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[ { "content": "<image>\nQuestion: Find the area of the shaded region. (Unit: cm)", "role": "user" }, { "content": "<perception>The image shows a rectangle containing three triangles. The rectangle has a height of 3.2 cm and a width of 5.4 cm. The three triangles are shaded. The bases of the three tri...
[ "cold_start_9k/images/63557.jpg" ]
[ { "content": "<image>\nQuestion: Let _____.", "role": "user" }, { "content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = 3e^(x-1) if x < 2\nf(x) = log_3(x^2 - 1) if x >= 2\nThe question asks to find the value of f(f(2)).</perception>\n<reasoning>First, we need to fi...
[ "cold_start_9k/images/63559.jpg" ]
[ { "content": "<image>\nQuestion: The image shows the route of Uncle Wang's bicycle trip. On the first day, Uncle Wang travels from A to B. On the second day, he travels from B through C to D. On the third day, he travels from D to E. What is the average distance he travels each day in kilometers?", "role": ...
[ "cold_start_9k/images/63585.jpg" ]
[ { "content": "<image>\nQuestion: The output value of the program flowchart shown in the right image is ___ .", "role": "user" }, { "content": "<perception>The image shows a flowchart for a program. The program initializes two variables: S to 0 and i to 1. The program then enters a loop that continue...
[ "cold_start_9k/images/63591.jpg" ]
[ { "content": "<image>\nQuestion: When was the value of multifactor productivity more similar between the two countries?", "role": "user" }, { "content": "<perception>The image is a line graph comparing the multifactor productivity of Denmark and the Netherlands from 2008 to 2016. The x-axis represen...
[ "cold_start_9k/images/63636.jpg" ]
[ { "content": "<image>\nQuestion: A high school has 300 boys and 200 girls in the first year, 400 boys and 300 girls in the second year, and 450 boys and 350 girls in the third year. Now, the school is selecting some students to conduct a survey on their extracurricular reading habits. Knowing that the probabili...
[ "cold_start_9k/images/63637.jpg" ]
[ { "content": "<image>\nQuestion: The embroidery of a certain ethnic minority has a long history. Figures (1)(2)(3)(4) show their simplest embroidery patterns, which are made up of small squares. The more small squares there are, the more beautiful the embroidery is. According to the same pattern of arrangement ...
[ "cold_start_9k/images/63643.jpg" ]
[ { "content": "<image>\nQuestion: (Autumn 2014, Yancheng school-level final) As shown in the figure, in △ABC, ∠B=90°, AB=5, BC=12, AC=13. The distance from point A to the line on which BC lies is ____.", "role": "user" }, { "content": "<perception>The image shows a right triangle ABC, with angle B be...
[ "cold_start_9k/images/63658.jpg" ]
[ { "content": "<image>\nQuestion: Execute the following flowchart program. If the input value of ε is 0.25, then the output value of n is ______.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then takes an input ε (ε > 0). It initializ...
[ "cold_start_9k/images/63673.jpg" ]
[ { "content": "<image>\nQuestion: The sum of the three numbers in the rectangular box is 6. By moving this box, it is possible to make the sum of the three numbers in the box different each time. A total of ____ different sums can be obtained.", "role": "user" }, { "content": "<perception>The image s...
[ "cold_start_9k/images/63682.jpg" ]
[ { "content": "<image>\nQuestion: (____ )", "role": "user" }, { "content": "<perception>The image shows the mathematical expression \"-√9 =\". It asks to evaluate the expression. </perception>\n<reasoning>The expression is asking for the negative square root of 9. The square root of 9 is 3, so the ne...
[ "cold_start_9k/images/63683.jpg" ]
[ { "content": "<image>\nQuestion: What is the total number of trips made to the library last month by the residents?", "role": "user" }, { "content": "<perception>The image is a table titled \"Going to the library last month\". The table has two columns: \"Number of trips\" and \"Frequency\". The row...
[ "cold_start_9k/images/63692.jpg" ]
[ { "content": "<image>\nQuestion: Given that $$s∩ $$ is the sum of the first $$n $$ terms of an arithmetic sequence, if , then the common difference of the sequence $$\\left\\{an\\right\\} $$ is __________.", "role": "user" }, { "content": "<perception>The image contains the equation $S_5 = 5a_4 - 10...
