messages listlengths 2 2 | images listlengths 1 1 |
|---|---|
[
{
"content": "<image>\nQuestion: Given that the augmented matrix of a system of linear equations is (), if the system has no solution, the value of the real number m is _____.",
"role": "user"
},
{
"content": "<perception>The image shows an augmented matrix with two rows and three columns. The first... | [
"cold_start_9k/images/56993.jpg"
] |
[
{
"content": "<image>\nQuestion: Read the following algorithm statement: The output result is ____.",
"role": "user"
},
{
"content": "<perception>The image shows an algorithm written in pseudocode. The algorithm initializes a variable S to 1. Then, a for loop iterates from I = 1 to 5 with a step of ... | [
"cold_start_9k/images/57000.jpg"
] |
[
{
"content": "<image>\nQuestion: Given a program flowchart as shown in the figure, to make the input value \\( x \\) equal to the output value \\( y \\), the number of such \\( x \\) values is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts wit... | [
"cold_start_9k/images/57005.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure: Points $$A$$, $$B$$, and $$C$$ represent the numbers $$a$$, $$b$$, and $$c$$ respectively. Simplify: $$|a-b|-\\sqrt{{{(c-b)}^{2}}}+\\sqrt{{{(a-c)}^{2}}}=\\_\\_\\_\\_\\_\\_\\_\\_$$.",
"role": "user"
},
{
"content": "<perception>The image shows... | [
"cold_start_9k/images/57029.jpg"
] |
[
{
"content": "<image>\nQuestion: The 5th term in the expansion of is a constant term. The value of the positive integer n is (____ ).",
"role": "user"
},
{
"content": "<perception>The image shows the expression (x - 1/x)^n. The problem asks for the value of the positive integer n such that the 5th ... | [
"cold_start_9k/images/57034.jpg"
] |
[
{
"content": "<image>\nQuestion: In a certain region, residential electricity consumption is billed according to time-of-use pricing, which is divided into peak and off-peak periods. The electricity price table for this region is as follows: If a household's electricity consumption in May is 200 kWh during pea... | [
"cold_start_9k/images/57037.jpg"
] |
[
{
"content": "<image>\nQuestion: A square piece of paper is folded twice as shown in the image, forming a smaller square. From the bottom right corner, along the dotted diagonal line, a corner is cut off (as shown in Figure 3). The cut piece actually consists of four small triangles. When the remaining part is ... | [
"cold_start_9k/images/57045.jpg"
] |
[
{
"content": "<image>\nQuestion: There are 9 white rabbits on the meadow, 4 of them ran away, how many rabbits are left on the meadow?\n (rabbits)\nAnswer: There are ________ rabbits left on the meadow.",
"role": "user"
},
{
"content": "<perception>The image shows a sequence of shapes and symbols. I... | [
"cold_start_9k/images/57054.jpg"
] |
[
{
"content": "<image>\nQuestion: The flowchart of a certain program is shown in the figure. The output (x, y) values are recorded sequentially as: (x_{1}, y_{1}), (x_{2}, y_{2}), …, (x_{n}, y_{n}), …; If an output array of the program contains (x, -10), then the value of x in the array is ______ .",
"role":... | [
"cold_start_9k/images/57071.jpg"
] |
[
{
"content": "<image>\nQuestion: The area of a rectangular lawn is equal to the area of a square lawn. What is the width (in meters) of the rectangular lawn?",
"role": "user"
},
{
"content": "<perception>The image shows a square and a rectangle. The square has a side length of 18 meters. The rectang... | [
"cold_start_9k/images/57109.jpg"
] |
[
{
"content": "<image>\nQuestion: Using square tiles of the same size in black and white to tile a rectangular floor. How many white tiles are needed for each rectangle of the same size? Following this pattern, how many white tiles are needed to tile the 7th rectangular floor?\n…",
"role": "user"
},
{
... | [
"cold_start_9k/images/57132.jpg"
] |
[
{
"content": "<image>\nQuestion: How many pages does this book have?__",
"role": "user"
},
{
"content": "<perception>The image shows a girl standing next to a book titled \"Fairy Tales\". The girl is saying \"I have read 26 pages, and there are 62 pages left to read.\"</perception>\n<reasoning>The q... | [
