question stringlengths 14 1.97k | answer stringlengths 9 167 | PassRate_32BTrained float64 0.01 1 | PassRate_7BBase float64 -1 1 | category stringclasses 8
values | source stringclasses 18
values | qid stringlengths 6 80 | image images listlengths 1 8 | data_source stringclasses 1
value | prompt listlengths 1 1 | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|---|---|---|---|
The below problem is with the following images:
<image><image>
As shown in the figure, there are two congruent triangles. What is the measure of $\angle 1$? | \boxed{72} | 1 | 0.875 | (GradeSchool) Geometric | Processed | Processed-3fe5262c-3d38-493a-a33a-ef0a1abf7197 | ViRL39K | [
{
"content": "The below problem is with the following images:\n\nAs shown in the figure, there are two congruent triangles. What is the measure of $\\angle 1$?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{72}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.875,
"original_label": "\\boxed{72}",
"original_question": "The below problem is with the following images:\n<image><image>\nAs shown in the figure, there are two congruent triangles. What is the measure of $\\angle 1$?"
} | |
<image>
As shown in the figure, point $P$ is on the angle bisector $CD$ of $\angle ACB$, $PM \bot CA$, and $PN \bot CB$, with the feet of the perpendiculars being $M$ and $N$ respectively. If $PM = 4$, then $PN$ =. | \boxed{4} | 1 | 1 | (GradeSchool) Geometric | MMK12 | MMK12-dff7cd6a-2d2c-4a69-88dc-fa7848792ff3 | ViRL39K | [
{
"content": "As shown in the figure, point $P$ is on the angle bisector $CD$ of $\\angle ACB$, $PM \\bot CA$, and $PN \\bot CB$, with the feet of the perpendiculars being $M$ and $N$ respectively. If $PM = 4$, then $PN$ =.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{4}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{4}",
"original_question": "<image>\nAs shown in the figure, point $P$ is on the angle bisector $CD$ of $\\angle ACB$, $PM \\bot CA$, and $PN \\bot CB$, with the feet of the perpendiculars being $M$ and $N$ respectively. If $PM = 4$, th... | |
<image>
How many shapes are in the image in total? | \boxed{6} | 1 | 0.875 | (GradeSchool) Geometric | Processed | Processed-c023da6b-db0f-45b6-b600-3c62e48cc449 | ViRL39K | [
{
"content": "How many shapes are in the image in total?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{6}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.875,
"original_label": "\\boxed{6}",
"original_question": "<image>\nHow many shapes are in the image in total?"
} | |
The below problem is with the following images:
<image>
In a group of tomato plants with red and yellow fruit, two alleles determine fruit color: red (F) is dominant over yellow (f). In a cross between two plants represented in a Punnett square, what is the ratio of offspring with yellow fruit to those with red fruit? | \boxed{0:4} | 1 | 1 | (GradeSchool) Science | ScienceQAConverted | ScienceQAConverted-6654 | ViRL39K | [
{
"content": "The below problem is with the following images:\n\nIn a group of tomato plants with red and yellow fruit, two alleles determine fruit color: red (F) is dominant over yellow (f). In a cross between two plants represented in a Punnett square, what is the ratio of offspring with yellow fruit to those... | {
"ground_truth": "\\boxed{0:4}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{0:4}",
"original_question": "The below problem is with the following images:\n<image>\nIn a group of tomato plants with red and yellow fruit, two alleles determine fruit color: red (F) is dominant over yellow (f). In a cross between tw... | |
<image>
How many more hearts are there than the number of stars, if there are 2 stars in the image? | \boxed{3} | 1 | 1 | Spatial Reasoning | Processed | Processed-abff5d5c-339c-44d6-a43c-29e0c835fe27 | ViRL39K | [
{
"content": "How many more hearts are there than the number of stars, if there are 2 stars in the image?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{3}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{3}",
"original_question": "<image>\nHow many more hearts are there than the number of stars, if there are 2 stars in the image?"
} | |
<image>
As shown in the figure, it is known that the line $y=4x-6$ intersects the x-axis at point $A$, and the line $y=-2x-2$ intersects the x-axis at point $B$, and these two lines intersect at point $C$. Write the range of the independent variable $x$ for which the value of the function $y=4x-6$ is greater than the v... | \boxed{x>\frac{2}{3}} | 1 | 0.375 | (GradeSchool) Non-Geo Math | MMMath | MMMath-5498 | ViRL39K | [
{
"content": "As shown in the figure, it is known that the line $y=4x-6$ intersects the x-axis at point $A$, and the line $y=-2x-2$ intersects the x-axis at point $B$, and these two lines intersect at point $C$. Write the range of the independent variable $x$ for which the value of the function $y=4x-6$ is grea... | {
"ground_truth": "\\boxed{x>\\frac{2}{3}}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.375,
"original_label": "\\boxed{x>\\frac{2}{3}}",
"original_question": "<image>\nAs shown in the figure, it is known that the line $y=4x-6$ intersects the x-axis at point $A$, and the line $y=-2x-2$ intersects the x-axis at point $B$, and these two lines intersec... | |
The front view of the geometric solid shown in the figure is ( )
<image><image_1>
A.
<image><image_2>
B.
<image><image_3>
C.
<image><image_4>
D.
<image><image_5> | \boxed{B} | 0.875 | -1 | (GradeSchool) Non-Geo Math | Processed | Processed-fa19b8c6-7721-4b17-8b9b-3599a56f3ccb | ViRL39K | [
{
"content": "The front view of the geometric solid shown in the figure is ( )\n\n<image_1>\nA.\n\n<image_2>\nB.\n\n<image_3>\nC.\n\n<image_4>\nD.\n\n<image_5>",
"role": "user"
}
] | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.875,
"PassRate_7BBase": -1,
"original_label": "\\boxed{B}",
"original_question": "The front view of the geometric solid shown in the figure is ( )\n\n<image><image_1>\nA.\n\n<image><image_2>\nB.\n\n<image><image_3>\nC.\n\n<image><image_4>\nD.\n\n<image><image_5>"
} | |
<image>
As shown in Figure 1, a square piece of paper with side length $$a$$ is cut into two small rectangles, resulting in a pattern $$S$$ as shown in Figure 2. Then, the two small rectangles are combined to form a new rectangle, as shown in Figure 3. The perimeter of the new rectangle can be expressed as ( ).
A. $$... | \boxed{B} | 1 | 0.5 | (GradeSchool) Geometric | MMK12 | MMK12-9fb997cb-94b9-4151-9461-fca469b200ee | ViRL39K | [
{
"content": "As shown in Figure 1, a square piece of paper with side length $$a$$ is cut into two small rectangles, resulting in a pattern $$S$$ as shown in Figure 2. Then, the two small rectangles are combined to form a new rectangle, as shown in Figure 3. The perimeter of the new rectangle can be expressed a... | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.5,
"original_label": "\\boxed{B}",
"original_question": "<image>\nAs shown in Figure 1, a square piece of paper with side length $$a$$ is cut into two small rectangles, resulting in a pattern $$S$$ as shown in Figure 2. Then, the two small rectangles are combined... | |
<image>
As shown in the figure, it is a number array similar to Pascal's Triangle. The second number in the 9th row is ___. | \boxed{66} | 0.375 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-14b3b523-80d5-4ac4-ae61-c0ae4611f47f | ViRL39K | [
{
"content": "As shown in the figure, it is a number array similar to Pascal's Triangle. The second number in the 9th row is ___.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{66}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.375,
"PassRate_7BBase": -1,
"original_label": "\\boxed{66}",
"original_question": "<image>\nAs shown in the figure, it is a number array similar to Pascal's Triangle. The second number in the 9th row is ___."
} | |
The structure of two oxoacids is shown below. Which would be a stronger acid, and why?
A. HOCl, because the H–O bond is weaker than in HOF as chlorine is larger than fluorine
B. HOCl, because the H–O bond is stronger than in HOF as chlorine has a higher electronegativity than fluorine
C. HOF, because the H–O bond is ... | \boxed{D} | 0.984375 | -1 | (GradeSchool) Science | Processed | Processed-126244cd-763a-4379-a7b2-550eca1ec589 | ViRL39K | [
{
"content": "The structure of two oxoacids is shown below. Which would be a stronger acid, and why?\n\nA. HOCl, because the H–O bond is weaker than in HOF as chlorine is larger than fluorine\nB. HOCl, because the H–O bond is stronger than in HOF as chlorine has a higher electronegativity than fluorine\nC. HOF,... | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.984375,
"PassRate_7BBase": -1,
"original_label": "\\boxed{D}",
"original_question": " The structure of two oxoacids is shown below. Which would be a stronger acid, and why?\n\nA. HOCl, because the H–O bond is weaker than in HOF as chlorine is larger than fluorine\nB. HOCl, because the... | |
<image>
A school conducted a sampling survey on four extracurricular activities for junior high school students (each student only participates in one of the activities). The survey results are shown in the figure. According to the sample data provided in the figure, the frequency of students participating in science a... | \boxed{0.2} | 0.625 | -1 | Tables/Diagrams/Charts | MMK12 | MMK12-e0435598-d766-48f2-8ca0-cf6e762f1f36 | ViRL39K | [
{
"content": "A school conducted a sampling survey on four extracurricular activities for junior high school students (each student only participates in one of the activities). The survey results are shown in the figure. According to the sample data provided in the figure, the frequency of students participatin... | {
"ground_truth": "\\boxed{0.2}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.625,
"PassRate_7BBase": -1,
"original_label": "\\boxed{0.2}",
"original_question": "<image>\nA school conducted a sampling survey on four extracurricular activities for junior high school students (each student only participates in one of the activities). The survey results are shown ... | |
<image>
As shown in the figure, in rectangle $$ABCD$$, $$AB=3\ \unit{cm}$$, $$AD=9\ \unit{cm}$$, the rectangle is folded so that point $$B$$ coincides with point $$D$$, resulting in quadrilateral $$EFC'D'$$. The fold line is $$EF$$. What is the length of $$DE$$ in $$\unit{cm}$$? | \boxed{5} | 1 | 0 | (GradeSchool) Geometric | MMK12 | MMK12-a7d6137b-48cf-4ba6-a272-b9458a5352ce | ViRL39K | [
{
"content": "As shown in the figure, in rectangle $$ABCD$$, $$AB=3\\ \\unit{cm}$$, $$AD=9\\ \\unit{cm}$$, the rectangle is folded so that point $$B$$ coincides with point $$D$$, resulting in quadrilateral $$EFC'D'$$. The fold line is $$EF$$. What is the length of $$DE$$ in $$\\unit{cm}$$?",
"role": "user"
... | {
"ground_truth": "\\boxed{5}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0,
"original_label": "\\boxed{5}",
"original_question": "<image>\nAs shown in the figure, in rectangle $$ABCD$$, $$AB=3\\ \\unit{cm}$$, $$AD=9\\ \\unit{cm}$$, the rectangle is folded so that point $$B$$ coincides with point $$D$$, resulting in quadrilateral $$EFC'D... | |
<image>
As shown in the flowchart, the final output value of $$n$$ is ___. | \boxed{5} | 1 | 0.75 | Tables/Diagrams/Charts | MMK12 | MMK12-79989242-6da7-47c8-98d0-9ef719ba12cd | ViRL39K | [
{
"content": "As shown in the flowchart, the final output value of $$n$$ is ___.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{5}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.75,
"original_label": "\\boxed{5}",
"original_question": "<image>\nAs shown in the flowchart, the final output value of $$n$$ is ___."
