id
stringlengths
6
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2
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stringlengths
6
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051091
[ { "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 value of ∠ BOC given ∠ AOC is known." }, { "from": "gpt", "value": "Since ∠ AOC is expressed as the sum of ∠ AOB and ∠ BOC, and knowing that ∠ AOC equals ∠ BOD which is ∠ BOC plus 27 degrees, ∠ BOC can be computed by subtracting 27 degrees from ∠ BOD. So the answer is ∠ BOC = ∠ BOD - 27\nThe answer is ∠ BOC = ∠ BOD - 27" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/051091.png
051091
073439
[ { "from": "human", "value": "<image>\nAccording to 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 area will be 40 square inches if we change base $b_2$ to 4 inches?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "If we change the size of base $b_2$ to 4 inches, keeping the base $b_1$ as 10 inches and height as 5 inches, the area would not be 40 square inches. The smaller the base, the less the area is. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/073439.png
073439
029370
[ { "from": "human", "value": "<image>\nAccording to 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 points of inflection does the function $h(x)$ have?\nChoices:\nA. 1\nB. 2\nC. 3\nD. None" }, { "from": "gpt", "value": "The graph possibly changes concavity at three points, which can be inferred by the changes in direction of curvature between turning points. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/029370.png
029370
075532
[ { "from": "human", "value": "<image>\nAccording to 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 first maximum point of the function y = cos(x - 30°) + 3 for x ≥ 0 at (30°, 4)?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The function y = cos(x - 30°) + 3 involves a rightward translation by 30° and an upward shift by 3 units. The first maximum point of cos x is at (0°, 1), translating this gives the first maximum at (30°, 4). So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/075532.png
075532
026969
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, are there any points of intersection of function f with the axes?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Points of intersection with axes can be directly observed from the graph.\nCheck whether function f crosses the x-axis or the y-axis at any point by inspecting its plot. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/026969.png
026969
075043
[ { "from": "human", "value": "<image>\nAccording to 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 number of photos printed is zero, will the total cost also be zero, considering the relationship between cost and number of photos printed?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Since when two proportional quantities are graphed, the points lie on a straight line that passes through the origin. Printing 0 photos would cost 0 pounds, confirming the proportionality. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/075043.png
075043
058812
[ { "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 right cone to the nearest cubic unit." }, { "from": "gpt", "value": "To find the volume of the cone, use the formula V = (1/3)πr^2h where r is the radius and h is the height. Measurements need to be taken from the image to find r and h in order to calculate the volume. So the answer is The volume of the cone is (calculated volume).\nThe answer is The volume of the cone is (calculated volume)." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/058812.png
058812
073446
[ { "from": "human", "value": "<image>\nAccording to 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 one diagonal is 10 feet and the other is 6 feet, is the area of the rhombus 15 square feet?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Using the formula A = 1/2 * d1 * d2 for the area of a rhombus, with d1 = 6 feet and d2 = 10 feet, the calculation gives A = 1/2 * 6 * 10 = 30, not 15. Therefore, the statement is incorrect. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/073446.png
073446
071615
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Does the area of the kite equal 30 cm^2?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The area calculation of the kite includes the sum of the areas of two identical triangles, each measuring 15 cm^2. Thus, 15 cm^2 + 15 cm^2 = 30 cm^2, confirming the area is indeed 30 cm^2. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/071615.png
071615
084640
[ { "from": "human", "value": "<image>\nAccording to 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 above is a rectangle having width $a$ and length $a-b$. Find its perimeter in terms of $a$ and $b$.\nChoices:\nA. $a^2-a b$\nB. $4 a-2 b$\nC. $4 a-b$\nD. $2 a-2 b$\nE. $2 a-b$" }, { "from": "gpt", "value": "Choice $4 a-2 b$ is correct. (Use Strategy: Translate from words to algebra.)\n\nPerimeter of a rectangle\n$$\n=2 \\text { (length) }+2 \\text { (width) } 1\n$$\n\nSubstituting from the diagram into 1 , we have\n$$\n\\begin{aligned}\n\\text { Perimeter } & =2(a-b)+2(a) \\\\\n& =2 a-2 b+2 a \\\\\n\\text { Perimeter } & =4 a-2 b\n\\end{aligned}\n$$ So the answer is B\nAnswer: $4 a-2 b$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/084640.png
084640
011204
[ { "from": "human", "value": "<image>\nAccording to 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 measure of angle DHA?\nChoices:\nA. 30 degrees\nB. 45 degrees\nC. 60 degrees\nD. 90 degrees" }, { "from": "gpt", "value": "The angle DHA is the smaller angle in the 30-60-90 triangle, therefore it measures 30 degrees. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/011204.png
011204
077530
[ { "from": "human", "value": "<image>\nAccording to 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 1987, did company funds contribute more than 40% to the total research and development spending?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Company funds amounted to $8 billion and the total funds were $16 billion, which is 50%, and 50% is more than 40%. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/077530.png
077530
026229
[ { "from": "human", "value": "<image>\nAccording to 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 cycle’s transition from positive to negative?\nChoices:\nA. At the peak\nB. At the trough\nC. Crossing the time axis from above\nD. Crossing the time axis from below" }, { "from": "gpt", "value": "The transition from positive to negative values in a biorhythm cycle is observed when the curve crosses the time axis from above. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/026229.png
026229
076797
[ { "from": "human", "value": "<image>\nAccording to 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 final answer of the integral equal to 313920 Pi?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "After performing the necessary mathematical operations, the integral is computed to be 313920 Pi. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/076797.png
