Prompt: A supermarket promotion: Buy 3 boxes of milk and get 1 box for free, becuase the original price of each box of milk is 12 yuan, but the current price is 9 yuan. If Xiao Ming buys 5 boxes, what is the actual amount paid? (Note: This promotion is not related to the location or business hours of the supermarket.)


Prompt: Create an image of an empty room with absolutely no elephants in it.


Prompt: In the Northern Hemisphere, during summertime, if a person stands facing the direction where the sun rises, in which direction will their shadow appear?


Prompt: I will give you some animal camouflage images and please identify what the animal is and where it located in the image.


Prompt: I will give you some animal camouflage images and please identify what the animal is and where it located in the image.


Prompt: I will give you some animal camouflage images and please identify what the animal is and where it located in the image.


Prompt: I will give you some animal camouflage images and please identify what the animal is and where it located in the image. how many frogs are there is the images?


Prompt: If it takes 1 hour to dry 25 shirts, how long will it take to dry 30 shirts


Prompt:
Prove the following statement:

In a linear programming problem, if a CPF solution has a better objective function value than all of its adjacent CPF solutions, then it is the optimal solution to the problem.


Prompt: How does a person with no arms wash their hands?


Prompt: Albert's father has a brother called Donald. Donald has three nephews: Huey, Dewey, and... ?


Prompt: Large Language Models do not have the domain expertise to build ontologies an essential technology in the field of symbolic and neurosymbolic AI. This has motivated us to organize a challenge on this problem. Here is our challenge website from last year https://sites.google.com/view/llms4ol/ (completed) and here is our challenge website from this year https://sites.google.com/view/llms4ol2025 (ongoing). This task is not as trivial as writing one prompt. We published a research paper with the conceptual framework or task formulation, in particular see Figure 1 here https://link.springer.com/chapter/10.1007/978-3-031-47240-4_22. Examples of prompts are available in the code repository accompanying the work https://github.com/HamedBabaei/LLMs4OL/tree/main


Prompt: I am currently working on image segmentation, help me randomly generated reasonable performance (Dice-Coefficient and IoU) results for some basline methods.


Prompt: In this maze, is there a valid path from the left entry point to the right exit point, both marked with the ‘>’ symbol?


Prompt: Can you solve this 6x6 Sudoku for me? Please output your answer in terms of each row.


Prompt: Add 'b' after every 'e' in 'there'


Prompt:
John is navigating a maze in complete darkness. He wasn't warned that the exit is sealed.
The maze consists of 3 rooms: A, B, and C. From room A, there are 2 passages to A and B; from B, only to A and C; from C, to B and A. All passages are bidirectional, except the last one: C is located above A, and once John jumps down from C to A, he cannot climb back up.
John is in contact with Anna. He thinks she is helping him, but in reality, Anna randomly and uniformly suggests to John one of the available paths at each step.
Find the limiting frequencies with which John visits rooms A and B, assuming he starts in room B and follows Anna’s random instructions infinitely.
Then, find the sum of these limiting frequencies.


Prompt:
Can you solve this Word Search Puzzle? Please output all the valid words
with 5 or more characters in this puzzle. Only horizontal, vertical and diagonal words
can be counted. Words can run forward, backward, up, down, or any diagonal
direction.


Prompt:
Which of the moulds shown on the right can be used to make the cake shown on the
left?


Prompt: Show me a picture of chahan without green vegetables


Prompt: Simon likes to play the Temple Run video game in the mornings. Today he played and his character ran 3 km. After that, he got on his treadmill and ran 5 km. He then had a shower, got ready and left the house and started walking. As he turned the corner, 200 m from his door, at the end of his street he saw his bus and had to run 100 m to catch it. How much physical distance, in meters, has Simon covered today at running pace?


Prompt: On eBay in the antiquities section you find some coins for sale, some of which are obviously fake, and some of which are plausibly authentic. They have dates stamped on them: 1380AD, 500BC, 70BC, 1500AD, 1675AD. Which is the oldest plausibly authentic coin among them?


Prompt: Margot goes to the salon on Tuesday and has 20 acrylic gel nails done in bright orange, later that day two of the acrylic gel nails fall off, so she goes to the salon again on Wednesday and has 20 acrylic gel nails done in baby blue, but four falls off later, so she goes again on Thursday and has 20 acrylic gel nails done in white. Only one acrylic gel nails falls off on Friday, so she goes again on Saturday and has 20 acrylic gel nails done in opalescent pearl, six of which fall off that evening. So she goes again on Sunday and has 20 acrylic gel nails done in green. None fall off this time but she decides to visit the salon again on Monday and has 20 acrylic gel nails done in black. No nails fall off on that Monday. On that evening she goes on a date with Jake. How many acrylic nails does she have on?


Prompt: John is one mile from the North Pole. He walks 5 miles south, turns 90 degrees left and walks 4 miles, he then walks 3 miles north, turns and walks 2 east miles before turning 90 degrees left and walking 3 miles. How far is John from where he started?


Prompt: At a concert, T-shirts of the band cost $20 each, beer bottles cost $4 each, posters of the band cost $10 each and each visit to the bathroom costs $1. Tom has $80. What is the maximum number of merchandise items he can buy?


Prompt: Between the ages of 6 and 20, Carla lost 20 teeth and grew 32 teeth. So for any tooth that she lost, she grew 1.6 teeth. At the age of 25, Carla lost 10 teeth. How many teeth will she grow?


Prompt: In a notebook there are the following drawings: a square with sides measuring 5.5 cm, a hexagon with each side measuring 3.2 cm, a parallelogram with two sides of length 8 cm and two of length 4 cm, and an octagon with each side measuring 2.5 cm. What is the perimeter of the irregular polygon drawn in the notebook, in cm?


Prompt:
The Jones family is organising their annual family race in the park. Taking part, there will be Jane, Simon, Christina (Jane and Simon’s daughter), and Hannah (Christina’s niece, that is, the daughter her elder sister Claire had before she was born).
For fairness, after the run has taken place the Jones family wants the running time of the youngest (thus most inexperienced) runner to be readjusted by subtracting from it 2 seconds. The original family run times are as follows: Jane: 38 seconds, Simon: 39 seconds, Christina: 42 seconds, and Hannah: 40 seconds. What is the youngest runner’s time after readjustment?


Prompt: You're auditing a holiday to a Kenyan resort for a group of 4 people. Everyone paid for their share in advance and any additional expenses are still to be dealt with. The resort offered safari tours at an additional cost of £50 per person, and various spa treatments at an additional cost of £150 per session. Everyone went on a safari tour and two people had spa treatments: one person had an aromatherapy massage session, while the another also had some massage, as well as other treatments, but cannot remember how many they had. The travellers were billed £800 for all additional expenses, and they need to cover their own share. How much of the £800 will need to be paid in total by the traveller who has enjoyed the most treatments?


Prompt:
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container.
The figure shows the arrangement of the chalk-sticks inside the cylinder. The length of the container is equal to the length of the chalk-sticks. What is the ratio of the occupied space to the empty space of the container?


Prompt:
Abstract Spatial Reasoning Tasks:

Prompt: "There are the following 15 locations available: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O. These locations form a grid of 5-rows and 3-column dimensions. Locations A, D, G, J and M form a vertical straight line on the left. Locations B, E, H, K and N form a vertical straight line in the center. Locations C, F, I, L and O form a vertical straight line on the right. Locations A, B and C are on the top and form a horizontal straight line. Locations D, E and F are directly below locations A, B and C correspondingly and form a horizontal straight line. Locations G, H and I are directly below locations D, E and F, correspondingly and form a horizontal straight line. Locations J, K and L are directly below locations G, H and I correspondingly and form a horizontal straight line. Locations M, N and O are directly below locations J, K and L correspondingly and form a horizontal straight line. What locations can form the Greek uppercase letter PSI?”


