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084204 | [
{
"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 area of the circle is 10 (cm)^2. Find the area of the shaded sector.\n\nRound your answer to two decimal places."
},
{
"from": "gpt",
"value": "The area of the sector is given by the fraction of the circle the sector covers, multiplied by the total area of the circle.\n\nWe are given the area of the circle what fraction of the circle does the secto cover?\n\nThe fraction covered is given by\n\nFraction covered $=\\left(\\frac{\\theta}{360^{\\circ}}\\right)$\n\nand the area is $10 \\mathrm{~cm}^{2}$\n\nArea $=\\frac{126^{\\circ}}{360^{\\circ}} \\times 10 \\mathrm{~cm}^{2}$\n\nEvaluate the expression using your calculator.\n\nRemember to give your answer to two decimal places.\n\nArea $=3.50 \\mathrm{~cm}^{2}$ So the answer is Area $=3.50 \\mathrm{~cm}^{2}$\nThe answer is Area $=3.50 \\mathrm{~cm}^{2}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084204.png | 084204 |
080523 | [
{
"from": "human",
"value": "<image>\nAccording to 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 length of the arc $DC$?\nChoices:\nA. $\\pi / 4$\nB. $2 \\pi / 3$\nC. $\\pi / 2$\nD. $3 \\pi / 4$\nE. $4 \\pi / 3$"
},
{
"from": "gpt",
"value": "Now, in $\\triangle D O C$ since $O D$ and $O C$ are radii of the circle, both equal 2. So, $O D=O C=2$. Since $D C$ also equals 2 (in figure given), $O D=O C=D C=2$ (all three sides are equal). Hence, the triangle is equilateral and each angle must equal $60^{\\circ}$, including $\\angle D O C$. Now, the circumference of the given circle equals $2 \\pi \\times$ radius $=2 \\pi(2)=4 \\pi$. The fraction of the complete angle that the arc $D C$ makes in the circle is $60^{\\circ} / 360^{\\circ}=1 / 6$. The arc length would also be the same fraction of the circumference of the circle. Hence, the arc length equals $1 / 6 \\times 4 \\pi=2 \\pi / 3$. The answer is $2 \\pi / 3$. So the answer is B\nAnswer: $2 \\pi / 3$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/080523.png | 080523 |
011528 | [
{
"from": "human",
"value": "<image>\nAccording to 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 2 is smaller than angle 1, which side comparison is correct?\nChoices:\nA. AB > AC\nB. BC > AB\nC. AC < BC\nD. AB < BC"
},
{
"from": "gpt",
"value": "From the triangle property that the side opposite the larger angle is longer, if angle 1 is greater than angle 2, then the side opposite to angle 1 (BC) is longer than the side opposite to angle 2 (AC). Thus AC < BC. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/011528.png | 011528 |
082279 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Using your answer to part (a), which of the following statements is correct?\nChoices:\nA. There were 476 Iphone users in 2015.\nB. There were 476 million Iphone users in 2015.\nC. There were 476 million smart phone users in 2015.\nD. There were 476 million smart phone users in 2015."
},
{
"from": "gpt",
"value": "In part (a) we found that $y=476$. Looking back at the table, what does $y$ represent?\n\nThe numbers in the second column of the table are all given in millions. In particular, $y$ was used to represent the number of Iphone users. \nThere were 476 million Iphone users in 2015. So the answer is B\nAnswer: There were 476 million Iphone users in 2015."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082279.png | 082279 |
082287 | [
{
"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: Sally states that her trip between Brisbane and Townsville had an average speed of 91 km/h. How long did it take Sally to travel from Brisbane to Townsville? Give your answer correct to two decimal places."
},
{
"from": "gpt",
"value": "The distance between Brisbane and Townsville is given by the number in the table that is at the intersection of the row and column labelled 'Brisbane' and 'Townsville'. How can we relate the distance travelled and the average speed that was given to find the total time?The total time taken equals total distance travelled divided by average speed.= \\frac{1467}{91} hours.Use your calculator to evaluate. Remember to give your answer correct to two decimal places.\\n 16.12 hours So the answer is 16.12 hours\nThe answer is 16.12 hours"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082287.png | 082287 |
079535 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Therefore, is $\\triangle ABC$ similar to $\\triangle BDE$?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "For 2 triangles to be similar, the ratio of corresponding sides must be equal.\n\nAre the ratio of sides in $\\triangle A B C$ equivalent to the corresponding ratio of sides in $\\triangle B D E$ ?\n\nYes So the answer is A\nAnswer: Yes"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/079535.png | 079535 |
060954 | [
{
"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 $y$-intercept of the graph."
},
{
"from": "gpt",
"value": "The $y$-intercept is the point where the graph intersects the $y$-axis. By examining where this occurs in the image, the value can be identified. So the answer is The $y$-intercept can be determined by seeing where the graph crosses the $y$-axis\nThe answer is The $y$-intercept can be determined by seeing where the graph crosses the $y$-axis"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060954.png | 060954 |
075786 | [
{
"from": "human",
"value": "<image>\nAccording to 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 y=0 ever achieved on the graph of y=4^x when x is any negative number?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "As x takes negative values, y approaches zero by becoming increasingly smaller fractions like 1/4^{10}, 1/4^{30}, etc. Though these values get very close to 0, they never actually reach 0. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075786.png | 075786 |
056343 | [
{
"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 far would one travel if they walked around the edge of the circle once?"
},
{
"from": "gpt",
"value": "The distance around the circle, or the circumference, can be found using the formula $C = 2\\pi r$. The radius from the image is 3 feet, then $C = 2\\times 3.14\\times 3 = 18.84$ feet. So the answer is 18.84 feet\nThe answer is 18.84 feet"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/056343.png | 056343 |
015470 | [
{
"from": "human",
"value": "<image>\nAccording to 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 polygon is depicted?\nChoices:\nA. Quadrilateral\nB. Pentagon\nC. Hexagon\nD. Octagon\nE. Circle"
},
{
"from": "gpt",
"value": "The shape has four sides, which defines it as a quadrilateral. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/015470.png | 015470 |
060463 | [
{
"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 sinusoidal function's horizontal midline?"
