messages listlengths 2 2 | images listlengths 1 1 |
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[
{
"content": "<image>\nQuestion: Given , then \\textit{ab}+1=__________ .",
"role": "user"
},
{
"content": "<perception>\nThe image shows the equation (a+1)^2 + |b-2| = 0. This equation involves a squared term and an absolute value term, both of which are non-negative. For the sum of these two terms... | [
"cold_start_9k/images/56174.jpg"
] |
[
{
"content": "<image>\nQuestion: In which year did the response rates begin to level off?",
"role": "user"
},
{
"content": "<perception>The image is a line graph titled \"Despite overall decrease, response rates have stabilized over past four years\" and subtitled \"Response rate by year (%)\". The ... | [
"cold_start_9k/images/56175.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the frequency of shuttles going to the park between 10:00 A.M. and 2:00 P.M.?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Hotel shuttle bus schedule\". The table has two columns. The first column lists locations: amusement park... | [
"cold_start_9k/images/56176.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, △ABC ≌ △DEF, the perimeter of △DEF is 26 cm, DE = 9 cm, EF = 11 cm, ∠E = ∠B. Then AC = ______ cm.",
"role": "user"
},
{
"content": "<perception>The image shows two triangles, △ABC and △DEF, which are stated to be congruent. The perimeter of △D... | [
"cold_start_9k/images/56185.jpg"
] |
[
{
"content": "<image>\nQuestion: Xiaoming has 60 yuan. He spent 38 yuan to buy a backpack. With the remaining money, how many of the same notebooks can he buy at most?",
"role": "user"
},
{
"content": "<perception>The image shows a girl saying \"Each notebook costs 3 yuan\". The question states that... | [
"cold_start_9k/images/56193.jpg"
] |
[
{
"content": "<image>\nQuestion: The right image is a flowchart of an algorithm. The value of the output S is ________.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of an algorithm. The algorithm starts with initializing k to 1 and s to 0. Then, it enters a loop. Inside ... | [
"cold_start_9k/images/56197.jpg"
] |
[
{
"content": "<image>\nQuestion: The maximum value of the function is __________.",
"role": "user"
},
{
"content": "<perception>The image shows the equation y = sin x - sqrt(3) cos x. This is a trigonometric function. We need to find the maximum value of this function. </perception> <reasoning>The ... | [
"cold_start_9k/images/56205.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that x and y satisfy and the objective function z = 2x + y has a maximum value of 7, the minimum value is ___________.",
"role": "user"
},
{
"content": "<perception>The image shows a system of inequalities:\nx ≥ 1\nx + y ≤ 4\nx - 2y + c ≤ 0\nThe problem states... | [
"cold_start_9k/images/56220.jpg"
] |
[
{
"content": "<image>\nQuestion: The number of all sets B that meet the condition is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical equation: \"{1, 3} ∪ B = {1, 3, 5}\". It represents the union of the set {1, 3} and the set B, which results in the set {1, 3, 5}... | [
"cold_start_9k/images/56225.jpg"
] |
[
{
"content": "<image>\nQuestion: How many horns are there?",
"role": "user"
},
{
"content": "<perception>The image shows a collection of horns arranged in rows. The top row has 5 pairs of horns, totaling 10 horns. The second row has 2 pairs of horns, totaling 4 horns. A boy is shown saying \"I calcu... | [
"cold_start_9k/images/56228.jpg"
] |
[
{
"content": "<image>\nQuestion: In the image, the side length of the square is 5 cm. Find the area of the parallelogram in the image.",
"role": "user"
},
{
"content": "<perception>The image shows a rectangle divided into a parallelogram and a triangle. The rectangle is composed of a square and anot... | [
"cold_start_9k/images/56238.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the median percentage of people who view global economic engagement as a good thing?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph comparing attitudes towards global economic engagement across different countries and a median value. T... | [
"cold_start_9k/images/56248.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the sum of Parents bring it up and Children brings it up?",
