messages listlengths 2 2 | images listlengths 1 1 |
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[
{
"content": "<image>\nQuestion: (2011 Jiangsu Taizhou, 19, 4 points) Calculate or simplify: _;___________",
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{
"content": "<perception>The image shows a mathematical expression: (-1)^0 + |2 - sqrt(3)| + 2 sin 60°. It involves exponentiation, absolute value, and trigonometric functi... | [
"cold_start_9k/images/45803.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the algorithm shown in the image. If x is 3 as the input, the output value of y is _____________.",
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{
"content": "<perception>The image shows a flowchart of an algorithm. The algorithm starts by inputting a value for x. Then, it checks if x ... | [
"cold_start_9k/images/45813.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure is a flowchart of an algorithm. The output value of S is ______.",
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{
"content": "<perception>The image shows a flowchart of an algorithm. The algorithm starts with initializing S to 0 and i to 1. Then, it enters a loop. Inside... | [
"cold_start_9k/images/45842.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the , point $$C$$ is on the line segment $$AB$$, with $$AC < CB$$. $$M$$ and $$N$$ are the midpoints of $$AB$$ and $$CB$$, respectively. Given $$AC=8$$ and $$NB=5$$, the length of line segment $$MN$$ is ______ .",
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{
"content": "<percepti... | [
"cold_start_9k/images/45853.jpg"
] |
[
{
"content": "<image>\nQuestion: Calculate the area of the following figure (unit: meters).",
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{
"content": "<perception>The image shows a parallelogram. One side of the parallelogram is labeled as 2.5 meters. A dashed line represents the height of the parallelogram, and it is label... | [
"cold_start_9k/images/45874.jpg"
] |
[
{
"content": "<image>\nQuestion: The power of a positive integer m greater than or equal to 2 raised to the nth power can be decomposed as follows: \\(2^{2}=1+3\\), \\(3^{2}=1+3+5\\), \\(4^{2}=1+3+5+7\\), ..., \\(2^{3}=3+5\\), \\(3^{3}=7+9+11\\), \\(4^{3}=13+15+17+19\\), ... Based on the decomposition rule ment... | [
"cold_start_9k/images/45882.jpg"
] |
[
{
"content": "<image>\nQuestion: We all heard the story of the tortoise and the hare during our childhood and know that the tortoise ultimately defeated the hare. In the second race, if the hare decides to make a comeback and starts chasing the tortoise at a speed of 101 meters per minute, while the tortoise co... | [
"cold_start_9k/images/45890.jpg"
] |
[
{
"content": "<image>\nQuestion: (2014·Xiaogan Simulation) Given that real numbers \\( x \\) and \\( y \\) satisfy , if \\( z = x^{2} + y^{2} \\), then the maximum value of \\( z \\) is ________.",
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{
"content": "<perception>The image shows a system of inequalities:\nx + y - 3 >= 0\... | [
"cold_start_9k/images/45894.jpg"
] |
[
{
"content": "<image>\nQuestion: If the inequality holds for all positive numbers \\( x \\) and \\( y \\), then the maximum value of the integer \\( k \\) is ___ ▲___ _",
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{
"content": "<perception>The image shows the inequality \\(4x^2 + 9y^2 \\geq 2^k xy\\). The problem asks to f... | [
"cold_start_9k/images/45895.jpg"
] |
[
{
"content": "<image>\nQuestion: In order to understand the situation of noise pollution, the Environmental Protection Bureau of a certain city conducted a sampling survey of noise levels (unit: decibels) at 80 measurement points. After organizing the data, the noise levels were divided into five groups and a f... | [
"cold_start_9k/images/45896.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the inequality ≤ 0 has the solution 2 ≤ x < 3, find the value of a + 2b. _____.",
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{
"content": "<perception>The image shows a mathematical expression: a fraction with the numerator \"x - b\" and the denominator \"x - a\". The expression ... | [
"cold_start_9k/images/45909.jpg"
] |
[
{
"content": "<image>\nQuestion: Let the function \\( f(x) = \\) If \\( f(3) = 2 \\) and \\( f(-2) = 0 \\), then \\( b = \\) .",