076797
013805
[ { "from": "human", "value": "<image>\nAccording to 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 figure, what is the total sum of the angles of the triangle?\nChoices:\nA. 90 degrees\nB. 180 degrees\nC. 270 degrees\nD. 360 degrees" }, { "from": "gpt", "value": "Since it is a given fact that the sum of the angles in any triangle is equal to 180 degrees, the sum of the given triangle also amounts to 180 degrees. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/013805.png
013805
062144
[ { "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, where on the graph y = 4^x do we observe the y-value being exactly 1, and why is that point notable?" }, { "from": "gpt", "value": "The graph y = 4^x intersects the y-axis at y = 1 when x = 0. This point is important as it represents the baseline or initial value for any exponential function of the form y = a^x (with a > 0), setting a reference point from which the function increases or decreases. So the answer is The y-value is exactly 1 at x = 0.\nThe answer is The y-value is exactly 1 at x = 0." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/062144.png
062144
042174
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Given the image, which of the following variables is a function of the length of the call?\nChoices:\nA. Cost\nB. Time\nC. Answering machine\nD. Battery life" }, { "from": "gpt", "value": "Based on the given analysis, the graph shows that the cost of the call changes with the length of the call. Therefore the cost is the dependent variable while the length of the call is the independent variable. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/042174.png
042174
045870
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how many squares must be shaded to represent 0.08?\nChoices:\nA. 8 squares\nB. 80 squares\nC. 0.8 squares\nD. 10 squares" }, { "from": "gpt", "value": "0.08 represents 8 out of 100 squares based on each square being one hundredth in the grid structure. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/045870.png
045870
075455
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Could the transformation described by g(x) = f(x+4) be considered a stretching or compressing of the function f(x) = 3^x?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Since g(x) = f(x+4) describes a shift and not an alteration in the graph's steepness or vertical scaling, it cannot be considered a stretch or compression. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/075455.png
075455
005815
[ { "from": "human", "value": "<image>\nAccording to 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, figure out how long is the border of the shape shown?\nChoices:\nA. 52 cm\nB. 54 cm\nC. 56 cm\nD. 58 cm" }, { "from": "gpt", "value": "Determine the border length by computing the sum of all visible sides of the shape: $$10 + 7 + 9 + 11 + 9 + 8 = 54 \\, \\text{cm}$$ So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/005815.png
005815
030100
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, which theorem confirms the calculation of the hypotenuse as $2\\sqrt{13}$?\nChoices:\nA. Binomial theorem\nB. Pythagorean theorem\nC. Theorem of calculus\nD. Stokes' theorem" }, { "from": "gpt", "value": "The confirmation of $2\\sqrt{13}$ as the length of the hypotenuse $r$ is based on the application of the Pythagorean theorem in the right-angled triangle setup displayed in the image. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/030100.png
030100
083629
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Which of the following is a chord but not a diameter of the attached circle?\nChoices:\nA. CD\nB. EF\nC. AB\nD. JK\nE. GH" }, { "from": "gpt", "value": "A chord is a line segment that joins any two distinct points on the circumference of the circle.A diameter is a chord that passes through the centre of a circle.\n GH So the answer is E\nAnswer: GH" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/083629.png
083629
025810
[ { "from": "human", "value": "<image>\nAccording to 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 coordinate pair includes the cosine value of 310°?\nChoices:\nA. Coordinates of Point A\nB. Coordinates of Point B\nC. Coordinates of Point C" }, { "from": "gpt", "value": "For angle 310°, the point on the unit circle gives the cosine as its x-coordinate. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/025810.png
025810
081912
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Which type of transformation is required to get from $f(x)$ to $g(x)$ ?\nChoices:\nA. Reflection.\nB. Horizontal dilation.\nC. Horizontal translation.\nD. Vertical translation." }, { "from": "gpt", "value": "What kind of transformation could we perform on the graph of $f(x)$ to get the graph of $g(x)$ ?\n\nA dilation 'stretches' a graph away from or toward some point.\n\nA translation 'shifts' a graph's position, but keeps the shape of the graph the same.\n\nA reflection 'flips' a graph over a line.\n\nThe graph of $g(x)$ is identical to that of $f(x)$ but has moved 2 units along the $x$-axis.\n\nHorizontal translation. So the answer is C\nAnswer: Horizontal translation." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/081912.png
081912
081894
[ { "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: Form a model for the percentage $P$ that Maximilian can still recall after $t$ days. Give your answer as a decimal." }, { "from": "gpt", "value": "The percentage of content that can be recalled is equal to $100 \\%$ minus the percentage of content that is forgotten.\n\n$$\nP=(1-0.15)^{t}\n$$\n\nEvaluate.\n\n$P=(0.85)^{t}$ So the answer is $P=(0.85)^{t}$\nThe answer is $P=(0.85)^{t}$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/081894.png
081894
079571
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Find the length of the hypotenuse, $c$ in this triangle." }, { "from": "gpt", "value": "The triangle is a right-angled triangle, so the hypotenuse can be found using $c^{2}=a^{2}+b^{2}$\n\n$c^{2}=8^{2}+15^{2}$\n\nEvaluate to find the value of $c^{2}$ using your calculator if necessary.\n\n$c^{2}=289$\n\nSquare root both sides of the equation.\n\n$c=\\sqrt{289}$\n\nEvaluate to find the value of $c$ using your calculator if necessary\n\n$c=17$ So the answer is $c=17$\nThe answer is $c=17$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/079571.png
079571
006253
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, which dimensions are crucial for calculating the area of the parallelogram?\nChoices:\nA. Diagonals\nB. Base and side\nC. Base and perpendicular height\nD. Perimeter" }, { "from": "gpt", "value": "The calculation of the area of a parallelogram relies on knowing the base and the perpendicular height. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/006253.png
006253
065713
