perform the calculation. So the answer is Average speed calculation = Distance traveled ÷ Duration\nThe answer is Average speed calculation = Distance traveled ÷ Duration"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059619.png | 059619 |
071419 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Will x equal 2 m if the right vertical sides are 7 m, 3 m, and the left side is still 12 m?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "When calculating x with the formula given in the analysis, where x=12-7-3, it results in x=2 m. Hence, the result is correct with these measurements, and x will indeed be 2 m. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/071419.png | 071419 |
017446 | [
{
"from": "human",
"value": "<image>\nAccording to 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 quadrilateral is shown?\nChoices:\nA. Square\nB. Rectangle\nC. Rhombus\nD. Trapezoid"
},
{
"from": "gpt",
"value": "Identify the characteristics of the quadrilateral displayed in the image, such as equal sides and right angles, to categorize its type. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017446.png | 017446 |
071894 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is angle ODC more than 30 degrees?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "As per the constructions where line PD is perpendicular to OD, angle ODE is 90 degrees. Subtracting 52 degrees from 90 degrees computes angle ODC as 38 degrees, which is indeed more than 30 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/071894.png | 071894 |
084891 | [
{
"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 this rectangle?"
},
{
"from": "gpt",
"value": "Look at the rectangle. Its length is 7 feet, and its width is 6 feet.\n$$\n6 \\mathrm{ft}\n$$\n\nSo, plug $\\ell=7$ and $w=6$ into the formula for the area of a rectangle.\n$$\n\\begin{aligned}\nA & =\\ell \\times w \\\\\n& =7 \\times 6 \\\\\n& =42\n\\end{aligned}\n$$\n\nThe length and width are measured in feet. So, the area is measured in square feet. The area of the rectangle is $\\mathbf{4 2}$ square feet. So the answer is 42\nThe answer is 42"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084891.png | 084891 |
017562 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many sides does shape PQRS have?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 6"
},
{
"from": "gpt",
"value": "As observed from the image, shape PQRS forms a quadrilateral, meaning it has four sides. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017562.png | 017562 |
064637 | [
{
"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 predominant age range among Facebook users?"
},
{
"from": "gpt",
"value": "Inspect the bar graph's tallest bar which indicates the age range with the highest percentage of Facebook users. So the answer is 15 to 25 years\nThe answer is 15 to 25 years"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/064637.png | 064637 |
060784 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, describe how the area changes as the width increases from 0 meters to 10 meters."
},
{
"from": "gpt",
"value": "Using the graph in the image, we observe the gradient or slope of the curve from width 0 meters to 10 meters, determining if the area increases or decreases within this range. So the answer is As the width increases from 0 to 10 meters, the area increases.\nThe answer is As the width increases from 0 to 10 meters, the area increases."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060784.png | 060784 |
080028 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Calculate the area of the sector shown below. Give your answer correct to four decimal places."
},
{
"from": "gpt",
"value": "The area of a circle of radius r is \\pi r^2. Then a sector of angle \\theta degrees has area \\frac{\\theta }{360}\\pi r^2.Here r=96.4 mm and \\theta =90 degrees.= \\frac{90}{360}\\pi \\times \\left(96.4\\right)^2 \\mathrm{mm}^2.Evaluate the expression, using a calculator or otherwise. Make sure to give your answer to four decimal places. \\n 7298.6737 \\mathrm{mm}^2 So the answer is 7298.6737 \\mathrm{mm}^2\nThe answer is 7298.6737 \\mathrm{mm}^2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080028.png | 080028 |
066789 | [
{
"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 value of $k$ given the function definitions present."