} | |
<image>
Question: The picture on the left is a given hollow solid figure. If it is cut from any side, which of the following may be the cross-section of the solid figure?
Choices:
A. A B. B C. C D. D | \boxed{B} | 0.75 | -1 | Spatial Reasoning | R1OneVision | R1OneVision-xingce-2022-social_text-81-Deducation-social_text | ViRL39K | [
{
"content": "Question: The picture on the left is a given hollow solid figure. If it is cut from any side, which of the following may be the cross-section of the solid figure?\nChoices:\nA. A B. B C. C D. D",
"role": "user"
}
] | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.75,
"PassRate_7BBase": -1,
"original_label": "\\boxed{B}",
"original_question": "<image>\nQuestion: The picture on the left is a given hollow solid figure. If it is cut from any side, which of the following may be the cross-section of the solid figure?\nChoices:\nA. A B. B C. C D. D"
... | |
<image>
Calculate $45 \cdot 68 \cdot 99 \equiv m \pmod{25}$, where $0 \leq m < 25$. Let's think step by step and output the final answer within \boxed{}. | \boxed{15} | 0.875 | -1 | (GradeSchool) Non-Geo Math | DeepScaleR | DeepScaleR-19135 | ViRL39K | [
{
"content": "Calculate $45 \\cdot 68 \\cdot 99 \\equiv m \\pmod{25}$, where $0 \\leq m < 25$. Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{15}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.875,
"PassRate_7BBase": -1,
"original_label": "\\boxed{15}",
"original_question": "<image>\nCalculate $45 \\cdot 68 \\cdot 99 \\equiv m \\pmod{25}$, where $0 \\leq m < 25$. Let's think step by step and output the final answer within \\boxed{}."
} | |
<image>/nBased on the given images, answer the following question.
Given that the graph of the function \( y = f(x) \) is as shown in the image, the relationship between \( f'(x_A) \) and \( f'(x_B) \) is ( ). Choices: A. \( f'(x_A) > f'(x_B) \) B. \( f'(x_A) < f'(x_B) \) C. \( f'(x_A) = f'(x_B) \) D. Cannot be determ... | \boxed{B} | 0.375 | -1 | (GradeSchool) Non-Geo Math | Processed | Processed-98d021d5-ed01-4198-ba9c-4b757273ebfb | ViRL39K | [
{
"content": "/nBased on the given images, answer the following question.\n\nGiven that the graph of the function \\( y = f(x) \\) is as shown in the image, the relationship between \\( f'(x_A) \\) and \\( f'(x_B) \\) is ( ). Choices: A. \\( f'(x_A) > f'(x_B) \\) B. \\( f'(x_A) < f'(x_B) \\) C. \\( f'(x_A) = f'... | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.375,
"PassRate_7BBase": -1,
"original_label": "\\boxed{B}",
"original_question": "<image>/nBased on the given images, answer the following question.\n\nGiven that the graph of the function \\( y = f(x) \\) is as shown in the image, the relationship between \\( f'(x_A) \\) and \\( f'(x... | |
<image>/nBased on the given images, answer the following question.
The function y = |log_{2} x| - 2^{-x} has how many zeros? ( ) Choices: A. 1 B. 2 C. 3 D. 4 | \boxed{B} | 1 | 0 | (GradeSchool) Non-Geo Math | Processed | Processed-aa306b6e-93fe-44ab-8966-a8d2b5a1ef25 | ViRL39K | [
{
"content": "/nBased on the given images, answer the following question.\n\nThe function y = |log_{2} x| - 2^{-x} has how many zeros? ( ) Choices: A. 1 B. 2 C. 3 D. 4",
"role": "user"
}
] | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0,
"original_label": "\\boxed{B}",
"original_question": "<image>/nBased on the given images, answer the following question.\n\nThe function y = |log_{2} x| - 2^{-x} has how many zeros? ( ) Choices: A. 1 B. 2 C. 3 D. 4"
} | |
<image>
As shown in the figure, $AB$ is the diameter of $\odot O$, and point $C$ is a point on $\odot O$. Given $OA=3$, and $\angle OCA=40^\circ$, what is the area of the shaded region? | \boxed{2\pi} | 0.75 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-1547 | ViRL39K | [
{
"content": "As shown in the figure, $AB$ is the diameter of $\\odot O$, and point $C$ is a point on $\\odot O$. Given $OA=3$, and $\\angle OCA=40^\\circ$, what is the area of the shaded region?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{2\\pi}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.75,
"PassRate_7BBase": -1,
"original_label": "\\boxed{2\\pi}",
"original_question": "<image>\nAs shown in the figure, $AB$ is the diameter of $\\odot O$, and point $C$ is a point on $\\odot O$. Given $OA=3$, and $\\angle OCA=40^\\circ$, what is the area of the shaded region?"
} | |
Consider two real numbers a and b, whose positions are shown on a number line in the figure. Calculate and simplify the expression \(\sqrt{(a+1)^{2}}+\sqrt{(b-1)^{2}}-\sqrt{(a-b)^{2}}\). What is the simplified result?
The above problem is with the following images:
<image> | \boxed{-2} | 1 | 1 | (GradeSchool) Non-Geo Math | Processed | Processed-58b08330-a3ae-4373-8829-745c63f51928 | ViRL39K | [
{
"content": "Consider two real numbers a and b, whose positions are shown on a number line in the figure. Calculate and simplify the expression \\(\\sqrt{(a+1)^{2}}+\\sqrt{(b-1)^{2}}-\\sqrt{(a-b)^{2}}\\). What is the simplified result?\nThe above problem is with the following images:",
"role": "user"
}
] | {
"ground_truth": "\\boxed{-2}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{-2}",
"original_question": "Consider two real numbers a and b, whose positions are shown on a number line in the figure. Calculate and simplify the expression \\(\\sqrt{(a+1)^{2}}+\\sqrt{(b-1)^{2}}-\\sqrt{(a-b)^{2}}\\). What is the sim... | |
<image>
The figure shows a rectangular flower bed that is 4m long and 2m wide. Workers plant flowers in two circular sectors (shaded areas) with A and D as the centers and the width as the radius. The remaining part is planted with grass. Two people, Jia and Yi, play badminton next to the flower bed. If the shuttlecock... | \boxed{\frac{\pi }{4}} | 0.625 | -1 | (GradeSchool) Geometric | MMK12 | MMK12-d4799d9c-a5d6-4924-959f-f142a8f83613 | ViRL39K | [
{
"content": "The figure shows a rectangular flower bed that is 4m long and 2m wide. Workers plant flowers in two circular sectors (shaded areas) with A and D as the centers and the width as the radius. The remaining part is planted with grass. Two people, Jia and Yi, play badminton next to the flower bed. If t... | {
"ground_truth": "\\boxed{\\frac{\\pi }{4}}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.625,
"PassRate_7BBase": -1,
"original_label": "\\boxed{\\frac{\\pi }{4}}",
"original_question": "<image>\nThe figure shows a rectangular flower bed that is 4m long and 2m wide. Workers plant flowers in two circular sectors (shaded areas) with A and D as the centers and the width as th... | |
<image>
Is the color of the rightmost bar navy blue? | \boxed{Yes} | 0.25 | -1 | Tables/Diagrams/Charts | Processed | Processed-9bcb2216-6467-4b1e-96b3-349a2c70ea69 | ViRL39K | [
{
"content": "Is the color of the rightmost bar navy blue?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{Yes}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.25,
"PassRate_7BBase": -1,
"original_label": "\\boxed{Yes}",
"original_question": "<image>\nIs the color of the rightmost bar navy blue?"
} | |
<image>/n<image>/nBased on the given images, answer the following question.
In the given figure, point $O$ is the incenter of triangle $\triangle ABC$, with $\angle A=60^{\circ}$, $OB=2$, and $OC=4$. What is the area of triangle $\triangle OBC$? (Choose one: A. $4 \\sqrt{3}$ B. $2 \\sqrt{3}$ C. 2 D. 4) | \boxed{B} | 1 | 0 | (GradeSchool) Non-Geo Math | Processed | Processed-8cbfcf8a-933d-470e-8e96-0cd73c03c6e2 | ViRL39K | [
{
"content": "/n/nBased on the given images, answer the following question.\n\nIn the given figure, point $O$ is the incenter of triangle $\\triangle ABC$, with $\\angle A=60^{\\circ}$, $OB=2$, and $OC=4$. What is the area of triangle $\\triangle OBC$? (Choose one: A. $4 \\\\sqrt{3}$ B. $2 \\\\sqrt{3}$ C. 2 D. ... | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0,
"original_label": "\\boxed{B}",
"original_question": "<image>/n<image>/nBased on the given images, answer the following question.\n\nIn the given figure, point $O$ is the incenter of triangle $\\triangle ABC$, with $\\angle A=60^{\\circ}$, $OB=2$, and $OC=4$. Wh... | |
<image>
Given the flowchart of a program as shown in the figure, if the values of $$x$$ input are $$0$$, $$1$$, and $$2$$, the corresponding outputs of $$y$$ are $$a$$, $$b$$, and $$c$$, respectively. Then, $$a+b+c=$$______. | \boxed{6} | 1 | 0.75 | Broader STEM Topics | MMK12 | MMK12-07334f43-ba35-45ee-bb59-ee57a700e66d | ViRL39K | [
{
"content": "Given the flowchart of a program as shown in the figure, if the values of $$x$$ input are $$0$$, $$1$$, and $$2$$, the corresponding outputs of $$y$$ are $$a$$, $$b$$, and $$c$$, respectively. Then, $$a+b+c=$$______.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{6}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.75,
"original_label": "\\boxed{6}",
"original_question": "<image>\nGiven the flowchart of a program as shown in the figure, if the values of $$x$$ input are $$0$$, $$1$$, and $$2$$, the corresponding outputs of $$y$$ are $$a$$, $$b$$, and $$c$$, respectively. The... | |
What age group is the least represented in the population sample depicted in figure b)? Choose from the following options
A. <10
B. 20-30
C. 60-70
D. >70
## For Figure e):
Answer with the option's letter from the given choices directly. | \boxed{D} | 1 | 0.625 | Tables/Diagrams/Charts | Processed | Processed-068d1666-e23e-4192-b7d0-79e1fce2ee3a | ViRL39K | [
{
"content": "What age group is the least represented in the population sample depicted in figure b)? Choose from the following options\nA. <10\nB. 20-30\nC. 60-70\nD. >70\n## For Figure e):\nAnswer with the option's letter from the given choices directly.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.625,
"original_label": "\\boxed{D}",
"original_question": "What age group is the least represented in the population sample depicted in figure b)? Choose from the following options\nA. <10\nB. 20-30\nC. 60-70\nD. >70\n## For Figure e):\nAnswer with the option's l... | |
As shown in the figure, $AB$ is the diameter of $\odot O$, points C and D lie on $\odot O$, $\angle BCD=15^\circ$, what is the degree measure of $\angle AOD$?
