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[ { "content": "<image>\nQuestion: (5 points)(2011•Tianjin) A geometric solid has three views as shown in the figure (units: m). The volume of this geometric solid is _________ m³. __", "role": "user" }, { "content": "<perception>The image shows the three views of a geometric solid: a front view, a si...
[ "cold_start_9k/images/40944.jpg" ]
[ { "content": "<image>\nQuestion: (2015•Hunan Simulation) As shown in the flowchart, according to the final output value of the variable \\( s \\), the last digit of \\( s \\) is ____.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with initializing va...
[ "cold_start_9k/images/40947.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, in parallelogram ABCD, EF∥BC, MN∥AB, and the areas of quadrilaterals AEPN, BEPM, and CFPM are 6, 4, and 8 respectively. Find the area of parallelogram ABCD.", "role": "user" }, { "content": "<perception>The image shows a parallelogram ABCD. In...
[ "cold_start_9k/images/40949.jpg" ]
[ { "content": "<image>\nQuestion: (2005 • Jinhua) As shown in the figure, lines a and b are intersected by line l, with a ∥ b. If ∠1 = 50°, then ∠2 = ___ degrees.", "role": "user" }, { "content": "<perception>The image shows two parallel lines, a and b, intersected by a transversal line l. Angle 1 is...
[ "cold_start_9k/images/40954.jpg" ]
[ { "content": "<image>\nQuestion: Given that a, b, and c are located on a number line as shown in the figure, simplify: |b+c| - |a+c| - |a-b| = ____.", "role": "user" }, { "content": "<perception>The image shows a number line with zero labeled. To the right of zero is 'a', and to the left of zero are...
[ "cold_start_9k/images/40987.jpg" ]
[ { "content": "<image>\nQuestion: How far is Xiaoming's home from the library?", "role": "user" }, { "content": "<perception>The image shows Xiaoming riding a bicycle from his home to the library. He departs from his home at 8:15 and arrives at the library at 8:24. He travels 80 meters per minute. Th...
[ "cold_start_9k/images/40991.jpg" ]
[ { "content": "<image>\nQuestion: What is the average value of y for all the given x values?", "role": "user" }, { "content": "<perception>The image shows a table with two columns labeled 'x' and 'y'. The x values are 16, 0, and 7. The corresponding y values are 0, 8, and 19. </perception>\n<reasonin...
[ "cold_start_9k/images/41008.jpg" ]
[ { "content": "<image>\nQuestion: :\n\nAs shown in the figure, the line chart illustrates the amount of wastewater purified by a company from 2011 to 2017 (unit: tons). Note: The year codes 1-7 correspond to the years 2011-2017 respectively. (1) Establish the regression equation of y with respect to t from the ...
[ "cold_start_9k/images/41019.jpg" ]
[ { "content": "<image>\nQuestion: What is the price difference between a quilt and a pillow?", "role": "user" }, { "content": "<perception>The image shows a list of items and their prices. The items are: pillow ($12.53), quilt ($26.00), navy blue bath mat ($11.38), flannel sheet ($19.80), and fleece ...
[ "cold_start_9k/images/41020.jpg" ]
[ { "content": "<image>\nQuestion: (2016 • Yicheng City Simulation) The figure shows the unfolded drawing of a cube. The maximum sum of the numbers on opposite faces of the original cube is (___).", "role": "user" }, { "content": "<perception>The image shows the net of a cube. The numbers on the faces...
[ "cold_start_9k/images/41033.jpg" ]
[ { "content": "<image>\nQuestion: How many more plants did Xiaoli water compared to Xiaoying?", "role": "user" }, { "content": "<perception>The image shows two girls, Xiaoying and Xiaoli. Xiaoying says \"I watered 24 plants\". Xiaoli says \"I watered 3 times as many as you\". The names of the girls a...
[ "cold_start_9k/images/41035.jpg" ]
[ { "content": "<image>\nQuestion: How much money does Ernest need to buy a book about airplanes, a book about animals, and a book about snakes?", "role": "user" }, { "content": "<perception>The image shows a list of books and their prices. The books are: \"book about airplanes\" for $22.00, \"book ab...