[ "cold_start_9k/images/63709.jpg" ]
[ { "content": "<image>\nQuestion: Let $$a{\\neq}0, n$$ be a natural number greater than $$1$$. The expansion of $$(1{+}\\dfrac{x}{a})^{n}$$ is $$a_{0}{+}a_{1}x{+}a_{2}x^{2}{+}{…}{+}a_{n}x^{n}{.}$$ If the points $$A_{i}(i{,}a_{i})(i{=}0{,}1{,}2)$$ are positioned as shown in the image, then $$a{=}$$ ______ .", ...
[ "cold_start_9k/images/63710.jpg" ]
[ { "content": "<image>\nQuestion: If the random variable __________.", "role": "user" }, { "content": "<perception>The image shows a mathematical expression related to normal distribution. It states that a random variable X follows a normal distribution with mean 0 and variance σ². It also provides t...
[ "cold_start_9k/images/63716.jpg" ]
[ { "content": "<image>\nQuestion: The length of the chord cut by the circle x^2 + y^2 = 4 from the line l: is __ ▲__.", "role": "user" }, { "content": "<perception>The image shows the equation \"x - y = 0\". This is a linear equation representing a straight line.\n</perception> <reasoning>The questio...
[ "cold_start_9k/images/63724.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, an equilateral triangle $$\\triangle ABC$$ with a side length of 2 units is translated 1 unit to the right along the side $$BC$$ to obtain $$\\triangle DEF$$. Then, the perimeter of the quadrilateral $$ABFD$$ is ______________ units.\n __", "role": "u...
[ "cold_start_9k/images/63733.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the capacity of the large bottle of juice is 1.5 liters. Each small cup has a capacity of 200 milliliters. After filling 6 small cups, how many milliliters are left in the large bottle?", "role": "user" }, { "content": "<perception>The image s...
[ "cold_start_9k/images/63771.jpg" ]
[ { "content": "<image>\nQuestion: In the flowchart shown in the image, if you input 3, the result will be __________.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then \"Input n\". After that, it initializes s=1 and k=1. Then there is...
[ "cold_start_9k/images/63784.jpg" ]
[ { "content": "<image>\nQuestion: Given , then f(3) is (__).", "role": "user" }, { "content": "<perception>The image shows a piecewise function definition for f(x). The function is defined as f(x) = x - 5 when x is greater than or equal to 6, and f(x) = f(x+2) when x is less than 6.</perception>\n<re...
[ "cold_start_9k/images/63787.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the pattern consists of Go pieces arranged in a specific pattern. In the first row, there is one black piece and one white piece. In the second row, there are three black pieces and two white pieces. In the third row, there are five black pieces and three...
[ "cold_start_9k/images/63789.jpg" ]
[ { "content": "<image>\nQuestion: The sum of the digits in the four blanks in the equation shown in the figure is ____.", "role": "user" }, { "content": "<perception>The image shows a multiplication problem with two two-digit numbers being multiplied. The result of the multiplication is 2345. The two...
[ "cold_start_9k/images/63799.jpg" ]
[ { "content": "<image>\nQuestion: Can you fill in the missing numbers on Zhao Ming's ID card?\n(1) The missing number is ____.\n(2) What other information did you find?", "role": "user" }, { "content": "<perception>The image shows a cartoon ID card for a person named Zhao Ming. The ID card includes t...
[ "cold_start_9k/images/63801.jpg" ]
[ { "content": "<image>\nQuestion: The flowchart of a certain program is shown in the figure. If the output a=161, then the input N=____.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\", then \"Input N\". It initializes a=1 and k=1. Then i...
[ "cold_start_9k/images/63815.jpg" ]
[ { "content": "<image>\nQuestion: Xiaocong uses a ruler to draw the bisector of a given angle, as shown in the diagram. He measures AB=AC and AE=AF on both sides of ∠MAN, connects FC and EB, which intersect at point D, and then draws ray AD. How many pairs of congruent triangles are there in the diagram?", "...
