messages listlengths 2 2 | images listlengths 1 1 |
|---|---|
[
{
"content": "<image>\nQuestion: As shown in the figure, in a cube wooden block with a side length of 20 centimeters, square holes with a side length of 4 centimeters are chiseled from the center of the front, top, and right faces straight through to the opposite faces, respectively, to make a toy. Find the vol... | [
"cold_start_9k/images/48850.jpg"
] |
[
{
"content": "<image>\nQuestion: (2016 Autumn • Taishan District Midterm) As shown in the figure, the two altitudes AD and BE of ΔABC intersect at point F, ∠BAD = 45°, ∠C = 60°, then the measure of ∠ABF is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a triangle ABC. AD is an a... | [
"cold_start_9k/images/48856.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the school has a rectangular flower bed. A few people walk from point $$A$$ to point $$B$$ through a \"shortcut\" within the flower bed, avoiding the corner $$C$$. They end up walking _______ fewer steps ($$assuming$$ 2 steps equal $$1$$ \\textit{$m$$})$$... | [
"cold_start_9k/images/48862.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). It initializes A to 1 and k to 1. Then, it enters a loo... | [
"cold_start_9k/images/48876.jpg"
] |
[
{
"content": "<image>\nQuestion: If , then the maximum value of f(x) is ___.",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = x + 7, for x in the interval [-1, 1]\nf(x) = 2x + 6, for x in the interval [1, 2]\nWe need to find the maximum v... | [
"cold_start_9k/images/48877.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image contains a mathematical expression: \"14.在(x-2)(x-3)(x-4)(x-5)(x-6)的展开式中,含x^4的项的系数是.\" This translates to: \"14. In the expansion of (x-2)(x-3)(x-4)(x-5)(x-6), the coefficient of the x^4 term is ____.\" The ques... | [
"cold_start_9k/images/48878.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, ∠BAC = 130°. If MP and QN are the perpendicular bisectors of AB and AC respectively, then ∠PAQ is equal to (___)",
"role": "user"
},
{
"content": "<perception>The image shows a triangle ABC with angle BAC = 130 degrees. MP is the perpendicular... | [
"cold_start_9k/images/48908.jpg"
] |
[
{
"content": "<image>\nQuestion: The value of the definite integral is ___________________.",
"role": "user"
},
{
"content": "<perception>The image shows a definite integral expression. The integral is from -2 to 2 of the function (x^3 + 2x + 1) with respect to x. </perception> <reasoning>The probl... | [
"cold_start_9k/images/48919.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, it is the relation graph between the road length y (meters) and time x (days) for a certain engineering team working on the \"Village-to-Village\" project. According to the information provided by the graph, the length of the road is ____ meters.",
"r... | [
"cold_start_9k/images/48932.jpg"
] |
[
{
"content": "<image>\nQuestion: Function ____________",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical problem. It defines a function f(x) = 3x + sin(x) + 1, where x is a real number. It also states that f(t) = 2, and asks for the value of f(-t). </perception>\n<reasonin... | [
"cold_start_9k/images/48933.jpg"
] |
[
{
"content": "<image>\nQuestion: The minimum value of the function is ___________",
"role": "user"
},
{
"content": "<perception>The image shows the function y = sin x + √3 cos x, with the domain x ∈ [0, π/2]. We need to find the minimum value of this function within the given domain.</perception>\n... | [
"cold_start_9k/images/48937.jpg"
] |
[
{
"content": "<image>\nQuestion: There is a rectangular container with a length of 8 cm, a width of 6 cm, and a height of 10 cm, filled with water. If all this water is poured into a cube-shaped container with an edge length of 8 cm, how many centimeters is the water surface away from the top of the cube-shaped... | [
"cold_start_9k/images/48940.jpg"
] |
[
{
"content": "<image>\nQuestion: Given __________",
"role": "user"
},
{
"content": "<perception>The image shows a sequence of equations involving cube roots. The first equation is $\\sqrt[3]{2+\\frac{2}{7}} = 2\\sqrt[3]{\\frac{2}{7}}$. The second equation is $\\sqrt[3]{3+\\frac{3}{26}} = 3\\sqrt[3]{... | [