"role": "user"
},
{
"content": "<perception>The image is a survey result from the Pew Research Center about parents talking to their children about the election. The first part of the image shows the... | [
"cold_start_9k/images/56277.jpg"
] |
[
{
"content": "<image>\nQuestion: (Autumn 2012, County-Level Final Term in Zhenlai) As shown in the figure, it is known in △ABC that ∠B=60°, AB=AC=4. A point D is taken on BC, and PD is drawn perpendicular to BC, meeting the extended line of BA at point P, and meeting AC at point Q. If CD=1, then find the length... | [
"cold_start_9k/images/56283.jpg"
] |
[
{
"content": "<image>\nQuestion: (2012 Autumn • End-of-term exam in Dongtai City) As shown in the figure, in the rhombus ABCD, AC and BD intersect at point O, and E is the midpoint of AB. If OE = 2, what is the perimeter of the rhombus ABCD? ____.",
"role": "user"
},
{
"content": "<perception>The im... | [
"cold_start_9k/images/56285.jpg"
] |
[
{
"content": "<image>\nQuestion: If there are 6 desk drawers, how many highlighters are there in total?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of desk drawers\" and the second column is labeled \"Number of highlighter... | [
"cold_start_9k/images/56288.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money is needed to buy a rocking chair, a bookcase, and a TV stand?",
"role": "user"
},
{
"content": "<perception>The image shows a list of furniture items and their prices. The items are: wooden stool ($15.37), TV stand ($30.95), bookcase ($39.16), set of b... | [
"cold_start_9k/images/56295.jpg"
] |
[
{
"content": "<image>\nQuestion: [Problem] (2011 Hunan Yiyang, Question 14, 6 points) Calculate: .",
"role": "user"
},
{
"content": "<perception>\nThe image shows a mathematical expression: sqrt(4) - (-3)^0 + |-2|. It involves a square root, an exponent, and an absolute value.\n</perception>\n<reaso... | [
"cold_start_9k/images/56304.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that \\( x \\) and \\( y \\) satisfy the constraint , the minimum value is _____________ .",
"role": "user"
},
{
"content": "<perception>The image shows a system of inequalities:\nx ≥ 0\ny ≥ 0\nx + y ≥ 2\nand the expression z = x + 2y. The problem asks to find ... | [
"cold_start_9k/images/56309.jpg"
] |
[
{
"content": "<image>\nQuestion: Each plate has 10 pumpkin bars. How many pumpkin bars are on 5 plates?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of plates\" and the second column is labeled \"Number of pumpkin bars\". T... | [
"cold_start_9k/images/56318.jpg"
] |
[
{
"content": "<image>\nQuestion: The solution to the equation is _.",
"role": "user"
},
{
"content": "<perception>The image shows the equation $\\frac{x}{x+1} = \\frac{1}{2}$. It is a fractional equation with the variable x in the numerator and denominator. </perception>\n<reasoning>The question as... | [
"cold_start_9k/images/56331.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the cross-section of a river embankment is a trapezoid ABCD, where BC ∥ AD. Given that the slope of the backwater side CD is i = 1:2.4 and the length of CD is 13 meters, the height of the embankment BE is ________ meters.",
"role": "user"
},
{
... | [
"cold_start_9k/images/56332.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Warren need to buy a train ticket to Chicago, a train ticket to San Francisco, and a train ticket to Los Angeles?",
"role": "user"
},
{
"content": "<perception>The image shows a list of train tickets and their prices.\n- train ticket to Chicago: $... | [
"cold_start_9k/images/56339.jpg"
] |
[
{
"content": "<image>\nQuestion: The number of subsets of the set is __________.",
"role": "user"
},
{
"content": "<perception>The image shows the set A = {1, 2}. This is a set containing two elements, 1 and 2. The question asks for the number of subsets of this set. </perception>\n<reasoning>The s... | [
"cold_start_9k/images/56346.jpg"
] |
[
{
"content": "<image>\nQuestion: The reception of tourists in a scenic area of our city during the \"May Day\" holiday is shown in the following graph. What is the average number of visitors to this scenic area over these seven days? ( _ )",
"role": "user"
},
{