},
{
"from": "gpt",
"value": "The image includes details of functions $g(x)$ and $f(x)$, where it is given that $g(x) = f(x) + k$. For the specific value of $x$, the functions are evaluated, and solving for $k$ involves a simple rearrangement of this equation. For example, if $g(-4) = 2$ and $f(-4) = 4$, we can set up the equation $2 = 4 + k$. Solving for $k$ we get $k = 2 - 4 = -2$. This approach can be used for any values given for $x$ within the image. So the answer is $k = -2$\nThe answer is $k = -2$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/066789.png | 066789 |
016877 | [
{
"from": "human",
"value": "<image>\nAccording to 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 HIJ is scaled by 2, what would be the ratio of HIJ's sides to VUT's?\nChoices:\nA. 2.5\nB. 5\nC. 10\nD. 20"
},
{
"from": "gpt",
"value": "Scaling HIJ by 2 effectively doubles the side lengths, which increases the scale factor between HIJ and VUT from the original 5 to 10. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016877.png | 016877 |
075071 | [
{
"from": "human",
"value": "<image>\nAccording to 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 modifying the frequency of a sinusoidal function alter its period?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Changing the frequency of a sinusoidal function inversely alters its period because period $T$ is given by $T = \\frac{2\\pi}{\\omega}$, where $\\omega$ is the angular frequency. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075071.png | 075071 |
079540 | [
{
"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 of the sides represented by $\\sin \\theta$."
},
{
"from": "gpt",
"value": "In right-angled triangles, recall that the sine of an angle is equal to the ratio of the side length opposite that angle and the length of the hypotenuse.\n\nThat is, $\\sin \\theta=\\frac{\\text { Opposite }}{\\text { Hypotenuse }}$\n\n$\\sin \\theta=\\frac{A C}{A B}$ So the answer is $\\sin \\theta=\\frac{A C}{A B}$\nThe answer is $\\sin \\theta=\\frac{A C}{A B}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079540.png | 079540 |
073035 | [
{
"from": "human",
"value": "<image>\nAccording to 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 perimeter of a smaller triangle is 1, then would the perimeter of the whole large triangle be 2?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Given that the perimeter of each smaller triangle is 1, each side of the smaller triangle equals 1/3 making the entire perimeter 1. Therefore, for the large triangle which consists of twice the number of sides, the perimeter becomes 2 (Multiplying 1 by 6 based on the sides of the larger triangle). Hence, the perimeter of the entire large triangle is 2. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073035.png | 073035 |
084069 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Calculate the area of the sector.\n\nRound your answer to two decimal places."
},
{
"from": "gpt",
"value": "The area of the sector is given by the fraction of the circle the sector covers, multiplied by the total area of the circle:\n\n\\text{Area of a sector}=\\left(\\frac{\\theta }{360^\\circ }\\right)\\times \\left(\\pi r^2\\right)\n\nSubstitute \\theta =300^\\circ and r=6.6 into the formula.\n\nArea = \\frac{300^\\circ }{360^\\circ }\\times \\pi \\times \\left(6.6\\right)^2 \\mathrm{cm}^2\n\nEvaluate the expression using your calculator.\n\nRemember to give your answer to two decimal places. /n 114.04 \\mathrm{cm}^2 So the answer is 114.04 \\mathrm{cm}^2\nThe answer is 114.04 \\mathrm{cm}^2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084069.png | 084069 |
001973 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, if angle $\\theta$ is 45 degrees in Figure 5, what type of triangle is it?\nChoices:\nA. Acute triangle\nB. Isosceles triangle\nC. Equilateral triangle"
},
{
"from": "gpt",
"value": "A triangle with one angle as 45 degrees and another as 90 degrees in Figure 5 has special properties, including two equal sides. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/001973.png | 001973 |
069940 | [
{
"from": "human",
"value": "<image>\nAccording to 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 compass bearing from R to P exactly 90 degrees according to the analysis?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The compass bearing is N 23.5° E which indicates an angle of 23.5° eastward from the north, clearly not 90°. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/069940.png | 069940 |
051775 | [
{
"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 length of side BC in the triangle."
