This gallery shows examples from all available datasets using their default configurations.
- advanced_geometry
- aiw
- base_conversion
- basic_arithmetic
- bf
- caesar_cipher
- calendar_arithmetic
- chain_sum
- color_cube_rotation
- countdown
- family_relationships
- figlet_font
- fraction_simplification
- game_of_life
- gcd
- lcm
- leg_counting
- letter_counting
- letter_jumble
- maze
- mini_sudoku
- number_filtering
- number_sequence
- number_sorting
- polynomial_equations
- prime_factorization
- propositional_logic
- quantum_lock
- rubiks_cube
- sentence_reordering
- simple_equations
- simple_geometry
- spell_backward
- sudoku
- syllogism
- time_intervals
- tower_of_hanoi
- word_ladder
- word_sequence_reversal
- word_sorting
A dataset for advanced geometry tasks using coordinate geometry.
Default configuration:
min_coord = -10
max_coord = 10
size = 50
seed = 42
task_types = ['orthocenter', 'incircle_radius', 'angle_measure']Example tasks:
Example 1:
Question: In triangle ABC with coordinates A=(-7, -10), B=(-2, -3), and C=(-3, -6), find the measure (in degrees) of angle ABC.
Answer: 17.10°
Metadata: {'A': (-7, -10), 'B': (-2, -3), 'C': (-3, -6), 'angle_ABC_degrees': 17.10272896905237}
Example 2:
Question: For triangle with vertices A=(-1, -6), B=(4, 1), and C=(-7, 4), determine the orthocenter (intersection of altitudes).
Answer: (0.304, -1.217)
Metadata: {'A': (-1, -6), 'B': (4, 1), 'C': (-7, 4), 'orthocenter_exact': ('7/23', '-28/23'), 'orthocenter_approx': (0.30434782608695654, -1.2173913043478262)}
Example 3:
Question: Find the incircle radius of triangle ABC whose vertices are A=(6, 7), B=(-7, -5), and C=(2, -3).
Answer: 2.176
Metadata: {'A': (6, 7), 'B': (-7, -5), 'C': (2, -3), 'incircle_radius_exact': 'sqrt(-sqrt(29) + sqrt(85)/2 + sqrt(313)/2)*sqrt(-sqrt(313)/2 + sqrt(85)/2 + sqrt(29))*sqrt(-sqrt(85)/2 + sqrt(29) + sqrt(313)/2)/sqrt(sqrt(85)/2 + sqrt(29) + sqrt(313)/2)', 'incircle_radius_approx': 2.176123777286009}
A procedural dataset inspired by the "Alice in Wonderland" paper.
The dataset is inspired by the following paper:
@inproceedings{nezhurina2024alice,
title={Alice in Wonderland: Simple Tasks Reveal Severe Generalization and
Basic Reasoning Deficits in State-Of-the-Art Large Language Models},
author={Marianna Nezhurina and Lucia Cipolina-Kun and Mehdi Cherti and
Jenia Jitsev},
booktitle={NeurIPS 2024 Workshop on Scientific Methods for Understanding
Deep Learning},
year={2024},
url={https://openreview.net/forum?id=Mkl7dzjYiW}
}
Default configuration:
male_names = ['James', 'John', 'Robert', 'Michael', 'William', 'David', 'Richard', 'Joseph', 'Thomas', 'Charles', 'Bob']
female_names = ['Mary', 'Patricia', 'Jennifer', 'Linda', 'Elizabeth', 'Barbara', 'Susan', 'Jessica', 'Sarah', 'Margaret', 'Alice']
task_types = [<TaskType.SIBLINGS: 'siblings'>, <TaskType.FRIENDS: 'friends'>, <TaskType.COLLEAGUES: 'colleagues'>]
seed = 42
size = 10
max_entities = 6Example tasks:
Example 1:
Question: Patricia has 6 male colleagues and she also has 3 female colleagues. These are all colleagues that Patricia has. All these mentioned persons around Patricia are colleagues of each other. James has 2 male colleagues and 2 female colleagues in total. All these mentioned persons around James are colleagues of each other. The people in the circle around James do not have other colleagues aside - with the only exception of Matilda. She is colleague of James and she is also colleague of Patricia, being part of Patricia's circle. How many female colleagues does Matilda have?
