messages listlengths 2 2 | images listlengths 1 1 |
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[
{
"content": "<image>\nQuestion: Let the sum of the coefficients of all terms in the expansion be M, and the sum of the binomial coefficients be N. If M - N = 240, then the constant term in the expansion is (____).",
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},
{
"content": "<perception>The image shows the expression (5x - 1/... | [
"cold_start_9k/images/40017.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical problem. It defines a function f(x) = 3^(2x) / (3 + 3^(2x)). It then asks to evaluate the sum f(1/101) + f(2/101) + ... + f(100/101). The answer is to be filled in the blank space provided. ... | [
"cold_start_9k/images/40018.jpg"
] |
[
{
"content": "<image>\nQuestion: The stinky tofu in Wuhan is famous all over the country. Someone bought two skewers of stinky tofu, each skewer containing 3 pieces (as shown in the picture). It is stipulated that each skewer of stinky tofu can only be eaten one piece at a time from left to right, and the two s... | [
"cold_start_9k/images/40035.jpg"
] |
[
{
"content": "<image>\nQuestion: Each tray has 10 coconut bars. How many coconut bars are on 3 trays?",
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},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of trays\" and the second column is labeled \"Number of coconut bars\". The ... | [
"cold_start_9k/images/40036.jpg"
] |
[
{
"content": "<image>\nQuestion: The maximum value of the function is _______",
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},
{
"content": "<perception>The image shows the function f(x) defined as the determinant of a 2x2 matrix. The matrix has the following elements:\n- Top row: sin(x) and 4cos(x)\n- Bottom row: 1 and 3\n\nT... | [
"cold_start_9k/images/40046.jpg"
] |
[
{
"content": "<image>\nQuestion: What’s the average of the two smallest values?",
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},
{
"content": "<perception>The image is a bar graph titled \"Most Americans say medical scientists should have a major policy role on vaccine issues\". The y-axis lists different groups of people, and ... | [
"cold_start_9k/images/40054.jpg"
] |
[
{
"content": "<image>\nQuestion: How many more customers ate pizza twice than those who ate it three times last month?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Eating pizza last month\". The table has two columns: \"Times eaten\" and \"Frequency\". The \"Times eate... | [
"cold_start_9k/images/40058.jpg"
] |
[
{
"content": "<image>\nQuestion: Clara's school reported how many members each sports team had. What is the mean of the numbers?",
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},
{
"content": "<perception>The image is a table titled \"Sports team membership\". The table has two columns: \"Team\" and \"Number of members\". The ro... | [
"cold_start_9k/images/40059.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, △ABC is a piece of acute-angled triangle scrap, with side BC = 120 mm and height AD = 80 mm. We need to process it into a square part, with one side on BC and the other two vertices on AB and AC respectively. The side length of this square part should be ... | [
"cold_start_9k/images/40070.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the flowchart of an algorithm as shown in the figure, if the output values (x, y) are recorded sequentially as (x_{1}, y_{1}), (x_{2}, y_{2}), …, (x_{n}, y_{n}), and one of the arrays output during the program run is (t, -8), then t is ___ .",
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{
... | [
"cold_start_9k/images/40073.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the flowchart shown in the right figure, and the output value of y is ______.",
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},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (start). Then, x is initialized to 16. There is a decision box that check... | [
"cold_start_9k/images/40080.jpg"
] |
[
{
"content": "<image>\nQuestion: Solve the equation _",
"role": "user"
},
{
"content": "<perception>The image shows an equation: x/(2x-5) - 1 = 5/(5-2x). The equation involves fractions with x in the numerator and denominator. The denominators are 2x-5 and 5-2x, which are negatives of each other. </... | [
"cold_start_9k/images/40104.jpg"
] |
[
{
"content": "<image>\nQuestion: If \\( a = 7 \\) and \\( b = 6 \\), the result of running the program shown in the image is ___",
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{
"content": "<perception>The image shows a program written in pseudocode. The program takes two inputs, a and b, and calculates a value c based on nes... | [
"cold_start_9k/images/40109.jpg"
] |
[
{
"content": "<image>\nQuestion: The flowchart (algorithm flowchart) is shown in the image, and its output result A = ___.",
