messages listlengths 2 2 | images listlengths 1 1 |
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[
{
"content": "<image>\nQuestion: Solve the problem.\n\nCounting from the left, the piglet is in the 7th position; counting from the right, the piglet is also in the 7th position. How many animals are there in total in this row (___)?\n\n□○□○□= □",
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{
"content": "<perception>The imag... | [
"cold_start_9k/images/50675.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a mobile ocean observation ship starts at point A, located in the direction of North-East θ (0 < θ < \\(\\dfrac{π}{2}\\)) from lighthouse B, and satisfies the condition \\(2\\sin ^{2}( \\dfrac {π}{4}+θ)- \\sqrt {3}\\cos 2θ=1\\), with \\(AB=AD\\). After re... | [
"cold_start_9k/images/50682.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a park has designed a festival flower arrangement plan, where one flower bed is made up of a stack of flower pots in a hexagonal formation. The top layer has one pot, and each subsequent layer forms a regular hexagon with one more pot per side than the pr... | [
"cold_start_9k/images/50686.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in the rectangular prism ABCD-A₁B₁C₁D₁, AD=1. If there is exactly one point P on edge AB such that D₁P ⊥ PC, then AB=___.",
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{
"content": "<perception>The image shows a rectangular prism ABCD-A₁B₁C₁D₁. The base ABCD is a recta... | [
"cold_start_9k/images/50687.jpg"
] |
[
{
"content": "<image>\nQuestion: How many trains depart from Danville after 5:00 P.M.?",
"role": "user"
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{
"content": "<perception>The image is a table titled \"Train schedule\". The table has 5 rows and 3 columns. The rows represent the train stations: Sparrowtown, Danville, Princeton, Westminste... | [
"cold_start_9k/images/50690.jpg"
] |
[
{
"content": "<image>\nQuestion: Formulation: -------------------------\nAnswer: The computer is ____ yuan cheaper than before.",
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{
"content": "<perception>The image shows a computer and a girl asking a question. There is a text box that shows the original price of the computer is ... | [
"cold_start_9k/images/50691.jpg"
] |
[
{
"content": "<image>\nQuestion: :\n\nAs shown in the figure, the evening newspaper's \"Citizen Hotline\" received hotline calls within a week, among which 70 calls were related to environmental protection issues, the highest number. How many fewer calls were there regarding road traffic issues compared to envi... | [
"cold_start_9k/images/50712.jpg"
] |
[
{
"content": "<image>\nQuestion: What percentage of individuals are at least somewhat confident that Mike Pence did a good job?",
"role": "user"
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{
"content": "<perception>The image is a bar graph from the Pew Research Center showing public confidence in how CDC, state, and local officials are res... | [
"cold_start_9k/images/50714.jpg"
] |
[
{
"content": "<image>\nQuestion: 【Question】In response to the Hangzhou Municipal Government's initiative of \"civilized travel, low-carbon life\", a certain school organized an electronic newsletter-making competition with the theme \"civilized travel, start with me\". The scoring results are only of five types... | [
"cold_start_9k/images/50720.jpg"
] |
[
{
"content": "<image>\nQuestion: For a function defined on R, the equation f(x) = c (where c is a constant) has exactly three distinct real roots \\(x_{1}, x_{2}, x_{3}\\). Then \\(x_{1} + x_{2} + x_{3} = ___ \\).",
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{
"content": "<perception>The image shows a piecewise function de... | [
"cold_start_9k/images/50727.jpg"
] |
[
{
"content": "<image>\nQuestion: If the complex number is a real number (i is the imaginary unit), then the value of the real number a is (____ )",
"role": "user"
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{
"content": "<perception>The image shows the expression (1-i)(a+i). This represents the product of two complex numbers, where 'a' is... | [
"cold_start_9k/images/50756.jpg"
] |
[
{
"content": "<image>\nQuestion: The flowchart of a certain program is shown in the figure. When the output value y is -8, the output value x is ____",