[ "cold_start_9k/images/63821.jpg" ]
[ { "content": "<image>\nQuestion: What is the total number of magazines sold over the four months?", "role": "user" }, { "content": "<perception>The image is a table showing the number of magazines sold over four months: April, May, June, and July. The table has two columns: \"Month\" and \"Number of...
[ "cold_start_9k/images/63827.jpg" ]
[ { "content": "<image>\nQuestion: To prove the inequality \\(\\) using mathematical induction, the first step is to verify that the inequality holds when \\(n=____\\).", "role": "user" }, { "content": "<perception>The image shows the inequality \\(1 + \\frac{1}{2} + \\frac{1}{4} + \\dots + \\frac{1}{...
[ "cold_start_9k/images/63831.jpg" ]
[ { "content": "<image>\nQuestion: Execute the flowchart as shown in the image, the output value of k is ______.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with initializing k to 1 and S to 3. Then, it enters a loop. Inside the loop, S is updated to...
[ "cold_start_9k/images/63843.jpg" ]
[ { "content": "<image>\nQuestion: (Autumn 2012, Yangxin County Midterm School Level) As shown in the diagram, in the right-angled triangle, the length of the unknown side x = ____.", "role": "user" }, { "content": "<perception>The image shows a right-angled triangle. The lengths of two sides are give...
[ "cold_start_9k/images/63844.jpg" ]
[ { "content": "<image>\nQuestion: The minimum value of the parabola is _____ .", "role": "user" }, { "content": "<perception>The image shows the equation of a parabola: y = x^2 + 1. The parabola opens upwards since the coefficient of the x^2 term is positive (1). Therefore, the parabola has a minimu...
[ "cold_start_9k/images/63852.jpg" ]
[ { "content": "<image>\nQuestion: What is the total number of hammers sold in the past 5 days?", "role": "user" }, { "content": "<perception>The image is a table titled \"Hammers sold\". The table has two columns: \"Day\" and \"Number of hammers\". The rows are: Tuesday (7 hammers), Wednesday (7 hamm...
[ "cold_start_9k/images/63855.jpg" ]
[ { "content": "<image>\nQuestion: What is the percentage value of the segment labeled Too much?", "role": "user" }, { "content": "<perception>The image is a pie chart titled \"A plurality of Americans say NATO does too little globally\". The chart shows the results of a survey asking U.S. adults abou...
[ "cold_start_9k/images/63884.jpg" ]
[ { "content": "<image>\nQuestion: The life committee of a certain class created a bar chart representing the age distribution of all the students in the class, as shown in the figure. The total number of students in the class is ______.", "role": "user" }, { "content": "<perception>The image is a bar...
[ "cold_start_9k/images/63886.jpg" ]
[ { "content": "<image>\nQuestion: Execute the program flowchart as shown in the image, then the output number S = ____", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by initializing two variables: i = 1 and S = 0. Then, it enters a loop. Ins...
[ "cold_start_9k/images/63887.jpg" ]
[ { "content": "<image>\nQuestion: There are five warehouses on a ring road (as shown in the figure), with numbers indicating the length of each section in kilometers. Warehouse A stores 50 tons of grain, Warehouse B stores 5 tons, Warehouse C stores 10 tons, and Warehouse D stores 35 tons. We need to adjust the ...
[ "cold_start_9k/images/63892.jpg" ]
[ { "content": "<image>\nQuestion: Use the independence test to determine whether the two categorical variables X and Y are related. Refer to the table to determine the confidence level for the relationship between X and Y. To investigate whether computer usage time is related to vision decline, a survey of 100 r...
[ "cold_start_9k/images/63894.jpg" ]
[ { "content": "<image>\nQuestion: If \\(a > 0, b > 0\\), and the function has an extremum, then the maximum value of \\(ab\\) is _____.", "role": "user" }, { "content": "<perception>The image shows the equation \"f(x) = 4x³ - ax² - 2bx + 2 在 x = 1\". This translates to \"f(x) = 4x³ - ax² - 2bx + 2 a...
[ "cold_start_9k/images/63905.jpg" ]
[ { "content": "<image>\nQuestion: Three frogs can eat 672 pests in 4 days. On average, how many pests can one frog eat in one day?", "role": "user" }, { "content": "<perception>The image shows a cartoon character saying \"Frogs can eliminate pests, we must protect frogs!\". This highlights the benefi...