[ { "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 might you describe the relationship between gas mileage and speed?" }, { "from": "gpt", "value": "Observing the parabolic shape of the scatter plot, one can infer that there is a non-linear relationship. The quadratic nature of the graph suggests that gas mileage increases up to a certain speed after which it decreases. So the answer is an increase followed by a decrease\nThe answer is an increase followed by a decrease" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/065713.png
065713
000533
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, how long is side AB if side AC is 12 units?\nChoices:\nA. 5 units\nB. 12 units\nC. 13 units\nD. 15 units" }, { "from": "gpt", "value": "Given the triangle is a right triangle and using side AC and hypotenuse CZ to find side AB, we utilize the Pythagorean theorem for the calculation. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/000533.png
000533
038251
[ { "from": "human", "value": "<image>\nAccording to 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 year had the lowest total volume of issues (security holes + bugs fixed)?\nChoices:\nA. 1998\nB. 1999\nC. 2000\nD. 2001\nE. 2002" }, { "from": "gpt", "value": "We calculate the total volume of issues for each year as follows: \nYear 1998: Total = 5000 + 1500 = 6500.\nYear 1999: Total = 4500 + 1000 = 5500.\nYear 2000: Total = 5000 + 1300 = 6300.\nYear 2001: Total = 4700 + 1600 = 6300.\nYear 2002: Total = 5600 + 1300 = 6900.\nThe lowest total volume of issues is in the year 1999. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/038251.png
038251
005834
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, are the opposite sides of the displayed shape equal in length?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Based on the given data and analysis in the image, a rectangle has opposite sides that are equal in length. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/005834.png
005834
083248
[ { "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: Caleb wants to buy a guitar. The sale price is $51. What was the original price?" }, { "from": "gpt", "value": "Find the percent paid:\nTo find the percent paid, subtract the percent off from $100 \\%$.\n$$\n\\begin{aligned}\n\\text { percent paid } & =100 \\%-\\text { percent off } \\\\\n& =100 \\%-25 \\% \\\\\n& =75 \\%\n\\end{aligned}\n$$\n\nWith $25 \\%$ off, the percent paid is $75 \\%$.\nWrite an equation to solve for the original price:\nSince $75 \\%$ of the original price is equal to the sale price of $\\$ 51$, you can set up and solve an equation. Let $p$ represent the original price.\n$$\n\\begin{array}{rlrl}\n75 \\% \\cdot p & =51 & \\\\\n\\frac{75}{100} \\cdot p & =51 & & \\text { Write the percent as a fraction } \\\\\n0.75 \\cdot p & =51 & & \\text { Write the fraction as a decimal } \\\\\n\\frac{0.75 p}{0.75} & =\\frac{51}{0.75} & & \\text { Divide both sides by } 0.75 \\\\\np & =68 & & \\text { Simplify }\n\\end{array}\n$$\n\nThe original price was $\\$ 68$. So the answer is 68\nThe answer is 68" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/083248.png
083248
034651
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the upper limit of integration for x in terms of y?\nChoices:\nA. 2 sqrt(y)\nB. y + 2\nC. 2y\nD. sqrt(y)" }, { "from": "gpt", "value": "Due to the parabolic curve indicated by y = (1/4) x^2, solving for x gives x = 2 sqrt(y), which is the upper limit of x. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/034651.png
034651
081950
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Determine the intercepts of the line." }, { "from": "gpt", "value": "The $x$-intercept is the point where the graph intersects the $x$ axis. Since the $x$-axis is also the line $y=0$, the $y$-value of this point will always be 0 .\n\nThe $y$-intercept is the point where the graph intersects the $y$-axis. Since the $y$-axis is also the line $x=0$, the $x$-value of this point will always be 0 .\n\nBy looking at the graph, we can see that:\nThe $x$-intercept is $(25,0)$.\\nThe $y$-intercept is $(0,-55)$. So the answer is The $x$-intercept is $(25,0)$.\nThe $y$-intercept is $(0,-55)$.\nThe answer is The $x$-intercept is $(25,0)$.\nThe $y$-intercept is $(0,-55)$." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/081950.png
081950
065687
[ { "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 dolphin’s weight at the highest point shown in the model?" }, { "from": "gpt", "value": "Observing the vertex of the quadratic model, it signifies the maximum or peak weight achieved by the dolphin during recovery. So the answer is It shows maximum recovery weight\nThe answer is It shows maximum recovery weight" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/065687.png
065687
044078
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the difference in degrees between the smallest and largest sectors?\nChoices:\nA. 20 degrees\nB. 30 degrees\nC. 40 degrees\nD. 50 degrees" }, { "from": "gpt", "value": "We can calculate the difference in degrees between the smallest and largest sectors by subtracting angles. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/044078.png
044078
069946
[ { "from": "human", "value": "<image>\nAccording to 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 a photographer tracks her position from base B to point S, and then walks on a bearing of 145° to point P, considering ∠SBN is 55°, is the calculated distance from B to S approximately 750.3 meters when using σ55° equals 750.3 meters as an application of SOH-CAH-TOA?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The distance from B to S is calculated using the sine function where δ equals σ55°. Given σ55° equals 750.3 meters, taking sine of 55 degrees and multiplying it by 916 gives approximately 750.3, confirming the correctness of the calculation. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/069946.png
069946
070217
[ { "from": "human", "value": "<image>\nAccording to 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 a triangle with side lengths 7 units, 24 units, and 25 units, is the 25 unit side the hypotenuse?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Considering the triangle's sides, the hypotenuse should be the longest side. Since 25 units is the longest side among the three, it is the hypotenuse. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/070217.png
070217
019240
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the shape of the base of the object?\nChoices:\nA. Circle\nB. Square\nC. Rectangle\nD. Triangle" }, { "from": "gpt", "value": "From the given problem, we know the object has a curved surface, which is typical for cylinders. The base of a cylinder is circular. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/019240.png
019240
018740
[ { "from": "human", "value": "<image>\nAccording to 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 solid's volume are you calculating with the integral in spherical coordinates?\nChoices:\nA. Cylinder\nB. Pyramid\nC. Sphere\nD. Spherical sector" }, { "from": "gpt", "value": "The integral in spherical coordinates expresses the volume of the solid region formed by the intersection of a sphere and a cone, which is a spherical sector. So the answer is D\nAnswer: D" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/018740.png