Answer: 4
Metadata: {'task_type': 'colleagues'}
Example 2:
Question: Elizabeth has 4 brothers and she also has 3 sisters. How many sisters does Elizabeth's brother have?
Answer: 4
Metadata: {'task_type': 'siblings'}
Example 3:
Question: Sarah has 6 male friends and she also has 1 female friends. They all are friends with each other and have no other friends aside. How many female friends does Thomas, a male friend of Sarah, have?
Answer: 2
Metadata: {'task_type': 'friends'}
Generates base conversion tasks
Default configuration:
min_base = 2
max_base = 16
min_value = 0
max_value = 1000
seed = 42
size = 500Example tasks:
Example 1:
Question: Convert the base-3 number 220020 to binary
Answer: 1010001110
Metadata: {'decimal_value': 654, 'source_base': 3, 'target_base': 2, 'source_repr': '220020', 'target_repr': '1010001110'}
Example 2:
Question: Convert the base-6 number 103 to base-13 (use lowercase letters a-z for digits above 9)
Answer: 30
Metadata: {'decimal_value': 39, 'source_base': 6, 'target_base': 13, 'source_repr': '103', 'target_repr': '30'}
Example 3:
Question: Convert the base-10 number 418 to base-13 (use lowercase letters a-z for digits above 9)
Answer: 262
Metadata: {'decimal_value': 418, 'source_base': 10, 'target_base': 13, 'source_repr': '418', 'target_repr': '262'}
Dataset that generates basic arithmetic tasks with configurable complexity
Default configuration:
min_terms = 2
max_terms = 6
min_digits = 1
max_digits = 4
operators = ('+', '-', '*', '/')
allow_parentheses = True
allow_negation = True
seed = 42
size = 500
format_style = simple
whitespace = singleExample tasks:
Example 1:
Question: -5 * -6 =
Answer: 30
Metadata: {'num_terms': 2, 'num_digits': 1, 'expression': '-5 * -6'}
Example 2:
Question: 965 / 5 =
Answer: 193
Metadata: {'num_terms': 2, 'num_digits': 3, 'expression': '965 / 5'}
Example 3:
Question: 0 + -2 + -4 * 0 * 3 =
Answer: -2
Metadata: {'num_terms': 5, 'num_digits': 1, 'expression': '0 + -2 + -4 * 0 * 3'}
Generates BF tasks
Default configuration:
seed = 42
size = 500
difficulty = 1Example tasks:
Example 1:
Question: This is a BF (Brainf*ck) computer program. What is the output?
>[-]>[-]<>++++++++++[<+++++++++++>-]<+.-.+++++.--------------.+++++++++++++++.<
Answer: onset
Metadata: {'bfit_code': '\nint main() {\n print("onset");\n}\n', 'bf_program': '>[-]>[-]<>++++++++++[<+++++++++++>-]<+.-.+++++.--------------.+++++++++++++++.<'}
Example 2:
Question: This is a BF (Brainf*ck) computer program. What is the output?
>[-]>[-]<>++++++++[<++++++++++++++>-]<.-----------.+++++++++++++.---------------.+++++.<
Answer: perch
Metadata: {'bfit_code': '\nint main() {\n print("perch");\n}\n', 'bf_program': '>[-]>[-]<>++++++++[<++++++++++++++>-]<.-----------.+++++++++++++.---------------.+++++.<'}
Example 3:
Question: This is a BF (Brainf*ck) computer program. What is the output?