},
{
"from": "gpt",
"value": "To identify the horizontal midline of the sinusoidal function shown in the image, assess the minimum value and amplitude provided. By adding the amplitude (1.5) to the minimum value (1.5), the y-coordinate for the midline, which bisects the maximum and minimum points of the function, can be determined. So the answer is y = 3\nThe answer is y = 3"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060463.png | 060463 |
005742 | [
{
"from": "human",
"value": "<image>\nAccording to 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 next step in solving for the shortest side length of the kite given the perimeter.\nChoices:\nA. Add lengths\nB. Subtract side length from perimeter\nC. Divide the perimeter by 4\nD. Subtract total known lengths from perimeter"
},
{
"from": "gpt",
"value": "Given the formula of perimeter equals twice one side plus twice the other, subtract the twice the length of the already known longer side from the perimeter. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/005742.png | 005742 |
065361 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the ratio of games won to games lost by the baseball team in the first seven weeks?"
},
{
"from": "gpt",
"value": "The ratio can be calculated from the chart data: 29 games won to 21 losses, which gives a ratio of 29:21. So the answer is 29:21\nThe answer is 29:21"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065361.png | 065361 |
076791 | [
{
"from": "human",
"value": "<image>\nAccording to 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 top of the circular plate assumed to be 6 meters under the water?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The problem states that the top of the circular plate is 6 meters under the water. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/076791.png | 076791 |
029601 | [
{
"from": "human",
"value": "<image>\nAccording to 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 continuous or does it contain any breaks?\nChoices:\nA. Continuous\nB. Contains breaks"
},
{
"from": "gpt",
"value": "The line in the graph is unbroken and continuous across the displayed range. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/029601.png | 029601 |
022698 | [
{
"from": "human",
"value": "<image>\nAccording to 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 diameter of the cylinder is doubled while keeping the height same, what will be the new volume of the cylinder?\nChoices:\nA. $4 \\pi x^3$\nB. $8 \\pi x^3$\nC. $2 \\pi x^3$\nD. $16 \\pi x^3$"
},
{
"from": "gpt",
"value": "Doubling the diameter of the cylinder results in quadrupling its volume, because the volume of a cylinder is directly proportional to the square of its radius, hence the new volume is $8 \\pi x^3$. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/022698.png | 022698 |
012881 | [
{
"from": "human",
"value": "<image>\nAccording to 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 figure symmetrical about any axis?\nChoices:\nA. Yes, horizontally\nB. Yes, vertically\nC. Yes, diagonally\nD. Yes, both horizontally and vertically\nE. No"
},
{
"from": "gpt",
"value": "Inspect the figure's layout for symmetry by envisioning or sketching axes through the figure, observing how it mirrors on opposite sides of each axis. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/012881.png | 012881 |
036398 | [
{
"from": "human",
"value": "<image>\nAccording to 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 set of cities has the most similar temperatures?\nChoices:\nA. Paris and London\nB. Paris and Vancouver\nC. Beijing and Vancouver\nD. London and Vancouver"
},
{
"from": "gpt",
"value": "Analyze the temperature data for similarity in the image, seeing which cities have the closest temperatures. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/036398.png | 036398 |
021255 | [
{
"from": "human",
"value": "<image>\nAccording to 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 there are two rectangular faces visible from the top, how many units are their widths apart?\nChoices:\nA. 5 units\nB. 10 units\nC. 15 units\nD. 20 units"
},
{
"from": "gpt",
"value": "The difference between the widths of the two rectangles visible from the top (19 units and 14 units) is 5 units. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/021255.png | 021255 |
061365 | [
{
"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 is the function $g(x)$ related to $f(x)$ in terms of vertical scaling?"
},
{
"from": "gpt",
"value": "By observing how the heights of corresponding points on the graphs of $f(x)$ and $g(x)$ compare, one should notice that every point on $g(x)$ is a fraction of the height of the points on $f(x)$. This suggests a vertical compression by a certain factor, which is determined to be $\frac{1}{4}$. So the answer is $g(x) = \\frac{1}{4} f(x)$\nThe answer is $g(x) = \\frac{1}{4} f(x)$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/061365.png | 061365 |
078730 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is the number 38 a whole number?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Whole numbers are non-negative integers. Since 38 is a non-negative integer, it is also a whole number. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/078730.png | 078730 |
006788 | [
{
"from": "human",
"value": "<image>\nAccording to 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, name the type of angles marked in the triangle?\nChoices:\nA. Acute angles\nB. Obtuse angles\nC. Right angles\nD. Straight angles"
},
{
"from": "gpt",
"value": "From the diagram, by examining the base angles, we can conclude that they are acute angles. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/006788.png | 006788 |
012680 | [
{
"from": "human",
"value": "<image>\nAccording to 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 geometric property does line segment $AB$ exhibit?\nChoices:\nA. Parallel to CD\nB. Perpendicular to CD\nC. Bisects CD\nD. None of the above"
},
{
"from": "gpt",
"value": "Analyzing the spatial relation of line segment $AB$ with line segment $CD$ in the image. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/012680.png | 012680 |
050589 | [
{
"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 which side is perpendicular to side X."
},
{
"from": "gpt",
"value": "In a right triangle featured in the image, the side perpendicular to another is also one of the legs meeting at the right angle. The side not depicted as the hypotenuse or side X will be perpendicular to X. So the answer is The side perpendicular to X is Y.\nThe answer is The side perpendicular to X is Y."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/050589.png | 050589 |
072161 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is it incorrect to claim that angle 1 is greater than angle C, given angles B and C are equal in a triangle with two equal sides, and angle 1 is greater than angle B?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Angle B equals angle C as they are opposite equal sides in the triangle. From angle 1 being greater than angle B, we establish a corrected inference that angle 1 is indeed greater than angle C. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072161.png | 072161 |
085579 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Sarah kicked a ball in the air. The function\n\\[f\\] models the height of the ball (in meters) as a function of time (in seconds) after Sarah kicked it.\nWhich of these statements are true?\nChoose all answers that apply:\nChoices:\nA. The ball moved upwards for about $3.5 \\mathrm{~s}$.\nB. \nC. The ball started moving upwards after about $1.75 \\mathrm{~s}$.\nD. \nE. The ball hit the ground after about $3.5 \\mathrm{~s}$.\nF. \nG. The ball hit the ground after about $1.75 \\mathrm{~s}$."
