ccccEsion/IMUG-Bench huggingface dataset:
Domain: Stack_Simulation / stack_math_expression

turn: 1
modality: image
input: Generate a single row of 5 consecutive, equally sized squares (white background, black border) to represent a stack. The squares should be placed side-by-side without gaps. The leftmost square is the stack bottom, and the stack grows to the right (towards the stack top). The stack is currently empty.
output: evaluation_points: 1. The image must contain exactly one row of 5 equally sized squares, arranged horizontally and consecutively, with white fill and black borders.

2. The 5 squares must be placed directly adjacent to each other, forming a single, continuous horizontal bar structure.

3. All squares must be completely empty inside, containing no characters, symbols, patterns, or any other markings.

4. The background should be simple and clean, clearly highlighting the grid structure without visual clutter.

turn: 2
modality: text
input: Referring to the empty stack you drew in Turn 1, push the characters '6', '-', and '7' into the stack in that order (from bottom to top). Then, immediately pop one character from the stack. Which character was popped?

Options:
A. 6
B. -
C. 7
D. 3
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Based on the stack state after the pop operation in Turn 2, now push the characters '3' and '*' into the stack, in that order. Using the same empty 5-square stack you drew in Turn 1, please generate the current state of the stack after these pushes.
output: evaluation_points: 1. Maintain the same 5-square horizontal layout from Turn 1: exactly one row of 5 equally sized squares, arranged horizontally and consecutively, with white fill and black borders, and the stack bottom on the left.

2. The stack should contain exactly 4 characters, occupying the first 4 squares from left to right: '6', '-', '3', '*'. (The character '6' and '-' are from the push operations in Turn 2, and '3' and '*' are from the push operations in Turn 3.)

3. The rightmost (5th) square must remain completely empty.

4. Each character must be placed within a single square, centered, clearly readable, and not overlapping or extending outside the square's borders.

turn: 4
modality: text
input: Starting from the stack state shown in Turn 3, pop all characters from the stack until it is empty. In this popping process, what is the third character to be popped?

Options:
A. 6
B. -
C. 7
D. 3
E. *
F. None of the above.
output: answer: B

turn: 5
modality: text
input: Consider all characters that were popped from the stack throughout this entire problem. If you combine them in the exact order they were popped, you will get a 5-character mathematical expression. What is the final numerical result of evaluating this expression?

Options:
A. 12
B. 15
C. 18
D. 21
E. None of the above.
output: answer: B
Domain: Stack_Simulation / stack_math_expression

turn: 1
modality: image
input: Generate a single row of 5 consecutive, equally sized squares (white background, black border) to represent a stack. The squares should be placed side-by-side without gaps. The leftmost square is the bottom of the stack, and the stack grows to the right towards the top. The stack is currently empty.
output: evaluation_points: 1. The image must contain exactly one row of 5 equally sized squares, arranged horizontally in a continuous line with white fill and black borders.

2. The 5 squares must be placed directly adjacent to each other, forming a single horizontal bar structure.

3. All squares must be completely empty inside, containing no characters, symbols, patterns, or any other markings.

4. The background should be clean and simple, clearly highlighting the grid structure of the stack.

turn: 2
modality: text
input: Starting from the empty stack you visualized in Turn 1, push the characters '8', '-', '4' into the stack in that order (from bottom to top). Then, immediately pop one character from the stack. Which character was popped?

Options:
A. 8
B. -
C. 4
D. 5
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Based on the stack state after the pop operation in Turn 2, now push the characters '5' and '*' into the stack, in that order. Using the same 5-square stack you drew in Turn 1, please generate the current state of the stack after these pushes.
output: evaluation_points: 1. Maintain the same 5-square horizontal stack structure (white background, black borders, bottom on the left) as generated in Turn 1 output image.

2. The stack should contain 4 characters: from left to right (bottom to top), the squares should contain '8', '-', '5', '*', occupying the first four squares.

3. The rightmost (fifth) square must remain empty.

4. Each character must be placed within a single square, centered, clearly legible, and not overlapping the borders or other characters.

turn: 4
modality: text
input: Starting from the stack state shown in Turn 3, pop all characters from the stack until it is empty. During this final popping process, which character is the third one to be popped?

Options:
A. 8
B. -
C. 4
D. 5
E. *
F. None of the above.
output: answer: B

turn: 5
modality: text
input: Consider all characters that were popped from the stack throughout this problem. If you combine them in the exact order they were popped, you get a 5-character arithmetic expression. What is the final numerical result of evaluating this expression?

Options:
A. 20
B. 12
C. -12
D. 3
E. None of the above.
output: answer: B
Domain: Stack_Simulation / stack_math_expression

turn: 1
modality: image
input: Generate a single horizontal row of 5 consecutive, equally sized squares (white background, black border) to represent a stack. The squares should be adjacent to each other. The leftmost square is the stack bottom, and the direction to the right is the stack top. The stack is currently empty.
output: evaluation_points: 1. The image must contain exactly one row of 5 equally sized squares, arranged horizontally and consecutively, with white backgrounds and black borders.