"cold_start_9k/images/57141.jpg"
] |
[
{
"content": "<image>\nQuestion: Below is the sales statistics chart of Dongfeng Motor in a certain car dealership in Dongguan City from 2009 to 2011. What is the average annual sales of this brand of cars from 2009 to 2011?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph show... | [
"cold_start_9k/images/57144.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total amount of money Estelle needs to purchase a bright blue desktop and a business laptop?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are: business laptop ($4,942.00), business desktop ($5,2... | [
"cold_start_9k/images/57151.jpg"
] |
[
{
"content": "<image>\nQuestion: How many more sets of adult clothes are there than children's clothes if there are 150 sets of children's clothes?",
"role": "user"
},
{
"content": "<perception>The image shows a bar graph comparing the number of children's clothes and adult clothes. The bar represen... | [
"cold_start_9k/images/57163.jpg"
] |
[
{
"content": "<image>\nQuestion: How much more does a train ticket to Baltimore cost than a train ticket to Boise?",
"role": "user"
},
{
"content": "<perception>The image shows a list of train ticket prices to different cities.\n- train ticket to Baltimore: $552.00\n- train ticket to Boston: $332.00... | [
"cold_start_9k/images/57169.jpg"
] |
[
{
"content": "<image>\nQuestion: If the following flowchart is executed, the output result will be _________.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with initializing i to 1 and S to 0. Then, it enters a loop. Inside the loop, S is updated by ... | [
"cold_start_9k/images/57184.jpg"
] |
[
{
"content": "<image>\nQuestion: How many students scored less than 50 points?",
"role": "user"
},
{
"content": "<perception>The image shows a stem-and-leaf plot of test scores. The stem represents the tens digit, and the leaf represents the ones digit. The data is as follows:\n- 2 | 7 (27)\n- 3 | ... | [
"cold_start_9k/images/57198.jpg"
] |
[
{
"content": "<image>\nQuestion: There are two water tanks, A and B (as shown in the figure). The depth of the water in Tank A is 18 centimeters. If this water is poured into Tank B, what will be the depth of the water?",
"role": "user"
},
{
"content": "<perception>The image shows two rectangular pr... | [
"cold_start_9k/images/57212.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the difference between the average percentage point gap for Party and the combined average percentage point gaps for Education and Age?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph titled \"Partisan gaps dwarf race, education, other ... | [
"cold_start_9k/images/57235.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, when the input value of $$x$$ is $$3$$, the output value of $$y$$ is ______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then \"Input x\". A decision box follows: \"x < 3?\". ... | [
"cold_start_9k/images/57261.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that F is the focus of the parabola C: , and A and B are two points on C, with the midpoint of the line segment AB being M(2,2), the area of the triangle △ABF is ________.",
"role": "user"
},
{
"content": "<perception>The image shows the equation of a parabola:... | [
"cold_start_9k/images/57283.jpg"
] |
[
{
"content": "<image>\nQuestion: If the flowchart shown in the image is executed, the output number $$S=$$ ______ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts by initializing two variables: i to 1 and S to 0. Then, it enters a loop. In... | [
"cold_start_9k/images/57284.jpg"
] |
[
{
"content": "<image>\nQuestion: If \\( f(x) = \\), then \\( f[f(-2)] = \\) ______ .",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = { x^2 if x >= 0\n { -x if x < 0\nThe question asks to evaluate f[f(-2)].</perception>\n<reasoning... | [
"cold_start_9k/images/57287.jpg"
] |
[
{
"content": "<image>\nQuestion: If each branch has 2 beetles, how many beetles are there in total on 3 branches?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of branches\" and the second column is labeled \"Number of beetl... | [