},
{
"from": "gpt",
"value": "There are two pairs of statements. Each pair is about a different property:\n1. The first pair is about the time period when the ball moved upwards. This is a description of an increasing function.\n2. The second pair is about the time it took the ball to hit the ground. The second $x$-intercept represents this.\n\nThe time period when the ball moved upwards\n\nLet's see where the function increases.\nWe can see that the function increases until about $1.75 \\mathrm{~s}$, not after it, and not for $3.5 \\mathrm{~s}$.\n\nThe time it took the ball to hit the ground\nLet's look at the $x$-intercept.\nWe can see that time at the x-intercept is about 3.5 s. \\n The ball hit the ground after about $3.5 \\mathrm{~s}$. So the answer is E\nAnswer: The ball hit the ground after about $3.5 \\mathrm{~s}$."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085579.png | 085579 |
081444 | [
{
"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 would y equal when x=0?"
},
{
"from": "gpt",
"value": "Consider the rate at which $y$ is increasing. At this rate, what would the value of $y$ have been when $x=0$ ?\n For every 1 unit increase in $x, y$ is increasing by 4 .\n $y=0$ So the answer is $y=0$\nThe answer is $y=0$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081444.png | 081444 |
060510 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the vertical distance from the midline to the highest point of the graphed function?"
},
{
"from": "gpt",
"value": "The amplitude of a sinusoidal graph is the measure from the midline to the peak. It quantifies the maximum displacement from the central value. So the answer is Amplitude\nThe answer is Amplitude"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060510.png | 060510 |
082788 | [
{
"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 cost of each additional minute?"
},
{
"from": "gpt",
"value": "How much more does a 2 -minute call cost than a 1 -minute call?\n\nCost $=0.20$ dollars So the answer is Cost $=0.20$ dollars\nThe answer is Cost $=0.20$ dollars"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082788.png | 082788 |
049534 | [
{
"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 perimeter of the right triangle if sides $a$, $b$, and hypotenuse $c$ are known?"
},
{
"from": "gpt",
"value": "The perimeter of a right triangle is the sum of the lengths of all three sides: the base $b$, the height $a$, and the hypotenuse $c$. The formula is: $$ \\text{Perimeter} = a + b + c $$. So the answer is Perimeter = a + b + c\nThe answer is Perimeter = a + b + c"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/049534.png | 049534 |
052139 | [
{
"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 rectangle."
},
{
"from": "gpt",
"value": "Perimeter of a rectangle is given by the formula $2(l + w)$. For a length of $9 \\mathrm{~m}$ and a width of $6 \\mathrm{~m}$, the perimeter calculates as $2(9 + 6) = 30 \\mathrm{~m}$. So the answer is 30 \\mathrm{~m}\nThe answer is 30 \\mathrm{~m}"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052139.png | 052139 |
018872 | [
{
"from": "human",
"value": "<image>\nAccording to 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 equation represents the cylinder that intersects with another cylinder along the z-axis?\nChoices:\nA. x^2 + y^2 = 4\nB. x^2 + z^2 = 4\nC. y^2 + z^2 = 4\nD. x^2 + y^2 = 8"
},
{
"from": "gpt",
"value": "The image displays two cylinders intersecting each other, one with a rotation around the z-axis. For such a cylinder with a radius of 2 units and oriented along the z-axis, the proper equation, based on typical coordinate orientation, is x^2 + y^2 = 4. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/018872.png | 018872 |
003533 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, determine the method to find the center of the circle by using just a chord.\nChoices:\nA. Drawing perpendiculars at endpoints\nB. Measuring radius directly\nC. Extending the chord to touch the circumference\nD. Using a protractor"
},
{
"from": "gpt",
"value": "By constructing the perpendicular bisector of a chord and extending it, it will pass through the center of the circle. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/003533.png | 003533 |
075313 | [
{
"from": "human",
"value": "<image>\nAccording to 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 rise between Point A(-4,0) and Point B(-2,3) a negative value?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Since the y-coordinate of Point B (3) is higher than that of Point A (0), the rise is positive. Calculating the rise results in 3 - 0 = 3, which is a positive value. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075313.png | 075313 |
049600 | [
{
"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 polynomial in two variables represents a specific algebraic expression?"
},
{
"from": "gpt",
"value": "When analyzing the total area represented by polynomial expressions, multiply the terms of each side’s polynomial expression found within the layout of the image. For example, for sides represented as $(7x+4y)$ and $(6x+5y)$, their product, calculated by the distributive property, which follows $(A+B)(C+D)=AC+AD+BC+BD$, yields a new polynomial expression. So the answer is $42x^2 + 59xy + 20y^2$\nThe answer is $42x^2 + 59xy + 20y^2$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/049600.png | 049600 |
081110 | [
{
"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 surface area of the two circular faces of the cylinder? Round your answer to two decimal places."
