messages listlengths 2 2 | images listlengths 1 1 |
|---|---|
[
{
"content": "<image>\nQuestion: What is the average number of coconut bars per tray for 2 trays?",
"role": "user"
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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 firs... | [
"cold_start_9k/images/42906.jpg"
] |
[
{
"content": "<image>\nQuestion: Let ___▲____",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function f(x) defined as follows:\n- f(x) = 2e^(x-1) if x < 2\n- f(x) = log3(x^2 - 1) if x >= 2\n\nThe question asks to find the value of f(f(2)).</perception>\n<reasoning>First, w... | [
"cold_start_9k/images/42913.jpg"
] |
[
{
"content": "<image>\nQuestion: __________;",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression. It is a summation from i=1 to n of (x_i - x̄), where x̄ represents the mean of the x_i values. </perception>\n<reasoning>The question is asking for the value of the s... | [
"cold_start_9k/images/42922.jpg"
] |
[
{
"content": "<image>\nQuestion: _",
"role": "user"
},
{
"content": "<perception>The image contains a mathematical problem. The problem states that the function f(x) is an odd function and the period of f(3x+1) is 3. Also, f(1) = -1. The question asks to find the value of f(2006). </perception>\n<re... | [
"cold_start_9k/images/42923.jpg"
] |
[
{
"content": "<image>\nQuestion: Have you ever watched a robot competition? In the World Robot Competition held in San Francisco, USA, robots playing soccer is certainly a highlight. As shown in the , ∠AOB=90°, OA=45cm, OB=15cm. A robot at point B sees a ball starting from point A moving uniformly in the direct... | [
"cold_start_9k/images/42932.jpg"
] |
[
{
"content": "<image>\nQuestion: [Problem] As shown in the figure, fold the right triangle ABC (∠C=90°) so that points A and B coincide, creating a crease ED. Then fold along BE such that point C coincides with point D. The measure of ∠A is ______ degrees.",
"role": "user"
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{
"content": "<percepti... | [
"cold_start_9k/images/42933.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image shows two cartoon girls with speech bubbles. The first girl says \"本学期每个学生定了15个作业\" which translates to \"Each student ordered 15 homework assignments this semester\". The second girl says \"我们班46个同学要定多少个作业本?\" ... | [
"cold_start_9k/images/42944.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money is needed to buy a broom and a hammer?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are: watering can ($19.85), hammer ($18.90), shovel ($10.56), wrench ($12.98), lawn mower ($34.11), and bro... | [
"cold_start_9k/images/42953.jpg"
] |
[
{
"content": "<image>\nQuestion: , then f(2010) = __ _________ .",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function definition.\nf(x) = log2(1-x) when x <= 0\nf(x) = f(x-1) + 1 when x > 0\nWe need to find the value of f(2010). Since 2010 > 0, we can use the second par... | [
"cold_start_9k/images/42957.jpg"
] |
[
{
"content": "<image>\nQuestion: Graphic Calculation.\nCalculate the area of the shaded region in the figure.",
"role": "user"
},
{
"content": "<perception>The image shows a composite shape consisting of a rectangle with a semicircle on top and a semicircle cut out from the bottom. The rectangle has... | [
"cold_start_9k/images/42976.jpg"
] |
[
{
"content": "<image>\nQuestion: On Sunday, what was the difference in sales between Krazy Kola and Kickin' Coffee at Cline's Convenience Store, according to Gabe's analysis?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Convenience store beverage sales\". The table has... | [
"cold_start_9k/images/42983.jpg"
] |
[
{
"content": "<image>\nQuestion: =__.",
"role": "user"
},
{
"content": "<perception>The image contains a mathematical expression: lg4 + 21g5 + 8^(2/3). The 'lg' likely represents the base-10 logarithm. The expression involves logarithms and exponentiation. </perception>\n<reasoning>The expression is... | [
"cold_start_9k/images/42984.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, AD intersects BC at point O, and AB is parallel to CD. If ∠B = 30° and ∠D = 60°, then ∠BOD is ___ degrees.",