"role": "user"
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{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing variables x=1, y=0, and n... | [
"cold_start_9k/images/50758.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Hanson need to buy a pecan pie and 2 chocolate cheesecakes?",
"role": "user"
},
{
"content": "<perception>The image shows a menu with prices for different desserts. The chocolate cheesecake costs $29.00, the pear tart costs $15.00, the pecan pie c... | [
"cold_start_9k/images/50785.jpg"
] |
[
{
"content": "<image>\nQuestion: Given , then (a+b)^{2011}=___ .",
"role": "user"
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{
"content": "<perception>\nThe image shows the equation |a+2| + sqrt(3-b) = 0. The equation contains an absolute value term and a square root term, both of which are non-negative. The sum of two non-negative terms ... | [
"cold_start_9k/images/50794.jpg"
] |
[
{
"content": "<image>\nQuestion: In the operations program shown in the figure, if the initial input value of x is 48, we find that the result of the 1st output is 24, the result of the 2nd output is 12, the result of the 3rd output is 6, ..., the result of the 2013th output is ____.",
"role": "user"
},
... | [
"cold_start_9k/images/50795.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function \\( f(x) = \\), then \\( f(f(\\pi)) = ___ \\).",
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{
"content": "<perception>The image shows a piecewise function definition. The function f(x) is defined as follows:\n- f(x) = 1 if x is a rational number.\n- f(x) = 0 if x is an ir... | [
"cold_start_9k/images/50798.jpg"
] |
[
{
"content": "<image>\nQuestion: The following figures are a series of shapes formed by some matchsticks. For example, the first figure is composed of 4 matchsticks, the second figure is composed of 7 matchsticks, and the third figure is composed of 10 matchsticks. Following this pattern, the number of matchsti... | [
"cold_start_9k/images/50813.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Abby need to buy a piece of smoky quartz and a pumice stone?",
"role": "user"
},
{
"content": "<perception>The image shows a list of rocks and their prices. The list includes: orange agate ($0.77), pumice stone ($0.18), piece of red sandstone ($0.... | [
"cold_start_9k/images/50823.jpg"
] |
[
{
"content": "<image>\nQuestion: The image shows the process of Teacher Wang downloading a file on the computer. The computer indicates that it will take a total of 25 minutes to download the file. How many more minutes does Teacher Wang have to wait to finish downloading the file?",
"role": "user"
},
{... | [
"cold_start_9k/images/50833.jpg"
] |
[
{
"content": "<image>\nQuestion: How many different ways can a cat, a turtle, and a frog line up to attend the animal sports meet?",
"role": "user"
},
{
"content": "<perception>The image shows three cartoon animals: a cat, a turtle, and a frog. Each animal is holding a blank flag. The cat is wearing... | [
"cold_start_9k/images/50844.jpg"
] |
[
{
"content": "<image>\nQuestion: The shows the figures seen from three different directions of a geometric solid.\n$$(1)$$ State the name of this geometric solid;\n$$(2)$$ Calculate the surface area of the solid based on the related data provided in the figure.",
"role": "user"
},
{
"content": "<pe... | [
"cold_start_9k/images/50849.jpg"
] |
[
{
"content": "<image>\nQuestion: The maximum value of the variables x and y is _ ____. _",
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{
"content": "<perception>The image shows a system of inequalities:\ny ≤ x\nx + y ≥ 2\ny ≥ 3x - 6\nand the expression z = 2x + y. The question asks for the maximum value of z. This is a linea... | [
"cold_start_9k/images/50875.jpg"
] |
[
{
"content": "<image>\nQuestion: _Suppose the coordinates of point M(\\textit{x},\\textit{y}) satisfy the system of inequalities . Point (\\textit{m},\\textit{n}) is located within the plane region where point M(\\textit{x},\\textit{y}) lies. If the area of the plane region where point N(\\textit{m}+\\textit{n}... | [
"cold_start_9k/images/50882.jpg"
] |
[
{
"content": "<image>\nQuestion: How many trips are required at least?",
"role": "user"
},
{