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{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = log_a(x+1) when x > 0\nf(x) = x^2 + ax + b when x <= 0\n\nWe ... | [
"cold_start_9k/images/45913.jpg"
] |
[
{
"content": "<image>\nQuestion: (12 points) Find the maximum value of .",
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{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = 4x + 3, if x <= 0\nf(x) = x + 3, if 0 < x <= 1\nf(x) = -x + 5, if x > 1\n\nThe question asks to find the maximum val... | [
"cold_start_9k/images/45923.jpg"
] |
[
{
"content": "<image>\nQuestion: Read the flowchart as shown in the image, run the corresponding program, then the output value of s is ______.",
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{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then initializes i=1 and s=1. The flowchart ... | [
"cold_start_9k/images/45933.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the perimeter of a square is 36 cm, find the area of the parallelogram below.",
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{
"content": "<perception>The image shows a square and a parallelogram. The square is on the left and the parallelogram is on the right. The base of the paral... | [
"cold_start_9k/images/45942.jpg"
] |
[
{
"content": "<image>\nQuestion: If a program flowchart is shown as in the image, then the value of the output \\( S \\) is ______.",
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{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing two variables: S = 1 and k = 1. Then, it en... | [
"cold_start_9k/images/45944.jpg"
] |
[
{
"content": "<image>\nQuestion: If then the maximum value of the coefficients in the expansion is equal to __________ .",
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{
"content": "<perception>The image shows the binomial expansion of (x+1)^n as a polynomial a_0 + a_1x + a_2x^2 + ... + a_nx^n, where n is a positive integer.... | [
"cold_start_9k/images/45947.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in △ABC, DE is the perpendicular bisector of AC, AE = 5 cm, and the perimeter of △ABD is 17 cm. Find the perimeter of △ABC.",
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{
"content": "<perception>The image shows a triangle ABC. A line DE intersects AC at E and BC at D.... | [
"cold_start_9k/images/45955.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, B is a point on line segment AD, and C is the midpoint of line segment BD. Given that AD = 10 and BC = 3, find the length of line segment AC._______.",
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{
"content": "<perception>The image shows a line segment AD with points B... | [
"cold_start_9k/images/46002.jpg"
] |
[
{
"content": "<image>\nQuestion: 2+5=",
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{
"content": "<perception>The image shows two groups of green cartoon watermelons with smiley faces. The first group contains two watermelons, and the second group contains five watermelons. </perception>\n<reasoning>The image shows two water... | [
"cold_start_9k/images/46024.jpg"
] |
[
{
"content": "<image>\nQuestion: If Benson and Blakely had to lay off 10% of their employees, how many employees would remain?",
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{
"content": "<perception>The image is a table titled \"Company sizes\". The table has two columns: \"Company\" and \"Number of employees\". The table li... | [
"cold_start_9k/images/46029.jpg"
] |
[
{
"content": "<image>\nQuestion: Using red, yellow, and blue to color the six connected circles as shown in the figure, if each color can only be used for two circles and adjacent circles cannot be the same color, the number of different coloring schemes is ______.",
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{
"content": "... | [
"cold_start_9k/images/46040.jpg"
] |
[
{
"content": "<image>\nQuestion:",
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{
"content": "<perception>The image shows a bar model diagram. The total length of the bar is labeled as 60. The bar is divided into three equal sections, each labeled with the variable 'x'. This indicates that 3 times x equals 60.</perception>\n<... | [
"cold_start_9k/images/46042.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the coordinates of point P(x, y) satisfy the condition , the minimum distance from point P to the line 3x - 4y - 9 = 0 is _________.",
