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1.2 | <image>When a spring does work on an object, we cannot find the work by simply multiplying the spring force by the object's displacement. The reason is that there is no one value for the force-it changes. However, we can split the displacement up into an infinite number of tiny parts and then approximate the force in each as being constant. Integration sums the work done in all those parts. Here we use the generic result of the integration.
In Figure, a cumin canister of mass $m=0.40 \mathrm{~kg}$ slides across a horizontal frictionless counter with speed $v=0.50 \mathrm{~m} / \mathrm{s}$. It then runs into and compresses a spring of spring constant $k=750 \mathrm{~N} / \mathrm{m}$. When the canister is momentarily stopped by the spring, by what distance $d$ is the spring compressed? | mathvista_testmini |
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1000 | <image>what is the total volume of the measuring cup? | mathvista_testmini |
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C | <image>△ABC的两内角平分线OB、OC相交于点O，若∠A＝110°，则∠BOC＝（） Choices: (A) 135° (B) 140° (C) 145° (D) 150° | mathvista_testmini |
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4 | <image>Subtract all large rubber spheres. Subtract all big shiny cylinders. How many objects are left? | mathvista_testmini |
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A | <image>Find $m\angle H$ Choices: (A) 97 (B) 102 (C) 107 (D) 122 | mathvista_testmini |
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A | <image>As shown in the figure, if CB = 4.0, DB = 7.0, and D is the midpoint of AC, then the length of AC is () Choices: (A) 6cm (B) 7cm (C) 4cm (D) 5cm | mathvista_testmini |
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B | <image>What time is shown? Answer by typing a time word, not a number. It is (_) after eight. Choices: (A) half (B) quarter (C) o'clock (D) quarter to (E) quarter past | mathvista_testmini |
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A | <image>Is the number of tiny gray bicycles that are on the left side of the brown metal sedan greater than the number of things that are to the left of the tiny green bicycle? Choices: (A) Yes (B) No | mathvista_testmini |
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D | <image>如图是一株美丽的勾股树，其中所有四边形都是正方形，所有的三角形都是直角三角形，若正方形A、B的面积分别为5、3，则最大正方形C的面积是（） Choices: (A) 15 (B) 13 (C) 11 (D) 8 | mathvista_testmini |
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E | <image>Which object comes next? Choices: (A) A (B) B (C) C (D) D (E) E | mathvista_testmini |
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5 | <image>Subtract all red things. Subtract all tiny matte balls. How many objects are left? | mathvista_testmini |
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A | <image>Are there fewer metallic fighters than rubber objects? Choices: (A) Yes (B) No | mathvista_testmini |
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0 | <image>How many objects are preferred by more than 90 percent of people in at least one category? | mathvista_testmini |
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A | <image>Is the number of tiny objects that are behind the small metal jet less than the number of tiny things left of the tiny sedan? Choices: (A) Yes (B) No | mathvista_testmini |
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B | <image>Which organism with be most affected if algae was eliminated? Choices: (A) Tilapia (B) Common water flea (C) Great diving beetle (D) Tadpole | mathvista_testmini |
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2 | <image>How many items sold less than 5 units in at least one store? | mathvista_testmini |
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A | <image>如图，在Rt△ABC中，∠ACB＝90°，D是AB的中点，AB＝10，则CD的长为（） Choices: (A) 5 (B) 6 (C) 8 (D) 10 | mathvista_testmini |
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B | <image>The passage below describes an experiment. Read the passage and then follow the instructions below.
Linda applied a thin layer of wax to the underside of her snowboard and rode the board straight down a hill. Then, she removed the wax and rode the snowboard straight down the hill again. She repeated the rides four more times, alternating whether she rode with a thin layer of wax on the board or not. Her friend Bob timed each ride. Linda and Bob calculated the average time it took to slide straight down the hill on the snowboard with wax compared to the average time on the snowboard without wax.