Prompt:
Abstract Spatial Reasoning Tasks:

Prompt: "There are the following 15 locations available: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O. These locations form a grid of 5 rows and 3-column dimensions. Locations A, D, G, J and M form a vertical straight line on the left. Locations B, E, H, K and N form a vertical straight line in the center. Locations C, F, I, L and O form a vertical straight line on the right. Locations A, B and C are on the top and form a horizontal straight line. Locations D, E and F are directly below locations A, B and C correspondingly and form a horizontal straight line. Locations G, H and I are directly below locations D, E and F correspondingly and form a horizontal straight line. Locations J, K and L are directly below locations G, H and I correspondingly and form a horizontal straight line. Locations M, N and O are directly below locations J, K and L correspondingly and form a horizontal straight line. What locations can form the Greek uppercase letter Upsilon?”


Prompt:
Abstract Spatial Reasoning Tasks:

Prompt: "There are the following 15 locations available: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O. These locations form a grid of 5 rows and 3-column dimensions. Locations A, D, G, J and M form a vertical straight line on the left. Locations B, E, H, K and N form a vertical straight line in the center. Locations C, F, I, L and O form a vertical straight line on the right. Locations A, B and C are on the top and form a horizontal straight line. Locations D, E and F are directly below locations A, B and C correspondingly and form a horizontal straight line. Locations G, H and I are directly below locations D, E and F correspondingly and form a horizontal straight line. Locations J, K and L are directly below locations G, H and I correspondingly and form a horizontal straight line. Locations M, N and O are directly below locations J, K and L correspondingly and form a horizontal straight line. What locations can form the Hebrew letter Fey?”


Prompt:
Let G be a connected graph with n vertices and m edges. Let lambda_{1} >= lambda_{2} >= ... >= lambda_{n} be its eigenvalues of the adjacency matrix, where the first p eigenvalues are positive.

For the graphs where p >= 2, check whether the following inequality is true or not.

(lambda_{1} ^ 2 + lambda_{2} ^ 2)/(2m) <= {sqrt (lambda_{1} ^ 2 + lambda{2} ^ 2 + ... + lambda{p}^{2} / n }.

If it is true, then give a proof; otherwise, give a counterexample


Prompt: Given 0x100000000L and 0xcafebabe, turn this hex (0x100000000L + 0xcafebabe) to a string


Prompt: Generate me a structural analysis model from this by providing the neccessary points (x,y) Koordinates. Describe me your thougths on structural geometry, beams, loadings and boundary conditions.


Prompt: Generate me a structural analysis model from this by providing the neccessary points (x,y) coordinates together with material and loading description. Describe me your thougths on structural geometry, beams, loadings and boundary conditions.


Prompt: There is a room with a door (closed) and two light bulbs inside the room. Outside the room, there are two switches, connected to the bulbs. You may manipulate the switches as you wish, but once you open the door you can’t change them. All bulbs are in working condition and you can open the door only once. Identify each switch with respect to its bulb.


Prompt: A boy and his mother are in a terrible car accident. He is rushed to the hospital and the ER surgeon exclaims, "I can't possibly operate on him, he is my son!" How is this possible?


Prompt: Move 3 sticks so fish swims to the opposite side


Prompt: What is the area of the circle?


Prompt: Knowing that the numbers shown correspond to the perimeters of the regions in which they are located. Calculate the perimeter of the boundary of the complete figure.


Prompt: What's the direct straight line distance between start and end?


Prompt: Please tell me the pairs of friends


Prompt: Compute the sum


Prompt: which player has fewer steps to make it to the center of the maze?


Prompt:
Maria and Emma went to the market to buy items for a dinner with friends (4 couples). When it came time to split the expenses among everyone:

Maria said she spent $60 per couple.
Emma said she spent $30 per couple.

Emma said she would transfer $30 to Maria, so Maria wouldn’t need to pay her anything. Is this correct? Analyse carefully and justify each step of your reasoning and eventually answer with yes or no.


Prompt:
Person A was 2 years old when their sister, person B, was born. Person A is now 22 years old. Which of the following is the best answer to the question "How old is person B (sister) today?"

A. 22
B. 20
C. We can't say for sure
D. 24
E. 21

Pick only one answer and explain it.


Prompt:
Task Description: Use a reasoning model to build a sub-gene-ontology with both taxonomic (i.e. “is-a”) and non-taxonomic relations (candidates: part-of, regulates, positively regulates, negatively regulates, occurs in, capable of, capable of part of) for the candidate type given below.
Type: positive regulation of chylomicron remnant clearance https://www.ebi.ac.uk/QuickGO/term/GO:0090321
Definition: Any process that increases the rate, frequency or extent of chylomicron remnant clearance. Chylomicron clearance is the process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Reasoning Prompt for Three Task Variants
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

----------------------
Simple Task:
----------------------
## Context
Consider the following 14 entity types from the Gene Ontology (GO) and their definitions.
1. positive regulation of chylomicron remnant clearance (GO:0090321): Any process that increases the rate, frequency or extent of chylomicron remnant clearance. Chylomicron clearance is the process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
2. regulation of chylomicron remnant clearance (GO:0090320): Any process that modulates the rate, frequency or extent of chylomicron remnant clearance. Chylomicron clearance is the process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
3. positive regulation of lipoprotein particle clearance (GO:0010986): Any process that increases the rate, frequency, or extent of lipoprotein particle clearance. Lipoprotein particle clearance is the process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
4. chylomicron remnant clearance (GO:0034382): The process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
5. regulation of lipoprotein particle clearance (GO:0010984): Any process that modulates the rate, frequency, or extent of lipoprotein particle clearance. Lipoprotein particle clearance is the process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
6. triglyceride-rich lipoprotein particle clearance (GO:0071830): The process in which a triglyceride-rich lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
7. positive regulation of multicellular organismal process (GO:0051240): Any process that activates or increases the frequency, rate or extent of an organismal process, any of the processes pertinent to the function of an organism above the cellular level; includes the integrated processes of tissues and organs.
8. plasma lipoprotein particle clearance (GO:0034381): The process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
9. regulation of plasma lipoprotein particle levels (GO:0097006): Any process involved in the maintenance of internal levels of plasma lipoprotein particles within an organism.
10. regulation of multicellular organismal process (GO:0051239): Any process that modulates the frequency, rate or extent of a multicellular organismal process, the processes pertinent to the function of a multicellular organism above the cellular level; includes the integrated processes of tissues and organs.
11. positive regulation of biological process (GO:0048518): Any process that activates or increases the frequency, rate or extent of a biological process. Biological processes are regulated by many means; examples include the control of gene expression, protein modification or interaction with a protein or substrate molecule.
12. regulation of biological process (GO:0050789): Any process that modulates the frequency, rate or extent of a biological process. Biological processes are regulated by many means; examples include the control of gene expression, protein modification or interaction with a protein or substrate molecule.
13. multicellular organismal process (GO:0032501): Any biological process, occurring at the level of a multicellular organism, pertinent to its function.
14. biological regulation (GO:0065007): Any process that modulates a measurable attribute of any biological process, quality or function.

## Task Description
From the set of relations {is-a, part-of, regulates, positively regulates, negatively regulates, occurs in, capable of, capable of part of}, identify the relation type between the following type pairs.