"role": "user"
},
{
"content": "<perception>The image shows two lines AD and BC intersecting at point O. Line segment AB is above the ... | [
"cold_start_9k/images/42999.jpg"
] |
[
{
"content": "<image>\nQuestion: Write a system of linear equations and solve the application problem . \nTo respond to the \"Football in Schools\" initiative, our school has started a morning exercise program, and Teacher Wang has bought a batch of footballs for the school's football team. It is known that pur... | [
"cold_start_9k/images/43001.jpg"
] |
[
{
"content": "<image>\nQuestion: Based on the table, what was the rate of change between 2010 and 2011?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Weight of winning dog at a dog show\". The table has two columns: \"Year\" and \"Weight (kg)\". The rows show the year a... | [
"cold_start_9k/images/43028.jpg"
] |
[
{
"content": "<image>\nQuestion: In a basket, there are 58 apples. If each basket holds 5 apples, how many baskets are needed to hold all the apples?",
"role": "user"
},
{
"content": "<perception>The image shows two baskets of apples. The first basket is large and full of apples. The second basket i... | [
"cold_start_9k/images/43034.jpg"
] |
[
{
"content": "<image>\nQuestion: The 20 kilograms of honey contains approximately ______ kilograms of sugar.",
"role": "user"
},
{
"content": "<perception>The image shows a girl pointing to a jar of honey and saying that the sugar content in honey accounts for about 3/4. A boy is sitting at a table ... | [
"cold_start_9k/images/43045.jpg"
] |
[
{
"content": "<image>\nQuestion: :\n\nOperate on square diagram $$1$$ as follows: \n1st time: Connect the midpoints of each side as shown in diagram $$2$$, resulting in $$5$$ squares; \n2nd time: Divide the top-left square of diagram $$2$$ in the same way as shown in diagram $$3$$, resulting in $$9$$ squares, a... | [
"cold_start_9k/images/43052.jpg"
] |
[
{
"content": "<image>\nQuestion: Each time two ropes are tied together (as shown in the diagram), using 12 ropes to form a circle like this, a total of ____ knots will be made.",
"role": "user"
},
{
"content": "<perception>The image shows a horizontal line with three vertical lines intersecting it. ... | [
"cold_start_9k/images/43053.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the flowchart as shown in the figure, and the output \\textit{A} is _________________",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). Then, A is initialized to 1 and k is initialized to 1. T... | [
"cold_start_9k/images/43078.jpg"
] |
[
{
"content": "<image>\nQuestion: A rectangular prism wooden beam of 2.4 meters in length is cut into five segments (as shown in the image). The surface area increases by 96 square centimeters. What was the original volume of the wooden beam in cubic centimeters?",
"role": "user"
},
{
"content": "<pe... | [
"cold_start_9k/images/43096.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, point $$E$$ lies on side $$AD$$ of parallelogram $$ABCD$$. By folding along $$BE$$, point $$A$$ falls on point $$F$$ on side $$CD$$. If the perimeter of $$\\triangle FDE$$ is $$8$$, and the perimeter of $$\\triangle FCB$$ is $$22$$, find the length of $$F... | [
"cold_start_9k/images/43097.jpg"
] |
[
{
"content": "<image>\nQuestion: The distance between points A and B on a map of China, measured as , is 15 cm. What is the actual distance between points A and B in kilometers?",
"role": "user"
},
{
"content": "<perception>The image shows a scale for a map. The scale is a line segment divided into ... | [
"cold_start_9k/images/43100.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image shows a boy holding a stack of books and a girl standing next to him. The boy says, \"There are 38 books in total.\" The girl says, \"Give 8 books to Class 1, how many books are left?\" Below the image is a math... | [
"cold_start_9k/images/43119.jpg"
] |
[
{
"content": "<image>\nQuestion: Given =________;",
"role": "user"
},
{