Figure: snowboarding down a hill. Identify the question that Linda and Bob's experiment can best answer. Choices: (A) Does Linda's snowboard slide down a hill in less time when it has a thin layer of wax or a thick layer of wax? (B) Does Linda's snowboard slide down a hill in less time when it has a layer of wax or when it does not have a layer of wax? | mathvista_testmini |
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400 | <image>what is the highest amount this class measures? | mathvista_testmini |
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B | <image>Is the sum of smallest two bar is greater then the largest bar? Choices: (A) Yes (B) No | mathvista_testmini |
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2 | <image>Fill in the blank to describe the model. The model has 4 dots divided into 2 equal groups. There are (_) dots in each group. | mathvista_testmini |
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0 | <image>How many people in the image were born after the end of World War II? | mathvista_testmini |
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B | <image>The derivative of f(x) at x=2 is ____ that at x=5 Choices: (A) larger than (B) equal to (C) smaller than | mathvista_testmini |
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B | <image>Is Periwinkle the maximum? Choices: (A) yes (B) no | mathvista_testmini |
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B | <image>Is Medium Periwinkle the smoothest? Choices: (A) yes (B) no | mathvista_testmini |
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B | <image>Is Black greater than Deep Sky Blue? Choices: (A) yes (B) no | mathvista_testmini |
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11 | <image>What is the age gap between these two people in image? | mathvista_testmini |
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C | <image>$\overline{AB}$ is a diameter, $AC=8$ inches, and $BC=15$ inches. Find the radius of the circle. Choices: (A) 7.5 (B) 8 (C) 8.5 (D) 17 | mathvista_testmini |
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4 | <image>What is the age gap between these two people in image? | mathvista_testmini |
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B | <image>As shown in the figure, the two chords AB and CD in the circle intersect at E, ∠D = 35.0, ∠AEC = 105.0, then ∠C = () Choices: (A) 60° (B) 70° (C) 80° (D) 85° | mathvista_testmini |
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B | <image>Are there more big red rubber double buss in front of the large red double bus than big green things? Choices: (A) Yes (B) No | mathvista_testmini |
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D | <image>如图，在ABCD中，AB＝AC，∠CAB＝40°，则∠D的度数是（） Choices: (A) 40° (B) 50° (C) 60° (D) 70° | mathvista_testmini |
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C | <image>Use a sector paper sheet with a central angle of 120.0 and a radius of 6.0 to roll into a conical bottomless paper cap (as shown in the picture), then the bottom perimeter of the paper cap is () Choices: (A) 2πcm (B) 3πcm (C) 4πcm (D) 5πcm | mathvista_testmini |
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B | <image>Is this function continuous at each point? Choices: (A) Yes (B) No | mathvista_testmini |
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B | <image>如图，AB是⊙O的直径，EF，EB是⊙O的弦，点E是FEB的中点，EF与AB交于点C，连接OF，若∠AOF＝40°，则∠F的度数是（） Choices: (A) 20° (B) 35° (C) 40° (D) 55° | mathvista_testmini |
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9 | <image>What is the age gap between these two people in image? | mathvista_testmini |
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3 | <image>What is the limit as x approaches -1? | mathvista_testmini |
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0 | <image>How many bars have values smaller than 6? | mathvista_testmini |
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A | <image>Is this function odd or even? Choices: (A) odd (B) even | mathvista_testmini |
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7 | <image>Subtract all brown blocks. Subtract all large blue rubber things. How many objects are left? | mathvista_testmini |
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7 | <image>What is the age gap between these two people in image? | mathvista_testmini |
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8 | <image>What is the age gap between these two people in image? | mathvista_testmini |
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C | <image>Use the graph to answer the question below. Which month is the wettest on average in Christchurch? Choices: (A) August (B) April (C) May | mathvista_testmini |
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18 | <image>Chase wants to buy 4 kilograms of oval beads and 5 kilograms of star-shaped beads. How much will he spend? (Unit: $) | mathvista_testmini |
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-3 | <image>An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between August and September? (Unit: minutes per month) | mathvista_testmini |
