Datasets:

xupy21
/

ContextRL_Multimodal_Qwen2.5_VL

images images listlengths 1 1	problem stringlengths 14 510	answer stringlengths 1 255
	<image> Side CD forming an equilateral triangle beyond the rectangle. Side HI is extended into a semi-circular shape. How long is HI in shape GFHI? Choices: (A) 195√(2)π/4 (B) 1521√(3)/4 (C) 39π/2 (D) 39√(3)π/8	C
	<image> ABC is an isosceles triangle with AB and BC being equal in length. Please provide the length of CB in shape ABC. Choices: (A) 4 (B) 5/2 (C) 2 (D) √(3)/3	C
	<image> CDE forms an equilateral triangle. What is the total length of the perimeter of ABCED? Choices: (A) 6 (B) 3/2 (C) 9*√(2) (D) √(3)/4 + 3/2	A
	<image> Which region's name is visible on one of the alcohol bottle labels?	HIGHLAND
	<image> ABC takes the form of a sector. CBDE is geometrically a square. DBF conforms a sector. What is the area size of the entire shape DBF? Choices: (A) 324√(3)π (B) 648π (C) 1296π/5 (D) 12*π	B
	<image> ABCD forms a square. CBEF conforms a parallelogram. FEGH is a parallelogram. What is the perimeter of FEGH? Choices: (A) 174 (B) 58√(3) (C) 116√(3) (D) 348	A
	<image> Think about the magnetic force between the magnets in each pair. Which of the following statements is true? Choices A. The magnitude of the magnetic force is the same in both pairs. B. The magnitude of the magnetic force is greater in Pair 2. C. The magnitude of the magnetic force is greater in Pair 1.	B
	<image> Among the options given in the image, which object will exhibit water droplets first when left at room temperature? Choices A. Option A in the image B. Option B in the image C. Because all temperatures are higher than the room temperature of 25°C, no objects will exhibit surface condensation. D. Option C in the...	B
	<image> The figure displays the graph of the function f(x) = Abs(a*x + b), where a is positive. The function's values at x=0 and x=6 are 3 and 3, respectively. Based on the provided graph and the given conditions, what are the zeros of the function?	This function has a single zero at 3
	<image> Think about the magnetic force between the magnets in each pair. Which of the following statements is true? Choices A. The magnitude of the magnetic force is greater in Pair 1. B. The magnitude of the magnetic force is greater in Pair 2. C. The magnitude of the magnetic force is the same in both pairs.	A
	<image> How many objects in the given options in the image will sink into the water? Choices A. 0 B. 3 C. 2 D. 1	D
	<image> What is in front of the wall?	potted plants
	<image> How many items sold less than 3 units?	zero
	<image> Side CD extends internally into a semi-circle. Please provide the length of CD in shape ABCD. Choices: (A) 5π (B) 5√(2)π/3 (C) 25π/2 (D) 5√(2)π/4	A
	<image> Which object is the most preferred in any category?	pot
	<image> What the standing man holds?	bicycle wheel
	<image> Shown in the figure is the graph of the function f(x) = -log(c + x). Function f(x) has a tangent line given by y = -x/4 - log(4) + 1/4 at x=1. With the graph and above conditions in mind, what are the zeros of the function?	This function has a single zero at -2
	<image> Side CD forming a semi-circle beyond the rectangle. What is the overall perimeter of ABCD? Choices: (A) √(3)(48π + 992/3) (B) 72π/5 + 496/5 (C) 72π + 496 (D) 36*π + 248	D
	<image> How many algorithms have accuracy higher than 80 in at least one dataset?	one
	<image> In rectangle ABCD, given that the diagonal lines AC and BD intersect at point O, points E and F are the midpoints of AO and AD respectively. If AB is 30 units long and BC is 40 units long, what is the length of EF? Choices: A: 11.0 B: 11.5 C: 12.0 D: 12.5	D
	<image> The graph provided represents the function f(x) = Abs(b + 2*x). For x=5 and x=4, the function values are 10 and 8, respectively. Taking the graph and above conditions into consideration, find the zeros of the function.	The zero of the function is 0
	<image> This figure represents the graph of f(x) = 4log(bx + c), where b is non-zero. The derivative's value when x=-6 is -8/13. Function f(x) has a tangent line given by y = -8x/5 - 16/5 + 4log(5) at x=-2. Considering the conditions and the graph provided, what are the function's zeros?	This function has a single zero at 0
	<image> What is distinctive about the jacket the man in the photo is wearing?	The distinctive feature about the man's jacket is that it's bright red.