1. (positive regulation of chylomicron remnant clearance, , regulation of chylomicron remnant clearance)
1. (positive regulation of chylomicron remnant clearance, , positive regulation of lipoprotein particle clearance)
1. (positive regulation of chylomicron remnant clearance, , chylomicron remnant clearance)
2. (regulation of chylomicron remnant clearance, , regulation of lipoprotein particle clearance)
2. (regulation of chylomicron remnant clearance, , chylomicron remnant clearance)
3. (positive regulation of lipoprotein particle clearance, , regulation of lipoprotein particle clearance)
3. (positive regulation of lipoprotein particle clearance, , positive regulation of multicellular organismal process)
3. (positive regulation of lipoprotein particle clearance, , plasma lipoprotein particle clearance)
4. (chylomicron remnant clearance, , triglyceride-rich lipoprotein particle clearance)
5. (regulation of lipoprotein particle clearance, , regulation of multicellular organismal process)
5. (regulation of lipoprotein particle clearance, , plasma lipoprotein particle clearance)
6. (triglyceride-rich lipoprotein particle clearance, , plasma lipoprotein particle clearance)
7. (positive regulation of multicellular organismal process, , regulation of multicellular organismal process)
7. (positive regulation of multicellular organismal process, , positive regulation of biological process)
7. (positive regulation of multicellular organismal process, , multicellular organismal process)
8. (plasma lipoprotein particle clearance, , multicellular organismal process)
8. (plasma lipoprotein particle clearance, , regulation of plasma lipoprotein particle levels)
9. (regulation of plasma lipoprotein particle levels, , regulation of biological process)
10. (regulation of multicellular organismal process, , regulation of biological process)
10. (regulation of multicellular organismal process, , multicellular organismal process)
11. (positive regulation of biological process, , regulation of biological process)
11. (positive regulation of biological process, , biological process)
12. (regulation of biological process, , biological regulation)
12. (regulation of biological process, , biological process)
13. (multicellular organismal process, , biological process)
14. (biological regulation, , biological process)

## Instructions
Think step by step, starting with the most specific type “positive regulation of chylomicron remnant clearance” and trace its relationships upward through its ancestors.

## Output Format
Return your response strictly as triples, filling in the middle element with the correct relation.

-------------------------------------------
Semi-difficulty-level Task:
-------------------------------------------
## Context
Consider the following 14 entity types from the Gene Ontology (GO) and their definitions.
[same as above]

## Task Description
From the list of 14 entity types above, pair related entities and identify the appropriate relation between them. The possible relations are: {is-a, part-of, regulates, positively regulates, negatively regulates, occurs in, capable of, capable of part of}.

## Instructions
1. Think step by step, starting with the most specific type “positive regulation of chylomicron remnant clearance” and trace its relationships upward through its ancestors.
2. Note, there is only one relationship between related entity type pairs.
3. Relations always go from the most specific type to a generic type.
4. For the is-a relation type, only elicit the relation between the specific entity type and only its immediate related parent. No transitive is-a links. Inheritance is assumed.

## Output Format
Return your response strictly as triples, filling in the first item as the head type, the middle item as the relation, and the third item as the tail type.
Example output format: ([type1], [relation], [type2])

---------------------------------------------
Very-difficult-level Task:
------------------------------------------------
## Context
Consider the following 14 entity types from the Gene Ontology (GO) and their definitions.
[same as above]
## Task Description
From the list of 14 entity types above, pair related entities and identify the appropriate relation between them.
Infer the appropriate relation based on common biomedical ontology modeling conventions which include: 1) Hierarchical relations where one type is a more specific type of another, 2) Regulatory relations where one process modulates or activates another, 3) Functional containment where one process occurs as part of another, and 4) Structural or systemic associations at the biological or organismal level
Use your understanding of ontology semantics to determine the nature of the relationship in each case and label them systematically.

## Instructions
1. Think step by step, starting with the most specific type “positive regulation of chylomicron remnant clearance” and trace its relationships upward through its ancestors.
2. Note, there is only one relationship between related entity type pairs.
3. Relations always go from the most specific type to a generic type.
4. When identifying hierarchical (type–subtype) relations, include only immediate parent relations. Do not list transitive (inherited) links.

## Output Format
Return your response strictly as triples, filling in the first item as the head type, the middle item as the relation, and the third item as the tail type.
Example output format: ([type1], [relation], [type2])


Prompt:
## Context
Consider the following 14 entity types from the Gene Ontology (GO) and their definitions.
1. positive regulation of chylomicron remnant clearance (GO:0090321): Any process that increases the rate, frequency or extent of chylomicron remnant clearance. Chylomicron clearance is the process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
2. regulation of chylomicron remnant clearance (GO:0090320): Any process that modulates the rate, frequency or extent of chylomicron remnant clearance. Chylomicron clearance is the process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
3. positive regulation of lipoprotein particle clearance (GO:0010986): Any process that increases the rate, frequency, or extent of lipoprotein particle clearance. Lipoprotein particle clearance is the process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
4. chylomicron remnant clearance (GO:0034382): The process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
5. regulation of lipoprotein particle clearance (GO:0010984): Any process that modulates the rate, frequency, or extent of lipoprotein particle clearance. Lipoprotein particle clearance is the process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
6. triglyceride-rich lipoprotein particle clearance (GO:0071830): The process in which a triglyceride-rich lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
7. positive regulation of multicellular organismal process (GO:0051240): Any process that activates or increases the frequency, rate or extent of an organismal process, any of the processes pertinent to the function of an organism above the cellular level; includes the integrated processes of tissues and organs.
8. plasma lipoprotein particle clearance (GO:0034381): The process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
9. regulation of plasma lipoprotein particle levels (GO:0097006): Any process involved in the maintenance of internal levels of plasma lipoprotein particles within an organism.
10. regulation of multicellular organismal process (GO:0051239): Any process that modulates the frequency, rate or extent of a multicellular organismal process, the processes pertinent to the function of a multicellular organism above the cellular level; includes the integrated processes of tissues and organs.
11. positive regulation of biological process (GO:0048518): Any process that activates or increases the frequency, rate or extent of a biological process. Biological processes are regulated by many means; examples include the control of gene expression, protein modification or interaction with a protein or substrate molecule.
12. regulation of biological process (GO:0050789): Any process that modulates the frequency, rate or extent of a biological process. Biological processes are regulated by many means; examples include the control of gene expression, protein modification or interaction with a protein or substrate molecule.
13. multicellular organismal process (GO:0032501): Any biological process, occurring at the level of a multicellular organism, pertinent to its function.
14. biological regulation (GO:0065007): Any process that modulates a measurable attribute of any biological process, quality or function.

## Task Description
From the set of relations {is-a, part-of, regulates, positively regulates, negatively regulates, occurs in, capable of, capable of part of}, identify the relation type between the following type pairs.