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{
"content": "<perception>The image shows a system of inequalities:\nx >= 1\ny >= x\nx - 2y + 3 >= 0\nT... | [
"cold_start_9k/images/46049.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the range of the number of members in each club at the local high school?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Club membership\". The table has two columns: \"Club\" and \"Number of members\". The clubs listed are: Japan... | [
"cold_start_9k/images/46053.jpg"
] |
[
{
"content": "<image>\nQuestion: Find the area of the following figure:",
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},
{
"content": "<perception>The image shows two figures: a rectangle (Figure 1) and a parallelogram (Figure 2). The rectangle has a length of 7.5 and a width of 4. The parallelogram has a base of 6 and a height... | [
"cold_start_9k/images/46054.jpg"
] |
[
{
"content": "<image>\nQuestion: How many hens are there?",
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},
{
"content": "<perception>The image shows a cartoon drawing of chicks and a hen. Three chicks are shown with speech bubble saying \"We have 300 in total\". The hen is sitting on a nest of eggs and has a speech bubble sayin... | [
"cold_start_9k/images/46061.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, there is a set square with a 60° angle. First, place its graduated right-angle side on the straight line AB. Then rotate it by α degrees around its right-angle vertex O so that the hypotenuse CD becomes parallel to AB. The angle ∠α is equal to ___ degrees... | [
"cold_start_9k/images/46068.jpg"
] |
[
{
"content": "<image>\nQuestion:",
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{
"content": "<perception>The image shows a teacher and six children. The teacher is standing next to a pile of brooms. The teacher says, \"You 6 people each take one, and there are 20 left.\" The children are asking, \"How many brooms were there ... | [
"cold_start_9k/images/46087.jpg"
] |
[
{
"content": "<image>\nQuestion: Calculate: ;",
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},
{
"content": "<perception>The image shows a mathematical expression: |-2| + (√3 - 1)^0 + 2 sin 30° - (1/2)^(-1). It involves absolute value, exponentiation, trigonometric function (sine), and negative exponent. </perception> <reasonin... | [
"cold_start_9k/images/46098.jpg"
] |
[
{
"content": "<image>\nQuestion: Aniu has a rectangular farmland with a length of 8 meters and a width of 6 meters. If a fence is to be put around it, how many meters of fence are needed?",
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},
{
"content": "<perception>The image shows a rectangular farmland with several rows of crops ... | [
"cold_start_9k/images/46102.jpg"
] |
[
{
"content": "<image>\nQuestion: When x=___ , the value of the fraction is 0.",
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{
"content": "<perception>The image shows a fraction. The numerator is x^2 - 5x - 6. The denominator is |x| - 6. The question asks for the value of x that makes the fraction equal to 0.</perception>\n<... | [
"cold_start_9k/images/46110.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function f(x) = , find f[f(-2)].",
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},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = 2x, if x >= 0\nf(x) = x^2, if x < 0\nThe question asks to find f[f(-2)].</perception>\n<reasoning>First, we need ... | [
"cold_start_9k/images/46113.jpg"
] |
[
{
"content": "<image>\nQuestion: Let \\( F_1 \\) and \\( F_2 \\) be the left and right foci of the ellipse , respectively. Point \\( P \\) lies on the ellipse, and \\( M \\) is the midpoint of segment \\( F_1P \\). Given \\( |OM| = 1 \\), find the distance from point \\( P \\) to the left focus of the ellipse. ... | [
"cold_start_9k/images/46115.jpg"
] |
[
{
"content": "<image>\nQuestion: In order to understand the students' response situation, the Education Department of a city sampled the test papers of $$n$$ students after a test in the third year of high school, and based on the data obtained, drew a sample frequency distribution histogram ($$) (see figure $$... | [
"cold_start_9k/images/46118.jpg"
] |
[
{