"cold_start_9k/images/57294.jpg"
] |
[
{
"content": "<image>\nQuestion: (Spring 2015, Haidian District Final Exam) Use red, yellow, and blue colors to paint the three squares shown in the figure. If each small square must be painted with one color, and the number of squares painted red is an even number, then the number of different coloring schemes... | [
"cold_start_9k/images/57299.jpg"
] |
[
{
"content": "<image>\nQuestion: If the function , then f(f(10)) = ____ .",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = x^2 + 1, if x <= 1\nf(x) = lg(x), if x > 1\nThe question asks to find the value of f(f(10)).</perception>\n<reasoni... | [
"cold_start_9k/images/57308.jpg"
] |
[
{
"content": "<image>\nQuestion: If the pattern continues, how many glass beads will be on 4 bracelets?",
"role": "user"
},
{
"content": "<perception>The image shows a table with two columns. The first column is labeled \"Number of bracelets\" and the second column is labeled \"Number of glass beads... | [
"cold_start_9k/images/57313.jpg"
] |
[
{
"content": "<image>\nQuestion: Calculate:",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: (-1)^5 * [-3^2 * (1/3 - 1)^2 - 2] * (-3/2). It involves exponents, fractions, and arithmetic operations. We need to evaluate this expression following the order of ope... | [
"cold_start_9k/images/57342.jpg"
] |
[
{
"content": "<image>\nQuestion: According to the following flowchart, calculate: if the input x = 5, how many operations ______ times are needed to stop.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then \"Input x\". Next, there is ... | [
"cold_start_9k/images/57345.jpg"
] |
[
{
"content": "<image>\nQuestion: A truck with a load capacity of 5 tons, after carrying 40 bags of rice, how many bags of flour can it still carry?",
"role": "user"
},
{
"content": "<perception>The image shows a truck with a load capacity of 5t (5 tons). There are bags of rice, each weighing 30kg, a... | [
"cold_start_9k/images/57346.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Brian need to buy two cat toys, one dog toy, and two jars of fish food?",
"role": "user"
},
{
"content": "<perception>The image shows a list of pet items and their prices. The list includes:\n- dog toy: $4.35\n- jar of fish food: $4.57\n- fish bow... | [
"cold_start_9k/images/57349.jpg"
] |
[
{
"content": "<image>\nQuestion: How many boxes can be filled in total?",
"role": "user"
},
{
"content": "<perception>The image shows a scene of people harvesting apples. There are a total of 360 apples. Each layer of a box contains 6 apples, and each box has 4 layers. The question asks how many box... | [
"cold_start_9k/images/57359.jpg"
] |
[
{
"content": "<image>\nQuestion: How many times the number of passengers in the large bus is the number of passengers in the car?",
"role": "user"
},
{
"content": "<perception>The image shows two vehicles: a car and a bus. The car has a speech bubble saying \"I have 4 passengers\". The bus has a spe... | [
"cold_start_9k/images/57360.jpg"
] |
[
{
"content": "<image>\nQuestion: The sequence {a_{n}} satisfies a_{n}=n. Read the program flowchart shown in the figure and run the corresponding program. If the input values are n=5, a_{n}=n, and x=2, then the output result v=____.",
"role": "user"
},
{
"content": "<perception>The image shows a flo... | [
"cold_start_9k/images/57362.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function , find the value of f(f(1)).",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = 2x + 2, if x <= 0\nf(x) = 2^x - 4, if x > 0\nThe question asks to find the value of f(f(1)).</perception>\n<... | [
"cold_start_9k/images/57369.jpg"
] |
[
{
"content": "<image>\nQuestion: = ___________.",
"role": "user"
},
{
"content": "<perception>The image contains a mathematical expression: 2log₅¹⁰ + log₅⁰·²⁵. It consists of two logarithmic terms with base 5. The first term is 2 multiplied by the logarithm of 10 to the base 5. The second term is th... | [
"cold_start_9k/images/57388.jpg"
] |
[
{
"content": "<image>\nQuestion: How many streets have more than 5 fire hydrants?",