},
{
"from": "gpt",
"value": "We can find the area of a circle using the formula:A=\\pi \\times r^2.Remember that we want to find the area of two identical circles.Surface Area = A=\\pi \\times r^2 \\text { units }^2.Surface Area = 72\\pi \\text { units }^2.Evaluate the expression, rounding to two decimal places. \\n 226.19 \\text { units }^2 So the answer is 226.19 \\text { units }^2\nThe answer is 226.19 \\text { units }^2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/081110.png | 081110 |
002622 | [
{
"from": "human",
"value": "<image>\nAccording to 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 $c$, rounded to two decimal places?\nChoices:\nA. $c=8.35$\nB. $c=9.22$\nC. $c=9.49$\nD. $c=10.21$"
},
{
"from": "gpt",
"value": "Using a calculator to find the square root of 90, and rounding to two decimals places, we find $c = 9.49$. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/002622.png | 002622 |
017006 | [
{
"from": "human",
"value": "<image>\nAccording to 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 orientation of the smaller hexagon compared to the larger one?\nChoices:\nA. Aligned\nB. Rotated\nC. Flipped\nD. Random"
},
{
"from": "gpt",
"value": "The relative angular orientation between the two hexagons is assessed for alignment or discrepancy. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/017006.png | 017006 |
086503 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: During what year did consumer prices rise fastest?\nChoices:\nA. 1983\nB. 1985\nC. 1987\nD. 1988\nE. 1989"
},
{
"from": "gpt",
"value": "1989 is correct. The slope of the consumer graph is clearly steepest in 1989. So the answer is E\nAnswer: 1989"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086503.png | 086503 |
037248 | [
{
"from": "human",
"value": "<image>\nAccording to 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, after how many minutes does the count of single skips double the initial amount?\nChoices:\nA. 1 minute\nB. 2 minutes\nC. 3 minutes\nD. 4 minutes"
},
{
"from": "gpt",
"value": "Analyse the numbers shown for single skips across the minutes to find out when it doubles the count shown at the start. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/037248.png | 037248 |
029092 | [
{
"from": "human",
"value": "<image>\nAccording to 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 figure have?\nChoices:\nA. 1\nB. 2\nC. 3\nD. 4"
},
{
"from": "gpt",
"value": "The figure in the image needs to be evaluated for lines that divide it into equal mirrored portions. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/029092.png | 029092 |
072563 | [
{
"from": "human",
"value": "<image>\nAccording to 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 sum of four angles equates to more than 360°, would their average still be 90°?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The premise of an average being 90° applies only if the sum equals 360°. If it’s more, the average wouldn’t be 90°, violating the provided average formula. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072563.png | 072563 |
059072 | [
{
"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 can the surface area of the solid be computed?"
},
{
"from": "gpt",
"value": "The method to compute the surface area involves evaluating and summing the areas of all visible sides of the solid. The top and bottom are rectangles, each being $3 \\times 2 \\times 24$, and the four sides consist of squares with each face having an area computed as $2 \\times 2$. So the answer is sum of the areas of the top, bottom and four faces\nThe answer is sum of the areas of the top, bottom and four faces"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/059072.png | 059072 |
085434 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Consider the following graph:\nWhat is the ratio of distance to time plotted on the graph?\nChoices:\nA. 4:1\nB. 1:4"
},
{
"from": "gpt",
"value": "As we're looking for the ratio of distance to time, we're looking for the change in distance per 1 unit change in time. \n That is, the ratio is of the form $y: x$. Pick a point on the graph to help you.\n Notice that one point on the graph is $x=5, y=20$.\n This means that the ratio of distance to time is 20 to 5 .\n Simplifying this ratio, what do we get? \n $4:1$ So the answer is A\nAnswer: 4:1"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085434.png | 085434 |
055078 | [
{
"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 the arc through which the car travels from point A to B?"
},
{
"from": "gpt",
"value": "To compute the arc length $S$ for the car's path from point A to B, the formula $S = R\\theta$ is used where $\\theta$ is the central angle in radians. First, converting $60^\\circ$ to radians gives $\\theta = \\frac{\\pi}{3}$. Assuming radius $R = \\frac{1}{2}$, then $S = \\frac{1}{2} \\times \\frac{\\pi}{3} = \\frac{\\pi}{6}$. So the answer is π/6\nThe answer is π/6"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055078.png | 055078 |
066318 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, describe the mathematical recursive formula that dictates the formation of the sequence and specify the value of the initial term."
},
{
"from": "gpt",
"value": "In the depiction, each subsequent term in the sequence is calculated by multiplying the preceding term by 2, demonstrating a consistent multiplying factor. The graphic also clearly marks the sequence's commencement at 1. So the answer is $T_{n}=2 T_{n-1}, T_{1}=1$\nThe answer is $T_{n}=2 T_{n-1}, T_{1}=1$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/066318.png | 066318 |
057713 | [
{
"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 radius of the hemisphere?"
},
{
"from": "gpt",
"value": "The image shows a hemisphere and specifies its diameter. To find the radius, we divide the diameter by 2. So the answer is Radius = Diameter / 2\nThe answer is Radius = Diameter / 2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057713.png | 057713 |
034042 | [
{
"from": "human",
"value": "<image>\nAccording to 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 $f(x)$ behave around the point $x=1$?\nChoices:\nA. Stable\nB. Unstable\nC. Oscillatory\nD. Unpredictable"
},
{
"from": "gpt",
"value": "The graph shows a stable approach towards a single value (3) as $x$ approaches 1 from either side. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/034042.png | 034042 |
006912 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how can we express the relationship of $x$ to the $50$ degrees angle on the circumference of the circle? \nChoices:\nA. x = 50 degrees\nB. x = 100 degrees\nC. x = 2 * 50 degrees\nD. x = 50 / 2 degrees"
},
{
"from": "gpt",
"value": "The relation can be expressed as $x=2 * 50$ degrees, because the angle at the center of a circle is twice the angle at its circumference. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/006912.png | 006912 |
065764 | [
{
"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 customers did not pick only one flower?"
},
{
"from": "gpt",
"value": "According to the data in the image, to find how many customers did not pick just one flower, you would exclude the column or number for customers who picked exactly one flower and sum up the rest of the counts. This includes counting how many marks are under the categories 2, 3, 4, and 5 flowers. So the answer is 22 customers did not pick only one flower.\nThe answer is 22 customers did not pick only one flower."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/065764.png | 065764 |
083495 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Consider the following trapezium.\n\nFirst, find the value of $a$."