"content": "<image>\nQuestion: _If_{}_____________。_",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function f(x) defined as follows:\nf(x) = |x-1| if x <= 0\nf(x) = log_3(x) if x > 0\nThe question asks to find the value of f(f(-2)).\n</perception>\n<reasoning>First, we ... | [
"cold_start_9k/images/46136.jpg"
] |
[
{
"content": "<image>\nQuestion: The sum of the rational numbers represented by points A and B on the number line is (___).",
"role": "user"
},
{
"content": "<perception>The image shows a number line with points A and B marked on it. Point A is located at -3 and point B is located at 2. The number l... | [
"cold_start_9k/images/46146.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the flowchart, when the input t=5, the output result is ___.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with an INPUT statement for a variable 't'. Then, there's a conditional statement: IF t <= 3 THEN. If th... | [
"cold_start_9k/images/46178.jpg"
] |
[
{
"content": "<image>\nQuestion: Xiaoqiang has $$5$$ cards with different numbers written on them:\n\nHe wants to choose $$2$$ cards from these $$5$$ cards so that the product of the numbers on these $$2$$ cards is maximized. Do you know how to choose the cards? What is the maximum possible product?",
"role... | [
"cold_start_9k/images/46199.jpg"
] |
[
{
"content": "<image>\nQuestion: (2014 Spring • Shanwei Final Exam) The three views of a polyhedron are shown in the figure, where the front view is a square and the side view is an isosceles triangle. What is the area of the top view of this geometric figure? ____.",
"role": "user"
},
{
"content": ... | [
"cold_start_9k/images/46201.jpg"
] |
[
{
"content": "<image>\nQuestion: Hunter taught kids how to play the guitar last summer at the local community center. His job as a guitar instructor was his only source of income. Here are Hunter's finances for the summer. What was Hunter's net income?",
"role": "user"
},
{
"content": "<perception>T... | [
"cold_start_9k/images/46214.jpg"
] |
[
{
"content": "<image>\nQuestion: For the quadratic equation in x , find k=___.",
"role": "user"
},
{
"content": "<perception>The image shows the equation (k-1)x^(k^2+1) + 6x + 8 = 0. The problem states that this is a quadratic equation in x, which means the highest power of x must be 2. Therefore, w... | [
"cold_start_9k/images/46228.jpg"
] |
[
{
"content": "<image>\nQuestion: The charging standards for category A of mobile phones of a certain telecom company are as follows: Regardless of the call duration, each mobile phone must pay a monthly rent of 50 yuan, and an additional fee of 0.4 yuan per minute of call. If y (yuan) represents the monthly fee... | [
"cold_start_9k/images/46240.jpg"
] |
[
{
"content": "<image>\nQuestion: According to the steps shown in the image, if the input value is $$2$$, the output value is ______ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The input value is first squared. Then, it is checked if the squared value is less than 10.... | [
"cold_start_9k/images/46245.jpg"
] |
[
{
"content": "<image>\nQuestion: (Spring 2013, Beilin District School Level Final Exam) As shown in the figure, the measuring tool ABC measures the diameter of a small glass tube. The length of AB is 12 cm and AC is divided into 60 equal parts. If the diameter DE of the small glass tube exactly aligns with the ... | [
"cold_start_9k/images/46263.jpg"
] |
[
{
"content": "<image>\nQuestion: Grandma Liu wants to enclose a chicken yard with a fence. The yard is 13 meters long and 4 meters wide, with one side against a wall (as shown in the diagram). How much fence does she need?",
"role": "user"
},
{
"content": "<perception>The image shows a rectangular c... | [
"cold_start_9k/images/46302.jpg"
] |
[
{
"content": "<image>\nQuestion: In △ABC, ∠C=90°, BC=2, then AB=(___).",
"role": "user"
},
{
"content": "<perception>The image contains the equation \"sinA = 1/3\". This equation relates the sine of angle A to the ratio 1/3. In the context of a right triangle ABC where angle C is 90 degrees, sinA is... | [
"cold_start_9k/images/46307.jpg"
] |
[
{
"content": "<image>\nQuestion: If each bucket contains 5 yellow blocks, how many yellow blocks are there in a total of 3 buckets?",
"role": "user"
},
{
"content": "<perception>The image shows a table with two columns. The first column is labeled \"Number of buckets\" and the second column is label... | [