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C | <image>What would happen to the population of adult spiders if predator ate all the spider eggs? Choices: (A) Adult spider population would remain the same (B) Adult spider population would double. (C) Adults spider population would decrease (D) Adult spider population would increase. | mathvista_testmini |
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6 | <image>Subtract all rubber balls. Subtract all yellow shiny things. How many objects are left? | mathvista_testmini |
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B | <image>Find $m \angle 3$. Choices: (A) 28 (B) 38 (C) 52 (D) 62 | mathvista_testmini |
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0 | <image>What is the sum of the digits on either end of the sign in the corner? | mathvista_testmini |
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D | <image>Based on the food web, what would likely happen if the number of large roach would decrease? Choices: (A) The population of steelheads would decrease. (B) The population of stickleback fry would increase. (C) The population of predatory insects would increase. (D) The population of predatory insects would decrease. | mathvista_testmini |
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A | <image>Is the number of gray rubber objects in front of the small yellow aeroplane greater than the number of big cyan matte fighters? Choices: (A) Yes (B) No | mathvista_testmini |
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6 | <image>Subtract all big red metallic spheres. Subtract all big brown matte things. How many objects are left? | mathvista_testmini |
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1 | <image>What is the age gap between these two people in image? | mathvista_testmini |
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B | <image>In the figure above, the ratio of the length of line AB to the length of line AC is 2 : 5. If AC = 25, what is the length of line AB? Choices: (A) 8 (B) 10 (C) 15 (D) 18 (E) 20 | mathvista_testmini |
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C | <image>如图，一块直角三角板60°的角的顶点A与直角顶点C分别在两平行线FG，DE上，斜边AB平分∠CAG，交直线DE于点H，则∠BCH的大小为（） Choices: (A) 60° (B) 45° (C) 30° (D) 25° | mathvista_testmini |
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6 | <image>What is the perimeter of the rectangle? | mathvista_testmini |
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2 | <image>Subtract all small balls. Subtract all blue rubber things. How many objects are left? | mathvista_testmini |
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A | <image>Does Firebrick have the maximum area under the curve? Choices: (A) yes (B) no | mathvista_testmini |
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C | <image>As shown in the figure, AB is the diameter of ⊙O, CD is the chord of ⊙O, ∠ADC = 26.0, then the degree of ∠CAB is () Choices: (A) 26° (B) 74° (C) 64° (D) 54° | mathvista_testmini |
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22 | <image>What is the age gap between these two people in image? | mathvista_testmini |
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B | <image>Is Coral the roughest? Choices: (A) yes (B) no | mathvista_testmini |
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A | <image>如图，E，F分别是菱形ABCD的边AB，AD的中点，且AB＝5，AC＝6．则EF的长为（） Choices: (A) 4 (B) 5 (C) 5.5 (D) 6 | mathvista_testmini |
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7 | <image>Subtract all red matte cubes. Subtract all small green metal objects. How many objects are left? | mathvista_testmini |
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B | <image>The diagrams below show two pure samples of gas in identical closed, rigid containers. Each colored ball represents one gas particle. Both samples have the same number of particles. Compare the average kinetic energies of the particles in each sample. Which sample has the higher temperature? Choices: (A) neither; the samples have the same temperature (B) sample A (C) sample B | mathvista_testmini |
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A | <image>is f(3) > 0? Choices: (A) Yes (B) No | mathvista_testmini |
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A | <image>Choose the answer for the missing picture. Choices: (A) A (B) B (C) C (D) D (E) E (F) F | mathvista_testmini |
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16 | <image>What is the perimeter of the square? | mathvista_testmini |
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B | <image>将一根长度为16cm自然伸直的弹性皮筋AB两端固定在水平的桌面上，然后把中点C竖直向上拉升6cm至D点（如图），则该弹性皮筋被拉长了（） Choices: (A) 2cm (B) 4cm (C) 6cm (D) 8cm | mathvista_testmini |
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7 | <image>Subtract all big matte balls. Subtract all green rubber objects. How many objects are left? | mathvista_testmini |
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8 | <image>What is the age gap between these two people in image? | mathvista_testmini |
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18 | <image>What is the perimeter of the rectangle? | mathvista_testmini |
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1 | <image>A real estate agent drove around the neighborhood and counted the number of houses on each block. How many blocks have exactly 36 houses? (Unit: blocks) | mathvista_testmini |