"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 number of fire ... | [
"cold_start_9k/images/57396.jpg"
] |
[
{
"content": "<image>\nQuestion: In the book “Shushu Jiuzhang,” the famous mathematician Qin Jiushao from the Southern Song Dynasty in China presented the well-known Qin Jiushao formula, also called the Three-Slope Area Formula. If the lengths of the three sides of a triangle are \\(a\\), \\(b\\), and \\(c\\) r... | [
"cold_start_9k/images/57398.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, Xiao Ming starts from point A and moves straight ahead for 20 meters, then turns 30° to the left and continues straight for 20 meters, and then turns 30° to the left again... Continuing in this manner, the first time Xiao Ming returns to the starting poin... | [
"cold_start_9k/images/57411.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the flowchart on the right, and the output value of \\textit{S} is (_)",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with initializing S to 0 and i to 1. Then, it enters a loop. Inside the loop, S is updated t... | [
"cold_start_9k/images/57414.jpg"
] |
[
{
"content": "<image>\nQuestion: How many meters did Xiaoming run from the first tree to the sixth tree in total?\n\nThe distance between every two trees is 4 meters.",
"role": "user"
},
{
"content": "<perception>The image shows a row of six trees planted along a straight line. The problem states th... | [
"cold_start_9k/images/57439.jpg"
] |
[
{
"content": "<image>\nQuestion: Complete the following problem-solving steps:\nAs shown in the figure, given that AB∥DE, ∠B=80°, ∠D=140°, find the degree measure of ∠BCD.\nSolution: As shown in the figure, draw GH through point C parallel to DE.\n∴∠D+∠DCH=180° (____)\n∴∠DCH=180°-∠D=180°-140°=40°\nAs AB∥DE (giv... | [
"cold_start_9k/images/57444.jpg"
] |
[
{
"content": "<image>\nQuestion: On a 5 cm long ruler, there are 2 marks (as shown in the figure). It can measure ____ different lengths at a time.",
"role": "user"
},
{
"content": "<perception>\nThe image shows a ruler marked with 0, 1, 3, and 5. The ruler is divided into three segments. The first ... | [
"cold_start_9k/images/57451.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. To find the area of the triangle formed by this line and the coordinate axes, w... | [
"cold_start_9k/images/57458.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, Xiao Ming and Xiao Hua use matchsticks to build triangles and squares continuously, with a shared side using only one matchstick. If they used a total of 222 matchsticks to build the triangles and squares, and the number of triangles is 5 less than the nu... | [
"cold_start_9k/images/57466.jpg"
] |
[
{
"content": "<image>\nQuestion: How much more does a hammock cost than a coffee table?",
"role": "user"
},
{
"content": "<perception>The image shows a table with the prices of different furniture items. A couch costs $848, a chest of drawers costs $166, a hammock costs $109, and a coffee table cost... | [
"cold_start_9k/images/57470.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, point $$A$$ initially starts at the origin on the number line. The movements of point $$A$$ are as follows: the 1st time, it moves 1 unit to the right from the origin to point $$B$$; the 2nd time, it moves 3 units to the left from point $$B$$ to point $$C... | [
"cold_start_9k/images/57473.jpg"
] |
[
{
"content": "<image>\nQuestion: :\n\nTake a rectangular piece of white paper with a length of $$20cm$$ and a width of $$8cm$$, and glue it together as shown in the diagram. The width of the glued part is $$3cm$$.\n\n$$(1)$$ According to the question, complete the table below.\n \\frac{ }$$(2)$$ Directly wr... | [
"cold_start_9k/images/57478.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the flow chart represents the cost \\( c \\) (unit: Yuan) of luggage transportation between locations A and B and the weight \\( w \\) (unit: kg) of the luggage. Assuming a passenger's transportation fee is 10 Yuan, the weight of the luggage transported b... | [