"cold_start_9k/images/46314.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total number of customers that visited the grocery store from Wednesday to Friday?",
"role": "user"
},
{
"content": "<perception>The image is a table showing the number of customers at a grocery store on different days. The table has two columns: \"Day\" ... | [
"cold_start_9k/images/46316.jpg"
] |
[
{
"content": "<image>\nQuestion: Kirk buys 4 pounds of muesli, 1 pound of shredded wheat, and 2 pounds of granola. What is the total cost?",
"role": "user"
},
{
"content": "<perception>The image shows a table with cereal types and their prices per pound.\n- granola: $5 per pound\n- muesli: $6 per po... | [
"cold_start_9k/images/46318.jpg"
] |
[
{
"content": "<image>\nQuestion: Gordon buys 2 pounds of whole wheat flour, 5 pounds of soy flour, and 5 pounds of bleached white flour. What is the total cost?",
"role": "user"
},
{
"content": "<perception>The image shows a list of different types of flour and their prices per pound.\n- bleached wh... | [
"cold_start_9k/images/46346.jpg"
] |
[
{
"content": "<image>\nQuestion: Given ____",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical equation and a question. The equation is a² - 4a + 1 = 0. The question asks for the value of a² + 1/a². </perception>\n<reasoning>The problem gives the equation a² - 4a + 1 = 0 an... | [
"cold_start_9k/images/46349.jpg"
] |
[
{
"content": "<image>\nQuestion: In a math competition with a total of 20 questions, Xiaohua participated and scored 64 points. How many questions did Xiaohua answer correctly?",
"role": "user"
},
{
"content": "<perception>The image shows a cartoon girl with a speech bubble. The text in the speech b... | [
"cold_start_9k/images/46355.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the number of iterations of the program is ____ times.",
"role": "user"
},
{
"content": "<perception>The image shows a program written in a language similar to BASIC. The program initializes a variable x to 0. It then enters a WHILE loop that ... | [
"cold_start_9k/images/46379.jpg"
] |
[
{
"content": "<image>\nQuestion: If the value of the fraction is zero, then x = .",
"role": "user"
},
{
"content": "<perception>The image shows a fraction with x^2 - 4 in the numerator and x - 2 in the denominator. The question asks for the value of x when the fraction is equal to zero.</perception... | [
"cold_start_9k/images/46380.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a grasshopper stands at position 1. For the first jump, it jumps 1 step and lands at position 2; for the second jump, it jumps 2 steps and lands at position 4; for the third jump, it jumps 3 steps and lands back at position 1... For the nth jump, it jumps... | [
"cold_start_9k/images/46385.jpg"
] |
[
{
"content": "<image>\nQuestion: We all heard the story of the tortoise and the hare when we were young, and we know that the tortoise eventually defeated the hare. If in the second race, the hare learns from its mistakes and, when it is 1 kilometer behind the tortoise, starts to chase at a speed of 101 meters ... | [
"cold_start_9k/images/46397.jpg"
] |
[
{
"content": "<image>\nQuestion: (2012 Spring • Jinshan District School-Level Final Exam) As shown in the figure, in △ABC, AB = AC = 20 cm. Fold △ABC so that point A coincides with point B, and the crease is DE. If the perimeter of △BCD is 27 cm, then the length of BC is ____.",
"role": "user"
},
{
... | [
"cold_start_9k/images/46407.jpg"
] |
[
{
"content": "<image>\nQuestion: Solve the problem.",
"role": "user"
},
{
"content": "<perception>The image shows a badminton shuttlecock, a cylindrical container that can hold 4 shuttlecocks, and a boy asking a question. The question is \"20 shuttlecocks, how many containers can be filled?\".</perc... | [
"cold_start_9k/images/46410.jpg"
] |
[
{
"content": "<image>\nQuestion: (2007 Dongcheng District Preliminary Exam - Science) _ Given that x and y satisfy the constraint conditions, the minimum value is ____________ .",
"role": "user"
},
{
"content": "<perception>The image shows a system of inequalities: x ≥ 0, y ≥ 0, and x + y ≥ 2. It al... | [
"cold_start_9k/images/46415.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the distance between the point (2,3) and the focus of the parabola is 5, then P = _______.",
"role": "user"
},
{
