id
stringlengths 6
6
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stringlengths 50
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|---|---|---|---|---|
076329 | [
{
"from": "human",
"value": "<image>\nAccording to 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 -1 the maximum value of $h$ at $x=1$ according to the three graphs provided?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since the graph for function $h$ shows $h(1) = -1$, it is indeed the maximum value at $x = 1$ in that specific graph. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/076329.png | 076329 |
071687 | [
{
"from": "human",
"value": "<image>\nAccording to 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 a 143-degree sector less than one third of a full circle?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The fraction representing the 143-degree sector is 143/360. When compared with one third (120/360), 143/360 is larger than 120/360, making it more than one third of a full circle. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/071687.png | 071687 |
028069 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, to calculate the area of the shape formed by the curve from 0 to 4, what integral setup would you use?\nChoices:\nA. \\int_0^4 f(x) dx\nB. \\int_0^2 f(x) dx\nC. \\int_0^3 f(x) dx\nD. \\int_0^1 f(x) dx"
},
{
"from": "gpt",
"value": "To find the area under the curve along the x-axis from 0 to 4, set up an integral for the function over this interval. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028069.png | 028069 |
017281 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the ratio of the longer leg to the shorter leg?\nChoices:\nA. 1:1\nB. 2:1\nC. \\( \\sqrt{3} \\):1\nD. 1:\\( \\sqrt{3} \\)"
},
{
"from": "gpt",
"value": "The longer leg can be found using the Pythagorean theorem.\n$$\n\\begin{aligned}\n& a^2 + (8)^2 = (16)^2 \\\\\n& a^2 + 64 = 256 \\\\\n& a^2 = 192 \\\\\n& a = 8\\sqrt{3} \\\\\n& \\text{Ratio of longer leg to shorter leg} = \\frac{8\\sqrt{3}}{8} \\\\\n& \\text{Ratio} = \\sqrt{3}:1 \\\\\n\\end{aligned}\n$$ So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017281.png | 017281 |
073072 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: In the triangle sum equation, with DBE being perpendicular and DBC being 70 degrees, does solving for x give a result of 20?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Applying angle values, a right angle or 90 degrees for DBE and 70 degrees for DBC to the equation adds up to 160 degrees. Since the total should be 180 degrees, x is indeed 20. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073072.png | 073072 |
016395 | [
{
"from": "human",
"value": "<image>\nAccording to 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 $\\angle 3$ an acute or obtuse angle?\nChoices:\nA. Acute\nB. Obtuse"
},
{
"from": "gpt",
"value": "Evaluate the measure of $\\angle 3$. If it is less than $90^\\circ$, then it is an acute angle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016395.png | 016395 |
059759 | [
{
"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 describe the graph's progression for student B from start to the 5-minute mark?"
},
{
"from": "gpt",
"value": "Analyzing the overall trajectory of the graph from the beginning to t=5 helps in understanding the trend of distance travelled by student B, whether it's a linear increase, a constant speed, or any other pattern. So the answer is Overall trajectory indicates the trend of distance traveled\nThe answer is Overall trajectory indicates the trend of distance traveled"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059759.png | 059759 |
008809 | [
{
"from": "human",
"value": "<image>\nAccording to 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 acute angles are there in the polygon?\nChoices:\nA. 2\nB. 3\nC. 4\nD. 5"
},
{
"from": "gpt",
"value": "The polygon in the image contains three acute angles. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/008809.png | 008809 |
026860 | [
{
"from": "human",
"value": "<image>\nAccording to 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, could the polynomial possibly have complex roots?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Given the nature of the polynomial graph, which only shows real intersections with x-axis, there is no indication of complex roots. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/026860.png | 026860 |
001733 | [
{
"from": "human",
"value": "<image>\nAccording to 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 perimeter of triangle $ABD$.\nChoices:\nA. 20 units\nB. 22 units\nC. 24 units\nD. 26 units"
},
{
"from": "gpt",
"value": "The perimeter is the sum of all sides. Given the lengths in the image, they can be summed directly. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/001733.png | 001733 |
060748 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, which function has a vertex that acts as a minimum?"
},
{
"from": "gpt",
"value": "Looking at the function $f(x) = 4x^2 - 108$, since it is concave up, the vertex of this parabola acts as a minimum point. So the answer is function $f(x)$\nThe answer is function $f(x)$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060748.png | 060748 |
050465 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, determine the length of the triangle's hypotenuse."
},
{
"from": "gpt",
"value": "To find the hypotenuse of a right triangle, apply the Pythagorean theorem. This requires knowledge of the lengths of the other two sides of the triangle. So the answer is The length of the hypotenuse is found by taking the square root of the sum of the squares of the other two sides.\nThe answer is The length of the hypotenuse is found by taking the square root of the sum of the squares of the other two sides."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/050465.png | 050465 |
078453 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: According to the reported data, is the range in monthly sales less than $4 million?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The range of the monthly sales is the difference between the greatest and the smallest values. The difference is 6.5 million - 2 million = $4.5 million, therefore the range is not less than $4 million. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/078453.png | 078453 |
022473 | [
{
"from": "human",
"value": "<image>\nAccording to 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 height of one of the side walls?\nChoices:\nA. 7 m\nB. 10 m\nC. 12 m\nD. 15 m"
},
{
"from": "gpt",
"value": "The vertical dimension on the image labels the height of the side wall. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/022473.png | 022473 |
081739 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: By considering the transformation that has taken place, state the coordinates of the first maximum point of the function $y=\\sin 2x$ for $x \\geq 0$."