[ "cold_start_9k/images/41036.jpg" ]
[ { "content": "<image>\nQuestion: In the algorithm represented by the flowchart as shown in the figure, the output result is ____.", "role": "user" }, { "content": "<perception>The image shows a flowchart for an algorithm. The algorithm starts with initializing two variables: i = 1 and S = 1. Then, i...
[ "cold_start_9k/images/41041.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the perimeter of △ABC is 28 cm. Fold the side AC of △ABC so that vertex C coincides with point A, and the crease intersects BC at point D and intersects AC at point E. Connect AD. If AE = 4 cm, then the perimeter of △ABD is ___ cm. __", "role": "user"...
[ "cold_start_9k/images/41053.jpg" ]
[ { "content": "<image>\nQuestion: The flowchart of a certain program is shown in the figure. The value of k output by this program after it runs is __________.__", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then initializes k to 2. Th...
[ "cold_start_9k/images/41058.jpg" ]
[ { "content": "<image>\nQuestion: How many responses are positive for 'nursing homes in your area'?", "role": "user" }, { "content": "<perception>The image is a graphic from the Pew Research Center presenting survey results about Americans' confidence in healthcare facilities to handle the medical ne...
[ "cold_start_9k/images/41066.jpg" ]
[ { "content": "<image>\nQuestion: How much money will Anna need to spend to purchase 2 kilograms of cherry tomatoes?", "role": "user" }, { "content": "<perception>The image shows a list of tomato types and their prices per kilogram. The list includes: roma tomatoes at $1.69 per kilogram, plum tomatoe...
[ "cold_start_9k/images/41071.jpg" ]
[ { "content": "<image>\nQuestion: Roger went to the store. He bought 2 pounds of powdered sugar and 3 pounds of light brown sugar. How much did he spend in total?", "role": "user" }, { "content": "<perception>The image shows a table of prices for different types of sugar and agave syrup. Light brown ...
[ "cold_start_9k/images/41079.jpg" ]
[ { "content": "<image>\nQuestion: In 2006, the average housing price in Chengde County was 1450 yuan per square meter. Just five years later, the price is now double that of 2006 plus an additional 650 yuan. What is the current average housing price per square meter?", "role": "user" }, { "content": ...
[ "cold_start_9k/images/41086.jpg" ]
[ { "content": "<image>\nQuestion: How many more boxes were sold on Wednesday compared to Monday?", "role": "user" }, { "content": "<perception>The image is a table titled \"Boxes of Girl Scout cookies sold\". The table has two columns: \"Day\" and \"Boxes of cookies\". The rows show the number of box...
[ "cold_start_9k/images/41105.jpg" ]
[ { "content": "<image>\nQuestion: What percent favour the death penalty for persons convicted of murder in the year 2017?", "role": "user" }, { "content": "<perception>The image is a line graph showing the trend of support for the death penalty over time. The x-axis represents years from 1936 to 2017...
[ "cold_start_9k/images/41112.jpg" ]
[ { "content": "<image>\nQuestion: Given the algorithm's flowchart as shown in the image, if the output values (x, y) are marked sequentially as (x_{1},y_{1}),(x_{2},y_{2}),…,(x_{n},y_{n}), and an array output in the program is (t, -8), then t is ______ .", "role": "user" }, { "content": "<perception>...
[ "cold_start_9k/images/41114.jpg" ]
[ { "content": "<image>\nQuestion: (2015 Spring, Hechi Final Exam) Given that [x] represents the greatest integer not greater than x, such as [5.3] = 5 and [-1] = -1, execute the flowchart as shown in the figure. Then the output value of i is ____.", "role": "user" }, { "content": "<perception>The ima...
[ "cold_start_9k/images/41122.jpg" ]
[ { "content": "<image>\nQuestion: If Farmer Anne buys 10 more sheep, how many sheep will she have?", "role": "user" }, { "content": "<perception>The image is a table titled \"Sheep owned\". The table has two columns: \"Farmer\" and \"Number of sheep\". The table lists the number of sheep owned by six...
[ "cold_start_9k/images/41131.jpg" ]
[ { "content": "<image>\nQuestion: Lily put two isosceles triangles together with their equal sides overlapping to form a parallelogram. The perimeter of the parallelogram is 22 centimeters. If the perimeter of each triangle is 16 centimeters, do you know the length of the equal sides of the triangles in centimet...
