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[ { "content": "<image>\nQuestion: (1) Teacher Wang wants to buy 3 bookshelves, and the number of chairs he buys is five times the number of bookshelves. How much money will Teacher Wang spend in total?\n(2) Can you pose any other questions? And solve them.", "role": "user" }, { "content": "<perceptio...
[ "cold_start_9k/images/67993.jpg" ]
[ { "content": "<image>\nQuestion: During the \"Eleventh Five-Year Plan\" period of five years, China's total economic output continuously reached new heights, and the industrial structure continuously improved. In 2010, the tertiary industry's share of the gross domestic product (GDP) was 43.0%, an increase of 2...
[ "cold_start_9k/images/67996.jpg" ]
[ { "content": "<image>\nQuestion: The autumn wind blows and the leaves of the big tree fall down. On the first day, 18 leaves fell. On the second day, 13 more leaves fell than on the first day. On the third day, the number of fallen leaves was twice that of the second day. How many leaves in total fell from the ...
[ "cold_start_9k/images/67997.jpg" ]
[ { "content": "<image>\nQuestion: How much more does this cost than a piece of rope?", "role": "user" }, { "content": "<perception>The image shows a list of items and their prices. The items are: small paintbrush ($0.42), piece of rope ($0.44), piece of plastic pipe ($0.94), elastic band ($0.12), bra...
[ "cold_start_9k/images/67998.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the , OA is perpendicular to OB, ∠BOC is 40°, OD bisects ∠AOC, then the degree measure of ∠BOD is ______ degrees.", "role": "user" }, { "content": "<perception>The image shows four rays emanating from a common point O. Ray OA is horizontal and points to t...
[ "cold_start_9k/images/68017.jpg" ]
[ { "content": "<image>\nQuestion: The problem shown is a flowchart of an algorithm. The output value of $$n$$ is ____.", "role": "user" }, { "content": "<perception>The image shows a flowchart of an algorithm. The algorithm starts with initializing two variables: A to 2 and n to 1. Then, in a loop, A...
[ "cold_start_9k/images/68019.jpg" ]
[ { "content": "<image>\nQuestion: What is the total number of pizzas made by the chef over the past 5 days?", "role": "user" }, { "content": "<perception>The image is a table titled \"Pizzas made\". The table has two columns: \"Day\" and \"Number of pizzas\". The rows list the days Wednesday, Thursda...
[ "cold_start_9k/images/68037.jpg" ]
[ { "content": "<image>\nQuestion: Execute the flowchart shown in the image, and the output is ___. ___", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with initializing A and B to 1. Then, there is a loop. Inside the loop, A is updated to A + 3B - 1, an...
[ "cold_start_9k/images/68050.jpg" ]
[ { "content": "<image>\nQuestion: The diagram shows a numeric conversion machine. If the value of the input x is 3 and the value of y is -2, then the output result is .", "role": "user" }, { "content": "<perception>The image shows a flowchart representing a numeric conversion machine. The machine tak...
[ "cold_start_9k/images/68076.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the image, Grandpa Zhang's vegetable greenhouse is planted with three types of vegetables: green vegetables, peppers, and cucumbers.\n(1) What percentage of the total area of the vegetable greenhouse is planted with cucumbers?\n(2) Given that the area planted with cu...
[ "cold_start_9k/images/68080.jpg" ]
[ { "content": "<image>\nQuestion: What is the total amount of money that Suzie needs to purchase a book signed by a famous author, a CD signed by a famous band, and a program signed by a famous dancer?", "role": "user" }, { "content": "<perception>The image shows a list of items and their prices. The...
[ "cold_start_9k/images/68088.jpg" ]
[ { "content": "<image>\nQuestion: The diagram shows the process of Mr. Wang downloading a file on his computer. The computer indicates that the total time required to download this file is 20 minutes. How many more minutes does Mr. Wang need to wait to complete downloading this file?", "role": "user" }, ...
[ "cold_start_9k/images/68094.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the image: These pictures are arranged by small squares, so the bottom layer of the 2011th picture contains ____ small squares.", "role": "user" }, { "content": "<perception>The image shows a sequence of figures constructed from small squares. The first f...