"cold_start_9k/images/57487.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart shown in the image, the output value of k is (__)",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing k to 1. Then, it enters a loop. Inside the loop, k is updated ... | [
"cold_start_9k/images/57488.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, there are three pegs and 5 metal pieces of decreasing size from top to bottom on one peg. According to the following rules, move all the metal pieces from one peg to another, one piece at a time, and during the process, a larger metal piece cannot be plac... | [
"cold_start_9k/images/57500.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function ________",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression. It defines a function f(x) as (x+1)/(x-1). It then asks to find the value of f(2). </perception>\n<reasoning>The image defines the function f(x) = (x... | [
"cold_start_9k/images/57507.jpg"
] |
[
{
"content": "<image>\nQuestion: If each table contains 10 pink highlighters, how many pink highlighters are there in total on 4 tables?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of tables\" and the second column is labe... | [
"cold_start_9k/images/57529.jpg"
] |
[
{
"content": "<image>\nQuestion: In the right triangle ABC, ∠B=90°, ∠A=30°, DE is the perpendicular bisector of AC, intersecting AC at point E and intersecting AB at point D. Connect CD, and if BD=2, then the length of AD is _____.",
"role": "user"
},
{
"content": "<perception>The image shows a righ... | [
"cold_start_9k/images/57531.jpg"
] |
[
{
"content": "<image>\nQuestion: Define a function \\( f(x) \\) on \\( \\mathbb{R} \\) such that \\( f(x) = \\). Then \\( f(2014) = \\) ________.",
"role": "user"
},
{
"content": "<perception>The image shows the definition of a piecewise function f(x). For x <= 0, f(x) = log2(1-x). For x > 0, f(x) ... | [
"cold_start_9k/images/57541.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 \"开始\" (Start). Then, it initializes two variables: k = 1 and i = 1.\nThe flowchart the... | [
"cold_start_9k/images/57562.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the length of the rectangle is 10 cm, and the width is 8 cm. The area of part ① is 15 cm². Find the area of the shaded part.",
"role": "user"
},
{
"content": "<perception>The image shows a rectangle with a diagonal line dividing it into two pa... | [
"cold_start_9k/images/57577.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the total of the average percentage point gaps for Race, Religious attendance, Education, Age, and Gender?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph titled \"Partisan gaps dwarf race, education, other differences in political valu... | [
"cold_start_9k/images/57585.jpg"
] |
[
{
"content": "<image>\nQuestion: The area of the square shown in the image is 25 square centimeters, and the area of the triangle is ____ square centimeters.",
"role": "user"
},
{
"content": "<perception>The image shows a composite shape made of a square and a right triangle. The square is on the le... | [
"cold_start_9k/images/57599.jpg"
] |
[
{
"content": "<image>\nQuestion: In a certain program flowchart as shown in the image, when the input is $$50$$, the result output by the program after the computation is ______ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts by taking an ... | [
"cold_start_9k/images/57611.jpg"
] |
[
{
"content": "<image>\nQuestion: How many bricks are needed to build a 20m long, 0.2m thick, and 3m high brick wall for Xiaohua's family?",
"role": "user"
},
{
"content": "<perception>The image shows a brick wall and a boy saying \"520 bricks per cubic meter\". The question asks how many bricks are ... | [
"cold_start_9k/images/57614.jpg"
] |
[
{
"content": "<image>\nQuestion: If point \\textit{P} is on curve \\(C_{1}:\\), point \\textit{Q} is on curve \\(C_{2}:(x-5)^{2}+y^{2}=1\\), and point \\textit{R} is on curve \\(C_{3}:(x+5)^{2}+y^{2}=1\\), then the maximum value of \\( | PQ | - | PR | \\) is _______.",
"role": "user"
},
{
"content":... | [
"cold_start_9k/images/57637.jpg"
] |
[
{
"content": "<image>\nQuestion: If the value of the fraction is 0, then the value of x is _.",
"role": "user"