},
{
"from": "gpt",
"value": "Using the tangent ratio as indicated in the analysis, the length of side BC can be calculated with the equation: \\[ \\tan 16^\\circ = \\frac{2000}{BC} \\]. Multiply both sides by BC to isolate it on one side of the equation: \\[ BC = \\frac{2000}{\\tan 16^\\circ} \\]. Use a calculator to solve for BC and round to the nearest meter. So the answer is 6975\nThe answer is 6975"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/051775.png | 051775 |
060938 | [
{
"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 location of the intersection that is immediately apparent for the plotted parabola and line?"
},
{
"from": "gpt",
"value": "In the graph depicted, there is an intersection point between the plotted curve $y = 4x^2 - 1$ and the straight line $3x - y = 1$. This intersection can be seen visually based on the grid layout on the graph. So the answer is (0, -1)\nThe answer is (0, -1)"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060938.png | 060938 |
085255 | [
{
"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 following cube with a side length equal to 6 cm. Find the total surface area."
},
{
"from": "gpt",
"value": "A cube has 6 identical faces. Each face is a square, which has an area equal to side length ${ }^{2}$.\n\nThe total surface area of the cube is sum of the areas of its faces.\n\nThe total surface area of a cube is $6 \\times$ side length $^{2}$. What is the side length of this cube?\n\nSurface Area $=6 \\times(6)^{2} \\mathrm{~cm}^{2}$\n\nRemember that $x^{2}=x \\times x$. Use this to evaluate the square.\n\nSurface Area $=6 \\times 36 \\mathrm{~cm}^{2}$\n\nEvaluate the expression using a calculator if necessary.\n\nSurface Area $=216 \\mathrm{~cm}^{2}$ So the answer is Surface Area $=216 \\mathrm{~cm}^{2}$\nThe answer is Surface Area $=216 \\mathrm{~cm}^{2}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085255.png | 085255 |
074484 | [
{
"from": "human",
"value": "<image>\nAccording to 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 calculated total surface area of 20 correct?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Based on the calculation of the individual face areas, their sums resulted in $2 + 2 + 2 + 2 + 4 + 4 = 16$, not 20. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074484.png | 074484 |
059124 | [
{
"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 cubic inches are there per cubic foot in the context of this mechanical part?"
},
{
"from": "gpt",
"value": "The conversion from cubic inches to cubic feet is a standard calculation that can be applied here to relate the measurements provided in the image to larger scale volume measurements. So the answer is 1728 cubic inches per cubic foot\nThe answer is 1728 cubic inches per cubic foot"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059124.png | 059124 |
086635 | [
{
"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: Slumber World mattress store also sells electric blankets. This scatter plot shows the evening temperatures and the electric blanket sales on several Sundays last winter.\nWhat was the evening temperature on the day with the highest sales?"
},
{
"from": "gpt",
"value": "Each point on the scatter plot stands for a day. The $x$-coordinate tells you the evening temperature, and the $y$-coordinate tells you the day's electric blanket sales.\n\nFind the point that has the largest $y$-coordinate. This point stands for the day with the highest sales.\nElectric blankets\n\nNext, find the point's $x$-coordinate. This tells you the evening temperature.\nElectric blankets\n\nThe point's $x$-coordinate is 15 , so the evening temperature was $15^{\\circ} \\mathrm{F}$ on the day with the highest sales. So the answer is 15\nThe answer is 15"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086635.png | 086635 |
055099 | [
{
"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 any angle in triangle EGH obtuse?"
},
{
"from": "gpt",
"value": "From the analysis, it is noted that triangle EGH is equilateral, so all angles are 60 degrees, which is less than 90 degrees, the measure of an obtuse angle. So the answer is No\nThe answer is No"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055099.png | 055099 |
016260 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what type of triangle is shown?\nChoices:\nA. Right triangle\nB. Isosceles triangle\nC. Equilateral triangle"
},
{
"from": "gpt",
"value": "Analyze the angle measures and side lengths depicted in the image to determine the type of triangle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016260.png | 016260 |
067091 | [
{
"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 rate of increase of the investment's value each year?"