[ "cold_start_9k/images/68111.jpg" ]
[ { "content": "<image>\nQuestion: It's holiday time, and Xiao Ming and Xiao Li go to a vegetable processing plant for social practice. After working for a while, they take a break. Xiao Ming says to Xiao Li, \"I have processed 28 kilograms. How about you?\" Xiao Li thinks for a moment and says, \"Let me test you...
[ "cold_start_9k/images/68117.jpg" ]
[ { "content": "<image>\nQuestion: On a scale map, the length of a classroom measures 8 cm and the width measures 6 cm. The actual area of this classroom is (____) m^{2}.", "role": "user" }, { "content": "<perception>The image shows the fraction 1/100. This fraction likely represents a scale factor or...
[ "cold_start_9k/images/68125.jpg" ]
[ { "content": "<image>\nQuestion: During the summer vacation, Teacher Wang took 24 children to visit the insect specimen exhibition. What is the minimum amount of money needed?", "role": "user" }, { "content": "<perception>The image shows a ticket price list. The adult ticket price is 25 yuan, and th...
[ "cold_start_9k/images/68131.jpg" ]
[ { "content": "<image>\nQuestion: (2011 Autumn, Suqian Midterm) Count the number of parallelograms in the diagram: _____.", "role": "user" }, { "content": "<perception>The image shows a parallelogram divided into four smaller parallelograms by a horizontal and a vertical line. The larger parallelogra...
[ "cold_start_9k/images/68136.jpg" ]
[ { "content": "<image>\nQuestion: Xiao Ming went to the store to buy pencils and notebooks. The receipt is as follows:\n\nHowever, the quantity of notebooks got smudged by ink. Can you help him figure out how many notebooks he bought?", "role": "user" }, { "content": "<perception>The image shows a re...
[ "cold_start_9k/images/68140.jpg" ]
[ { "content": "<image>\nQuestion: A store is having a promotion on items (the promotion rules are shown in the image). Ms. Zhang and Ms. Wang went shopping together at the store. Ms. Zhang wants to buy a washing machine for 800 yuan, and Ms. Wang wants to buy a wool sweater for 200 yuan. How much money can they ...
[ "cold_start_9k/images/68149.jpg" ]
[ { "content": "<image>\nQuestion: If =2, then the real number k=_________.", "role": "user" }, { "content": "<perception>The image shows a definite integral from 0 to 1 of the function (2x + k) with respect to x. The integral is written as ∫₀¹ (2x + k) dx. The question states that the value of this i...
[ "cold_start_9k/images/68153.jpg" ]
[ { "content": "<image>\nQuestion: (Autumn 2015 • Gaoyang County Final Exam) As shown in the figure, O is a point on the line segment AB. E and F are the midpoints of AO and OB, respectively. If EF = 3 and AO = 2, then OB = ____.", "role": "user" }, { "content": "<perception>The image shows a line seg...
[ "cold_start_9k/images/68168.jpg" ]
[ { "content": "<image>\nQuestion: Here is a flowchart of an algorithm. When the input value is $$3$$, the output result is ______.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then \"Input x\". A diamond shape represents a decision: \...
[ "cold_start_9k/images/68171.jpg" ]
[ { "content": "<image>\nQuestion: If the hyperbola passes through the point (-5, k), then k = __________.", "role": "user" }, { "content": "<perception>The image shows the equation y = 5/x. The question asks to find the value of k if the hyperbola passes through the point (-5, k). </perception>\n<re...
[ "cold_start_9k/images/68190.jpg" ]
[ { "content": "<image>\nQuestion: According to the flowchart shown, the number of times the loop is executed is ________.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). It initializes two variables: I to 2 and S to 0. Then, it ente...
[ "cold_start_9k/images/68192.jpg" ]
[ { "content": "<image>\nQuestion: Xiaoming takes an escalator from the first floor to the second floor in a shopping mall. After 24 seconds on the escalator, he is still 6 steps away from the second floor; after 27 seconds on the escalator, he is still 1 step away from the second floor. How many steps are there ...
