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stringlengths 6
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049132 | [
{
"from": "human",
"value": "<image>\nAccording to 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 'a' in the parabola equation $y = ax^2$ to ensure it describes the satellite dish's depth at its outer edge?\nChoices:\nA. 1/120\nB. 1/12\nC. 1/36\nD. 1/6"
},
{
"from": "gpt",
"value": "Given the depth at the maximum radius from the center or vertex, substituting in the values where $x=6$ feet and $y=3$ feet into $y=ax^2$ gives $3=36a$, leading to $a=1/12$. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/049132.png | 049132 |
046071 | [
{
"from": "human",
"value": "<image>\nAccording to 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 mathematical figure is depicted?\nChoices:\nA. Triangle\nB. Circle\nC. Square\nD. Rectangle"
},
{
"from": "gpt",
"value": "The shape in the image has three sides, which indicates that it is a three-sided polygon, commonly recognized as a triangle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/046071.png | 046071 |
063151 | [
{
"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 feature of the graph affect its classification?"
},
{
"from": "gpt",
"value": "The presence of a pole affects the classification by disqualifying it as a polynomial, as polynomial functions do not exhibit such features. So the answer is The pole disqualifies the graph from being classified as a polynomial.\nThe answer is The pole disqualifies the graph from being classified as a polynomial."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063151.png | 063151 |
061018 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what are the coordinates of the vertex of the hyperbola?"
},
{
"from": "gpt",
"value": "The coordinates of the vertex $V$ are given directly in the problem as $V(1.2, 0)$. So the answer is The coordinates of the vertex are $(1.2, 0)$\nThe answer is The coordinates of the vertex are $(1.2, 0)$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061018.png | 061018 |
012601 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what property of the sides $AB$ and $DC$ allows calculation of quadrilateral $EBFD$'s area?\nChoices:\nA. Parallelism\nB. Perpendicularity\nC. Equality\nD. Non-collinearity"
},
{
"from": "gpt",
"value": "The calculation of the quadrilateral’s area in the analysis depends on understanding that sides $AB$ and $DC$ are opposite and equal, which directly impacts the area formulas used. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/012601.png | 012601 |
026160 | [
{
"from": "human",
"value": "<image>\nAccording to 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 horizontal distance does the highlighted segment measure?\nChoices:\nA. 2 meters\nB. 4 meters\nC. 6 meters\nD. 8 meters"
},
{
"from": "gpt",
"value": "The segment which is highlighted indicates a specific part of the carousel's path. Verifying the distance that this segment spans from the graph's scale and labels will give a measure of distance. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/026160.png | 026160 |
002190 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, are the triangles shown similar by AA (Angle-Angle) similarity criterion?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "To determine if two triangles are similar by the AA criterion, two corresponding angles in both triangles need to be congruent. Check whether the two corresponding angles of the triangles within the image are congruent. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/002190.png | 002190 |
074267 | [
{
"from": "human",
"value": "<image>\nAccording to 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 Pythagoras' theorem confirm the height of the cone as 9.20 cm when c=13.7 and a=9.1?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The height calculated using Pythagoras' Theorem with given values c=13.7 and a=9.1 results in sqrt(104.88) cm which is approximately 10.24 cm, not 9.20 cm. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074267.png | 074267 |
020064 | [
{
"from": "human",
"value": "<image>\nAccording to 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 face of the rectangular prism is the cylinder attached to?\nChoices:\nA. Top face\nB. Side face\nC. Bottom face\nD. Front face"
},
{
"from": "gpt",
"value": "The solid consists of a cylinder attached to a rectangular prism on one of its faces. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/020064.png | 020064 |
059373 | [
{
"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 long is each side of the depicted geometric shape?"
},
{
"from": "gpt",
"value": "The image shows a square where each side is equal. Using one of the sides visibly measured as 8.9 cm, the length of each side of the square is 8.9 cm. So the answer is 8.9 centimeters\nThe answer is 8.9 centimeters"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059373.png | 059373 |
057161 | [
{
"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 theorem proves that RS and ST are congruent?"
},
{
"from": "gpt",
"value": "The Perpendicular Bisector Theorem is applicable here as shown in the image. Since SU acts as the perpendicular bisector of RT, and the sides RU and TU are equal, it establishes that RS and ST are congruent by this theorem. So the answer is Perpendicular Bisector Theorem\nThe answer is Perpendicular Bisector Theorem"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057161.png | 057161 |
080709 | [
{
"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 semicircle's area? Use $\\pi \\approx 3.14$ and round your answer to the nearest hundredth."
},
{
"from": "gpt",
"value": "The radius is 4 kilometers. Replace $r$ by 4 in the formula.\n$$\n\\begin{aligned}\nA & =\\frac{\\pi r^2}{2} \\\\\n& \\approx \\frac{3.14 \\cdot 4^2}{2} \\\\\n& \\approx \\frac{3.14 \\cdot 16}{2} \\\\\n& \\approx 25.12\n\\end{aligned}\n$$\n\nThe area is about 25.12 square kilometers. So the answer is 25.12\nThe answer is 25.12"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080709.png | 080709 |
063541 | [
{
"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, specify the limit value of f(x) as x is approaching the value 3."
},
{
"from": "gpt",
"value": "The visual representation on the graph points out a convergence towards a certain y-value as x nears 3, which represents the limit of the function at x = 3. So the answer is 4\nThe answer is 4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063541.png | 063541 |
053436 | [
{
"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 all sides if one side is 4 m."
},
{
"from": "gpt",
"value": "As the image depicts a regular pentagon, each of the 5 sides is equal in length. Thus, multiplying the length of one side by the number of sides gives the total length. Total length = 5 x 4 m = 20 m. So the answer is Total length = 20 m\nThe answer is Total length = 20 m"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053436.png | 053436 |
013169 | [
{
"from": "human",
"value": "<image>\nAccording to 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 AB = 4 and AD = 3, what is the length of BD?\nChoices:\nA. 5\nB. 6\nC. 7\nD. 8\nE. 9"
},
{
"from": "gpt",
"value": "Applying The Pythagorean Theorem to the right triangle $ABD$ yields $BD^{2}=AB^{2}+AD^{2}=4^{2}+3^{2}=16+9=25$. By square rooting, we get $BD=√25=5$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/013169.png | 013169 |
070106 | [
{
"from": "human",
"value": "<image>\nAccording to 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 angle formed at B by AV and OB 90 degrees? Explain.\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since AV is a tangent to the circle and OB is a radius that meets the tangent at point B, the angle formed between a tangent and a radius at the point of contact is always 90 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/070106.png | 070106 |
017176 | [
{
"from": "human",
"value": "<image>\nAccording to 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 RS is doubled, what happens to the length of QT?\nChoices:\nA. QT remains the same\nB. QT is doubled\nC. QT is halved\nD. QT increases but not doubled"
},
{
"from": "gpt",
"value": "If RS is doubled while UV remains constant, then the sum of RS and UV increases, leading to an increase in QT as well. According to midsegment formula, QT will not be doubled but will certainly increase. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017176.png | 017176 |
055263 | [
{
"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 relationship between angle B and angle D."