"content": "<perception>The image shows a farmer driving a small tractor with a trailer. The text above the tractor says \"一次最多运8袋\", which translates to \"can transport at most 8 bags at a time\". There is ... | [
"cold_start_9k/images/50895.jpg"
] |
[
{
"content": "<image>\nQuestion: If someone buys 2+1/2 pounds of mulch, how much will they spend?",
"role": "user"
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{
"content": "<perception>The image shows a list of items and their prices per pound. Sawdust costs $5/lb, mulch costs $4/lb, sand costs $4/lb, and dirt costs $4/lb.</perception>\n<r... | [
"cold_start_9k/images/50919.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the focus of a parabola is F, and point P is on the parabola with an x-coordinate of 4, then |PF| equals ______.",
"role": "user"
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{
"content": "<perception>The image shows the equation of a parabola: y^2 = 8x.\n</perception> <reasoning>The equation of ... | [
"cold_start_9k/images/50922.jpg"
] |
[
{
"content": "<image>\nQuestion: Based on Hakim's lunch expenses recorded in the table, what was the difference in spending between Thursday and Friday?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Amount Hakim spent on lunch\". The table has two columns: \"Day\" and \... | [
"cold_start_9k/images/50923.jpg"
] |
[
{
"content": "<image>\nQuestion: (2013 Autumn • Bijie region school-level end-of-term) As shown in the figure, C and D are two points on the line segment AB. If CB = 4 cm, DB = 7 cm, and D is the midpoint of AC, then the length of the line segment AB is ____.",
"role": "user"
},
{
"content": "<perce... | [
"cold_start_9k/images/50932.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, lines a and b are intersected by line c, and a∥b. If ∠1=118°, find the measure of ∠2.",
"role": "user"
},
{
"content": "<perception>The image shows two parallel lines, a and b, intersected by a transversal line c. Angle 1 is marked as 118 degr... | [
"cold_start_9k/images/50951.jpg"
] |
[
{
"content": "<image>\nQuestion: A white rabbit weighs 6 kilograms, a chick weighs ____ kilograms",
"role": "user"
},
{
"content": "<perception>The image shows two balanced scales. The first scale has a rabbit on one side and two ducks on the other side. The second scale has one duck on one side and... | [
"cold_start_9k/images/50955.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Austin need to buy a piece of bubble wrap and a deer postcard?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are: deer postcard ($0.44), butterfly stamp ($0.35), tulip stamp ($0.32), and ... | [
"cold_start_9k/images/50960.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the side lengths of △ABC are AB=7, BC=5, and CA=6, the value of is (___).",
"role": "user"
},
{
"content": "<perception>The image shows the expression \"AB vector . BC vector\", where AB and BC are vectors. This represents the dot product of the vectors A... | [
"cold_start_9k/images/50963.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Roy need to buy an African safari vacation package and a Jamaican vacation package?",
"role": "user"
},
{
"content": "<perception>The image shows a list of vacation packages and their prices. The Hawaiian vacation package costs $9,436.00. The Afri... | [
"cold_start_9k/images/50965.jpg"
] |
[
{
"content": "<image>\nQuestion: Read the flowchart, and its output result is ______",
"role": "user"
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{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). Then, the variable x is assigned the value 2. Next, the variable y is assigned the value 2x+1. The... | [
"cold_start_9k/images/50973.jpg"
] |
[
{
"content": "<image>\nQuestion: The length of a rectangular prism is 15 decimeters, the width is 6 decimeters, and the height is 5 decimeters. What is its surface area in square decimeters?",
"role": "user"
},
{
"content": "<perception>The image shows a rectangular prism. It is a 3D shape with six ... | [
"cold_start_9k/images/50981.jpg"
] |
[
{
"content": "<image>\nQuestion: The permanent ship lock of the Three Gorges is 38.5 meters high, which is 0.7 meters more than 27 times Xiao Jie’s height. How tall is Xiao Jie in meters?",
"role": "user"
},
{
"content": "<perception>The image shows a dam with multiple spillways. The dam appears to ... | [