>[-]>[-]<>+++++++++[<+++++++++++++>-]<.-------.----------.+.+++++++++++++.<
Answer: under
Metadata: {'bfit_code': '\nint main() {\n print("under");\n}\n', 'bf_program': '>[-]>[-]<>+++++++++[<+++++++++++++>-]<.-------.----------.+.+++++++++++++.<'}
Generates Caesar cipher encryption/decryption tasks
Default configuration:
delimiter = .
min_words = 3
max_words = 20
min_rotation = 1
max_rotation = 25
seed = 42
size = 500Example tasks:
Example 1:
Question: Decrypt this Caesar cipher text: JNJUBUF ZPVS BTTPDJBUF XIPN J XBT DPNQMJNFOUJOH B NPNFOU BHP
Answer: IMITATE YOUR ASSOCIATE WHOM I WAS COMPLIMENTING A MOMENT AGO
Metadata: {'rotation': 1, 'cipher_text': 'JNJUBUF ZPVS BTTPDJBUF XIPN J XBT DPNQMJNFOUJOH B NPNFOU BHP', 'clear_text': 'IMITATE YOUR ASSOCIATE WHOM I WAS COMPLIMENTING A MOMENT AGO'}
Example 2:
Question: Decrypt this Caesar cipher text: PBSDJ XKZYVOYX CWSDR LYEQRD SD PYB K WOBO KXN YBSQSXKDON DOVOZRYXSM TYEBXKVSCW
Answer: FRITZ NAPOLEON SMITH BOUGHT IT FOR A MERE AND ORIGINATED TELEPHONIC JOURNALISM
Metadata: {'rotation': 10, 'cipher_text': 'PBSDJ XKZYVOYX CWSDR LYEQRD SD PYB K WOBO KXN YBSQSXKDON DOVOZRYXSM TYEBXKVSCW', 'clear_text': 'FRITZ NAPOLEON SMITH BOUGHT IT FOR A MERE AND ORIGINATED TELEPHONIC JOURNALISM'}
Example 3:
Question: Decrypt this Caesar cipher text: ZW PFLI JKFDRTY ZJ FLK FW ZK DLJK SV DVEUVU
Answer: IF YOUR STOMACH IS OUT OF IT MUST BE MENDED
Metadata: {'rotation': 17, 'cipher_text': 'ZW PFLI JKFDRTY ZJ FLK FW ZK DLJK SV DVEUVU', 'clear_text': 'IF YOUR STOMACH IS OUT OF IT MUST BE MENDED'}
Default configuration:
year = 2022
tasks = ['weekday_offset', 'weekday_of_date', 'weekday_of_date_from_first_day', 'recurring_event_day', 'count_days', 'count_business_days', 'is_leap_year']
offset_upper_bound = 100
leap_year_range = 200
seed = 42
size = 500Example tasks:
Example 1:
Question: Between Sunday, February 27, 2022 and Wednesday, March 2, 2022 (counting both dates), what's the total count of business days (Monday through Friday)? Give the count numerically.
Answer: 3
Metadata: {'task': 'count_business_days', 'start_date': '2022-02-27', 'end_date': '2022-03-02'}
Example 2:
Question: Starting from Monday, May 23, 2022, which weekday was it 98 days before? Write out the full weekday name.
Answer: Monday
Metadata: {'task': 'weekday_offset', 'start_date': '2022-05-23', 'offset_days': -98, 'target_date': '2022-02-14'}
Example 3:
Question: If a meeting is scheduled on the last Saturday of September 2022, on which day of the month does it occur? Respond with just the number. Answer with -1 if the ordinal does not exist in the month.