},
{
"from": "gpt",
"value": "Remember that a rectangle has 2 pairs of equal and parallel sides.\n\nSince $A B C E$ is a rectangle, side $E C$ would be equal to side $A B$.\n\n$a=6 \\mathrm{~cm}$ So the answer is $a=6 \\mathrm{~cm}$\nThe answer is $a=6 \\mathrm{~cm}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/083495.png | 083495 |
033225 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, identify the type of function represented by the line.\nChoices:\nA. Quadratic function\nB. Linear function\nC. Exponential function\nD. Cubic function"
},
{
"from": "gpt",
"value": "The line has a constant slope and passes through two points, indicating it is a linear function without any curvature. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033225.png | 033225 |
077613 | [
{
"from": "human",
"value": "<image>\nAccording to 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 exponential curve of electric car sales, was there a drop in the number of cars sold in any year from 2008 to 2018?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The concept of an exponential growth curve implies a continuous increase, therefore, there should not be any year between 2008 and 2018 where the sales dropped according to the modeled trend. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/077613.png | 077613 |
075061 | [
{
"from": "human",
"value": "<image>\nAccording to 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 x-coordinate of point B incorrectly described as lying on the right side of the y-axis?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The equation y = -x^2 with y = -4 provides x-coordinates of 2 or -2. As point B is mentioned to be on the left side of the y-axis, describing it on the right would be incorrect. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/075061.png | 075061 |
048879 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, determine the number of tenths and hundredths.\nChoices:\nA. 7 and 3\nB. 5 and 7\nC. 10 and 100\nD. 3 and 10"
},
{
"from": "gpt",
"value": "The image shows 7 tenths and 3 hundredths in form of small cubes. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/048879.png | 048879 |
084080 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: A point P lies 19 cm from the centre of a circle with a radius of 10 cm. The two tangents through the point P contact the circle at R and O.\n\nConsider the major arc between the two points of contact.\n\nWhat is the major arc between the two points of contact?\nChoices:\nA. The are length M.\nB. The segment PR.\nC. The are length m.\nD. The length RO.\nE. The chord RQ."
},
{
"from": "gpt",
"value": "Given two points on a circle, the major arc is the longer of the two arcs joining them. \\n The are length M. So the answer is A\nAnswer: The are length M."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084080.png | 084080 |
038258 | [
{
"from": "human",
"value": "<image>\nAccording to 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 more backdoors were solved in 2002 compared to 1999?\nChoices:\nA. 50\nB. 100\nC. 150\nD. 200"
},
{
"from": "gpt",
"value": "In 1999, the number of backdoors solved was 1700 and in 2002, it was 1800, suggesting an increase of 1800 - 1700 = 100. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038258.png | 038258 |
063361 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, is the area under the curve approximated using upper rectangles, lower rectangles, or mid-rectangles?"
},
{
"from": "gpt",
"value": "The approximation to the area under the curve is carried out using three upper rectangles in this problem. So the answer is Upper rectangles\nThe answer is Upper rectangles"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063361.png | 063361 |
076066 | [
{
"from": "human",
"value": "<image>\nAccording to 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 point (-1,1) a solution of the graphed system of inequalities?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The point (-1,1) does not fall within the shaded areas of the inequalities, making it an unsuitable solution. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/076066.png | 076066 |
028055 | [
{
"from": "human",
"value": "<image>\nAccording to 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 slope of the line $y=-2 x+8$ positive or negative?\nChoices:\nA. Positive\nB. Negative"
},
{
"from": "gpt",
"value": "The slope of the line given by the equation $y=-2 x+8$ is determined by the coefficient of $x$. In this equation, the coefficient of $x$ is $-2$, which means that the slope of the line is negative. When observing the graph, this corresponds to the line falling from left to right. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/028055.png | 028055 |
045508 | [
{
"from": "human",
"value": "<image>\nAccording to 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 shapes are congruent?\nChoices:\nA. Squares\nB. Triangles\nC. Rectangles\nD. No congruent shapes"
},
{
"from": "gpt",
"value": "Compare the shapes by size and form to determine which are identical in measure. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/045508.png | 045508 |
004886 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, can the triangle be inscribed in a circle?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Check if the triangle is a right triangle, as every right triangle can be inscribed in a circle with the hypotenuse as a diameter. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/004886.png | 004886 |
039034 | [
{
"from": "human",
"value": "<image>\nAccording to 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, predict the future solar energy capacity for the year 2020, using the line of best fit.\nChoices:\nA. Higher than 2015\nB. Lower than 2015\nC. About the same as 2015\nD. Significantly below 2005 levels"
},
{
"from": "gpt",
"value": "Extending the linear equation y=23.682x-47,522 beyond 2015 suggests an increase in predicted solar capacity, thus higher than that observed in 2015. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/039034.png | 039034 |
000760 | [
{
"from": "human",
"value": "<image>\nAccording to 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 triangle AOB has an angle AOB of 120 degrees and the radius of the circle is 'r', what are the measures of the other angles in triangle AOB?\nChoices:\nA. 30 degrees each\nB. 60 degrees each\nC. 75 degrees each\nD. 45 degrees each"
},
{
"from": "gpt",
"value": "Knowing triangle AOB includes an angle AOB of 120 degrees and is an isosceles triangle (since OA = OB = radius), the remaining two angles are equal. Using the fact that the sum of angles in a triangle equals 180 degrees, the two other angles must each be (180 - 120) / 2 = 30 degrees. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/000760.png | 000760 |
060645 | [
{
"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 value of $x$ such that $h(x)=2$?"
},
{
"from": "gpt",
"value": "To solve for the value of $x$ when $h(x) = 2$, examine the graph in the image. Identify the $x$-coordinate of the point where the $y$-coordinate is 2. So the answer is x=4\nThe answer is x=4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060645.png | 060645 |
084458 | [
{
"from": "human",
"value": "<image>\nAccording to 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 figure to the right shows the path of a car moving around a circular racetrack. How many miles does the car travel in going from point A to point B ?\nChoices:\nA. $\\frac{\\pi}{6}$\nB. $\\frac{\\pi}{3}$\nC. $\\pi$\nD. 30\nE. 60"
},
{
"from": "gpt",
"value": "When calculating distance, degree measure must be converted to radian measure. To convert degree measure to radian measure, multiply by the conversion factor $\\frac{\\pi}{180}$. Multiplying $60^{\\circ}$ by $\\frac{\\pi}{180}$ yields $60 \\cdot \\frac{\\pi}{180}=\\frac{\\pi}{3}$. Now, the length of arc traveled by the car in moving from point $A$ to point $B$ is $S$. Plugging this information into the formula $S=R \\theta$ yields $S=\\frac{1}{2} \\cdot \\frac{\\pi}{3}=\\frac{\\pi}{6}$. The answer is $\\frac{\\pi}{6}$. So the answer is A\nAnswer: $\\frac{\\pi}{6}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/084458.png | 084458 |
040663 | [
{
"from": "human",
"value": "<image>\nAccording to 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 sequence do the plotted points originate from?\nChoices:\nA. Arithmetic sequence\nB. Geometric sequence\nC. Fibonacci sequence\nD. Quadratic sequence"
},
{
"from": "gpt",
"value": "The plotted points display a linear pattern with equal distances between the points, which is characteristic of an arithmetic sequence. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/040663.png | 040663 |
077985 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Is it unlikely for a mathematics major to have preferred science as their best subject in high school?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "No, it's not unlikely as a noticeable number, 43 out of 115, reported science as their favourite subject. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/077985.png | 077985 |
085678 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Consider the following graph of a line.\n\nWhat is the slope of the line shown in the graph?"