"cold_start_9k/images/50982.jpg"
] |
[
{
"content": "<image>\nQuestion: (2011 Autumn • Futian District School-Level Monthly Exam) According to the operation of the program flowchart shown in the figure, if the input is x=8, then the output is k=____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart... | [
"cold_start_9k/images/50986.jpg"
] |
[
{
"content": "<image>\nQuestion: __ ▲___ ._",
"role": "user"
},
{
"content": "<perception>The image shows the mathematical expression \"lg 2 + lg 50 =\". The \"lg\" represents the base-10 logarithm. The expression asks to evaluate the sum of the base-10 logarithm of 2 and the base-10 logarithm of 50... | [
"cold_start_9k/images/50991.jpg"
] |
[
{
"content": "<image>\nQuestion: A company decides to purchase a total of 200 units of product A from three factories, Factory A, Factory B, and Factory C, according to the proportions shown in the figure. The number of units of product A that the company will purchase from Factory C is ____.",
"role": "use... | [
"cold_start_9k/images/50996.jpg"
] |
[
{
"content": "<image>\nQuestion: The inverse function of is symmetric about the point (2,1), then \\( a = (___) \\).",
"role": "user"
},
{
"content": "<perception>The image shows the equation y = (2x)/(x-a). The question asks to find the value of 'a' given that the inverse function is symmetric abo... | [
"cold_start_9k/images/51004.jpg"
] |
[
{
"content": "<image>\nQuestion: According to the pattern shown in the image, the 2011th pattern is the same as the one of the 1st to 4th patterns ____(only fill in the number).",
"role": "user"
},
{
"content": "<perception>The image shows a sequence of six diagrams. Each diagram contains a circle w... | [
"cold_start_9k/images/51005.jpg"
] |
[
{
"content": "<image>\nQuestion: (__ )+(__ )+(__ )=(__ ) yuan________________",
"role": "user"
},
{
"content": "<perception>The image shows three Chinese Yuan banknotes. From left to right, the first banknote is a 10 Yuan note, the second is a 5 Yuan note, and the third is a 2 Yuan note. There is a ... | [
"cold_start_9k/images/51015.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, suppose $$1027$$ is the $$m$$-th row and $$n$$-th column of the table, then $$m$$ $$+$$ $$n$$ $$= $$______",
"role": "user"
},
{
"content": "<perception>The image shows a triangular arrangement of odd numbers. The first row has 1 number (1), t... | [
"cold_start_9k/images/51026.jpg"
] |
[
{
"content": "<image>\nQuestion: Calculate the value of _______________.",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: \"lg 2 + lg 2 lg 5 + lg^2 5\". The expression involves logarithms, specifically the common logarithm (base 10), denoted as \"lg\". The ex... | [
"cold_start_9k/images/51043.jpg"
] |
[
{
"content": "<image>\nQuestion: (Optional Geometry Proof Problem) Given that G is the centroid of △ABC, AG intersects BC at E, BG intersects AC at F, and the area of △EFG is 1, then the area of △EFC is _____.",
"role": "user"
},
{
"content": "<perception>The image shows a triangle ABC. Point E is o... | [
"cold_start_9k/images/51047.jpg"
] |
[
{
"content": "<image>\nQuestion: There are 15 bags of bottle caps, among which 14 bags have the same weight, and one bag is lighter. ___\n(1) If you use a balance scale, how many weighings are needed to find it? _\n(2) Can you guarantee to find it in 3 weighings? _\n(3) Please complete the following diagram.",
... | [
"cold_start_9k/images/51051.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the value of is ___________.",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function f(x). For x <= 0, f(x) = log2(1-x). For x > 0, f(x) = f(x-1) - f(x-2). The question asks to find the value of f(3).\n\nTo find f(3), we need to... | [
"cold_start_9k/images/51053.jpg"
] |
[
{
"content": "<image>\nQuestion: When the output result of the program flowchart shown in the figure is 58, the value in processing block ① should be ____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts with an initialization step where S ... | [
"cold_start_9k/images/51056.jpg"
] |
[
{
"content": "<image>\nQuestion: The minimum value of the function is _____________.",
"role": "user"
},
{