"content": "<perception>The image is a... | [
"cold_start_9k/images/56362.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, AB is tangent to circle O at point B, and ∠AOB = 60°. Then the measure of ∠A is ( )",
"role": "user"
},
{
"content": "<perception>The image shows a circle with center O. A line segment AB is tangent to the circle at point B. A line segment ... | [
"cold_start_9k/images/56363.jpg"
] |
[
{
"content": "<image>\nQuestion: There is a rectangular iron sheet with a length of 35 cm and a width of 25 cm. After cutting out equal-area squares at the four corners, it can be folded into an open-top rectangular iron box with a depth of 5 cm. What is the volume of this iron box? (The thickness of the iron s... | [
"cold_start_9k/images/56366.jpg"
] |
[
{
"content": "<image>\nQuestion: At Hope Primary School's sports day, all athletes are numbered with consecutive integers starting from 1. They are arranged in a square formation as shown by the solid line in the image, starting from the first row and the first column, in ascending order. Xiaoming's number is 3... | [
"cold_start_9k/images/56383.jpg"
] |
[
{
"content": "<image>\nQuestion: In the \"Donate Pocket Money and Show Love\" activity, the donation situation of 50 students in a certain class is shown in the figure. What is the mode of the donation amounts in this event?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph show... | [
"cold_start_9k/images/56385.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in the rhombus ABCD, ∠A = 60° and AB = 5, what is the perimeter of triangle △ABD? (___ )",
"role": "user"
},
{
"content": "<perception>The image shows a rhombus ABCD. The angle A is labeled as 60 degrees, and the side AB is labeled as 5. The q... | [
"cold_start_9k/images/56395.jpg"
] |
[
{
"content": "<image>\nQuestion: If \\( x \\) and \\( y \\) are real numbers, and then \\( (x+y)^{2000} = (_____ )\\)",
"role": "user"
},
{
"content": "<perception>The image shows the equation |x+2| + sqrt(y-3) = 0. The equation involves an absolute value and a square root. Since both terms are non-... | [
"cold_start_9k/images/56397.jpg"
] |
[
{
"content": "<image>\nQuestion: If the fifth term in the expansion of the binomial is a constant term, then n=___________.",
"role": "user"
},
{
"content": "<perception>The image shows the expression $(\\frac{1}{x} + 2\\sqrt{x})^n$ where $n \\in N^*$. This is a binomial expression raised to the po... | [
"cold_start_9k/images/56399.jpg"
] |
[
{
"content": "<image>\nQuestion: : .",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression. The expression is a sum of combinations. The first term is C(3,3), the second term is C(4,3), and the last term is C(9,3). The question asks for the value of this sum. </perc... | [
"cold_start_9k/images/56402.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the number of colors present in the bars?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph from the Pew Research Center showing the percentage of people who think Republicans and Democrats in Washington will \"bicker and oppose one anoth... | [
"cold_start_9k/images/56419.jpg"
] |
[
{
"content": "<image>\nQuestion: If is a linear equation in terms of x, then m = _______.",
"role": "user"
},
{
"content": "<perception>The image shows the equation (m+5)x^(|m+4|) + 2 = 5. We are told that this is a linear equation in terms of x. This means that the exponent of x must be 1. Therefo... | [
"cold_start_9k/images/56421.jpg"
] |
[
{
"content": "<image>\nQuestion: ______________。_",
"role": "user"
},
{
"content": "<perception>The image shows the sum of even numbers from 2 to 100: 2 + 4 + 6 + 8 + ... + 100 =. The task is to find the sum of this arithmetic series. </perception>\n<reasoning>The image shows an arithmetic series wi... | [
"cold_start_9k/images/56430.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, when the input x=2, the output y=(___ ).",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Input x\". There is a decision box that checks if x >= 3. If x >= 3, then y = 5/(x+2). If x < 3, th... | [
"cold_start_9k/images/56439.jpg"
] |
[
{
"content": "<image>\nQuestion: The shortest path of a ray starting from point A(-1,1), reflecting off the x-axis, and reaching circle C: is _________.",