"content": "<perception>The image contains a mathematical expression. The expression is f(x) = x² + 3xf'(1), and the question asks to find the value of f'(2). </perception>\n<reasoning>Let's analyze the given equation: f(x) = x²... | [
"cold_start_9k/images/43149.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart shown in the image. If the input value $$x=6$$ is $$6$$, then the output value of $$x$$ is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts by taking an input value x. The... | [
"cold_start_9k/images/43163.jpg"
] |
[
{
"content": "<image>\nQuestion: On a map, there is a line segment scale . The measured distance from Ningbo to Shanghai on this map is 12 centimeters. The actual distance from Ningbo to Shanghai is ____ kilometers.",
"role": "user"
},
{
"content": "<perception>The image shows a line segment scale. ... | [
"cold_start_9k/images/43190.jpg"
] |
[
{
"content": "<image>\nQuestion: The value of S output by the flowchart shown in the figure is ___ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then initializes i=1 and S=1. The next step is i = i+1, followed by S = 2(S+1). Then th... | [
"cold_start_9k/images/43201.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the set M = {-1, 1}, , then M ∩ N = ________.",
"role": "user"
},
{
"content": "<perception>The image shows the set N defined as N = {x | 1/2 < 2^(x+1) < 4, x ∈ Z}, where Z represents the set of integers. We need to find the integers x that satisfy the inequali... | [
"cold_start_9k/images/43207.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the minimum value of is _______.",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical problem. The problem states that x > 0 and y > 0, and 9x + y = xy. The question asks to find the minimum value of x + y.</perception>\n<reasoning... | [
"cold_start_9k/images/43225.jpg"
] |
[
{
"content": "<image>\nQuestion: When μ=0 and σ=1, the normal curve is , we call it the standard normal curve, and define Φ(x_{})=P(x), thus we get Φ(0)=___ .",
"role": "user"
},
{
"content": "<perception>The image shows the function f(x) = (1/√(2π)) * e^(-x²/2), x ∈ R. This is the probability densi... | [
"cold_start_9k/images/43228.jpg"
] |
[
{
"content": "<image>\nQuestion: Due to the situation in Iran at the beginning of 2012, the international oil prices have surged recently. To reduce the operational costs of taxis, a taxi company in Changchun City has converted some of its taxis from using gasoline to using liquefied gas. It is known that the g... | [
"cold_start_9k/images/43236.jpg"
] |
[
{
"content": "<image>\nQuestion: __ __.",
"role": "user"
},
{
"content": "<perception>The image shows the expression \"lg 8 + 3 lg 5 =\". The \"lg\" likely represents the base-10 logarithm. The expression needs to be simplified. </perception>\n<reasoning>The expression is lg 8 + 3 lg 5.\nUsing logar... | [
"cold_start_9k/images/43242.jpg"
] |
[
{
"content": "<image>\nQuestion: The complex number ___________.",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: Z = ((1+i)/(1-i))^100 =. The expression involves complex numbers and exponentiation. The goal is to simplify the expression and determine the valu... | [
"cold_start_9k/images/43248.jpg"
] |
[
{
"content": "<image>\nQuestion: According to the problem, a tiger needs to eat ______ kilograms of meat in 45 days.",
"role": "user"
},
{
"content": "<perception>The image shows two cartoon animals, a tiger and a dog. The tiger is thinking \"I eat 5 kilograms of meat every day\". The dog is asking ... | [
"cold_start_9k/images/43257.jpg"
] |
[
{
"content": "<image>\nQuestion: If \\( a \\) and \\( b \\) are opposite numbers, \\( c \\) and \\( d \\) are reciprocals, and the absolute value of \\( m \\) is 2, then the value of the algebraic expression is (_ ).",
"role": "user"
},
{
"content": "<perception>The image shows the algebraic expres... | [
"cold_start_9k/images/43262.jpg"
] |
[
{
"content": "<image>\nQuestion: Running the program flowchart shown in the figure, the output value of \\(S\\) is equal to _______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts with initializing two variables: S = 0 and n = 1. Then, it ... | [
"cold_start_9k/images/43270.jpg"
] |
[
{