"content": "<perception>The image shows the function f(x) = 5x + 20/x^2, where x > 0. The question asks for the minimum value of the function.</perception>\n<reasoning>The function is f(x) = 5... | [
"cold_start_9k/images/51063.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the percentage value of the gray segment?",
"role": "user"
},
{
"content": "<perception>The image is a pie chart titled \"A majority of U.S. adults say climate change is affecting their local community at least some\". The chart shows the percentage of U.S. a... | [
"cold_start_9k/images/51081.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the average number of customers that visited the grocery store per day from Sunday to Wednesday?",
"role": "user"
},
{
"content": "<perception>The image is a table showing the number of customers at a grocery store from Sunday to Wednesday. The table has two ... | [
"cold_start_9k/images/51084.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, point D is on AB, AC and DF intersect at point E, AB ∥ FC, DE = EF, AB = 15, CF = 8. Find the length of BD = ______.",
"role": "user"
},
{
"content": "<perception>The image shows a triangle ABC with a line segment DF intersecting AB at D and A... | [
"cold_start_9k/images/51097.jpg"
] |
[
{
"content": "<image>\nQuestion: Four squares with equal side lengths of 4 cm each contain two triangles. Find the sum of the areas of these two triangles.",
"role": "user"
},
{
"content": "<perception>The image shows four adjacent squares of equal size. The first square is empty. The second square ... | [
"cold_start_9k/images/51100.jpg"
] |
[
{
"content": "<image>\nQuestion: (2011 Autumn • Fengtai District Final) Given |a|=3, the position of the rational number a on the number line is shown in the figure. Then a + 1 = ____.",
"role": "user"
},
{
"content": "<perception>The image shows a number line. The number 0 and 1 are marked on the n... | [
"cold_start_9k/images/51119.jpg"
] |
[
{
"content": "<image>\nQuestion: On a highway, there is a warehouse every 100 km (as shown in the figure), with a total of 5 warehouses. Warehouse No. 1 has 10 tons of goods, Warehouse No. 2 has 20 tons, Warehouse No. 5 has 40 tons, and the remaining two warehouses are empty. Now, the goal is to consolidate all... | [
"cold_start_9k/images/51131.jpg"
] |
[
{
"content": "<image>\nQuestion: In the figure, the perimeter of the square is 32 cm. The area of the parallelogram is ____ cm².",
"role": "user"
},
{
"content": "<perception>The image shows a square and a parallelogram. The square is on the left, and a diagonal line goes from the bottom left corner... | [
"cold_start_9k/images/51134.jpg"
] |
[
{
"content": "<image>\nQuestion: Here is a simple numerical computation program: When the input value x is -1, the output value is (___ )",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart representing a numerical computation program. The program takes an input value 'x', mult... | [
"cold_start_9k/images/51146.jpg"
] |
[
{
"content": "<image>\nQuestion: There are two excavation tasks of equal length channels assigned to Team A and Team B, respectively, to be carried out simultaneously. The following graph shows the relationship between the length of the excavated channel y (in meters) and the excavation time x (in hours). After... | [
"cold_start_9k/images/51163.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a ladder 2.5 meters long is leaning against a vertical wall. At this moment, the bottom of the ladder is 0.7 meters away from the base of the wall. If the top end of the ladder slides down 0.4 meters along the wall, how many meters will the bottom end of ... | [
"cold_start_9k/images/51169.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the image, there are three possible positions for a game piece, identify the opposite face of 1.",
"role": "user"
},
{
"content": "<perception>The image shows three different views of a cube. In the first view, the numbers 1, 2, and 3 are visible. In the ... | [
"cold_start_9k/images/51179.jpg"
] |
[
{
"content": "<image>\nQuestion: It is known that the orthographic projection (unit: cm) of a certain pyramid is as shown in the figure, then the volume of the pyramid is ______ cm³\n___________________________",
"role": "user"
},
{
"content": "<perception>The image shows the three views of a pyrami... | [
"cold_start_9k/images/51182.jpg"
] |
[
{