},
{
"from": "gpt",
"value": "In triangle ABD, the angle at vertex B is depicted as 31 degrees, while the angle at vertex D is shown as 30 degrees in the diagram. As per the properties of triangles, the side opposite the larger angle is longer. Hence, angle B is greater than angle D. So the answer is angle B > angle D\nThe answer is angle B > angle D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055263.png | 055263 |
049136 | [
{
"from": "human",
"value": "<image>\nAccording to 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 dimension represents the parabola's width at the dish's surface?\nChoices:\nA. 3 feet\nB. 6 feet\nC. 12 feet\nD. 18 feet"
},
{
"from": "gpt",
"value": "The dimension of the width of the satellite dish is taken as the diameter which is 12 feet wide since it spans from one side of the parabolic edge to the other, directly across. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/049136.png | 049136 |
080227 | [
{
"from": "human",
"value": "<image>\nAccording to 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 measure of $\\angle BCA$ in terms of $a$?\nChoices:\nA. $180-a$\nB. $2 a-180$\nC. $180-2a$\nD. $2 a-90$"
},
{
"from": "gpt",
"value": "$\\begin{array}{ll}m \\angle B A C=m \\angle D A B & \\text { Definition of } \\angle \\text { bisector } \\\\ m \\angle B A C=a & m \\angle D A B=a \\\\ \\text { Since straight angles measure } 180, \\\\ m \\angle D A E+m \\angle D A B+m \\angle B A C=180 . \\\\ m \\angle D A E+a+a=180 & m \\angle D A B=m \\angle B A C=a \\\\ m \\angle D A E=180-2 a & \\text { Subtract } 2 a . \\\\ m \\angle B C A=m \\angle D A E & \\text { If } D A \\| B C, \\text { corresponding } \\\\ m \\angle B C A=180-2 a & \\angle s \\text { are } \\cong . \\\\ m \\angle D A E=180-2 a\\end{array}$ So the answer is C\nAnswer: $180-2a$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080227.png | 080227 |
080050 | [
{
"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, rounding your answer to two 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.\n\nHere r=23.5cm and \\theta =287°.\n\nArea = \\frac{287}{360}\\pi \\times \\left(23.5\\right)^2 \\mathrm{cm}^2\n\nCan \\frac{287}{360} be simplified?\n\nEvaluate \\left(23.5\\right)^2.\n\nArea = \\frac{287}{360}\\pi \\times 552.25\\mathrm{cm}^2\n\nEvaluate the expression, using a calculator or otherwise.\n\nRemember to round your answer to two decimal places. \\n 1383.14 \\mathrm{cm}^2 So the answer is 1383.14 \\mathrm{mm}^2\nThe answer is 1383.14 \\mathrm{mm}^2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080050.png | 080050 |
074576 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Did Ben start traveling at 8 am?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Based on the data presented, Ben's journey began at 9 am, when his distance started to increase from 0, which means he did not start at 8 am. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074576.png | 074576 |
026411 | [
{
"from": "human",
"value": "<image>\nAccording to 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 side corresponds to the base of the triangle?\nChoices:\nA. Side $a$\nB. Side $b$\nC. Hypotenuse\nD. None"
},
{
"from": "gpt",
"value": "From the orientation of the right triangle in the image, the base is typically the side lying horizontally, which is identified during a geometric analysis involving the angle placements. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/026411.png | 026411 |
077210 | [
{
"from": "human",
"value": "<image>\nAccording to 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 every additional hour lead to a proportional increase in water level on the flooded road?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The monitoring indicates a uniform rise in water level with each hour passing, showing a proportionality between the water level and the number of hours passed since the rainfall started. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/077210.png | 077210 |
038111 | [
{
"from": "human",
"value": "<image>\nAccording to 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 score contributed by the students who answered the second question correctly?\nChoices:\nA. 4000 points\nB. 6000 points\nC. 7600 points\nD. 8500 points"
},
{
"from": "gpt",
"value": "The number of students who solved the second question, multiplied by the points per question (25), gives the total points for the second question. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038111.png | 038111 |
005119 | [
{
"from": "human",
"value": "<image>\nAccording to 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 side of the triangle represents the height of the pole?\nChoices:\nA. hypotenuse\nB. opposite\nC. adjacent\nD. none"
},
{
"from": "gpt",
"value": "In the given scenario with the man standing at point A and looking at the top of a pole, the height of the pole is directly opposite the angle of elevation at point A. This makes it the opposite side in the tangent ratio used to find the distance x. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/005119.png | 005119 |
025741 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the range of the parabola y=5x^2-5?\nChoices:\nA. y ≥ -5\nB. y ≤ -5\nC. y ≥ 5\nD. y ≤ 5"
},
{
"from": "gpt",
"value": "The vertex being the lowest point at y=-5 indicates the range is y ≥ -5. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/025741.png | 025741 |
009251 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, where would you utilize the measurements 8 cm, 6 cm, 14 cm, and 8.49 cm?\nChoices:\nA. Determining center point\nB. Calculating perimeter\nC. Estimating volume\nD. Measuring area"
},
{
"from": "gpt",
"value": "The listed measurements for a trapezium are most logically applied in calculating its perimeter, as they present each of the side lengths of the shape. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/009251.png | 009251 |
079765 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Determine the true bearing of point A from O.\nChoices:\nA. 325^\\circ T\nB. 035^\\circ T\nC. 35^\\circ T\nD. 55^\\circ T\nE. 055^\\circ T\nF. 125^\\circ T"
},
{
"from": "gpt",
"value": "A true bearing is measured clockwise from North, and is always given using three digits.\n\nSo from position O, if we start facing North, how many degrees do we need to turn clockwise to be facing point A? Make sure your chosen answer has three digits. \\n 035^\\circ T So the answer is B\nAnswer: 035^\\circ T"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079765.png | 079765 |
033110 | [
{
"from": "human",
"value": "<image>\nAccording to 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 is NOT true about George's travel over the five-hour period?\nChoices:\nA. George's distance from home increased at a constant rate during the first hour.\nB. George's maximum distance from home occurred within the first hour.\nC. George maintained a constant distance from home for an entire hour.\nD. George spent more time moving away from home than moving towards it."