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D | <image>Complete the matrix. Choices: (A) A (B) B (C) C (D) D (E) E (F) F | mathvista_testmini |
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47.6 | <image>What is the difference of largest and smallest bar? | mathvista_testmini |
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B | <image>Is Sky Blue less than Web Maroon? Choices: (A) yes (B) no | mathvista_testmini |
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A | <image>What happens to fish if pelicans increase? Choices: (A) decrease (B) nothing (C) increase (D) none of the above | mathvista_testmini |
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2019 | <image>Which year showed the largest difference in the data points between the two lines | mathvista_testmini |
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8 | <image>Find the missing value. | mathvista_testmini |
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C | <image>As shown in the figure, points A, B, C, and D are on circle O, and point E is on the extended line of AD. If ∠ABC = 60.0, then the degree of ∠CDE is () Choices: (A) 30° (B) 45° (C) 60° (D) 70° | mathvista_testmini |
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A | <image>According to the food web, what will happen if all the algae died due to pesticides? Choices: (A) Crabs and limpets will decrease (B) Dolphins will increase (C) Sea gulls will become extinct (D) Star fish will increase | mathvista_testmini |
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-1 | <image>What is the value of r at theta=3*pi/2? | mathvista_testmini |
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C | <image>A square is inscribed in a circle of area 18$\pi$ square units. Find the length of a side of the square. Choices: (A) 3 (B) 3 \sqrt 2 (C) 6 (D) 6 \sqrt 2 | mathvista_testmini |
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A | <image>Is the number of shiny buss less than the number of matte things? Choices: (A) Yes (B) No | mathvista_testmini |
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130.9 | <image>ABCD is a square. Inscribed Circle center is O. Find the the angle of ∠AMK. Return the numeric value. | mathvista_testmini |
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2 | <image>How many countries have people working for more than 35 hours over the years? | mathvista_testmini |
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G | <image>Which model has the highest Acc score when Pretrain Loss is equal to 1.80? Choices: (A) ICL (B) SFT (C) SFT 1/8 (D) RFT k=100 (E) RFT k=25 (F) RET k=6 (G) RFT U13B | mathvista_testmini |
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B | <image>Look at the table. Then answer the question. At a price of $790, is there a shortage or a surplus?' Choices: (A) shortage (B) surplus | mathvista_testmini |
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30 | <image>A square is tangent to a line at point P in the figure above. What is the value of x? | mathvista_testmini |
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25 | <image>How many miles per gallon do an average city bus get? | mathvista_testmini |
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5 | <image>Subtract all yellow matte blocks. Subtract all tiny brown cylinders. How many objects are left? | mathvista_testmini |
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B | <image>Is the number of brown suvs less than the number of brown rubber school buss? Choices: (A) Yes (B) No | mathvista_testmini |
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B | <image>Do the windows have a geometric shape that most houses have? Choices: (A) Yes (B) No | mathvista_testmini |
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197.3 | <image>What's the computing and wirless total for semiconductor demand in 2014? | mathvista_testmini |
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C | <image>如图，D为△ABC内一点，CD平分∠ACB，BD⊥CD，∠A＝∠ABD，若∠DBC＝54°，则∠A的度数为（） Choices: (A) 36° (B) 44° (C) 27° (D) 54° | mathvista_testmini |
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D | <image>As shown in the figure, the straight lines AB and CD intersect at point O, OD bisects ∠AOE, ∠BOC = 50.0, then ∠EOB = () Choices: (A) 50° (B) 60° (C) 70° (D) 80° | mathvista_testmini |
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3.9 | <image>How many times Dissatisfied more than satisfied? | mathvista_testmini |
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0 | <image>How many algorithms have accuracies higher than 9? | mathvista_testmini |
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2 | <image>Find the value of the square in the figure. | mathvista_testmini |
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D | <image>Which cat is larger? Choices: (A) white five (B) white three (C) white four (D) white one (E) white two | mathvista_testmini |
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12 | <image>What is the sum of all the values in the ruling group? | mathvista_testmini |
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