"content": "<image>\nQuestion: If \\(a \\neq b\\) and \\(ab < 0\\), then: \\(a - b = (_____ )\\).",
"role": "user"
},
{
"content": "<perception>The image shows two equations: |a| = 3 and sqrt(b) = 2. From the first equation, a can be either 3 or -3. From the second equation, b = 4. The problem sta... | [
"cold_start_9k/images/51188.jpg"
] |
[
{
"content": "<image>\nQuestion: (2015•Nansha District First Mock Exam) The position of the real number \\(a\\) on the number line is shown in the figure. Simplify \\(|a-1| + a = ____\\).",
"role": "user"
},
{
"content": "<perception>The image shows a number line. The number line has tick marks at -... | [
"cold_start_9k/images/51202.jpg"
] |
[
{
"content": "<image>\nQuestion: What's the smallest 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 NATO countries who think their co... | [
"cold_start_9k/images/51203.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a car travels from location A to location B. If it travels at 45 kilometers per hour, it will be late by 1 hour compared to the original plan; if it travels at 60 kilometers per hour, it will arrive 1 hour earlier compared to the original plan. What is th... | [
"cold_start_9k/images/51204.jpg"
] |
[
{
"content": "<image>\nQuestion: (5 points) Given the function , if f(f(0)) = 4a, then the real number a = _____ .",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = 2^(x+1) if x < 1\nf(x) = x^2 + ax if x >= 1\nThe problem states that f(f(0... | [
"cold_start_9k/images/51210.jpg"
] |
[
{
"content": "<image>\nQuestion: In an \\( n \\times n \\) grid, denote the number located in the \\( i \\)-th row and \\( j \\)-th column as \\( a_{ij} \\) ( \\( i, j = 1, 2, \\ldots, n \\) ). When \\( n = 9 \\), \\( a_{11} + a_{22} + a_{33} + \\ldots + a_{99} = (____) \\).",
"role": "user"
},
{
"c... | [
"cold_start_9k/images/51228.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, there are two semicircular pools in the square, each with a perimeter of 102.8 meters. What is the total area of these two pools in square meters?",
"role": "user"
},
{
"content": "<perception>The image shows two semicircles placed side by sid... | [
"cold_start_9k/images/51244.jpg"
] |
[
{
"content": "<image>\nQuestion: Guangming Elementary School actively participated in a charity event to help children in disaster areas. Fifth-grade students donated 900 yuan.",
"role": "user"
},
{
"content": "<perception>The image shows two children in a conversation bubble. The boy says \"The fif... | [
"cold_start_9k/images/51247.jpg"
] |
[
{
"content": "<image>\nQuestion: The hippopotamus weighs (_) tons more than the buffalo.",
"role": "user"
},
{
"content": "<perception>The image shows a hippopotamus and a buffalo. The hippopotamus says \"My weight is 5.1 tons\". The buffalo says \"The hippopotamus's weight is 1.5 times mine\". The ... | [
"cold_start_9k/images/51251.jpg"
] |
[
{
"content": "<image>\nQuestion: The random variable ξ follows a normal distribution N(1,σ^{2}). Given that P(ξ<0)=0.3, find P(ξ<2)=___.",
"role": "user"
},
{
"content": "<perception>The image shows a normal distribution curve. The curve is symmetric about the line x=1. The shaded area represents P(... | [
"cold_start_9k/images/51274.jpg"
] |
[
{
"content": "<image>\nQuestion: 10. It is known that ___________.",
"role": "user"
},
{
"content": "<perception>The image contains a mathematical problem. The problem states that a, b, and c are real numbers, and a + 2b + 3c = 6. The question asks for the minimum value of a² + 4b² + 9c². </percept... | [
"cold_start_9k/images/51275.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the diagram, a rectangular garden \\(ABCD\\) is fenced with a 40-meter-long fence, with one side adjacent to a wall (the length of the wall is unlimited). Let the length of side \\(AB\\) be \\(x\\) meters. What is the maximum area of the garden?",
"role": "user"
... | [
"cold_start_9k/images/51316.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that Tom has a part-time job at a donut shop and received a bonus due to good donut sales last year, what was Tom's net income for the year based on his yearly finances?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Tom's yearly fi... | [
"cold_start_9k/images/51327.jpg"
] |
[
{