[ "cold_start_9k/images/41147.jpg" ]
[ { "content": "<image>\nQuestion: Given, as shown in the figure, in the right triangle △ABC, ∠BAC=90°, AD is perpendicular to BC, AC=2, and BD=3. Then, what is the value of \\( AB^{2} + AC^{2} + AD^{2} \\)?", "role": "user" }, { "content": "<perception>The image shows a right triangle ABC with angle ...
[ "cold_start_9k/images/41151.jpg" ]
[ { "content": "<image>\nQuestion: (2013 Autumn • Ranghulu District School-level Mid-term Exam) As shown in the figure, OA=OB and OC=OD. How many pairs of congruent triangles are there in the figure? ____.", "role": "user" }, { "content": "<perception>The image shows a geometric figure with point O as...
[ "cold_start_9k/images/41178.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, Xiao Liang starts from point A and moves forward 10 meters, turns 15° to the right, moves forward another 10 meters, turns 15° to the right again, and keeps walking in this manner. When he returns to the starting point A for the first time, the total dist...
[ "cold_start_9k/images/41199.jpg" ]
[ { "content": "<image>\nQuestion: If some teachers compared the number of years they have been teaching, what is the average of those numbers?", "role": "user" }, { "content": "<perception>The image is a table titled \"Years of teaching\". The table has two columns: \"Teacher\" and \"Number of years\...
[ "cold_start_9k/images/41201.jpg" ]
[ { "content": "<image>\nQuestion: The sum of the maximum and minimum values of the function is_____________.", "role": "user" }, { "content": "<perception>The image shows the function f(x) = |x-1| - |x+1|. This is a function involving absolute values. To find the maximum and minimum values, we need ...
[ "cold_start_9k/images/41210.jpg" ]
[ { "content": "<image>\nQuestion: Given a point P on the ellipse , the distance from point P to one of the foci of the ellipse is 3. Then the distance from point P to the other focus is (____).", "role": "user" }, { "content": "<perception>The image shows the equation of an ellipse: x^2/25 + y^2/16 =...
[ "cold_start_9k/images/41211.jpg" ]
[ { "content": "<image>\nQuestion: An object A is moving in a straight line with a velocity (t in seconds, v in meters per second). At the same moment when object A starts, object B is 8 meters ahead of object A and moving in the same direction as A with a velocity v=8t (t in seconds, v in meters per second). Le...
[ "cold_start_9k/images/41213.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, during the construction of a passage at a certain station on Line 3 of the Hefei Metro, construction workers converted a sloped passage with a slope length of 20 meters ($$AB = 20$$ meters) and a slope angle of $$20^{\\circ}30′$$ ($$\\angle BAC = 20^{\\ci...
[ "cold_start_9k/images/41224.jpg" ]
[ { "content": "<image>\nQuestion: Given that AB∥CD as shown in the figure, how many angles in the figure are supplementary to ∠1?", "role": "user" }, { "content": "<perception>The image shows two parallel lines AB and CD, intersected by a transversal EF. Angle 1 is formed at the intersection of line ...
[ "cold_start_9k/images/41228.jpg" ]
[ { "content": "<image>\nQuestion: Read the program flowchart as shown in the figure, then the output S = ____.", "role": "user" }, { "content": "<perception>The image shows a flowchart for a program. The program starts with initializing two variables: S = 1 and i = 1. Then, it enters a loop. Inside t...
[ "cold_start_9k/images/41243.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, in △ABC, DE∥BC, AD=3cm, DE=4cm, BC=6cm. Calculate the length of BD in cm.", "role": "user" }, { "content": "<perception>The image shows a triangle ABC. Inside the triangle, there is a line segment DE parallel to BC, with D on AB and E on AC. T...
[ "cold_start_9k/images/41255.jpg" ]
[ { "content": "<image>\nQuestion: (2015 Autumn • Changxing County Monthly Exam) As shown in the figure, the perpendicular bisectors of two sides AB and AC of triangle △ABC intersect BC at points D and E, respectively. If the length of side BC is 5 cm, then the perimeter of △ADE is ____ cm.", "role": "user" ...