[ "cold_start_9k/images/68194.jpg" ]
[ { "content": "<image>\nQuestion: In the program shown to the right, the sum of all output results is (___)", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts with initializing two variables, i and s, to 1 and 0 respectively. Then, it enters a l...
[ "cold_start_9k/images/68202.jpg" ]
[ { "content": "<image>\nQuestion: :\n\nThe function relationship between the price P (in yuan) of a certain product and the time t (in days) in the past 40 days is: The function relationship between the sales volume Q (in units) of this product and time t (in days) is: Q = -t + 40, (0 ≤ t ≤ 40). Find the maximu...
[ "cold_start_9k/images/68221.jpg" ]
[ { "content": "<image>\nQuestion: How much money is needed to buy a book about Antarctica and a book about art?", "role": "user" }, { "content": "<perception>The image shows a list of books and their prices. \"book about Antarctica\" costs $5.03. \"book about airplanes\" costs $4.81. \"book about bas...
[ "cold_start_9k/images/68222.jpg" ]
[ { "content": "<image>\nQuestion: How many guests can accommodate at the same time?", "role": "user" }, { "content": "<perception>The image shows an outdoor seating area of a restaurant. There are round tables and square tables. A woman is standing and saying \"There are 7 round tables and 6 square ...
[ "cold_start_9k/images/68223.jpg" ]
[ { "content": "<image>\nQuestion: Read the flowchart shown in the image, then the output S = ______.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). Then, it initializes two variables: S = 1 and i = 1.\nThe flowchart then enters a l...
[ "cold_start_9k/images/68229.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the picture, there are two wooden boards each 46 centimeters long, nailed together to form a single 86 centimeters long board. How many centimeters is the overlapping part that is nailed in the middle?", "role": "user" }, { "content": "<perception>The ima...
[ "cold_start_9k/images/68257.jpg" ]
[ { "content": "<image>\nQuestion: (Autumn 2016 • Midterm Exam of Rongcheng City School) As shown in the figure, there are three views of a simple geometric solid. The lateral surface area of this solid is _____.", "role": "user" }, { "content": "<perception>The image shows three views of a geometric ...
[ "cold_start_9k/images/68269.jpg" ]
[ { "content": "<image>\nQuestion: Given a complex number (where i is the imaginary unit), then |z|= ___________;", "role": "user" }, { "content": "<perception>The image shows the equation z = (3 + i)^2. This represents a complex number z defined as the square of the complex number (3 + i). To find t...
[ "cold_start_9k/images/68275.jpg" ]
[ { "content": "<image>\nQuestion: Calculate the area of each trapezoid in the diagram. What do you notice? (Unit: cm)", "role": "user" }, { "content": "<perception>The image shows a diagram with three trapezoids overlapping each other. The height of each trapezoid is 6 cm. The top base of each trapez...
[ "cold_start_9k/images/68283.jpg" ]
[ { "content": "<image>\nQuestion: If the fractional equation has an extraneous root, then the value of m is (__).", "role": "user" }, { "content": "<perception>The image shows a fractional equation: (x-1)/(x-4) = m/(x-4). The denominators on both sides are the same, (x-4). An extraneous root occurs w...
[ "cold_start_9k/images/68287.jpg" ]
[ { "content": "<image>\nQuestion: The following bar graph shows the frequency of male and female students in the senior year of a certain school who like basketball. The shaded part indicates the frequency of those who like the sport. It is known that there are 500 boys and 500 girls in this grade (assuming all ...
[ "cold_start_9k/images/68290.jpg" ]
[ { "content": "<image>\nQuestion:", "role": "user" }, { "content": "<perception>The image shows the mathematical expression \"10 - (-7)\". It involves the subtraction of a negative number from a positive number. </perception> <reasoning>The expression is 10 - (-7). Subtracting a negative number is th...
[ "cold_start_9k/images/68308.jpg" ]
[ { "content": "<image>\nQuestion: What is the industrial production index value for Portugal?", "role": "user" }, { "content": "<perception>The image is a bar graph titled \"Industrial production\" with the subtitle \"Total, 2015=100, 2019\". The x-axis represents different countries: Germany, Portug...