},
{
"from": "gpt",
"value": "The rate of increase can be observed by the slope of the line connecting the points in consecutive years on the graph. This rate tells us how much the investment increases each year. So the answer is The rate of increase per year is determined by the difference $V_{n+1} - V_n$ where $n$ and $n+1$ are consecutive years.\nThe answer is The rate of increase per year is determined by the difference $V_{n+1} - V_n$ where $n$ and $n+1$ are consecutive years."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/067091.png | 067091 |
034156 | [
{
"from": "human",
"value": "<image>\nAccording to 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's limit is calculated as $x$ tends to zero from the negative side in the demonstrated equation?\nChoices:\nA. sin x\nB. $\\tan^{-1} x$\nC. $\\tan^{-1} \\left(\\frac{1}{x}\\right)$\nD. cos x"
},
{
"from": "gpt",
"value": "The specific function whose limit is being calculated as $x$ approaches zero from the left must be distinguished. The illustrated equation in the image provides a crucial hint. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/034156.png | 034156 |
085365 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: The graph represents Yvonne's distance from home over a 9 minute interval.How many minutes into her journey was she when she left home?"
},
{
"from": "gpt",
"value": "Leaving home is shown by the distance from home increasing. \n 2 minute(s) So the answer is 2 minute(s)\nThe answer is 2 minute(s)"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085365.png | 085365 |
034829 | [
{
"from": "human",
"value": "<image>\nAccording to 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 integral transformed?\nChoices:\nA. Using limits 0 to 1 with new variables\nB. Applying the Jacobian to variables u and v\nC. Direct integration without transformation\nD. Integrate with respect to x and y directly"
},
{
"from": "gpt",
"value": "The transformation applied included utilizing the Jacobian to convert the integral from the x and y coordinates to the u and v coordinates, specific over their respective new limits. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/034829.png | 034829 |
025603 | [
{
"from": "human",
"value": "<image>\nAccording to 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 is increasing faster at x=3?\nChoices:\nA. $y=4^x$\nB. $y=(\\frac{1}{4})^x$\nC. Both increase at the same rate\nD. Neither increase"
},
{
"from": "gpt",
"value": "Based on table values and curve steepness, $y=4^x$ is increasing faster at x=3 as its exponential growth far exceeds the decay rate of $y=(\\frac{1}{4})^x$ at the same $x$ value. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/025603.png | 025603 |
059121 | [
{
"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 calculated total volume of the mechanical part?"
},
{
"from": "gpt",
"value": "The total volume of the mechanical part is the volume of a larger cylinder minus the volume of a smaller cylinder inside it, based on the dimensions given in the image. After calculating these volumes in cubic inches, the result gives the total volume of the part. So the answer is 54 π cubic inches\nThe answer is 54 π cubic inches"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059121.png | 059121 |
079328 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is the number 24 containing the digit 2?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The number 24 is formed by selecting cards and the digit 2 is present as the first digit. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079328.png | 079328 |
069680 | [
{
"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 area of the water surface inside the conical container at any time $t$."
},
{
"from": "gpt",
"value": "Given that the rate of increase in the radius $r$ of the water surface is $7 \\mathrm{~cm} / \\mathrm{s}$, we relate this to time $t$ as $r = 7t$. The area $A$ of a circle (which is the shape of the water surface) is given by $A = \\pi r^2$. Substituting $r = 7t$ into $A$, we get $A = \\pi (7t)^2 = 49\\pi t^2$, which represents the area of the water surface in terms of time $t$. So the answer is 49 \\pi t^2\nThe answer is 49 \\pi t^2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/069680.png | 069680 |
058385 | [
{
"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 sum of the dimensions after adjusting for maximum rounding error?"
},
{
"from": "gpt",
"value": "By adding 0.5 to each dimension shown in the image, we can calculate the sum of the maximum possible dimensions. This involves simple addition of the three dimensions after their respective adjustments, representing a scenario where each measurement is rounded up from its maximum decimal. So the answer is 69.5\nThe answer is 69.5"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/058385.png | 058385 |
068226 | [
{
"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 squares in total are there compared to those shaded blue?"