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},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then initializes A=1 and k=1. It then enters a loop. Inside the l... | [
"cold_start_9k/images/40119.jpg"
] |
[
{
"content": "<image>\nQuestion: (2013 Autumn • Sanshui District School-Level Final) As shown in the figure, points C and D lie on line segment AB, with AC = BD. If AD = 3 cm, then BC = ____.",
"role": "user"
},
{
"content": "<perception>The image shows a line segment AB. Points C and D lie on the l... | [
"cold_start_9k/images/40123.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the triangle with ∠B as the internal angle has ____ in total.",
"role": "user"
},
{
"content": "<perception>The image shows a triangle ABC. There are two points D and E on the side BC. AD and AE are line segments inside the triangle ABC. There... | [
"cold_start_9k/images/40131.jpg"
] |
[
{
"content": "<image>\nQuestion: The school district compared the number of swings at each elementary school. What is the average number of swings across all schools?",
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},
{
"content": "<perception>The image is a table titled \"Swings\". The table has two columns: \"School\" and \"Num... | [
"cold_start_9k/images/40133.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money will Tucker spend if he purchases 9/10 of a pound of green bell peppers?",
"role": "user"
},
{
"content": "<perception>The image shows a list of peppers and their prices per pound.\n- green bell peppers: $2 per pound\n- Anaheim peppers: $1 per pound\n-... | [
"cold_start_9k/images/40151.jpg"
] |
[
{
"content": "<image>\nQuestion: The set has _____________ subsets.",
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},
{
"content": "<perception>The image shows the mathematical expression \"{1, 2, 3}\". This represents a set containing the elements 1, 2, and 3. The question asks how many subsets this set has.</perception>\n<rea... | [
"cold_start_9k/images/40161.jpg"
] |
[
{
"content": "<image>\nQuestion: The right figure is a flowchart of an algorithm. The output value of S is ______________",
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},
{
"content": "<perception>The image shows a flowchart of an algorithm. The algorithm starts with initializing two variables: s = 0 and n = 1. Then, it enters ... | [
"cold_start_9k/images/40166.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the diagram, in the acute triangle △ABC, the altitude AD = 12, AC = 13, and BC = 14. Find the length of AB.\n____________________",
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},
{
"content": "<perception>The image shows an acute triangle ABC. Inside the triangle, there is a line seg... | [
"cold_start_9k/images/40175.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, given that the perimeter of △ABC is 10 cm, △ABC is translated 2 cm to the right along the side BC to obtain △DEF. Find the perimeter of quadrilateral ABFD.",
"role": "user"
},
{
"content": "<perception>The image shows a geometric figure consis... | [
"cold_start_9k/images/40179.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the set A=, the number of all subsets of set A is ________.",
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},
{
"content": "<perception>The image shows a set defined using set-builder notation. The set is {x | x^2 - 4 = 0}. This means the set contains all x such that x squared minus 4 equal... | [
"cold_start_9k/images/40194.jpg"
] |
[
{
"content": "<image>\nQuestion: The solution set of the inequality $$-2x + a \\geqslant 2$$ with respect to $$x$$ is shown in the figure, and the value of $$a$$ is ______ .",
"role": "user"
},
{
"content": "<perception>The image shows a number line with values marked at -2, -1, 0, 1, and 2. The num... | [
"cold_start_9k/images/40227.jpg"
] |
[
{
"content": "<image>\nQuestion: The flowchart of a program is shown in the diagram, and the value of $$k$$ that the program outputs after running is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with initializing k=2. Then, it enters a loop.... | [
"cold_start_9k/images/40234.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, △ABC is folded along the line AC to form △ADC. Given that AB + BC = 12 cm and AC = 6 cm, the perimeter of △ACD is ______ cm.",
"role": "user"
},
{
"content": "<perception>The image shows a geometric figure. It consists of two triangles, △ABC a... | [
"cold_start_9k/images/40244.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in Figure 1, an exterior angle of triangle △AB at , where line DE is parallel to BC, intersects at points D and E, with ∠1 being 120 degrees, then the degree measure of ∠2 is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a triangle AB... | [