[ "cold_start_9k/images/63906.jpg" ]
[ { "content": "<image>\nQuestion: Execute the flowchart shown in the image, and the output value of S is ______", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by initializing two variables: S to 0 and i to 1. Then, it enters a loop. Inside t...
[ "cold_start_9k/images/63912.jpg" ]
[ { "content": "<image>\nQuestion: \\textbf{(12 points) Find the maximum value of .}_", "role": "user" }, { "content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = 4x + 3, if x <= 0\nf(x) = x + 3, if 0 < x <= 1\nf(x) = -x + 5, if x > 1\nThe question asks to find the ma...
[ "cold_start_9k/images/63920.jpg" ]
[ { "content": "<image>\nQuestion: The algorithm described by the flowchart in the figure is known as the Euclidean Algorithm for computing the greatest common divisor (GCD). If the input values are m=2010 and n=1541, then the output m=____. (Note: The assignment symbol \"=\" in the flowchart can also be written ...
[ "cold_start_9k/images/63933.jpg" ]
[ { "content": "<image>\nQuestion: How much money does Julian need to buy 8 baseball tickets and a football ticket?", "role": "user" }, { "content": "<perception>The image shows a list of sports tickets and their prices.\n- soccer ticket: $26.00\n- golf ticket: $26.00\n- football ticket: $98.00\n- bas...
[ "cold_start_9k/images/63936.jpg" ]
[ { "content": "<image>\nQuestion: If each table has 2 plates, how many plates are on 5 tables?", "role": "user" }, { "content": "<perception>The image shows a table with two columns. The first column is labeled \"Number of tables\" and the second column is labeled \"Number of plates\". The first row ...
[ "cold_start_9k/images/63940.jpg" ]
[ { "content": "<image>\nQuestion: If the algorithm flowchart on the right is executed, the output number is equal to ______.", "role": "user" }, { "content": "<perception>The image shows a flowchart for an algorithm. The algorithm starts with initializing two variables, a and b, to 1. Then, it enters...
[ "cold_start_9k/images/63944.jpg" ]
[ { "content": "<image>\nQuestion: What is the total number of employees working in all the companies combined?", "role": "user" }, { "content": "<perception>The image is a table showing company sizes. The table has two columns: \"Company\" and \"Number of employees\". The companies listed are Smith E...
[ "cold_start_9k/images/63945.jpg" ]
[ { "content": "<image>\nQuestion: The flowchart of a certain program is shown in the figure. What is the output S=____________.", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with initializing S=1 and k=1. Then, it enters a loop. Inside the loop, k is ...
[ "cold_start_9k/images/63946.jpg" ]
[ { "content": "<image>\nQuestion: (4 points) As shown in the program flowchart, when the inputs are m=98 and n=63, the sum of the values of m and i after the program execution ends is _____.", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by ...
[ "cold_start_9k/images/63949.jpg" ]
[ { "content": "<image>\nQuestion: _. Given the three views of a geometric body as shown in the figure, the volume of the geometric body is __. _", "role": "user" }, { "content": "<perception>The image shows three views of a geometric body: a front view, a side view, and a top view. The front view con...
[ "cold_start_9k/images/63953.jpg" ]
[ { "content": "<image>\nQuestion: What is the total cost for 3/4 of a kilogram of this syrup?", "role": "user" }, { "content": "<perception>The image is a table showing the prices of different types of sweeteners per kilogram. The sweeteners listed are powdered sugar ($3 per kg), dark brown sugar ($2...
[ "cold_start_9k/images/63954.jpg" ]
[ { "content": "<image>\nQuestion: Given the function \\( f(x) = \\) with \\( a < 0 \\) and its domain is \\( D \\), if all the points \\( (s, f(t)) \\) (where \\( s, t \\in D \\)) form a square region, then the value of \\( a \\) is ________.", "role": "user" }, { "content": "<perception>The image s...