<image> | \boxed{150} | 0.4375 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-2777 | ViRL39K | [
{
"content": "As shown in the figure, $AB$ is the diameter of $\\odot O$, points C and D lie on $\\odot O$, $\\angle BCD=15^\\circ$, what is the degree measure of $\\angle AOD$?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{150}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.4375,
"PassRate_7BBase": -1,
"original_label": "\\boxed{150}",
"original_question": "As shown in the figure, $AB$ is the diameter of $\\odot O$, points C and D lie on $\\odot O$, $\\angle BCD=15^\\circ$, what is the degree measure of $\\angle AOD$?\n<image>"
} | |
<image>
As shown in the figure, simplify $$\left \lvert a-\sqrt{3}\right \rvert-\left \lvert b+\sqrt{3}\right \rvert $$, the result is ___. | \boxed{-a-b} | 0.5 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-b290ccc7-5e88-4887-b102-43f1649a5e92 | ViRL39K | [
{
"content": "As shown in the figure, simplify $$\\left \\lvert a-\\sqrt{3}\\right \\rvert-\\left \\lvert b+\\sqrt{3}\\right \\rvert $$, the result is ___.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{-a-b}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.5,
"PassRate_7BBase": -1,
"original_label": "\\boxed{-a-b}",
"original_question": "<image>\nAs shown in the figure, simplify $$\\left \\lvert a-\\sqrt{3}\\right \\rvert-\\left \\lvert b+\\sqrt{3}\\right \\rvert $$, the result is ___."
} | |
As shown in the figure, the parabola $y=ax^{2}+2ax+1$ has only one common point A with the x-axis. The line passing through point A intersects the parabola at point B and the y-axis at point C, and point C is the midpoint of line segment AB. What is the analytical expression of the function corresponding to this parabo... | \boxed{y=x^{2}+2x+1} | 1 | 1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-3377 | ViRL39K | [
{
"content": "As shown in the figure, the parabola $y=ax^{2}+2ax+1$ has only one common point A with the x-axis. The line passing through point A intersects the parabola at point B and the y-axis at point C, and point C is the midpoint of line segment AB. What is the analytical expression of the function corres... | {
"ground_truth": "\\boxed{y=x^{2}+2x+1}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{y=x^{2}+2x+1}",
"original_question": "As shown in the figure, the parabola $y=ax^{2}+2ax+1$ has only one common point A with the x-axis. The line passing through point A intersects the parabola at point B and the y-axis at point C, and... | |
<image>Which is the main persuasive appeal used in this ad?
A. ethos (character)
B. logos (reason)
C. pathos (emotion) | \boxed{A} | 1 | 0.4375 | Social Science | ScienceQA | ScienceQA-28625 | ViRL39K | [
{
"content": "Which is the main persuasive appeal used in this ad?\nA. ethos (character)\nB. logos (reason)\nC. pathos (emotion)",
"role": "user"
}
] | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.4375,
"original_label": "\\boxed{A}",
"original_question": "<image>Which is the main persuasive appeal used in this ad?\nA. ethos (character)\nB. logos (reason)\nC. pathos (emotion)"
} | |
<image>
As shown in the figure, the edge length of the cube is 2. The volume of the polyhedron formed by the centers of all its faces as vertices is. | \boxed{\frac{4}{3}} | 0.625 | -1 | Spatial Reasoning | MMK12 | MMK12-a075e1f4-cb4c-4cf8-8fc5-97df81271ab3 | ViRL39K | [
{
"content": "As shown in the figure, the edge length of the cube is 2. The volume of the polyhedron formed by the centers of all its faces as vertices is.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{\\frac{4}{3}}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.625,
"PassRate_7BBase": -1,
"original_label": "\\boxed{\\frac{4}{3}}",
"original_question": "<image>\nAs shown in the figure, the edge length of the cube is 2. The volume of the polyhedron formed by the centers of all its faces as vertices is."
} | |
<image>
Given that △PBC's area is 10 cm², AP is perpendicular to the angle bisector BP of ∠B, and AP intersects BC at P, find the ratio of the lengths of AB to AC | \boxed{1:1} | 0.75 | -1 | (GradeSchool) Geometric | Processed | Processed-3b7058c6-f8b2-4b8f-a914-88434bf4a817 | ViRL39K | [
{
"content": "Given that △PBC's area is 10 cm², AP is perpendicular to the angle bisector BP of ∠B, and AP intersects BC at P, find the ratio of the lengths of AB to AC",
"role": "user"
}
] | {
"ground_truth": "\\boxed{1:1}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.75,
"PassRate_7BBase": -1,
"original_label": "\\boxed{1:1}",
"original_question": "<image>\nGiven that △PBC's area is 10 cm², AP is perpendicular to the angle bisector BP of ∠B, and AP intersects BC at P, find the ratio of the lengths of AB to AC"
} | |
<image>In the figure, in $\Delta ABC$, $DE//BC$, $\frac{AD}{DB}=\frac{1}{2}$, $DE=2$, then the length of $BC$ is. | \boxed{6} | 1 | 0.984375 | (GradeSchool) Non-Geo Math | K12 | K12-8858 | ViRL39K | [
{
"content": "In the figure, in $\\Delta ABC$, $DE//BC$, $\\frac{AD}{DB}=\\frac{1}{2}$, $DE=2$, then the length of $BC$ is.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{6}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.984375,
"original_label": "\\boxed{6}",
"original_question": "<image>In the figure, in $\\Delta ABC$, $DE//BC$, $\\frac{AD}{DB}=\\frac{1}{2}$, $DE=2$, then the length of $BC$ is."
} | |
<image>
In the figure, point D is any point on side BC of triangle ABC, points E and F are the midpoints of segments AD and CE, respectively. If the area of triangle ABC is 12, what is the area of triangle BEF?
Choices:
(A) 6
(B) 4
(C) 3
(D) 4.8 | \boxed{C} | 1 | 0.5 | (GradeSchool) Geometric | Processed | Processed-7c2e455e-7cfe-4d75-ba6f-823fbc259998 | ViRL39K | [
{
"content": "In the figure, point D is any point on side BC of triangle ABC, points E and F are the midpoints of segments AD and CE, respectively. If the area of triangle ABC is 12, what is the area of triangle BEF?\nChoices:\n(A) 6\n(B) 4\n(C) 3\n(D) 4.8",
"role": "user"
}
] | {
"ground_truth": "\\boxed{C}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.5,
"original_label": "\\boxed{C}",
"original_question": "<image>\nIn the figure, point D is any point on side BC of triangle ABC, points E and F are the midpoints of segments AD and CE, respectively. If the area of triangle ABC is 12, what is the area of triangle... | |
<image>
In a mouse $$(\text{2N=40})$$ embryo, a certain cell undergoes the depicted abnormal division (all unillustrated chromosomes are normal), where $$\text{A}$$ is a tumor suppressor gene, and $$\text{a}$$ is a mutated gene of $$\text{A}$$. Which of the following statements is correct? ( )
A. The daughter cell $$... | \boxed{A} | 1 | 0.5 | (GradeSchool) Science | MMK12 | MMK12-5b16fcf1-5820-48a0-a74f-27c95cd0c170 | ViRL39K | [
{
"content": "In a mouse $$(\\text{2N=40})$$ embryo, a certain cell undergoes the depicted abnormal division (all unillustrated chromosomes are normal), where $$\\text{A}$$ is a tumor suppressor gene, and $$\\text{a}$$ is a mutated gene of $$\\text{A}$$. Which of the following statements is correct? ( ) \nA. T... | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.5,
"original_label": "\\boxed{A}",
"original_question": "<image>\nIn a mouse $$(\\text{2N=40})$$ embryo, a certain cell undergoes the depicted abnormal division (all unillustrated chromosomes are normal), where $$\\text{A}$$ is a tumor suppressor gene, and $$\\te... | |
<image>
As shown in the figure, in rectangle $ABCD$, $AB=6cm$, $BC=12cm$. Point $P$ starts from $A$ and moves towards point $B$ along $AB$ at a speed of $1cm/s$, while point $Q$ starts from point $B$ and moves towards point $C$ along $BC$ at a speed of $2cm/s$ (both $P$ and $Q$ stop moving once they reach points $B$ an... | \boxed{A} | 0.875 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-e26cf3f2-11bb-4495-a156-02692f255c21 | ViRL39K | [
{
"content": "As shown in the figure, in rectangle $ABCD$, $AB=6cm$, $BC=12cm$. Point $P$ starts from $A$ and moves towards point $B$ along $AB$ at a speed of $1cm/s$, while point $Q$ starts from point $B$ and moves towards point $C$ along $BC$ at a speed of $2cm/s$ (both $P$ and $Q$ stop moving once they reach... | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.875,
"PassRate_7BBase": -1,
"original_label": "\\boxed{A}",
"original_question": "<image>\nAs shown in the figure, in rectangle $ABCD$, $AB=6cm$, $BC=12cm$. Point $P$ starts from $A$ and moves towards point $B$ along $AB$ at a speed of $1cm/s$, while point $Q$ starts from point $B$ an... | |
<image>
In triangle $XYZ$, $\angle Y = 90^\circ$, $YZ = 4$, and $XY = 5$. What is $\tan X$? Let's think step by step and output the final answer within \boxed{}. | \boxed{\frac{4}{3}} | 0.875 | -1 | (GradeSchool) Non-Geo Math | DeepScaleR | DeepScaleR-30253 | ViRL39K | [
{
"content": "In triangle $XYZ$, $\\angle Y = 90^\\circ$, $YZ = 4$, and $XY = 5$. What is $\\tan X$? Let's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{\\frac{4}{3}}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.875,
"PassRate_7BBase": -1,
"original_label": "\\boxed{\\frac{4}{3}}",
"original_question": "<image>\nIn triangle $XYZ$, $\\angle Y = 90^\\circ$, $YZ = 4$, and $XY = 5$. What is $\\tan X$? Let's think step by step and output the final answer within \\boxed{}."
} | |
<image>Two magnets are placed as shown.
Hint: Magnets that attract pull together. Magnets that repel push apart.
Will these magnets attract or repel each other?