},
{
"from": "gpt",
"value": "The graph of $y=\\sin 2 x$ is the graph of $y=\\sin x$ compressed horizontally by a factor of 2 .\n\n$(x, y)=\\left(45^{\\circ}, 1\\right)$ So the answer is $(x, y)=\\left(45^{\\circ}, 1\\right)$\nThe answer is $(x, y)=\\left(45^{\\circ}, 1\\right)$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081739.png | 081739 |
046597 | [
{
"from": "human",
"value": "<image>\nAccording to 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 shaded square on the grid costs $10, what is the total cost of the shaded area?\nChoices:\nA. $650\nB. $700\nC. $750\nD. $800"
},
{
"from": "gpt",
"value": "The cost is calculated by multiplying the number of shaded squares (65) by the cost per square ($10), totaling $650. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/046597.png | 046597 |
038702 | [
{
"from": "human",
"value": "<image>\nAccording to 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 time in minutes it took Raul to drive to school?\nChoices:\nA. 5 minutes\nB. 10 minutes\nC. 15 minutes\nD. 20 minutes"
},
{
"from": "gpt",
"value": "According to the graph, the total time it took Raul to drive to school is 10 minutes. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038702.png | 038702 |
032585 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, during which intervals is the function positive?\nChoices:\nA. x < -2 and x > 7\nB. x < -2 and 0 < x < 7\nC. x < 0 and x > 7\nD. -2 < x < 0 and x < 7"
},
{
"from": "gpt",
"value": "The function lies above the x-axis (positive) where x < -2 and x > 7. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/032585.png | 032585 |
075944 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: According to the trigonometric identities and the figure, is $\\tan\\left(\\pi\\right)$ equal to 0?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The angle $\\pi$ on the unit circle corresponds to the point $(-1, 0)$. Using the tangent formula $\\frac{y}{x}$, we calculate $\\tan(\\pi) = \\frac{0}{-1} = 0$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075944.png | 075944 |
028620 | [
{
"from": "human",
"value": "<image>\nAccording to 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 a distinct feature of the function y=\\sin 2x compared to y=\\sin x?\nChoices:\nA. Higher amplitude\nB. Lower amplitude\nC. Shorter period\nD. Longer period"
},
{
"from": "gpt",
"value": "The distinct feature in the transformed graph y=\\sin 2x, compared to y=\\sin x, is that it completes cycles more quickly due to a shorter period. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028620.png | 028620 |
054774 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the relationship between the angles of the triangle?"
},
{
"from": "gpt",
"value": "Observing the sides BC(=2), AB(=11/2), and AC(=1), we apply the property that larger angles reside opposite longer sides in a triangle. Thus, we derive the inequality for the angles as Angle A > Angle C > Angle B. So the answer is Angle A > Angle C > Angle B\nThe answer is Angle A > Angle C > Angle B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/054774.png | 054774 |
012319 | [
{
"from": "human",
"value": "<image>\nAccording to 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 DCE measures 40 degrees and angle CDE measures 60 degrees, what is the measure of angle DEC?\nChoices:\nA. 80 degrees\nB. 40 degrees\nC. 60 degrees\nD. 100 degrees"
},
{
"from": "gpt",
"value": "In triangle DEC, since the sum of angles in any triangle is 180 degrees, angle DEC = 180 - 40 - 60 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/012319.png | 012319 |
030241 | [
{
"from": "human",
"value": "<image>\nAccording to 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, would the graph adhere to the conditions of the vertical line test?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "If there is no vertical line that intersects the graph at more than one point, the graph considered to be a function. This is called the vertical line test. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/030241.png | 030241 |
038524 | [
{
"from": "human",
"value": "<image>\nAccording to 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 approximate percentage increase in industrial prices from 1982 to 1989?\nChoices:\nA. 10 percent\nB. 12 percent\nC. 15 percent\nD. 18 percent"
},
{
"from": "gpt",
"value": "The image roughly suggests a 15 percent increase in industrial prices from 1982 to 1989. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038524.png | 038524 |
053636 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, find the length of side x, where the angle adjacent to x is 21 degrees."
},
{
"from": "gpt",
"value": "Use the sine function for angle calculation in a right triangle. Since the hypotenuse is 23.4 and the angle given in the image is 21 degrees, the opposite side can be found using its complementary angle: \\sin (90^\\circ - 21^\\circ) = \\frac{x}{23.4}. Resolve for x by multiplying 23.4 by \\sin 69^\\circ. So the answer is 21.85\nThe answer is 21.85"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053636.png | 053636 |
043435 | [
{
"from": "human",
"value": "<image>\nAccording to 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 dependent variable represented in the population model equation?\nChoices:\nA. N\nB. P\nC. D\nD. M"
},
{
"from": "gpt",
"value": "The image will show which variable stands for the dependent variable (population), usually represented as $(P)$ in a mathematical model of population. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/043435.png | 043435 |
034122 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, is the graph of the function linear around $x = 3$?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "From observation of the graph surrounding $x = 3$, it is evident that the graph is not linear due to the abrupt change at $x = 3$. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/034122.png | 034122 |
016006 | [
{
"from": "human",
"value": "<image>\nAccording to 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, evaluate the measure of $m \\angle F I G$.\nChoices:\nA. 118^\\circ\nB. 120^\\circ\nC. 122^\\circ\nD. 124^\\circ"
},
{
"from": "gpt",
"value": "Use the image provided values of other involved angles, subtract them from total circle degrees to find $m \\angle F I G$. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016006.png | 016006 |
061639 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, does the relation presented qualify as a function without exceptions?"
},
{
"from": "gpt",
"value": "The qualification of a graphical representation as a function is based on the criterion that no x-value in its domain has more than one corresponding y-value in its range. This is visually assessed typically by the vertical line test. So the answer is Yes if every x-value maps to a single y-value; No if any x-value maps to multiple y-values.\nThe answer is Yes if every x-value maps to a single y-value; No if any x-value maps to multiple y-values."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061639.png | 061639 |
038107 | [
{
"from": "human",
"value": "<image>\nAccording to 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 point contribution of the third question to the average score.\nChoices:\nA. 4375 points\nB. 8750 points\nC. 13125 points\nD. 17500 points"
},
{
"from": "gpt",
"value": "Each student who answers a question correctly contributes 25 points. Multiplying the number of students who solved the third question by 25 gives the total contribution of the third question. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038107.png | 038107 |
053945 | [
{
"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 full measure of angle $y$ using the provided angle relationship."
},
{
"from": "gpt",
"value": "Since interior angles on the same side of a transversal with parallel lines are supplementary, and $x = 55$, we use the equation $x + y = 180$ to find $y$. Thus, solving $55 + y = 180$ gives us $y = 125$. So the answer is 125 degrees\nThe answer is 125 degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053945.png | 053945 |
053964 | [
{
"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 angles $a$ and $b$?"
},
{
"from": "gpt",
"value": "From the geometric relationships, we calculate each angle separately using properties of parallel lines and angles. Complementary and supplementary angles are used to determine individual values. So the answer is 200\nThe answer is 200"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/053964.png | 053964 |
055799 | [
{
"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 opposite sides of the quadrilateral are parallel, what could be the classification of the shape?"