[ "cold_start_9k/images/63962.jpg" ]
[ { "content": "<image>\nQuestion: The result of is ____________.", "role": "user" }, { "content": "<perception>The image shows the expression (2+1)(2²+1)(2⁴+1). This is a mathematical expression involving powers of 2 and addition. The expression is a product of three terms. The first term is (2+1), ...
[ "cold_start_9k/images/63971.jpg" ]
[ { "content": "<image>\nQuestion: The three views of a solid geometry are as follows: its volume is ______ .", "role": "user" }, { "content": "<perception>The image shows the three views of a solid geometry: the front view, the left view, and the top view. The front view is a triangle with a base of ...
[ "cold_start_9k/images/63977.jpg" ]
[ { "content": "<image>\nQuestion: In the algorithm flowchart shown on the right, the output value of \\textit{S} is ______________.", "role": "user" }, { "content": "<perception>The image shows a flowchart of an algorithm. The algorithm starts with initializing S to 0 and i to 3. Then, it enters a lo...
[ "cold_start_9k/images/63984.jpg" ]
[ { "content": "<image>\nQuestion: The value of x in the diagram is ____.", "role": "user" }, { "content": "<perception>The image shows a triangle. One angle is labeled as 140 degrees. The other two angles are labeled as x degrees each. The triangle appears to be isosceles since the two base angles ar...
[ "cold_start_9k/images/63985.jpg" ]
[ { "content": "<image>\nQuestion: What is the total number of people who voted for cheddar and sour cream and onion flavors combined?", "role": "user" }, { "content": "<perception>The image is a table titled \"Favorite chip flavor\". The table has two columns: \"Flavor\" and \"Frequency\". The rows l...
[ "cold_start_9k/images/64011.jpg" ]
[ { "content": "<image>\nQuestion: Xiaoming's family uses one side of the courtyard wall and 30 meters of fencing to enclose a rectangular chicken farm (as shown in the figure). What is the area of the chicken farm in square meters?", "role": "user" }, { "content": "<perception>The image shows a recta...
[ "cold_start_9k/images/64014.jpg" ]
[ { "content": "<image>\nQuestion: Xiaohong makes 2 round trips from home to school every day. How many meters does Xiaohong travel on average per minute?", "role": "user" }, { "content": "<perception>The image shows a girl riding a bicycle. A speech bubble above her says \"I ride for 17 minutes to sc...
[ "cold_start_9k/images/64029.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, a farmer wants to build a rectangular pig pen $$ABCD$$. One side of the pig pen, $$AD$$, uses a 12-meter-long side of a house wall, while the other three sides are enclosed using a 25-meter-long building material. For easy access, a 1-meter-wide door is l...
[ "cold_start_9k/images/64036.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, after two cubes are combined into a cuboid, the surface area decreases by 12 cm². Now, the surface area of this cuboid is _ cm².", "role": "user" }, { "content": "<perception>The image shows a cuboid formed by combining two identical cubes. Th...
[ "cold_start_9k/images/64042.jpg" ]
[ { "content": "<image>\nQuestion: What is the missing data? 65, _, 10, 5", "role": "user" }, { "content": "<perception>The image is a bar graph from the Pew Research Center showing the percentage of registered voters who say each item is important for the presidential election this November. The gra...
[ "cold_start_9k/images/64055.jpg" ]
[ { "content": "<image>\nQuestion: How much money is needed to buy a piece of smoky quartz and a pumice stone?", "role": "user" }, { "content": "<perception>The image shows a list of items and their prices. The items are: orange agate ($0.77), pumice stone ($0.18), piece of red sandstone ($0.86), yell...
[ "cold_start_9k/images/64061.jpg" ]
[ { "content": "<image>\nQuestion: In a corner of the campus, there is a triangular plot of land. The students want to cultivate it and plant sunflowers. If 4 sunflowers can be planted per square meter, how many sunflowers can be planted on this plot of land?", "role": "user" }, { "content": "<percept...
[ "cold_start_9k/images/64065.jpg" ]
[ { "content": "<image>\nQuestion: :\n\nRead the flowchart in the image, run the corresponding program, and the output value is (___ )", "role": "user" }, { "content": "<perception>The image shows a flowchart for a program. The program starts by initializing three variables: x = 1, a = 1, and i = 0. T...