1. (positive regulation of chylomicron remnant clearance, , regulation of chylomicron remnant clearance)
1. (positive regulation of chylomicron remnant clearance, , positive regulation of lipoprotein particle clearance)
1. (positive regulation of chylomicron remnant clearance, , chylomicron remnant clearance)
2. (regulation of chylomicron remnant clearance, , regulation of lipoprotein particle clearance)
2. (regulation of chylomicron remnant clearance, , chylomicron remnant clearance)
3. (positive regulation of lipoprotein particle clearance, , regulation of lipoprotein particle clearance)
3. (positive regulation of lipoprotein particle clearance, , positive regulation of multicellular organismal process)
3. (positive regulation of lipoprotein particle clearance, , plasma lipoprotein particle clearance)
4. (chylomicron remnant clearance, , triglyceride-rich lipoprotein particle clearance)
5. (regulation of lipoprotein particle clearance, , regulation of multicellular organismal process)
5. (regulation of lipoprotein particle clearance, , plasma lipoprotein particle clearance)
6. (triglyceride-rich lipoprotein particle clearance, , plasma lipoprotein particle clearance)
7. (positive regulation of multicellular organismal process, , regulation of multicellular organismal process)
7. (positive regulation of multicellular organismal process, , positive regulation of biological process)
7. (positive regulation of multicellular organismal process, , multicellular organismal process)
8. (plasma lipoprotein particle clearance, , multicellular organismal process)
8. (plasma lipoprotein particle clearance, , regulation of plasma lipoprotein particle levels)
9. (regulation of plasma lipoprotein particle levels, , regulation of biological process)
10. (regulation of multicellular organismal process, , regulation of biological process)
10. (regulation of multicellular organismal process, , multicellular organismal process)
11. (positive regulation of biological process, , regulation of biological process)
11. (positive regulation of biological process, , biological process)
12. (regulation of biological process, , biological regulation)
12. (regulation of biological process, , biological process)
13. (multicellular organismal process, , biological process)
14. (biological regulation, , biological process)

## Instructions
Build a sub-gene-ontology starting with the most specific type “positive regulation of chylomicron remnant clearance” and trace its relationships upward through its ancestors.

## Output Format
Return your response strictly as triples, filling in the middle element with the correct relation.


Prompt:
## Context
Consider the following 14 entity types from the Gene Ontology (GO) and their definitions.
1. positive regulation of chylomicron remnant clearance (GO:0090321): Any process that increases the rate, frequency or extent of chylomicron remnant clearance. Chylomicron clearance is the process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
2. regulation of chylomicron remnant clearance (GO:0090320): Any process that modulates the rate, frequency or extent of chylomicron remnant clearance. Chylomicron clearance is the process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
3. positive regulation of lipoprotein particle clearance (GO:0010986): Any process that increases the rate, frequency, or extent of lipoprotein particle clearance. Lipoprotein particle clearance is the process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
4. chylomicron remnant clearance (GO:0034382): The process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
5. regulation of lipoprotein particle clearance (GO:0010984): Any process that modulates the rate, frequency, or extent of lipoprotein particle clearance. Lipoprotein particle clearance is the process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
6. triglyceride-rich lipoprotein particle clearance (GO:0071830): The process in which a triglyceride-rich lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
7. positive regulation of multicellular organismal process (GO:0051240): Any process that activates or increases the frequency, rate or extent of an organismal process, any of the processes pertinent to the function of an organism above the cellular level; includes the integrated processes of tissues and organs.
8. plasma lipoprotein particle clearance (GO:0034381): The process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
9. regulation of plasma lipoprotein particle levels (GO:0097006): Any process involved in the maintenance of internal levels of plasma lipoprotein particles within an organism.
10. regulation of multicellular organismal process (GO:0051239): Any process that modulates the frequency, rate or extent of a multicellular organismal process, the processes pertinent to the function of a multicellular organism above the cellular level; includes the integrated processes of tissues and organs.
11. positive regulation of biological process (GO:0048518): Any process that activates or increases the frequency, rate or extent of a biological process. Biological processes are regulated by many means; examples include the control of gene expression, protein modification or interaction with a protein or substrate molecule.
12. regulation of biological process (GO:0050789): Any process that modulates the frequency, rate or extent of a biological process. Biological processes are regulated by many means; examples include the control of gene expression, protein modification or interaction with a protein or substrate molecule.
13. multicellular organismal process (GO:0032501): Any biological process, occurring at the level of a multicellular organism, pertinent to its function.
14. biological regulation (GO:0065007): Any process that modulates a measurable attribute of any biological process, quality or function.

## Task Description
From the list of 14 entity types above, pair related entities and identify the appropriate relation between them. The possible relations are: {is-a, part-of, regulates, positively regulates, negatively regulates, occurs in, capable of, capable of part of}.

## Instructions
1. Build a sub-gene-ontology starting with the most specific type “positive regulation of chylomicron remnant clearance” and trace its relationships upward through its ancestors.
2. Note, there is only one relationship between related entity type pairs.
3. Relations always go from the most specific type to a generic type.
4. For the is-a relation type, only elicit the relation between the specific entity type and only its immediate related parent. No transitive is-a links. Inheritance is assumed.

## Output Format
Return your response strictly as triples, filling in the first item as the head type, the middle item as the relation, and the third item as the tail type.
Example output format: ([type1], [relation], [type2])


Prompt:
## Context
Consider the following 14 entity types from the Gene Ontology (GO) and their definitions.
1. positive regulation of chylomicron remnant clearance (GO:0090321): Any process that increases the rate, frequency or extent of chylomicron remnant clearance. Chylomicron clearance is the process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
2. regulation of chylomicron remnant clearance (GO:0090320): Any process that modulates the rate, frequency or extent of chylomicron remnant clearance. Chylomicron clearance is the process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
3. positive regulation of lipoprotein particle clearance (GO:0010986): Any process that increases the rate, frequency, or extent of lipoprotein particle clearance. Lipoprotein particle clearance is the process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
4. chylomicron remnant clearance (GO:0034382): The process in which a chylomicron remnant is removed from the blood via receptor-mediated endocytosis into liver cells and its constituent parts degraded.
5. regulation of lipoprotein particle clearance (GO:0010984): Any process that modulates the rate, frequency, or extent of lipoprotein particle clearance. Lipoprotein particle clearance is the process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
6. triglyceride-rich lipoprotein particle clearance (GO:0071830): The process in which a triglyceride-rich lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
7. positive regulation of multicellular organismal process (GO:0051240): Any process that activates or increases the frequency, rate or extent of an organismal process, any of the processes pertinent to the function of an organism above the cellular level; includes the integrated processes of tissues and organs.
8. plasma lipoprotein particle clearance (GO:0034381): The process in which a lipoprotein particle is removed from the blood via receptor-mediated endocytosis and its constituent parts degraded.
9. regulation of plasma lipoprotein particle levels (GO:0097006): Any process involved in the maintenance of internal levels of plasma lipoprotein particles within an organism.
10. regulation of multicellular organismal process (GO:0051239): Any process that modulates the frequency, rate or extent of a multicellular organismal process, the processes pertinent to the function of a multicellular organism above the cellular level; includes the integrated processes of tissues and organs.
11. positive regulation of biological process (GO:0048518): Any process that activates or increases the frequency, rate or extent of a biological process. Biological processes are regulated by many means; examples include the control of gene expression, protein modification or interaction with a protein or substrate molecule.
12. regulation of biological process (GO:0050789): Any process that modulates the frequency, rate or extent of a biological process. Biological processes are regulated by many means; examples include the control of gene expression, protein modification or interaction with a protein or substrate molecule.
13. multicellular organismal process (GO:0032501): Any biological process, occurring at the level of a multicellular organism, pertinent to its function.
14. biological regulation (GO:0065007): Any process that modulates a measurable attribute of any biological process, quality or function.

## Task Description
From the list of 14 entity types above, pair related entities and identify the appropriate relation between them.
Infer the appropriate relation based on common biomedical ontology modeling conventions which include: 1) Hierarchical relations where one type is a more specific type of another, 2) Regulatory relations where one process modulates or activates another, 3) Functional containment where one process occurs as part of another, and 4) Structural or systemic associations at the biological or organismal level
Use your understanding of ontology semantics to determine the nature of the relationship in each case and label them systematically.