A. repel
B. attract | \boxed{A} | 0.75 | -1 | (GradeSchool) Science | M3CoT | M3CoT-47939 | ViRL39K | [
{
"content": "Two magnets are placed as shown.\n\nHint: Magnets that attract pull together. Magnets that repel push apart.\nWill these magnets attract or repel each other?\nA. repel\nB. attract",
"role": "user"
}
] | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.75,
"PassRate_7BBase": -1,
"original_label": "\\boxed{A}",
"original_question": "<image>Two magnets are placed as shown.\n\nHint: Magnets that attract pull together. Magnets that repel push apart.\nWill these magnets attract or repel each other?\nA. repel\nB. attract"
} | |
What does the sequence of images (a), (b), and (c) likely represent in terms of biological process? Choose from the following options
A. The growth stages of a plant root.
B. The sequential phases of bacterial conjugation.
C. The mitotic stages of a eukaryotic cell.
D. The development cycle of a sea urchin embryo.
Prov... | \boxed{B} | 1 | 0.875 | (GradeSchool) Science | Processed | Processed-ae38577f-b6cb-4e2a-bca2-338c66fcd5ef | ViRL39K | [
{
"content": "What does the sequence of images (a), (b), and (c) likely represent in terms of biological process? Choose from the following options\nA. The growth stages of a plant root.\nB. The sequential phases of bacterial conjugation.\nC. The mitotic stages of a eukaryotic cell.\nD. The development cycle of... | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.875,
"original_label": "\\boxed{B}",
"original_question": "What does the sequence of images (a), (b), and (c) likely represent in terms of biological process? Choose from the following options\nA. The growth stages of a plant root.\nB. The sequential phases of ba... | |
As shown in the figure, in the Cartesian coordinate system, the vertices $B$ and $C$ of rectangle $ABCD$ are located on the positive half of the $x$-axis, with $AB=8$ and $BC=6$. The diagonals $AC$ and $BD$ intersect at point $E$. The graph of the inverse proportion function $y=\frac{k}{x}$ (for $x>0$) passes through p... | \boxed{\frac{9}{2}} | 0.125 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-3270 | ViRL39K | [
{
"content": "As shown in the figure, in the Cartesian coordinate system, the vertices $B$ and $C$ of rectangle $ABCD$ are located on the positive half of the $x$-axis, with $AB=8$ and $BC=6$. The diagonals $AC$ and $BD$ intersect at point $E$. The graph of the inverse proportion function $y=\\frac{k}{x}$ (for ... | {
"ground_truth": "\\boxed{\\frac{9}{2}}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{\\frac{9}{2}}",
"original_question": "As shown in the figure, in the Cartesian coordinate system, the vertices $B$ and $C$ of rectangle $ABCD$ are located on the positive half of the $x$-axis, with $AB=8$ and $BC=6$. The diagonals... | |
<image>/nBased on the given images, answer the following question.
In triangle ABC, where ∠B measures 45°, ∠C measures 60°, and AD is perpendicular to BC at point D with BD = √3, and E and F are midpoints of AB and BC respectively, calculate the length of EF. | \boxed{1} | 0.875 | -1 | (GradeSchool) Non-Geo Math | Processed | Processed-92c3333c-5f54-4a2e-a29e-135035404ffe | ViRL39K | [
{
"content": "/nBased on the given images, answer the following question.\n\nIn triangle ABC, where ∠B measures 45°, ∠C measures 60°, and AD is perpendicular to BC at point D with BD = √3, and E and F are midpoints of AB and BC respectively, calculate the length of EF.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{1}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.875,
"PassRate_7BBase": -1,
"original_label": "\\boxed{1}",
"original_question": "<image>/nBased on the given images, answer the following question.\n\nIn triangle ABC, where ∠B measures 45°, ∠C measures 60°, and AD is perpendicular to BC at point D with BD = √3, and E and F are midpo... | |
<image>
As shown in the figure, EF is the midline of △ABC, and the perimeter of △ABC is 6 cm. What is the perimeter of △AEF? | \boxed{3} | 1 | 1 | (GradeSchool) Geometric | MMK12 | MMK12-7bd0c665-6a9c-452d-aa1d-191792004587 | ViRL39K | [
{
"content": "As shown in the figure, EF is the midline of △ABC, and the perimeter of △ABC is 6 cm. What is the perimeter of △AEF?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{3}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{3}",
"original_question": "<image>\nAs shown in the figure, EF is the midline of △ABC, and the perimeter of △ABC is 6 cm. What is the perimeter of △AEF?"
} | |
<image>
As shown in the figure, the quadrilateral $ABCD$ is a rhombus with the coordinates of points $A$ and $B$ being $(\sqrt{3}, 0)$ and $(0, 1)$, respectively. If points $C$ and $D$ are on the coordinate axes, what is the perimeter of the rhombus $ABCD$? | \boxed{8} | 0.875 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-450 | ViRL39K | [
{
"content": "As shown in the figure, the quadrilateral $ABCD$ is a rhombus with the coordinates of points $A$ and $B$ being $(\\sqrt{3}, 0)$ and $(0, 1)$, respectively. If points $C$ and $D$ are on the coordinate axes, what is the perimeter of the rhombus $ABCD$?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{8}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.875,
"PassRate_7BBase": -1,
"original_label": "\\boxed{8}",
"original_question": "<image>\nAs shown in the figure, the quadrilateral $ABCD$ is a rhombus with the coordinates of points $A$ and $B$ being $(\\sqrt{3}, 0)$ and $(0, 1)$, respectively. If points $C$ and $D$ are on the coord... | |
<image>/nBased on the given images, answer the following question.
As shown in the figure, the quadrilateral ABCD is a cyclic quadrilateral inscribed in circle \(\odot O\). Connect OB and OD. If \(\angle BOD = 108^\circ\), then \(\angle BCD =\ ?\ \text{degrees}. | \boxed{126} | 1 | 1 | (GradeSchool) Non-Geo Math | Processed | Processed-d15dcc74-67c9-4e8a-9271-91467d45e127 | ViRL39K | [
{
"content": "/nBased on the given images, answer the following question.\n\nAs shown in the figure, the quadrilateral ABCD is a cyclic quadrilateral inscribed in circle \\(\\odot O\\). Connect OB and OD. If \\(\\angle BOD = 108^\\circ\\), then \\(\\angle BCD =\\ ?\\ \\text{degrees}.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{126}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{126}",
"original_question": "<image>/nBased on the given images, answer the following question.\n\nAs shown in the figure, the quadrilateral ABCD is a cyclic quadrilateral inscribed in circle \\(\\odot O\\). Connect OB and OD. If \\(\\... | |
<image>As shown in the figure, ∠DAB = ∠EAC = 65°, AB = AD, AC = AE, BE and CD intersect at point O, AB and CD intersect at P, AC and BE intersect at F. What is the measure of ∠DOE? | \boxed{115°} | 0.125 | -1 | (GradeSchool) Non-Geo Math | K12 | K12-10488 | ViRL39K | [
{
"content": "As shown in the figure, ∠DAB = ∠EAC = 65°, AB = AD, AC = AE, BE and CD intersect at point O, AB and CD intersect at P, AC and BE intersect at F. What is the measure of ∠DOE?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{115°}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{115°}",
"original_question": "<image>As shown in the figure, ∠DAB = ∠EAC = 65°, AB = AD, AC = AE, BE and CD intersect at point O, AB and CD intersect at P, AC and BE intersect at F. What is the measure of ∠DOE?"
} | |
<image>Your objective is to recognize the scientific name of the organism based on the provided image.
A. Atelopus zeteki
B. Hyla japonica
C. Bufo guttatus | \boxed{A} | 0.875 | -1 | (GradeSchool) Science | M3CoT | M3CoT-52492 | ViRL39K | [
{
"content": "Your objective is to recognize the scientific name of the organism based on the provided image.\nA. Atelopus zeteki\nB. Hyla japonica\nC. Bufo guttatus",
"role": "user"
}
] | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.875,
"PassRate_7BBase": -1,
"original_label": "\\boxed{A}",
"original_question": "<image>Your objective is to recognize the scientific name of the organism based on the provided image.\nA. Atelopus zeteki\nB. Hyla japonica\nC. Bufo guttatus"
} | |
<image>
A certain organization has 200 employees, and their age distribution is as follows: To understand the health status of the employees, a stratified sampling method is used to draw a sample of 40 for investigation. The number of employees aged [30,40) that should be sampled is ______. | \boxed{18} | 1 | 1 | Tables/Diagrams/Charts | MMK12 | MMK12-89091db7-50d1-4eed-8a3c-14d92db20319 | ViRL39K | [
{
"content": "A certain organization has 200 employees, and their age distribution is as follows: To understand the health status of the employees, a stratified sampling method is used to draw a sample of 40 for investigation. The number of employees aged [30,40) that should be sampled is ______.",
"role":... | {
"ground_truth": "\\boxed{18}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{18}",
"original_question": "<image>\nA certain organization has 200 employees, and their age distribution is as follows: To understand the health status of the employees, a stratified sampling method is used to draw a sample of 40 for... | |
<image>
The partial graph of the function $f(x)=A\sin (\omega x+\varphi )(A,\omega > 0,0 < \varphi < \pi)$ is shown in the figure, where the distance between points $A$ and $B$ is $5$. Then, $\omega +\varphi =$ | \boxed{\frac{7}{6}\pi} | 0.125 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-bc4829f2-0a41-4424-a9bc-495afa8d757f | ViRL39K | [
{
"content": "The partial graph of the function $f(x)=A\\sin (\\omega x+\\varphi )(A,\\omega > 0,0 < \\varphi < \\pi)$ is shown in the figure, where the distance between points $A$ and $B$ is $5$. Then, $\\omega +\\varphi =$",
"role": "user"
}
] | {
"ground_truth": "\\boxed{\\frac{7}{6}\\pi}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{\\frac{7}{6}\\pi}",
"original_question": "<image>\nThe partial graph of the function $f(x)=A\\sin (\\omega x+\\varphi )(A,\\omega > 0,0 < \\varphi < \\pi)$ is shown in the figure, where the distance between points $A$ and $B$ is... | |
<image>
As shown in the figure, $\triangle ABC$ and $\triangle A'B'C'$ are similar figures with the point $O$ as the center of similitude. If $OA:OA'=2:3$, what is the ratio of the areas of $\triangle ABC$ and $\triangle A'B'C'$? | \boxed{\frac{4}{9}} | 1 | 1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-146 | ViRL39K | [
{
"content": "As shown in the figure, $\\triangle ABC$ and $\\triangle A'B'C'$ are similar figures with the point $O$ as the center of similitude. If $OA:OA'=2:3$, what is the ratio of the areas of $\\triangle ABC$ and $\\triangle A'B'C'$?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{\\frac{4}{9}}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{\\frac{4}{9}}",
"original_question": "<image>\nAs shown in the figure, $\\triangle ABC$ and $\\triangle A'B'C'$ are similar figures with the point $O$ as the center of similitude. If $OA:OA'=2:3$, what is the ratio of the areas of $\\t... | |
<image>
As shown in the figure, BD bisects $\angle ABC$, and $\angle ACE$ is the exterior angle of $\vartriangle ABC$. CD bisects $\angle ACE$, and $\angle A=50{}^\circ$. What is the measure of $\angle D$? | \boxed{25^\circ} | 0.875 | -1 | (GradeSchool) Geometric | MMK12 | MMK12-7f92c5aa-5bce-440c-8ad9-e4d804504168 | ViRL39K | [
{
"content": "As shown in the figure, BD bisects $\\angle ABC$, and $\\angle ACE$ is the exterior angle of $\\vartriangle ABC$. CD bisects $\\angle ACE$, and $\\angle A=50{}^\\circ$. What is the measure of $\\angle D$?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{25^\\circ}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.875,
"PassRate_7BBase": -1,
"original_label": "\\boxed{25^\\circ}",
"original_question": "<image>\nAs shown in the figure, BD bisects $\\angle ABC$, and $\\angle ACE$ is the exterior angle of $\\vartriangle ABC$. CD bisects $\\angle ACE$, and $\\angle A=50{}^\\circ$. What is the measu... | |
<image>
Execute the program flowchart shown in the figure. If the input value of n is 4, then the output value of s is ______. | \boxed{7} | 1 | 1 | Tables/Diagrams/Charts | MMK12 | MMK12-111e7e18-3737-49c1-90d6-c9e6520cdc8d | ViRL39K | [
{
"content": "Execute the program flowchart shown in the figure. If the input value of n is 4, then the output value of s is ______.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{7}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{7}",
"original_question": "<image>\nExecute the program flowchart shown in the figure. If the input value of n is 4, then the output value of s is ______."