[ "cold_start_9k/images/68342.jpg" ]
[ { "content": "<image>\nQuestion: If \\( a + b = 4 \\) and \\( ab = 3 \\), then _________.", "role": "user" }, { "content": "<perception>\nThe image shows the beginning of the Pythagorean theorem: \"a squared plus b squared equals\". It is not the complete theorem, but only the left side of the equat...
[ "cold_start_9k/images/68347.jpg" ]
[ { "content": "<image>\nQuestion: Execute the program flowchart as shown in the image. If the input x = 5.2, then the output y is ____.", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by taking an input x. Then it calculates y = |x-2|. After ...
[ "cold_start_9k/images/68352.jpg" ]
[ { "content": "<image>\nQuestion: Given that a, b, c are the sides opposite to the internal angles A, B, C in △ABC respectively, if a = 1, , and A + B = 2C, then sinB = ____", "role": "user" }, { "content": "<perception>The image shows the equation \"c = sqrt(3)\". This equation gives the value of si...
[ "cold_start_9k/images/68353.jpg" ]
[ { "content": "<image>\nQuestion: The coach analyzed the video of Xiaoming's shot put technique and found that the relationship between the shot put's height $$y(m)$$ and the horizontal distance $$x(m)$$ is given by $$y=- \\dfrac {1}{12}(x-4)^{2}+3$$. From this, we can determine that the shot put distance is ___...
[ "cold_start_9k/images/68391.jpg" ]
[ { "content": "<image>\nQuestion: What is the total number of trees planted by all organizations combined?", "role": "user" }, { "content": "<perception>The image is a table titled \"Trees planted\". The table has two columns: \"Organization\" and \"Number of trees planted\". The organizations listed...
[ "cold_start_9k/images/68425.jpg" ]
[ { "content": "<image>\nQuestion: A fast train travels from point A to point B, while a slow train travels from point B to point A. Both trains depart at the same time. The distance between the two trains and the travel time of the slow train are shown in the figure. From the graph, it can be determined that the...
[ "cold_start_9k/images/68432.jpg" ]
[ { "content": "<image>\nQuestion: Qin Jiushao's algorithm is an excellent ancient Chinese method for finding the value of a polynomial . If \\( f(x) = 2x^{4} + 5x^{3} - x^{2} + 3x + 4 \\), then \\( f(6) = \\)______", "role": "user" }, { "content": "<perception>The image shows the general form of a po...
[ "cold_start_9k/images/68434.jpg" ]
[ { "content": "<image>\nQuestion: :\n\nGiven a flowchart that processes a program, if the output value of \\( S \\) is \\( \\dfrac{2^9 - 1}{2^9} \\), determine the integer value of \\( a \\) in the decision box.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart ...
[ "cold_start_9k/images/68444.jpg" ]
[ { "content": "<image>\nQuestion: Given that tanα = 2, then = __________ .", "role": "user" }, { "content": "<perception>The image shows a mathematical expression: a fraction with the numerator \"2sinα - 3cosα\" and the denominator \"4sinα - 9cosα\".</perception> <reasoning>The expression is (2sinα ...
[ "cold_start_9k/images/68459.jpg" ]
[ { "content": "<image>\nQuestion: Given ∠AOB=55°, find ∠DOB=____°", "role": "user" }, { "content": "<perception>The image shows a diagram with a straight line DA and a point O on it. There are two rays, OC and OB, emanating from point O. Ray OC is perpendicular to ray OB, forming a right angle. Angle...
[ "cold_start_9k/images/68477.jpg" ]
[ { "content": "<image>\nQuestion: If the value of the fraction is zero, then the value of x is (__).", "role": "user" }, { "content": "<perception>The image shows a fraction. The numerator is x squared minus 9. The denominator is 2x minus 6.</perception>\n<reasoning>The fraction is $\\frac{x^2-9}{2x...
[ "cold_start_9k/images/68481.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the image, fill in each small cell from left to right with an integer such that the sum of the integers in any three adjacent cells is the same. Given that c equals 3, what is the number in the 2009th cell?", "role": "user" }, { "content": "<perception>Th...