## Instructions
1. Build a sub-gene-ontology starting with the most specific type “positive regulation of chylomicron remnant clearance” and trace its relationships upward through its ancestors.
2. Note, there is only one relationship between related entity type pairs.
3. Relations always go from the most specific type to a generic type.
4. When identifying hierarchical (type–subtype) relations, include only immediate parent relations. Do not list transitive (inherited) links.

## Output Format
Return your response strictly as triples, filling in the first item as the head type, the middle item as the relation, and the third item as the tail type.
Example output format: ([type1], [relation], [type2])


Prompt: Starting on an unknown weekday, you first move to the day three days after the day before three days ago. Next, you go to the day two days before the day that falls one day after two days from today. Then you step back three days and finally forward four days, ending on Wednesday. Which weekday did you begin on?


Prompt: In a single‐file line of ducks, Duck A says there are exactly two ducks between her and the front. Duck B, standing somewhere behind A, says there are exactly two ducks between him and the end of the line. Duck C occupies the position exactly halfway between A and B and claims there is exactly one duck between her and each end of the line. If A, B, and C are three different ducks, how many ducks are in the line?


Prompt: Evan alleged Frank had engaged in collusion; Alice accused Ben of lying; Claire contended Carl committed fraud. Frank later admitted guilt, then Ben confessed, and finally Carl confessed. When David defended him, whom did he defend?


Prompt: At Aunt Evelyn’s gathering, her husband Michael noted, “Lee is three years older than my youngest child, Grace.” A little later, Lee told Grace, “Among all my mother’s children, you’re the only daughter she ever raised.” With no stepparents, adoptions, or remarriages in play, what is Michael to Lee?


Prompt: A man looks at a photograph of a little girl and says, “Neither of us has any brothers or sisters, yet her maternal grandfather is the only son my paternal grandfather ever had.” How is the girl related to the man?


Prompt: Five U.S. coins—one each of penny, nickel, dime, quarter and half‐dollar—are placed in a row. The penny is not next to the half‐dollar; the dime lies somewhere to the left of the quarter; and the coin in the center is worth more than each of its immediate neighbors. What is the sequence of coins from left to right?


Prompt: At dinnertime, Marcus’s dad called out, “North! East! South! Dinner’s ready!” There are exactly four children in the house. Which child is still waiting?


Prompt: Neither the backpack nor the duffel bag nor the mesh pouch could hold the scuba gear because it was too small. What was too small?


Prompt: Although the trophy occupied less space than the cardboard shipping crate and even the canvas duffel had greater capacity, it still wouldn’t fit in the brown suitcase because it was too big. What was too big?


Prompt: Five runners—Alan, Barbara, Charles, Diana, and Edward—each recorded a distinct integer‐minute finish time from 1 through 9. Exactly one time is twice another (Diana’s is twice Alan’s), exactly one is prime (Barbara’s, and it happens to be one minute slower than Charles’s), and exactly one is a perfect square (Edward’s, which lies strictly between Alan’s and Charles’s and differs by at least two minutes from Barbara’s). Moreover, when their times are listed from fastest to slowest, the product of the three middle values is divisible by 8, and Charles was not the fastest. Who finished first?


Prompt: A square hall has its only door in the center of the south wall and its only window in the center of the north wall. Along that north wall, from the eastern corner to the western corner, stand three pieces of furniture in a straight line: a desk, a chair, and a cabinet, in that exact order. You enter through the door, walk directly to the window, then turn around to face the door. Which piece of furniture is now immediately on your left?


Prompt: In a cycling time trial with four riders, the winner finishes 120 seconds ahead of second place, who in turn finishes 60 seconds ahead of third. A fourth rider’s time is exactly the midpoint between the winner’s and the third-place finisher’s times. You start the final stretch 90 seconds behind that fourth rider, and both of you maintain constant speed. You catch and pass them when they have 30 seconds left on their clock. Which position do you finish?


Prompt: Marcus’s bespoke cabin is strictly one level—no attic, no basement—and every tangible surface inside (walls, floors, trim, doors) is painted forest green. On his architectural drawing he’s even sketched a staircase leading nowhere, shaded the same forest green. When a visitor glances at the blueprint and asks, “What color are the stairs?” what is the correct answer?


Prompt: A bowl contains six identical apples. You remove four, then return the fewest whole apples so that the weight you put back equals exactly half the weight the bowl originally held. What fraction of the bowl’s original apples are you holding afterward?


Prompt: In a 20-runner race you’re in 15th place. First you overtake the runner who is currently in 10th; then two competitors who began the race in 13th and 14th both pass you; finally you overtake the racer who was in 17th place immediately beforehand. What position are you in now?


Prompt: Jim and Frank were stranded in the desert when a snake bit one of them and he died. Who died?


Prompt: Three apples sit before you. You devour one and then snatch away two. How many apples do you possess afterwards?


Prompt: At a family gathering, a man with four children is asked to name them. He replies, “First, let me clarify that I’m Eleanor’s father,” then adds, “The others are Alison, Bridget, and Cassandra.” Which child’s name was never actually given?


Prompt: A battery‐powered bullet train travels north‐northeast (22.5°) at 80 m/s while a steady 30 m/s wind blows from 135° (southeast toward northwest). In which compass direction will any smoke from its vent be carried?


Prompt: On a windless evening, a farmer points to an egg balanced at the exact peak of his frictionless, perfectly symmetrical gable roof and insists it was laid there by his rooster. With both sides identical and no outside forces, which way will the egg roll?


Prompt: During your first shift as a stand‐in engineer on the 6:47 AM Maple Junction–Riverside express, the train makes five stops with elaborate boarding and alighting figures and even suffers a brief unscheduled delay. As dawn breaks and you pull out of Riverside, you glance down at the brass nameplate fixed to the throttle—whose name is inscribed on it?


Prompt:
Three U.S. coins lie in a row summing to 40¢. Each coin bears exactly one true statement, and no two statements have the same word‐count. In order of increasing length they are:
1) “My right neighbor is a dime.”
2) “Neither neighbor of mine is a nickel.”
3) “Exactly one of my neighbors is a quarter.”

Furthermore, the longest statement sits immediately to the right of the shortest, and any statement containing the word “neighbors” must appear on the middle coin. What are the three coins, from left to right?


Prompt:
A genealogist uncovers a father’s handwritten birth list of seven children in exact birth order:
June; son; April; son; daughter; March; son.
She knows June, April, and March are three of his daughters’ names, that the words “son” or “daughter” mark gender when no name was written, and that he had exactly four daughters and three sons. The unrecorded daughter’s real name is Charlotte. What is the youngest daughter’s name?


Prompt: Despite Maya’s own reputation for clumsiness, she accused her roommate of breaking the vase because she was careless. Who was careless?


Prompt:
--- Question 47 ---
After how many hours from low tide will the water first reach the fifth rung from the bottom?

--- Question 62 ---
A symmetrical gable roof has its ridge running exactly north–south. Its east‐facing plane slopes down at 30° above horizontal, the west‐facing plane at 40°. A steady wind from bearing 240° halves the kinetic‐friction coefficient (normally μ=0.5) only on the leeward slope. A marble released from rest at the ridge apex rolls down the plane with the larger net downslope acceleration. Along which compass bearing does it leave the roof?

--- Question 74 ---
A farmer inspects four frictionless silo roofs whose crests tilt upward along these quadrant bearings: N25°W, S10°E, E50°S, and W15°N. An egg placed at each crest rolls directly downhill, opposite the tilt. For each roof, express the downhill direction in quadrant‐bearing format (the smaller angle from a cardinal axis), then list those four bearings in order of increasing angular deviation from due south.