},
{
"from": "gpt",
"value": "The property of having opposite sides parallel classifies the shape as a parallelogram. So the answer is parallelogram\nThe answer is parallelogram"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055799.png | 055799 |
084422 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: In the figure, $A B C D$ is a rectangle, and $F$ and $E$ are points on $A B$ and $B C$, respectively. The area of $\\triangle D F B$ is 9 and the area of $\\triangle B E D$ is 24 . What is the perimeter of the rectangle?\nChoices:\nA. 18\nB. 23\nC. 30\nD. 42\nE. 48"
},
{
"from": "gpt",
"value": "The formula for the area of a triangle is $1 / 2 \\times$ base $\\times$ height. Hence, the area of $\\triangle D F B$ is $1 / 2 \\times F B \\times A D$. We are given that the area of $\\triangle D F B$ is 9 . Hence, we have\n$$\n\\begin{aligned}\n& 1 / 2 \\times F B \\times A D=9 \\\\\n& 1 / 2 \\times 2 \\times A D=9 \\\\\n& A D=9\n\\end{aligned}\n$$\n\nSimilarly, the area of $\\triangle B E D$ is $1 / 2 \\times B E \\times D C$, and we are given that the area of the triangle is 24 . Hence, we have\n$$\n\\begin{aligned}\n& 1 / 2 \\times B E \\times D C=24 \\\\\n& 1 / 2 \\times 4 \\times D C=24 \\\\\n& D C=12\n\\end{aligned}\n$$\nfrom the figure, $B E=4$\n\nNow, the formula for the perimeter of a rectangle is\n$2 \\times$ (the sum of the lengths of any two adjacent sides of the rectangle)\n\nHence, the perimeter of the rectangle $A B C D=2(A D+D C)=2(9+12)=2 \\times 21=42$. The answer is 42. So the answer is D\nAnswer: 42"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084422.png | 084422 |
028602 | [
{
"from": "human",
"value": "<image>\nAccording to 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 units is the graph of y = sin x vertically shifted to get the graph of y = sin x + 1?\nChoices:\nA. 1 unit\nB. 2 units\nC. 3 units\nD. 4 units"
},
{
"from": "gpt",
"value": "The graph of y=sin x, which typically ranges from y=-1 to y=1, has been shifted upwards. The shift can be determined by comparing the y-coordinates of analogous points (e.g., maximum points) before and after the transformation. The original function y=sin x has a maximum y-value of 1 at x=90^°. The transformed function y=sin x + 1 would thus have an increased maximum y-value by 1 unit, shifting the original max value to 2 at the same x-coordinate. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028602.png | 028602 |
063687 | [
{
"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 limit of the inverse tangent function as x approaches negative infinity?"
},
{
"from": "gpt",
"value": "The limit can be determined by examining the graph of the inverse tangent function. As x approaches negative infinity, the curve of the tangent function approaches a horizontal asymptote. This is consistent with the general behavior of inverse tangent which is bound between \\(-\\frac{\\pi}{2}\\) and \\(\\frac{\\pi}{2}\\). From this, one can conclude that: So the answer is \\lim _{x \\rightarrow -\\infty} \\tan^{-1} x = -\\frac{\\pi}{2}\nThe answer is \\lim _{x \\rightarrow -\\infty} \\tan^{-1} x = -\\frac{\\pi}{2}"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063687.png | 063687 |
078837 | [
{
"from": "human",
"value": "<image>\nAccording to 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 smallest division on the scale is 4 kg, what is the absolute error?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The absolute error of a measurement is half of the smallest unit on the measuring device. Here, since the smallest division on the scale is mentioned as 4 kg, half of this value would be 2 kg. Therefore, the absolute error is 2 kg. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/078837.png | 078837 |
063328 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the slope of the line represented by the graph of $y = f(x)$?"
},
{
"from": "gpt",
"value": "The slope of the line graph $y=f(x)$ can be determined by examining the direction and steepness of the line on the graph. As the line rises from left to right, the slope is positive. By taking two points on the line, the change in y over the change in x will give the slope. Observing two apparent points in the graph where the coordinates are easy to read (such as crossing grid lines) will provide the numerical value of the slope. So the answer is $\\frac{3}{5}$\nThe answer is $\\frac{3}{5}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063328.png | 063328 |
060520 | [
{
"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 term used to describe the horizontal length of one complete cycle for the function shown?"
},
{
"from": "gpt",
"value": "Period is the horizontal length of an entire cycle of a sinusoidal function. It is measured from one point in the waveform to the corresponding point in the next cycle, such as from peak to peak or trough to trough. So the answer is Period\nThe answer is Period"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060520.png | 060520 |
054501 | [
{
"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 value of x where it represents the degrees of an intercepted arc by considering the exterior angle measurement given."
},
{
"from": "gpt",
"value": "Given the exterior angle is 40 degrees and the formula for an exterior angle measurement is: $$\\text{Exterior angle} = \\frac{1}{2}(\\text{larger arc} - \\text{smaller arc})$$ We solve for x considering smaller arc is 20 degrees, $$40 = \\frac{1}{2}(x - 20)$$ which leads to calculating the larger arc's degree. So the answer is 100 degrees\nThe answer is 100 degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/054501.png | 054501 |
069652 | [
{
"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 different two-digit numbers can be created where the tens digit is larger than the units digit?"
},
{
"from": "gpt",
"value": "Following the branches of the probability tree from left to right, identify each combination where the first number (tens digit) is larger than the second number (units digit). So the answer is There are 3 two-digit numbers where the tens digit is larger: 32, 34, 42.\nThe answer is There are 3 two-digit numbers where the tens digit is larger: 32, 34, 42."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/069652.png | 069652 |
079886 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Find the area of the parallelogram."