"cold_start_9k/images/48955.jpg"
] |
[
{
"content": "<image>\nQuestion: ________12-8=□",
"role": "user"
},
{
"content": "<perception>The image shows an array of cylindrical objects, arranged in two rows of six. A dashed rectangle encloses the entire array. The problem presented is 12-8=□, which can be visually represented by the image. T... | [
"cold_start_9k/images/48971.jpg"
] |
[
{
"content": "<image>\nQuestion: Calculate: ________ .",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: (lg 5)^2 + lg 2 * lg 5 + lg 2 = . The expression involves base-10 logarithms (lg) of 5 and 2. The task is to simplify and calculate the value of the express... | [
"cold_start_9k/images/48976.jpg"
] |
[
{
"content": "<image>\nQuestion: (2013 Spring, Yuexiu District Final Exam) In the triangle △ABC, AC = 4, BC = 3, and points D and E are the midpoints of AC and AB, respectively. Then the length of DE is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a triangle ABC. Point D is on... | [
"cold_start_9k/images/48996.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, points $$M$$, $$N$$, and $$P$$ are the trisection points of line segment $$AB$$. Then $$BM$$ is ____ times of $$AM$$.",
"role": "user"
},
{
"content": "<perception>The image shows a line segment AB. There are three points M, N, and P on the li... | [
"cold_start_9k/images/49000.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total amount of money required by Pamela to purchase a blue ballpoint pen and a box of paper clips?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are: silver glitter pen ($0.91), ruler ($0.75), b... | [
"cold_start_9k/images/49012.jpg"
] |
[
{
"content": "<image>\nQuestion: There is a fountain in a square, where water is sprayed from the ground. As shown in the figure, with the horizontal ground as the x-axis and the water outlet as the origin, a planar Cartesian coordinate system is established. The trajectory of the water in the air forms a part ... | [
"cold_start_9k/images/49017.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function , then f(2013) = _______.",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression. The expression defines a function f(x) as f(x) = a*log_2(x) + b*log_3(x) + 2. It also states that f(1/2013) = 4.</perception>\n<reaso... | [
"cold_start_9k/images/49018.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, two right-angled triangles are stacked together such that their right-angle vertices coincide at point O. If ∠AOB = 160°, then ∠COD = ______.",
"role": "user"
},
{
"content": "<perception>The image shows two right-angled triangles, △AOD and △B... | [
"cold_start_9k/images/49030.jpg"
] |
[
{
"content": "<image>\nQuestion: The program flowchart is as shown, if the inputs are $$s=1$$, $$n=10$$, $$i=0$$, then the output $$s$$ is ______ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts by taking inputs s, n, and i. The initial va... | [
"cold_start_9k/images/49031.jpg"
] |
[
{
"content": "<image>\nQuestion: How many more boys walk to school than ride the bus?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Getting to school\". The table has three columns: \"Mode\", \"Boys\", and \"Girls\". The \"Mode\" column lists different ways of getting t... | [
"cold_start_9k/images/49086.jpg"
] |
[
{
"content": "<image>\nQuestion: With n different real numbers \\( a_{1}, a_{2}, \\ldots, a_{n} \\), n! different permutations can be obtained. Each permutation is written on one line, forming an array with n! lines. For the \\( i \\)-th line \\( a_{i1}, a_{i2}, \\ldots, a_{in} \\), let \\( b_{i} = -a_{i1} + 2a... | [
"cold_start_9k/images/49089.jpg"
] |
[
{
"content": "<image>\nQuestion: The set has a total of (____) subsets.",
"role": "user"
},
{
"content": "<perception>The image shows a set enclosed in curly braces: {a, b, c}. This set contains three elements: a, b, and c.</perception>\n<reasoning>The question asks for the total number of subsets ... | [
"cold_start_9k/images/49092.jpg"
] |
[
{
"content": "<image>\nQuestion: The flowchart of a program is shown in the right image. If this program is executed, the output value of S will be (__ ).",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing k to 1 and S to 0. T... | [