018740
057008
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what is the total angle sum of the internal angles of the shape?" }, { "from": "gpt", "value": "Calculate the total sum of internal angles by identifying the type of polygon depicted and using the formula (n-2) * 180, where n is the number of sides. So the answer is 360 degrees\nThe answer is 360 degrees" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/057008.png
057008
080685
[ { "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 perimeter? If necessary, round to the nearest tenth." }, { "from": "gpt", "value": "Use the Pythagorean theorem, with $a=28$ and $b=21$.\n$$\n\\begin{aligned}\na^2+b^2 & =c^2 & & \\text { Pythagorean theorem } \\\\\n28^2+21^2 & =c^2 & & \\text { Plug in } \\mathrm{a}=28 \\text { and } \\mathrm{b}=21 \\\\\n784+441 & =c^2 & & \\text { Square } \\\\\n1,225 & =c^2 & & \\text { Add } \\\\\n\\sqrt{1,225} & =\\sqrt{c^2} & & \\text { Take the square root of both sides } \\\\\n35 & =c & & \\text { Simplify }\n\\end{aligned}\n$$\n\nThe length of the hypotenuse is 35 millimeters.\nFind the perimeter. Add the lengths of the two sides and the hypotenuse.\n$$\n\\begin{aligned}\na+b+c & =84 \\\\\n& =28+21+35\n\\end{aligned}\n$$\n\nThe perimeter is 84 millimeters. So the answer is 84\nThe answer is 84" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/080685.png
080685
032272
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, which function does not intersect the x-axis?\nChoices:\nA. f(x)\nB. g(x)\nC. h(x)" }, { "from": "gpt", "value": "Investigate each function in the images to see if all intersect the x-axis. So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/032272.png
032272
018136
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, which side of the triangle is the shortest?\nChoices:\nA. a\nB. b\nC. c\nD. None of the above" }, { "from": "gpt", "value": "The shortest side, in this case, is often referred to as 'a' in the diagram. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/018136.png
018136
042056
[ { "from": "human", "value": "<image>\nAccording to 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 start time for the shot put event change based on age group?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "As per the graph given, the starting time changes for different age groups. For instance, the 13 years old group starts at 7 pm. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/042056.png
042056
002420
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, if side BC is perpendicular to side AB, what is the measure of angle B?\nChoices:\nA. 90 degrees\nB. 45 degrees\nC. 30 degrees" }, { "from": "gpt", "value": "With side BC being perpendicular to side AB, angle B must be a right angle. Hence, its measurement is standard in a right triangle. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/002420.png
002420
050929
[ { "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 sides of the polygon are equal to the given side length?" }, { "from": "gpt", "value": "Upon inspection of the polygon in the picture, there are three sides that appear to be of the same length as the given side. So the answer is three\nThe answer is three" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/050929.png
050929
031588
[ { "from": "human", "value": "<image>\nAccording to 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 coordinates does the line pass through?\nChoices:\nA. (0, -1) and (3, -5)\nB. (0, 0) and (3, 3)\nC. (1, -2) and (4, -6)\nD. (0, -2) and (3, -4)" }, { "from": "gpt", "value": "The line shown passes through specific points. By reading the coordinates directly from the graph, we can confirm these points through the plotted intercepts and other marks given. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/031588.png
031588
037173
[ { "from": "human", "value": "<image>\nAccording to 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 there any period of time where the growth in the number of schools built accelerates?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Growth acceleration would be indicated by an increasing rate of new schools being built over any given time period, which can be seen if the differences between consecutive months grow larger. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/037173.png
037173
063933
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, what are the limits of integration for the variable y given x in the region D?" }, { "from": "gpt", "value": "The outer curves that bound the region D are y = 1 - x^2 (above) and y = x^2 - 3 (below). Hence, for a given x, y is integrated from the lower curve x^2 - 3 to the upper curve 1 - x^2. So the answer is x^2 - 3 to 1 - x^2\nThe answer is x^2 - 3 to 1 - x^2" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/063933.png
063933
057555
[ { "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 order of integration used in the solution." }, { "from": "gpt", "value": "The analysis proceeds by integrating with respect to z first, followed by y, and finally x. This order can be seen as we breakdown the nested integrals for the evaluation of the triple integral. So the answer is z, y, x\nThe answer is z, y, x" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/057555.png
057555
070745
[ { "from": "human", "value": "<image>\nAccording to 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 a triangle with angles of 31 degrees and 47 degrees, is angle ACB calculated to be less than 104 degrees?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The principle that the sum of angles in any triangle is 180 degrees leads to calculation for angle ACB as 180 - 31 - 47, equaling 102 degrees, which is indeed less than 104 degrees. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/070745.png
070745
026140
[ { "from": "human", "value": "<image>\nAccording to 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 maximum point on the graph represent?\nChoices:\nA. Maximum horizontal distance from Maci\nB. Minimum horizontal distance from Maci\nC. Average horizontal distance from Maci\nD. None of the above" }, { "from": "gpt", "value": "The maximum point on the graph of a distance function would represent the farthest point the brother is from Maci in horizontal space during a complete rotation of the carousel. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/026140.png
026140
053779
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, identify the component that connects two points on the circle’s circumference." }, { "from": "gpt", "value": "The segment connecting two points directly on the circle is known as a chord. So the answer is chord\nThe answer is chord" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/053779.png
053779
017231