"role": "user"
},
{
"content": "<perception>The image shows the equation of a circle: (x-2)^2 + (y-3)^2 = 1. This represents a circle centered a... | [
"cold_start_9k/images/56452.jpg"
] |
[
{
"content": "<image>\nQuestion: Using the systematic sampling method, select 50 people from 1000 people for a questionnaire survey. They are randomly numbered as . After appropriate grouping, the number drawn by simple random sampling in the first group is 8. Among the 50 people drawn, those whose numbers fall... | [
"cold_start_9k/images/56459.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the area of the figure shown in the image is 24, and based on the conditions in the image, find the value of x.",
"role": "user"
},
{
"content": "<perception>The image shows an irregular polygon. The polygon can be viewed as a square with a small square cu... | [
"cold_start_9k/images/56464.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Philip need to buy 3 bright blue desktops, 5 business desktops, and 4 super desktops?",
"role": "user"
},
{
"content": "<perception>The image shows a table with two columns. The first column lists different types of desktops and laptops, and the s... | [
"cold_start_9k/images/56466.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the radius OD of circle O is 5 cm. The line l is perpendicular to OD at point O. How many centimeters should line l be translated in the direction of ray OD to be tangent to circle O?",
"role": "user"
},
{
"content": "<perception>The image sho... | [
"cold_start_9k/images/56468.jpg"
] |
[
{
"content": "<image>\nQuestion: How much more does this stamp cost than an airplane stamp?",
"role": "user"
},
{
"content": "<perception>The image shows a list of stamps and their prices. The list includes: airplane stamp ($0.07), duck stamp ($0.01), tulip stamp ($0.04), robot stamp ($0.08), and fl... | [
"cold_start_9k/images/56477.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in parallelogram ABCD, the ratio of the measures of two adjacent angles is 1:3. What is the measure of the smaller interior angle? ______.",
"role": "user"
},
{
"content": "<perception>The image shows a parallelogram labeled ABCD. The vertices... | [
"cold_start_9k/images/56479.jpg"
] |
[
{
"content": "<image>\nQuestion: In the , except for the numbers at both ends of each row, every other number is the average of the two numbers connected to it in the previous row. For example, 2.75 is the average of 2.5 and 3. The question is: What is the sum of all numbers in the 100th row?",
"role": "use... | [
"cold_start_9k/images/56481.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, three points A, B, and C on the number line represent the rational numbers a, b, and c respectively. Simplify \\( |a+b| - |a-c| + |b+c| \\).",
"role": "user"
},
{
"content": "<perception>The image shows a number line with points A, B, C marked... | [
"cold_start_9k/images/56483.jpg"
] |
[
{
"content": "<image>\nQuestion: In times of need, everyone helps. The people of Qingdao donated 500 tons of goods to the earthquake_affected area. How many train cars are needed to load all the goods?",
"role": "user"
},
{
"content": "<perception>The image shows two green train cars on a railway tr... | [
"cold_start_9k/images/56486.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the inequality holds true for any positive real numbers x, y, the minimum value of the positive real number a is ___.",
"role": "user"
},
{
"content": "<perception>The image shows the inequality (x+y)(1/x + a/y) >= 9. The problem asks for the minimum valu... | [
"cold_start_9k/images/56515.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for calculating the sum of the first 100 natural numbers (1+2+3+4+...+100). The flowchart starts with \"开始\" (Start). It initializes two variables: i = 1 and sum = 0. Then, it enters a loop. In... | [
"cold_start_9k/images/56538.jpg"
] |
[
{
"content": "<image>\nQuestion: \\( x_{1},x_{2} \\) are two real roots of a quadratic equation, then \\( x_{1} \\cdot x_{2} = (___) \\).",
"role": "user"
},
{
"content": "<perception>The image shows the quadratic equation x^2 - 3x - 2 = 0. The question asks for the product of the roots x1 and x2 of... | [