"cold_start_9k/images/49099.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total number of bull's-eyes hit over the 7 days?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Bull's-eyes\". The table has two columns: \"Day\" and \"Number of bull's-eyes\". The rows list the days of the week from Wednesday... | [
"cold_start_9k/images/49102.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in the quadrilateral $$ABCD$$, $$∠1=∠2$$, and $$∠A=60^{\\circ}$$. What is the measure of $$∠ADC$$ in degrees? ______ degrees.",
"role": "user"
},
{
"content": "<perception>The image shows a quadrilateral ABCD. Angle 1 is labeled at vertex B, a... | [
"cold_start_9k/images/49105.jpg"
] |
[
{
"content": "<image>\nQuestion: Let ________",
"role": "user"
},
{
"content": "<perception>The image shows an equation: (x-1)^4(x+2)^8 = a_0x^12 + a_1x^11 + ... + a_11x + a_12. Then there is a Chinese character followed by a_0 + a_2 + ... + a_10 + a_12 =. The question is to find the value of a_0 + ... | [
"cold_start_9k/images/49112.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in △ABC, D and E are the midpoints of AB and AC, respectively. If BC = 2 cm, then DE = ___ cm.",
"role": "user"
},
{
"content": "<perception>The image shows a triangle ABC. Point D is on side AB, and point E is on side AC. A line segment conne... | [
"cold_start_9k/images/49118.jpg"
] |
[
{
"content": "<image>\nQuestion: Please write down the telephone number of Teacher Wang's household.\nThe first digit: has factors 1, 3, and 6;\nThe second digit: is an even number and also a prime number;\nThe third digit: the smallest multiple is 8;\nThe fourth digit: is neither a prime number nor a composite... | [
"cold_start_9k/images/49125.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in triangle △ABC, ∠B = 90º, AB = 3, and AC = 5. The triangle △ABC is folded so that point C coincides with point A, and the crease is DE. The perimeter of △ABE is _____.",
"role": "user"
},
{
"content": "<perception>The image shows a right tri... | [
"cold_start_9k/images/49127.jpg"
] |
[
{
"content": "<image>\nQuestion: Buying 15 footballs costs ____ yuan.",
"role": "user"
},
{
"content": "<perception>The image shows a soccer ball and the price tag \"51 yuan\".</perception>\n<reasoning>The image shows the price of one football is 51 yuan. To find the cost of 15 footballs, we need to... | [
"cold_start_9k/images/49131.jpg"
] |
[
{
"content": "<image>\nQuestion: The area of the triangle with the same base and height as the parallelogram shown in the figure is ______ square meters.",
"role": "user"
},
{
"content": "<perception>The image shows a parallelogram. The base of the parallelogram is labeled as 1.5 meters. The height ... | [
"cold_start_9k/images/49149.jpg"
] |
[
{
"content": "<image>\nQuestion: How much more does this pasta cost than pasta with clams?",
"role": "user"
},
{
"content": "<perception>The image shows a menu with prices for different food items. The items listed are: grilled steak ($9.97), spaghetti and meatballs ($5.40), pasta with tomato sauce ... | [
"cold_start_9k/images/49161.jpg"
] |
[
{
"content": "<image>\nQuestion: If \\( a = 1 \\), \\( b = 19 \\), \\( c = 200 \\), \\( d = 2000 \\), then _______.",
"role": "user"
},
{
"content": "<perception>The image shows an algebraic expression: (a+b+c-d)+(a+b-c+d)+(a-b+c+d)+(-a+b+c+d) = . It is an addition of four bracketed terms, each cont... | [
"cold_start_9k/images/49162.jpg"
] |
[
{
"content": "<image>\nQuestion: If 2x + y = 2, then the minimum value of is ________.",
"role": "user"
},
{
"content": "<perception>The image shows the expression 3^(2x) + 3^y. The problem asks to find the minimum value of this expression given the constraint 2x + y = 2.</perception>\n<reasoning>T... | [
"cold_start_9k/images/49163.jpg"
] |
[
{
"content": "<image>\nQuestion: If it is an integer, then the smallest positive integer \\( a \\) should be (____ ).",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: the square root of 200a, written as $\\sqrt{200a}$. We need to find the smallest positive int... | [
"cold_start_9k/images/49182.jpg"