Answer: 24
Metadata: {'task': 'recurring_event_day', 'year': 2022, 'month': 9, 'ordinal': 'last', 'weekday': 'Saturday'}
Generates simple arithmetic tasks using only + and - operators
Default configuration:
min_terms = 2
max_terms = 6
min_digits = 1
max_digits = 4
allow_negation = False
seed = 42
size = 500Example tasks:
Example 1:
Question: 4 + 3 =
Answer: 7
Metadata: {'num_terms': 2, 'num_digits': 1, 'expression': '4 + 3'}
Example 2:
Question: 812 + 880 =
Answer: 1692
Metadata: {'num_terms': 2, 'num_digits': 3, 'expression': '812 + 880'}
Example 3:
Question: 2 + 6 + 3 + 4 + 0 =
Answer: 15
Metadata: {'num_terms': 5, 'num_digits': 1, 'expression': '2 + 6 + 3 + 4 + 0'}
Generates color cube rotation reasoning tasks
Default configuration:
min_rotations = 1
max_rotations = 3
seed = 42
size = 500Example tasks:
Example 1:
Question: A cube has:
- a pink top side
- a gray right side
- a orange front side
- a purple left side
- a indigo back side
- a cyan bottom side
The cube is rotated so that the side which was before at the bottom is now at the top.
What is now the color of the back side of the cube?
Answer: orange
Metadata: {'initial_state': {'top': 'pink', 'right': 'gray', 'front': 'orange', 'left': 'purple', 'back': 'indigo', 'bottom': 'cyan'}, 'rotations': ['bottom'], 'target_side': 'back', 'num_rotations': 1}
Example 2:
Question: A cube has:
- a gray top side
- a brown right side
- a silver front side
- a red left side
- a purple back side
- a yellow bottom side
The cube is rotated so that the side which was before at the left is now at the top.
Next, the bottom side is rotated to become the top face.
After that the cube is turned to make the bottom face the top.
What is now the color of the left side of the cube?
Answer: yellow
Metadata: {'initial_state': {'top': 'gray', 'right': 'brown', 'front': 'silver', 'left': 'red', 'back': 'purple', 'bottom': 'yellow'}, 'rotations': ['left', 'bottom', 'bottom'], 'target_side': 'left', 'num_rotations': 3}
Example 3:
Question: A cube has:
- a orange top side
- a cyan right side
- a violet front side
- a pink left side
- a gray back side
- a gold bottom side
The cube is rotated so that the side which was before at the left is now at the top.
Now the cube is rotated to place its back side at the top.
Now the cube is rotated to place its bottom side at the top.
What is now the color of the left side of the cube?
Answer: gold
Metadata: {'initial_state': {'top': 'orange', 'right': 'cyan', 'front': 'violet', 'left': 'pink', 'back': 'gray', 'bottom': 'gold'}, 'rotations': ['left', 'back', 'bottom'], 'target_side': 'left', 'num_rotations': 3}
Generates Countdown Number Game tasks
Default configuration:
min_numbers = 4
max_numbers = 6
min_value = 1
max_value = 100
min_target = 100
max_target = 999
operators = ('+', '-', '*', '/')
shuffle = True
seed = 42
size = 500Example tasks:
Example 1:
Question: Calculate 139 using the numbers 36, 29, 95, 32, 4, 15.
Each number may be used at most once.
Answer: 15 - 4 + 95 + 36 - 32 + 29
Metadata: {'numbers': [36, 29, 95, 32, 4, 15], 'target': 139, 'expression': '15 - 4 + 95 + 36 - 32 + 29'}
Example 2:
Question: Using the numbers 74, 48, 56, 66, create an expression that equals 132.
You can only use each number once.
Answer: 66 - 56 + 74 + 48
Metadata: {'numbers': [74, 48, 56, 66], 'target': 132, 'expression': '66 - 56 + 74 + 48'}
Example 3:
Question: Using the numbers 5, 41, 38, 81, 14, create an expression that equals 450.
You can only use each number once.