	<image> What is the person on the bike wearing?	shorts
	<image> If you put these containers in a room at normal temperature, which one will develop droplets on its inner wall first? Choices A. Option A in the image B. As every temperature below the room temperature threshold of 25°C, there will be no moisture droplets forming on any container's inner wall within the given i...	C
	<image> Is the number of fish even or odd?	odd
	<image> How many algorithms have accuracies higher than 9?	zero
	<image> The graph of the function f(x) = acos(bx + c) is shown, where the condition that a, b are positive, and c is in the range of (0, pi] is satisfied. f(x) reaches its local maxima at f(6*k - 2)=5, where k is an integer. Considering the conditions and the graph provided, what is the derivative value at x = -2?	The derivative value at x = -2 is 0
	<image> Who wears the glasses?	No one wears the glasses.
	<image> Which algorithm has the largest accuracy summed across all the datasets?	fellow
	<image> ABCD forms a square. What is the overall area of the shape ADEF? Choices: (A) 484/5 (B) 242√(2) (C) 484/3 (D) 726√(2)/5	B
	<image> How many algorithms have accuracies lower than 8?	two
	<image> Who wears the glasses?	No one wears the glasses.
	<image> DCE is an isosceles triangle in which DC and CE are equal. Side FG forming an outward equilateral triangle beyond the rectangle. What is the perimeter of ECFHG? Choices: (A) 18√(2) + 36 (B) 12√(3) + 12√(6) (C) 108 + 108√(2) (D) 30√(3)(√(2) + 2)	A
	<image> How many algorithms have accuracy lower than 30 in at least one dataset?	one
	<image> How many algorithms have accuracy lower than 40 in at least one dataset?	two
	<image> How would you describe the age of the person in a black vest who is jumping?	The person jumping in a black vest appears to be a young girl.
	<image> Among the two concentric circles with point O as the center, the chord AB of the great circle is the tangent of the small circle, and C is the tangent point. If the radii of the two circles are 40.0 and v respectively, the length of the chord AB is 64.0. What is the value of the unknown variable v? Choices: A: ...	C
	<image> Who is at the desk?	man
	<image> What the standing woman wears?	sun hat
	<image> In the provided image, how many items from the given choices will submerge underwater? Choices A. 1 B. 0 C. 3 D. 2	A
	<image> ABCD is geometrically a parallelogram. Could you specify the length of DC in shape ABCD? Choices: (A) 455√(3)/3 (B) 91√(2) (C) 182*√(3) (D) 91	D
	<image> How many algorithms have accuracies higher than 70?	zero
	<image> Is the following statement about our solar system true or false? Earth's volume is more than ten times as great as Mars's volume. Choices A. false B. true	A
	<image> How many objects do the given options in the image float on the water? Choices A. 2 B. 0 C. 1 D. 3	B
	<image> Can you tell me what the color is of the object that the puppies are interacting with?	The object is red.
	<image> Are the people in the kitchen paying attention to something in common, like a device?	Yes, they appear to be watching the television while preparing food.
	<image> ABCD takes the form of a parallelogram. What is the total area measurement of the shape ABCD? Choices: (A) 3√(2)/4 (B) 3√(2)/10 (C) 3*√(6)/16 (D) √(6)	A
	<image> The function f(x) = Abs(a*x + b) is depicted in the graph, subject to the constraint that a is positive. For x=-5, x=1 and x=0, the function values are 6, 6 and 4, respectively. Given the graph and the conditions specified, what are the zeros of the function?	The function has one zero, which is -2
	<image> How many items sold less than 2 units?	zero
	<image> CBD is an isosceles triangle with CB having the same length as BD. Side EF curves into a semi-circle inside the rectangle. What is the full area of the shape DBEF? Choices: (A) -169√(6)π/48 + 26√(2) (B) -845√(2)π/48 + 130√(6)/3 (C) 13 + 26√(3)/3 (D) -169π/24 + 52*√(3)/3	D
	<image> ABC is an isosceles triangle where the lengths of AB and BC are equal. Arc DE is in the shape of a semi-circle. What is the overall perimeter of CBDE? Choices: (A) √(3)(7π + 54)/8 (B) 7π/2 + 27 (C) 21π/5 + 162/5 (D) √(3)(7π + 54)/12	B
	<image> How many algorithms have accuracy lower than 7 in at least one dataset?	three
	<image> ABC forms a sector. How can we determine the area of the entire shape CBD? Choices: (A) 98√(3) (B) 245/2 (C) 245√(3)/6 (D) 49*√(3)/2	D
	<image> DCEF conforms a parallelogram. Square FEGH includes an inscribed circle. What is the overall area measurement of the circle? Choices: (A) 36 + 32√(3) (B) 9 (C) 81π/2 (D) 81*π	D
	<image> ABC is an isosceles triangle in which AB equals BC in length. CBD is an isosceles triangle, with CB equalling BD. Can you calculate the area of the entire shape CBD? Choices: (A) 324√(3) (B) 1/2 (C) 648 (D) 108√(6)	A
	<image> What is the man who is about to ride the bicycle wearing?	The man is wearing a white shirt and blue jeans.