[ { "from": "human", "value": "<image>\nAccording to 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 angle are we trying to find the cosine of?\nChoices:\nA. Angle I\nB. Angle J\nC. Angle K\nD. None of the above" }, { "from": "gpt", "value": "As per the analysis given, we are trying to find the cosine of Angle J in our triangle. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/017231.png
017231
049516
[ { "from": "human", "value": "<image>\nAccording to 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 force calculation would be correct if one more pulley was added?\nChoices:\nA. 6.25 pounds\nB. 12.5 pounds\nC. 25 pounds\nD. 50 pounds" }, { "from": "gpt", "value": "Adding another pulley would again halve the force, reducing it from 25 pounds to 12.5 pounds. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/049516.png
049516
002753
[ { "from": "human", "value": "<image>\nAccording to 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 trigonometric function is used to compute the distance from point A to the base of the statue?\nChoices:\nA. Sine\nB. Cosine\nC. Tangent\nD. Cosecant" }, { "from": "gpt", "value": "The angle of elevation and the opposite side (height of the statue) are given, pointing towards the use of tangent to find the adjacent side (distance x). So the answer is C\nAnswer: C" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/002753.png
002753
065597
[ { "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, in which year does the exponential growth rate of sold electric cars appear to reach its peak?" }, { "from": "gpt", "value": "By studying the slope of the best fit curve in the graph, the peak growth rate appears towards the end of the graph, near 2018. So the answer is 2018\nThe answer is 2018" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/065597.png
065597
063891
[ { "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 the curve y=sqrt(x) is chosen as the upper limit for the region D." }, { "from": "gpt", "value": "From the image, you would notice that the curve y = sqrt(x), being a softer curve compared to y = x^3, remains on top of y = x^3 between x = 0 and x = 1. This creates the upper boundary for the region D where the integration is performed. So the answer is y = sqrt(x) is chosen as the upper limit because it lies above y = x^3 for all x in [0,1].\nThe answer is y = sqrt(x) is chosen as the upper limit because it lies above y = x^3 for all x in [0,1]." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/063891.png
063891
031147
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, confirm the sign of $\\sin \\left(\\frac{7 \\pi}{6}\\right)$ and $\\cos \\left(\\frac{7 \\pi}{6}\\right)$.\nChoices:\nA. Both positive\nB. Sin positive, Cos negative\nC. Sin negative, Cos positive\nD. Both negative" }, { "from": "gpt", "value": "From the unit circle, the angle $\\frac{7 \\pi}{6}$ is positioned in the third quadrant, where both sine (y-coordinate) and cosine (x-coordinate) values are negative. So the answer is D\nAnswer: D" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/031147.png
031147
060883
[ { "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 transformation ratio is used to adjust the x-values from function f to function g?" }, { "from": "gpt", "value": "The graphical representation shows each x-value of function g is found by multiplying the corresponding x-value of function f by $\\frac{1}{2}$. This is derived from comparing the points, particularly where the x-coordinate of a point on g is twice that of the same y-coordinate point on f. So the answer is \\frac{1}{2}\nThe answer is \\frac{1}{2}" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/060883.png
060883
046789
[ { "from": "human", "value": "<image>\nAccording to 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 far must the white ball travel before it makes contact with the purple ball?\nChoices:\nA. 0.5 m\nB. 0.9 m\nC. 1.2 m\nD. 1.5 m" }, { "from": "gpt", "value": "The diagram and description specify that the distance between the white ball and the purple ball is approximately 0.9 m. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/046789.png
046789
012477
[ { "from": "human", "value": "<image>\nAccording to 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 polygon?\nChoices:\nA. 180 degrees\nB. 360 degrees\nC. 540 degrees\nD. 720 degrees" }, { "from": "gpt", "value": "Calculating the sum of all the interior angles of the polygon based on the number of sides as seen in the image. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/012477.png
012477
062292
[ { "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 rate of growth of the exponential function over a 1 unit interval of $x$." }, { "from": "gpt", "value": "Calculate the ratio of the exponential function's outputs at two consecutive $x$ points by dividing the $y$ value at $x+1$ by the $y$ value at $x$. This gives the growth rate per unit interval. So the answer is growth rate of 2\nThe answer is growth rate of 2" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/062292.png
062292
074408
[ { "from": "human", "value": "<image>\nAccording to 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 decreasing the cone's height to 2.5 with a diameter of 10 yield a volume of approximately 32.71 cubic yards?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The radius remains 5, but with a height of 2.5, the volume would be (1/3) * 3.14 * 5^2 * 2.5 = 32.7083, rounding it gives 32.71 cubic yards. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/074408.png
074408
034910
[ { "from": "human", "value": "<image>\nAccording to 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 feature of the vectors indicates a dynamic range in calculations?\nChoices:\nA. Constancy of direction\nB. Variable magnitudes\nC. Constant magnitudes\nD. Inverse proportions" }, { "from": "gpt", "value": "Through the image, the vectors demonstrate variable magnitudes, implying changing magnitudes along the path. This fluctuation suggests more complex integral calculations, ensuring a robust handling of operations such as scaling within vector fields. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/034910.png
034910
034212
[ { "from": "human", "value": "<image>\nAccording to 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 points in the graph are the inflection points of the function?\nChoices:\nA. x = -4 and x = -2\nB. x = -2 and x = 3\nC. x = -4, x = -2, and x = 3\nD. none of the above" }, { "from": "gpt", "value": "Inflection points occur where the concavity changes, thus identifying the points where the $2^{\\text {nd }}$ derivative changes signs provides the answer. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/034212.png
034212
023977
[ { "from": "human", "value": "<image>\nAccording to 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 total distance travelled is distributed equally, how much more did Student A walk than the average?\nChoices:\nA. 75 metres\nB. 100 metres\nC. 125 metres\nD. 150 metres" }, { "from": "gpt", "value": "Calculate the average distance and determine how much more Student A walked than this average: (250 metres + 100 metres) / 2 = 175 metres; 250 metres - 175 metres = 75 metres So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/023977.png