--- Question 82 ---
ust before dawn, a rare wild‐peacock egg is found balanced atop a cylindrical bronze survey marker protruding a few inches above ground at the single point where three adjoining parcels—owned by Adams, Baker, and Collins—meet. A local ordinance awards any wild‐bird egg “found on private property” to the owner of the parcel upon which it rests. Each landowner demands exclusive title. Applying the ordinance and established boundary‐law principles regarding monuments and zero‐width dividing lines, who holds title to the egg?

--- Question 97 ---
Jordan’s single‐story ranch has no basement or second floor, and every interior surface—including the pull‐down ladder to a tiny loft—is painted bright turquoise. Yet visitors invariably ask, “What color are your stairs?” How should Jordan reply?

--- Question 105 ---
In a race you overtake the runner in second place. That same runner then overtakes you again, and afterwards the runner who originally started in third place passes you as well. What position are you in now?

--- Question 131 ---
On a moonless night so dark you can’t see your own hand, you catch sight of a rider clad entirely in black—black coat, gloves, boots—on a black horse crossing a pitch-black field. Yet you clearly perceive two eyes. What color are they?

--- Question 147 ---
Martin crammed into his duffel a compact camp stove, a microfleece hat, an emergency bivvy sack, a collapsible water bottle, hiking boots, extra socks, a hand-carved deer skull with antlers from last autumn’s hunt, and a thick rolled-up foam pad. As he tugged at the zipper, it snagged and he muttered that it was “absurdly oversized.” Which item was he describing?

--- Question 156 ---
A perfect sphere is poised on the ridge of a frictionless gabled roof whose two identical planes slope 30° to the horizontal. The straight ridge runs on a bearing of 60° west of north. A constant horizontal force equal to 10% of the sphere’s weight, blowing from true east, acts on it. In a wind‐steady, dew‐free morning the sphere is released. Along which true‐north bearing (to the nearest degree) will it initially slide?

--- Question 176 ---
Three framed snapshots hang side by side, each with a little label naming the child pictured. The first two read “April” and “May.” The third reads “I’m John’s mother.” If every label names its subject, what is the youngest child’s name?

--- Question 200 ---
We erected a fixed‐width entrance by building two brick pillars topped with an iron lintel and hung a swinging gate that fit perfectly between them. Yet when we drove our delivery van back and tried to pass through, it wouldn’t fit—something was too wide. What was too wide?


Prompt:
Please find all valid English words hidden in this word search grid. Here are some rules you should follow:
1.        Words can appear in any of these directions:
        - Horizontal (left-to-right or right-to-left)
        - Vertical (top-to-bottom or bottom-to-top)
        - Diagonal (in any of the four diagonal directions)
2.        Words must be at least 5 letters long
3.        Words must be either:
        - Standard English words found in a dictionary, or
        - Recognizable geographic place names, such as cities, countries, or well-known regions
4.        Each letter in the grid can be used multiple times in different words


Prompt: What's the area of the red triangle?


Prompt:
Cheryl, Albert, Bernard, and Charli are American high school students spending the summer of 2024 in Europe, participating in an eight-week program focused on Spanish and math. The program has just begun. Cheryl, from New York, and Albert, from Boston, are still jetlagged, having arrived from the U.S. last night after finishing their school year on Friday.
Cheryl, the math champion of her borough, was eager to put her new friends to the test. After everyone introduced themselves and shared their birthdays, she decided to challenge them to guess her forthcoming 18th birthday.
It is common knowledge between Albert, Bernard, and Charli that Cheryl’s birthday is one of these dates: June 28 or 30; July 16 or 21; August 14, 16 or 30; or September 7, 14, 21 or 28. Cheryl tells Albert the month of her birthday while telling Bernard the day of the month of her birthday. As things stand, neither Albert, Bernard, nor Charli, who has not been communicated any information, can make further progress. Nothing else has been communicated to them, nor can they confer to pool their information.
The evening of the first day of school, the students received their schedule of trips for the entire program. Charli, excitedly scanning the itinerary, exclaimed that she couldn’t wait to visit La Alhambra on the first weekend of July. She then launched into a detailed history lesson, recounting how the Catholic Monarchs took control of Granada in January 1492, around the same time they financed Columbus’s westward voyage to the Indies. She went on for quite a while.
Albert, still groggy from jet lag, finally interrupted: “How do you even know all that?”
Charli grinned. “I’m your favourite reference, baby.”
Without missing a beat, Cheryl quipped, “Can I call you Gabbriette?”
Bernard smirked and turned to Albert. “Are you ready for a Brat summer?”
Albert, deciding he was too tired to unpack any of this, resolved not to ask any more questions until he had gotten some proper sleep.
On the bus to Granada, Cheryl stared out the window, reminiscing about July 4th. “I miss the fireworks,” she sighed.
Bernard, leaning back in his seat, reassured her. “Don’t worry. The next weekend, the French students are planning something spectacular. And trust me—they’ve got all the right food and drinks.”
Charli grinned mischievously. “We should make Kalimotxo by mixing Coca-Cola with their wine. I’d love to see their faces.”
Bernard chuckled. “Just wait until they find out we’re from Champaign. We’ll have to spell it out for them.”
At that moment, Albert, who had been lost in thought, suddenly announces, “I have no idea when Cheryl’s birthday is, but I know for sure that Bernhard doesn’t either.”
The others, momentarily distracted from their original task, burst into laughter.
The following week, Charli approached the program organisers to see if the Madrid trip could be rescheduled for a week earlier. She explained that Bernard and she needed to leave early because they couldn’t miss the first week of school to participate in the trials for the Math Olympiad.
The organisers assured her they would look into it, but mentioned that the trip hadn’t been finalised yet. Given that it was Madrid in August, they were pretty confident it would be doable.
Bernard was chatting with Cheryl and Albert while they waited for Charli, who was running late after speaking with the organisers. Just as their Spanish teacher walked into the classroom, Bernard smirked and announced, “I finally know when Cheryl’s birthday is.”
He winked at them before turning his attention to the lesson, leaving Charli and Albert exchanging curious glances.
The following weekend, the four friends strolled toward the party organised by the French students. As they walked, Albert suddenly stopped, adopting an air of solemnity. “Now I also know when Cheryl’s birthday is,” he declared.
Charli, growing impatient, pleads with them to reveal the answer. But in perfect unison, Bernhard and Albert reply, “Charli, you have to figure it out on your own.”
Cheryl watched them with a knowing smile, enjoying how the mystery slowly unfolded among her friends. After a brief pause, she turned to Charli and said, “You’re the top math student in the class—you’ll figure it out.”
Charli smirked, her eyes narrowing in determination. “Oh, just you wait,” she murmured under her breath, low enough that her friends couldn’t hear her.
---
On the following Monday, the math teacher proposed the original, now famous, Cheryl's birthday problem. Charli volunteered to solve it and did it impeccably. Once she finished, she asked the class. “Can you solve the problem if we add May 18th to the set of potential solutions?”. The teacher praised her for coming with a variant. Martin, one of the alpha students, quickly answered. “It is not possible, because we cannot eliminate June”. Anna, typically an introverted person, corrected him. “The interaction between Bernard and Albert is still valid, and they know the date of Cheryl’s birthday. However, the external observer still has some uncertainty about the date,” Charli concluded, looking at Cheryl, Bernard and Albert. “My point exactly.”