	<image> Who wears the glasses?	man
	<image> CDE takes the form of an equilateral triangle. How would you calculate the total area of the shape ABCED? Choices: (A) -288 + 384√(3) (B) 576 - 144√(3) (C) -144 + 192√(3) (D) 144 - 36√(3)	B
	<image> Side CD transforms into a semi-circle inside the rectangle. Could you specify the length of CD in shape ABCD? Choices: (A) 14π (B) 175√(2)π/2 (C) 35√(2)π/4 (D) 35π	D
	<image> $\overline{JH}, \overline{JP},$ and $\overline{PH}$ are midsegments of $\triangle KLM$. Find $x$.	1.35
	<image> Which country is highlighted? Choices A. Barbados B. Saint Vincent and the Grenadines C. Grenada D. Saint Lucia	B
	<image> If the arc length of the ABC sector is 23.13, compute the degree of the CBA angle. Assume $\pi=3.14$. Round computations to 2 decimal places.	90
	<image> How many items sold more than 3 units in at least one store?	four
	<image> Which country is highlighted? Choices A. New Zealand B. Palau C. the Federated States of Micronesia D. Fiji	C
	<image> ABCD is a parallelogram. DCE is an isosceles triangle where the length of DC equals the length of CE. How can we determine the area of the entire shape DCE? Choices: (A) 121√(3)/4 (B) 121√(3)/12 (C) 363√(3)/16 (D) 121√(2)/4	A
	<image> How many algorithms have accuracy lower than 7 in at least one dataset?	four
	<image> Shown in the figure is the graph of the function f(x) = Abs(a*x + b), where a is positive. At x=5, x=-3 and x=3, the function evaluates to 10, 6 and 6, respectively. Referring to the graph and the conditions mentioned above, identify the zeros of the function.	The function's zero point is 0
	<image> Does the scene with the cyclist appear to be one of leisure or work, and what might indicate this?	It appears to be a leisure scene, as the cyclist seems to be casually riding with a picnic basket or backpack.
	<image> Shown in the figure is the graph of the function f(x) = alog(c - 5x), where a is non-zero. The derivative f'(x) takes the value -10/11 at x=-2. y = -5x/8 - 15/8 + 2log(16) is tangent to the curve of function f(x) at x=-3. With the graph and above conditions in mind, what are the function's zeros?	The zero of the function is 0
	<image> The accompanying figure illustrates the function f(x) = atan(bx + c), given that a, b are positive, and c lies within the interval of (-pi/2, pi/2]. The derivative value at x=13/2 is pi/3. The minimum positive period of function f(x) is 6. There is an asymptote at x=-1 for function f(x). Taking the graph and ...	The function value at x = 1/2 is -1
	<image> ABC is an isosceles triangle where the lengths of AB and BC are equal. What is the overall area of the shape ABC? Choices: (A) 2401√(3)/4 (B) 7203√(3)/16 (C) 7203/16 (D) 2401*√(3)/16	A
	<image> ABC takes on a sector shape. CBD is an isosceles triangle where CB and BD are of equal length. Side EF extending into an equilateral triangle shape beyond the rectangle. What's the perimeter of GEHI? Choices: (A) 51 (B) 729√(3)/4 + 729 (C) 51√(3) (D) 102	D
	<image> Side CD transforming into an equilateral triangle beyond the rectangle. What is the total area of shape ABCED? Choices: (A) 1152√(3) + 3168 (B) 4608√(6) + 12672√(2) (C) 2304√(3) + 6336 (D) 6912√(6) + 19008√(2)	C
	<image> Arc CD is a semi-circle. In the shape ABCD, what is the measurement of CD? Choices: (A) 9π/2 (B) 9π/2 + 37 (C) 3√(3)π (D) 9√(2)π	A
	<image> What is the food to the left of the bowl made of glass?	salad
	<image> Side CD forming an equilateral triangle beyond the rectangle. What's the area of the entire shape ABCED? Choices: (A) 507√(6)/2 + 689√(2) (B) 1521√(3) + 4134 (C) 1521√(3)/5 + 4134/5 (D) 7605*√(3)/2 + 10335	B
	<image> Will these magnets attract or repel each other? Choices A. repel B. attract	B
	<image> What food is on the plate?	steamed broccoli
	<image> What does the person that is standing wear?	t-shirt
	<image> What is the length of AC in shape ABC? Choices: (A) 40√(3)/3 (B) 80√(3)/9 (C) 32√(3)/3 (D) 64√(3)/15	C
	<image> Are there fewer ties than shirts?	yes
	<image> What the standing woman wears?	sunglasses
	<image> Is there any indication that one of the dogs is paying attention to its surroundings rather than just the forward direction?	Yes, one of the dogs seems to be looking behind itself, indicating awareness of its surroundings.