2. The 5 squares must be placed directly next to each other, forming a single, continuous horizontal bar structure.

3. All squares must be completely empty inside, containing no characters, symbols, patterns, or fill.

4. The background should be simple and clean, highlighting the grid structure.

turn: 2
modality: text
input: Into the empty stack shown in Turn 1, push the characters '4', '-', and '6' in order from the bottom to the top direction, and then immediately pop one character. Which character was popped?
Options:
A. 4
B. -
C. 6
D. 9
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Based on the stack state after the pop operation in Turn 2, now push the characters '9' and '+' in that order. Using the empty stack you drew in Turn 1 as the base, generate the current state of the stack after these pushes.
output: evaluation_points: 1. Maintain the same 5 horizontal, consecutive, equally sized squares (white background, black border) from Turn 1 output image, with the stack bottom on the left.

2. The stack should contain 4 characters: '4', '-', '9', and '+' occupying the first 4 squares from left to right, in that order.

3. The rightmost (5th) square must remain empty, consistent with the '5 consecutive squares' structure from Turn 1.

4. Each character must be centered within its own single square, clearly readable, with no overlapping or extending outside the box.

turn: 4
modality: text
input: Starting from the stack state shown in Turn 3, pop all characters from the stack until it is empty. In this popping process, what is the 3rd character to be popped?
Options:
A. 4
B. -
C. 6
D. 9
E. +
F. None of the above.
output: answer: B

turn: 5
modality: text
input: Consider all characters popped in this entire problem. If you combine them in the order they were popped, you get a 5-character expression. What is the final numerical result of this expression?
Options:
A. 11
B. 19
C. 1
D. -11
E. None of the above.
output: answer: A
Domain: Stack_Simulation / stack_math_expression

turn: 1
modality: image
input: Generate a single horizontal row of 5 consecutive squares (white background, black border) to represent a stack. The 5 squares must be equal in size and placed directly adjacent to each other. The leftmost square is the stack bottom, and the direction to the right is the stack top. The stack is currently empty.
output: evaluation_points: 1. The image contains exactly one row of 5 equal-sized squares, arranged horizontally in a continuous line, with white background and black borders.

2. The 5 squares are placed directly adjacent to each other, forming a single horizontal bar structure.

3. All squares are completely empty inside, with no characters, patterns, or fillers present.

4. The background is clean and simple, clearly highlighting the square structure.

turn: 2
modality: text
input: Into the empty stack shown in Turn 1, push the characters '2', '/', and '8' in order from the bottom to the top direction, then immediately pop one character. Which character was popped?
Options:
A. 2
B. /
C. 8
D. 6
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Based on the stack state after the pop operation in Turn 2, now push the characters '6' and '-' in that order. Using the empty stack you drew in Turn 1 as the base, generate the current state of the stack.
output: evaluation_points: 1. Maintain the same 5 horizontal consecutive squares (white background, black border) as specified in Turn 1's input text, with the stack bottom on the left. The squares must be equal in size and placed directly adjacent to each other.

2. The stack should contain exactly 4 characters: '2', '/', '6', and '-' occupying the first 4 squares from left to right, in that order.

3. The rightmost (5th) square must remain empty.

4. Each character occupies a single square, is centered, clearly readable, and does not overlap or extend outside the square borders.

turn: 4
modality: text
input: Starting from the stack state shown in Turn 3, pop all characters from the stack until it is empty. In this popping process, what is the 3rd character popped?
Options:
A. 2
B. /
C. 8
D. 6
E. -
F. None of the above.
output: answer: B

turn: 5
modality: text
input: Consider all characters popped in this entire problem. If you combine them in the order they were popped, you get a 5-character expression. What is the final result of evaluating this expression?
Options:
A. 2
B. 4
C. 5
D. 10
E. None of the above.
output: answer: C
Domain: Stack_Simulation / stack_math_expression

turn: 1
modality: image
input: Generate a single row of 5 consecutive squares (white background, black border) to represent a stack. The squares must be equal in size and placed directly next to each other. The leftmost square is the bottom of the stack, and the direction to the right is the top. The stack is currently empty.
output: evaluation_points: 1. The image must contain exactly one row of 5 squares of equal size, arranged horizontally and consecutively, with white backgrounds and black borders.