},
{
"content": "<perception>The image shows a fraction. The numerator is x squared minus 1, and the denominator is x minus 1. The fraction is (x^2 - 1) / (x - 1). </perception>\n<reasonin... | [
"cold_start_9k/images/57642.jpg"
] |
[
{
"content": "<image>\nQuestion: (2013 Autumn • Ganjingzi District Final) As shown in the figure, if point A is moved 3 units to the left, the number represented by the resulting point is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a number line. The number line has an arrow ... | [
"cold_start_9k/images/57643.jpg"
] |
[
{
"content": "<image>\nQuestion: It takes 5 minutes to saw a piece of wood into 2 sections. How many minutes does it take to saw it into 3 sections?",
"role": "user"
},
{
"content": "<perception>The image shows a long rectangular object with three vertical lines dividing it into four sections. The l... | [
"cold_start_9k/images/57655.jpg"
] |
[
{
"content": "<image>\nQuestion: In the figure, the length of the rectangle is 5 and the width is 2. If 300 soybeans are randomly sprinkled inside the rectangle, and 138 beans are counted in the shaded part, then we can estimate the area of the shaded part as _________.",
"role": "user"
},
{
"conten... | [
"cold_start_9k/images/57657.jpg"
] |
[
{
"content": "<image>\nQuestion: .",
"role": "user"
},
{
"content": "<perception>The image shows an equation: (7-5y)/6 = 1 - (3y-1)/4. The equation involves fractions with variables in the numerator. The goal is likely to solve for the variable 'y'.</perception>\n<reasoning>The image presents an equ... | [
"cold_start_9k/images/57660.jpg"
] |
[
{
"content": "<image>\nQuestion: (2013 Autumn • Pingjiang County School-level Midterm Exam) As shown in the figure, the perimeter of the parallelogram ABCD is 30 cm, and the perimeter of △ABD is 24 cm. Then the length of diagonal BD is ____.",
"role": "user"
},
{
"content": "<perception>The image sh... | [
"cold_start_9k/images/57672.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the amount of money that Sandra spent on December 29, based on her complete financial record for December?",
"role": "user"
},
{
"content": "<perception>The image is a table showing Sandra's financial record for December. The table has columns for Date, Descr... | [
"cold_start_9k/images/57688.jpg"
] |
[
{
"content": "<image>\nQuestion: Given |a|=2, |b|=2, |c|=3, and the positions of the rational numbers a, b, and c on the number line are shown as in the figure, calculate the value of a + b + c. \n_",
"role": "user"
},
{
"content": "<perception>The image shows a number line with three points labeled... | [
"cold_start_9k/images/57690.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the distance from a point P on the ellipse to one of the foci is 3, 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 = 1. The equation is in the... | [
"cold_start_9k/images/57692.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the graph of \\( y = kx + b \\) is given. Then the solution to the equation \\( kx + b = 0 \\) is \\( x = \\_ \\)",
"role": "user"
},
{
"content": "<perception>The image shows a straight line in a coordinate plane. The line intersects the y-ax... | [
"cold_start_9k/images/57695.jpg"
] |
[
{
"content": "<image>\nQuestion: Follow the operations as shown in the flowchart. If the input x = 8, then the output k = ______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then \"Input x\". Next, \"k = 0\". Then there is a loop. I... | [
"cold_start_9k/images/57697.jpg"
] |
[
{
"content": "<image>\nQuestion: The degree of the polynomial is _________.",
"role": "user"
},
{
"content": "<perception>The image shows a polynomial expression: -2x^2y - xy + 2^5. The first term is -2x^2y, which has a degree of 2+1=3. The second term is -xy, which has a degree of 1+1=2. The third... | [
"cold_start_9k/images/57699.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in the right triangle $$Rt\\triangle ABC$$, $$∠C=90^{\\circ}$$, $$D$$ is a point on $$AC$$, and $$DA=DB=5$$. Also, the area of $$\\triangle DAB$$ is $$10$$. What is the length of $$DC$$?",
"role": "user"
},
{
"content": "<perception>The image ... | [