},
{
"from": "gpt",
"value": "Remember Area of Parallelogram $=$ base $\\times$ perpendicular height\n\nSubstitute the base and height into the formula to find the area.\n\nArea $=21 \\times 20 \\mathrm{~cm}^{2}$\n\nEvaluate the product.\n\nArea $=420 \\mathrm{~cm}^{2}$ So the answer is Area $=420 \\mathrm{~cm}^{2}$\nThe answer is Area $=420 \\mathrm{~cm}^{2}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079886.png | 079886 |
022278 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the formula used to calculate the volume of the pyramid?\nChoices:\nA. V=\\frac{1}{3}bh\nB. V=\\frac{1}{2}bh\nC. V=bh\nD. V=\\frac{1}{3}Ah"
},
{
"from": "gpt",
"value": "The formula used in finding the volume of the pyramid includes dividing the product of the base area and height by three, which is represented as V=\\frac{1}{3}Ah. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/022278.png | 022278 |
014855 | [
{
"from": "human",
"value": "<image>\nAccording to 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 sum of all interior angles of the triangle?\nChoices:\nA. 90 degrees\nB. 180 degrees\nC. 270 degrees\nD. 360 degrees"
},
{
"from": "gpt",
"value": "The sum of all interior angles of any triangle, including the one shown in the image, is always 180 degrees. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/014855.png | 014855 |
072486 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: In the parallelogram ABCD, are the angles ∠ABD and ∠BDC equal?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "As line BD is a transversal cutting opposite sides AB and DC in the parallelogram, the alternate interior angles ∠ABD and ∠BDC are both equal to 31°. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072486.png | 072486 |
000966 | [
{
"from": "human",
"value": "<image>\nAccording to 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 segments are perpendicular to the trawler’s original direction?\nChoices:\nA. AB and CD\nB. BC and DE\nC. DE and EF\nD. AB and EF"
},
{
"from": "gpt",
"value": "From the image, segments BC and DE can be identified as perpendicular to the trawler's original direction, contributing directly to the southward displacement 's'. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/000966.png | 000966 |
005521 | [
{
"from": "human",
"value": "<image>\nAccording to 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 constant factor for calculating the area of a sector?\nChoices:\nA. π\nB. 360\nC. 180\nD. r\nE. θ"
},
{
"from": "gpt",
"value": "The constant factor for calculating the area of a sector is π (pi), which is approximately 3.14 but can be more accurately taken as π in calculations. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/005521.png | 005521 |
017313 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, for angle Y, what does $\\frac{2\\sqrt{3}}{4}$ simplify to?\nChoices:\nA. $0.866$\nB. $0.5$\nC. $1$\nD. $\\frac{\\sqrt{3}}{2}$"
},
{
"from": "gpt",
"value": "Simplify the given fraction $$\\frac{2\\sqrt{3}}{4}$$ which represents a certain trigonometric ratio in the triangle shown in the image. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017313.png | 017313 |
019694 | [
{
"from": "human",
"value": "<image>\nAccording to 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 BF is the hypotenuse and BD and DF are the sides of the right triangle, which statement is correct?\nChoices:\nA. BD^2+DF^2 = BF^2\nB. BD^2-BF^2 = DF^2\nC. BF^2-DF^2 = BD^2\nD. BD^2/DF^2 = BF^2"
},
{
"from": "gpt",
"value": "The theorem of Pythagoras states that in a right-angled triangle the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: BD^2+DF^2 = BF^2. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/019694.png | 019694 |
073110 | [
{
"from": "human",
"value": "<image>\nAccording to 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 x be determined as 45 degrees when a pair of consecutive angles formed by a transversal through parallel lines sums to 180 degrees, with one of these being 135 degrees?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Considering the supplemental nature of consecutive interior angles in parallel lines with a transversal, and given one angle measures 135 degrees; the other angle, hence x, must be 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/073110.png | 073110 |
000322 | [
{
"from": "human",
"value": "<image>\nAccording to 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 angle ODB compare to angle OBD in \triangle OBD?\nChoices:\nA. Greater than\nB. Less than\nC. Equal to\nD. Not comparable"
},
{
"from": "gpt",
"value": "Analyze the triangle's angle properties displayed in the image to address the relationship between angles ODB and OBD. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/000322.png | 000322 |
061970 | [
{
"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 expression that represents the relationship between the number of folds and the resulting number of layers?"
},
{
"from": "gpt",
"value": "In the graph, the relationship between the number of folds and the resulting number of layers is that the layers increase exponentially as the folds increase. The specific relationship can be represented by the exponential function $y = 2^x$, where $x$ is the number of folds and $y$ is the number of layers. So the answer is $y = 2^x$\nThe answer is $y = 2^x$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061970.png | 061970 |
082134 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Compute the following: $\\lim _{x \\rightarrow 1^{-}} f(x)$"
},
{
"from": "gpt",
"value": "$\\lim _{x \\rightarrow 1^{-}} f(x)=4$ The function is approaching a value of 4 as $x$ moves in towards 1 from the left. So the answer is 4\nThe answer is 4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082134.png | 082134 |
057329 | [
{
"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 smaller rectangles are used to construct the large rectangle?"
},
{
"from": "gpt",
"value": "The large rectangle is decomposed into two smaller rectangles as indicated. To find the count, simply observe and count the distinct smaller rectangles visible in the area model shown. So the answer is 2\nThe answer is 2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057329.png | 057329 |
074092 | [
{
"from": "human",
"value": "<image>\nAccording to 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 figure of error around 223 cm³ consistent with the calculations?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Using the calculated difference (1913.625 - 1690 cm³), the result is 223.625 cm³. The suggested figure of error around 223 cm³ is essentially consistent with this calculated value. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/074092.png | 074092 |
007183 | [
{
"from": "human",
"value": "<image>\nAccording to 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 ratio correctly expresses the cosine of one of the acute angles in the triangle?\nChoices:\nA. Adjacent side/Hypotenuse\nB. Opposite side/Hypotenuse\nC. Opposite side/Adjacent side\nD. Hypotenuse/Adjacent side"
},
{
"from": "gpt",
"value": "The cosine of an acute angle in a right triangle is given by the ratio of the length of the adjacent side to the length of the hypotenuse. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/007183.png | 007183 |
013049 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many right angles are present in the shape?\nChoices:\nA. One\nB. Two\nC. Three\nD. None"
},
{
"from": "gpt",
"value": "The image portrays a right triangle, indicating exactly one right angle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/013049.png | 013049 |
003585 | [
{
"from": "human",
"value": "<image>\nAccording to 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 the angle ABC.\nChoices:\nA. Acute angle\nB. Obtuse angle\nC. Right angle\nD. Straight angle"
},
{
"from": "gpt",
"value": "Given the property of the circle where originating angle from the circumference referring to a diameter is 90 degrees, the angle ABC is a right angle. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/003585.png | 003585 |
017922 | [
{
"from": "human",
"value": "<image>\nAccording to 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, combine the area of Rectangle $B$ and Triangle $C$. What is the total?\nChoices:\nA. 20 sq cm\nB. 42 sq cm\nC. 52 sq cm\nD. 63 sq cm"
},
{
"from": "gpt",
"value": "Adding up the areas from Rectangle $B$ (42 sq cm) and Triangle $C$ (10 sq cm) totals to 52 square centimeters. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017922.png | 017922 |
063007 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, which function is intersecting the y-axis at the highest point?"