"content": "<perception>The image shows the equation of a parabola: y^2 = 2px, where p > 0. This is a horizontal parabola centered at the orig... | [
"cold_start_9k/images/46420.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the following flowchart, and the final value of \\textit{n} is _______._",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). Then, n is initialized to 1. The next step is n = n + 1. Then, there ... | [
"cold_start_9k/images/46421.jpg"
] |
[
{
"content": "<image>\nQuestion: How many kilograms of oil can be extracted from 1 ton of peanuts?",
"role": "user"
},
{
"content": "<perception>The image shows a cartoon boy with a speech bubble. The speech bubble says \"100 kilograms of peanuts can produce 39 kilograms of oil.\"</perception>\n<rea... | [
"cold_start_9k/images/46435.jpg"
] |
[
{
"content": "<image>\nQuestion: (Autumn 2011, final exam, Changyang): As shown in the figure, in the parallelogram ABCD, AC = AD, and ∠B = 72°, then ∠CAD = ____°.",
"role": "user"
},
{
"content": "<perception>The image shows a parallelogram ABCD. The diagonal AC is drawn. It is given that AC = AD a... | [
"cold_start_9k/images/46462.jpg"
] |
[
{
"content": "<image>\nQuestion: Mia counted the number of ducks at each pond in the city. What is the largest number of ducks?",
"role": "user"
},
{
"content": "<perception>The image is a stem and leaf plot titled \"Ducks per pond\". The stem represents the tens digit and the leaf represents the on... | [
"cold_start_9k/images/46481.jpg"
] |
[
{
"content": "<image>\nQuestion: Solve the equation: .",
"role": "user"
},
{
"content": "<perception>The image shows an equation: y - (0.5y - 0.1)/0.6 = 1. The equation involves the variable y and some decimal numbers. The goal is to solve for y. </perception>\n<reasoning>The equation is y - (0.5y -... | [
"cold_start_9k/images/46483.jpg"
] |
[
{
"content": "<image>\nQuestion: (2011 Autumn • School Term End Exam in Shapingba District) As shown in the figure, points A, B, and C on the number line represent the rational numbers a, b, and c respectively. Then simplify |a-b| - |c-a| + |b-c| = ____.",
"role": "user"
},
{
"content": "<perception... | [
"cold_start_9k/images/46486.jpg"
] |
[
{
"content": "<image>\nQuestion: Calculate the result of which is _____★___",
"role": "user"
},
{
"content": "<perception>The image contains the expression \"lg 2 + lg 5\". The \"lg\" likely represents the base-10 logarithm. The expression is the sum of the base-10 logarithm of 2 and the base-10 lo... | [
"cold_start_9k/images/46496.jpg"
] |
[
{
"content": "<image>\nQuestion: (2010 Autumn, Zhaoyuan City's Final Exam) As shown in the diagram, the segment \\( AB = 60 \\) cm, \\( M \\) is the midpoint of \\( AB \\), \\( P \\) is on \\( MB \\), \\( N \\) is the midpoint of \\( PB \\), and \\( NB = 12 \\) cm. Then the length of \\( AP \\) is ____.",
"... | [
"cold_start_9k/images/46521.jpg"
] |
[
{
"content": "<image>\nQuestion: The flowchart is shown in the figure, and its output 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. There is a loop where 'a' is up... | [
"cold_start_9k/images/46544.jpg"
] |
[
{
"content": "<image>\nQuestion: If the flowchart of a certain program is shown as in the figure, and the program outputs \\textit{p} as 3 after it runs, then the input \\textit{n} is ( )",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts by ta... | [
"cold_start_9k/images/46578.jpg"
] |
[
{
"content": "<image>\nQuestion: Mandy buys 1/2 of a kilogram of some Spanish olives. What is the total cost?",
"role": "user"
},
{
"content": "<perception>The image shows a table with the prices of different types of olives per kilogram. Kalamata olives cost $3 per kg, black olives cost $2 per kg, ... | [
"cold_start_9k/images/46581.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the orthographic projections of a triangular pyramid (unit: cm) are shown in the figure, the volume of the triangular pyramid is __________ cm³.",
"role": "user"
},
{
"content": "<perception>The image shows the three orthographic projections (front view, s... | [
"cold_start_9k/images/46587.jpg"
] |
[
{
"content": "<image>\nQuestion: (2015 Autumn • Pingdingshan School Level Monthly Test) As shown in the diagram, squares A and C are constructed with the lengths of one leg and the hypotenuse of a right triangle respectively, with areas of 9 and 25. What is the area of square B, which is constructed with the le... | [