},
{
"from": "gpt",
"value": "The slope of a line is equal to the vertical 'rise' divided the by horizontal 'run'. The rise is the vertical difference between two points on a line, while the run is the horizontal difference between the same two points.\n\nThat is, if $\\left(x_{1}, y_{1}\\right)$ and $\\left(x_{2}, y_{2}\\right)$ are two points on the same line, then the slope of that line, $m$, is given by the formula $m=\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$.\n\nOne point on the line we are given is $(-5,0)$. Choose another point on the line and use these to calculate the slope.\n\nSlope $=\\frac{2}{5}$ So the answer is Slope $=\\frac{2}{5}$\nThe answer is Slope $=\\frac{2}{5}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085678.png | 085678 |
085754 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Consider the function $f$ graphed below.\n\nUse the graph to determine whether each of the given statements is true or false.\n\n$f(0)=16$\nChoices:\nA. True\nB. False"
},
{
"from": "gpt",
"value": "$f(0)$ is the function value when $x=0$. This corresponds to the $y$ intercept.\n\nIs the $y$-intercept 16 ?\n\nFalse So the answer is B\nAnswer: False"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085754.png | 085754 |
082144 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Below is the graph of $f(x)$. For the given points determine the value of $f(a)$. If any of the quantities do not exist clearly explain why."
},
{
"from": "gpt",
"value": "From the graph we can see that,\n$$\nf(5)=4\n$$\nbecause the closed dot is at the value of $y=4$. So the answer is 4\nThe answer is 4"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082144.png | 082144 |
087301 | [
{
"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: This model represents a division equation.\n\nComplete the equation to match the model.\n$$\n3.93 \\div 3=\n$$"
},
{
"from": "gpt",
"value": "The model shows $\\mathbf{3}$ groups of blocks.\nEach group has 1 one, 3 tenths, and 1 hundredth. This is the same as $\\mathbf{1 . 3 1}$.\nFind the number of ones, tenths, and hundredths in all.\n$3 \\times 1$ one $=3$ ones\n$3 \\times 3$ tenths $=9$ tenths\n$3 \\times 1$ hundredth $=3$ hundredths\n\nThere are 3 ones, 9 tenths, and 3 hundredths in all. This is the same as 3.93.\nThe model shows 3.93 divided into 3 groups of 1.31 .\n$$\n3.93 \\div 3=1.31\n$$ So the answer is 1.31\nThe answer is 1.31"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/087301.png | 087301 |
034407 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, determine the maximum radius of the graph $r=2+4\\cos\\theta$.\nChoices:\nA. 2 units\nB. 4 units\nC. 6 units\nD. 8 units"
},
{
"from": "gpt",
"value": "The maximum value occurs when $\\cos\\theta = 1$, yielding $r = 2 + 4 \\times 1 = 6$ units. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/034407.png | 034407 |
068496 | [
{
"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 could the precision of the scale be described?"
},
{
"from": "gpt",
"value": "The precision of a measurement scale is typically gauged by the smallest unit of measure it can accurately report, which is visible on the scale in the image. This provides insight into its capacity for fine measurements. So the answer is smallest unit of measure on the scale\nThe answer is smallest unit of measure on the scale"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/068496.png | 068496 |
021213 | [
{
"from": "human",
"value": "<image>\nAccording to 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 base area to the top area of the frustum?\nChoices:\nA. 1:1\nB. 2:1\nC. 3:1\nD. 4:1"
},
{
"from": "gpt",
"value": "This ratio can be calculated if the dimensions of both the top and base of the frustum are given in the image. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/021213.png | 021213 |
033747 | [
{
"from": "human",
"value": "<image>\nAccording to 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 one of the following values is closest to the limit of function $f(x)$ as $x$ approaches 3?\nChoices:\nA. 3.5\nB. 4\nC. 4.5\nD. 5"
},
{
"from": "gpt",
"value": "The graph shows that as $x$ approaches 3, the function $f(x)$ approaches the value 4, so the closest value is 4. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/033747.png | 033747 |
044808 | [
{
"from": "human",
"value": "<image>\nAccording to 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 2-dimensional shapes can be made visible by cutting the cone horizontally?\nChoices:\nA. Triangle\nB. Circle\nC. Rectangle\nD. Square"
},
{
"from": "gpt",
"value": "When a cone is cut horizontally, the resulting cross-section is always a circle, which is visible from the image. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/044808.png | 044808 |
038155 | [
{
"from": "human",
"value": "<image>\nAccording to 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 earnings difference between A and B over the year?\nChoices:\nA. 0\nB. 300\nC. 600\nD. 700"
},
{
"from": "gpt",
"value": "Considering the total earnings of A and B are $8400 and $8100 respectively, the difference in their earnings over the year is $300. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/038155.png | 038155 |
063449 | [
{
"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, evaluate the behavior of the graph as x approaches -2."
},
{
"from": "gpt",
"value": "As x approaches -2, the graph shows that the function values approach -1 from both sides. Thus, the limit at x = -2 exists and equals -1. $$\\lim_{x \\to -2} f(x) = -1$$. So the answer is -1\nThe answer is -1"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/063449.png | 063449 |
082984 | [
{
"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 salesperson wants to increase her average sales per day by $\\mathbf{20\\%}$ in the following week. What should her daily sales average be for the following week?"