},
{
"from": "gpt",
"value": "Count the total number of squares in the diagram and the number of squares that are shaded blue. Divide the two to get the ratio and express this ratio as a fraction or a decimal. So the answer is 0.81\nThe answer is 0.81"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/068226.png | 068226 |
073114 | [
{
"from": "human",
"value": "<image>\nAccording to 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 that two angles formed by a transversal cutting through parallel lines must together equal 180 degrees, with one being known as 135 degrees, does this make x equal 45?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Applying the rule that adjacent angles on a straight path defined by a transversal across parallel lines are supplementary, and with one angle given as 135 degrees, x evaluates to 180 degrees - 135 degrees = 45 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073114.png | 073114 |
056068 | [
{
"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 volume is given as 4π cubic feet, what operation would you perform to find the radius?"
},
{
"from": "gpt",
"value": "Given the volume formula $V = \\pi r^2 h$ and knowing $V=4\\pi$, you solve $4\\pi = \\pi r^2 \\times 4$ where the height appears to be 4 feet, to isolate $r^2$ by dividing both sides by $4\\pi$ yielding $r^2 = 1$. So the answer is Divide the volume by $4\\pi$ and solve for $r^2$\nThe answer is Divide the volume by $4\\pi$ and solve for $r^2$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056068.png | 056068 |
021703 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, calculate the volume of the cuboid.\nChoices:\nA. 1500 cm^3\nB. 1690 cm^3\nC. 1800 cm^3\nD. 2000 cm^3"
},
{
"from": "gpt",
"value": "To find the volume of a cuboid, use the formula: Volume = length x width x height. From the given measurements: length = 13 cm, width = 13 cm, and height = 10 cm. Thus, Volume = 13 x 13 x 10 = 1690 cm^3. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/021703.png | 021703 |
047567 | [
{
"from": "human",
"value": "<image>\nAccording to 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 accurate is the speedometer?\nChoices:\nA. 1 km/h\nB. 5 km/h\nC. 10 km/h\nD. 20 km/h"
},
{
"from": "gpt",
"value": "The speedometer shown in the image gives speeds to the nearest 10 km/h since the markings on the speedometer are at each 10 km/h increment. Therefore, it has an absolute error of 5 km/h So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/047567.png | 047567 |
081490 | [
{
"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 temperature of the room after the heater has been turned on for 40 minutes."
},
{
"from": "gpt",
"value": "Substitute $x=40$ into $y=\\frac{1}{5} x+1$.\n\nTemperature $=\\frac{1}{5} \\times 40+1$ degrees\n\nEvaluate the product.\n\nTemperature $=8+1$ degrees\n\nEvaluate.\n\nTemperature $=9$ degrees So the answer is Temperature $=9$ degrees\nThe answer is Temperature $=9$ degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081490.png | 081490 |
001471 | [
{
"from": "human",
"value": "<image>\nAccording to 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 property or theorem justifies that °ODE is a right angle?\nChoices:\nA. Tangent-radius theorem\nB. Pythagorean theorem\nC. Interior Angles of Triangle\nD. None"
},
{
"from": "gpt",
"value": "The tangent-radius theorem states that a tangent at any point of a circle is perpendicular to the radius at the point of tangency, thus making °ODE a right angle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/001471.png | 001471 |
012377 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many sides does the polygon have?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 6\nE. 7"
},
{
"from": "gpt",
"value": "Counting the visible sides of the polygon shown in the image. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/012377.png | 012377 |
080442 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: What is the area of quadrilateral PMRN?\nChoices:\nA. 8\nB. 10\nC. 12\nD. 14\nE. 16"
},
{
"from": "gpt",