"cold_start_9k/images/46609.jpg"
] |
[
{
"content": "<image>\nQuestion: How many birds are there in total?",
"role": "user"
},
{
"content": "<perception>The image shows a tree branch with several birds on it. There are some trees and bushes around the branch. The text \"又来了9只\" is present, which translates to \"9 more came\". By counting... | [
"cold_start_9k/images/46613.jpg"
] |
[
{
"content": "<image>\nQuestion: The program flowchart is shown in the figure. If the input value of a is the imaginary unit i, then the output result is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then \"Input a\". Next, it i... | [
"cold_start_9k/images/46618.jpg"
] |
[
{
"content": "<image>\nQuestion: The solution to the equation is ___.",
"role": "user"
},
{
"content": "<perception>The image shows the equation $\\sqrt{x+4} = 3$. It is a radical equation where the square root of the expression x+4 is equal to 3. To solve for x, we need to square both sides of the... | [
"cold_start_9k/images/46628.jpg"
] |
[
{
"content": "<image>\nQuestion: The distance from the coordinate origin to the line is ____________.",
"role": "user"
},
{
"content": "<perception>The image shows the equation of a line: 4x + 3y - 12 = 0. We need to find the distance from the origin (0,0) to this line. </perception>\n<reasoning>Th... | [
"cold_start_9k/images/46642.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money is needed to buy 9 bicycle helmets?",
"role": "user"
},
{
"content": "<perception>The image shows a list of sports equipment and their prices. The list includes: bicycle ($74.13), baseball helmet ($24.04), bowling ball ($22.34), soccer ball ($13.68), b... | [
"cold_start_9k/images/46649.jpg"
] |
[
{
"content": "<image>\nQuestion: How many angles are there in the picture?",
"role": "user"
},
{
"content": "<perception>The image shows a set of lines radiating from a single point. There are 7 lines in total. These lines form angles with each other at the point where they meet. </perception>\n<rea... | [
"cold_start_9k/images/46698.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the difference between the highest and lowest values of the green bars?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph titled \"Broad public support for developing more solar and wind power\". The y-axis lists different energy sources:... | [
"cold_start_9k/images/46704.jpg"
] |
[
{
"content": "<image>\nQuestion: After collecting the students' commuting times from home to school, a frequency distribution histogram was created as follows:\n$$(1)$$ Find the value of $$a$$ and the average commuting time of the students from home to school;\n$$(2)$$ Due to insufficient dormitory capacity, th... | [
"cold_start_9k/images/46712.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... | [
"cold_start_9k/images/46724.jpg"
] |
[
{
"content": "<image>\nQuestion: To promote harmonious social development, children's health has attracted great attention. A certain kindergarten measured the weights of 100 children in the \"big class\" and created a frequency distribution histogram based on the obtained data as shown in the figure. The numbe... | [
"cold_start_9k/images/46754.jpg"
] |
[
{
"content": "<image>\nQuestion: Find the area of the shaded region. (Unit: cm)",
"role": "user"
},
{
"content": "<perception>The image shows a composite figure. The shaded region is a triangle. The base of the triangle is labeled as 11 cm. The height of the triangle is labeled as 5 cm. The area of ... | [
"cold_start_9k/images/46762.jpg"
] |
[
{
"content": "<image>\nQuestion: How many more stuffed animals does Greg have compared to Samantha?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Stuffed animal collections\". The table has two columns: \"Name\" and \"Number of stuffed animals\". The rows contain the na... | [
"cold_start_9k/images/46771.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in trapezoid $$ABCD$$ with $$AD \\parallel BC$$, $$∠BAD=90^{\\circ}$$, and the diagonals $$BD \\perp DC$$,\n\nAnswer the following questions:\n1. Are $$\\triangle ABD$$ and $$\\triangle DCB$$ similar? Please explain your reasoning;\n2. If $$AD=2$$ and $$B... | [
"cold_start_9k/images/46776.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure is the calendar for July 2008. Circle any three consecutive numbers in a vertical column on the calendar. If the sum of the three circled numbers is 54, then the last day of these numbers is July ____, 2008.",