Answer: 41*14 - 81 - 38 - 5
Metadata: {'numbers': [5, 41, 38, 81, 14], 'target': 450, 'expression': '41*14 - 81 - 38 - 5'}
Generates family relationship reasoning tasks
Default configuration:
min_family_size = 4
max_family_size = 8
male_names = ['James', 'John', 'Robert', 'Michael', 'William', 'David', 'Richard', 'Joseph', 'Thomas', 'Charles', 'Peter', 'Daniel', 'Matthew', 'Christopher', 'Andrew', 'George', 'Edward', 'Benjamin', 'Henry', 'Samuel', 'Alexander', 'Oliver', 'Jack', 'Harry', 'Jacob', 'Noah', 'Ethan', 'Lucas', 'Mason', 'Logan', 'Sebastian', 'Theodore', 'Owen', 'Liam', 'Aiden', 'Kai', 'Jayden', 'Zion', 'Phoenix', 'Atlas', 'Axel', 'Ryder', 'Finn']
female_names = ['Mary', 'Patricia', 'Jennifer', 'Linda', 'Elizabeth', 'Barbara', 'Susan', 'Jessica', 'Sarah', 'Karen', 'Emma', 'Lisa', 'Anna', 'Margaret', 'Victoria', 'Charlotte', 'Sophia', 'Isabella', 'Olivia', 'Ava', 'Mia', 'Emily', 'Abigail', 'Amelia', 'Eleanor', 'Grace', 'Alice', 'Lucy', 'Chloe', 'Sophie', 'Lily', 'Hannah', 'Zoe', 'Luna', 'Nova', 'Aria', 'Willow', 'Aurora', 'Sage', 'River', 'Winter', 'Sky', 'Rain']
seed = 42
size = 500Example tasks:
Example 1:
Question: John is married to Isabella. They have a child called Edward. Edward is married to Victoria.
What is Isabella to Edward?
Answer: mother
Metadata: {'person1': 'Isabella', 'person2': 'Edward', 'relationship': 'mother', 'family_size': 4}
Example 2:
Question: Henry is married to Karen. They have a child called Sebastian. Sebastian is married to Eleanor.
What relation is Henry to Karen?
Answer: husband
Metadata: {'person1': 'Henry', 'person2': 'Karen', 'relationship': 'husband', 'family_size': 4}
Example 3:
Question: Liam is married to Nova. They have a child called Noah. Noah is married to Charlotte. They have a child called Patricia. Joseph is married to Lisa. They have a child called Charlotte.
What is Liam to Noah?
Answer: father
Metadata: {'person1': 'Liam', 'person2': 'Noah', 'relationship': 'father', 'family_size': 7}
Generates FigletFont tasks
Default configuration:
static_word = None
static_font = None
space_letters = True
seed = 42
size = 500Example tasks:
Example 1:
Question: Please read the following figlet font:
sSSSs d s b sss. d sss sss sssss
S S S S S d S S
S S S SS Y S S
S S S S ss. S sSSs S
S S S S b S S
S S S S P S S
"sss" P P ` ss' P sSSss P
Answer: ONSET
Metadata: {'font': 'amc_tubes', 'space_letters': True}
Example 2:
Question: What word does this say?
###### ###### ###### #### ## ##
## ## ## ## ## ## ## ## ## ##
## ## ## ## ## ## ## ## ##
##### #### ##### ## ######
## ## ## ## ## ## ## ##
## ## ## ## ## ## ## ## ##
#### ###### ### ### #### ## ##
Answer: PERCH
Metadata: {'font': 'demo_2__', 'space_letters': True}
Example 3:
Question: What word does this say?