"content": "<image>\nQuestion: According to the program shown in the figure, calculate the output y when the input x is -3.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart takes an input x, and then branches into two different calculations depending on the ... | [
"cold_start_9k/images/43275.jpg"
] |
[
{
"content": "<image>\nQuestion: In the right trapezoid ABCD, AB = AD, ∠A = 90°, ∠C = 45°, triangle ABD is folded along BD such that plane ABD is perpendicular to the base BCD, forming a triangular pyramid A-BCD. In this triangular pyramid, the number of pairs of faces that are perpendicular to each other is __... | [
"cold_start_9k/images/43282.jpg"
] |
[
{
"content": "<image>\nQuestion: Each pizza place has 10 booths. How many booths are in 4 pizza places?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of pizza places\" and the second column is labeled \"Number of booths\". T... | [
"cold_start_9k/images/43283.jpg"
] |
[
{
"content": "<image>\nQuestion: The ratio of the number of students in the first, second, and third grades of a certain school is . Using stratified sampling to select a sample of 50 students from the high school, how many students should be selected from the first grade?",
"role": "user"
},
{
"con... | [
"cold_start_9k/images/43285.jpg"
] |
[
{
"content": "<image>\nQuestion: If is a right trapezoid, where angle 2 = 75°, angle 1 is ____°.",
"role": "user"
},
{
"content": "<perception>The image shows a right trapezoid. Angle 1 is an obtuse angle, and angle 2 is an acute angle labeled as 75 degrees. The trapezoid has one right angle on the... | [
"cold_start_9k/images/43319.jpg"
] |
[
{
"content": "<image>\nQuestion: Write down the result of the program running ____________.",
"role": "user"
},
{
"content": "<perception>The image shows a simple program written in a basic programming language. The program initializes two variables, A and B, to 11 and 22 respectively. It then updat... | [
"cold_start_9k/images/43320.jpg"
] |
[
{
"content": "<image>\nQuestion: =___________",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: lg 25 + lg 2 * lg 50 + (lg 2)^2. The expression involves common logarithms (base 10). </perception> <reasoning>Let's analyze the expression: lg 25 + lg 2 * lg 50 + (... | [
"cold_start_9k/images/43322.jpg"
] |
[
{
"content": "<image>\nQuestion: The result of the program shown in the figure is ___ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing two variables, S and n, to 0. Then, it enters a loop. Inside the loop, S is updated by ... | [
"cold_start_9k/images/43323.jpg"
] |
[
{
"content": "<image>\nQuestion: For 'nursing homes in your area', how many responses are positive?",
"role": "user"
},
{
"content": "<perception>The image is a graphic from the Pew Research Center presenting survey results about Americans' confidence in healthcare facilities to handle the medical n... | [
"cold_start_9k/images/43337.jpg"
] |
[
{
"content": "<image>\nQuestion: The image shows a production chart of a workshop from January to December, with the month denoted as n. The production from January to May each month is 20 + an, and the production from June to December each month is bn - 2. Then ab equals ____.",
"role": "user"
},
{
... | [
"cold_start_9k/images/43352.jpg"
] |
[
{
"content": "<image>\nQuestion: If someone buys 9/10 of a pound of green bell peppers, how much will they spend?",
"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- red be... | [
"cold_start_9k/images/43367.jpg"
] |
[
{
"content": "<image>\nQuestion: If the program flowchart on the right is executed, then the output S = ___________.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts by initializing S to 0 and i to 3. Then, it enters a loop. Inside the loop,... | [
"cold_start_9k/images/43378.jpg"
] |
[
{
"content": "<image>\nQuestion: [Question] Execute the program flowchart on the right, the input T = __________.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with initialization: S=0, T=0, n=0. Then it enters a loop. The loop condition is T>S. Insi... | [
"cold_start_9k/images/43392.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Gabby need to buy 6 red sweaters?",