[ "cold_start_9k/images/68502.jpg" ]
[ { "content": "<image>\nQuestion: Divide a circle into 16 equal parts, then cut and reassemble into an approximate rectangle (as shown in the image). Given that the length of this approximate rectangle is 9.42 cm, the area of this circle is ____ square centimeters.", "role": "user" }, { "content": "<...
[ "cold_start_9k/images/68515.jpg" ]
[ { "content": "<image>\nQuestion: Read the flowchart shown in the image, run the corresponding program, the output result is ________.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start).\n1. Initialize S to 2.\n2. Initialize n to 1.\n3....
[ "cold_start_9k/images/68516.jpg" ]
[ { "content": "<image>\nQuestion: ___________.", "role": "user" }, { "content": "<perception>The image shows a definite integral expression. It is the integral of (2x+1) with respect to x, from the lower limit 0 to the upper limit 1. The expression is: ∫_0^1 (2x+1) dx = </perception>\n<reasoning>The...
[ "cold_start_9k/images/68534.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, on a number line on the paper, if the paper is folded so that the point representing 1 coincides with the point representing -3, and if the distance between points A and B on the number line is 9 (with A to the left of B), and points A and B coincide afte...
[ "cold_start_9k/images/68537.jpg" ]
[ { "content": "<image>\nQuestion: How much money does Terrence need to buy a sailboat, a motorcycle, and a kayak?", "role": "user" }, { "content": "<perception>The image shows a table with two columns. The left column lists items: motorcycle, sailboat, dirt bike, and kayak. The right column lists the...
[ "cold_start_9k/images/68541.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, an isosceles triangular piece of paper has a base length of 15 cm and a height on the base of 22.5 cm. The paper is now cut along the base from bottom to top into rectangular strips, each with a width of 3 cm, as shown in the figure. It is known that one ...
[ "cold_start_9k/images/68543.jpg" ]
[ { "content": "<image>\nQuestion: The picture shows the development diagram of a cylindrical paper cup. A pot of 2.2 liters of boiling water, approximately how many cups of this kind can it fill? (Use π = 3 for calculation)", "role": "user" }, { "content": "<perception>The image shows the development...
[ "cold_start_9k/images/68550.jpg" ]
[ { "content": "<image>\nQuestion: In the binomial expansion, the coefficient of the term containing x^{2} is _______ .", "role": "user" }, { "content": "<perception>The image shows the expression (2√x - 1/√x)^6. This is a binomial expression raised to the power of 6. We need to find the coefficient o...
[ "cold_start_9k/images/68554.jpg" ]
[ { "content": "<image>\nQuestion: Let the set \\(U = \\{1, 2, 3, 4, 5\\}\\), \\(A = \\{2, 4\\}\\), \\(B = \\{1, 2, 3\\}\\). The set represented by the shaded area in the figure is (\\_\\_ ).", "role": "user" }, { "content": "<perception>The image shows a Venn diagram. There is a rectangle labeled U, ...
[ "cold_start_9k/images/68567.jpg" ]
[ { "content": "<image>\nQuestion: The flowchart of a certain program is shown in the figure. The value of k output by the program after its execution is _____.__", "role": "user" }, { "content": "<perception>The image shows a flowchart for a program. The program starts with initializing k to 2. Then,...
[ "cold_start_9k/images/68568.jpg" ]
[ { "content": "<image>\nQuestion: (5 points)_ Calculate: (1)_", "role": "user" }, { "content": "<perception>The image contains a mathematical expression: (-1/2)^(-1) - 3tan(30°) + (1-√2)^0 + |1-√3|. It involves fractions, trigonometric functions, exponents, and absolute values.</perception>\n<reasoni...
[ "cold_start_9k/images/68577.jpg" ]
[ { "content": "<image>\nQuestion: According to the algorithm flowchart shown in the figure, the output result i is ___.", "role": "user" }, { "content": "<perception>The image shows a flowchart of an algorithm. The algorithm starts with initializing two variables: i to 1 and s to 1. Then, it enters a...