"cold_start_9k/images/56541.jpg"
] |
[
{
"content": "<image>\nQuestion: =",
"role": "user"
},
{
"content": "<perception>The image shows a cartoon cat sitting on top of a sign. The sign has the expression \"285+439\" written on it.</perception>\n<reasoning>The image shows the expression 285+439. I need to calculate the sum of these two nu... | [
"cold_start_9k/images/56558.jpg"
] |
[
{
"content": "<image>\nQuestion: The number of pine trees planted this year is 5 times the number of poplar trees. How many more pine trees are there compared to poplar trees?",
"role": "user"
},
{
"content": "<perception>The image shows a forest of poplar trees. A text box below the trees states \"... | [
"cold_start_9k/images/56570.jpg"
] |
[
{
"content": "<image>\nQuestion: Look at the picture and answer the question.",
"role": "user"
},
{
"content": "<perception>The image shows a fishbowl containing 48 small fish. An arrow points from the fishbowl to the right, indicating that some fish were taken away. The total number of fish, includ... | [
"cold_start_9k/images/56572.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Justine need to buy two bright blue note cards, one pale purple note card, and one piece of floral stationery?",
"role": "user"
},
{
"content": "<perception>The image shows a list of stationery items and their prices. The items are: \"piece of flo... | [
"cold_start_9k/images/56574.jpg"
] |
[
{
"content": "<image>\nQuestion: The following is a bar chart and a pie chart showing the distribution of students in a certain class by their commuting methods (taking a bus, walking, cycling). If the missing part in the bar chart is completed, the number of students represented by the missing rectangle is ___... | [
"cold_start_9k/images/56587.jpg"
] |
[
{
"content": "<image>\nQuestion: Think about it, the 4th figure should have ____ triangles.\n_",
"role": "user"
},
{
"content": "<perception>The image shows a sequence of figures. The first figure has 1 triangle and is labeled \"1\". The second figure has 1+3=4 triangles and is labeled \"1+3\". The ... | [
"cold_start_9k/images/56595.jpg"
] |
[
{
"content": "<image>\nQuestion: In a certain school's ninth grade (2) class, there are 50 students. The grade statistics for the \"Sports and Health\" aspect of the comprehensive quality evaluation are shown in the figure. The number of students in this class with an \"A\" grade for \"Sports and Health\" is __... | [
"cold_start_9k/images/56601.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the set M={-1,1}, , then M∩N=___ .",
"role": "user"
},
{
"content": "<perception>The image shows the set N defined as N = {x | 1/2 < 2^(x+1) < 4, x ∈ Z}. The set N contains integers x such that 2^(x+1) is between 1/2 and 4. The set M is given as M = {-1, 1}. Th... | [
"cold_start_9k/images/56603.jpg"
] |
[
{
"content": "<image>\nQuestion: =_______;",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression. It starts with a minus sign, followed by an absolute value symbol, then a plus sign, the number 0.37, and finally another absolute value symbol. The expression is -|+0.... | [
"cold_start_9k/images/56618.jpg"
] |
[
{
"content": "<image>\nQuestion: Today is Grandma's birthday, and she told her grandson: \"I have only celebrated 18 birthdays.\" Do you know why that is? How old is Grandma this year?",
"role": "user"
},
{
"content": "<perception>The image shows a cartoon of an elderly woman holding a heart-shaped ... | [
"cold_start_9k/images/56623.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that x + y = , the value of x² + y² is: ___.",
"role": "user"
},
{
"content": "<perception>The image shows two equations:\n1. x + y = sqrt(2) * sin(alpha + pi/4)\n2. x - y = sqrt(2) * sin(alpha - pi/4)\nThe question asks for the value of x^2 + y^2 given the abo... | [
"cold_start_9k/images/56633.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart shown on the right, the output value of y is ____________ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts by initializing x to 16. Then, it enters a loop. Inside the loop, it c... | [
"cold_start_9k/images/56635.jpg"
] |
[
{