"role": "user"
},
{
"content": "<p... | [
"cold_start_9k/images/46810.jpg"
] |
[
{
"content": "<image>\nQuestion: (Autumn 2012 • Changshan County School Final Exam) In the figure, the area of the parallelogram is 40 square centimeters, and the area of the shaded triangle is ____ square centimeters.",
"role": "user"
},
{
"content": "<perception>The image shows a parallelogram. A ... | [
"cold_start_9k/images/46823.jpg"
] |
[
{
"content": "<image>\nQuestion: If the three-view drawing of a polyhedron is shown as in the figure, then the volume of this polyhedron is ___.",
"role": "user"
},
{
"content": "<perception>The image shows the three-view drawing of a polyhedron. The front view is a triangle with a base of 3 and a h... | [
"cold_start_9k/images/46843.jpg"
] |
[
{
"content": "<image>\nQuestion: A geometric solid is composed of 12 identical small cubes. The shape of the geometric solid as seen from above is shown in the figure. If the number in each small square represents the number of small cubes at that position, then the total number of small cubes visible from the ... | [
"cold_start_9k/images/46846.jpg"
] |
[
{
"content": "<image>\nQuestion: A car starts moving forward with variable speed from directly under a streetlight. The length of the car's shadow is (t is in seconds). The moment at which the length of the car's shadow changes the fastest is at the ___________ second.",
"role": "user"
},
{
"conten... | [
"cold_start_9k/images/46854.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total number of sheep owned by all the farmers combined?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Sheep owned\". The table has two columns: \"Farmer\" and \"Number of sheep\". The \"Farmer\" column lists four farmers: Fa... | [
"cold_start_9k/images/46859.jpg"
] |
[
{
"content": "<image>\nQuestion: Let \\( z = kx + y \\), where the real numbers \\( x \\) and \\( y \\) satisfy . If the maximum value of \\( z \\) is 12, then the real number \\( k = \\) __________.",
"role": "user"
},
{
"content": "<perception>The image shows a system of linear inequalities:\nx+y-... | [
"cold_start_9k/images/46873.jpg"
] |
[
{
"content": "<image>\nQuestion: How many more new customers did the cable company have on Thursday compared to Friday?",
"role": "user"
},
{
"content": "<perception>The image is a table showing the number of new cable customers each day from Wednesday to Saturday. Wednesday had 97 new customers, Th... | [
"cold_start_9k/images/46886.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the quadrilateral \\(ABCD\\) is inscribed in the circle \\(⊙O\\). If \\(\\angle C = 65^{\\circ}\\), then \\(\\angle A =\\) ______ \\(^{\\circ}\\).",
"role": "user"
},
{
"content": "<perception>The image shows a circle with center O. A quadrila... | [
"cold_start_9k/images/46890.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Alan need to buy a piece of fool's gold and a pumice stone?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are \"piece of fool's gold\" which costs $0.76, \"pumice stone\" which costs $0.2... | [
"cold_start_9k/images/46946.jpg"
] |
[
{
"content": "<image>\nQuestion: A part of a neon light consists of seven small bulbs (as shown in the figure). Each bulb can light up either red or yellow. The design requires that each time only three bulbs light up, and no two adjacent bulbs can light up simultaneously. How many different patterns of change ... | [
"cold_start_9k/images/46947.jpg"
] |
[
{
"content": "<image>\nQuestion: The teacher is preparing to measure the depth of a river. He inserts a bamboo pole into the riverbed at a distance of $$1.5m$$ from the shore. The part of the bamboo pole exposed above the water is exactly $$0.5m$$. When the top end of the bamboo pole is pulled towards the shore... | [
"cold_start_9k/images/46957.jpg"
] |
[
{
"content": "<image>\nQuestion: How many years show a percentage of 20% or lower for the opinion that U.S. role as a world leader is more important and powerful than 10 years ago?",
"role": "user"
},
{
"content": "<perception>The image is a line graph showing the percentage of people who believe th... | [
"cold_start_9k/images/46965.jpg"
] |
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