},
{
"from": "gpt",
"value": "The question requires analyzing George's distance from home over time as shown in the graph. To find what is NOT true, each statement must be assessed with the graph's data. For instance, a constant rate of distance increase would show as a straight line, maximum distance is indicated by the highest point on the graph, a constant distance would be a horizontal line segment, and comparing time moving away versus towards home involves calculating time intervals where the distance increases versus decreases. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033110.png | 033110 |
056410 | [
{
"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 deficit to reach $180^\\circ$ when two angles of the triangle are provided as $127^\\circ$ and $27^\\circ$."
},
{
"from": "gpt",
"value": "Given two angles are $127^\\circ$ and $27^\\circ$, their sum is $154^\\circ$. The deficit to $180^\\circ$ would be: \n$$\n\\begin{aligned}\n180^\\circ - 154^\\circ = 26^\\circ\n\\end{aligned}\n$$ So the answer is 26 degrees\nThe answer is 26 degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056410.png | 056410 |
003521 | [
{
"from": "human",
"value": "<image>\nAccording to 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 two chords when the corresponding central angles are the same?\nChoices:\nA. Congruent\nB. Parallel\nC. Adjacent\nD. Perpendicular"
},
{
"from": "gpt",
"value": "If two angles at the center of a circle are equal, then the chords subtending these angles must also be of equal length. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/003521.png | 003521 |
027388 | [
{
"from": "human",
"value": "<image>\nAccording to 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 general orientation of the asymptote intersecting point Q?\nChoices:\nA. Horizontal\nB. Vertical\nC. Slanted\nD. Curved"
},
{
"from": "gpt",
"value": "The asymptote is a straight line that passes through an origin, indicating a linear and slanted orientation as it crosses through the given point Q. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/027388.png | 027388 |
048550 | [
{
"from": "human",
"value": "<image>\nAccording to 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 sections contain a number less than 3?\nChoices:\nA. 1\nB. 2\nC. 3"
},
{
"from": "gpt",
"value": "The spinner, as shown, includes numbers from 2 to 5. Only the segment with the number 2 has a value less than 3. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/048550.png | 048550 |
073375 | [
{
"from": "human",
"value": "<image>\nAccording to 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 sine of angle E equal to 0.861538?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Based on the calculation, sine of angle E is determined by dividing the opposite side length, DF, by the hypotenuse, EF, which are 56 and 65 respectively. Thus, sin(E) = 56 / 65 = 0.861538. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073375.png | 073375 |
072663 | [
{
"from": "human",
"value": "<image>\nAccording to 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 measure of angle g be less than 130 degrees?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since angle g equals angle d, which is explicitly given as 130 degrees, it can't be less than this measure. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072663.png | 072663 |
006776 | [
{
"from": "human",
"value": "<image>\nAccording to 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 axes of symmetry does the triangle have?\nChoices:\nA. 1\nB. 2\nC. 3\nD. 0"
},
{
"from": "gpt",
"value": "An equilateral triangle has three axes of symmetry, one for each line drawn from a vertex perpendicular to the opposite side. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/006776.png | 006776 |
007182 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the slope of the line that would be perpendicular to the hypotenuse of the triangle?\nChoices:\nA. The negative reciprocal of the slope of the hypotenuse.\nB. The same as the slope of the hypotenuse.\nC. Zero.\nD. Undefined."
},
{
"from": "gpt",
"value": "A line perpendicular to another has a slope that is the negative reciprocal of the original line's slope. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/007182.png | 007182 |
080962 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Evaluate \\(\\iiint_E x^2+y^2 d V\\) where \\(E\\) is the region portion with \\(y \\geq 0\\)."
},
{
"from": "gpt",
"value": "Now, since we are integrating over a portion of a sphere it makes sense to use spherical coordinate for the integral and the limits are,\n$$\n\\begin{aligned}\n& 0 \\leq \\varphi \\leq \\pi \\\\\n& 0 \\leq \\theta \\leq \\pi \\\\\n& 0 \\leq \\rho \\leq 2\n\\end{aligned}\n$$\n\nRemember that $\\varphi$ is the angle from the positive $z$-axis that we rotate through as we cover the region and $\\theta$ is the angle we rotate around the $z$-axis as we cover the region.\n\nIn this case we have only the portion of the sphere with $y \\geq 0$ and so $\\theta$ will range from 0 to $\\pi$ (remember that we measure $\\theta$ from the positive $x$-axis). Because we want the full half of the sphere with $y \\geq 0$ we know that $\\varphi$ will range from 0 to $\\pi$.\n\nPlugging these limits into the integral and converting to spherical coordinates gives,\n$$\n\\begin{aligned}\n\\iiint_E x^2+y^2 d V & =\\int_0^\\pi \\int_0^\\pi \\int_0^2\\left[(\\rho \\sin \\varphi \\cos \\theta)^2+(\\rho \\sin \\varphi \\sin \\theta)^2\\right]\\left(\\rho^2 \\sin \\varphi\\right) d \\rho d \\theta d \\varphi \\\\\n& =\\int_0^\\pi \\int_0^\\pi \\int_0^2\\left[\\rho^2 \\sin ^2 \\varphi \\cos ^2 \\theta+\\rho^2 \\sin ^2 \\varphi \\sin ^2 \\theta\\right]\\left(\\rho^2 \\sin \\varphi\\right) d \\rho d \\theta d \\varphi \\\\\n& =\\int_0^\\pi \\int_0^\\pi \\int_0^2\\left[\\rho^2 \\sin ^2 \\varphi\\left(\\cos ^2 \\theta+\\sin ^2 \\theta\\right)\\right]\\left(\\rho^2 \\sin \\varphi\\right) d \\rho d \\theta d \\varphi \\\\\n& =\\int_0^\\pi \\int_0^\\pi \\int^2 \\sin ^3 \\varphi d \\rho d \\theta d \\varphi\n\\end{aligned}\n$$\n\nOkay, now all we need to do is evaluate the integral. Here is the $\\rho$ integration.\n$$\n\\begin{aligned}\n\\iiint_E x^2+y^2 d V & =\\left.\\int_0^\\pi \\int_0^\\pi\\left(\\frac{1}{5} \\rho^5 \\sin ^3 \\varphi\\right)\\right|_0 ^2 d \\theta d \\varphi \\\\\n& =\\int_0^\\pi \\int_0^\\pi \\frac{32}{5} \\sin ^3 \\varphi d \\theta d \\varphi\n\\end{aligned}\n$$\n\nNext let's do the $\\theta$ integration.\n$$\n\\begin{aligned}\n\\iiint_E x^2+y^2 d V & =\\left.\\int_0^\\pi\\left(\\frac{32}{5} \\theta \\sin ^3 \\varphi\\right)\\right|_0 ^\\pi d \\varphi \\\\\n& =\\int_0^\\pi \\frac{32}{5} \\pi \\sin ^3 \\varphi d \\varphi\n\\end{aligned}\n$$\n\nFinally, we'll do the $\\varphi$ integration.\n$$\n\\begin{aligned}\n\\iiint_E x^2+y^2 d V & =\\int_0^\\pi \\frac{32}{5} \\pi \\sin ^2 \\varphi \\sin \\varphi d \\varphi \\\\\n& =\\int_0^\\pi \\frac{32}{5} \\pi\\left(1-\\cos ^2 \\varphi\\right) \\sin \\varphi d \\varphi \\\\\n& =\\left.\\left(-\\frac{32}{5} \\pi\\left(\\cos \\varphi-\\frac{1}{3} \\cos ^3 \\varphi\\right)\\right)\\right|_0 ^\\pi=\\frac{128}{15} \\pi\n\\end{aligned}\n$$ So the answer is $\\frac{128}{15} \\pi$\nThe answer is $\\frac{128}{15} \\pi$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080962.png | 080962 |
046929 | [
{
"from": "human",
"value": "<image>\nAccording to 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 area of the two half-circles forming the ends of the cylindrical lid?\nChoices:\nA. 21*pi cm^2\nB. 42*pi cm^2\nC. 441*pi cm^2\nD. 882*pi cm^2"
},
{
"from": "gpt",
"value": "The area of a circle is pi * r^2, where r is the radius. Since the diameter is 42 cm, the radius is 21 cm, and the total area of the complete circle (two half-circles together) is pi * (21)^2. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/046929.png | 046929 |
084853 | [
{
"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 triangle?"