[ "cold_start_9k/images/68584.jpg" ]
[ { "content": "<image>\nQuestion:", "role": "user" }, { "content": "<perception>The image shows a woman sewing clothes and a boy asking a math question. The woman is sewing clothes and a speech bubble says \"One piece of clothing needs 5 buttons\". The boy is asking \"There are two packages of clothe...
[ "cold_start_9k/images/68585.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, a circular metal plate with a radius of \\( R \\) has four small circles with a radius of \\( r \\) punched out of it. Xiao Gang measured \\( R = 6.8 \\) cm and \\( r = 1.6 \\) cm. He wants to know the area of the remaining shaded part. Can you use the fa...
[ "cold_start_9k/images/68601.jpg" ]
[ { "content": "<image>\nQuestion: If the equation with respect to x has an extraneous root, then m=___ .", "role": "user" }, { "content": "<perception>The image shows the equation (x-3)/(x-2) + m/(2-x) = 0. This is a rational equation with variable x and parameter m. The denominator of the first ter...
[ "cold_start_9k/images/68607.jpg" ]
[ { "content": "<image>\nQuestion: Collecting pine cones.", "role": "user" }, { "content": "<perception>The image shows a basket of pine cones and two squirrels. One squirrel is thinking, \"Each basket has 9 pine cones, there are 5 baskets in total.\" The other squirrel is thinking, \"Give away 20 pin...
[ "cold_start_9k/images/68621.jpg" ]
[ { "content": "<image>\nQuestion: (1) Calculate: (2) Simplify: \\((a+b)^2 + b(a - b)\\)", "role": "user" }, { "content": "<perception>The image shows a mathematical expression: | -5 | + 2^2 - (√3 + 1)^0. It involves absolute value, exponentiation, and a term raised to the power of 0.</perception>\n<...
[ "cold_start_9k/images/68629.jpg" ]
[ { "content": "<image>\nQuestion: How much money is needed to buy a padlock and a lawn sprinkler?", "role": "user" }, { "content": "<perception>The image shows a list of items and their prices. The items are: lawn sprinkler ($9.94), bucket ($4.22), hammer ($5.22), mop ($6.62), padlock ($8.99), and ga...
[ "cold_start_9k/images/68641.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, after a strong typhoon, a 16-meter high utility pole broke at point A, and the top of the pole, point C, landed 8 meters away from the base of the pole at point B. Find the height of the break point A above the ground.", "role": "user" }, { "c...
[ "cold_start_9k/images/68655.jpg" ]
[ { "content": "<image>\nQuestion: The total length of the Huning Expressway is 274 kilometers. A car travels from Nanjing to Shanghai and after 2 hours it is still 114 kilometers away from Shanghai.", "role": "user" }, { "content": "<perception>The image shows a road sign pointing towards Shanghai, a...
[ "cold_start_9k/images/68656.jpg" ]
[ { "content": "<image>\nQuestion: The flowchart of a certain program is shown in the figure. The output S = (____).", "role": "user" }, { "content": "<perception>The image shows a flowchart for a program. The program starts with initializing two variables, S and k, to 1. Then, it enters a loop. Insid...
[ "cold_start_9k/images/68662.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, Xiaoming starts from point A on the playground, moves forward 10 meters in a straight line, then turns left 30°, moves forward another 10 meters in a straight line, and then turns left 30° again. Repeating this pattern, the distance he has walked when he ...
[ "cold_start_9k/images/68665.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, AB is the diameter of the semicircle O, C is a point on the extension line of AB, CD is tangent to the semicircle at D, CD = 4, AB = 3BC. Then the length of AC is ___.", "role": "user" }, { "content": "<perception>The image shows a semicircle ...
[ "cold_start_9k/images/68669.jpg" ]
[ { "content": "<image>\nQuestion: There are 4 points on a circle. How many line segments can be formed by connecting any two points?", "role": "user" }, { "content": "<perception>The image shows a circle with four points marked on its circumference. The points are roughly equally spaced around the ci...