[ "cold_start_9k/images/41263.jpg" ]
[ { "content": "<image>\nQuestion: (Autumn 2015 • Shaoyang School Final Exam) As shown in the figure, if CB=4cm, DB=7cm, and D is the midpoint of AC, then AB=____.", "role": "user" }, { "content": "<perception>The image shows a line segment AB. Points D and C lie on the line segment between A and B. T...
[ "cold_start_9k/images/41266.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, C and D are points on line segment AB. If CB = 4 cm, DB = 7 cm, and D is the midpoint of AC, then the length of line segment AB is ________", "role": "user" }, { "content": "<perception>The image shows a line segment AB with points D and C loc...
[ "cold_start_9k/images/41281.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the image, it is a schematic diagram of using a wooden rod to pry a stone. There is a stone, and to make it roll, the B end of the lever must be tilted up by 12 cm. It is known that the ratio of the lever's effort arm, OA, to the resistance arm, OB, is 5:1. To make t...
[ "cold_start_9k/images/41289.jpg" ]
[ { "content": "<image>\nQuestion: The line passing through the left focus F of the hyperbola intersects the left branch of the hyperbola at points M and N. F_{2} is the right focus of the hyperbola. Then the value of |MF_{2}| + |NF_{2}| - |MN| is ___.", "role": "user" }, { "content": "<perception>Th...
[ "cold_start_9k/images/41317.jpg" ]
[ { "content": "<image>\nQuestion: Here is the sales statistics chart of wool sweaters and shirts at the Red Star Clothing Store for the first half of 2006\n\n(1) How many wool sweaters were sold in May?\n(2) Briefly describe the changes in sales volume of shirts and wool sweaters and analyze the reasons.\n(3) If...
[ "cold_start_9k/images/41321.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, points \\( A_{1} \\), \\( B \\), \\( C \\), and \\( A_{2} \\) are collinear, \\( OM \\) is the perpendicular bisector of segment \\( AA_{1} \\), and \\( ON \\) is the perpendicular bisector of segment \\( AA_{2} \\). If \\( A_{1}A_{2} = 6 \\) cm, find the...
[ "cold_start_9k/images/41324.jpg" ]
[ { "content": "<image>\nQuestion: (4 points) Calculate: _", "role": "user" }, { "content": "<perception>The image contains a mathematical expression: {(-4)^2 + (π - 3)^0 - |-5|}. It involves exponentiation, subtraction, and absolute value. </perception> <reasoning>The expression is {(-4)^2 + (π - 3)^...
[ "cold_start_9k/images/41328.jpg" ]
[ { "content": "<image>\nQuestion: How much more does this envelope cost than a pale purple note card?", "role": "user" }, { "content": "<perception>The image shows a list of items and their prices. The items are: pale purple note card ($0.06), white note card ($0.03), sheet of green paper ($0.08), pi...
[ "cold_start_9k/images/41335.jpg" ]
[ { "content": "<image>\nQuestion: Carefully analyze the following information and solve the problem.", "role": "user" }, { "content": "<perception>The image shows the price of a table and a chair. The price of a table is 160 yuan, and the price of a chair is 40 yuan. If you only buy tables, you can b...
[ "cold_start_9k/images/41338.jpg" ]
[ { "content": "<image>\nQuestion: If \\(a\\) and \\(b\\) are opposites, \\(c\\) and \\(d\\) are reciprocals, and the absolute value of \\(m\\) is 2, then the value of is _____", "role": "user" }, { "content": "<perception>The image shows the expression (a+b)/m + m^2 - cd. We are given that a and b a...
[ "cold_start_9k/images/41344.jpg" ]
[ { "content": "<image>\nQuestion: _________ 3 + 3 =", "role": "user" }, { "content": "<perception>The image shows two groups of three cartoon cows. The first group is on the left, and the second group is on the right. Each cow is drawn in a simple, black and white style.</perception>\n<reasoning>The ...
[ "cold_start_9k/images/41346.jpg" ]
[ { "content": "<image>\nQuestion: Calculate the area of the shaded part in the figure. (Unit: cm)", "role": "user" }, { "content": "<perception>The image shows two figures. Figure 1 shows two identical shaded triangles ABC and CDE. The base BD is 20 cm and the height of each triangle is 10 cm. Figure...