"role": "user"
},
{
"content": "<perception>The image shows a list of clothing items and their prices. The items are: pair of boots ($26.86), pair of jeans ($24.01), pair of sandals ($17.43), pair of shorts ($16... | [
"cold_start_9k/images/43393.jpg"
] |
[
{
"content": "<image>\nQuestion: Based on Nolan's recorded lunch expenses, what was the difference in spending between Wednesday and Thursday?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Amount Nolan spent on lunch\". The table has two columns: \"Day\" and \"Amount sp... | [
"cold_start_9k/images/43394.jpg"
] |
[
{
"content": "<image>\nQuestion: _",
"role": "user"
},
{
"content": "<perception>The image shows an algebraic expression: 4a^2 + 2(3ab - 2a^2) - (6ab - 1). It is an expression that needs to be simplified. </perception> <reasoning>The question is not provided, but the image contains an algebraic expr... | [
"cold_start_9k/images/43405.jpg"
] |
[
{
"content": "<image>\nQuestion: [2013·Hubei College Entrance Examination] Read the program flowchart shown in the figure, and run the corresponding program. If the input value of m is 2, then the output result i=________.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of ... | [
"cold_start_9k/images/43410.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the image, the central angle of sector OAB is 120° and the radius is 6 cm.\n\n(1) Please use a ruler and compass to draw the axis of symmetry for this sector (keep the construction marks, do not write the method);\n(2) If this sector is rolled up to form the lateral ... | [
"cold_start_9k/images/43422.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, two squares with side lengths of 4 cm are combined to form a rectangle. The perimeter of this rectangle is cm.",
"role": "user"
},
{
"content": "<perception>The image shows a rectangle composed of two identical squares. Each square has a side ... | [
"cold_start_9k/images/43429.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total amount of money that Janelle needs to purchase 6 red thumbtacks and 4 light bulbs?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are: spool of gold wire ($0.51), roll of electrical tape ($0... | [
"cold_start_9k/images/43442.jpg"
] |
[
{
"content": "<image>\nQuestion: In a survey of several households in a certain area, the annual income \\( x \\) (in ten thousand yuan) and the annual food expenditure \\( y \\) (in ten thousand yuan) were investigated. The survey shows that the annual income \\( x \\) and the annual food expenditure \\( y \\)... | [
"cold_start_9k/images/43446.jpg"
] |
[
{
"content": "<image>\nQuestion: (Autumn 2012, Chengdu final exam) The following stem-and-leaf plot shows the test scores of 7 students each from Group A and Group B in a certain class. The sum of the medians of the scores of Group A and Group B is ____.",
"role": "user"
},
{
"content": "<perception... | [
"cold_start_9k/images/43465.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the graph of the power function passes through the point (2,4), then k + a = _________.",
"role": "user"
},
{
"content": "<perception>The image shows the equation f(x) = kx^a. This represents a power function where k and a are constants. The problem state... | [
"cold_start_9k/images/43468.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, if one item is removed from the left side of the balance scale, how many weights should be removed from the right side to keep the balance scale even?",
"role": "user"
},
{
"content": "<perception>The image shows two balance scales. The first ... | [
"cold_start_9k/images/43469.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the three views of a certain geometric body as shown in the figure, then the volume of this geometric body is ______",
"role": "user"
},
{
"content": "<perception>The image shows three views of a geometric solid: a front view, a side view, and a top view. The f... | [
"cold_start_9k/images/43473.jpg"
] |
[
{
"content": "<image>\nQuestion: (2010 • Zhengzhou Simulation) As shown in the figure, AB ∥ CD, AC ⊥ BC, with C being the foot of the perpendicular, and ∠BAC = 67°, then ∠BCD = ____ degrees.",