},
{
"from": "gpt",
"value": "The triangle has base $b=6$ millimeters and height $h=4$ millimeters.\n\nFind the area.\n$$\n\\begin{aligned}\nA & =\\frac{1}{2} b h \\\\\n& =\\frac{1}{2}(6)(4) \\\\\n& =(3)(4) \\\\\n& =12\n\\end{aligned}\n$$\n\nThe area of the triangle is $\\mathbf{1 2}$ square millimeters. So the answer is 12\nThe answer is 12"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084853.png | 084853 |
053865 | [
{
"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 AD using the property of circle O and the angle provided in the triangle."
},
{
"from": "gpt",
"value": "Given the radius of circle O as 6 and angle at 60 degrees in \\(\\triangle OAD\\), utilize the sine trigonometric ratio to find the length of side AD, i.e., \\(\\sin 60^\\circ = \\frac{AD}{OA}\\) leading to the solution. So the answer is \\(3 \\sqrt{3}\\)\nThe answer is \\(3 \\sqrt{3}\\)"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053865.png | 053865 |
078709 | [
{
"from": "human",
"value": "<image>\nAccording to 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 half of the figure shaded blue?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since 27 out of 50 squares are shaded blue, calculating 27/50 gives a result of 54%. Since 54% is more than 50%, it means more than half of the figure is shaded blue. Thus, the answer is No. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/078709.png | 078709 |
070929 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: For a height of 70 meters, is it correct to find K, the horizontal distance, by using the formula K=70*tan(22 degrees)?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The formula specifies that K should be calculated as H divided by tan(22 degrees). Therefore, for H=70 meters, the correct formula should be K=70/tan(22 degrees), not K=70*tan(22 degrees). So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/070929.png | 070929 |
028195 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the range of values on the x-axis covered by the semi-circular graph?\nChoices:\nA. 0 to 4\nB. 0 to 8\nC. 0 to 12\nD. 0 to 16"
},
{
"from": "gpt",
"value": "The range on the x-axis that covers the semi-circle spans from x=0 to x=16. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028195.png | 028195 |
057714 | [
{
"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 exact curved surface area of the hemisphere."
},
{
"from": "gpt",
"value": "The curved surface area of a hemisphere can be calculated using the formula $2 \\pi r^2$. The radius is given in the image, which must be squared and then multiplied by $2 \\pi$. So the answer is Curved Surface Area = $2 \\pi r^2$\nThe answer is Curved Surface Area = $2 \\pi r^2$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057714.png | 057714 |
017191 | [
{
"from": "human",
"value": "<image>\nAccording to 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 role does the kite classification of $G H I J$ play in determining $m \\angle J$?\nChoices:\nA. No role\nB. Crucial\nC. Moderate\nD. To be ignored"
},
{
"from": "gpt",
"value": "The kite classification of the quadrilateral $G H I J$ significantly influences the computational method for $m \\angle J$. Knowing that $\\angle H$ equals $\\angle J$ and the interior angle sum rule of quadrilaterals are crucial in setting up and solving the equation to find the measure of $\\angle J$ using the kite’s properties. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017191.png | 017191 |
051656 | [
{
"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 direction and angle is needed from North to accurately face towards point A from point O?"
},
{
"from": "gpt",
"value": "To determine the angle, we use the compass bearing in the image where point A is to the East of North. The exact angle measurement from North towards East involves reading the specific degrees noted towards East in the image. So the answer is N 35^\\circ E\nThe answer is N 35^\\circ E"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/051656.png | 051656 |
026789 | [
{
"from": "human",
"value": "<image>\nAccording to 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, compare the x-coordinates of the vertices of functions $f$ and $g$.\nChoices:\nA. $f$'s vertex x-coordinate is larger.\nB. $g$'s vertex x-coordinate is larger.\nC. $f$ and $g$'s vertices have the same x-coordinate."