"cold_start_9k/images/40256.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a rhombus-shaped clothes hanger is made using the instability of a quadrilateral. It is known that each side of the rhombus is 20 cm in length and the distance between the two nails \\(A\\) and \\(B\\) that hang the clothes hanger on the wall is \\(20 \\s... | [
"cold_start_9k/images/40266.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total number of watermelons harvested over the 4 days?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Watermelons harvested\". The table has two columns: \"Day\" and \"Number of watermelons\". The rows list the days Tuesday, W... | [
"cold_start_9k/images/40269.jpg"
] |
[
{
"content": "<image>\nQuestion: How much more does a CD signed by a famous band cost than a photograph signed by a famous singer?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are:\n- photograph signed by a famous television star: $37.00\n... | [
"cold_start_9k/images/40272.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the three views of a geometric solid (in cm) as shown in the image, the volume of this geometric solid is ____ cm^{3}.",
"role": "user"
},
{
"content": "<perception>The image shows the three views of a geometric solid. The front view and side view are identical... | [
"cold_start_9k/images/40275.jpg"
] |
[
{
"content": "<image>\nQuestion: In quadrilateral \\textit{$$□$$}$$ABCD$$, connect $$AC$$. Follow these steps to construct the diagram: Using $$A$$ and $$C$$ as centers, draw arcs with radii greater than $$\\dfrac{1}{2}AC$$. The arcs intersect at points $$M$$ and $$N$$, respectively. Draw the line $$MN$$ inters... | [
"cold_start_9k/images/40281.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the difference in percentage between the people who view global economic engagement as a bad thing and a good thing in Spain?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph comparing attitudes towards global economic engagement across ... | [
"cold_start_9k/images/40287.jpg"
] |
[
{
"content": "<image>\nQuestion: In the flowchart shown in the image, the output result is ___.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). Then, it initializes two variables: a = 5 and s = 1. The flowchart then enters a loop. ... | [
"cold_start_9k/images/40336.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Trudy need to buy a small yellow button and a sewing needle?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are: shiny red button ($0.18), sewing needle ($0.33), pack of white tissue paper... | [
"cold_start_9k/images/40338.jpg"
] |
[
{
"content": "<image>\nQuestion: If you have $1.00, how many green colored pencils can you buy?",
"role": "user"
},
{
"content": "<perception>The image shows a list of school supplies and their prices. The items and prices are: red ballpoint pen ($0.04), package of crayons ($0.06), green colored pen... | [
"cold_start_9k/images/40347.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart as shown in the image. The value of S output is equal to ___.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts by initializing three variables: A = 0, S = 0, and i = 1. Then, it ... | [
"cold_start_9k/images/40375.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total number of miles run by all team members?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Running miles\". The table has two columns: \"Name\" and \"Miles\". The \"Name\" column lists the names Ava, Marco, Tess, Caden, Jad... | [
"cold_start_9k/images/40397.jpg"
] |
[
{
"content": "<image>\nQuestion: ______ .__ _",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: log₂(25) * log₃(4) * log₅(9) =. The expression involves logarithms with different bases and arguments. The goal is to evaluate the expression. </perception> <reasoni... | [
"cold_start_9k/images/40400.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, given a rectangular paper piece ABCD, point E is the midpoint of AB, and point G is a point on BC, with ∠BEG > 60°. Now, along the line EG, the paper is folded such that point B falls on point H on the paper. Connect AH. The number of angles equal to ∠BEG... | [
"cold_start_9k/images/40402.jpg"
] |
[
{
"content": "<image>\nQuestion: (5 points) Read the program flowchart shown in the image, run the corresponding program, and the output value of S is__;",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing S to 1 and i to 1. Th... | [
"cold_start_9k/images/40406.jpg"
] |
[
{
"content": "<image>\nQuestion: Mother squirrel collects pine cones.\n\nOver several days, she collected a total of 112 pine cones, averaging 14 per day. How many of these days were rainy days?",
"role": "user"
},
{
"content": "<perception>The image shows a cartoon squirrel with a speech bubble. Th... | [
"cold_start_9k/images/40416.jpg"
] |
[
{