"role": "user"
},
{
"content": "<perception>The image shows two parallel lines AB and CD. A line segment AC... | [
"cold_start_9k/images/43477.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in the quadrilateral $$ABCD$$, connect $$AC$$ and $$BD$$, and $$AC$$ intersects $$BD$$ at point $$E.$$ If $$AD \\parallel BC$$, $$BD \\perp AD$$, $$2DE = BE$$, and $$\\sqrt{3}AD = BD$$, then the degree measure of $$∠BAC + ∠BCA$$ is ______.",
"role": "... | [
"cold_start_9k/images/43496.jpg"
] |
[
{
"content": "<image>\nQuestion: Here's the math problem translated into English, retaining the placeholder:\n\nThe floor plan of a house is shown in the figure below (unit: meters). Can you calculate the total area of this house in square meters?",
"role": "user"
},
{
"content": "<perception>The i... | [
"cold_start_9k/images/43508.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart as shown in the image, and if the output value of \\( x \\) is 23, then the input value of \\( x \\) is \\textit{}.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then \"In... | [
"cold_start_9k/images/43518.jpg"
] |
[
{
"content": "<image>\nQuestion: How many different ways are there to travel from the school to Xiaogang's home via the Youth Palace?",
"role": "user"
},
{
"content": "<perception>The image shows a diagram representing paths between three locations: School, Youth Palace, and Xiaogang's home. There a... | [
"cold_start_9k/images/43524.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the minimum score among the state test scores reported by Principal Castro for the students at his school?",
"role": "user"
},
{
"content": "<perception>The image shows a stem and leaf plot titled \"Test scores\". The stem represents the tens digit and the le... | [
"cold_start_9k/images/43535.jpg"
] |
[
{
"content": "<image>\nQuestion: To ensure secure information transmission, there is a system called the secret key cipher system. The principles of encryption and decryption are shown in the following diagram:\n\nNow the encryption key is \\( y = \\log_{a}(x+2) \\). As shown, the plaintext \"6\" is encrypted t... | [
"cold_start_9k/images/43536.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 \"Start\". Then, it initializes two variables: a = 5 and s = 1. There is a loop. Inside the loop,... | [
"cold_start_9k/images/43558.jpg"
] |
[
{
"content": "<image>\nQuestion: Find the value of x in the following equation: _=-2",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression. It is a cube root of (x-2). The expression is written as follows: cube root of (x-2). The cube root symbol has a small \"3\" a... | [
"cold_start_9k/images/43562.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart as shown in the image, and the output value of T is (__)",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts with initializing two variables: T = 0 and i = 1. Then, it enters a loop... | [
"cold_start_9k/images/43564.jpg"
] |
[
{
"content": "<image>\nQuestion: How many mushrooms did the little gray rabbit pick?",
"role": "user"
},
{
"content": "<perception>The image shows two rabbits, a white rabbit and a gray rabbit, and some mushrooms. The white rabbit says \"I picked 8 mushrooms\". The gray rabbit says \"The mushrooms I... | [
"cold_start_9k/images/43581.jpg"
] |
[
{
"content": "<image>\nQuestion: (2009 Tongzhou Research Six) As shown in the figure, the output result after the program is executed is ____________.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts by initializing two variables, P and I, to... | [
"cold_start_9k/images/43589.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the , in the right-angled triangle $$Rt\\triangle ABC$$, $$∠C=90^{\\circ}$$, $$M$$ is the midpoint of $$AB$$, $$MH⊥BC$$ with the foot of the perpendicular being point $$H$$, $$CM$$ intersects with $$AH$$ at point $$O$$. If $$AB=12$$, then $$CO=$$ ______ .",
"role... | [
"cold_start_9k/images/43605.jpg"
] |
[
{