[ "cold_start_9k/images/64082.jpg" ]
[ { "content": "<image>\nQuestion: The result of the algorithm represented by the flowchart shown in the figure is ____.", "role": "user" }, { "content": "<perception>The image shows a flowchart for an algorithm. The algorithm starts by initializing a variable 'a' to 1. Then, it enters a loop where 'a...
[ "cold_start_9k/images/64083.jpg" ]
[ { "content": "<image>\nQuestion: What is the volume, in cubic centimeters, of the object shown in the image?\nInner circle diameter = 6 cm\nOuter circle diameter = 10 cm", "role": "user" }, { "content": "<perception>The image shows a cylinder lying horizontally. The length of the cylinder is labeled...
[ "cold_start_9k/images/64086.jpg" ]
[ { "content": "<image>\nQuestion: The three right-angled triangles in the figure represent the three views of a geometric solid with a volume of $$2cm^{3}$$. Then, the value of $$b= $$______$$ cm$$.", "role": "user" }, { "content": "<perception>The image shows the three views of a geometric solid. Th...
[ "cold_start_9k/images/64087.jpg" ]
[ { "content": "<image>\nQuestion: If point P is on the curve C_{1}:, point Q is on the curve C_{2}:(x-5)^{2}+y^{2}=1, and point R is on the curve C_{3}:(x+5)^{2}+y^{2}=1, then the maximum value of | PQ |-| PR | is _______.", "role": "user" }, { "content": "<perception>The image shows the equation of ...
[ "cold_start_9k/images/64089.jpg" ]
[ { "content": "<image>\nQuestion: If \\( 0 < x < 5 \\), then = _________", "role": "user" }, { "content": "<perception>The image shows the expression |x-5| + √(x^2). It is a mathematical expression involving absolute value and a square root of a squared variable. </perception>\n<reasoning>The questi...
[ "cold_start_9k/images/64096.jpg" ]
[ { "content": "<image>\nQuestion: There are ____ angles in the figure.", "role": "user" }, { "content": "<perception>The image shows a point labeled \"O\" with four lines emanating from it. These lines form several angles. Visually, there is one large angle formed by the outermost lines, and several ...
[ "cold_start_9k/images/64110.jpg" ]
[ { "content": "<image>\nQuestion: Calculate the result of is ________________.", "role": "user" }, { "content": "<perception>The image shows a mathematical expression: log₂(25) * log₃(8) * log₅(9). The expression involves logarithms with different bases and arguments. The goal is to calculate the va...
[ "cold_start_9k/images/64111.jpg" ]
[ { "content": "<image>\nQuestion: What is the number of issues where a higher number of voters have selected them as the most important compared to the second most important?", "role": "user" }, { "content": "<perception>The image is a bar graph titled \"Jobs, deficit top voter concerns for 2016\". I...
[ "cold_start_9k/images/64120.jpg" ]
[ { "content": "<image>\nQuestion: A small rectangular prism with a volume of 128 cm³ is cut from a large rectangular prism (as shown in the image). What is the original volume of the large rectangular prism in cubic centimeters?", "role": "user" }, { "content": "<perception>The image shows a rectangu...
[ "cold_start_9k/images/64124.jpg" ]
[ { "content": "<image>\nQuestion: Draw the largest possible circle inside a square. The circumference of the circle is 12.56 dm. The area of the square is ______ square decimeters.", "role": "user" }, { "content": "<perception>The image shows a pink circle inscribed within a green square. The circle ...
[ "cold_start_9k/images/64128.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the diagram, there are ____ line segments with point B as one endpoint.", "role": "user" }, { "content": "<perception>The image shows a line segment AE with points B, C, and D located on it. Point B is between A and C, point C is between B and D, and poin...
[ "cold_start_9k/images/64134.jpg" ]
[ { "content": "<image>\nQuestion: To make sense, the smallest integer value that x can take is (___ )", "role": "user" }, { "content": "<perception>The image shows a mathematical expression: the square root of (3x - 5). The expression is sqrt(3x - 5). </perception>\n<reasoning>The expression is $\\sq...