"content": "<image>\nQuestion: Observe the numbers inside the four triangles shown in the image, and determine the value of M: ____.",
"role": "user"
},
{
"content": "<perception>The image shows four triangles. Each triangle has three numbers, one at each vertex.\nTriangle 1: Top vertex has 5, bot... | [
"cold_start_9k/images/40427.jpg"
] |
[
{
"content": "<image>\nQuestion: In the graph, how many countries' data is displayed?",
"role": "user"
},
{
"content": "<perception>The image is a line graph titled \"Access to computers from home\" and subtitled \"Total, % of all households, 2007-2013\". The x-axis represents the years from 2007 to... | [
"cold_start_9k/images/40437.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the equation is a linear equation in two variables, then m - n = _______.",
"role": "user"
},
{
"content": "<perception>The image shows the equation x^(m-3) + y^(2-n) = 6. The problem states that this equation is a linear equation in two variables. This m... | [
"cold_start_9k/images/40445.jpg"
] |
[
{
"content": "<image>\nQuestion: The maximum value of the function is _____",
"role": "user"
},
{
"content": "<perception>The image shows the equation y = 4sin(x) + 3cos(x). This is a trigonometric function, and we are asked to find its maximum value. </perception>\n<reasoning>The given function is... | [
"cold_start_9k/images/40455.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the average percentage of people who think abortion should be legal in all/most cases among the Conservative and Liberal categories?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph titled \"Wide ideological gaps in both parties in views... | [
"cold_start_9k/images/40468.jpg"
] |
[
{
"content": "<image>\nQuestion: The minimum value of is __________________.",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical problem. Given that x and y are in the open interval (0, +∞), and 1/x + 2/(y+1) = 2, we need to find the minimum value of 2x + y.</perception>\n<... | [
"cold_start_9k/images/40471.jpg"
] |
[
{
"content": "<image>\nQuestion: When \\( a = -1 \\), the value of the algebraic expression is ______________________ .",
"role": "user"
},
{
"content": "<perception>The image shows an algebraic expression: (a+1)(a-2)-(a-2)(a+3). The question asks for the value of the expression when a = -1.</perce... | [
"cold_start_9k/images/40472.jpg"
] |
[
{
"content": "<image>\nQuestion: (2015 Autumn • Dezhou School-Level Midterm) As shown in the diagram, AD is the median of BC in triangle ABC, and E and F are the midpoints of AD and BE, respectively. If the area of triangle BFD is 6, then the area of triangle ABC is ____.",
"role": "user"
},
{
"cont... | [
"cold_start_9k/images/40508.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the flowchart in the image, if the input value of x is 1, then the output result is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start), then takes an input value x. It initializes i to 1. Th... | [
"cold_start_9k/images/40517.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the minimum value of the Should bar?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph titled \"Divisions within NATO on defending an alliance ally\". The graph shows the percentage of people in different countries who think their country... | [
"cold_start_9k/images/40521.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the average number of stuffed animals in the collections?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Stuffed animal collections\". The table has two columns: \"Name\" and \"Number of stuffed animals\". The rows list the names ... | [
"cold_start_9k/images/40526.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure is the net of a rectangular prism. Find the volume of this rectangular prism. (Unit: centimeters)",
"role": "user"
},
{
"content": "<perception>The image shows a net of a rectangular prism. The dimensions are labeled as 4, 6, and 15. The net co... | [
"cold_start_9k/images/40536.jpg"
] |
[
{
"content": "<image>\nQuestion: Xiaoxiao's mother bought four types of fruits as shown in the picture, and she intends to make a fruit platter to serve the guests. The fruit platter must contain at least three different types of fruits. Try to make the fruit platters yourself and see how many different combina... | [
"cold_start_9k/images/40539.jpg"
] |
[
{
"content": "<image>\nQuestion: (5 points) (2015•Chenghai District School-Level Second Mock Exam) The function \\( f(x) \\) defined on \\( \\mathbb{R} \\) satisfies \\( f(x) = \\). Then the value of \\( f(2013) \\) is \\(-3\\).",
"role": "user"
},
{
"content": "<perception>The image shows a piecew... | [
"cold_start_9k/images/40546.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total cost for taking a bicycle on the Southport-Fort Fisher, Fauntleroy-Vashon, and Seattle-Bremerton ferries combined?",
"role": "user"
},
{