"content": "<image>\nQuestion: After executing the program statements as shown in the picture, the output j = ____.",
"role": "user"
},
{
"content": "<perception>The image shows a sequence of program statements.\n1. j = -2\n2. i = 5\n3. i = i + j\n4. j = i + j\n</perception>\n<reasoning>The progra... | [
"cold_start_9k/images/51348.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image contains a mathematical problem. It states that the function f(x) = ax^2 + 1. It also states that the definite integral of f(x) from 0 to 1 is equal to 2. The problem asks to find the value of a. </perception>\n... | [
"cold_start_9k/images/51349.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the diagram, △A′B′C′ is obtained by translating △ABC 2 cm along the direction of ray AC. If AC = 3 cm, then A′C = ______ cm.",
"role": "user"
},
{
"content": "<perception>The image shows two triangles, △ABC and △A′B′C′. △A′B′C′ is the result of translatin... | [
"cold_start_9k/images/51361.jpg"
] |
[
{
"content": "<image>\nQuestion: Here is a part of the medication instruction. Do you know how many days this bottle of medicine can last for the patient?",
"role": "user"
},
{
"content": "<perception>The image shows a portion of a medication instruction label. It includes the following information:... | [
"cold_start_9k/images/51370.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the image, a ship sails from port A at a speed of 8 nmile/h towards the northeast direction, and another ship sails simultaneously from the port towards the southeast direction at a speed of 6 nmile/h. How far apart are the two ships 2 hours after leaving port A?",
... | [
"cold_start_9k/images/51376.jpg"
] |
[
{
"content": "<image>\nQuestion: How many more balloons were sold on Saturday compared to Friday?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Balloons sold\". The table has two columns: \"Day\" and \"Number of balloons\". The rows are:\n- Thursday: 689\n- Friday: 668\... | [
"cold_start_9k/images/51392.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, points A, B, and C are collinear. How many rays are there in total in the figure (__)",
"role": "user"
},
{
"content": "<perception>The image shows a line segment with three points labeled A, B, and C. The points are collinear and appear in th... | [
"cold_start_9k/images/51405.jpg"
] |
[
{
"content": "<image>\nQuestion: ___________ .",
"role": "user"
},
{
"content": "<perception>The image shows a definite integral expression. It is the integral of the absolute value of (x-1) with respect to x, from the lower limit 0 to the upper limit 4. The expression is: ∫[0 to 4] |x-1| dx = </p... | [
"cold_start_9k/images/51410.jpg"
] |
[
{
"content": "<image>\nQuestion: The Wenzhou Bridge is a double-tower cable-stayed bridge. As shown in the figure, for a certain tower, the longest cables on the left and right sides, AB and AC, are equal. The distance between the bottom end point D of the tower column AD and point B is 208 meters. What is the ... | [
"cold_start_9k/images/51416.jpg"
] |
[
{
"content": "<image>\nQuestion: (2015, Chengdu) In response to the \"Shuxiang Chengdu\" initiative and to foster a good culture of reading within the school, a certain high school in Chengdu conducted a random survey on the average daily reading time of some students. The statistical results are shown in the f... | [
"cold_start_9k/images/51417.jpg"
] |
[
{
"content": "<image>\nQuestion: The cheetah is the fastest animal in the world, with a speed that can reach 110 km/h, which is 30 km less than 4 times the speed of an elephant. What is the maximum speed of the elephant in kilometers per hour? (Solve using an equation)",
"role": "user"
},
{
"content... | [
"cold_start_9k/images/51424.jpg"
] |
[
{
"content": "<image>\nQuestion: The number of zeros of the function is _____.",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function f(x) defined as follows:\nf(x) = x - 2, if x > 0\nf(x) = -x^2 + (1/2)x + 1, if x <= 0\nThe image also defines a function g(x) = f(x) + x.... | [
"cold_start_9k/images/51426.jpg"
] |
[
{
"content": "<image>\nQuestion: In an 8x8 square chessboard, taking out one \"L-shape\" composed of 3 small squares (as shown in the figure), there are ___ different ways to do this.",
"role": "user"
},
{
"content": "<perception>The image shows four different \"L-shapes\" made of 3 squares. Each L-... | [