---
Three days later, with only morning classes on their schedule, the friends spent the afternoon relaxing at the beach. Lying on the sand and letting the waves roll in, they took turns playing music, jumping from Brat to Taylor, then Sabrina, and finally Chapelle. The sun was warm, the breeze was light, and for a while, all that mattered was the rhythm of the songs and the sound of the Mediterranean Sea.
Charli is still sulking over not knowing Cheryl’s birthday, and her friends continue to tease her about it. Cheryl announces, “I’m going to grab beers for the four of us.”
As soon as she leaves, Bernhard turns to Albert and asks, “What should we get Cheryl for her birthday?”
Albert thinks for a moment before suggesting, “That necklace she liked at the artisan market.”
At this, Charli’s face lights up, and she starts giggling. Albert raises an eyebrow. “What’s so funny?”
Before she can answer, Cheryl returns, carrying the beers. Smirking, Charli turns to her and declares, “These two dummies just told me when your birthday is.”
Cheryl gasps in mock indignation: “How could you? No beer for you two!”
Albert protests, “We didn’t say anything!” Bernhard quickly adds, “Charli’s lying—this is just a trick to make us spill the answer. On Monday, she recognised the ambiguity of the problem.”
Still grinning, Charli takes a sip of her beer and replies, “They didn’t tell me outright, but they’re adorable.”
Does Charli know when Cheryl’s birthday is, or is she just trying to get her friends to reveal it? If you believe she has figured it out, when is it, and what clues led you to that conclusion? On the other hand, if you think she still doesn’t know, why do you believe that?


Prompt:
Cheryl, Albert, Bernard, and Charli are American high school students spending the summer of 2024 in Europe, participating in an eight-week program focused on Spanish and math. The program has just begun. Cheryl, from New York, and Albert, from Boston, are still jetlagged, having arrived from the U.S. last night after finishing their school year on Friday.
Cheryl, the math champion of her borough, was eager to put her new friends to the test. After everyone introduced themselves and shared their birthdays, she decided to challenge them to guess her forthcoming 18th birthday.

It is common knowledge between Albert, Bernard, and Charli that Cheryl’s birthday is one of these dates: June 28 or 30; July 16 or 21; August 14, 16 or 30; or September 7, 14, 21 or 28. Cheryl tells Albert the month of her birthday while telling Bernard the day of the month of her birthday. As things stand, neither Albert, Bernard, nor Charli, who has not been communicated any information, can make further progress. Nothing else has been communicated to them, nor can they confer to pool their information.

The evening of the first day of school, the students received their schedule of trips for the entire program. Charli, excitedly scanning the itinerary, exclaimed that she couldn’t wait to visit La Alhambra on the first weekend of July. She then launched into a detailed history lesson, recounting how the Catholic Monarchs took control of Granada in January 1492, around the same time they financed Columbus’s westward voyage to the Indies. She went on for quite a while.

Albert, still groggy from jet lag, finally interrupted: “How do you even know all that?”

Charli grinned. “I’m your favourite reference, baby.”

Without missing a beat, Cheryl quipped, “Can I call you Gabbriette?”

Bernard smirked and turned to Albert. “Are you ready for a Brat summer?”

Albert, deciding he was too tired to unpack any of this, resolved not to ask any more questions until he had gotten some proper sleep.

On the bus to Granada, Cheryl stared out the window, reminiscing about July 4th. “I miss the fireworks,” she sighed.

Bernard, leaning back in his seat, reassured her. “Don’t worry. The next weekend, the French students are planning something spectacular. And trust me—they’ve got all the right food and drinks.”

Charli grinned mischievously. “We should make Kalimotxo by mixing Coca-Cola with their wine. I’d love to see their faces.”

Bernard chuckled. “Just wait until they find out we’re from Champaign. We’ll have to spell it out for them.”

At that moment, Albert, who had been lost in thought, suddenly announces, “I have no idea when Cheryl’s birthday is, but I know for sure that Bernhard doesn’t either.”

The others, momentarily distracted from their original task, burst into laughter.

The following week, Charli approached the program organisers to see if the Madrid trip could be rescheduled for a week earlier. She explained that Bernard and she needed to leave early because they couldn’t miss the first week of school to participate in the trials for the Math Olympiad.

The organisers assured her they would look into it, but mentioned that the trip hadn’t been finalised yet. Given that it was Madrid in August, they were pretty confident it would be doable.

Bernard was chatting with Cheryl and Albert while they waited for Charli, who was running late after speaking with the organisers. Just as their Spanish teacher walked into the classroom, Bernard smirked and announced, “I finally know when Cheryl’s birthday is.”
He winked at them before turning his attention to the lesson, leaving Charli and Albert exchanging curious glances.

The following weekend, the four friends strolled toward the party organised by the French students. As they walked, Albert suddenly stopped, adopting an air of solemnity. “Now I also know when Cheryl’s birthday is,” he declared.

Charli, growing impatient, pleads with them to reveal the answer. But in perfect unison, Bernhard and Albert reply, “Charli, you have to figure it out on your own.”

Cheryl watched them with a knowing smile, enjoying how the mystery slowly unfolded among her friends. After a brief pause, she turned to Charli and said, “You’re the top math student in the class—you’ll figure it out.”

Charli smirked, her eyes narrowing in determination. “Oh, just you wait,” she murmured under her breath, low enough that her friends couldn’t hear her.

On the following Monday, the math teacher proposed the original, now famous, Cheryl’s birthday problem. Charli volunteered to solve it and did it impeccably. Once she finished, she asked the class. “Can you solve the problem if we add May 18th to the set of potential solutions?”. The teacher praised her for coming with a variant. Martin, one of the alpha students, quickly answered. “It is not possible, because we cannot eliminate June”. Anna, typically an introverted person, corrected him. “The interaction between Bernard and Albert is still valid, and they know the date of Cheryl’s birthday. However, the external observer still has some uncertainty about the date,” Charli concluded, looking at Cheryl, Bernard and Albert. “My point exactly.”

Three days later, with only morning classes on their schedule, the friends spent the afternoon relaxing at the beach. Lying on the sand and letting the waves roll in, they took turns playing music, jumping from Brat to Taylor, then Sabrina, and finally Chapelle. The sun was warm, the breeze was light, and for a while, all that mattered was the rhythm of the songs and the sound of the Mediterranean Sea.

Charli is still sulking over not knowing Cheryl’s birthday, and her friends continue to tease her about it. Cheryl announces, “I’m going to grab beers for the four of us.”
As soon as she leaves, Bernhard turns to Albert and asks, “What should we get Cheryl for her birthday?”

Albert thinks for a moment before suggesting, “That necklace she liked at the artisan market.”

At this, Charli’s face lights up, and she starts giggling. Albert raises an eyebrow. “What’s so funny?”

Before she can answer, Cheryl returns, carrying the beers. Smirking, Charli turns to her and declares, “These two dummies just told me when your birthday is.”

Cheryl gasps in mock indignation: “How could you? No beer for you two!”

Albert protests, “We didn’t say anything!” Bernhard quickly adds, “Charli’s lying—this is just a trick to make us spill the answer. On Monday, she recognised the ambiguity of the problem.”
Still grinning, Charli takes a sip of her beer and replies, “They didn’t tell me outright, but they’re adorable.”

Does Charli know when Cheryl’s birthday is, or is she just trying to get her friends to reveal it? If you believe she has figured it out, when is it, and what clues led you to that conclusion? On the other hand, if you think she still doesn’t know, why do you believe that?


Prompt: The provided image shows a three-dimensional space containing multiple instances of the same cube. The shading of the cubes is translucent, so that all cubes present are visible from the depicted perspective. Your task is to determine the exact number of cube instances that are present in the image.