023977
017946
[ { "from": "human", "value": "<image>\nAccording to 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 much larger is the outer triangle's base compared to the inner triangle's?\nChoices:\nA. 6 mi\nB. 8 mi\nC. 10 mi\nD. 12 mi" }, { "from": "gpt", "value": "The outer triangle's base is 20 mi and the inner triangle's base is 12 mi, giving a difference of 8 mi. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/017946.png
017946
083406
[ { "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 hydrostatic force on the plate submerged in water as shown in the image below.\nConsider the top of the blue “box” to be the surface of the water in which the plate is submerged. Note as well that the dimensions in the image will not be perfectly to scale in order to better fit the plate in the image. The lengths given in the image are in meters." }, { "from": "gpt", "value": "The first thing we should do is define an axis system for the portion of the plate that is below the water.\nNote that we started the $x$-axis at the surface of the water and by doing this $x$ will give the depth of any point on the plate below the surface of the water. This in turn means that the bottom of the plate will be defined by $x=3$.\n\nIt is always useful to define some kind of axis system for the plate to help with the rest of the problem. There are lots of ways to actually define the axis system and how we define them will in turn affect how we work the rest of the problem. There is nothing special about one definition over another but there is often an \"easier\" axis definition and by \"easier' we mean is liable to make some portions of the rest of the work go a little easier.\n\nAs we did in the notes we'll break up the plate into $n$ horizontal strips of width $\\Delta x$ and we'll let each strip be defined by the interval $\\left[x_{i-1}, x_i\\right]$ with $i=1,2,3, \\ldots n$. Finally, we'll let $x_i^*$ be any point that is in the interval and hence will be some point on the strip.\n\nBelow is yet another sketch of the plate only this time we've got a representative strip sketched on the plate. Note that the strip is \"thicker\" than the strip really should be but it will make it easier to see what the strip looks like and get all of the appropriate lengths clearly listed.\n\nNow $x_i^*$ is a point from the interval defining the strip and so, for sufficiently thin strips, it is safe to assume that the strip will be at the point $x_i^*$ below the surface of the water as shown in the figure above. In other words, the strip is a distance of $x_i^*$ below the surface of the water.\n\nThe width of each of the strips will be dependent on the depth of the strip and so temporarily let's just call the width $a$.\nTo determine the value of $a$ for each strip let's consider the following set of similar triangles.\n\nThis is the triangle of \"empty\" space to the left of the plate. The overall height of the larger triangle is the same as the plate, namely 3 . The overall width of the larger triangle is 1.5 . We arrived at this number by noticing that the top of the plate was 3 meters shorter than the bottom and if we assume the top was perfectly centered over the bottom there must be 1.5 meters of \"empty\" space to either side of the top.\n\nThe top of the smaller triangle corresponds to the strip on the plate. We'll call the width of the smaller triangle $b$. and the height of the smaller triangle must be $3-x_i^*$ for each strip.\n\nBecause the two triangles are similar triangles we have the following equation.\n$$\n\\frac{b}{3-x_i^*}=\\frac{1.5}{3} \\quad b=\\frac{1}{2}\\left(3-x_i^*\\right)\n$$\n\nNote that while we looked only at the empty space to the left of the plate we'd get an almost identical triangle for the empty space to the right of the plate. The only exception would be that it would be a mirror image of this triangle.\n\nNow, let's get back to the width of the strip in our picture of the plate. Assuming that the top is centered over the bottom of the plate we can see that we have to have,\n$$\na=7-2 b=7-2\\left(\\frac{1}{2}\\right)\\left(3-x_i^*\\right)=4+x_i^*\n$$\nWe'll assume that the strip is sufficiently thin so the hydrostatic pressure on the strip will be constant and is given by,\n$$\nP_i=\\rho g d_i=(1000)(9.81) x_i^*=9810 x_i^*\n$$\n\nThis, in turn, means that the hydrostatic force on each strip is given by,\n$$\nF_i=P_i A_i=\\left(9810 x_i^*\\right)\\left[\\left(4+x_i^*\\right)(\\Delta x)\\right]=9810\\left[4 x_i^*+\\left(x_i^*\\right)^2\\right] \\Delta x\n$$\n(?) Hide Step $4 \\nabla$\n\nWe can now approximate the total hydrostatic force on plate as the sum off the force on each of the strips. Or,\n$$\nF \\approx \\sum_{i=1}^n 9810\\left[4 x_i^*+\\left(x_i^*\\right)^2\\right] \\Delta x\n$$\n\nNow, we can get an expression for the actual hydrostatic force on the plate simply by letting $n$ go to infinity.\n\nOr in other words, we take the limit as follows,\n$$\nF=\\lim _{n \\rightarrow \\infty} \\sum_{i=1}^n 9810\\left[4 x_i^*+\\left(x_i^*\\right)^2\\right] \\Delta x\n$$\n\nFinally, we know from the definition of the definite integral that this is nothing more than the following definite integral that we can easily compute.\n$$\nF=\\int_0^3 9810\\left(4 x+x^2\\right) d x=\\left.9810\\left(2 x^2+\\frac{1}{3} x^3\\right)\\right|_0 ^3=264,870 N\n$$ So the answer is 264,870\nThe answer is 264,870" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/083406.png
083406
077987
[ { "from": "human", "value": "<image>\nAccording to 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 there a possibility that less than 50% of mathematics majors preferred science as their favourite subject in high school?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Yes, 43 out of 115 mathematics majors preferred science, which is less than 50%, indicating such a possibility. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/077987.png
077987
030660
[ { "from": "human", "value": "<image>\nAccording to 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 symmetrical property of \\( \\tan \\theta \\) based on it passing through the point (-4,-6).\nChoices:\nA. odd function\nB. even function\nC. neither odd nor even\nD. periodic function" }, { "from": "gpt", "value": "Since \\( \\tan \\theta \\) for angles in the coordinate plane corresponds to the ratio of y to x irrespective of the signs when the point (-4,-6) is used, and because tangent is odd, changing signs of both coordinates maintains the ratio. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/030660.png
030660
068207
[ { "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 sections does the entirety of the three wholes make when divided into tenths?" }, { "from": "gpt", "value": "The image presents three wholes each divided into 1/10 size pieces. The calculation involves multiplying the number of sections in a single whole by the number of wholes: $3 \\times 10 = 30$. So the answer is 30\nThe answer is 30" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/068207.png