} | |
<image>
Is the Gold section exactly one third of the pie chart? | \boxed{No} | 1 | 1 | Tables/Diagrams/Charts | Processed | Processed-e40f9e8f-07fe-4cd2-b435-7a9cb47d437d | ViRL39K | [
{
"content": "Is the Gold section exactly one third of the pie chart?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{No}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{No}",
"original_question": "<image>\nIs the Gold section exactly one third of the pie chart?"
} | |
<image>
How many lines of symmetry does the hat have, including the dotted line? | \boxed{1} | 1 | 1 | (GradeSchool) Geometric | Processed | Processed-5275d7ec-ed62-4e08-9550-214e01882830 | ViRL39K | [
{
"content": "How many lines of symmetry does the hat have, including the dotted line?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{1}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{1}",
"original_question": "<image>\nHow many lines of symmetry does the hat have, including the dotted line?"
} | |
A rectangle has width x and length y. The rectangle is cut along horizontal and vertical lines to produce four smaller rectangles. The sum of the perimeters of these four smaller rectangles is 24. What is the value of x + y?
The above problem is with the following images:
<image> | \boxed{6} | 1 | 0.75 | (GradeSchool) Geometric | R1OneVisionConverted | R1OneVisionConverted-pcf-2024-10-15-Math-10 | ViRL39K | [
{
"content": "A rectangle has width x and length y. The rectangle is cut along horizontal and vertical lines to produce four smaller rectangles. The sum of the perimeters of these four smaller rectangles is 24. What is the value of x + y?\nThe above problem is with the following images:",
"role": "user"
}... | {
"ground_truth": "\\boxed{6}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.75,
"original_label": "\\boxed{6}",
"original_question": "A rectangle has width x and length y. The rectangle is cut along horizontal and vertical lines to produce four smaller rectangles. The sum of the perimeters of these four smaller rectangles is 24. What is ... | |
<image>
As shown in Figure A and Figure B, the readings of the electricity meter and the resistor box are correctly given by $\left( \right)$
A. $18236 kW\cdot h$ and $2481\Omega$
B. $ 1823.6 kW\cdot h$ and $2481\Omega$
C. $ 18236 kW\cdot h$ and $2418\Omega$
D. $ 1823.6 kW\cdot h$ and $1824\Omega$ | \boxed{B} | 1 | 0.875 | (GradeSchool) Science | MMK12 | MMK12-a9e880d6-3915-4ed7-80ba-e786ab46df0f | ViRL39K | [
{
"content": "As shown in Figure A and Figure B, the readings of the electricity meter and the resistor box are correctly given by $\\left( \\right)$ \nA. $18236 kW\\cdot h$ and $2481\\Omega$\nB. $ 1823.6 kW\\cdot h$ and $2481\\Omega$\nC. $ 18236 kW\\cdot h$ and $2418\\Omega$\nD. $ 1823.6 kW\\cdot h$ and $1824\... | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.875,
"original_label": "\\boxed{B}",
"original_question": "<image>\nAs shown in Figure A and Figure B, the readings of the electricity meter and the resistor box are correctly given by $\\left( \\right)$ \nA. $18236 kW\\cdot h$ and $2481\\Omega$\nB. $ 1823.6 kW\\... | |
<image>How many units did the worst selling item sell in the whole chart? | \boxed{1} | 1 | 1 | Tables/Diagrams/Charts | dvqa | dvqa-18963 | ViRL39K | [
{
"content": "How many units did the worst selling item sell in the whole chart?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{1}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{1}",
"original_question": "<image>How many units did the worst selling item sell in the whole chart?"
} | |
A geometric solid is composed of several identical small cubes. Its top view and side view are shown in the figure. The maximum number of small cubes needed to form this solid is ( )
<image><image_1>
Top View
<image><image_2>
Side View
A. 4
B. 5
C. 6
D. 7 | \boxed{D} | 0.125 | -1 | (GradeSchool) Non-Geo Math | Processed | Processed-f4adab1a-3d71-4729-96d4-6b3c0df19fd2 | ViRL39K | [
{
"content": "A geometric solid is composed of several identical small cubes. Its top view and side view are shown in the figure. The maximum number of small cubes needed to form this solid is ( )\n\n<image_1>\n\nTop View\n\n<image_2>\n\nSide View\nA. 4\nB. 5\nC. 6\nD. 7",
"role": "user"
}
] | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{D}",
"original_question": "A geometric solid is composed of several identical small cubes. Its top view and side view are shown in the figure. The maximum number of small cubes needed to form this solid is ( )\n\n<image><image_1>... | |
<image>What is the name of the colony shown?
A. North Carolina
B. South Carolina
C. Virginia
D. West Virginia | \boxed{C} | 1 | 0.25 | Social Science | ScienceQA | ScienceQA-39693 | ViRL39K | [
{
"content": "What is the name of the colony shown?\nA. North Carolina\nB. South Carolina\nC. Virginia\nD. West Virginia",
"role": "user"
}
] | {
"ground_truth": "\\boxed{C}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.25,
"original_label": "\\boxed{C}",
"original_question": "<image>What is the name of the colony shown?\nA. North Carolina\nB. South Carolina\nC. Virginia\nD. West Virginia"
} | |
<image>
If the first 18 elements are arranged in increasing order of atomic number, they can form a "snail" shape as shown in the figure, where each "·" represents an element, and point 1 represents the hydrogen element. Which of the following statements is incorrect? ( )
A. The stability of the simplest gaseous hydr... | \boxed{A} | 0.0625 | -1 | (GradeSchool) Science | MMK12 | MMK12-570309ad-2020-4cdf-8263-8f9d4837e723 | ViRL39K | [
{
"content": "If the first 18 elements are arranged in increasing order of atomic number, they can form a \"snail\" shape as shown in the figure, where each \"·\" represents an element, and point 1 represents the hydrogen element. Which of the following statements is incorrect? ( ) \nA. The stability of the si... | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.0625,
"PassRate_7BBase": -1,
"original_label": "\\boxed{A}",
"original_question": "<image>\nIf the first 18 elements are arranged in increasing order of atomic number, they can form a \"snail\" shape as shown in the figure, where each \"·\" represents an element, and point 1 represent... | |
<image>
Question: 175
What should be the height of the missing bar in the histogram?
A. 75
B. 0.7
C. 70
D. 60
E. 50
| \boxed{A} | 0.125 | -1 | Tables/Diagrams/Charts | Processed | Processed-556f9fcc-2710-4dd8-815e-50605c31aa25 | ViRL39K | [
{
"content": "Question: 175\nWhat should be the height of the missing bar in the histogram?\n \nA. 75\nB. 0.7\nC. 70\nD. 60\nE. 50",
"role": "user"
}
] | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{A}",
"original_question": "<image>\nQuestion: 175\nWhat should be the height of the missing bar in the histogram?\n \nA. 75\nB. 0.7\nC. 70\nD. 60\nE. 50\n"
} | |
<image>
As shown in the figure, it is a frequency distribution histogram of a sample. Based on the data in the graph, the mode and median can be estimated as ( )
A. 12.5; 12.5
B. 13; 13
C. 13; 12.5
D. 12.5; 13 | \boxed{D} | 0.125 | -1 | Tables/Diagrams/Charts | MMK12 | MMK12-e604fdac-1d06-462d-82bf-3abf34cf5d31 | ViRL39K | [
{
"content": "As shown in the figure, it is a frequency distribution histogram of a sample. Based on the data in the graph, the mode and median can be estimated as ( ) \nA. 12.5; 12.5\nB. 13; 13\nC. 13; 12.5\nD. 12.5; 13",
"role": "user"
}
] | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{D}",
"original_question": "<image>\nAs shown in the figure, it is a frequency distribution histogram of a sample. Based on the data in the graph, the mode and median can be estimated as ( ) \nA. 12.5; 12.5\nB. 13; 13\nC. 13; 12.5\... | |
<image>
In the operation program shown in the figure, if the initial input value of $x$ is 48, we find that the result of the 1st output is 24, the result of the 2nd output is 12, ... the result of the 2019th output is. | \boxed{0} | 1 | 0.625 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-304d1d6b-347f-4e91-ab81-50b3d0cff625 | ViRL39K | [
{
"content": "In the operation program shown in the figure, if the initial input value of $x$ is 48, we find that the result of the 1st output is 24, the result of the 2nd output is 12, ... the result of the 2019th output is.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{0}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.625,
"original_label": "\\boxed{0}",
"original_question": "<image>\nIn the operation program shown in the figure, if the initial input value of $x$ is 48, we find that the result of the 1st output is 24, the result of the 2nd output is 12, ... the result of the 2... | |
<image>
To make the following program calculate the result of "$$1+2+\cdots+100$$", the statement "$$i=i+1$$" should be added at ___ . | \boxed{3} | 0.875 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-2ad912e9-d860-4169-9a6e-426435baa286 | ViRL39K | [
{
"content": "To make the following program calculate the result of \"$$1+2+\\cdots+100$$\", the statement \"$$i=i+1$$\" should be added at ___ .",
"role": "user"
}
] | {
"ground_truth": "\\boxed{3}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.875,
"PassRate_7BBase": -1,
"original_label": "\\boxed{3}",
"original_question": "<image>\nTo make the following program calculate the result of \"$$1+2+\\cdots+100$$\", the statement \"$$i=i+1$$\" should be added at ___ ."
} | |
<image>The picture illustrates the topography of a specific place through a map. This image displays a topographical map of a specific location. In the graphic, there's a contour map alongside a directional pointer.
I would like to know the respective altitudes of the points Point A and Point B.