] |
[
{
"content": "<image>\nQuestion: A rectangular prism is cut by a plane parallel to its edges into two geometric bodies of equal volume. The three views of one of the geometric bodies are shown in the figure. The volume of the rectangular prism is .",
"role": "user"
},
{
"content": "<perception>The i... | [
"cold_start_9k/images/49185.jpg"
] |
[
{
"content": "<image>\nQuestion: Observe the table on the right: The Agricultural Bank is open for ____ hours each day.",
"role": "user"
},
{
"content": "<perception>The image shows a sign that reads \"Agricultural Bank Business Hours\" in Chinese. Below that, the operating hours are listed as \"9:0... | [
"cold_start_9k/images/49188.jpg"
] |
[
{
"content": "<image>\nQuestion: The following is a translation of the given math problem. The identifier is preserved:\n\nAs shown in the figure, it is a flowchart of an algorithm. The output result is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of an algorithm.... | [
"cold_start_9k/images/49217.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, it is a numerical converter. When the input is $$-1$$, please calculate the output result. (The calculation process must be included)",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a numerical converter. The input... | [
"cold_start_9k/images/49236.jpg"
] |
[
{
"content": "<image>\nQuestion: In which year did both countries have a negative multifactor productivity growth?",
"role": "user"
},
{
"content": "<perception>The image is a line graph showing the multifactor productivity growth (total, annual growth rate in %) from 2008 to 2016 for Denmark and th... | [
"cold_start_9k/images/49239.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: (-24) x (1/8 - 1/3 + 1/4). It involves multiplication of -24 with the result of the expression inside the parenthesis which contains fractions. </perception> <reasoning>The image... | [
"cold_start_9k/images/49241.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure: The three side lengths of the right triangle are 6 cm, 8 cm, and 10 cm respectively. Then the height corresponding to the side with length 10 cm is ____ cm.",
"role": "user"
},
{
"content": "<perception>The image shows a triangle. A vertical l... | [
"cold_start_9k/images/49247.jpg"
] |
[
{
"content": "<image>\nQuestion: How many bottles of mineral water are there in total?",
"role": "user"
},
{
"content": "<perception>The image shows 5 boxes of mineral water. Each box has \"24瓶\" written on it, which means 24 bottles. </perception> <reasoning>The image shows 5 boxes, and each box co... | [
"cold_start_9k/images/49265.jpg"
] |
[
{
"content": "<image>\nQuestion: If 3 butterflies fly away from the total on 3 branches, how many butterflies remain?",
"role": "user"
},
{
"content": "<perception>The image shows a table with two columns. The first column is labeled \"Number of branches\" and the second column is labeled \"Number o... | [
"cold_start_9k/images/49266.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image shows a girl asking a question related to a word problem. The word problem states that a fruit market needs to buy 384 boxes of fruit. They send out 4 large trucks to transport the fruit in two trips. The questi... | [
"cold_start_9k/images/49279.jpg"
] |
[
{
"content": "<image>\nQuestion: Mom is cooking a dish and it involves the following steps:\n\nHow many minutes does Mom need at minimum to make this dish?",
"role": "user"
},
{
"content": "<perception>The image shows a sequence of steps involved in cooking a dish, along with the time each step take... | [
"cold_start_9k/images/49289.jpg"
] |
[
{
"content": "<image>\nQuestion: Last fall, Julia worked at a donut shop making donuts and apple fritters. Here are her finances for that period. What was her net income?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Julia's fall finances\". The table has two rows. The ... | [
"cold_start_9k/images/49292.jpg"
] |
[
{
"content": "<image>\nQuestion: With 350 yuan, how many sets can I buy at most?",
"role": "user"
},
{
"content": "<perception>The image shows a scene in a bookstore. A woman is standing behind a counter, presumably a salesperson. A mother and daughter are looking at books. The salesperson says, \"O... | [