068207
016292
[ { "from": "human", "value": "<image>\nAccording to 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 polygon a regular polygon?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Check if every angle is equal and every side is the same length in the polygon shown in the image. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/016292.png
016292
061427
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, identify the amplitude of the cosine function represented." }, { "from": "gpt", "value": "The amplitude of the cosine function y=\\cos x+2 remains the same as a standard cosine function, which is 1. This can be inferred from the lack of a multiplying factor outside the cosine in the given function. So the answer is 1\nThe answer is 1" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/061427.png
061427
082842
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Write a simplified expression for the general $n$th term of the sequence, $T_{n}$." }, { "from": "gpt", "value": "The $n$th value in a geometric progression is found using the equation $T_{n}=a \\times r^{n-1}$, where $a$ is the original value and $r$ is the common ratio.\n\nSubstitute your values for $a$ and $r$ into the equation.\n\n$T_{n}=-4 \\times 3^{n-1}$ So the answer is $T_{n}=-4 \\times 3^{n-1}$\nThe answer is $T_{n}=-4 \\times 3^{n-1}$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/082842.png
082842
077299
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Could section B represent all solutions to the system if point (1,2) correctly satisfies the system's inequalities?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Checking point (1,2) against the inequalities, if this point and all others in Section B adhere to the system's conditions, it still wouldn't represent all solutions as Section A, containing point (3,0), is already confirmed as the only valid section. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/077299.png
077299
068737
[ { "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 fraction of the rectangle is not shaded?" }, { "from": "gpt", "value": "To calculate the fraction of the rectangle that is not shaded, subtract the number of blue shaded squares from the total number of squares, then represent this as a fraction of the total number of squares. So the answer is The fraction of the rectangle that is not shaded is 13/20.\nThe answer is The fraction of the rectangle that is not shaded is 13/20." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/068737.png
068737
034262
[ { "from": "human", "value": "<image>\nAccording to 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 subintervals are used in the approximation of the integral?\nChoices:\nA. 5\nB. 6\nC. 7\nD. 8" }, { "from": "gpt", "value": "The analysis specifies dividing the interval from -1 to 2 into 6 equal subintervals for the approximation. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/034262.png
034262
059849
[ { "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 kilometers closer to the central station did the train get from 12 pm to 1 pm?" }, { "from": "gpt", "value": "Recognize from the image that the train's position changed from 180 km at 12 pm to 100 km at 1 pm, making the approach towards the station by 180 km - 100 km = 80 km. So the answer is 80 km\nThe answer is 80 km" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/059849.png
059849
076701
[ { "from": "human", "value": "<image>\nAccording to 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 f(x) approach a value of 2 as x approaches -4 from the right?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "According to the provided analysis, the limit of f(x) as x approaches -4 from the right is 2, indicating that the function approaches a value of 2 in this scenario. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/076701.png
076701
053201
[ { "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 arc would have a larger measure in degrees?" }, { "from": "gpt", "value": "The image presents two points dividing a circle into two uneven arcs. The major arc, by definition, would have a degree measure larger than 180 degrees as it covers the majority of the circle, opposed to the minor arc. So the answer is major arc\nThe answer is major arc" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/053201.png
053201
074699
[ { "from": "human", "value": "<image>\nAccording to 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 transitioning from Point C to Point A possible according to the travel graph?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "There is no mention of any time travel issues or other constraints between Point C and Point A that would make it impossible. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/074699.png
074699
017310
[ { "from": "human", "value": "<image>\nAccording to 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 function value identifies angle Y as 30 degrees?\nChoices:\nA. Sine: $\\frac{1}{2}$\nB. Cosine: $\\frac{\\sqrt{3}}{2}$\nC. Tangent: $\\sqrt{3}$\nD. Sine: $\\frac{\\sqrt{3}}{2}$" }, { "from": "gpt", "value": "From the trigonometric identities and angle values with reference to Y in the image, determine which function and value match. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/017310.png
017310
060340
[ { "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 approximate value of x where the graph intersects the horizontal line y = 6?" }, { "from": "gpt", "value": "To find the x-coordinate where the graph of $y=\\sqrt{6x+7}$ intersects the horizontal line $y=6$, the equation $\\sqrt{6x+7} = 6$ is set up and solved for $x$. By squaring both sides of the equation, we obtain $6x+7 = 36$. Simplifying this, $6x = 29$, so $x = \\frac{29}{6} \\approx 4.833$. The graph shows the intersection close to $x = 5$, indicating rounding may be applied. So the answer is 5\nThe answer is 5" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/060340.png
060340
066692
[ { "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 percentage of students changed their major from their initially chosen favorite subject?" }, { "from": "gpt", "value": "Sum the number of students for each subject where their current major is different from their favorite subject, then divide by the total number of students and multiply by 100 to find the percentage. So the answer is Percentage based on comparison of initial interest and current major as shown in the image.\nThe answer is Percentage based on comparison of initial interest and current major as shown in the image." } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/066692.png
066692
021099