"value": "Since the square has sides of length 4 , its area is 16 . Now, the area of the shaded region appears to be half that of the square. Hence, its area is 8 . The answer is 8. So the answer is A\nAnswer: 8"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080442.png | 080442 |
047118 | [
{
"from": "human",
"value": "<image>\nAccording to 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 are shaded blue?\nChoices:\nA. 5\nB. 7\nC. 10\nD. 12\nE. 15"
},
{
"from": "gpt",
"value": "To find the number of blue squares, we need to count the squares in the grid that are shaded blue. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/047118.png | 047118 |
044424 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how does the particle count in the 0-10 micrometer range compare to the 31-40 micrometer range?\nChoices:\nA. Less\nB. More\nC. Equal\nD. Cannot be determined from the image"
},
{
"from": "gpt",
"value": "Comparing the percentages mapped to these size ranges on the histogram will reveal the relative counts. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/044424.png | 044424 |
030781 | [
{
"from": "human",
"value": "<image>\nAccording to 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 value of $x$ would make $y=32$?\nChoices:\nA. 2\nB. 4\nC. 5\nD. 6"
},
{
"from": "gpt",
"value": "From the equation $y=2^{x}$, solving for $x$ when $y=32$: $2^{x} = 32$, thus $x = 5$. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/030781.png | 030781 |
085679 | [
{
"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 following graph of a line.\n\nWhat is the $y$ value of the $y$-intercept of the line shown in the graph?"
},
{
"from": "gpt",
"value": "The $y$-intercept is the point where the line cuts the $y$-axis.\n\nWrite down the value of $y$ when this occurs.\n\nValue $=2$ So the answer is Value $=2$\nThe answer is Value $=2$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085679.png | 085679 |
009980 | [
{
"from": "human",
"value": "<image>\nAccording to 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 m angle D O C the external angle of triangle DOC?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "From the given information, we do not know whether D O C is a triangle in the image. Therefore, we cannot conclude whether m angle D O C is the external angle of the triangle DOC. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/009980.png | 009980 |
080415 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Which of the following could be the lengths of $AD$ and $DC$, respectively? (I) $\\sqrt{3}$ and $\\sqrt{4}$ (II) 4 and 6 (III) 1 and $\\sqrt{24}$ (IV) 1 and $\\sqrt{26}$\nChoices:\nA. I and II only\nB. II and III only\nC. III and IV only\nD. IV and I only\nE. I, II and III only"
},
{
"from": "gpt",
"value": "From the figure, we have that $\\angle B$ is a right angle in $\\triangle A B C$. Applying The Pythagorean Theorem to the triangle yields $A C^2=A B^2+B C^2=4^2+3^2=25$. Hence, $A C=\\sqrt{25}=5$.\n\nNow, we are given that $\\triangle A D C$ is a right-angled triangle. But, we are not given which one of the three angles of the triangle is right-angled. We have two possibilities: either the common side of the two triangles, $A C$, is the hypotenuse of the triangle, or it is not.\n\nIn the case $A C$ is the hypotenuse of the triangle, we have by The Pythagorean Theorem,\n$$\n\\begin{aligned}\n& A C^2=A D^2+D C^2 \\\\\n& 5^2=A D^2+D C^2\n\\end{aligned}\n$$\n\nThis equation is satisfied by III since $5^2=1^2+(\\sqrt{24})^2$. Hence, III is possible.\nIn the case $A C$ is not the hypotenuse of the triangle and, say, $D C$ is the hypotenuse, then by applying The Pythagorean Theorem to the triangle, we have\n$$\n\\begin{aligned}\n& A D^2+A C^2=D C^2 \\\\\n& A D^2+5^2=D C^2\n\\end{aligned}\n$$\n\nThis equation is satisfied by IV: $5^2+1^2=(\\sqrt{26})^2$.\nHence, we conclude that III and IV are possible. The two are available in choice III and IV only. Hence, the answer is III and IV only. So the answer is C\nAnswer: III and IV only"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080415.png | 080415 |
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