"content": "<perception>The image is a table showing ferry fares for different routes. The table has three colum... | [
"cold_start_9k/images/40548.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Kimi need to buy a bucket and a wrench?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are: padlock ($2), measuring tape ($5), watering can ($4), wrench ($6), broom ($8), and bucket ($6). ... | [
"cold_start_9k/images/40555.jpg"
] |
[
{
"content": "<image>\nQuestion: Uncle plans to assemble 450 bicycles in a month. How many bicycles were actually assembled over the plan this month?",
"role": "user"
},
{
"content": "<perception>The image shows a man standing next to a bicycle. A speech bubble next to him says \"This month actually... | [
"cold_start_9k/images/40577.jpg"
] |
[
{
"content": "<image>\nQuestion: Xiao Lan took 8 minutes to travel from home to the post office. She used the same speed to travel from the post office to the school, which took 12 minutes. How many meters is the distance from the post office to the school?",
"role": "user"
},
{
"content": "<percept... | [
"cold_start_9k/images/40583.jpg"
] |
[
{
"content": "<image>\nQuestion: (2010 Autumn • Jingzhou District School-level Final Exam) Given the following program, when the input is t=5, the output result is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a program written in a simple programming language. The program star... | [
"cold_start_9k/images/40587.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the equation of an ellipse as , with its two foci being \\( F_{1} \\) and \\( F_{2} \\), if \\( | F_{1}F_{2} | = 8 \\) and the chord \\( AB \\) passes through \\( F_{1} \\), then the perimeter of \\(\\triangle ABF_{2}\\) is ____ ▲____.",
"role": "user"
},
{
"co... | [
"cold_start_9k/images/40588.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total amount of money Bonnie needs to purchase 5 bird postcards and 2 coyote stamps?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are: bird postcard ($0.70), lighthouse postcard ($0.66), coyote ... | [
"cold_start_9k/images/40589.jpg"
] |
[
{
"content": "<image>\nQuestion: The stem-and-leaf plot shown in the image records the math scores of two groups, Group A and Group B ($4$ students per group) in the final exam. One of the scores in Group B is unclear and is represented by $a$ in the plot. It is known that the average math scores of Group A and... | [
"cold_start_9k/images/40594.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a cylindrical oil barrel with a base radius of 0.5m is lying flat on the ground. If the barrel is to be rolled (without sliding) to the wall, approximately how many full rotations would it take?",
"role": "user"
},
{
"content": "<perception>Th... | [
"cold_start_9k/images/40596.jpg"
] |
[
{
"content": "<image>\nQuestion: How many lucky stars were folded in total?",
"role": "user"
},
{
"content": "<perception>The image shows three children folding lucky stars. The first child says \"I folded 27 stars.\" The second child says \"I folded 37 stars.\" The third child says \"I folded 32 st... | [
"cold_start_9k/images/40608.jpg"
] |
[
{
"content": "<image>\nQuestion: Calculate: ____",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: (1/2)^(-2) - 2^3 * 0.125 + 2004^0 + |-1|. It involves exponents, multiplication, and absolute value. </perception> <reasoning>Let's break down the calculation ste... | [
"cold_start_9k/images/40615.jpg"
] |
[
{
"content": "<image>\nQuestion: The following is a schematic diagram of a school playground track. How many meters is one lap around the track?",
"role": "user"
},
{
"content": "<perception>The image shows a schematic diagram of a school playground track. The track consists of two straight sections... | [
"cold_start_9k/images/40623.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the diagram, point C is a point on line segment AB, and M and N are the midpoints of AC and BC, respectively, and MN = 24 cm. Then, the length of line segment AB = ____.",
"role": "user"
},
{
"content": "<perception>The image shows a line segment AB. Poin... | [
"cold_start_9k/images/40629.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the difference in the number of games won between the year with the most wins and the year with the least wins?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Hockey games won by Douglas High\". The table has two columns: \"Year\"... | [
"cold_start_9k/images/40641.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, $$\\triangle ABC$$ ≌ $$\\triangle DCB$$, the corresponding vertices of $$A$$ and $$B$$ are points $$D$$ and $$C$$ respectively. If $$AB=7cm$$, $$BC=12cm$$, $$AC=9cm$$, and $$DO=2cm$$, then the length of $$OC$$ is ______ $$cm$$.",
"role": "user"
},
... | [
"cold_start_9k/images/40645.jpg"
] |
[
{