	<image> CBD is an isosceles triangle where the lengths of CB and BD are equal. Please tell me the length of the base CD in the isosceles triangle CBD. Choices: (A) 9√(2 - √(3))/5 (B) 3√(2 - √(3)) (C) √(12 - 6√(3)) (D) 9√(2 - √(3))*(√(2) + √(6))/8	B
	<image> Square ABCD includes an inscribed circle. What's the area of the entire inscribed circle? Choices: (A) 968√(2)π/3 (B) 11616π/5 (C) 968π (D) 1936*π	D
	<image> What would the perimeter of ACD be? Choices: (A) 60√(2) + 60√(6) (B) √(3)/3 (C) 1 (D) 60√(6) + 180√(2)	D
	<image> ABC is defined as a sector. Side DE is extended to a semi-circle. What is the measurement of the total area of CBDE? Choices: (A) π/8 + 1 (B) √(2)(π + 8)/16 (C) √(2)(π + 8)/8 (D) 5*π/24 + 5/3	A
	<image> In triangle ABC, given that DE is parallel to BC and AD/BD = 2.0, DE = v, what is the length of BC? Choices: A: 5.0 B: 4.0 C: 14.0 D: 15.0	B
	<image> The graph provided represents the function f(x) = -log(c + x). At x=3, the function evaluates to -log(4). Based on the graph and the conditions above, identify the zeros of the function.	The function's zero point is 0
	<image> What would the area of the entire shape ABC be? Choices: (A) 96 (B) √(3)/3 (C) 9216√(3) (D) 4608√(3)	D
	<image> DCEF conforms a parallelogram. Please provide the length of HG in shape FEGH. Choices: (A) 50√(2)/3 (B) 250√(3)/3 (C) 50 (D) 264	C
	<image> What is the activity of the animal present in the image?	The animal, which is a dog, is sitting calmly by the water.
	<image> Point out the spot on the picture where the depth is at its deepest. Choices A. Point C B. Point A C. Point B	C
	<image> ABCD is geometrically a parallelogram. Side EF extends beyond the rectangle into an equilateral triangle. What's the perimeter of DCEGF? Choices: (A) 826*√(2) (B) 77 (C) 2065/3 (D) 413	D
	<image> ABC is an isosceles triangle where the sides AB and BC are identical in length. Arc DE is in the form of a semi-circle. How long is DE in shape CBDE? Choices: (A) 35π/2 (B) 35√(2)π (C) 70π (D) 35√(2)π/2	A
	<image> The graph of the function f(x) = -2log(bx + 17) is shown, where the condition that b is non-zero is satisfied. At x=1, the tangent line to the function f(x) is y = -8x/21 - 2log(21) + 8/21. Given the graph and the aforementioned conditions, determine the zeros of the function.	This function has a single zero at -4
	<image> Side DE transforms into an equilateral triangle within the rectangle. Can you tell me the area of the whole shape ACDFE? Choices: (A) 3360 - 1225√(6)/2 (B) -2450√(3) + 6720√(2) (C) 6720√(2) (D) 35*√(6)	B
	<image> ABCD takes the form of a parallelogram. Arc EF creates a semi-circle. How can we determine the area of the entire shape DCEF? Choices: (A) 9801π/8 + 8613 (B) 99√(2)(33π + 232)/16 (C) 9801π/2 + 34452 (D) 3267π/16 + 2871/2	A
	<image> What activity is the girl engaged in at the playground?	The girl is sitting on a playground swing.