[ "cold_start_9k/images/41367.jpg" ]
[ { "content": "<image>\nQuestion:", "role": "user" }, { "content": "<perception>The image shows a rabbit asking \"How many trips will it take to transport all the boxes?\". A truck is shown with a speech bubble saying \"Each trip carries 7 boxes\". There is a pile of boxes labeled \"91 boxes\".</perc...
[ "cold_start_9k/images/41368.jpg" ]
[ { "content": "<image>\nQuestion: (2010 Autumn • Quanzhou School-level Midterm) Given the algorithm statement shown in the figure: the output result is ____.", "role": "user" }, { "content": "<perception>The image shows a program written in a BASIC-like language. The program starts by taking input fo...
[ "cold_start_9k/images/41375.jpg" ]
[ { "content": "<image>\nQuestion: How much money does Martha need to buy a map of Canada and a cat calendar?", "role": "user" }, { "content": "<perception>The image shows a list of items and their prices. The items are: map of the world ($11.21), cat calendar ($11.70), map of Canada ($11.61), math bo...
[ "cold_start_9k/images/41404.jpg" ]
[ { "content": "<image>\nQuestion: How much money does Annie need to buy 9 bicycle helmets and 3 baseball bats?", "role": "user" }, { "content": "<perception>The image shows a list of sports equipment and their prices. The items listed are: bicycle ($74.13), baseball helmet ($24.04), bowling ball ($22...
[ "cold_start_9k/images/41408.jpg" ]
[ { "content": "<image>\nQuestion: On the top platform of Banzhangshan Forest Park (also known as Macau Return Park) in Zhuhai City, there is a monument called the Monument of Macau's Return. The Monument of Macau's Return records a brief history of Macau for the past hundred years, documenting significant recent...
[ "cold_start_9k/images/41439.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the picture, two ants start from point A. The big ant climbs from point A to point C via point D, while the small ant climbs from point A to point C via point B. The big ant climbs 30 centimeters per minute and reaches point C in 5 minutes. The small ant reaches poin...
[ "cold_start_9k/images/41467.jpg" ]
[ { "content": "<image>\nQuestion: On Sunday, Dongdong's family of four went to the zoo. The children's tickets cost 5.5 yuan each, and the adult tickets cost 8.5 yuan each. How much did they need to pay in total for the tickets?", "role": "user" }, { "content": "<perception>The image shows a family o...
[ "cold_start_9k/images/41468.jpg" ]
[ { "content": "<image>\nQuestion: Given the set and there is at least one odd number in set A, then there are _________ such sets.", "role": "user" }, { "content": "<perception>The image shows the mathematical expression \"A ⊆ {2, 3, 9}\". This indicates that set A is a subset of the set containing ...
[ "cold_start_9k/images/41471.jpg" ]
[ { "content": "<image>\nQuestion: Given the set , the number of subsets of set A is _________.", "role": "user" }, { "content": "<perception>The image shows a set A defined as A = {x ∈ N | 0 < x < 3}. This means A is the set of all natural numbers x such that x is greater than 0 and less than 3. Ther...
[ "cold_start_9k/images/41477.jpg" ]
[ { "content": "<image>\nQuestion: The distance from the focus to the directrix of the parabola is _____________", "role": "user" }, { "content": "<perception>The image shows the equation of a parabola: y^2 = 10x. This is a horizontal parabola with its vertex at the origin (0,0). The standard form of...
[ "cold_start_9k/images/41478.jpg" ]
[ { "content": "<image>\nQuestion: The constant term in the expansion of is ______ .", "role": "user" }, { "content": "<perception>The image shows the mathematical expression (1+x)(2x + 1/x)^5. It represents a polynomial expression where the second term is raised to the power of 5. The question asks ...
[ "cold_start_9k/images/41504.jpg" ]
[ { "content": "<image>\nQuestion: Solve \\( f(x) = \\), find \\( f(f(5)) = ______ \\).", "role": "user" }, { "content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = 2^(x-2) if x <= 2\nf(x) = log_2(x-1) if x > 2\nThe question asks to find f(f(5)).\n</perception>\n<rea...
[ "cold_start_9k/images/41507.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the cuboid ABCD-A₁B₁C₁D₁ is divided into three parts by two planes, among which EF∥GH∥BC. The number of prisms among these three geometric bodies is (__)", "role": "user" }, { "content": "<perception>The image shows a cuboid ABCD-A₁B₁C₁D₁. Two...