},
{
"from": "gpt",
"value": "The graph shows three functions, f, g, and h. To determine which intersects the y-axis at the highest point, observe the y-intercepts of each function. Assuming f intersects at y=3, g at y=5, and h at y=2, the function g intersects at the highest point. So the answer is g\nThe answer is g"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063007.png | 063007 |
027320 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how would adding a secondary reflector affect the antenna?\nChoices:\nA. Increase signal capture\nB. Decrease signal focus\nC. No effect\nD. Distort signal path"
},
{
"from": "gpt",
"value": "Adding a secondary reflector, usually positioned at or near the focus, helps in redirecting the signals to a different reception point, potentially increasing signal capture efficiency. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/027320.png | 027320 |
002059 | [
{
"from": "human",
"value": "<image>\nAccording to 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 type of angle ACB?\nChoices:\nA. Acute\nB. Right\nC. Obtuse\nD. Straight"
},
{
"from": "gpt",
"value": "Using geometric concepts, angle ACB can be identified as one of the common types of angles. This is based on its measure relative to the properties of the triangle shown in the image. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/002059.png | 002059 |
032898 | [
{
"from": "human",
"value": "<image>\nAccording to 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 intervals is the polynomial increasing?\nChoices:\nA. Between roots\nB. Outside roots\nC. Cannot be determined without exact values\nD. Nowhere"
},
{
"from": "gpt",
"value": "Polynomials increase and decrease between turning points which can be estimated through the graph's appearance between intersections with the x-axis. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/032898.png | 032898 |
033603 | [
{
"from": "human",
"value": "<image>\nAccording to 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 infinity?\nChoices:\nA. Approaches positive infinity\nB. Approaches negative infinity\nC. Approaches zero\nD. Oscillates"
},
{
"from": "gpt",
"value": "The graph shows that as x approaches infinity, f(x) approaches negative infinity. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033603.png | 033603 |
083778 | [
{
"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 position of a ship S is given to be 20 kilometres from P, on a true bearing of 049^\\circT.\n\nThe position of the ship can also be given by its \\left(x,y\\right) coordinates.\n\nIf the ship's y-coordinate is y, find y to one decimal place."
},
{
"from": "gpt",
"value": "In the right-angled triangle, what trigonometric ratio can be used to relate the given angle and side, and the side measuring y.\n\n\\cos \\theta =\\frac{\\text{adjacent }}{\\text{hypotenuse }}\n\n\\cos 49^\\circ =\\frac{y}{20}\n\nMake y the subject of the expression.\n\nMultiply both sides by 20.\n\ny=20\\cos 49^\\circ\n\nEvaluate to one decimal place. \\n 13.1 So the answer is 13.1\nThe answer is 13.1"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083778.png | 083778 |
023122 | [
{
"from": "human",
"value": "<image>\nAccording to 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 cubes would be added to double the current volume?\nChoices:\nA. 2\nB. 4\nC. 8\nD. 16"
},
{
"from": "gpt",
"value": "The total volume is represented by the total number of cubes, which is currently 8. Doubling this number requires adding an equal amount of cubes. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/023122.png | 023122 |
045611 | [
{
"from": "human",
"value": "<image>\nAccording to 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 2/5 segments make up two wholes?\nChoices:\nA. 5\nB. 4\nC. 10\nD. 8"
},
{
"from": "gpt",
"value": "If each whole is to be divided into fifths, two wholes would consist of 10 fifths in total. Since each 2/5 segment is comprised of two fifths, the number of segments would be 10 divided by 2. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/045611.png | 045611 |
086572 | [
{
"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 table below shows the probability distribution of a random variable $Y$.\nWhat is the expected value of $Y$?"
},
{
"from": "gpt",
"value": "To find $E(Y)$, the expected value of $Y$, find $k \\cdot P(k)$ for each value $k$ that $Y$ can take. Then, sum these terms.\n$$\n\\begin{aligned}\nE(Y) & =4+5.5+1.2+0 \\\\\n& =10.7\n\\end{aligned}\n$$\n\nSo, the expected value of $Y$ is 10.7. So the answer is 10.7\nThe answer is 10.7"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086572.png | 086572 |
028608 | [
{
"from": "human",
"value": "<image>\nAccording to 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 does the graph of y = sin x + 1 indicate about the amplitude compared to y = sin x?\nChoices:\nA. Amplitude remains the same\nB. Amplitude increases by 1\nC. Amplitude decreases by 1\nD. Amplitude doubles"
},
{
"from": "gpt",
"value": "The amplitude of y=sin x, which is the distance from the midline of the graph to the peak, remains 1. Since the transformation y=sin x +1 is purely vertical, it does not affect the amplitude but instead the vertical location of the whole graph. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028608.png | 028608 |
082205 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Evaluate $\\iint_D 2 y x^2+9 y^3 d A$ where $D$ is the region shown in the figure."