2. The 5 squares must be placed directly adjacent to each other, forming a continuous horizontal bar structure.

3. All squares must be completely empty inside, containing no characters, patterns, or fill.

4. The background should be simple and clean, highlighting the grid structure.

turn: 2
modality: text
input: In the empty stack shown in Turn 1, push the characters '7', '+', '8' into the stack in order from bottom to top, then immediately pop one character. What character is popped?
Options:
A. 7
B. +
C. 8
D. 3
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Based on the stack state after the pop operation in Turn 2, now push the characters '3' and '-' into the stack in that order. Using the empty stack you drew in Turn 1 as a base, generate the current state of the stack.
output: evaluation_points: 1. Maintain the same 5 horizontal consecutive squares (white background, black border) from Turn 1 output image, with the stack bottom on the left.

2. The stack should contain 4 characters: '7', '+', '3', '-' occupying the first 4 squares from left to right, in that order.

3. The rightmost (5th) square must remain empty.

4. Each character must be placed in a single square, centered, clearly readable, and not overlapping or extending outside the border.

turn: 4
modality: text
input: Starting from the stack state shown in Turn 3, pop all characters from the stack until it is empty. During this popping process, what is the third character popped?
Options:
A. 7
B. +
C. 8
D. 3
E. -
F. None of the above.
output: answer: B

turn: 5
modality: text
input: Consider all characters popped in this entire problem. If you combine them in the order they were popped, you get a 5-character expression. What is the final result of evaluating this expression?
Options:
A. 12
B. 2
C. 18
D. 0
E. None of the above.
output: answer: A
Domain: Stack_Simulation / stack_math_expression

turn: 1
modality: image
input: Generate a single row of 5 consecutive, equally-sized squares (white background, black border) to represent a stack. The squares should be placed side-by-side with no gaps. The leftmost square is the bottom of the stack, and the direction to the right is the top. The stack is currently empty.
output: evaluation_points: 1. The image contains exactly one row of 5 equally-sized squares, arranged horizontally and consecutively, with white backgrounds and black borders.

2. The 5 squares are placed directly next to each other, forming a single horizontal bar structure.

3. All squares are completely empty, containing no characters, patterns, or fillings.

4. The background is clean and simple, emphasizing the grid structure.

turn: 2
modality: text
input: Into the empty stack shown in Turn 1, push the characters '4', '+', and '9' in order from the bottom to the top. Then, immediately pop one character. Which character was popped?
Options:
A. 4
B. +
C. 9
D. 3
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Based on the stack state after the pop operation in Turn 2, now push the characters '3' and '/' in that order. Using the empty stack you drew in Turn 1 as a base, generate the current state of the stack.
output: evaluation_points: 1. Maintain the same 5 equally-sized, consecutive squares (white background, black border) arranged in a single horizontal row from Turn 1 output image, with the stack bottom on the left and top on the right.

2. The stack should contain 4 characters: '4', '+', '3', and '/' occupying the first 4 squares from left to right, in that order.

3. The rightmost (5th) square should remain empty.

4. Each character should be centered within its own square, clearly readable, and not overlapping or extending outside the border.

turn: 4
modality: text
input: Starting from the stack state shown in Turn 3, pop all characters from the stack until it is empty. In this popping process, what is the third character to be popped?
Options:
A. 4
B. +
C. 9
D. 3
E. /
F. None of the above.
output: answer: B

turn: 5
modality: text
input: Consider all characters that were popped in this entire problem. If you combine them in the exact order they were popped, you get a 5-character expression. What is the final numerical result of evaluating this expression?
Options:
A. 5
B. 6
C. 7
D. 8
E. None of the above.
output: answer: C
Domain: Stack_Simulation / stack_math_expression

turn: 1
modality: image
input: Generate a single horizontal row of 5 consecutive, equally sized squares (white background, black border) to represent a stack. The squares should be placed directly next to each other. The leftmost square is the bottom of the stack, and the direction to the right is the top of the stack. The stack is currently empty.
output: evaluation_points: 1. The image must contain exactly one row of 5 equally sized squares, arranged horizontally and consecutively, with a white background and black border.

2. The 5 squares must be placed directly adjacent to each other, forming a single horizontal bar structure.

3. All squares must be completely empty inside, containing no characters, patterns, or fill.

4. The background should be simple and clean, highlighting the grid structure.

turn: 2
modality: text
input: Into the empty stack shown in Turn 1, push the characters '5', '-', '7' in order from the bottom to the top, then immediately pop one character. Which character is popped?
Options:
A. 5
B. -
C. 7
D. 2
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Based on the stack state after the pop operation in Turn 2, now push the characters '2' and '*' in that order. Using the empty stack you drew in Turn 1 as the base, generate the current state of the stack.
output: evaluation_points: 1. Maintain the same 5 horizontal, consecutive, equally sized squares (white background, black border) from Turn 1, with the stack bottom on the left.

2. The stack should contain 4 characters: '5', '-', '2', '*' occupying the first 4 squares from left to right (bottom to top), in that order.