},
{
"from": "gpt",
"value": "The question asks what the salesperson's average sales per day should be during the following week to achieve her goal of increasing sales by $20 \\%$. To find her average daily sales, find the total sales for the week shown in the chart and divide by the number of days. Rather than adding the sales for each individual day, use the column that shows the total week sales at the end of each day. At the end of Friday, the total sales were $\\$ 2,450$, making that amount the total sales for the week. There are 5 days in the week, so the average sales per day was $\\$ 2,450 \\div 5=\\$ 490$. Since the question is asking what the average daily sales would be if they increased by $20 \\%$, take $20 \\%$ of $\\$ 490$ to get $\\frac{20}{100} \\times \\$ 490=\\$ 98$. Since the desired increase would be $\\$ 98$, the desired average sales would be $\\$ 490+\\$ 98=\\$ 588$. The correct answer is 588. So the answer is 588\nThe answer is 588"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082984.png | 082984 |
055253 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, can the triangle shown be a right triangle?"
},
{
"from": "gpt",
"value": "Given the triangle has two sides that are radii of a circle and the vertex opposite the base lies on the circle, this layout suggests that the triangle can be a right triangle if the base of the triangle is the diameter of the circle. As neither radii alone is the diameter and sum do not add up to a diameter as shown, the triangle cannot be a right triangle under this configuration. So the answer is No, the triangle is not a right triangle.\nThe answer is No, the triangle is not a right triangle."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/055253.png | 055253 |
062499 | [
{
"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 cosine value of the angle at which point P is located."
},
{
"from": "gpt",
"value": "To determine the cosine value, the angle of rotation where point P is positioned on the unit circle must be known and used in the cosine calculation. So the answer is Cosine value of the angle\nThe answer is Cosine value of the angle"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/062499.png | 062499 |
057004 | [
{
"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 can you determine the total interior angle measure of the polygon shown?"
},
{
"from": "gpt",
"value": "Identify the type of polygon displayed in the image (a heptagon), and use the polygon angle sum formula: (n-2)*180, where n represents the number of sides. This calculation yields the total measure of the interior angles, confirming the properties of the heptagon. So the answer is 900 degrees\nThe answer is 900 degrees"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/057004.png | 057004 |
039494 | [
{
"from": "human",
"value": "<image>\nAccording to 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 denominator when calculating the annual rate of change between 2010 and 2011?\nChoices:\nA. 1 year\nB. 2 years\nC. 5 years\nD. 10 years"
},
{
"from": "gpt",
"value": "The denominator for calculating the annual rate of change in this particular case is the number of years between the two points in time, which for consecutive years is one. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/039494.png | 039494 |
046482 | [
{
"from": "human",
"value": "<image>\nAccording to 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 speedometer show speed in kilometres or miles?\nChoices:\nA. Kilometres\nB. Miles\nC. Both kilometres and miles\nD. Neither kilometres nor miles"
},
{
"from": "gpt",
"value": "The units of measurement are shown in the diagram. km/h stands for 'kilometres per hour'. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/046482.png | 046482 |
085489 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Consider the graph of the line.\n\nRewrite the equation of the line in standard form."
},
{
"from": "gpt",
"value": "The standard form of an equation is $A x+B y=C$ where $A$ is a positive integer.\n\nMove the variable terms of $y=-4 x+2$ to one side of the equation, and the constant to the other side.\n\nIn the final form, make sure that the coefficient of $x$ is positive.\n\n$4 x+y=2$ So the answer is $4 x+y=2$\nThe answer is $4 x+y=2$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/085489.png | 085489 |
087254 | [
{
"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: Preston wants to buy a remote control car. The sale price is $17. What was the original price?"
},
{
"from": "gpt",
"value": "Find the percent paid:\nTo find the percent paid, subtract the percent off from $100 \\%$.\n$$\n\\begin{aligned}\n\\text { percent paid } & =100 \\%-\\text { percent off } \\\\\n& =100 \\%-50 \\% \\\\\n& =50 \\%\n\\end{aligned}\n$$\n\nWith $50 \\%$ off, the percent paid is $50 \\%$.\nWrite an equation to solve for the original price:\nSince $50 \\%$ of the original price is equal to the sale price of $\\$ 17$, you can set up and solve an equation. Let $p$ represent the original price.\n$$\n\\begin{aligned}\n& 50 \\% \\cdot p=17 \\\\\n& \\frac{50}{100} \\cdot p=17 \\quad \\text { Write the percent as a fraction } \\\\\n& 0.5 \\cdot p=17 \\quad \\text { Write the fraction as a decimal } \\\\\n& \\frac{0.5 p}{0.5}=\\frac{17}{0.5} \\quad \\text { Divide both sides by } 0.5 \\\\\n& p=34 \\quad \\text { simplify } \\\\\n&\n\\end{aligned}\n$$\n\nThe original price was $\\$ 34$. So the answer is 34\nThe answer is 34"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/087254.png | 087254 |
060333 | [
{
"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 intersection points do the line and the parabola have?"
},
{
"from": "gpt",
"value": "From the illustrated graphs, one can count the exact points where the line intersects the parabola, which determines the number of solutions to the system of equations represented. So the answer is two points\nThe answer is two points"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/060333.png | 060333 |
058935 | [
{
"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 volume of the composite solid formed."
},
{
"from": "gpt",
"value": "To determine the volume, first calculate the base area by subtracting the area of the triangle from that of the rectangle. Use formulae: Area of Rectangle $=L \\times B$ and Area of Triangle $=\\frac{1}{2} \\times B \\times H$. Then, multiply this base area by the height of the solid to get the volume. So the answer is Volume $=\\left(7 \\times 6-\\frac{1}{2} \\times 3 \\times 3\\right) \\times 8 \\mathrm{~cm}^{3} = 300 \\mathrm{~cm}^{3}$\nThe answer is Volume $=\\left(7 \\times 6-\\frac{1}{2} \\times 3 \\times 3\\right) \\times 8 \\mathrm{~cm}^{3} = 300 \\mathrm{~cm}^{3}$"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/058935.png | 058935 |
052791 | [
{
"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, express the area of the rectangle in terms of a and b when given sides are 5ab and 9(a+b)."