"content": "<image>\nQuestion: In the given figure, in △ABC, DE is the perpendicular bisector of AB, intersecting BC at D and AB at E. Given that AE = 1 cm and the perimeter of △ACD is 12 cm, what is the perimeter of △ABC? __",
"role": "user"
},
{
"content": "<perception>The image shows a triangle... | [
"cold_start_9k/images/56646.jpg"
] |
[
{
"content": "<image>\nQuestion: Given \\( n \\in \\mathbb{N}^{+} \\), and \\( f(n) = \\), then \\( f(5) = ___ \\).",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function definition. The function f(n) is defined as follows:\n- If n >= 10, then f(n) = n + 2\n- If n < 10, ... | [
"cold_start_9k/images/56663.jpg"
] |
[
{
"content": "<image>\nQuestion: (Spring 2012, Midterm Exam in Fuyang) As shown in the figure, in rectangle ABCD, AB = 10 cm, BC = 6 cm. If the overlapping area of the translated rectangle and the original rectangle ABCD is 24 cm², the rectangle ABCD should be translated _____ cm along the AB direction.",
"... | [
"cold_start_9k/images/56664.jpg"
] |
[
{
"content": "<image>\nQuestion: What are the two values that appear more than once in the bar?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph from the Pew Research Center, conducted between June 7 and July 5, 2016. The graph shows the percentage of registered voters who supp... | [
"cold_start_9k/images/56667.jpg"
] |
[
{
"content": "<image>\nQuestion: The area of the triangle formed by the line and the coordinate axes is __________.",
"role": "user"
},
{
"content": "<perception>The image shows the equation of a line: 2x - 5y - 10 = 0. We need to find the area of the triangle formed by this line and the coordinate... | [
"cold_start_9k/images/56671.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the flowchart shown in the image, then the output value of $$k$$ is ______ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with initializing k=1 and S=1. Then, there is a loop. Inside the loop, S is updated as... | [
"cold_start_9k/images/56685.jpg"
] |
[
{
"content": "<image>\nQuestion: If the order of the letters in the English word \"\" is written incorrectly, there can be ____ possible mistakes._",
"role": "user"
},
{
"content": "<perception>The image shows the word \"good\" in lowercase letters. The letters are g, o, o, and d. </perception> <rea... | [
"cold_start_9k/images/56693.jpg"
] |
[
{
"content": "<image>\nQuestion: A farmer counted the number of apples on each tree in his orchard. How many trees have exactly 73 apples?",
"role": "user"
},
{
"content": "<perception>The image shows a stem-and-leaf plot titled \"Apples per tree\". The stem column represents the tens digit, and the... | [
"cold_start_9k/images/56696.jpg"
] |
[
{
"content": "<image>\nQuestion: ABCD is a square composed of 4 smaller squares. E and F are the midpoints of AD and AB, respectively. If the area of △EFC is 54 square units, then AB = ___.",
"role": "user"
},
{
"content": "<perception>The image shows a square ABCD divided into four equal smaller sq... | [
"cold_start_9k/images/56700.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function \\( f(x) = \\), if \\( f(a) = 3 \\), then the real number \\( a = \\_\\_\\_\\_\\_\\_\\_\\_\\_\\_ \\).",
"role": "user"
},
{
"content": "<perception>The image shows the mathematical expression \"sqrt(x-1)\". This represents the function f(x) = sqrt... | [
"cold_start_9k/images/56716.jpg"
] |
[
{
"content": "<image>\nQuestion: If the flowchart shown in the image is executed, then the output S=____",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). Then, it initializes k=1 and S=0. There is a loop that continues as long as k ... | [
"cold_start_9k/images/56721.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a parallelogram is cut along its height and translated to form a square with a side length of 20 centimeters. The area of the parallelogram is ____ square centimeters.",
"role": "user"
},
{
"content": "<perception>The image shows a parallelogr... | [
"cold_start_9k/images/56723.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total number of people who went swimming last month?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Going swimming last month\". The table has two columns: \"Number of times\" and \"Frequency\". The rows show the following dat... | [
"cold_start_9k/images/56731.jpg"