[ "cold_start_9k/images/68692.jpg" ]
[ { "content": "<image>\nQuestion: How many lines are in the graph?", "role": "user" }, { "content": "<perception>The image is a line graph titled \"A Widening Partisan Gap in Perceptions of Economic News\". The x-axis represents time, ranging from December 2008 to July 2011. The y-axis represents per...
[ "cold_start_9k/images/68698.jpg" ]
[ { "content": "<image>\nQuestion: _", "role": "user" }, { "content": "<perception>The image shows a mathematical expression: $(\\sqrt{2} - 2\\sqrt{3})(\\sqrt{2} + 2\\sqrt{3})$. This is a product of two binomials that are conjugates of each other. </perception>\n<reasoning>The expression is in the for...
[ "cold_start_9k/images/68723.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the perimeter of the large square is ____ times that of the small square.", "role": "user" }, { "content": "<perception>The image shows a large square composed of four smaller squares arranged in a 2x2 grid. There is also a single small square...
[ "cold_start_9k/images/68728.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, in △ABC, ∠C = 50°, then under the magnifying glass, ∠C in △ABC is ______ degrees.", "role": "user" }, { "content": "<perception>The image shows a triangle ABC with angle C inside a magnifying glass. The problem states that angle C is 50 degree...
[ "cold_start_9k/images/68736.jpg" ]
[ { "content": "<image>\nQuestion: The zero points of the function are ____________ .", "role": "user" }, { "content": "<perception>The image shows the function f(x) = log_2(x+1) - 1. It is a logarithmic function with base 2. The argument of the logarithm is (x+1), and the entire logarithm is subtrac...
[ "cold_start_9k/images/68741.jpg" ]
[ { "content": "<image>\nQuestion: According to the above flowchart, the output of the program after execution is ____.", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by initializing two variables, a and b, to 1. The program then enters a loo...
[ "cold_start_9k/images/68756.jpg" ]
[ { "content": "<image>\nQuestion: Observe the following number array, the 20th number in the 20th row is ___ .", "role": "user" }, { "content": "<perception>The image shows a triangular array of numbers. The first row has 1 number, the second row has 3 numbers, the third row has 5 numbers, the fourth...
[ "cold_start_9k/images/68764.jpg" ]
[ { "content": "<image>\nQuestion: ____", "role": "user" }, { "content": "<perception>The image shows a math problem. The problem is to calculate 2 cubed, which is written as 2^3 = .</perception>\n<reasoning>The problem asks to calculate 2 cubed, which is 2 to the power of 3. This means 2 * 2 * 2 = 8....
[ "cold_start_9k/images/68772.jpg" ]
[ { "content": "<image>\nQuestion: How many kilometers does the car travel per hour?", "role": "user" }, { "content": "<perception>The image shows an airplane and a car. The airplane's speed is given as 1425 kilometers per hour. The car travels 285 kilometers in 3 hours.</perception>\n<reasoning>The q...
[ "cold_start_9k/images/68777.jpg" ]
[ { "content": "<image>\nQuestion: To select athletes for a competition, the heights (in cm) of 7 candidates are recorded in a stem-and-leaf plot. The average height is 177 cm, but there is one candidate whose height record is unclear, with the last digit denoted as x. The value of x is _________.", "role": "...
[ "cold_start_9k/images/68778.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, △BEF is obtained by translating △ABC, with points A, B, and E lying on the same straight line. If ∠C = 20° and ∠ABC = 68°, then ∠CBF = ______ degrees.", "role": "user" }, { "content": "<perception>The image shows two triangles, △ABC and △BEF. ...
[ "cold_start_9k/images/68786.jpg" ]
[ { "content": "<image>\nQuestion: A company sells a certain brand of car in two locations, A and B, with profits (in 10,000 Yuan) being respectively, where x represents the sales volume (in units). If the company sells a total of 15 cars in these two locations, the maximum profit it can achieve is ___ 10,000 Yu...
[ "cold_start_9k/images/68790.jpg" ]
[ { "content": "<image>\nQuestion: The process depicted in the image is: Xiao Ming runs from home to the gym, exercises there for some time, then walks to Xinhua Bookstore to buy books, and finally walks back home. In which the time $$t($$minutes$$)$$ represents the distance $$s($$kilometers$$)$$ Xiao Ming is fro...