"cold_start_9k/images/57709.jpg"
] |
[
{
"content": "<image>\nQuestion: The number in the brackets is (_)",
"role": "user"
},
{
"content": "<perception>The image shows a green tree with mathematical equations written on its leaves. The equations follow a pattern:\n3. 6 ÷ 0.4 = 9\n4. 6 ÷ 0.4 = 99\n5. 6 ÷ 0.4 = 999\n( ) ÷ 0.4 = 99999\n\... | [
"cold_start_9k/images/57738.jpg"
] |
[
{
"content": "<image>\nQuestion: (2006 Autumn•Changzhou Final Exam) As shown in the figure: Points A, O, B are on the same line, OD⊥OC, ∠1=35°, ∠2=____°.",
"role": "user"
},
{
"content": "<perception>The image shows a diagram with points A, O, and B lying on a straight line. There are two rays, OC a... | [
"cold_start_9k/images/57739.jpg"
] |
[
{
"content": "<image>\nQuestion: The units digit of is (__).",
"role": "user"
},
{
"content": "<perception>\nThe image shows a mathematical expression. It is a product of 1988 factors of 3, then subtract 1. The expression is: 3 x 3 x 3 x ... x 3 - 1, where there are 1988 '3's being multiplied toget... | [
"cold_start_9k/images/57747.jpg"
] |
[
{
"content": "<image>\nQuestion: (2008 autumn • Changchun school-level final) By cutting equal-sized squares from the four corners of a square cardboard with a side length of 30 cm, and folding its edges along the dashed lines (as shown in the diagram), an open-top square-bottom box is formed. When the side len... | [
"cold_start_9k/images/57750.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the following math problem translated into English:\n\nA set \\textit{A} satisfies: if a real number \\textit{a}∈\\textit{A}, then ∈\\textit{A}. Given that \\textit{a = }2∈\\textit{A}, the number of elements in the set \\textit{A} is at least ____.",
"role": "user"
}... | [
"cold_start_9k/images/57755.jpg"
] |
[
{
"content": "<image>\nQuestion: The three views of a spatial geometric figure are shown in the figure. The volume of this geometric figure is ______.",
"role": "user"
},
{
"content": "<perception>The image shows the three views of a spatial geometric figure: a front view, a side view, and a top vie... | [
"cold_start_9k/images/57758.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the height \\( h \\) (meters) of an object thrown by a person changes with time \\( t \\) (seconds). From the graph, it can be seen that the height at the moment the object is released is (____) meters.",
"role": "user"
},
{
"content": "<perce... | [
"cold_start_9k/images/57759.jpg"
] |
[
{
"content": "<image>\nQuestion: In class, Teacher Wang gave everyone the following problem:\n\"When \\( x = -1 \\), find the value of the algebraic expression.\" Xiaoming looked at it and thought, \"This is too complicated, how should I calculate it?\" Can you help Xiaoming solve this problem? Please write out... | [
"cold_start_9k/images/57774.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a park has designed a festive flower arrangement plan, where one flower bed is formed by stacking flower pots into a hexagonal pile. The top layer has one pot, and each subsequent layer forms a regular hexagon, with each side having one additional pot com... | [
"cold_start_9k/images/57775.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, point \\( C \\) is the midpoint of segment \\( AD \\), \\( AB = 10 \\text{ cm} \\), and \\( BD = 4 \\text{ cm} \\). Then \\( BC = \\) ______ \\( \\text{cm} \\).",
"role": "user"
},
{
"content": "<perception>The image shows a line segment AB wi... | [
"cold_start_9k/images/57780.jpg"
] |
[
{
"content": "<image>\nQuestion: In an arithmetic sequence {a_{n}}, a_{1} = -2008, and the sum of the first n terms is S_{n}. If , then S_{2008} = (__ ).",
"role": "user"
},
{
"content": "<perception>The image shows the equation $\\frac{S_{2007}}{2007} - \\frac{S_{2005}}{2005} = 2$. This equation re... | [
"cold_start_9k/images/57783.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, point D is on BC, AB⊥BC, EC⊥BC, AD⊥DE, and AD=DE, AB=3, EC=5. Find the length of BC (__).",
"role": "user"
},
{
"content": "<perception>The image shows two right triangles, triangle ABD and triangle DCE, sharing a common side BC. AB is perpend... | [