"content": "<image>\nQuestion: (2012 Autumn • Chuxiong City School Level Final Exam) Known from the figure , M, N divide the line segment AB into three equal parts, C is the midpoint of NB, and CN=5cm, then AB=____cm.",
"role": "user"
},
{
"content": "<perception>The image shows a line segment AB.... | [
"cold_start_9k/images/43616.jpg"
] |
[
{
"content": "<image>\nQuestion: A parallelogram-shaped lychee orchard has a measured base of 240 meters and a height of 40 meters. If one lychee tree is planted every 4 square meters, how many lychee trees can be planted in the entire orchard?",
"role": "user"
},
{
"content": "<perception>The image... | [
"cold_start_9k/images/43617.jpg"
] |
[
{
"content": "<image>\nQuestion: _______ \nThe red panda has already eaten 8, how many are left?",
"role": "user"
},
{
"content": "<perception>The image shows a basket of apples. The basket has a label that says \"共 43 个\", which means \"total 43\". The question asks how many apples are left if the ... | [
"cold_start_9k/images/43618.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 wit... | [
"cold_start_9k/images/43632.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a rectangular cardboard with a length of 10 cm and a width of 8 cm is cut around each side to remove identical squares, and then folded into an open rectangular box. To make the base area of the rectangular box 48 cm², what is the side length of the squar... | [
"cold_start_9k/images/43652.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the image, Xiao Zhang uses a rectangular piece of paper ABCD with damaged left and right sides to play an origami game. He folds the paper along EF, and points D and C fall at positions D' and C' respectively. Using a protractor, he measures ∠EFB as 65°. What is the ... | [
"cold_start_9k/images/43659.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the statistical chart of the temperature at six specific hours in Hangzhou on a certain day, the median temperature at these six hours is ____℃.",
"role": "user"
},
{
"content": "<perception>The image is a line graph showing the temperature in Hangzhou at six d... | [
"cold_start_9k/images/43662.jpg"
] |
[
{
"content": "<image>\nQuestion: We call the numbers 1, 3, 6, 10, 15, ... triangular numbers because these numbers of points can form an equilateral triangle (as shown in the figure) .\nThe seventh triangular number is ( _ ).",
"role": "user"
},
{
"content": "<perception>The image shows a sequence o... | [
"cold_start_9k/images/43664.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, points A, B, O, C, and D on the number line represent -5, -1.5, 0, 2.5, and 6 respectively. Answer the following questions.\n\n(1) What are the distances between points O and C, and points B and D?\n(2) Can you find the relationship between the distances ... | [
"cold_start_9k/images/43692.jpg"
] |
[
{
"content": "<image>\nQuestion: How many students are participating in the robotics competition? (Solve using an equation)",
"role": "user"
},
{
"content": "<perception>The image shows two groups of students. The first group says, \"They are participating in the 3D printing competition, there are 3... | [
"cold_start_9k/images/43697.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image shows a triangle. The base of the triangle is labeled as 4.5cm. The height of the triangle, from the top vertex to the base, is labeled as 3.6cm.</perception>\n<reasoning>The area of a triangle is calculated by ... | [
"cold_start_9k/images/43713.jpg"
] |
[
{
"content": "<image>\nQuestion: Combine the categories \"More important\" and \"As important as last year\", then divide the total by the category \"Less important\".",
"role": "user"
},
{
"content": "<perception>The image is a pie chart titled \"Importance of 2015 State of Union\". The chart compa... | [
"cold_start_9k/images/43721.jpg"
] |
[
{
"content": "<image>\nQuestion: 【Problem】As shown in Figure 9, the vertices of a regular pentagon are numbered sequentially as 1, 2, 3, 4, and 5. If starting from a certain vertex, one moves along the edges of the pentagon in a clockwise direction, and the number of the vertex determines the number of side len... | [
"cold_start_9k/images/43729.jpg"