[ "cold_start_9k/images/64135.jpg" ]
[ { "content": "<image>\nQuestion: What is the difference in the fare for a bicycle between the Seattle-Bremerton ferry and the Ocracoke ferry, as determined by Will for his economics project?", "role": "user" }, { "content": "<perception>The image is a table titled \"Ferry fares\". The table has thre...
[ "cold_start_9k/images/64140.jpg" ]
[ { "content": "<image>\nQuestion: In a survey conducted at a school about \"Your Favorite Ball Sports,\" a random sample of students (each student selected one ball sport) was surveyed. Based on the survey results, a pie chart was drawn as shown in the image. It is known that the number of students who prefer ba...
[ "cold_start_9k/images/64148.jpg" ]
[ { "content": "<image>\nQuestion: A road is 200 meters long. Xiao Liang and his puppy set off from the starting point of the road simultaneously at uniform speeds. When Xiao Liang reaches halfway along the road, the puppy has already made it to the end of the road. The puppy then turns back and runs towards Xiao...
[ "cold_start_9k/images/64154.jpg" ]
[ { "content": "<image>\nQuestion: The fifth term of the geometric sequence ... is _____________.", "role": "user" }, { "content": "<perception>The image shows the numbers \"1, √2, 2\". These are the first three terms of a geometric sequence. </perception> <reasoning>The image shows the first three te...
[ "cold_start_9k/images/64155.jpg" ]
[ { "content": "<image>\nQuestion: Grandpa Wang has a rectangular vegetable garden that is 6 meters long and 3 meters wide. As shown in the image, how much fencing is needed to enclose the garden?", "role": "user" }, { "content": "<perception>The image shows a rectangular vegetable garden enclosed by ...
[ "cold_start_9k/images/64162.jpg" ]
[ { "content": "<image>\nQuestion: Given the following flowchart, the output number is ______.\n \n _", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\". Then, it initializes two variables: S = 0 and i = 1. The next step is a loop. Inside the...
[ "cold_start_9k/images/64166.jpg" ]
[ { "content": "<image>\nQuestion: The Gantt chart of a certain project is shown in the figure: \n \nThe total duration of the project is ______ days$$.$$", "role": "user" }, { "content": "<perception>The image shows a Gantt chart for a project. The chart lists 8 tasks (A through H) with their duratio...
[ "cold_start_9k/images/64173.jpg" ]
[ { "content": "<image>\nQuestion: Look at Emily's pay stub. Emily lives in a state that has state income tax. How much did Emily make after taxes?", "role": "user" }, { "content": "<perception>The image shows a pay stub for Emily Evans for the pay period April 12-18. The pay stub includes the followi...
[ "cold_start_9k/images/64187.jpg" ]
[ { "content": "<image>\nQuestion: Which two values are repeated in this?", "role": "user" }, { "content": "<perception>The image is a bar graph from the Pew Research Center, dated June 7-July 5, 2016. The title states \"Those who are 'pretty outspoken' about their presidential choice are a minority\"...
[ "cold_start_9k/images/64191.jpg" ]
[ { "content": "<image>\nQuestion: The length and width of the rectangle are as shown in the figure. When the perimeter of the rectangle is 12, find the value of \\(a\\).", "role": "user" }, { "content": "<perception>The image shows a rectangle. The length of the rectangle is labeled as \"a+3\" and th...
[ "cold_start_9k/images/64204.jpg" ]
[ { "content": "<image>\nQuestion: There is a rectangular cuboid with a length of 24 cm, a width of 12 cm, and a height of 6 cm. It is now cut into three identical rectangular cuboids.\n(1) There are ____ different ways to cut it.\n(2) How should it be cut to maximize the total surface area of the resulting three...
[ "cold_start_9k/images/64207.jpg" ]
[ { "content": "<image>\nQuestion: The number of zeros of the function \\( f(x) = \\) is ________.", "role": "user" }, { "content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = x^2 + 2x - 3, if x <= 0\nf(x) = -2 + ln(x), if x > 0\n\nThe question asks for the number of...
[ "cold_start_9k/images/64208.jpg" ]
[ { "content": "<image>\nQuestion: If the maximum value of is m, and the function \\textit{f}(\\textit{x}) is an even function, then m + u = ________________.", "role": "user" }, { "content": "<perception>The image shows the equation f(x) = e^(-1/2 * (x-u)^2). This represents a Gaussian function. The...