] |
[
{
"content": "<image>\nQuestion: 【Problem Statement】In 2003, Mainland China experienced an outbreak of \"SARS\" (Severe Acute Respiratory Syndrome). Under the correct leadership of the party and the government, the epidemic was effectively controlled. The following chart shows the trend of new confirmed cases i... | [
"cold_start_9k/images/56736.jpg"
] |
[
{
"content": "<image>\nQuestion: The sum of the maximum and minimum values of the function on the interval [0,1] is 3. Then, a = __.",
"role": "user"
},
{
"content": "<perception>The image shows the equation y = a^x. This represents an exponential function where 'a' is the base and 'x' is the expon... | [
"cold_start_9k/images/56783.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the median number of fire hydrants on these streets?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Fire hydrants\". The table has two columns: \"Street\" and \"Number of hydrants\". The rows list the following streets and the cor... | [
"cold_start_9k/images/56786.jpg"
] |
[
{
"content": "<image>\nQuestion: To ensure secure information transmission, there is a type of encryption system known as the secret key cipher system. Its encryption and decryption principles are illustrated in the following diagram: The encryption key is y=log_{a}(x+4), . As shown above, the plaintext \"4\" ... | [
"cold_start_9k/images/56790.jpg"
] |
[
{
"content": "<image>\nQuestion: The power function \\( f(x) = x^\\alpha \\) (\\(\\alpha \\in \\mathbb{R}\\)) passes through the point . Then \\( f(4) = \\) _________.",
"role": "user"
},
{
"content": "<perception>The image shows the coordinate point (2, sqrt(2)). This means that when x=2, f(x) = sq... | [
"cold_start_9k/images/56794.jpg"
] |
[
{
"content": "<image>\nQuestion: One volleyball weighs 100 grams. One ping-pong ball weighs ____ grams.",
"role": "user"
},
{
"content": "<perception>The image shows two balance scales. The first scale shows a pile of volleyballs on the left side and two weights on the right side, and the scale is b... | [
"cold_start_9k/images/56798.jpg"
] |
[
{
"content": "<image>\nQuestion: The perimeter of a rectangular piece of paper is 48 cm, and it can be cut into two squares. What is the perimeter of one square?",
"role": "user"
},
{
"content": "<perception>The image shows a rectangle being cut into two squares. The rectangle is longer than it is w... | [
"cold_start_9k/images/56799.jpg"
] |
[
{
"content": "<image>\nQuestion: Arrange the positive integers in the table:\n\nThen the number 2008 appears in the ___ row.",
"role": "user"
},
{
"content": "<perception>The image shows a triangular arrangement of positive integers. The first row contains the number 1. The second row contains the n... | [
"cold_start_9k/images/56802.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the flowchart shown on the right, and the output value of y is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then initializes x to 16. It then enters a loop. Inside the loop, it checks if... | [
"cold_start_9k/images/56816.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the circle \\textit{M}:\\textit{x}^{2}+\\textit{y}^{2}-2\\textit{x}-4\\textit{y}+1=0, the distance from the center of circle \\textit{M} to the line (where \\textit{t} is a parameter) is _.",
"role": "user"
},
{
"content": "<perception>The image shows a system... | [
"cold_start_9k/images/56820.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the following program as shown in the image: after running it, the output result is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a program written in pseudocode. The program initializes a variable `i` to 1. It then enters a `while` loop t... | [
"cold_start_9k/images/56824.jpg"
] |
[
{
"content": "<image>\nQuestion: If the pattern in the table continues, what y-value would correspond to an x-value of 5?",
"role": "user"
},
{
"content": "<perception>The image shows a table with two columns labeled 'x' and 'y'. The first row has x=14 and y=5. The second row has x=5 and y=3. The th... | [
"cold_start_9k/images/56836.jpg"
] |
[
{
"content": "<image>\nQuestion: Calculate the volume of the following shape (unit: centimeters).",
"role": "user"
},
{