A. -10.1, 3.1
B. 3.1, -... | \boxed{D} | 0.75 | -1 | Social Science | M3CoT | M3CoT-31868 | ViRL39K | [
{
"content": "The picture illustrates the topography of a specific place through a map. This image displays a topographical map of a specific location. In the graphic, there's a contour map alongside a directional pointer.\nI would like to know the respective altitudes of the points Point A and Point B.\nA. -10... | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.75,
"PassRate_7BBase": -1,
"original_label": "\\boxed{D}",
"original_question": "<image>The picture illustrates the topography of a specific place through a map. This image displays a topographical map of a specific location. In the graphic, there's a contour map alongside a direction... | |
The below problem is with the following images:
<image><image>
In a rectangular cuboid with dimensions where $AA_1=AB=2$ and $AD=1$, if points $E$, $F$, and $G$ are the midpoints of $DD_1$, $AB$, and $CC_1$ respectively, what is the cosine of the angle between the non-coplanar lines $A_1E$ and $GF$? | \boxed{0} | 1 | 0.875 | Spatial Reasoning | Processed | Processed-6da2cb90-3cea-4e37-b9d0-506d4a117ec1 | ViRL39K | [
{
"content": "The below problem is with the following images:\n\nIn a rectangular cuboid with dimensions where $AA_1=AB=2$ and $AD=1$, if points $E$, $F$, and $G$ are the midpoints of $DD_1$, $AB$, and $CC_1$ respectively, what is the cosine of the angle between the non-coplanar lines $A_1E$ and $GF$?",
"ro... | {
"ground_truth": "\\boxed{0}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.875,
"original_label": "\\boxed{0}",
"original_question": "The below problem is with the following images:\n<image><image>\nIn a rectangular cuboid with dimensions where $AA_1=AB=2$ and $AD=1$, if points $E$, $F$, and $G$ are the midpoints of $DD_1$, $AB$, and $C... | |
<image>What activity are the people in the room most likely engaged in?
A. Having a family gathering
B. Watching a movie
C. Playing video games
D. Listening to music | \boxed{B} | 0.25 | -1 | Social Science | M3CoT | M3CoT-33496 | ViRL39K | [
{
"content": "What activity are the people in the room most likely engaged in?\nA. Having a family gathering\nB. Watching a movie\nC. Playing video games\nD. Listening to music",
"role": "user"
}
] | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.25,
"PassRate_7BBase": -1,
"original_label": "\\boxed{B}",
"original_question": "<image>What activity are the people in the room most likely engaged in?\nA. Having a family gathering\nB. Watching a movie\nC. Playing video games\nD. Listening to music"
} | |
<image>
(2016 Suzhou B3) According to the following algorithm statements, when the input x is 60, the output value of y is. | \boxed{31} | 1 | 1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-12b3fa3c-657b-4357-9ebc-bc4b71605868 | ViRL39K | [
{
"content": "(2016 Suzhou B3) According to the following algorithm statements, when the input x is 60, the output value of y is.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{31}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{31}",
"original_question": "<image>\n(2016 Suzhou B3) According to the following algorithm statements, when the input x is 60, the output value of y is."
} | |
<image>
Two cars, A and B, start from location A at the same time and travel to location B at their respective constant speeds. Car A arrives at B first, stops for 1 hour, and then returns at the same speed until the two cars meet. The speed of car B is 60 kilometers/hour. The graph below shows the distance y (kilomete... | \boxed{D} | 0.625 | -1 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-ac32a5dc-bea7-480e-a049-a5e6e0025b80 | ViRL39K | [
{
"content": "Two cars, A and B, start from location A at the same time and travel to location B at their respective constant speeds. Car A arrives at B first, stops for 1 hour, and then returns at the same speed until the two cars meet. The speed of car B is 60 kilometers/hour. The graph below shows the distan... | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.625,
"PassRate_7BBase": -1,
"original_label": "\\boxed{D}",
"original_question": "<image>\nTwo cars, A and B, start from location A at the same time and travel to location B at their respective constant speeds. Car A arrives at B first, stops for 1 hour, and then returns at the same s... | |
<image>
If the program flowchart shown in the figure is executed, with input $$x=-1$$, $$n=3$$, what is the output number $$S=$$___? | \boxed{-4} | 1 | 1 | Broader STEM Topics | MMK12 | MMK12-7951820b-1b5f-4068-9ad6-828976bf3558 | ViRL39K | [
{
"content": "If the program flowchart shown in the figure is executed, with input $$x=-1$$, $$n=3$$, what is the output number $$S=$$___?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{-4}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{-4}",
"original_question": "<image>\nIf the program flowchart shown in the figure is executed, with input $$x=-1$$, $$n=3$$, what is the output number $$S=$$___?"
} | |
<image>What is the sum of all the values in the neck group? | \boxed{5} | 0.75 | -1 | Tables/Diagrams/Charts | dvqa | dvqa-49195 | ViRL39K | [
{
"content": "What is the sum of all the values in the neck group?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{5}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.75,
"PassRate_7BBase": -1,
"original_label": "\\boxed{5}",
"original_question": "<image>What is the sum of all the values in the neck group?"
} | |
In 2015, how many countries achieved fiscal surpluses?
The above problem is with the following images:
<image> | \boxed{0} | 0.8125 | -1 | Social Science | M3CoTConverted | M3CoTConverted-37067 | ViRL39K | [
{
"content": "In 2015, how many countries achieved fiscal surpluses?\nThe above problem is with the following images:",
"role": "user"
}
] | {
"ground_truth": "\\boxed{0}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.8125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{0}",
"original_question": "In 2015, how many countries achieved fiscal surpluses?\nThe above problem is with the following images:\n<image>"
} | |
<image>
As shown in the figure, the perimeter of the triangle is 24 cm, and the area is 24 square cm. What is the area of the circle in square cm? | \boxed{4\pi} | 1 | 1 | (GradeSchool) Geometric | MMK12 | MMK12-42fb2c66-0d35-4374-ad20-b5d585a22bdf | ViRL39K | [
{
"content": "As shown in the figure, the perimeter of the triangle is 24 cm, and the area is 24 square cm. What is the area of the circle in square cm?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{4\\pi}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{4\\pi}",
"original_question": "<image>\nAs shown in the figure, the perimeter of the triangle is 24 cm, and the area is 24 square cm. What is the area of the circle in square cm?"
} | |
According to the "All" panel, what is the approximate value of the stellar mass function (φ(M_*) \(h^3/Mpc^3\)) at \(log(M_*/h^{-2} M_⊙) = 10.5\)? Choose from the following options
A) \(-2\)
B) \(-3\)
C) \(-4\)
D) \(-5\)
Return just the letter that identifies the correct answer. | \boxed{B} | 0.125 | -1 | Tables/Diagrams/Charts | Processed | Processed-795a2603-28ae-49dc-8d89-4dfdd5fbe997 | ViRL39K | [
{
"content": "According to the \"All\" panel, what is the approximate value of the stellar mass function (φ(M_*) \\(h^3/Mpc^3\\)) at \\(log(M_*/h^{-2} M_⊙) = 10.5\\)? Choose from the following options\nA) \\(-2\\)\nB) \\(-3\\)\nC) \\(-4\\)\nD) \\(-5\\)\nReturn just the letter that identifies the correct answer.... | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{B}",
"original_question": "According to the \"All\" panel, what is the approximate value of the stellar mass function (φ(M_*) \\(h^3/Mpc^3\\)) at \\(log(M_*/h^{-2} M_⊙) = 10.5\\)? Choose from the following options\nA) \\(-2\\)\nB)... | |
<image>
As shown in the figure, $AF$ and $AG$ are the altitudes of $\triangle ABC$ and $\triangle ADE$, respectively, with $\angle BAF = \angle DAG$. $\triangle ABC \sim \triangle ADE$; If $DE = 3$ and $\frac{AD}{AB} = \frac{2}{5}$, find the length of $BC$. | \boxed{\frac{15}{2}} | 1 | 1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-5656 | ViRL39K | [
{
"content": "As shown in the figure, $AF$ and $AG$ are the altitudes of $\\triangle ABC$ and $\\triangle ADE$, respectively, with $\\angle BAF = \\angle DAG$. $\\triangle ABC \\sim \\triangle ADE$; If $DE = 3$ and $\\frac{AD}{AB} = \\frac{2}{5}$, find the length of $BC$.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{\\frac{15}{2}}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{\\frac{15}{2}}",
"original_question": "<image>\nAs shown in the figure, $AF$ and $AG$ are the altitudes of $\\triangle ABC$ and $\\triangle ADE$, respectively, with $\\angle BAF = \\angle DAG$. $\\triangle ABC \\sim \\triangle ADE$; If... | |
<image>/nBased on the given images, answer the following question.
The base radii of two cylinders are R and r (R>r), respectively. The angles between the plane π and their generatrices are α and β, respectively (α<β<90°). The eccentricities of the ellipse formed by the oblique section are e₁ and e₂, respectively. Whi... | \boxed{A} | 0.625 | -1 | (GradeSchool) Non-Geo Math | Processed | Processed-73ff22ee-225c-4650-9da7-f977e85119df | ViRL39K | [
{
"content": "/nBased on the given images, answer the following question.\n\nThe base radii of two cylinders are R and r (R>r), respectively. The angles between the plane π and their generatrices are α and β, respectively (α<β<90°). The eccentricities of the ellipse formed by the oblique section are e₁ and e₂, ... | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.625,
"PassRate_7BBase": -1,
"original_label": "\\boxed{A}",
"original_question": "<image>/nBased on the given images, answer the following question.\n\nThe base radii of two cylinders are R and r (R>r), respectively. The angles between the plane π and their generatrices are α and β, r... | |
<image>
As shown in the figure, the small dots represent the nodes of the network, and the lines connecting the nodes indicate that they are connected by network cables. The numbers marked on the lines represent the maximum amount of information that can pass through that segment of cable in a unit of time. Now, inform... | \boxed{19} | 0.125 | -1 | Tables/Diagrams/Charts | MMK12 | MMK12-d8f5b09f-0971-4714-830e-ed2125235151 | ViRL39K | [
{
"content": "As shown in the figure, the small dots represent the nodes of the network, and the lines connecting the nodes indicate that they are connected by network cables. The numbers marked on the lines represent the maximum amount of information that can pass through that segment of cable in a unit of tim... | {
"ground_truth": "\\boxed{19}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{19}",
"original_question": "<image>\nAs shown in the figure, the small dots represent the nodes of the network, and the lines connecting the nodes indicate that they are connected by network cables. The numbers marked on the lines... | |
<image>
$$^{239}_{\,\,92}U$$ has multiple decay pathways, one of which is to first decay into $$^{210}_{\,\,83}Bi$$, then it can decay once into $$^{210}_aX$$ (where $$X$$ represents a certain element), or decay once into $$^{\,\,b}_{81}Ti$$, and finally decay into $$^{206}_{\,\,82}Pb$$. The decay pathways are shown in... | \boxed{B} | 1 | 1 | (GradeSchool) Science | MMK12 | MMK12-4ce62128-559c-4fbd-a1af-b096cd4a1b8c | ViRL39K | [
{
"content": "$$^{239}_{\\,\\,92}U$$ has multiple decay pathways, one of which is to first decay into $$^{210}_{\\,\\,83}Bi$$, then it can decay once into $$^{210}_aX$$ (where $$X$$ represents a certain element), or decay once into $$^{\\,\\,b}_{81}Ti$$, and finally decay into $$^{206}_{\\,\\,82}Pb$$. The decay... | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{B}",
"original_question": "<image>\n$$^{239}_{\\,\\,92}U$$ has multiple decay pathways, one of which is to first decay into $$^{210}_{\\,\\,83}Bi$$, then it can decay once into $$^{210}_aX$$ (where $$X$$ represents a certain element), ... | |
<image>
A batch of products' lengths (unit: millimeters) were sampled and inspected, and the following figure shows the frequency distribution histogram of the inspection results. According to the standard, products with lengths in the interval [20,25) are first-grade, in the intervals [15,20) and [25,30) are second-gr... | \boxed{{0.45}} | 1 | 0.625 | Tables/Diagrams/Charts | MMK12 | MMK12-82f88c22-c86e-4270-ad2b-d439b6236437 | ViRL39K | [
{
"content": "A batch of products' lengths (unit: millimeters) were sampled and inspected, and the following figure shows the frequency distribution histogram of the inspection results. According to the standard, products with lengths in the interval [20,25) are first-grade, in the intervals [15,20) and [25,30)... | {
"ground_truth": "\\boxed{{0.45}}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.625,
"original_label": "\\boxed{{0.45}}",
"original_question": "<image>\nA batch of products' lengths (unit: millimeters) were sampled and inspected, and the following figure shows the frequency distribution histogram of the inspection results. According to the s... | |
<image>Here is a image showcasing the economic status of Country 2 and Country 3.