},
{
"from": "gpt",
"value": "$f$'s vertex, using its equation $f(x) = -5(x+4)^2 + 8$, is at $x = -4$, and $g$'s vertex is given as $x = -8$. This makes $g$'s vertex x-coordinate smaller than $f$'s. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/026789.png | 026789 |
025365 | [
{
"from": "human",
"value": "<image>\nAccording to 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 obtain g(x) from f(x), what transformation is applied?\nChoices:\nA. Multiplying by 4\nB. Dividing by 4\nC. Adding 4\nD. Subtracting 4"
},
{
"from": "gpt",
"value": "Based on the information that g(x) outputs a quarter of f(x)'s output for the same input value, exemplified by g(2)=2 as opposed to f(2)=8, we can deduce the transformation involves dividing by 4. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/025365.png | 025365 |
070137 | [
{
"from": "human",
"value": "<image>\nAccording to 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 one of the sides of the triangle 11 cm?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "From the diagram, one side is 11 cm. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/070137.png | 070137 |
048914 | [
{
"from": "human",
"value": "<image>\nAccording to 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 of the following best describes the relationship of the blocks?\nChoices:\nA. Two groups of blocks being divided\nB. Two groups of blocks being added\nC. Two groups of blocks being subtracted\nD. Two groups of blocks being multiplied"
},
{
"from": "gpt",
"value": "The image represents an addition of two decimal numbers, each represented by a group of blocks. Therefore, the relationship between the blocks best describes an addition. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/048914.png | 048914 |
076223 | [
{
"from": "human",
"value": "<image>\nAccording to 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 3 included in the domain of function f?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The domain of function f, $D_f=[1,3) \\cup [4,6]$, specifically excludes 3 as part of an open interval $[1,3)$. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/076223.png | 076223 |
082070 | [
{
"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: Solve for $x: \\cos (x)=\\frac{1}{2}$"
},
{
"from": "gpt",
"value": "We have the obvious solution to the equation $x=\\cos ^{-1}\\left(\\frac{1}{2}\\right)=\\frac{\\pi}{3}$. However, since $\\cos (-x)=\\cos (x)$, there is another solution given by taking $x=-\\frac{\\pi}{3}$ :\n$$\n\\cos \\left(-\\frac{\\pi}{3}\\right)=\\cos \\left(\\frac{\\pi}{3}\\right)=\\frac{1}{2}\n$$\n\nMoreover, the $y=\\cos (x)$ function is periodic with period $2 \\pi$, that is, we have $\\cos (x+2 \\pi)=\\cos (x)$. Thus, all of the following numbers are solutions of the equation $\\cos (x)=\\frac{1}{2}$ :\n$$\n\\begin{aligned}\n& \\ldots, \\quad \\frac{\\pi}{3}-4 \\pi, \\quad \\frac{\\pi}{3}-2 \\pi, \\quad \\frac{\\pi}{3}, \\quad \\frac{\\pi}{3}+2 \\pi, \\quad \\frac{\\pi}{3}+4 \\pi, \\ldots, \\\\\n& \\text { and: } \\quad \\ldots, \\quad-\\frac{\\pi}{3}-4 \\pi, \\quad-\\frac{\\pi}{3}-2 \\pi, \\quad-\\frac{\\pi}{3}, \\quad-\\frac{\\pi}{3}+2 \\pi, \\quad-\\frac{\\pi}{3}+4 \\pi, \\quad \\ldots \\\\\n&\n\\end{aligned}\n$$\n\nFrom the graph we see that there are only two solutions of $\\cos (x)=\\frac{1}{2}$ within one period. Thus, the above list constitutes all solutions of the equation. With this observation, we may write the general solution as:\n$$\nx=\\frac{\\pi}{3}+2 n \\cdot \\pi, \\text { or } x=-\\frac{\\pi}{3}+2 n \\cdot \\pi, \\quad \\text { where } n=0, \\pm 1, \\pm 2, \\pm 3, \\ldots\n$$\n\nIn short, we write this as: $x= \\pm \\frac{\\pi}{3}+2 n \\cdot \\pi$ with $n=0, \\pm 1, \\pm 2, \\pm 3, \\ldots$ So the answer is $x= \\pm \\frac{\\pi}{3}+2 n \\cdot \\pi$ with $n=0, \\pm 1, \\pm 2, \\pm 3, \\ldots$\nThe answer is $x= \\pm \\frac{\\pi}{3}+2 n \\cdot \\pi$ with $n=0, \\pm 1, \\pm 2, \\pm 3, \\ldots$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082070.png | 082070 |
081489 | [
{
"from": "human",
"value": "<image>\nAccording to 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 does the $y$-intercept tell you?\nChoices:\nA. The amount by which the temperature of the room increases in the first minute.\nB. The temperature of the room 1 minutes after the heater has been turned on.\nC. The time at which the temperature is $0^{\\circ}$.\nD. The temperature of the room before the heater has been turned on."
},
{
"from": "gpt",
"value": "The $y$-intercept represents the temperature of the room after the heater has been turned on for 0 minutes.\n\nThe temperature of the room before the heater has been turned on. So the answer is D\nAnswer: The temperature of the room before the heater has been turned on."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081489.png | 081489 |
062069 | [
{
"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 simplified ratio of the y-coordinate to the x-coordinate of the terminal point of theta?"
},
{
"from": "gpt",
"value": "Given the coordinates of the terminal point of angle theta as (-4, -6) in the diagram, the tangent of theta can be formulated from the y-coordinate to the x-coordinate ratio of this point. The tangent, representing the ratio of the opposite to adjacent side lengths, calculates as:\n$$\n\\tan\\theta = \\frac{-6}{-4} \n$$\nSimplify the fraction by removing the common negative factor:\n$$\n\\tan\\theta = \\frac{3}{2}\n$$ So the answer is $\\tan\\theta = \\frac{3}{2}$\nThe answer is $\\tan\\theta = \\frac{3}{2}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062069.png | 062069 |
028611 | [
{
"from": "human",
"value": "<image>\nAccording to 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 effect does adding 1 to y = sin x have on the graph's minimum and maximum points?\nChoices:\nA. Increases both by 1\nB. Decreases both by 1\nC. No change\nD. Increases minimum by 1 and maximum by 2"
},
{
"from": "gpt",
"value": "For the function y=sin x, the addition of 1 (resulting in y=sin x + 1) shifts every point up by 1 unit. This includes both the maximum and minimum points, which are increased by exactly 1 unit each. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028611.png | 028611 |
046971 | [
{
"from": "human",
"value": "<image>\nAccording to 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 columns are shaded to represent the decimal 0.9?\nChoices:\nA. 1 column\nB. 9 columns\nC. 10 columns\nD. 90 columns"
},
{
"from": "gpt",
"value": "The grid shows that to represent decimal 0.9, 9 out of 10 columns are shaded. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/046971.png | 046971 |
080431 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: The ratio of the radii of the two circles is $2: 3$, respectively. The two circles also touch a bigger circle of radius 9 internally. If $OB=6$, then $AB=$\nChoices:\nA. $10 / 3$\nB. $13 / 3$\nC. 5\nD. $13 / 2$\nE. $15 / 2$"
},
{
"from": "gpt",
"value": "From the given ratio, let the radii of the circle with center $A$ and the circle with center $B$ be $2 a$ and $3 a$, respectively.\n\nSince the circle with center $O$ (the bigger circle) and the circle with center $B$ (the smaller circle) touch each other internally, the distance between their centers equals the difference between the radii of the two circles. Hence, $O B$ equals\n(Radius of bigger circle) $-3 a$\n$$\n\\begin{aligned}\n& 9-3 a=6 \\\\\n& 3 a=9-6=3 \\\\\n& a=3 / 3=1\n\\end{aligned}\n$$\n\nSince the two smaller circles touch each other externally, the distance between the centers of the two, $A B$, equals the sum of the radii of the two: $2 a+3 a=5 a=5(1)=5$. The answer is 5. So the answer is C\nAnswer: 5"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080431.png | 080431 |