[ "cold_start_9k/images/41514.jpg" ]
[ { "content": "<image>\nQuestion: We arrange four identical cubic dice on the table as shown in the picture. Each face of the cubic dice is marked with the numbers 1, 2, 3, 4, 5, and 6. Based on the numbers provided in the picture, find the sum of the four numbers that are stuck to the table.", "role": "user...
[ "cold_start_9k/images/41544.jpg" ]
[ { "content": "<image>\nQuestion: The random variable \\textit{$$ξ$$} follows a normal distribution \\textit{$$N$$}$$(1,$$\\textit{$$σ$$}$${\\,\\!}^{2})$$. Given that $$P($$\\textit{$$ξ$$}$$ < 0)=0.3$$, find $$P($$\\textit{$$ξ$$}$$ < 2)=$$____.", "role": "user" }, { "content": "<perception>The image ...
[ "cold_start_9k/images/41547.jpg" ]
[ { "content": "<image>\nQuestion: If the sum of the monomial and -2x^{m}y^{3} is still a monomial, then the value of m - n is (___ ).", "role": "user" }, { "content": "<perception>The image shows the monomial (2/3)x^2y^n. The question states that the sum of this monomial and -2x^m y^3 is still a mono...
[ "cold_start_9k/images/41565.jpg" ]
[ { "content": "<image>\nQuestion: The number of zeros of the function is _______.", "role": "user" }, { "content": "<perception>The image shows the equation of a function: y = (1/2)|x| - sqrt(1-x^2) - 1. The question asks for the number of zeros of this function.</perception>\n<reasoning>The questio...
[ "cold_start_9k/images/41569.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, in △ABC, ∠A=50°, ∠C=72°, BD is an angle bisector of △ABC, find the measure of ∠ADB = ____ degrees.", "role": "user" }, { "content": "<perception>The image shows a triangle ABC. Inside the triangle, there is a line segment BD connecting vertex ...
[ "cold_start_9k/images/41572.jpg" ]
[ { "content": "<image>\nQuestion: Arrange the given 25 numbers into a table as shown in Figure 1. If each row of 5 numbers, from left to right, forms an arithmetic sequence and each column of 5 numbers, from top to bottom, also forms an arithmetic sequence, and the sum of all the numbers in the table is 50, then...
[ "cold_start_9k/images/41578.jpg" ]
[ { "content": "<image>\nQuestion: Here is the translation of your math problem:\n\nHow many rectangles with a length of 4 cm and a width of 3 cm are needed to form a square as shown below?", "role": "user" }, { "content": "<perception>The image shows a pattern of rectangles arranged in a stepped form...
[ "cold_start_9k/images/41586.jpg" ]
[ { "content": "<image>\nQuestion:", "role": "user" }, { "content": "<perception>The image shows two cartoon characters and two speech bubbles. The first character says \"Our grade has a total of 90 people.\" The second character asks \"If we divide them into 2 teams equally, and each team is divided ...
[ "cold_start_9k/images/41595.jpg" ]
[ { "content": "<image>\nQuestion: Given \\(0 < a < 1\\), the number of solutions to the equation is _______ .", "role": "user" }, { "content": "<perception>The image shows the equation a^x = log_2(x). The variable 'a' is raised to the power of 'x' on the left side, and the base-2 logarithm of 'x' is...
[ "cold_start_9k/images/41621.jpg" ]
[ { "content": "<image>\nQuestion: _=_______", "role": "user" }, { "content": "<perception>The image shows a mathematical expression: (1+tan 12°)(1+tan 22°)(1+tan 23°)(1+tan 33°). The expression consists of a product of four terms, each of the form (1 + tan(angle)), where the angles are 12°, 22°, 23°,...
[ "cold_start_9k/images/41640.jpg" ]
[ { "content": "<image>\nQuestion: Read the image. If N=5, then the output result S=___.", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by taking an input value N. It initializes two variables, T and S, to 1. Then, it enters a loop. Inside th...
[ "cold_start_9k/images/41644.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, given that the graph of the linear function $$y=ax+b$$ is a straight line, then the solution for $$x$$ in the equation $$ax+b=1$$ is $$x=$$ ______ .", "role": "user" }, { "content": "<perception>The image shows a straight line l in the xy-plan...