"content": "<image>\nQuestion: Xiaoqiang wants to divide 20 beads into 5 piles with unequal amounts in each pile. The maximum number of beads in the largest pile can be _____.",
"role": "user"
},
{
"content": "<perception>The image shows a colorful beaded bracelet. The bracelet has multiple strand... | [
"cold_start_9k/images/40649.jpg"
] |
[
{
"content": "<image>\nQuestion: :",
"role": "user"
},
{
"content": "<perception>The image shows a 10-story building. A man is saying that the building is 29.2 meters tall. The first floor is a shop and is 4 meters tall. The other 9 floors are residential. Another man is asking how tall each residen... | [
"cold_start_9k/images/40654.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Coach Li need to spend to buy 5 sets of sportswear for the students?",
"role": "user"
},
{
"content": "<perception>The image shows a jacket and a pair of pants. The jacket costs 95 yuan and the pants cost 84 yuan. The question asks how much money ... | [
"cold_start_9k/images/40662.jpg"
] |
[
{
"content": "<image>\nQuestion: If \\( a \\) and \\( b \\) are additive inverses, \\( c \\) and \\( d \\) are reciprocals, and the absolute value of \\( m \\) is 2, then the value of is _____ .",
"role": "user"
},
{
"content": "<perception>The image shows the expression (a+b)/m + m^2 - cd. We are ... | [
"cold_start_9k/images/40692.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the hypotenuse AB of right triangle ABC lies on the number line, with AC = 3 and ∠ABC = 30°. Point A corresponds to the number -2. What number does point B correspond to? ____.",
"role": "user"
},
{
"content": "<perception>The image shows a ri... | [
"cold_start_9k/images/40734.jpg"
] |
[
{
"content": "<image>\nQuestion: Place a ruler on the number line as shown in the figure (the unit length of the number line is 1 cm). Points A and B on the number line exactly correspond to \"0 cm\" and \"7 cm\" on the ruler, respectively. If the number represented by point A is -2.3, then the number represent... | [
"cold_start_9k/images/40743.jpg"
] |
[
{
"content": "<image>\nQuestion: (2005•Yichang) As shown in the diagram, the lines AB and CD intersect at point O. If ∠1 equals 28°, then ∠2 equals ____ degrees.",
"role": "user"
},
{
"content": "<perception>The image shows two lines, AB and CD, intersecting at point O. Angle 1 is formed by lines CB... | [
"cold_start_9k/images/40751.jpg"
] |
[
{
"content": "<image>\nQuestion: The positions of three numbers a, b, and c on the number line are shown in the figure, and |a|<|c|<|b|. Simplify: |a-c|-|b+a|+|b-c|-|-2c|.",
"role": "user"
},
{
"content": "<perception>The image shows a number line with four points labeled a, b, 0, and c. The point 0... | [
"cold_start_9k/images/40755.jpg"
] |
[
{
"content": "<image>\nQuestion: If the value of the fraction is 0, then the value of x is ___.",
"role": "user"
},
{
"content": "<perception>The image shows a fraction. The numerator is 2x-6 and the denominator is x-1. The fraction is (2x-6)/(x-1). </perception>\n<reasoning>The question asks for t... | [
"cold_start_9k/images/40785.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the , a tree breaks at a point 9 meters above the ground, with the top of the tree landing 12 meters away from its base. The tree was (___) meters tall before it broke.",
"role": "user"
},
{
"content": "<perception>The image shows a diagram of a broken tr... | [
"cold_start_9k/images/40800.jpg"
] |
[
{
"content": "<image>\nQuestion: Another 4 birds flew in. How many birds are there on the tree now?",
"role": "user"
},
{
"content": "<perception>The image shows a tree with some birds on it and some birds flying towards the tree. A speech bubble says \"There are already 7 birds on the tree\". There... | [
"cold_start_9k/images/40803.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the percentage of strong support among all adults?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph titled \"About four-in-ten black adults strongly support Black Lives Matter\". The subtitle is \"% saying they... the Black Lives Matter ... | [
"cold_start_9k/images/40804.jpg"
] |
[
{
"content": "<image>\nQuestion: Arrange all positive integers in a table as shown in the figure, following the principle of ascending from top to bottom and left to right, with the i-th row containing 2^{i-1} positive integers. Let a_{ij} (i, j∈N^{*}) denote the number located in the i-th row from top to botto... | [
"cold_start_9k/images/40806.jpg"
] |
[
{
"content": "<image>\nQuestion: (6 points) Solve the equation: _",
"role": "user"
},
{
"content": "<perception>The image shows the equation $\\frac{2}{x-2} - \\frac{3}{x} = 0$. We need to solve for $x$.</perception>\n<reasoning>The equation is $\\frac{2}{x-2} - \\frac{3}{x} = 0$.\nTo solve this equ... | [
"cold_start_9k/images/40816.jpg"
] |
[
{