074135 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Would the composite figure's total volume be 900 cm³ for a cone and a cylinder both with radius 4 cm and heights 4 cm and 8 cm respectively?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Calculating volume based on given formulas and values: cone = (1/3) * π * 4² * 4 and cylinder = π * 4² * 8. The sum yields 469.14 cm³, not 900 cm³. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074135.png | 074135 |
074810 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Should the inequality x < y represent part of the shaded region's boundary?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "According to the given analysis, y > x is the proper description of one of the boundaries. x < y, although similar, flips the equality and might inadvertently include incorrect areas not within the desired shaded region. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074810.png | 074810 |
017027 | [
{
"from": "human",
"value": "<image>\nAccording to 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 lines $ST$ and $TW$?\nChoices:\nA. parallel\nB. perpendicular\nC. intersecting\nD. identical"
},
{
"from": "gpt",
"value": "The lines $ST$ and $TW$ are shown at equal lengths and are segments of the bisected triangle. This indicates that the midsegment theorem is applicable, which states a segment connecting midpoints of two sides of a triangle is parallel to the third side. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017027.png | 017027 |
005095 | [
{
"from": "human",
"value": "<image>\nAccording to 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 hypotenuse is known, what information is needed to calculate the ship's y-coordinate?\nChoices:\nA. The length of the opposite side\nB. The length of the adjacent side\nC. The measure of the angle\nD. The area of the triangle"
},
{
"from": "gpt",
"value": "To calculate the ship's y-coordinate using the cosine ratio, the measure of the angle is essential. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/005095.png | 005095 |
028717 | [
{
"from": "human",
"value": "<image>\nAccording to 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 transformation aligns the intercepts of the original and transformed graphs?\nChoices:\nA. Vertical enlargement\nB. Vertical translation\nC. Horizontal enlargement\nD. Horizontal translation"
},
{
"from": "gpt",
"value": "The original graph intercepts the x-axis at x=0 degrees, while the transformed graph intercepts at x=-30 degrees. A horizontal translation applied to the original graph would align these two points. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028717.png | 028717 |
055978 | [
{
"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 expression for $m + n$ in terms of $y$."
},
{
"from": "gpt",
"value": "Angles $m$ and $n$ are part of separate straight angles which include $x$ and $z$, respectively. Since each straight angle totals $180^\\circ$, we have $m = 180^\\circ - x$ and $n = 180^\\circ - z$. Adding these, $m + n = 360^\\circ - (x + z)$. The sum of the angles $x$, $y$, and $z$ in a triangle is known to be $180^\\circ$, which allows us to deduce that $y = 180^\\circ - x - z$. Thus, substituting gives us $m+n = 180^\\circ + y$. So the answer is $180^\\circ + y$\nThe answer is $180^\\circ + y$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055978.png | 055978 |
049769 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the relationship between $D$ and $F$ to $AB$ and $AC$?"
},
{
"from": "gpt",
"value": "The analysis specifies that $D$ and $F$ are the midpoints of $AB$ and $AC$, respectively. This means $D$ divides $AB$ into two equal lengths, and $F$ divides $AC$ into two equal lengths. So the answer is midpoints\nThe answer is midpoints"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/049769.png | 049769 |
028233 | [
{
"from": "human",
"value": "<image>\nAccording to 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 intersect the x-axis within the given range [0,8]?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Inspect the curve on the image to check if it crosses the x-axis at any point within the specified range. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028233.png | 028233 |
083862 | [
{
"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 perimeter of the following correct to one decimal place."
},
{
"from": "gpt",
"value": "Add the circumference of the bigger hemisphere, smaller hemisphere and the two lines joining the hemispheres.\n\nRemember Circumference $=\\pi d$\n\nThe 2 lines sum to the difference of the 2 diameters.\n\n$=\\frac{\\pi \\times 17}{2}+\\frac{\\pi \\times 34}{2}+34-17$\n\nEvaluate correct to one decimal place.\n\n$=97.1$ So the answer is 97.1\nThe answer is 97.1"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083862.png | 083862 |
052544 | [
{
"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 $x$, the angle at the circumference opposite a $180^\\circ$ central angle."
},
{
"from": "gpt",
"value": "Given the central angle is a semicircle or $180^\\circ$, using the circle theorem, we know that the angle at the circumference is half that at the centre. Hence:\n$x = \\frac{180}{2}$\n(Angle at the centre of a circle is twice the angle at its circumference)\nCalculate $x$.\n$x = 90$\n(Angle at the centre of a circle is twice the angle at its circumference) So the answer is $x = 90$ (Angle at the centre of a circle is twice the angle at its circumference)\nThe answer is $x = 90$ (Angle at the centre of a circle is twice the angle at its circumference)"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052544.png | 052544 |
037228 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the average number of new schools built per month?\nChoices:\nA. 4.5\nB. 5\nC. 5.5\nD. 6"
},
{
"from": "gpt",
"value": "Total schools built divided by the number of months shows an average of 5 schools built per month. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/037228.png | 037228 |
063638 | [
{
"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 right-hand limit of $f(x)$ as $x$ approaches 5?"
},
{
"from": "gpt",
"value": "Analyzing the graph behavior in the image as $x$ approaches 5 from the right, it can be observed that the y-value is converging towards 4. Thus, the right-hand limit as $x$ approaches 5 can be explicitly calculated as $$\\lim _{x \\rightarrow 5^{+}} f(x)=4$$ So the answer is 4\nThe answer is 4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063638.png | 063638 |
026425 | [
{
"from": "human",
"value": "<image>\nAccording to 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 expression is a reflection of the ray representing $\\theta$ over the $y$-axis?\nChoices:\nA. $\\theta$\nB. $\\pi-\\theta$\nC. 2\\pi+\\theta$\nD. $\\pi+\\theta$\nE. 2\\pi-\\theta$"
},
{
"from": "gpt",
"value": "On the unit circle, the ray representing $\\pi-\\theta$ is a reflection of the ray representing $\\theta$ over the $y$-axis. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/026425.png | 026425 |
048615 | [
{
"from": "human",
"value": "<image>\nAccording to 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 angle formed by the base and one of the sides of the triangle.\nChoices:\nA. Acute angle\nB. Right angle\nC. Obtuse angle\nD. Straight angle"
},
{
"from": "gpt",
"value": "The angle opposite the right angle between the base and one side of the triangle is an acute angle, as both rays of the angle point towards each other, reducing the angle size. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/048615.png | 048615 |
055725 | [
{
"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 angle AOB compare in size with angle BOC?"