},
{
"from": "gpt",
"value": "Now, with this problem, the region will allow either order of integration without any real change of difficulty in the integration.\nSo, here are the limits for each order of integration that we could use.\n$$\n\\begin{aligned}\n& 0 \\leq x \\leq 9 \\quad 0 \\leq y \\leq 6 \\\\\n& \\frac{2}{3} x \\leq y \\leq 2 \\sqrt{x} \\quad \\text { OR } \\quad \\frac{1}{4} y^2 \\leq x \\leq \\frac{3}{2} y \\\\\n&\n\\end{aligned}\n$$\n\nAs noted above either order could be done without much real change in difficulty. So, for this problem let's integrate with respect to $y$ first.\nOften roots in limits can lead to messier integrands for the second integration. However, in this case notice that both the $y$ terms will integrate to terms with even exponents and that will eliminate the root upon evaluation. This order will also keep the exponents slightly smaller which may help a little with the second integration.\n\nHere is the integral set up for $y$ integration first.\n$$\n\\iint_D 2 y x^2+9 y^3 d A=\\int_0^9 \\int_{\\frac{2}{3} x}^{2 \\sqrt{x}} 2 y x^2+9 y^3 d y d x\n$$\n\nHere is the $y$ integration.\n$$\n\\begin{aligned}\n\\iint_D 2 y x^2+9 y^3 d A & =\\int_0^9 \\int_{\\frac{2}{3} x}^{2 \\sqrt{x}} 2 y x^2+9 y^3 d y d x \\\\\n& =\\left.\\int_0^9\\left(y^2 x^2+\\frac{9}{4} y^4\\right)\\right|_{\\frac{2}{3} x} ^{2 \\sqrt{x}} d x \\\\\n& =\\int_0^9 4 x\\left(x^2\\right)+\\frac{9}{4}\\left(16 x^2\\right)-\\left[\\frac{4}{9} x^2\\left(x^2\\right)+\\frac{9}{4}\\left(\\frac{16}{81} x^4\\right)\\right] d x \\\\\n& =\\int_0^9 36 x^2+4 x^3-\\frac{8}{9} x^4 d x\n\\end{aligned}\n$$\n\nIn this case there is a small amount of pretty simple simplification that we could do to reduce the complexity of the integrand and so we did that.\n\nAll that is left is to do the $x$ integration. Here is that work.\n$$\n\\begin{aligned}\n\\iint_D 2 y x^2+9 y^3 d A & =\\int_0^9 36 x^2+4 x^3-\\frac{8}{9} x^4 d x \\\\\n& =\\left.\\left(12 x^3+x^4-\\frac{8}{45} x^5\\right)\\right|_0 ^9=\\frac{24057}{5}=4811.4\n\\end{aligned}\n$$ So the answer is 4811.4\nThe answer is 4811.4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082205.png | 082205 |
040136 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, in which decade did the postal rate increase to 5 cents?\nChoices:\nA. 1950s\nB. 1960s\nC. 1970s\nD. 1980s"
},
{
"from": "gpt",
"value": "By examining the graph, pinpoint the first appearance of the 5 cents rate and relate it to its decade. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/040136.png | 040136 |
013364 | [
{
"from": "human",
"value": "<image>\nAccording to 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 summation of angle GEF, angle FGE, and angle EFG?\nChoices:\nA. 180 degrees\nB. 360 degrees\nC. 90 degrees\nD. 270 degrees"
},
{
"from": "gpt",
"value": "Since these three angles form a triangle, their summation must be 180 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/013364.png | 013364 |
014295 | [
{
"from": "human",
"value": "<image>\nAccording to 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 angle c equals 130 degrees, find the degree measure of its vertical angle a?\nChoices:\nA. 50\nB. 130\nC. 100\nD. 40\nE. None of these."
},
{
"from": "gpt",
"value": "$c=a$ (vertical angles) $=130$ So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/014295.png | 014295 |
061120 | [
{
"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 $y$-value when $x$ equals zero."
},
{
"from": "gpt",
"value": "Substitute $x = 0$ into the equation of the line.\n\n$y = 5 \\times 0 + 5$\n\nEvaluate the equation.\n\n$y = 5$ So the answer is $y = 5$\nThe answer is $y = 5$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061120.png | 061120 |
021183 | [
{
"from": "human",
"value": "<image>\nAccording to 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 compute the volume of the composite object?\nChoices:\nA. $\\pi r^2h$\nB. $4/3\\pi r^3$\nC. $\\frac{1}{3}\\pi r^2h + \\pi r^2h$\nD. $\\frac{1}{3}\\pi r^2h + 4/3\\pi r^3$\nE. $\\frac{1}{3}\\pi r^2h$"
},
{
"from": "gpt",
"value": "The volume of the object is given by the formula: $\\frac{1}{3}\\pi r^2h + \\pi r^2h$. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/021183.png | 021183 |
011168 | [
{
"from": "human",
"value": "<image>\nAccording to 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 triangles can be formed using O, P, Q, and R?\nChoices:\nA. Right Triangle and Isosceles Triangle\nB. Equilateral Triangle and Scalene Triangle\nC. Obtuse Triangle and Acute Triangle\nD. Right Triangle and Equilateral Triangle"
},
{
"from": "gpt",
"value": "As line segments OR and RP are equal, triangle ORP becomes an isosceles triangle. Also points O, P and Q form a right triangle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/011168.png | 011168 |
044746 | [
{
"from": "human",
"value": "<image>\nAccording to 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 every student voted, approximately how many more students voted for other candidates than for Candidate A?\nChoices:\nA. 100\nB. 250\nC. 400\nD. 665"
},
{
"from": "gpt",
"value": "Given that Candidate A received 48% of the votes, the other candidates together got 52% of the votes, which is about 665 students. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/044746.png | 044746 |
070907 | [
{
"from": "human",
"value": "<image>\nAccording to 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 β = 39° and we know the opposite side is 63, would the adjacent side differ from 77.80?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The adjacent side length, calculated using ταν 39° = 63/y, correctly gives y as approximately 77.80, confirming the calculation based on SOH-CAH-TOA. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/070907.png | 070907 |
035303 | [
{
"from": "human",
"value": "<image>\nAccording to 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 sine of the smallest angle in the triangle.\nChoices:\nA. 1/3\nB. 1/2\nC. 2/3\nD. 3/4"
},
{
"from": "gpt",
"value": "Using the ratio of the opposite side over the hypotenuse for the smallest angle shown in the image. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/035303.png | 035303 |
079979 | [
{
"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 value of $y$."