Based on the image provided, can you determine the average hourly wages of Country 2 and Country 3 for the year 2019?
A. 13.40 ($/h), 98.05 ($/h)
B. 109.32 ($/h), 13.40 ($/h)
C. 13.40 ($/h), 109.32 ($/h)
D. 98.05 ($/h), 13.40 ($/h) | \boxed{C} | 1 | 1 | Social Science | M3CoT | M3CoT-1861 | ViRL39K | [
{
"content": "Here is a image showcasing the economic status of Country 2 and Country 3.\nBased on the image provided, can you determine the average hourly wages of Country 2 and Country 3 for the year 2019?\nA. 13.40 ($/h), 98.05 ($/h)\nB. 109.32 ($/h), 13.40 ($/h)\nC. 13.40 ($/h), 109.32 ($/h)\nD. 98.05 ($/h)... | {
"ground_truth": "\\boxed{C}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{C}",
"original_question": "<image>Here is a image showcasing the economic status of Country 2 and Country 3.\nBased on the image provided, can you determine the average hourly wages of Country 2 and Country 3 for the year 2019?\nA. 13.... | |
<image>/nBased on the given images, answer the following question.
In triangle ABC, if AB = AC, point D is on AC such that BD = BC = AD, what is the degree of angle ABC? | \boxed{72} | 1 | 0.25 | (GradeSchool) Non-Geo Math | Processed | Processed-8a1293e3-89d8-4cb3-b791-4d54828eadbf | ViRL39K | [
{
"content": "/nBased on the given images, answer the following question.\n\nIn triangle ABC, if AB = AC, point D is on AC such that BD = BC = AD, what is the degree of angle ABC?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{72}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.25,
"original_label": "\\boxed{72}",
"original_question": "<image>/nBased on the given images, answer the following question.\n\nIn triangle ABC, if AB = AC, point D is on AC such that BD = BC = AD, what is the degree of angle ABC?"
} | |
<image>What is the capital of Arizona?
A. Denver
B. Phoenix
C. Olympia
D. Tucson | \boxed{B} | 1 | 0.546875 | Social Science | ScienceQA | ScienceQA-41036 | ViRL39K | [
{
"content": "What is the capital of Arizona?\nA. Denver\nB. Phoenix\nC. Olympia\nD. Tucson",
"role": "user"
}
] | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.546875,
"original_label": "\\boxed{B}",
"original_question": "<image>What is the capital of Arizona?\nA. Denver\nB. Phoenix\nC. Olympia\nD. Tucson"
} | |
<image>
In the figure, in △ABC, AB = AC = 10 cm, DE is the perpendicular bisector of AB, and the perimeter of △BDC is 16 cm. Then the length of BC is $\text{cm}$. | \boxed{6} | 1 | 0.875 | (GradeSchool) Geometric | MMK12 | MMK12-da345b67-53b7-4e1b-aaa0-0cb3eed173f7 | ViRL39K | [
{
"content": "In the figure, in △ABC, AB = AC = 10 cm, DE is the perpendicular bisector of AB, and the perimeter of △BDC is 16 cm. Then the length of BC is $\\text{cm}$.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{6}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.875,
"original_label": "\\boxed{6}",
"original_question": "<image>\nIn the figure, in △ABC, AB = AC = 10 cm, DE is the perpendicular bisector of AB, and the perimeter of △BDC is 16 cm. Then the length of BC is $\\text{cm}$."
} | |
<image>Examine the following questions carefully and evaluate whether option B in the image is the correct answer for each of them.
A. True
B. False
C. Not sure | \boxed{B} | 0.625 | -1 | (GradeSchool) Geometric | M3CoT | M3CoT-25162 | ViRL39K | [
{
"content": "Examine the following questions carefully and evaluate whether option B in the image is the correct answer for each of them.\nA. True\nB. False\nC. Not sure",
"role": "user"
}
] | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.625,
"PassRate_7BBase": -1,
"original_label": "\\boxed{B}",
"original_question": "<image>Examine the following questions carefully and evaluate whether option B in the image is the correct answer for each of them.\nA. True\nB. False\nC. Not sure"
} | |
<image>
How many times does the dog appear in the sequence? | \boxed{3} | 1 | 0.5 | Spatial Reasoning | Processed | Processed-ae96357f-96f0-4fd8-8cbf-931602bf685c | ViRL39K | [
{
"content": "How many times does the dog appear in the sequence?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{3}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.5,
"original_label": "\\boxed{3}",
"original_question": "<image>\nHow many times does the dog appear in the sequence?"
} | |
<image>/nBased on the given images, answer the following question.
In 'The Nine Chapters on the Mathematical Art - Chapter on Alligation', there is a problem: 'Now person A has 560 units of money, person B has 350 units of money, and person C has 180 units of money. The three people together have to pass through a che... | \boxed{B} | 1 | 1 | (GradeSchool) Non-Geo Math | Processed | Processed-969ee1ee-e045-4b20-9dc9-0afbcb7e2c33 | ViRL39K | [
{
"content": "/nBased on the given images, answer the following question.\n\nIn 'The Nine Chapters on the Mathematical Art - Chapter on Alligation', there is a problem: 'Now person A has 560 units of money, person B has 350 units of money, and person C has 180 units of money. The three people together have to p... | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{B}",
"original_question": "<image>/nBased on the given images, answer the following question.\n\nIn 'The Nine Chapters on the Mathematical Art - Chapter on Alligation', there is a problem: 'Now person A has 560 units of money, person B... | |
<image>
What is the ratio of the area of triangle AOF to the area of triangle EOF? | \boxed{1:1} | 0.5 | -1 | (GradeSchool) Geometric | Processed | Processed-c2e6ed8e-2f47-4a7c-80ee-f767ac43dd17 | ViRL39K | [
{
"content": "What is the ratio of the area of triangle AOF to the area of triangle EOF?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{1:1}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.5,
"PassRate_7BBase": -1,
"original_label": "\\boxed{1:1}",
"original_question": "<image>\nWhat is the ratio of the area of triangle AOF to the area of triangle EOF?"
} | |
<image>
In right triangle $ABC$, $\angle C = 90^\circ$, $BC = 6$, and $DE$ is the perpendicular bisector of the hypotenuse $AB$, intersecting $AC$ at point $E$. The perimeter of $\Delta EBC$ is 14. Therefore, $AB = $ | \boxed{10} | 1 | 0.5 | (GradeSchool) Geometric | MMK12 | MMK12-363e51b0-6ab0-4831-833a-8b7a964dc78e | ViRL39K | [
{
"content": "In right triangle $ABC$, $\\angle C = 90^\\circ$, $BC = 6$, and $DE$ is the perpendicular bisector of the hypotenuse $AB$, intersecting $AC$ at point $E$. The perimeter of $\\Delta EBC$ is 14. Therefore, $AB = $",
"role": "user"
}
] | {
"ground_truth": "\\boxed{10}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.5,
"original_label": "\\boxed{10}",
"original_question": "<image>\nIn right triangle $ABC$, $\\angle C = 90^\\circ$, $BC = 6$, and $DE$ is the perpendicular bisector of the hypotenuse $AB$, intersecting $AC$ at point $E$. The perimeter of $\\Delta EBC$ is 14. The... | |
<image>As shown in the figure, student Xiao Ming uses a self-made right-angled triangular cardboard EFG to measure the height of the tree AB. He adjusts his position to keep the hypotenuse EG horizontal, and the line of side EF passes through point A. It is known that the two legs of the cardboard EF = 60 cm, FG = 30 c... | \boxed{C} | 1 | 0.140625 | (GradeSchool) Geometric | geoqa_plus | geoqa_plus-1948 | ViRL39K | [
{
"content": "As shown in the figure, student Xiao Ming uses a self-made right-angled triangular cardboard EFG to measure the height of the tree AB. He adjusts his position to keep the hypotenuse EG horizontal, and the line of side EF passes through point A. It is known that the two legs of the cardboard EF = 6... | {
"ground_truth": "\\boxed{C}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.140625,
"original_label": "\\boxed{C}",
"original_question": "<image>As shown in the figure, student Xiao Ming uses a self-made right-angled triangular cardboard EFG to measure the height of the tree AB. He adjusts his position to keep the hypotenuse EG horizonta... | |
<image>
As shown in the figure, in the Cartesian coordinate system, the vertex $C$ of the parabola passing through points $A\left(0, 4\right)$ and $B\left(5, 9\right)$ is located on the positive half of the $x$-axis. What is the analytic equation of the parabola? | \boxed{y=(x-2)^{2}} | 0.5 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-5210 | ViRL39K | [
{
"content": "As shown in the figure, in the Cartesian coordinate system, the vertex $C$ of the parabola passing through points $A\\left(0, 4\\right)$ and $B\\left(5, 9\\right)$ is located on the positive half of the $x$-axis. What is the analytic equation of the parabola?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{y=(x-2)^{2}}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.5,
"PassRate_7BBase": -1,
"original_label": "\\boxed{y=(x-2)^{2}}",
"original_question": "<image>\nAs shown in the figure, in the Cartesian coordinate system, the vertex $C$ of the parabola passing through points $A\\left(0, 4\\right)$ and $B\\left(5, 9\\right)$ is located on the posi... | |
<image>
Is this greater than Teal?