},
{
"from": "gpt",
"value": "The properties of the formed angles in the image indicate that both angle AOB and angle BOC, being complements, share equal measures if the point O is bisecting the line evenly. So the answer is They are equal in size.\nThe answer is They are equal in size."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055725.png | 055725 |
020549 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, are all angles of the shape acute angles?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Angle types can be determined by measurement or estimation from the image. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/020549.png | 020549 |
060332 | [
{
"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 equation type for the curved graph."
},
{
"from": "gpt",
"value": "Upon examining the shape and behavior of the graph that curves, it's distinguishable that this graph represents a quadratic equation due to its parabolic shape. So the answer is quadratic equation\nThe answer is quadratic equation"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060332.png | 060332 |
047414 | [
{
"from": "human",
"value": "<image>\nAccording to 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 concept is illustrated?\nChoices:\nA. Pythagorean theorem\nB. Circle theorem\nC. Function graph\nD. Set theory"
},
{
"from": "gpt",
"value": "Recognizing the setup with shapes and their connections leading to the understanding of a particular concept, described by the image. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/047414.png | 047414 |
075781 | [
{
"from": "human",
"value": "<image>\nAccording to 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 y exceed the value 1 as x approaches -infinity in the equation y=4^x?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since as x becomes very negative, y becomes the reciprocal of increasingly large powers of 4, resulting in y values such as 1/4^{10}, 1/4^{30}, etc., which are all less than 1, and decreasing towards 0 but not exceeding 1. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075781.png | 075781 |
065936 | [
{
"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 total points were scored by all mascots?"
},
{
"from": "gpt",
"value": "Calculate the combined totals of baskets and misses for each mascot shown in the bar graph and sum them up. So the answer is 540\nThe answer is 540"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065936.png | 065936 |
047105 | [
{
"from": "human",
"value": "<image>\nAccording to 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 triangles are not shaded blue?\nChoices:\nA. 9\nB. 8\nC. 7\nD. 10"
},
{
"from": "gpt",
"value": "Subtract the number of blue triangles from the total number of triangles in the image. According to earlier analysis, there are 3 blue triangles out of a total of 12. Therefore, 12 - 3 = 9 triangles are not shaded blue. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/047105.png | 047105 |
051709 | [
{
"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 compass direction from point Y to point Z?"
},
{
"from": "gpt",
"value": "The helicopter flew north from point Y to point Z. So the answer is North\nThe answer is North"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/051709.png | 051709 |
039636 | [
{
"from": "human",
"value": "<image>\nAccording to 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 option explains the process to derive the equation from the values depicted in the table?\nChoices:\nA. Sum x and y values\nB. Find pattern of increments\nC. Plot all points on a graph\nD. Subtract y from x"
},
{
"from": "gpt",
"value": "Outline a procedure to establish a linear equation: Spot the pattern or rule linking x to y in the table, usually a consistent slope leading to the equation. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/039636.png | 039636 |
003598 | [
{
"from": "human",
"value": "<image>\nAccording to 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, confirm if the opposing angles of x and y sum up to 180 degrees in this cyclic quadrilateral.\nChoices:\nA. True\nB. False"
},
{
"from": "gpt",
"value": "Use the property of cyclic quadrilaterals regarding opposite angles to validate that x plus y equals 180 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/003598.png | 003598 |
050319 | [
{
"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 area of the right triangle."
},
{
"from": "gpt",
"value": "The area of a right triangle is given by $\\frac{1}{2}ab$, where $a$ and $b$ are the legs of the triangle. We know $a = 14$ and $b \\approx 7.75$ from previous calculations. \nThus, the area $A = \\frac{1}{2} \\times 14 \\times 7.75 \\approx 54.25$. So the answer is 54.25\nThe answer is 54.25"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/050319.png | 050319 |
055851 | [
{
"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 geometrical property can be observed at the point where lines OA and AP meet?"
},
{
"from": "gpt",
"value": "The intersection of lines OA and AP at point A, where OA is the radius and AP is the tangent, shows that these two lines are perpendicular to each other. This is a fundamental property of tangents meeting radii at the point of contact. So the answer is perpendicularly\nThe answer is perpendicularly"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055851.png | 055851 |
021610 | [
{
"from": "human",
"value": "<image>\nAccording to 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 could be the material of the cylinder if it feels heavy?\nChoices:\nA. Lead\nB. Aluminum\nC. Plastic\nD. Wood"
},
{
"from": "gpt",
"value": "Assuming the cylinder appears solid and it feels heavy, a denser material like lead might be a possibility. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/021610.png | 021610 |
053094 | [
{
"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 perimeter of the symmetrical structure using the radii provided for circles."
},
{
"from": "gpt",
"value": "Analyze the symmetrical structure in the image comprising several quarter circles with specified radii. By applying the perimeter formula of a circle, C=2πr, and dividing by four to get the length of each quarter circle, one can compute the respective perimeters for the circles of radius 3 mm and 6 mm. Summing up the lengths of these arcs along with any connecting straight lines between them provides the total perimeter. So the answer is 9π + 12 mm\nThe answer is 9π + 12 mm"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053094.png | 053094 |
005396 | [
{
"from": "human",
"value": "<image>\nAccording to 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 variable for the degree of the angle in the formula for the area of the sector?\nChoices:\nA. r\nB. a\nC. $\\theta$\nD. $\\pi$\nE. $\\alpha$"
},
{
"from": "gpt",
"value": "The Greek letter $\\theta$ is used in the formula to denote the degree of the angle of the sector. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/005396.png | 005396 |
015129 | [
{
"from": "human",
"value": "<image>\nAccording to 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 angle is a right angle?\nChoices:\nA. $\\angle OAB$\nB. $\\angle OBA$\nC. $\\angle ABC$\nD. $\\angle BCA$"
},
{
"from": "gpt",
"value": "$\\angle OAB$ is shown as 90 degrees in the image. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/015129.png | 015129 |
081023 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Let us find the surface area of the solid given (constructed by removing a hemisphere from a cylinder). Now, find the surface area of the cylindrical part, including the circular base. Write your answer correct to two decimal places."