},
{
"from": "gpt",
"value": "Use the property of opposite angles in a cyclic quadrilateral.\n\nState your reason:\n\n$y=180-110$\n\n(Opposite angles in a cyclic quadrilateral are supplementary)\n\nEvaluate $y$.\n\nState your reason:\n\n$y=70$\n\n(Opposite angles in a cyclic quadrilateral are supplementary) So the answer is $y=70$\nThe answer is $y=70$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079979.png | 079979 |
006492 | [
{
"from": "human",
"value": "<image>\nAccording to 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 magnitude of angle RTU?\nChoices:\nA. 20 degrees\nB. 23 degrees\nC. 25 degrees\nD. 28 degrees"
},
{
"from": "gpt",
"value": "Find the magnitude by using the difference between the two angles adjacent to RTU. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/006492.png | 006492 |
078411 | [
{
"from": "human",
"value": "<image>\nAccording to 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 spending on Interest on National Debt over $60 billion higher than Education in 2010 by the U.S.?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since the difference was $70 billion, it was indeed over $60 billion. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/078411.png | 078411 |
016115 | [
{
"from": "human",
"value": "<image>\nAccording to 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 radius of the circle greater than, equal to or less than 1?\nChoices:\nA. Greater than\nB. Equal to\nC. Less than"
},
{
"from": "gpt",
"value": "As described in the analysis, the circle is a unit circle and so the radius equals 1. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016115.png | 016115 |
000962 | [
{
"from": "human",
"value": "<image>\nAccording to 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 required to calculate the precise value of 's'?\nChoices:\nA. Only lengths of BC and DE\nB. Only angles of BC and DE\nC. Both lengths and angles of BC and DE\nD. Total lengths of all segments"
},
{
"from": "gpt",
"value": "Both the lengths and the angles of the segments BC and DE are required to calculate the precise value of 's', as 's' is computed using the sine of the angles multiplied by their lengths. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/000962.png | 000962 |
033691 | [
{
"from": "human",
"value": "<image>\nAccording to 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 approximate derivative of $f(x)$ at $x=3$?\nChoices:\nA. 0\nB. 1\nC. Undefined\nD. Cannot determine"
},
{
"from": "gpt",
"value": "From visual inspection of the graph at $x = 3$, the slope of the tangent line appears horizontal, which suggests the derivative is approximately $0$ at that point. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033691.png | 033691 |
002261 | [
{
"from": "human",
"value": "<image>\nAccording to 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 hypotenuse length $c$ expressed as a function of angle $\\theta$ and side $a$?\nChoices:\nA. c = a\\sec(\\theta)\nB. c = a\\csc(\\theta)\nC. c = a\\cos(\\theta)\nD. c = a\\sin(\\theta)"
},
{
"from": "gpt",
"value": "The hypotenuse length $c$ in terms of side $a$ and angle $\\theta$ is given by $c = a\\sec(\\theta)$, where $\\sec(\\theta)$ is the secant of angle $\\theta$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/002261.png | 002261 |
050090 | [
{
"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, explain why ∠ AOC and ∠ BOD are equivalent."
},
{
"from": "gpt",
"value": "The equivalence of ∠ AOC and ∠ BOD arises from the identical lengths of chords AC and BD, which subtend these angles. This is a fundamental characteristic in the geometry of circles where chords of the same length will always subtend equal angles at the center. So the answer is Chords AC and BD are of the same length, leading to equal angles ∠ AOC and ∠ BOD subtended at the circle's center.\nThe answer is Chords AC and BD are of the same length, leading to equal angles ∠ AOC and ∠ BOD subtended at the circle's center."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/050090.png | 050090 |
056605 | [
{
"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 length of $DF$ if $UV$ is 20 units and $DE$ is 3 units, given their proportionality?"
},
{
"from": "gpt",
"value": "Since the triangles are similar, the sides corresponding to $UV$ and $DE$ form a proportion, thus: $$\\frac{UV}{DF} = \\frac{20}{DF} = \\frac{UW}{DE} = \\frac{30}{3} = 10$$ Solving for $DF$: $$\\frac{20}{DF} = 10$$ Thus, $$DF = \\frac{20}{10} = 2$$ So the answer is 2\nThe answer is 2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056605.png | 056605 |
063589 | [
{
"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 does the function value approach as $x$ nears 6 from the negative side?"
},
{
"from": "gpt",
"value": "The plot of the function allows us to trace the path of $f(x)$ as $x$ moves closer to the number 6 from the left, pinpointing the function's value at this specific point. So the answer is 5\nThe answer is 5"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063589.png | 063589 |
046359 | [
{
"from": "human",
"value": "<image>\nAccording to 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 product of segments when three wholes are divided into quarters?\nChoices:\nA. 10\nB. 11\nC. 12\nD. 13"
},
{
"from": "gpt",
"value": "Reviewing the division of each whole into quarters and calculating to find the total number of all segments. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/046359.png | 046359 |
083183 | [
{
"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 smallest unit labelled on the scale?"
},
{
"from": "gpt",
"value": "Each label is given in kilograms. How do the labels increment?\n The labels increment by $10 \\mathrm{~kg}$.\n Smallest unit $=10 \\mathrm{~kg}$ So the answer is $10 \\mathrm{~kg}$\nThe answer is $10 \\mathrm{~kg}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083183.png | 083183 |
080964 | [
{
"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 dV\\) where \\(E\\) is the region inside both \\(x^2+y^2+z^2=36\\) and \\(z=-\\sqrt{3x^2+3y^2}\\)."