"cold_start_9k/images/49294.jpg"
] |
[
{
"content": "<image>\nQuestion: The Nine Linked Rings is a widely circulated puzzle game in China since ancient times. In a certain method of play, let \\( a_{n} \\) represent the minimum number of moves required to solve \\( n \\) ( \\( n \\leq 9, n \\in \\mathbb{N}^{*} \\) ) rings. Given \\( a_{1} = 1 \\), \... | [
"cold_start_9k/images/49296.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the picture, in a regular pentagon ABCDE, if each vertex A, B, C, D, E is colored with one of the three colors: red, yellow, or green, in such a way that no two adjacent vertices share the same color, then the total number of different coloring methods is ___.",
... | [
"cold_start_9k/images/49307.jpg"
] |
[
{
"content": "<image>\nQuestion: Mom bought 4 kilograms of tomatoes and 4 kilograms of bananas, spending a total of 24.8 yuan. How much does each kilogram of bananas cost?",
"role": "user"
},
{
"content": "<perception>The image shows two types of fruits: tomatoes and bananas. The price of tomatoes i... | [
"cold_start_9k/images/49313.jpg"
] |
[
{
"content": "<image>\nQuestion: The school district compared the number of swings at each elementary school. What is the mean of these numbers?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Swings\". The table has two columns: \"School\" and \"Number of swings\". The r... | [
"cold_start_9k/images/49315.jpg"
] |
[
{
"content": "<image>\nQuestion: In the rectangular coordinate plane , the left and right foci are F_{1} and F_{2} respectively. Point P is on the ellipse C, and PF_{1} is perpendicular to PF_{2}. Then the area of triangle PF_{1}F_{2} is ________.",
"role": "user"
},
{
"content": "<perception>The im... | [
"cold_start_9k/images/49322.jpg"
] |
[
{
"content": "<image>\nQuestion: In the algorithm flowchart shown in the figure, if the input is m=4 and n=3, then the output a=(____).",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of an algorithm. The algorithm starts by inputting two integers, m and n. It initializes a... | [
"cold_start_9k/images/49333.jpg"
] |
[
{
"content": "<image>\nQuestion: Each cat eats the same amount of fish, 1 cat eats ____ fish.",
"role": "user"
},
{
"content": "<perception>The image shows three cats and a pile of fish arranged in a triangular shape. One cat is on the left side of the fish, and two cats are on the right side of the... | [
"cold_start_9k/images/49340.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image shows two children and a snail. The girl has one basket and says \"There are 106 in here\". The boy has two baskets and says \"The number in each of my baskets is twice the number in your basket\". The snail ask... | [
"cold_start_9k/images/49346.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart as shown in the picture, and the output is S=____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts with initialization: A=0, S=0, and i=1. Then, it enters a loop. Inside the loo... | [
"cold_start_9k/images/49349.jpg"
] |
[
{
"content": "<image>\nQuestion: How many stamps should Xiaoli give to Xiaogang so that they have the same amount?",
"role": "user"
},
{
"content": "<perception>The image shows two children, Xiaoli and Xiaogang, and the number of stamps they have. Xiaoli says \"I have 15 stamps.\" Xiaogang says \"I ... | [
"cold_start_9k/images/49360.jpg"
] |
[
{
"content": "<image>\nQuestion: (2009 Changjun Middle School First Model Exam for Humanities) Set A is a 4-element subset of set B, the smallest element is 3, and the largest element is not less than 8. How many such sets A are there? (Answer with a number)",
"role": "user"
},
{
"content": "<percep... | [
"cold_start_9k/images/49378.jpg"
] |
[
{
"content": "<image>\nQuestion: Calculate: .",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression:\n√((-2)^2) - |-1| + (2012 - π)^0 - (1/2)^(-1)\n</perception> <reasoning>The expression is √((-2)^2) - |-1| + (2012 - π)^0 - (1/2)^(-1).\nFirst, √((-2)^2) = √(4) = 2.... | [
"cold_start_9k/images/49388.jpg"
] |
[
{
"content": "<image>\nQuestion: ___________._",