"cold_start_9k/images/57784.jpg"
] |
[
{
"content": "<image>\nQuestion: The coefficient of \\( x^4 \\) in the expansion of is _______.",
"role": "user"
},
{
"content": "<perception>The image contains a mathematical expression: (1 + x)(1 - x)^5. The question asks for the coefficient of x^4 in the expansion of this expression.</perception... | [
"cold_start_9k/images/57792.jpg"
] |
[
{
"content": "<image>\nQuestion: If Florence gives away half of her peonies, how many will she have left?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Flowers\". The table has two columns: \"Type\" and \"Frequency\". The rows list the flower type and the corresponding ... | [
"cold_start_9k/images/57807.jpg"
] |
[
{
"content": "<image>\nQuestion: (2007 Autumn • Guizhou Final Exam) The image shows a frequency distribution histogram of the ages of all students in a class. Based on the information provided in the graph, the average age of the students in this class is ____. (Keep the result to 3 significant figures)",
"... | [
"cold_start_9k/images/57815.jpg"
] |
[
{
"content": "<image>\nQuestion: The Art of Side Dishes.",
"role": "user"
},
{
"content": "<perception>The image shows a menu for Tuesday, which includes two meat dishes (荤菜): shredded pork (肉丝) and beef (牛肉), and two vegetable dishes (素菜): cabbage (白菜) and bean sprouts (豆芽). A boy is saying that a ... | [
"cold_start_9k/images/57816.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function \\( f(x) = \\), find \\( f(f(-4)) \\).",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = x+1, if x >= 0\nf(x) = x^2 - 4, if x < 0\nThe question asks to find f(f(-4)).</perception>\n<reas... | [
"cold_start_9k/images/57841.jpg"
] |
[
{
"content": "<image>\nQuestion: How much would it cost to buy 5 kilograms of blueberry applesauce?",
"role": "user"
},
{
"content": "<perception>The image shows a list of applesauce flavors and their prices per kilogram. Raspberry applesauce costs $2.56 per kilogram. Blueberry applesauce costs $2.5... | [
"cold_start_9k/images/57847.jpg"
] |
[
{
"content": "<image>\nQuestion: As depicted, points $$A$$ and $$B$$ lie on the hyperbola $$y= \\dfrac {4}{x}$$. Perpendicular lines are drawn from points $$A$$ and $$B$$ to the axes. Given that the shaded area $$S_{shaded}=1$$, determine the value of $$S_{1}+S_{2}=$$ ______ .",
"role": "user"
},
{
... | [
"cold_start_9k/images/57862.jpg"
] |
[
{
"content": "<image>\nQuestion: __________________",
"role": "user"
},
{
"content": "<perception>The image shows the trigonometric identity sin²x + cos²x =. It is an incomplete equation. The task is to complete the equation.\n</perception>\n<reasoning>The image shows the trigonometric identity sin²... | [
"cold_start_9k/images/57869.jpg"
] |
[
{
"content": "<image>\nQuestion: If Mario's Pizzeria sold twice as many slices, how many slices would that be?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Pizza slices sold\". The table has two columns: \"Restaurant\" and \"Number of slices sold\". The restaurants lis... | [
"cold_start_9k/images/57878.jpg"
] |
[
{
"content": "<image>\nQuestion: If the power function = _______ 。",
"role": "user"
},
{
"content": "<perception>The image shows the text \"y = f(x)的图象经过点(2.√2),则f(9)\". This translates to \"The graph of y = f(x) passes through the point (2, √2), then f(9) = ?\". This implies that f(x) is a power f... | [
"cold_start_9k/images/57882.jpg"
] |
[
{
"content": "<image>\nQuestion: The coefficient of is __________ (answer with a number).",
"role": "user"
},
{
"content": "<perception>The image contains a mathematical expression: \"(1+x)(1-x)^5展开式中x^4\". This expression asks for the coefficient of x^4 in the expansion of (1+x)(1-x)^5.</perceptio... | [
"cold_start_9k/images/57959.jpg"
] |
[
{
"content": "<image>\nQuestion: According to the figure, the output result is ________.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). Then, it initializes two variables: T = 1 and I = 1. The flowchart then enters a loop. Inside ... | [
"cold_start_9k/images/57979.jpg"
] |
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