"cold_start_9k/images/51432.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Brandon need to buy 5 computer printers, 12 computer mice, and 3 cameras?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices: computer keyboard ($15.06), camera ($62.03), computer mouse ($15.95), compute... | [
"cold_start_9k/images/51434.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the flowchart shown in the image, the output number is (___ ).",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts with initializing two variables: k to 1 and s to 0. Then, it enters a loop. Inside the loo... | [
"cold_start_9k/images/51441.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the , there is a cargo yard with two stacks of containers, one with $$2$$ containers and the other with $$3$$ containers. They all need to be shipped, and only the topmost container can be taken from one of the stacks at a time. The number of different ways to take c... | [
"cold_start_9k/images/51452.jpg"
] |
[
{
"content": "<image>\nQuestion: If the pattern continues, how many sprinklers will be there on 4 soccer fields?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of soccer fields\" and the second column is labeled \"Number of s... | [
"cold_start_9k/images/51459.jpg"
] |
[
{
"content": "<image>\nQuestion: The flowchart (i.e., algorithm flowchart) as shown in the . The input result is (___).",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). Then, the variable 'a' is initialized to 1. Inside a loop, 'a' ... | [
"cold_start_9k/images/51462.jpg"
] |
[
{
"content": "<image>\nQuestion: In the flowchart shown in the image, if the input values of a and b are 4 and 3 respectively, then the output value of n is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start), then takes inputs ... | [
"cold_start_9k/images/51471.jpg"
] |
[
{
"content": "<image>\nQuestion: Class 4(1) students are conducting a \"Recycle Waste Paper to Protect the Environment\" activity, with each student recycling an average of 1.5 kilograms of waste paper. How many kilograms of recycled paper can be produced from the waste paper recycled by the 31 students in this... | [
"cold_start_9k/images/51487.jpg"
] |
[
{
"content": "<image>\nQuestion: The maximum value of the function is ________.",
"role": "user"
},
{
"content": "<perception>The image shows the function f(x) = (1 + cos x)^8 + (1 - cos x)^8, where x is a real number. The question asks for the maximum value of this function.</perception>\n<reasoni... | [
"cold_start_9k/images/51492.jpg"
] |
[
{
"content": "<image>\nQuestion: The solution to the equation is _______.",
"role": "user"
},
{
"content": "<perception>The image shows the equation \"x + 2 = 7\". It is a simple algebraic equation where 'x' is the unknown variable. The equation states that 'x' plus 2 equals 7.</perception>\n<reaso... | [
"cold_start_9k/images/51496.jpg"
] |
[
{
"content": "<image>\nQuestion: The value of the output S in the program flowchart shown in the figure is (__)",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts with initializing S to 0 and i to 1. Then, it enters a loop. Inside the loop, S ... | [
"cold_start_9k/images/51519.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the image, a rectangle is divided into 4 smaller rectangles by two straight lines. Calculate the area of the shaded region (unit: centimeters).",
"role": "user"
},
{
"content": "<perception>The image shows a rectangle divided into four smaller rectangles.... | [
"cold_start_9k/images/51537.jpg"
] |
[
{
"content": "<image>\nQuestion: The maximum value of the function is ____________.",
"role": "user"
},
{
"content": "<perception>The image shows the equation y = |x+1| - |x-1|. This is a function involving absolute values. To find the maximum value, we need to analyze the function in different int... | [
"cold_start_9k/images/51541.jpg"
] |
[
{
"content": "<image>\nQuestion: Xiaoqiang goes from home to school in the morning for classes and returns home in the afternoon after school. How many meters does he walk in a week (5 days)?",
"role": "user"
},
{
"content": "<perception>The image shows a boy named Xiaoqiang walking towards a school... | [
"cold_start_9k/images/51551.jpg"
] |
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