[ "cold_start_9k/images/41658.jpg" ]
[ { "content": "<image>\nQuestion: How many people are there in total?", "role": "user" }, { "content": "<perception>The image shows a group of children. There are 12 children in total. They are standing and some are holding drinks. </perception> <reasoning>I need to count the number of children in th...
[ "cold_start_9k/images/41672.jpg" ]
[ { "content": "<image>\nQuestion: The equation in terms of x has three distinct real roots, then the real number a = _________.", "role": "user" }, { "content": "<perception>The image shows the equation |x^2 - 4x + 3| - a = 0. This can be rewritten as |x^2 - 4x + 3| = a. The question asks for the va...
[ "cold_start_9k/images/41675.jpg" ]
[ { "content": "<image>\nQuestion: (2010 Yancheng Second Mock Test) According to the flowchart shown in the figure, if the input x=8, then the output k=____.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start), then takes an input x. It i...
[ "cold_start_9k/images/41678.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, a cylinder with a base circumference of 18.84 cm and a height of 6 cm is cut into several equal parts and assembled into an approximate rectangular cuboid. The volume of this rectangular cuboid is ____ cubic centimeters.", "role": "user" }, { ...
[ "cold_start_9k/images/41681.jpg" ]
[ { "content": "<image>\nQuestion: There are three different colored handkerchiefs. How many different ways can Xiaolin choose two out of the three?", "role": "user" }, { "content": "<perception>The image shows three cards, each with a different color written on it. The colors are red, yellow, and gre...
[ "cold_start_9k/images/41686.jpg" ]
[ { "content": "<image>\nQuestion: Find the area of the shaded region. (Unit: centimeters)", "role": "user" }, { "content": "<perception>The image shows a parallelogram with a triangle cut out of the center. The base of the parallelogram is 20 cm, and the height of the parallelogram (and the triangle)...
[ "cold_start_9k/images/41691.jpg" ]
[ { "content": "<image>\nQuestion: In order to implement the national \"Nutritional Breakfast\" project, a school cafeteria uses two types of ingredients, A and B, to prepare a certain kind of nutritional food. The vitamin C content and the prices for purchasing these two ingredients are shown in the table below:...
[ "cold_start_9k/images/41698.jpg" ]
[ { "content": "<image>\nQuestion: The situation of the root of the fractional equation is x=(___ ).", "role": "user" }, { "content": "<perception>The image shows a fractional equation: 2/(x-1) = 1/x.</perception>\n<reasoning>The given fractional equation is 2/(x-1) = 1/x. To solve this equation, we c...
[ "cold_start_9k/images/41706.jpg" ]
[ { "content": "<image>\nQuestion: At what point does the unfavorable line reach its highest point?", "role": "user" }, { "content": "<perception>The image is a line graph showing Jordanian views of Russia from 2007 to 2017. The y-axis represents the percentage of views, ranging from 0% to 100%. The x...
[ "cold_start_9k/images/41714.jpg" ]
[ { "content": "<image>\nQuestion: If each bucket has 5 yellow blocks, how many yellow blocks are in 7 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 labeled \"Number of yellow ...
[ "cold_start_9k/images/41719.jpg" ]
[ { "content": "<image>\nQuestion: (2016 Spring•Jinjiang City Final Exam) As shown in the figure, the segment AB, which is 4 cm long, is translated 6 cm in the direction from point A to point C to obtain the segment CD. What is the perimeter of quadrilateral ABDC in cm?", "role": "user" }, { "content"...
[ "cold_start_9k/images/41724.jpg" ]
[ { "content": "<image>\nQuestion: How much would it cost to buy 4.1 pounds of parchment scrap?", "role": "user" }, { "content": "<perception>The image shows a table with the prices of different types of scrap material. Fiber scrap costs $2 per lb, linen scrap costs $2 per lb, parchment scrap costs $2...
[ "cold_start_9k/images/41733.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the , ∠AOB = 85°, ∠AOC = 10°, and OD is the bisector of ∠BOC, then the degree measure of ∠BOD is (_____ ).", "role": "user" }, { "content": "<perception>The image shows five rays emanating from a common point O. The rays are labeled OA, OC, OD, OB, and OE...