"role": "user"
},
{
"content": "<perception>The image shows the problem statement: In triangle ABC, b=1, c=sqrt(3), angle C = 2pi/3. Find a.\n</perception>\n<reasoning>We are given two sides and an angle opposite one of the sides. We can use the Law o... | [
"cold_start_9k/images/49389.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the minimum value of the vector is ___ .",
"role": "user"
},
{
"content": "<perception>The image shows two vectors, a = (x, 1) and b = (2, y-2). It also states that a is perpendicular to b. The question asks to find the value of 9^x + 3^y.</perception>\n<... | [
"cold_start_9k/images/49391.jpg"
] |
[
{
"content": "<image>\nQuestion: If the solution set of the inequality involving \\( x \\), given by \\( \\geq 0 \\), is \\( [-1, 2) \\cup [3, +\\infty) \\), then \\( a+b = (\\_\\_ ) \\).",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: \\(\\frac{(x+a)(x+b)}{x... | [
"cold_start_9k/images/49393.jpg"
] |
[
{
"content": "<image>\nQuestion: In a certain program flowchart as shown in the figure, when the input is $$50$$, the output result of the program after the operation is ______ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts by taking an ... | [
"cold_start_9k/images/49397.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, if the difference in the perimeters of △AOB and △AOD is 8, and AB:AD=3:2, what is the perimeter of parallelogram ABCD?",
"role": "user"
},
{
"content": "<perception>The image shows a parallelogram ABCD. The diagonals AC and BD intersect at poi... | [
"cold_start_9k/images/49402.jpg"
] |
[
{
"content": "<image>\nQuestion: Given: As shown in the figure, in △ABC, AB = AC, BC = BD, AD = DE = EB, what is the degree measure of ∠A? (________ )",
"role": "user"
},
{
"content": "<perception>The image shows a triangle ABC. AB = AC, so triangle ABC is an isosceles triangle. BC = BD, so triangle... | [
"cold_start_9k/images/49405.jpg"
] |
[
{
"content": "<image>\nQuestion: Among the five patterns designed with English letters, there are ________ axisymmetric figures.",
"role": "user"
},
{
"content": "<perception>The image shows four letters: H, Y, A, and P. The letters are outlined in black and filled with white. The letters H, Y, and ... | [
"cold_start_9k/images/49411.jpg"
] |
[
{
"content": "<image>\nQuestion: _(Text) From a region of 15,000 elderly people, 500 were randomly sampled, and their ability to live independently is as shown in the following table: __ How many more men than women in that region are unable to live independently? Approximately _______________ people. _(Theory)... | [
"cold_start_9k/images/49421.jpg"
] |
[
{
"content": "<image>\nQuestion: On Sunday, Teacher Li bought a bag of flour and more than half a bag of rice, spending a total of 118 yuan. How many kilograms of rice did Teacher Li buy?",
"role": "user"
},
{
"content": "<perception>The image shows two bags of food. The left bag contains flour, wei... | [
"cold_start_9k/images/49427.jpg"
] |
[
{
"content": "<image>\nQuestion: (Autumn 2010 • Shaoxing school monthly exam) As shown in the figure, in the rectangle ABCD, AB = 3 meters, BC = 2 centimeters, the distance between AB and CD is ____ cm.",
"role": "user"
},
{
"content": "<perception>The image shows a rectangle labeled ABCD. The side ... | [
"cold_start_9k/images/49430.jpg"
] |
[
{
"content": "<image>\nQuestion: How much did Paul pay in total for the 0.5 kilograms of maple syrup he purchased?",
"role": "user"
},
{
"content": "<perception>The image shows a table with a list of items and their prices per kilogram. The items listed are powdered sugar, light brown sugar, dark br... | [
"cold_start_9k/images/49440.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total amount of money required by Terrence to purchase both a sailboat and a motorcycle?",
"role": "user"
},
{
"content": "<perception>The image shows a table with two columns. The left column lists items: motorcycle, sailboat, dirt bike, and kayak. The r... | [
"cold_start_9k/images/49452.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, if the input value is -2, the output result is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with an \"Input\" box. The next box calculates the square of the input. The next box subtrac... | [