3. The rightmost (5th) square must remain empty.

4. Each character must be placed in a single square, centered, clearly readable, and not overlapping or extending outside the square borders.

turn: 4
modality: text
input: Starting from the stack state shown in Turn 3, pop all characters from the stack until it is empty. In this popping process, what is the 3rd character popped?
Options:
A. 5
B. -
C. 7
D. 2
E. *
F. None of the above.
output: answer: B

turn: 5
modality: text
input: Consider all characters popped in this entire problem. If you combine them in the order they were popped, you get a 5-character arithmetic expression. What is the final result of evaluating this expression?
Options:
A. 4
B. 9
C. 14
D. 19
E. None of the above.
output: answer: B
Domain: Stack_Simulation / stack_math_expression

turn: 1
modality: image
input: Generate a single horizontal row of 5 consecutive, equally sized squares (white background, black border) to represent a stack. The squares should be adjacent to each other. Treat the leftmost square as the stack bottom, with the stack growing to the right (towards the stack top). The stack is currently empty.
output: evaluation_points: 1. The image must contain exactly one row of 5 equally sized squares, arranged horizontally and consecutively, with white backgrounds and black borders.

2. The 5 squares must be placed directly next to each other, forming a continuous horizontal bar structure.

3. All squares must be completely empty inside, containing no characters, symbols, patterns, or fill.

4. The background should be clean and simple, clearly highlighting the grid structure.

turn: 2
modality: text
input: In the empty stack from Turn 1, push the following characters in order from the bottom towards the top: '6', '+', '4'. Then, immediately pop one character from the stack. Which character was popped?

Options:
A. 6
B. +
C. 4
D. 5
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Starting from the stack state after the pop operation in Turn 2, push the following characters in order: '5', '+'. Based on the empty stack you drew in Turn 1, please generate the current state of the stack after these pushes.
output: evaluation_points: 1. Maintain the same 5 horizontal, consecutive, equally sized squares (white background, black border) from the Turn 1 output image, with the stack bottom on the left.

2. The stack should contain exactly 4 characters: '6', '+', '5', '+' occupying the first 4 squares from left to right, respectively.

3. The rightmost (5th) square must remain empty.

4. Each character must be placed in a single square, centered, clearly readable, and not overlapping or extending beyond the square's border.

turn: 4
modality: text
input: Starting from the stack state shown in Turn 3, pop all characters from the stack until it is empty. In this popping process, what is the third character to be popped?

Options:
A. 6
B. +
C. 4
D. 5
E. +
F. None of the above.
output: answer: B

turn: 5
modality: text
input: Consider all characters popped in this entire problem. If you combine them in the exact order they were popped, you will get a 5-character expression. What is the final numerical result of evaluating this expression?

Options:
A. 11
B. 15
C. 20
D. 9
E. None of the above.
output: answer: B
Domain: Stack_Simulation / stack_math_expression

turn: 1
modality: image
input: Generate a single horizontal row of 5 consecutive, equally sized squares (white background, black border) to represent a stack. The squares should be adjacent to each other. The leftmost square is the stack bottom, and the right is the stack top direction. The stack is currently empty.
output: evaluation_points: 1. The image must contain exactly one row of 5 equally sized squares, arranged horizontally and consecutively, with a white background and black border.

2. The 5 squares must be placed directly next to each other, forming a continuous horizontal bar structure.

3. All squares must be completely empty inside, containing no characters, patterns, or fill.

4. The background should be simple and clean, highlighting the square structure.

turn: 2
modality: text
input: In the empty stack from Turn 1, push the characters '2', '-', '9' into the stack in that order, from bottom to top. Then immediately pop one character. Which character was popped?
Options:
A. 2
B. -
C. 9
D. +
E. None of the above.
output: answer: C

turn: 3
modality: image
input: Based on the stack state after the pop operation in Turn 2, now push the characters '4' and '-' into the stack, in that order. Using the empty stack you drew in Turn 1 as the base, generate the current state of the stack.
output: evaluation_points: 1. Maintain the same 5 horizontal consecutive squares (white background, black border) from Turn 1 output image, with the stack bottom on the left.

2. The stack should contain 4 characters: '2', '-', '4', '-' occupying the first 4 squares from left to right, in that order.

3. The rightmost (5th) square must remain empty.

4. Each character must be centered within its own square, clearly readable, and not overlapping or extending outside the square's border.

turn: 4
modality: text
input: Starting from the stack state shown in Turn 3, pop all characters from the stack until it is empty. In this popping process, what is the third character popped?
Options:
A. 2
B. -
C. 9
D. 4
E. -
F. None of the above.
output: answer: B

turn: 5
modality: text
input: Consider all characters popped in this entire problem. If you combine them in the order they were popped, you get a 5-character arithmetic expression. What is the final result of evaluating this expression?
Options:
A. 3
B. 7
C. -3
D. 11
E. None of the above.
output: answer: A