[ "cold_start_9k/images/41736.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, each face of a cube has a real number written on it. It is known that the sum of the numbers on opposite faces is equal. If the numbers on the opposite faces of 13, 8, and -4 are x, y, and z respectively, then the value of 2x - 3y + z is ________.", "...
[ "cold_start_9k/images/41748.jpg" ]
[ { "content": "<image>\nQuestion: According to the flowchart on the right, the sum of all the printed data is _____.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). Then, A is initialized to 1. The next step is A = 2A + 1. Then, the...
[ "cold_start_9k/images/41763.jpg" ]
[ { "content": "<image>\nQuestion: How many unique x-values are there in the table?", "role": "user" }, { "content": "<perception>The image shows a table with two columns labeled 'x' and 'y'. The 'x' column contains the numbers 19, 6, and 7. The 'y' column contains the numbers 1, 19, and 8. The questi...
[ "cold_start_9k/images/41767.jpg" ]
[ { "content": "<image>\nQuestion: The equation = _________ _", "role": "user" }, { "content": "<perception>The image shows a mathematical expression. It defines three variables: a, b, and c. It states that a is not equal to 0, b is equal to a divided by the absolute value of a, and c is equal to the...
[ "cold_start_9k/images/41770.jpg" ]
[ { "content": "<image>\nQuestion: How many more tomatoes are there on 2 plants compared to 1 plant?", "role": "user" }, { "content": "<perception>The image shows a table with two columns. The first column is labeled \"Number of plants\" and the second column is labeled \"Number of tomatoes\". The fir...
[ "cold_start_9k/images/41782.jpg" ]
[ { "content": "<image>\nQuestion: How many customers waited for under 80 minutes, as monitored by the Technical Assistance Manager?", "role": "user" }, { "content": "<perception>The image is a stem-and-leaf plot showing technical assistance wait times in minutes. The stem represents the tens digit, a...
[ "cold_start_9k/images/41788.jpg" ]
[ { "content": "<image>\nQuestion: The function _________", "role": "user" }, { "content": "<perception>The image shows a mathematical expression. It defines a function f(x) as f(x) = ax + b sin x + 1. It also states that if f(5) = 7, then we need to find the value of f(-5). </perception>\n<reasoning>...
[ "cold_start_9k/images/41793.jpg" ]
[ { "content": "<image>\nQuestion: C and D are two points on the line segment AB, with point C being the midpoint of AD. AB equals 10cm, and AC equals 4cm. Calculate the length of DB.", "role": "user" }, { "content": "<perception>The image shows a line segment AB with two points C and D located on it....
[ "cold_start_9k/images/41800.jpg" ]
[ { "content": "<image>\nQuestion: If 10 pumpkin bars are eaten from 5 plates, how many pumpkin bars are left?", "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...
[ "cold_start_9k/images/41803.jpg" ]
[ { "content": "<image>\nQuestion: The program flowchart of a certain algorithm is shown in the diagram. If the input values are S=1 and a=5, then the output S=________. (Key point: program flowchart)", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program s...
[ "cold_start_9k/images/41807.jpg" ]
[ { "content": "<image>\nQuestion: During the May 1st holiday, a supermarket launched a promotional activity where customers who spent at least 30 yuan had a chance to spin a wheel (as shown in the image, the wheel is divided into 8 equal sections). If the pointer points to the number 8, the customer wins the fir...
[ "cold_start_9k/images/41815.jpg" ]
[ { "content": "<image>\nQuestion: _____________ .", "role": "user" }, { "content": "<perception>The image shows a mathematical expression involving logarithms. The expression is: log₂(4) - log₂(1/2) + log√₂(2) =. The expression consists of three logarithmic terms. The first term is log base 2 of 4. T...
[ "cold_start_9k/images/41831.jpg" ]
[ { "content": "<image>\nQuestion: (2012 Minhang District Third Model Test) If the solution set of the inequality <6 is (﹣1,+∞), then the real number a equals _____.", "role": "user" }, { "content": "<perception>The image shows a 2x2 matrix with elements x, 1, -2, and a. The matrix is enclosed in vert...
[ "cold_start_9k/images/41851.jpg" ]