Choices:
(A) no
(B) yes | \boxed{B} | 1 | 0.5 | Tables/Diagrams/Charts | Processed | Processed-8b457a5e-dec0-4581-8f3d-7ad95eaee2c6 | ViRL39K | [
{
"content": "Is this greater than Teal?\nChoices:\n(A) no\n(B) yes",
"role": "user"
}
] | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.5,
"original_label": "\\boxed{B}",
"original_question": "<image>\nIs this greater than Teal?\nChoices:\n(A) no\n(B) yes"
} | |
<image>
In the figure, in triangle ABC, AB = AC = 15, AD bisects ∠BAC, point E is the midpoint of AC, and DE is connected. If the perimeter of triangle CDE is 24, then the length of AD is. | \boxed{12} | 1 | 1 | (GradeSchool) Geometric | MMK12 | MMK12-baf9de8e-9377-41f7-8f48-067c32777c5e | ViRL39K | [
{
"content": "In the figure, in triangle ABC, AB = AC = 15, AD bisects ∠BAC, point E is the midpoint of AC, and DE is connected. If the perimeter of triangle CDE is 24, then the length of AD is.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{12}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 1,
"original_label": "\\boxed{12}",
"original_question": "<image>\nIn the figure, in triangle ABC, AB = AC = 15, AD bisects ∠BAC, point E is the midpoint of AC, and DE is connected. If the perimeter of triangle CDE is 24, then the length of AD is."
} | |
<image>
If ∠1 is 50°, what is the measure of ∠BOE? | \boxed{130°} | 0.75 | -1 | (GradeSchool) Geometric | Processed | Processed-5f202c26-9b40-4ed9-aaaa-59c728fab491 | ViRL39K | [
{
"content": "If ∠1 is 50°, what is the measure of ∠BOE?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{130°}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.75,
"PassRate_7BBase": -1,
"original_label": "\\boxed{130°}",
"original_question": "<image>\nIf ∠1 is 50°, what is the measure of ∠BOE?"
} | |
<image>
The figure on the right is a square formed by a tangram. The combined area of shapes $$5$$ and $$6$$ occupies ______ of the square. | \boxed{1/4} | 0.375 | -1 | (GradeSchool) Geometric | MMK12 | MMK12-60fec20a-1777-4dd8-92c0-4f533bd8cb5a | ViRL39K | [
{
"content": "The figure on the right is a square formed by a tangram. The combined area of shapes $$5$$ and $$6$$ occupies ______ of the square.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{1/4}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.375,
"PassRate_7BBase": -1,
"original_label": "\\boxed{1/4}",
"original_question": "<image>\nThe figure on the right is a square formed by a tangram. The combined area of shapes $$5$$ and $$6$$ occupies ______ of the square."
} | |
In triangle ABC, where ∠BAC is a right angle and AB equals AC, point A is the origin where line AE divides the triangle such that point B is on one side of AE and point C on the opposite. Given BD ⊥ AE at D and CE ⊥ AE at E, with CE = 3 and BD = 9, what is the length of DE?
The above problem is with the following image... | \boxed{6} | 1 | 0.875 | (GradeSchool) Geometric | MMK12Converted | MMK12Converted-6d275b51-a7d3-4325-ae36-2bb71808743d | ViRL39K | [
{
"content": "In triangle ABC, where ∠BAC is a right angle and AB equals AC, point A is the origin where line AE divides the triangle such that point B is on one side of AE and point C on the opposite. Given BD ⊥ AE at D and CE ⊥ AE at E, with CE = 3 and BD = 9, what is the length of DE?\nThe above problem is w... | {
"ground_truth": "\\boxed{6}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.875,
"original_label": "\\boxed{6}",
"original_question": "In triangle ABC, where ∠BAC is a right angle and AB equals AC, point A is the origin where line AE divides the triangle such that point B is on one side of AE and point C on the opposite. Given BD ⊥ AE at... | |
<image>As shown in the figure, AB and AC are two tangents to circle O, and B, C, and D are points on the arc BC. If it is known that ∠BAC = 80°, then ∠BDC = ( ) degrees.
A. 50
B. 80
C. 100
D. 120 | \boxed{A} | 0.875 | -1 | (GradeSchool) Geometric | geoqa_plus | geoqa_plus-730 | ViRL39K | [
{
"content": "As shown in the figure, AB and AC are two tangents to circle O, and B, C, and D are points on the arc BC. If it is known that ∠BAC = 80°, then ∠BDC = ( ) degrees.\nA. 50\nB. 80\nC. 100\nD. 120",
"role": "user"
}
] | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.875,
"PassRate_7BBase": -1,
"original_label": "\\boxed{A}",
"original_question": "<image>As shown in the figure, AB and AC are two tangents to circle O, and B, C, and D are points on the arc BC. If it is known that ∠BAC = 80°, then ∠BDC = ( ) degrees.\nA. 50\nB. 80\nC. 100\nD. 120"
} | |
Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
The above problem is with the following images:
<image> | \boxed{114.2} | 0.125 | -1 | (GradeSchool) Geometric | Processed | Processed-3226b6c8-e90c-4d65-aed5-deeb077fac36 | ViRL39K | [
{
"content": "Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.\nThe above problem is with the following images:",
"role": "user"
}
] | {
"ground_truth": "\\boxed{114.2}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{114.2}",
"original_question": "Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.\nThe above problem is with the following images:\n<image>"
} | |
<image>
As shown in the figure, with point O as the endpoint, make rays OA, OB, OC, OD, and OE in clockwise order. Moreover, OB is the bisector of $\angle AOC$ and OD is the bisector of $\angle COE$. When $\angle AOD = n^\circ$, then $\angle BOE = (150 - n)^\circ$. What is the degree measure of $\angle BOD$? | \boxed{50} | 0.375 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-4835 | ViRL39K | [
{
"content": "As shown in the figure, with point O as the endpoint, make rays OA, OB, OC, OD, and OE in clockwise order. Moreover, OB is the bisector of $\\angle AOC$ and OD is the bisector of $\\angle COE$. When $\\angle AOD = n^\\circ$, then $\\angle BOE = (150 - n)^\\circ$. What is the degree measure of $\\a... | {
"ground_truth": "\\boxed{50}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.375,
"PassRate_7BBase": -1,
"original_label": "\\boxed{50}",
"original_question": "<image>\nAs shown in the figure, with point O as the endpoint, make rays OA, OB, OC, OD, and OE in clockwise order. Moreover, OB is the bisector of $\\angle AOC$ and OD is the bisector of $\\angle COE$.... | |
<image>/n<image>/nBased on the given images, answer the following question.
As shown in the diagram, $AB$ is the diameter of circle $\odot O$. $C$ is a point on circle $\odot O$. A tangent to circle $\odot O$ is drawn through point $C$, intersecting the extension of $AB$ at point $D$. If $\angle A = 32^{\circ}$, then ... | \boxed{26} | 0.8125 | -1 | (GradeSchool) Non-Geo Math | Processed | Processed-56891879-2f2c-45c3-8377-75a9861c595c | ViRL39K | [
{
"content": "/n/nBased on the given images, answer the following question.\n\nAs shown in the diagram, $AB$ is the diameter of circle $\\odot O$. $C$ is a point on circle $\\odot O$. A tangent to circle $\\odot O$ is drawn through point $C$, intersecting the extension of $AB$ at point $D$. If $\\angle A = 32^{... | {
"ground_truth": "\\boxed{26}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.8125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{26}",
"original_question": "<image>/n<image>/nBased on the given images, answer the following question.\n\nAs shown in the diagram, $AB$ is the diameter of circle $\\odot O$. $C$ is a point on circle $\\odot O$. A tangent to circ... | |
<image>
如图，AB是⊙O的直径，CD是⊙O的弦，连接AC、AD、BD，若∠BAC＝34°，则∠ADC的度数为（）
Choices:
(A) 34°
(B) 55°
(C) 56°
(D) 65° | \boxed{C} | 1 | 0.625 | (GradeSchool) Geometric | Processed | Processed-aa5bf8de-74b5-4b4c-b915-ce32169f3608 | ViRL39K | [
{
"content": "如图，AB是⊙O的直径，CD是⊙O的弦，连接AC、AD、BD，若∠BAC＝34°，则∠ADC的度数为（）\nChoices:\n(A) 34°\n(B) 55°\n(C) 56°\n(D) 65°",
"role": "user"
}
] | {
"ground_truth": "\\boxed{C}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.625,
"original_label": "\\boxed{C}",
"original_question": "<image>\n如图，AB是⊙O的直径，CD是⊙O的弦，连接AC、AD、BD，若∠BAC＝34°，则∠ADC的度数为（）\nChoices:\n(A) 34°\n(B) 55°\n(C) 56°\n(D) 65°"
} | |
<image>
Determine the measure of angle 2.
Options:
(A) 29
(B) 52
(C) 57
(D) 123 | \boxed{B} | 0.8125 | -1 | (GradeSchool) Geometric | Processed | Processed-319a062e-b3d0-4f31-b960-8a453017167f | ViRL39K | [
{
"content": "Determine the measure of angle 2.\nOptions:\n(A) 29\n(B) 52\n(C) 57\n(D) 123",
"role": "user"
}
] | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.8125,
"PassRate_7BBase": -1,
"original_label": "\\boxed{B}",
"original_question": "<image>\nDetermine the measure of angle 2.\nOptions:\n(A) 29\n(B) 52\n(C) 57\n(D) 123"
} | |
<image>
Given that the point $(3,5)$ lies on the line $y=ax+b$ (where $a,b$ are constants, and $a \neq 0$), the value of $\dfrac{a}{b-5}$ is ___. | \boxed{-\dfrac{1}{3}} | 1 | 0.875 | (GradeSchool) Non-Geo Math | MMK12 | MMK12-c3e1327b-4da8-41b8-9a37-a6bf22ef59fb | ViRL39K | [
{
"content": "Given that the point $(3,5)$ lies on the line $y=ax+b$ (where $a,b$ are constants, and $a \\neq 0$), the value of $\\dfrac{a}{b-5}$ is ___.",
"role": "user"
}
] | {
"ground_truth": "\\boxed{-\\dfrac{1}{3}}",
"style": "rule"
} | {
"PassRate_32BTrained": 1,
"PassRate_7BBase": 0.875,
"original_label": "\\boxed{-\\dfrac{1}{3}}",
"original_question": "<image>\nGiven that the point $(3,5)$ lies on the line $y=ax+b$ (where $a,b$ are constants, and $a \\neq 0$), the value of $\\dfrac{a}{b-5}$ is ___."
} | |
When a set of triangular plates are stacked together as shown in the figure, what is the degree measure of $\angle \alpha$ in the diagram?
<image> | \boxed{15} | 0.625 | -1 | (GradeSchool) Non-Geo Math | MMMath | MMMath-756 | ViRL39K | [
{
"content": "When a set of triangular plates are stacked together as shown in the figure, what is the degree measure of $\\angle \\alpha$ in the diagram?",
"role": "user"
}
] | {
"ground_truth": "\\boxed{15}",
"style": "rule"
} | {
"PassRate_32BTrained": 0.625,
"PassRate_7BBase": -1,
"original_label": "\\boxed{15}",
"original_question": "When a set of triangular plates are stacked together as shown in the figure, what is the degree measure of $\\angle \\alpha$ in the diagram?\n<image>"
} |
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