[ "cold_start_9k/images/68795.jpg" ]
[ { "content": "<image>\nQuestion: Calculate = ____________.", "role": "user" }, { "content": "<perception>The image shows a mathematical expression involving nested logarithms. The expression is log_{2023}[log_3(log_2(8))]. We need to evaluate this expression. </perception> <reasoning>First, we need ...
[ "cold_start_9k/images/68802.jpg" ]
[ { "content": "<image>\nQuestion: How much money is needed 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 ($0.5...
[ "cold_start_9k/images/68814.jpg" ]
[ { "content": "<image>\nQuestion: Xiaoping and Xiaoming set off from home to the pier at the same time (as shown in the figure). After 6 minutes, they meet at the pier. How many meters does Xiaoming walk per minute?", "role": "user" }, { "content": "<perception>The image shows Xiaoping and Xiaoming s...
[ "cold_start_9k/images/68820.jpg" ]
[ { "content": "<image>\nQuestion: The output result of the program flowchart shown on the right is ________ .", "role": "user" }, { "content": "<perception>The image shows a flowchart for a program. The program starts by initializing n to 3, s to 1, and k to 1. Then, it enters a loop that continues a...
[ "cold_start_9k/images/68824.jpg" ]
[ { "content": "<image>\nQuestion: The beauty of mathematics is everywhere. Mathematicians have discovered that the pitch of the sound produced by plucking a string depends on the length of the string. If several strings are tightened to the same tension and their lengths can be expressed as a ratio of integers, ...
[ "cold_start_9k/images/68833.jpg" ]
[ { "content": "<image>\nQuestion: Given , then f(-3) = ___.", "role": "user" }, { "content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = log_3(x) if x > 1\nf(x) = f(x+2) if x <= 1\nThe question asks for the value of f(-3).\n</perception>\n<reasoning>We are asked to f...
[ "cold_start_9k/images/68854.jpg" ]
[ { "content": "<image>\nQuestion: How many planets have a primary composition of ice?", "role": "user" }, { "content": "<perception>The image is a table showing the planets in our solar system, their volume in billions of cubic kilometers, and their primary composition. The planets listed are Mercury...
[ "cold_start_9k/images/68866.jpg" ]
[ { "content": "<image>\nQuestion: (2012•Guanghan City School Simulation) As shown in the figure, the surface area of the cube is 36 square decimeters. If it is cut along the dashed lines into 8 smaller cubes of equal volume, the surface area will increase by ____ square decimeters.", "role": "user" }, { ...
[ "cold_start_9k/images/68888.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the program flowchart, the output result of b is ___ .", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by initializing the variable 'a' to 1. Then, it enters a loop that continues as long as 'a' i...
[ "cold_start_9k/images/68895.jpg" ]
[ { "content": "<image>\nQuestion: Three children are calling each other to exchange greetings. Each pair of children makes one phone call. They will make a total of ____ phone calls.", "role": "user" }, { "content": "<perception>The image shows three children: Xiao Gang, Xiao Hong, and Xiao Li. They ...
[ "cold_start_9k/images/68906.jpg" ]
[ { "content": "<image>\nQuestion: Given the flowchart shown in the image, if the input value n is -4, the output value of n is ____.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then \"Input n\". After inputting n, the process goes to...
[ "cold_start_9k/images/68907.jpg" ]
[ { "content": "<image>\nQuestion: Given the program flowchart shown in the image, the output number is ______", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by initializing two variables: `i` to 2 and `sum` to 0. Then, it enters a loop. Insi...
[ "cold_start_9k/images/68909.jpg" ]
[ { "content": "<image>\nQuestion: Patrick, an employee at Casey's Convenience Store, looked at the sales of each of its soda products. On Thursday, how much more did the convenience store make from Olde Tyme Cola sales than from Sweet Sips sales?", "role": "user" }, { "content": "<perception>The imag...
[ "cold_start_9k/images/68916.jpg" ]