] |
[
{
"content": "<image>\nQuestion: The sum of the positive integer solutions of the system of inequalities is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a system of two inequalities enclosed in a curly brace. The first inequality is -2x < 0. The second inequality is 3 - x >... | [
"cold_start_9k/images/43739.jpg"
] |
[
{
"content": "<image>\nQuestion: 330 students are going on a trip in 4 cars. The first 3 cars each carry 82 students.",
"role": "user"
},
{
"content": "<perception>The image shows a cartoon girl with a speech bubble. The text in the speech bubble says \"第4辆车要坐多少个同学？\", which translates to \"How many... | [
"cold_start_9k/images/43744.jpg"
] |
[
{
"content": "<image>\nQuestion: [2013·Hubei College Entrance Exam] Read the program flowchart as shown in the figure and execute the corresponding program. If the input value of m is 2, then the output result i = ________.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart fo... | [
"cold_start_9k/images/43745.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in the isosceles trapezoid ABCD, AD ∽ BC, BD bisects ∠ABC, and ∠A = 120°. If the perimeter of the trapezoid is 10, then the length of AD is ___.",
"role": "user"
},
{
"content": "<perception>The image shows an isosceles trapezoid ABCD, where A... | [
"cold_start_9k/images/43747.jpg"
] |
[
{
"content": "<image>\nQuestion: Given variables \\( x \\) and \\( y \\) satisfy , the maximum value of \\( z = 2x + y \\) is ___________.",
"role": "user"
},
{
"content": "<perception>The image shows a system of inequalities:\nx - 3y + 5 >= 0\n2x - y <= 0\nx > 0, y > 0\nThe question asks to find th... | [
"cold_start_9k/images/43760.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, △ABC is folded along DE. If ∠1 + ∠2 = 80°, then ∠B = ___ degrees.",
"role": "user"
},
{
"content": "<perception>The image shows a geometric figure. There is a triangle ABC. The triangle is folded along the line segment DE, where E is on the li... | [
"cold_start_9k/images/43765.jpg"
] |
[
{
"content": "<image>\nQuestion: The rectangle has a length of 10 cm and a width of 6 cm. If you cut out the largest possible square from it, what is the area of this square in square centimeters?",
"role": "user"
},
{
"content": "<perception>The image shows a rectangle. The length of the rectangle ... | [
"cold_start_9k/images/43770.jpg"
] |
[
{
"content": "<image>\nQuestion: At least how many pigeons will have to fly back to the same dovecote if 10 pigeons fly back to 4 dovecotes?",
"role": "user"
},
{
"content": "<perception>The image shows four birdcages (dovecotes) and a group of ten birds (pigeons) flying above them. The question ask... | [
"cold_start_9k/images/43775.jpg"
] |
[
{
"content": "<image>\nQuestion: To understand the intention of undergraduate students at a certain university regarding participation in a social practice activity, the university plans to use stratified sampling to select a sample of 300 students from the four grades of undergraduates. Given that the ratio of... | [
"cold_start_9k/images/43778.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the program of an algorithm as follows, what is \\( f(-3) + f(2) = \\) ____ .",
"role": "user"
},
{
"content": "<perception>The image shows a program written in pseudocode. The program takes an input x, and then checks if x is less than or equal to 0. If it is,... | [
"cold_start_9k/images/43793.jpg"
] |
[
{
"content": "<image>\nQuestion: To ensure secure information transmission, there is a method known as the Private Key Cryptosystem. The principles of encryption and decryption are illustrated in the following diagram:\n\nNow, the encryption key is given by \\( y = 2x - 1 \\). As shown above, the plaintext \"5\... | [
"cold_start_9k/images/43801.jpg"
] |
[
{
"content": "<image>\nQuestion: The program flowchart (i.e., algorithm flowchart) is shown in the right figure, and its output result is ___ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing a variable 'a' to 1. Then, ther... | [
"cold_start_9k/images/43819.jpg"
] |
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