"cold_start_9k/images/49463.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Myra need to buy pasta with pesto sauce and a pepperoni pizza?",
"role": "user"
},
{
"content": "<perception>The image shows a menu with prices. \"cheese pizza\" is listed at $11.10, \"pepperoni pizza\" is listed at $11.25, \"pasta with pesto sauc... | [
"cold_start_9k/images/49466.jpg"
] |
[
{
"content": "<image>\nQuestion: The orthographic projections of a geometric solid are shown in the image below. Then, the volume of this geometric solid is _________.",
"role": "user"
},
{
"content": "<perception>The image shows the three orthographic projections of a geometric solid: a front view,... | [
"cold_start_9k/images/49477.jpg"
] |
[
{
"content": "<image>\nQuestion: If the input number is \"$$68$$\", then the output of the following program is ______",
"role": "user"
},
{
"content": "<perception>The image shows a program written in a basic programming language. The program takes an input x, and if x is greater than 9 and less th... | [
"cold_start_9k/images/49483.jpg"
] |
[
{
"content": "<image>\nQuestion: The volume of the geometric solid with the three views as shown on the right is _______",
"role": "user"
},
{
"content": "<perception>The image shows the three views of a geometric solid. The front view is a triangle with a base of 2 and a height of 2. The side view ... | [
"cold_start_9k/images/49492.jpg"
] |
[
{
"content": "<image>\nQuestion: The Guangming Ranch raises 900 beef cattle.",
"role": "user"
},
{
"content": "<perception>The image shows two cartoon animals with speech bubbles containing math problems. The first animal (a mouse) says: \"Beef cattle are 20% less than dairy cattle, how many dairy c... | [
"cold_start_9k/images/49505.jpg"
] |
[
{
"content": "<image>\nQuestion: Given , the area of △ABC is ____________",
"role": "user"
},
{
"content": "<perception>The image shows the coordinates of three points A, B, and C. A is at (7,8), B is at (10,4), and C is at (2,4). The question asks for the area of triangle ABC.</perception>\n<reason... | [
"cold_start_9k/images/49511.jpg"
] |
[
{
"content": "<image>\nQuestion: (Autumn 2013 • Dujiangyan City Final Exam) As shown in the figure, C and D are points on line segment AB, and point D is the midpoint of AC. Given that AB = 10 and AD = 4, then DB = ____.",
"role": "user"
},
{
"content": "<perception>The image shows a line segment AB... | [
"cold_start_9k/images/49516.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image shows three piles of bananas. A sign indicates that each pile contains 200 bananas. There are two elephants. One elephant says, \"I eat 60 bananas every day.\" The other elephant says, \"I eat 90 bananas every d... | [
"cold_start_9k/images/49533.jpg"
] |
[
{
"content": "<image>\nQuestion: Dad's age.\nHow old is Dad this year?",
"role": "user"
},
{
"content": "<perception>The image shows a conversation between a father and his son, Xiaolin. Xiaolin says, \"I am 10 years old this year.\" The father says, \"My age is 3 times yours plus 6 years.\" The tex... | [
"cold_start_9k/images/49566.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the , C is the midpoint of segment AB, and D is the midpoint of segment BC. \n(1) Please list all the segments in the figure; \n(2) If the sum of all segments in the figure is 52, find the length of segment AD.",
"role": "user"
},
{
"content": "<perceptio... | [
"cold_start_9k/images/49569.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the terminal side of angle α passes through the point P(x, -6), find the value of x (____).",
"role": "user"
},
{
"content": "<perception>The image shows the equation \"tan α = -3/5\". This equation relates the tangent of an angle α to the ratio -3/5. We a... | [
"cold_start_9k/images/49585.jpg"
] |
[
{
"content": "<image>\nQuestion: How many restaurants sold less than 90 slices of pizza?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Pizza slices sold\". The table has two columns: \"Restaurant\" and \"Number of slices sold\". The restaurants listed are: New York Slic... | [