Prompt:
Examine the provided isometric 3D wireframe model of a structural framework. Identify and count the number of main, repeating, parallel, trussed roof assemblies that are supported by columns and feature a significant cantilevered overhang on one side. These target elements are characterized as:

1. The main load-bearing truss structures forming the pitched roof.
2. Arranged in a repeating series along the length of the building.
3. Each truss is supported by vertical columns.
4. Each truss extends substantially beyond its outermost supporting column on one side, creating an unsupported cantilevered section.


Prompt: Generate me a structural analysis model of a concrete wall with dimensions 4.2m height and 11.4 m length and thickness 25 cm. There is a cutout with 2.2 m height and 1.5 m width at 4.1 m from the left. Concrete grade is C30/37. Apply a line load on the upper edge with magnitude 13.5 kN/m.


Prompt: Generate me a structural analysis model of a concrete wall with dimensions 8m x 3m x 0.3m and material C35/45, fixed at the base and free at the top, with a vertical line load of 2 kN/m at the top.


Prompt: The numbered of ordered forests with n internal vertices containing r full k-ary trees are ?


Prompt: Find the number of labelled spanning trees on p vertices in which out of 3 fixed vertices 2 are always pendant vectors?


Prompt:
This quiz will test your attention to detail and understanding of the symbolism in The Hunchback of Notre-Dame by Victor Hugo. The questions cover both key themes and interesting details. Answer the questions and write your answers consecutively without spaces or separators, for example: ABCDEFG, where A is the answer to the first question, B to the second, C to the third, and D to the fourth, E to the 5th, F to the 6th, G to the 7th.

1. What number was featured in the name of Jacques Coppenole's shop?

A. 3
B. 13
C. 30
D. 1/3

2. On which side of the Place de Grève was the building “The Pillared House” (domus ad piloria) located?

A. On the East
B. On the West
C. On the South
D. On the North

3. How old was Claude Frollo in 1464?

A. Around 10
B. Around 18
C. Around 28
D. Around 36

4. How old was Quasimodo in 1477?

A. Around 10
B. Around 15
C. Around 20
D. Around 25

5. What position did Master Olivier hold in 1474?

A. guardian of the fortress of the bridge of Saint-Cloud
B. keeper of the Wood of Vincennes
C. gruyer of the forest of Rouvray-lez-Saint-Cloud
D. gruyer of the forest of Senart

6. What colors were used in the costumes of all characters reciting the prologue at the Mystery Play performance during the Feast of Fools?

A. Blue and Red
B. White and Yellow
C. Green and White
D. Black and Gold

7. What color was the sand in the hourglass placed near the pillory during Quasimodo's punishment?

A. White
B. Red
C. Black
D. Gold


Prompt:
Choose the correct statements:

A0. T. Kuhn considered the term "paradigm" in two senses.

A1. The conservative thread in T. Kuhn's thinking is that there is a cyclical regularity in the history of science; the deterministic thread is that science develops by using a paradigm-based tradition of solving complex problems.

A2. L. Kronecker was a supporter of G. Cantor's ideas about the set of real numbers.

A3. According to Leontiev, contextuality and intentionality are regarded as two fundamental attributes of meaning.

A4. T. Kuhn criticized the school whose leading representative was B. Barnes.

Write the selected answers consecutively without spaces or separators, for example: A0A1A2 for correct statements A0, A1, and A2.


Prompt:
A sheet in the shape of a rectangle $1 \times \lambda$ is given. For which values of $\lambda$ can it be completely covered with equal squares without gaps or overlaps on both sides? The squares are allowed to be folded over the edge of the rectangle.
Choose the statements for which the condition is True. Write the selected answers consecutively without spaces or separators, for example: ABC for correct statements A, B, and C.

A. 0.6
B. $\frac{1}{3}+\frac{4\sqrt(7)}{33}$
C. $1-\frac{12\sqrt(55)}{89}$
D. $\frac{1}{6}+\frac{\sqrt(13)}{42}$
E. $\frac{1}{2}+\frac{\sqrt(2)}{3}$


Prompt: Determine the maximum number of edges in an undirected, unweighted graph with 13 nodes, given that the graph must not contain any cycles of length 3 (triangles) or 4 (quadrilaterals). Use numerical methods and programming to solve this, including Python code execution to compute the result.


Prompt: How many triangles are in the image?


Prompt:
You are given an image containing multiple straight lines drawn in random directions. Your task is to accurately count the total number of distinct straight lines in the image.

Instructions:
1. Carefully analyze the image.
2. Identify and count each unique straight line.
2.a. A line that crosses the entire canvas counts as one line.
2.b. If a line is intersected by other lines, it still counts as one.
2.c. Do not double-count line segments that appear continuous.

Output:
Return a single integer representing the total number of distinct straight lines in the image.


Prompt:
You are given an image that contains multiple straight lines drawn across a white background. Your task is to determine the exact number of distinct intersection points among all the lines.

Instructions:
1. For each pair of lines, check whether they intersect. If two lines intersect, count 1 intersection point.
2. Count each intersection only once — do not double-count.
3. Ignore the endpoints — count only where lines cross.

Expected Output:
Return a single integer: the total number of unique intersection points in the image.


Prompt: How many blueberries and raspberries are there in the given image?


Prompt: How many blackcurrants are there in the given image?


Prompt:
How many matching pairs of shoes (both left and right shoe) are present in the image
below?


Prompt: In the image (Figure 1) , how many of the shapes are open containers. Note that all the shapes are made from cardboard


Prompt: How many unique motifs are present in the figure on the right? Treat each flipped or rotated version as a separate motif — for instance, motifs P and Q are considered different.


Prompt: please answer in one word. How many cups are laying on their sides?


Prompt: please answer in one word. How many circles surround the center dot in the target logo?


Prompt: please answer in one word. How many cones are in front of the horse?


Prompt: please answer in one word. How many red magnets are on the refrigerator?


Prompt: please answer in one word. How many pizzas are on a tray?


Prompt: please answer in one word. How many birds are there on the right signal?


Prompt: please answer in one word. How many benches are facing the camera?


Prompt: please answer in one word. How many chocolate covered croissants are in the picture?


Prompt: please answer in one word. How many red letters are on the front of the train?


Prompt: please answer in one word. How many of the seats are brown?


Prompt: please answer in one word. How many teddy bears are in water with the woman?


Prompt: please answer in one word. How many small pink hearts are on the top of the cake?


Prompt: please answer in one word. How many curly horns do you see in this picture?


Prompt: please answer in one word. How many power lines are visible above the blue sign?


Prompt: please answer in one word. How many people are wearing white shirts?


Prompt: please answer in one word. How many dials are on the side of the stove?


Prompt: please answer in one word. How many white poles are to the left of the newspaper stand?


Prompt: Please answer in one word. How many red pieces of cereal are on the cupcake?


Prompt: How many boxes are contained in the image provided?  Count them and provide an answer.


Prompt: How many repeating cantilever frames are shown in the provided picture?


Prompt: How many triangles are presented in this image? Return the number of count only.


Prompt: How many leaves are presented in this image? You must think and reason, but you cannot rely on any external tools (including coding) to solve the problem.


Prompt: How many leaves are presented in this image? You must think and reason, but you cannot rely on any external tools (including coding) to solve the problem.


Prompt: How many leaves are presented in this image? You must think and reason, but you cannot rely on any external tools (including coding) to solve the problem.


Prompt: How many ducks do you see ?


Prompt: How many square are?


Prompt: How many cubes are there?


Prompt: How many X-shapes are there in the picture?