"content": "<perception>The image shows a cylinder with a smaller cylindrical hole through the center. The outer cylinder has a diameter of 10 cm and a length of 15 cm. The inner c... | [
"cold_start_9k/images/56845.jpg"
] |
[
{
"content": "<image>\nQuestion: Xiaoliang's mother makes a long-distance call at a rate of 0.3 yuan per minute. For a call duration of 23 minutes, she needs to pay (___) yuan.",
"role": "user"
},
{
"content": "<perception>The image shows a woman carrying shopping bags and talking on a cell phone. S... | [
"cold_start_9k/images/56847.jpg"
] |
[
{
"content": "<image>\nQuestion: In a residential area of Hefei City, there is a plot of land with a length of 12 meters and a width of 6 meters. It is planned to build two rectangular green spaces of identical size, whose total area is 36 square meters. The green spaces will be surrounded by and separated by p... | [
"cold_start_9k/images/56850.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function \\( f(x) = \\), the zeros (roots) of the function \\( f(x) \\) are ________.",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = 2^x - 1, if x <= 1\nf(x) = 1 + log_2(x), if x > 1\nThe ques... | [
"cold_start_9k/images/56880.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that F1 and F2 are the two foci of the ellipse , and P is a point on the ellipse C, and ⊥. If the area of triangle △PF1F2 is 9, then b=________.",
"role": "user"
},
{
"content": "<perception>The image shows the equation of an ellipse C: x^2/a^2 + y^2/b^2 = 1, w... | [
"cold_start_9k/images/56900.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the number represented by point P on the number line is -1. If point P is moved 3 units to the right to obtain point P′, then the number represented by point P′ is ________.",
"role": "user"
},
{
"content": "<perception>The image shows a numbe... | [
"cold_start_9k/images/56924.jpg"
] |
[
{
"content": "<image>\nQuestion: First observe the following equations and find the pattern, then fill in the numbers as required.\n9×9+19=100\n99×99+199=10000\n999×999+1999=1000000\n…\nSo, the result of ends with ____ zeros.",
"role": "user"
},
{
"content": "<perception>The image shows a mathemati... | [
"cold_start_9k/images/56939.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the difference in revenue from supreme pizzas between The Big Cheese and Arnold's Pizzeria, as compiled by the food industry researcher?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Pizza sales\". The table has three columns: \"... | [
"cold_start_9k/images/56941.jpg"
] |
[
{
"content": "<image>\nQuestion: :\n\n_",
"role": "user"
},
{
"content": "<perception>The image shows a sequence of figures formed by small circles. The first figure has 6 circles, the second has 10, the third has 16, and the fourth has 24. The question asks for the number of circles in the sixth fi... | [
"cold_start_9k/images/56945.jpg"
] |
[
{
"content": "<image>\nQuestion: If the number of screws in each tool box doubles, how many screws will be in 3 tool boxes?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of tool boxes\" and the second column is labeled \"Num... | [
"cold_start_9k/images/56957.jpg"
] |
[
{
"content": "<image>\nQuestion: The imaginary part of the complex number is __________.__",
"role": "user"
},
{
"content": "<perception>The image shows the expression (2+i)i. This represents a complex number multiplication. We need to find the imaginary part of the resulting complex number.</perce... | [
"cold_start_9k/images/56980.jpg"
] |
[
{
"content": "<image>\nQuestion: Arrange shapes using sticks as described below.\n\nArranging 1 octagon requires 8 sticks, arranging 2 octagons requires 15 sticks... arranging 100 octagons requires ____ sticks.",
"role": "user"
},
{
"content": "<perception>The image shows a sequence of five octagons... | [
"cold_start_9k/images/56982.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart on the right, the output T = _______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program initializes three variables: S, T, and n to 0. The program then enters a loop. The loop continues a... | [
"cold_start_9k/images/56983.jpg"
] |
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