"cold_start_9k/images/49592.jpg"
] |
[
{
"content": "<image>\nQuestion: Mr. Li brought 1280 yuan and is planning to buy some volleyballs. How many can he buy at most?",
"role": "user"
},
{
"content": "<perception>The image shows a volleyball and a promotional message. The volleyball costs 65 yuan each. The promotional message states that... | [
"cold_start_9k/images/49609.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the diagram, the diagonals AC and BD of parallelogram ABCD intersect at point O. Point E is the midpoint of CD. The perimeter of triangle ABD is 16 cm. Then the perimeter of triangle DOE is ______ cm.",
"role": "user"
},
{
"content": "<perception>The imag... | [
"cold_start_9k/images/49673.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure is the orthographic projection of a tetrahedron, the volume of the tetrahedron is _______ .",
"role": "user"
},
{
"content": "<perception>The image shows the three views of a tetrahedron: the front view, the side view, and the top view. The fro... | [
"cold_start_9k/images/49688.jpg"
] |
[
{
"content": "<image>\nQuestion: A certain program flowchart is shown in the figure. The decision box reads \"Is k≥n?\" where n is a positive integer. If the output S=26, then the value of n in the decision box is _____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a... | [
"cold_start_9k/images/49696.jpg"
] |
[
{
"content": "<image>\nQuestion: There are 3 parts, one of which is defective and slightly heavier. Based on the weighing process shown in the image, part number ____ is definitely defective.",
"role": "user"
},
{
"content": "<perception>The image shows a balance scale. On the left pan, there is a p... | [
"cold_start_9k/images/49715.jpg"
] |
[
{
"content": "<image>\nQuestion: The distance of the point corresponding to the complex number in the complex plane from the origin is ______________.",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: (1-i)(1+i) divided by 2i. This is a complex number expressi... | [
"cold_start_9k/images/49719.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, seven squares are placed in a row on line l. It is known that the area of the three diagonally placed squares marked with are respectively 1.0, 1.21, 1.44. The areas of the four upright squares are \\(S_{1}, S_{2}, S_{3}, S_{4}\\). Calculate the sum \\(S... | [
"cold_start_9k/images/49720.jpg"
] |
[
{
"content": "<image>\nQuestion: If the function is an even function, then the real number \\(a = \\) _______",
"role": "user"
},
{
"content": "<perception>The image shows the equation f(x) = x^2 - |x+a|. The problem states that f(x) is an even function and asks for the value of the real number 'a'... | [
"cold_start_9k/images/49762.jpg"
] |
[
{
"content": "<image>\nQuestion: If the program flowchart shown is executed, with the input of positive integer N (N≥2) and real numbers a_{1}, a_{2}, ..., a_{N}, it outputs A and B. If the input N is 20 and a_{1}, a_{2}, ..., a_{N} are 87, 76, 89, 98, 68, 76, 89, 94, 83, 86, 68, 79, 95, 93, 89, 87, 76, 77, 84,... | [
"cold_start_9k/images/49773.jpg"
] |
[
{
"content": "<image>\nQuestion: The students from Class Seven (1) conducted a survey to understand the average monthly water usage of households in a certain community. They randomly surveyed some of the households and organized the survey data as shown in the following table (partial): If there are 800 house... | [
"cold_start_9k/images/49781.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the maximum and minimum values of are M and N, respectively. Then M+N=___",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression for a function f(x). The function is a fraction where the numerator is √2 * sin(x + π/4) + 2x... | [
"cold_start_9k/images/49786.jpg"
] |
[
{
"content": "<image>\nQuestion: Look at the picture, write down the equation, and calculate the result.",
"role": "user"
},
{
"content": "<perception>The image shows two diagrams with lengths labeled in meters. The first diagram shows a length of 7 meters divided into 5 equal segments. The total le... | [
"cold_start_9k/images/49787.jpg"
] |
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