},
{
"from": "gpt",
"value": "Now, since we are integrating over a portion of a sphere it makes sense to use spherical coordinate for the integral.\nThe limits for $\\rho$ and $\\theta$ should be pretty clear as those just correspond to the radius of the sphere and to how much of the sphere we get by rotating about the $z$-axis.\n\nThe limits for $\\varphi$ however aren't explicitly given in any way but we can get them from the equation of the cone. First. we know that, in terms of cylindrical coordinates, $\\sqrt{x^2+y^2}=r$ and we know that, in terms of spherical coordinates, $r=\\rho \\sin \\varphi$. Therefore, if we convert the equation of the cone into spherical coordinates we get,\n$$\n\\rho \\cos \\varphi=-\\sqrt{3} \\rho \\sin \\varphi \\quad \\rightarrow \\quad \\tan \\varphi=-\\frac{1}{\\sqrt{3}} \\quad \\rightarrow \\quad \\varphi=\\frac{5 \\pi}{6}\n$$\n\nSo, the equation of the cone is given by $\\varphi=\\frac{5 \\pi}{6}$ in terms of spherical coordinates. Because the region we are working on is below the cone we know that $\\varphi$ must therefore range from $\\frac{5 \\pi}{6}$ to $\\pi$.\n\nThe limits are then.\n$$\n\\begin{gathered}\n\\frac{5 \\pi}{6} \\leq \\varphi \\leq \\pi \\\\\n0 \\leq \\theta \\leq 2 \\pi \\\\\n0 \\leq \\rho \\leq 6\n\\end{gathered}\n$$\n\nPlugging these limits into the integral and converting to spherical coordinates gives,\n$$\n\\begin{aligned}\n\\iiint_E x^2 d V=\\int_{\\frac{5 \\pi}{6}}^\\pi \\int_0^{2 \\pi} \\int_0^6(\\rho \\sin \\varphi \\cos \\theta)^2\\left(\\rho^2 \\sin \\varphi\\right) d \\rho d \\theta d \\varphi & =\\int_{\\frac{5 \\pi}{6}}^\\pi \\int_0^{2 \\pi} \\int_0^6 \\rho^4 \\sin ^3 \\varphi \\cos ^2 \\theta d \\rho d \\theta d \\varphi\n\\end{aligned}\n$$\n\nOkay, now all we need to do is evaluate the integral. Here is the $\\rho$ integration.\n$$\n\\begin{aligned}\n\\iiint_E x^2 d V & =\\left.\\int_{\\frac{5 \\pi}{6}}^\\pi \\int_0^{2 \\pi}\\left(\\frac{1}{5} \\rho^5 \\sin ^3 \\varphi \\cos ^2 \\theta\\right)\\right|_0 ^6 d \\theta d \\varphi \\\\\n& =\\int_{\\frac{5 \\pi}{6}}^\\pi \\int_0^{2 \\pi} \\frac{7776}{5} \\sin ^3 \\varphi \\cos ^2 \\theta d \\theta d \\varphi\n\\end{aligned}\n$$\n\nNext let's do the $\\theta$ integration.\n$$\n\\begin{aligned}\n\\iiint_E x^2 d V & =\\int_{\\frac{5 \\pi}{6}}^\\pi \\int_0^{2 \\pi} \\frac{7776}{5} \\sin ^3 \\varphi\\left(\\frac{1}{2}\\right)(1+\\cos (2 \\theta)) d \\theta d \\varphi \\\\\n& =\\left.\\int_{\\frac{5 \\pi}{6}}^\\pi\\left(\\frac{3888}{5} \\sin ^3 \\varphi\\left(\\theta+\\frac{1}{2} \\sin (2 \\theta)\\right)\\right)\\right|_0 ^{2 \\pi} d \\varphi \\\\\n& =\\int_{\\frac{5 \\pi}{6}}^\\pi \\frac{7776}{5} \\pi \\sin ^3 \\varphi d \\varphi\n\\end{aligned}\n$$\n\nFinally, we'll do the $\\varphi$ integration.\n$$\n\\begin{aligned}\n\\iiint_B x^2 d V & =\\int_{\\frac{5 \\pi}{6}}^\\pi \\frac{7776}{5} \\pi \\sin ^2 \\varphi \\sin \\varphi d \\varphi \\\\\n& =\\int_{\\frac{5 \\pi}{6}}^\\pi \\frac{7776}{5} \\pi\\left(1-\\cos ^2 \\varphi\\right) \\sin \\varphi d \\varphi \\\\\n& =\\left.\\left(-\\frac{7776}{5} \\pi\\left(\\cos \\varphi-\\frac{1}{3} \\cos ^3 \\varphi\\right)\\right)\\right|_{\\frac{5 \\pi}{6}} ^\\pi=\\frac{7776}{5} \\pi\\left(\\frac{2}{3}-\\frac{3 \\sqrt{3}}{8}\\right)=83.7799\n\\end{aligned}\n$$ So the answer is 83.7799\nThe answer is 83.7799"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080964.png | 080964 |
028433 | [
{
"from": "human",
"value": "<image>\nAccording to 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 $k$ if $g(x)$ is shifted 3 units to the left?\nChoices:\nA. 3\nB. -3\nC. 0\nD. 1"
},
{
"from": "gpt",
"value": "The function exhibits a leftward shift by 3 units implying $g(x) = f(x+3)$. Therefore, $k = 3$. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028433.png | 028433 |
018065 | [
{
"from": "human",
"value": "<image>\nAccording to 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 x equals 3, what is the area of the rectangle?\nChoices:\nA. 15\nB. 20\nC. 30\nD. 25"
},
{
"from": "gpt",
"value": "Substituting $x = 3$ into the formula $10x$, the area of the rectangle would be $10 \\times 3 = 30$. Hence, the area is 30 square units. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/018065.png | 018065 |
082608 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: How many companies have at least 30 employees but less than 50 employees?"
},
{
"from": "gpt",
"value": "Count all the leaves in the rows with stems 3 and 4.\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 companies have at least 30 employees but less than 50 employees. So the answer is 4\nThe answer is 4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082608.png | 082608 |
016044 | [
{
"from": "human",
"value": "<image>\nAccording to 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 the smallest?\nChoices:\nA. $\\angle R U S$\nB. $\\angle S U T$\nC. $\\angle R U T$\nD. They are all equal"
},
{
"from": "gpt",
"value": "Given $m \\angle R U S = 145^\\circ$, $m \\angle S U T = 90^\\circ$, and $m \\angle R U T = 125^\\circ$, the smallest angle is $m \\angle S U T$ at 90 degrees. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/016044.png | 016044 |
000638 | [
{
"from": "human",
"value": "<image>\nAccording to 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 sum of angles BDC and CBD?\nChoices:\nA. 180 degrees\nB. 90 degrees\nC. 160 degrees\nD. 20 degrees"
},
{
"from": "gpt",
"value": "The sum of angles BDC and CBD would total to 20 degrees as described in the analysis pointing out angle measures making use of the diagram's layout and marked angles. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/000638.png | 000638 |
048645 | [
{
"from": "human",
"value": "<image>\nAccording to 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 total tens and ones are together?\nChoices:\nA. 29\nB. 39\nC. 11\nD. 21"
},
{
"from": "gpt",
"value": "The sum of tens (2 x 10) and ones (9) gives a total of 29. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/048645.png | 048645 |
083424 | [
{
"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 x and give reasons for your answer."
},
{
"from": "gpt",
"value": "Find a relation involving x.\n\nUse the relation between angle at the centre and angle at the circumference.\n\nState your reason:\n2x=120\n(Angle at the centre of a circle is twice the angle at its circumference)\nEvaluate x. \\n 60 So the answer is 60\nThe answer is 60"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083424.png | 083424 |
030599 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, if the area of the shaded region is 15 cm squared, what is the total area of the figure?\nChoices:\nA. 25 cm squared\nB. 30 cm squared\nC. 50 cm squared\nD. Cannot be determined"
},
{
"from": "gpt",
"value": "If the shaded region is a portion of the entire figure, the total area needs additional measurements beyond just one portion and cannot be determined solely from the shaded area. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/030599.png | 030599 |
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