},
{
"from": "gpt",
"value": "Note that the cylindrical part consists of two surfaces:\n\nThe curved surface has an area given by 2\\pi rh, where r is the radius and h is the height of the cylinder.\nThe base, which is just a circle with the same radius as that of the cylinder.\nRemember, the area of a circle of radius r is \\pi r^2.\n\nSurface area = 2\\pi \\times 15\\times 22+\\pi \\times \\left(15\\right)^2 \\mathrm{cm}^2\"\n\nWe can take out \\pi \\times 15 as a common factor.\n\nSurface area = \\pi \\times 15\\left(2\\times 22+15\\right) \\mathrm{cm}^2\"\n\nEvaluate 2\\times 22+15.\n\nSurface area = \\pi \\times 15\\times 59 \\mathrm{cm}^2\"\n\nMultiply the rationals.\n\nSurface area = 885\\pi \\mathrm{cm}^2\"\n\nUse your calculator to evaluate. Remember to give your answer correct to two decimal places. \\n 2780.13 \\mathrm{cm}^2 So the answer is 2780.13 \\mathrm{cm}^2\nThe answer is 2780.13 \\mathrm{cm}^2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081023.png | 081023 |
033987 | [
{
"from": "human",
"value": "<image>\nAccording to 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 contributes to the function not having a limit at x = -2?\nChoices:\nA. The function approaches different values from each side\nB. The function does not exist near x = -2\nC. The function is constant near x = -2\nD. The graph does not provide enough information"
},
{
"from": "gpt",
"value": "The absence of a limit at x = -2 is due to the function's oscillating behavior from the left and its approach to a distinct value from the right, highlighting an inconsistency in behavior. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033987.png | 033987 |
057559 | [
{
"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 function describes the red surface?"
},
{
"from": "gpt",
"value": "The analysis indicates the red surface is described by the plane defined by z=2 x, a function that defines a relationship between z and x. So the answer is z=2 x\nThe answer is z=2 x"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057559.png | 057559 |
064105 | [
{
"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 Alfred spends a specified fraction of his travel time in a car, what fraction does he spend not in a car?"
},
{
"from": "gpt",
"value": "Identify the fraction of total travel time that Alfred spends in a car from the image. Subtract this fraction from 1 to find the fraction of time not spent in a car. So the answer is The fraction of travel time Alfred spends not in a car.\nThe answer is The fraction of travel time Alfred spends not in a car."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/064105.png | 064105 |
072970 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Are OB and OC longer than any other radii in the circle?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "As radii of the same circle, OB and OC are equal to all other radii and not longer than any of them. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072970.png | 072970 |
067698 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what was the rate of change in visitor numbers per year from 2003 to 2006?"
},
{
"from": "gpt",
"value": "Calculate the rate of change by finding the differences in visitor counts from 2003 to 2006, then divide by the number of years to get the annual rate of change. So the answer is Rate of change in visitor numbers per year from 2003 to 2006\nThe answer is Rate of change in visitor numbers per year from 2003 to 2006"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/067698.png | 067698 |
084522 | [
{
"from": "human",
"value": "<image>\nAccording to 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 perimeter of $\\triangle A B C$ shown in the figure?\nChoices:\nA. $2+4 \\sqrt{2}$\nB. $4+2 \\sqrt{2}$\nC. 8\nD. $4+4 \\sqrt{2}$\nE. $4+4 \\sqrt{3}$"
},
{
"from": "gpt",
"value": "Equating the vertical angles at points $A$ and $C$ in the figure yields $\\angle A=2 z$ and $y=z$. Summing the angles of the triangle to $180^{\\circ}$ yields\n\n$$\n\\begin{aligned}\n& \\angle A+\\angle B+\\angle C=180 \\\\\n& 2 z+y+z=180 \\\\\n& 2 z+z+z=180 \\\\\n& 4 z=180 \\\\\n& z=180 / 4=45\n\\end{aligned}\n$$\n\nwe know that $\\angle A=2 z, \\angle B=y$, and $\\angle C=z$ we know that $y=z$\n\nSo, $\\angle A=2 z=2(45)=90, \\angle B=y=z=45$ and $\\angle C=z=45$. Hence, $\\triangle A B C$ is a right triangle. Also, since angles $\\angle C$ and $\\angle B$ are equal (equal to 45 ), the sides opposite these two angles, $A B$ and $A C$, must be equal. Since $A C$ equals 2 (from the figure), $A B$ also equals 2 . Now, applying The Pythagorean Theorem to the triangle yields\n\n$$\n\\begin{array}{rlrl}\nB C^{2} & =A B^{2}+A C^{2} & \\\\\n& =2^{2}+2^{2} & & \\text { given that } A B=A C=2 \\\\\n& =4+4 & & \\\\\n& =8 & & \\text { square rooting both sides } \\\\\nB C & =2 \\sqrt{2} & & \\text { sque }\n\\end{array}\n$$\n\nNow, the perimeter of $\\triangle A B C=A B+B C+C A=2+2 \\sqrt{2}+2=4+2 \\sqrt{2}$. The answer is $4+2 \\sqrt{2}$. So the answer is B\nAnswer: $4+2 \\sqrt{2}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084522.png | 084522 |
010094 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the effect of lines $\\ell$ and $m$ being parallel on the angle measures?\nChoices:\nA. It doubles the angle measures\nB. It halves the angle measures\nC. It confirms equal alternate interior angles\nD. No effect on the angles"
},
{
"from": "gpt",
"value": "\\begin{tabular}{ll}\nIf $\\ell \\| m$, alternate interior $\\angle s$ are $\\cong$ & Demonstrates the effect of parallelism on angles.\n\\end{tabular} So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/010094.png | 010094 |
022083 | [
{
"from": "human",
"value": "<image>\nAccording to 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 process needed to calculate the volume of the depicted solid?\nChoices:\nA. Subtract the volumes of two prisms\nB. Add the volumes of two prisms\nC. Multiply the dimensions of a single prism\nD. None of the above"
},
{
"from": "gpt",
"value": "The process involves calculating the volume of the larger rectangular prism and then subtracting the volume of the smaller rectangular prism that is cut out of the larger one. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/022083.png | 022083 |
084008 | [
{
"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: Elizabeth wants to know the difference in cross-sectional area of the door of her tent and the tent itself. The proportions of the tent are exactly the same as the door, as seen in the picture below. The triangular door has a length and height of w and h respectively.\n\nThe top of the tent is 9 cm higher than the door, and its ends are 4 cm longer than the ends of the door.\n\n\nExpress the height of the tent in terms of h."
},
{
"from": "gpt",
"value": "We know the height of the door of the tent is h. From the diagram we can see that the distance between the top of the door and the top of the tent is 9 cm.\n\nSo what is the total height of the tent?\n\nYour answer should be in the form h + _ . \\n h+9 cm So the answer is h+9 cm\nThe answer is h+9 cm"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084008.png | 084008 |
081885 | [
{
"from": "human",
"value": "<image>\nAccording to 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 graph's range?\nChoices:\nA. All real $y$\nB. $y<0$\nC. $y>0$\nD. $y \\geq 0$"
},
{
"from": "gpt",
"value": "What are all the possible values of $y$ ?\n\n$y>0$ So the answer is C\nAnswer: $y>0$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081885.png | 081885 |
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