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the shape of the base of the pyramid?\nChoices:\nA. Circle\nB. Square\nC. Triangle\nD. Rectangle" }, { "from": "gpt", "value": "The base of the pyramid shown in the image is a square, which can be identified by its equal sides and right angles at each corner. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/021099.png
021099
002684
[ { "from": "human", "value": "<image>\nAccording to 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 typical unit of measure one would use to find y?\nChoices:\nA. Degrees\nB. Meters\nC. Cubits\nD. Furlongs" }, { "from": "gpt", "value": "Considering that y is a measure of distance from one point to another in a practical scenario (base of the statue), the typical unit of measure would be meters, suitable for such a geometrical calculation. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/002684.png
002684
070142
[ { "from": "human", "value": "<image>\nAccording to 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 value of a approximately 6.93?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "Evaluate the square root to the nearest two decimal places: a = 6.93. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/070142.png
070142
057412
[ { "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 integrand formed for computing the volume using polar coordinates?" }, { "from": "gpt", "value": "The integrand $(1 - x^2 - y^2)$ translates to $(1 - r^2)$ in polar coordinates, where $x = r\\cos(\\theta)$ and $y = r\\sin(\\theta)$. So the answer is $(1 - r^2) drd\\theta$\nThe answer is $(1 - r^2) drd\\theta$" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/057412.png
057412
084050
[ { "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 sector below.Calculate the perimeter. Round your answer to two decimal places." }, { "from": "gpt", "value": "Recall that the perimeter of a sector of radius r and angle \\theta is given by 2r+\\frac{\\theta }{360}\\times 2\\pi r (this is the sum of the two radii and the length of the arc).\n\nHere r=80.2 and \\theta =237°.\n\nPerimeter = 2\\times 80.2+\\frac{237}{360}\\times 2\\pi \\times 80.2 mm\n\nEvaluate the expression, making sure to round your answer to two decimal places. \\n 492.14 mm So the answer is 492.14 mm\nThe answer is 492.14 mm" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/084050.png
084050
082501
[ { "from": "human", "value": "<image>\nAccording to 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 percentage increase in wholesale and industrial prices between the beginning of 1982 and the end of 1989 was\nChoices:\nA. 1 percent\nB. 5 percent\nC. 10 percent\nD. 15 percent\nE. less than 1 percent" }, { "from": "gpt", "value": "15 percent is correct. At the beginning of 1982 wholesale prices were about 100; at the end of 1989 they were about 115. The percent increase is about $\\frac{115-100}{100} \\times 100 \\%$ or $15 \\%$. So the answer is D\nAnswer: 15 percent" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/082501.png
082501
016382
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, which side corresponds to side DB in triangle CDE?\nChoices:\nA. DC\nB. CE\nC. DE\nD. None" }, { "from": "gpt", "value": "In triangle CDE, side DC corresponds to side DB in the larger triangle BDA as per the setups in the similar triangles' proportions. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/016382.png
016382
064946
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first conduct reasoning, and then answer the question and provide the final value, e.g., The answer is xxx\nQuestion: Based on the image, predict the number of double under skips if the session lasted 15 minutes." }, { "from": "gpt", "value": "By extending the linear equation established from the image data, which correlates the minutes and the amount of double under skips, one can predict the skips made over 15 minutes. So the answer is 285 skips\nThe answer is 285 skips" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/064946.png
064946
071329
[ { "from": "human", "value": "<image>\nAccording to 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 arc length 5π units when the radius is 2.5 units?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The circumference for a circle of radius 2.5 is calculated as 2π x 2.5 = 5π units. Since it's half the circle, the arc length remains as 5π units, exactly half of the circumference. The answer is yes. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/071329.png
071329
017785
[ { "from": "human", "value": "<image>\nAccording to 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 measure of the angle that together with d forms a linear pair assuming the sum of the interior angles is known?\nChoices:\nA. 45 degrees\nB. 55 degrees\nC. 65 degrees\nD. 85 degrees" }, { "from": "gpt", "value": "Given that angle d is 135 degrees and angles on a straight line sum to 180 degrees, the angle forming a linear pair with d can be found by subtracting the measure of d from 180 degrees: 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/017785.png
017785
076586
[ { "from": "human", "value": "<image>\nAccording to 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 y-intercept of the displayed line -1?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "The y-intercept of the line shown is 1, according to the equation $y = -\\frac{1}{2}x + 1$. So the answer is B\nAnswer: B" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/076586.png
076586
014920
[ { "from": "human", "value": "<image>\nAccording to 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 line intersects two lines but is not necessarily perpendicular?\nChoices:\nA. bisector\nB. perpendicular\nC. parallel\nD. half-line\nE. transversal" }, { "from": "gpt", "value": "A line that intersects two other lines at distinct points is considered a transversal, irrespective of being perpendicular. So the answer is E\nAnswer: E" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/014920.png
014920
073255
[ { "from": "human", "value": "<image>\nAccording to 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 value of z equal to 38 degrees if two other angles in the triangle are 32 degrees and 110 degrees?\nChoices:\nA. Yes\nB. No" }, { "from": "gpt", "value": "First, the sum of the interior angles in the triangle must equal 180 degrees. By adding the given angles, 32 degrees and 110 degrees, we get 142 degrees. Subtracting this from 180 degrees gives 38 degrees for angle z. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/073255.png
073255
002413
[ { "from": "human", "value": "<image>\nAccording to the question shown in the image, please first perform reasoning, then finally select the right answer from the choices, e.g., Answer: xxx.\nQuestion: Based on the image, what is the value of $a$ based on sides $b$ and $c$?\nChoices:\nA. $a = \\sqrt{c^2 - b^2}$\nB. $a = c + b$\nC. $a = c - b$\nD. $a = \\sqrt{c^2 + b^2}$" }, { "from": "gpt", "value": "Side $a$ can be calculated using the Pythagorean theorem, making it equal to $\\sqrt{c^2 - b^2}$. So the answer is A\nAnswer: A" } ]
mavis_math_metagen_processed_new.json
LLaVA-OneVision-Data/mavis_math_metagen/002413.png
002413