"content": "<image>\nQuestion: There is a set of 10 statistical data, which are: . Given that the mean of this set of data is 6, the variance of this set of data is _______.",
"role": "user"
},
{
"content": "<perception>The image shows a set of 10 numbers: 2, 4, 4, 5, 5, 6, 7, 8, 9, x. The problem... | [
"cold_start_9k/images/40826.jpg"
] |
[
{
"content": "<image>\nQuestion: In △ABC, with at ∠C being 90°, DE perpendicularly bisects the hypotenuse AB, intersecting AB and BC respectively at D and E. If ∠B equals 25°, find the measure of ∠EAC.",
"role": "user"
},
{
"content": "<perception>The image shows a right triangle ABC, with angle C ... | [
"cold_start_9k/images/40842.jpg"
] |
[
{
"content": "<image>\nQuestion: The output value of T in the flowchart shown in the right image is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start).\n1. T is initialized to 1.\n2. I is initialized to 2.\n3. A loop begins:\n ... | [
"cold_start_9k/images/40849.jpg"
] |
[
{
"content": "<image>\nQuestion: The program flowchart is shown in the figure. If the input values of \\(a\\), \\(b\\), and \\(c\\) are 3, 4, and 5 respectively, then the output value of \\(y\\) is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart start... | [
"cold_start_9k/images/40853.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, there are ____ parallelograms.",
"role": "user"
},
{
"content": "<perception>The image shows a rectangle with three parallelograms formed within it. The first parallelogram is formed on the left side of the rectangle, the second in the middle,... | [
"cold_start_9k/images/40856.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the , in $$\\triangle ABC$$, $$\\angle A=30^{\\circ}$$, $$\\angle B=70^{\\circ}$$, $$CE$$ bisects $$\\angle ACB$$, $$CD\\perp AB$$ at $$D$$, $$DF\\perp CE$$, then $$\\angle CDF=$$ ______ $${\\,\\!}^{\\circ}.$$.",
"role": "user"
},
{
"content": "<perceptio... | [
"cold_start_9k/images/40884.jpg"
] |
[
{
"content": "<image>\nQuestion: Each branch has 2 beetles. How many beetles are on 3 branches?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of branches\" and the second column is labeled \"Number of beetles\". The first ro... | [
"cold_start_9k/images/40885.jpg"
] |
[
{
"content": "<image>\nQuestion: Based on the information provided in the image, it is known that the price of a cup is ______ yuan.",
"role": "user"
},
{
"content": "<perception>The image shows two sets of items with their total prices. The first set contains one thermos and one cup, totaling 43 yu... | [
"cold_start_9k/images/40890.jpg"
] |
[
{
"content": "<image>\nQuestion: Look at the image to answer: How many units are sold on average per day?",
"role": "user"
},
{
"content": "<perception>The image shows a thought bubble coming from a car. The text inside the thought bubble says \"汽车公司从3月28日到4月2日共卖汽车120辆。\" which translates to \"The c... | [
"cold_start_9k/images/40915.jpg"
] |
[
{
"content": "<image>\nQuestion: In the parallelogram \\(ABCD\\) shown in the figure, it is known that \\(AB = 8\\), \\(AD = 5\\), \\(\\overrightarrow{CP} = 3 \\overrightarrow{PD}\\), and \\(\\overrightarrow{AP} \\cdot \\overrightarrow{BP} = 2\\). Determine the value of \\(\\overrightarrow{AB} \\cdot \\overrigh... | [
"cold_start_9k/images/40920.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the output of the program is s=___.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing two variables: i = 12 and s = 1. The program then enters a loop. The loop conditio... | [
"cold_start_9k/images/40924.jpg"
] |
[
{
"content": "<image>\nQuestion: (5 points) If \\( ab = 2 \\), \\( a + b = 3 \\), find the value of .",
"role": "user"
},
{
"content": "<perception>The image shows the expression \"3a^2 + 3b^2\". It is a mathematical expression involving variables a and b, each raised to the power of 2 and multiplie... | [
"cold_start_9k/images/40926.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the difference in the number of respondents between the most preferred and least preferred activities?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Preferred break activities\". The table has two columns: \"Activity\" and \"Numb... | [
"cold_start_9k/images/40927.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart as shown in the figure, the output value of a is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a simple program. The program starts with initializing two variables, a and n, to 1. Then, there is a lo... | [
"cold_start_9k/images/40929.jpg"
] |
[
{
"content": "<image>\nQuestion: Linnie just finished reading a novel. Can you find out how many pages the novel has?",
"role": "user"
},
{
"content": "<perception>The image shows a cartoon girl saying \"I read 32 pages per hour, I read 3 hours a day, and I finished reading in 4 days\".</perception>... | [
"cold_start_9k/images/40940.jpg"
] |
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