},
{
"from": "gpt",
"value": "The area of a rectangle is calculated as the product of its sides, indicated here as 5ab and 9(a+b): \n\nArea = 5ab \times 9(a+b) \n\nStart solving by uniting constants together: \n\nArea = 45ab(a+b) \n\nFollowing through with algebraic expansion by distributing the terms gives: \n\nArea = 45ab \times a + 45ab \times b = 45a^2b + 45ab^2 So the answer is 45a^2b+45ab^2\nThe answer is 45a^2b+45ab^2"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052791.png | 052791 |
019969 | [
{
"from": "human",
"value": "<image>\nAccording to 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 necessary to calculate the area of the pyramid's base?\nChoices:\nA. The height of the pyramid\nB. The slant height of the pyramid\nC. The length of the base side\nD. The volume of the pyramid"
},
{
"from": "gpt",
"value": "To calculate the area of the pyramid's base, you need the length of the base side, which can be determined with the information provided in the image. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/019969.png | 019969 |
073733 | [
{
"from": "human",
"value": "<image>\nAccording to 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 converting dV into cylindrical coordinates introduce an additional factor of r?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "The conversion of the volume element dV into cylindrical coordinates results in an additional multiplying factor of r, as required in the cylindrical coordinates formulation. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/073733.png | 073733 |
086631 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: A stamp collector carefully recorded the postal rates of the stamps in his collection. U.S. first class postal rate\n\nWhat was the postal rate in $1950 ?$"
},
{
"from": "gpt",
"value": "Find 1950 on the graph. Look for the dot above 1950.\nU.S. first class postal rate\n\nThe postal rate was 3 cents in 1950 . So the answer is 3\nThe answer is 3"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/086631.png | 086631 |
004917 | [
{
"from": "human",
"value": "<image>\nAccording to 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 geometric shape is visible beside the triangle?\nChoices:\nA. Square\nB. Circle\nC. Rectangle\nD. None"
},
{
"from": "gpt",
"value": "Next to the triangle, there isn't any other geometric shape visible, making 'None' the correct answer. So the answer is D\nAnswer: D"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/004917.png | 004917 |
027607 | [
{
"from": "human",
"value": "<image>\nAccording to 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 line segment AB increasing or decreasing from left to right?\nChoices:\nA. Increasing\nB. Decreasing"
},
{
"from": "gpt",
"value": "The direction of change in a line from left to right can be determined from the image. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/027607.png | 027607 |
072953 | [
{
"from": "human",
"value": "<image>\nAccording to 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 length of AD matches DC, is it correct to categorize BD as a median within the triangle?\nChoices:\nA. Yes\nB. No"
},
{
"from": "gpt",
"value": "Aligning B with the midpoint D of AC, where AD is equal to DC, confirms that BD operates as a median. So the answer is A\nAnswer: A"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/072953.png | 072953 |
026031 | [
{
"from": "human",
"value": "<image>\nAccording to 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 amplitude and period of the function $D(t)$?\nChoices:\nA. Directly proportional\nB. Inversely proportional\nC. No definite relationship"
},
{
"from": "gpt",
"value": "Evaluating the relationship involves checking how changes in the period affect the amplitude or vice versa, typically in sinusoidal functions, these characteristics remain independent of each other. So the answer is C\nAnswer: C"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/026031.png | 026031 |
052508 | [
{
"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 whether the quadrilateral can be a rectangle and justify your answer."
},
{
"from": "gpt",
"value": "Rectangles are quadrilaterals with four right angles. Check if the sum of two consecutive angles given in the image, such as 85 degrees and 78 degrees, add up to 180 degrees which they don't, proving it is not a rectangle. So the answer is The quadrilateral cannot be a rectangle because no pair of consecutive angles are supplementary.\nThe answer is The quadrilateral cannot be a rectangle because no pair of consecutive angles are supplementary."
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/052508.png | 052508 |
015835 | [
{
"from": "human",
"value": "<image>\nAccording to 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 side AC to side BC?\nChoices:\nA. 3:4\nB. 4:3\nC. 1:1\nD. 2:1"
},
{
"from": "gpt",
"value": "The triangle depicted has side lengths forming a 3:4:5 triangle where AC is 40 and BC is 30, thus the ratio of AC to BC is 4:3. So the answer is B\nAnswer: B"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/015835.png | 015835 |
082171 | [
{
"from": "human",
"value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Use at least 6 decimal places of accuracy for your work."
},
{
"from": "gpt",
"value": "While it's not really needed to do the problem here is a sketch of the graph.\n\nWe know that we need to divide the interval $[-1,2]$ into 6 subintervals each with width,\n$$\n\\Delta x=\\frac{2-(-1)}{6}=\\frac{1}{2}\n$$\n\nThe endpoints of each of these subintervals are represented by the dots on the $x$ axis on the graph above.\nThe tick marks between each dot represents the midpoint of each of the subintervals. The $x$-values of the midpoints for each of the subintervals are then,\n$$\n-\\frac{3}{4}, \\quad-\\frac{1}{4}, \\quad \\frac{1}{4}, \\quad \\frac{3}{4}, \\quad \\frac{5}{4}, \\quad \\frac{7}{4}\n$$\n\nSo, to use the Midpoint Rule to approximate the value of the integral all we need to do is plug into the formula. Doing this gives,\n$$\n\\begin{aligned}\n\\int_{-1}^2 \\sqrt{\\mathbf{e}^{-x^2}+1} d x & \\approx\\left(\\frac{1}{2}\\right)\\left[f\\left(-\\frac{3}{4}\\right)+f\\left(-\\frac{1}{4}\\right)+f\\left(\\frac{1}{4}\\right)+f\\left(\\frac{3}{4}\\right)+f\\left(\\frac{5}{4}\\right)+f\\left(\\frac{7}{4}\\right)\\right] \\\\\n& =3.70700857\n\\end{aligned}\n$$ So the answer is 3.70700857\nThe answer is 3.70700857"
}
]
| mavis_math_metagen_processed_new.json | LLaVA-OneVision-Data/mavis_math_metagen/082171.png | 082171 |
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