[ "cold_start_9k/images/64228.jpg" ]
[ { "content": "<image>\nQuestion: On a highway, there is a warehouse every 10 kilometers, and there are a total of 5 warehouses. The first warehouse contains 10 tons of goods, the second warehouse contains 20 tons of goods, and the fifth warehouse contains 40 tons of goods. The remaining two warehouses are empty...
[ "cold_start_9k/images/64239.jpg" ]
[ { "content": "<image>\nQuestion: The three views of a geometric body are shown in the figure. The volume of the geometric body is ____.", "role": "user" }, { "content": "<perception>The image shows three identical squares. Each square has a side length of 2. The squares are labeled with the number 2...
[ "cold_start_9k/images/64242.jpg" ]
[ { "content": "<image>\nQuestion: The position of the real number $$a$$ on the number line is shown in the figure. Simplify the expression $$\\left|a-2\\right|+ \\sqrt{{a}^{2}} $$. The result is ______", "role": "user" }, { "content": "<perception>The image shows a number line with the numbers -1, 0,...
[ "cold_start_9k/images/64253.jpg" ]
[ { "content": "<image>\nQuestion: Zhuang Zhuang took a taxi from the new station to his grandmother's house, spending a total of 25.6 yuan.", "role": "user" }, { "content": "<perception>The image shows a cartoon of a taxi and a person thinking. There are two speech bubbles. The first speech bubble sa...
[ "cold_start_9k/images/64264.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the image, a dog weighs 8 kilograms, and a rabbit and a watermelon together weigh ____ kilograms.", "role": "user" }, { "content": "<perception>The image shows two balance scales. The first scale has a dog on one side and two rabbits on the other side, an...
[ "cold_start_9k/images/64271.jpg" ]
[ { "content": "<image>\nQuestion: Grandfather Zhang wants to use a fence to enclose a trapezoidal chicken coop with an area of 30 square meters, with one side against the wall. How much fencing did Grandfather Zhang use?", "role": "user" }, { "content": "<perception>The image shows a trapezoidal chic...
[ "cold_start_9k/images/64305.jpg" ]
[ { "content": "<image>\nQuestion: How many fewer times did the little rabbit jump compared to the little dog?", "role": "user" }, { "content": "<perception>The image shows two cartoon animals jumping rope. The first animal, labeled \"小狗\" (little dog), says \"我跳的是小兔的3倍\" (I jumped 3 times the amount ...
[ "cold_start_9k/images/64312.jpg" ]
[ { "content": "<image>\nQuestion: Execute the program flowchart as shown in the image. If the input value of $$n$$ is $$8$$, then the output value of $$s$$ is ____________.", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by taking an input va...
[ "cold_start_9k/images/64325.jpg" ]
[ { "content": "<image>\nQuestion: In determining which sports to offer this season, the Hillsboro Community Center asked its members' children to vote for their favorite sports. How many girls voted for soccer?", "role": "user" }, { "content": "<perception>The image is a table titled \"Favorite sport...
[ "cold_start_9k/images/64333.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the major axis \\(AB\\) of the ellipse \\( \\dfrac {x^{2}}{25}+ \\dfrac {y^{2}}{16}=1\\) is divided into 8 equal parts. Through each dividing point, draw a perpendicular line to the \\(x\\)-axis, intersecting the upper half of the ellipse at points \\(P_{...
[ "cold_start_9k/images/64343.jpg" ]
[ { "content": "<image>\nQuestion: In computers, a stack is a series of consecutive storage units where data is pushed and popped according to the “Last In, First Out” (LIFO) principle. For instance, in stack (1), two consecutive storage units have stored data b and a in sequence, and the data would be retrieved ...
[ "cold_start_9k/images/64351.jpg" ]
[ { "content": "<image>\nQuestion: ____________", "role": "user" }, { "content": "<perception>The image shows the mathematical expression: cube root of 64, written as $\\sqrt[3]{64} =$. The task is to evaluate this expression. </perception>\n<reasoning>The image shows the cube root of 64. We need to ...
[ "cold_start_9k/images/64353.jpg" ]