### ### ### ### ##### ###### #####
## ## ## # ## ## ## # ## ##
## ## ### # ## ## #### ## ##
## ## ##### ## ## ## ####
## ## ## ## ## ## ## ## ## ##
### ### ## ##### ###### #### ##
Answer: UNDER
Metadata: {'font': 'xcourb', 'space_letters': True}
Generates fraction simplification tasks
Default configuration:
min_value = 1
max_value = 1000
min_factor = 1
max_factor = 100
styles = ('plain', 'latex_inline', 'latex_frac', 'latex_dfrac')
seed = 42
size = 500Example tasks:
Example 1:
Question: Simplify the fraction $\frac{92}{524}$ to its lowest terms
Answer: $\frac{23}{131}$
Metadata: {'numerator': 92, 'denominator': 524, 'simplified_numerator': 23, 'simplified_denominator': 131, 'reduction_factor': 4, 'style': 'latex_frac'}
Example 2:
Question: Simplify the fraction $3600/26370$ to its lowest terms
Answer: $40/293$
Metadata: {'numerator': 3600, 'denominator': 26370, 'simplified_numerator': 40, 'simplified_denominator': 293, 'reduction_factor': 90, 'style': 'latex_inline'}
Example 3:
Question: Simplify the fraction 29330/37310 to its lowest terms
Answer: 419/533
Metadata: {'numerator': 29330, 'denominator': 37310, 'simplified_numerator': 419, 'simplified_denominator': 533, 'reduction_factor': 70, 'style': 'plain'}
Generates Game of Life games with configurable parameters
Default configuration:
grid_size_x = 20
grid_size_y = 20
filled_cells = 100
simulation_steps = 1
seed = 42
size = 500Example tasks:
Example 1:
Question: What will this Game of Life board look like after 1 steps of simulation?
[[0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0]
[0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0]
[1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0]
[0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0]
[0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0]
[0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0]
[1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0]
[1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0]
[0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1]
[1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0]
[0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1]
[0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1]
[0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0]
[1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0]
[1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1]
[0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0]
[0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0]]
Answer: [[0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0]
[0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0]
[0 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0 0]
[0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1]
[1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0]
[0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 1]
[1 1 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0]
[0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1]
[1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1]
[1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1]
[1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0]
[1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1]
[0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]
Metadata: {'grid_size_x': 20, 'grid_size_y': 20, 'filled_cells': 100, 'simulation_steps': 1}
Example 2:
Question: What will this Game of Life board look like after 1 steps of simulation?
[[1 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0]
[0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0]
[0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0]
[0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1]
[0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0]
[0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0]
[1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0]
[0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0]
[0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0]
[0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1]
[0 0 1 1 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1]
[0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1]
[0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1]
[0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1]
[0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0]
[0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1]
[0 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0]
[0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0]]
Answer: [[0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1]
[0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0]
[0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0]
[1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0]
[0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0]
[1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1]
[1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0 0]
[1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0]
[0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0]
[0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0]]
Metadata: {'grid_size_x': 20, 'grid_size_y': 20, 'filled_cells': 100, 'simulation_steps': 1}
Example 3:
Question: What will this Game of Life board look like after 1 steps of simulation?
[[0 0 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1]
[0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1]
[0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0]
[0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0]
[0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1]
[0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0]
[1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1]
[0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0]
[0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0]
[0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0]
[0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0]
[0 0 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 0]
[1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0]
[0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0]
[0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0]]
Answer: [[1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1]
[0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0]
[0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0]
[0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0]
[0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1]
[0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1]
[0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
[0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0]
[0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0]
[0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0]
[0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0]
[0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0]
[0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0]
[0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0]]
Metadata: {'grid_size_x': 20, 'grid_size_y': 20, 'filled_cells': 100, 'simulation_steps': 1}
Generates Greatest Common Divisor (GCD) tasks
Default configuration:
min_numbers = 2
max_numbers = 2
min_value = 1
max_value = 1000
seed = 42
size = 500Example tasks:
Example 1:
Question: Find the Greatest Common Divisor (GCD) of these numbers: 26, 760
Answer: 2
Metadata: {'numbers': [26, 760], 'result': 2}
Example 2:
Question: Find the Greatest Common Divisor (GCD) of these numbers: 688, 716
Answer: 4
Metadata: {'numbers': [688, 716], 'result': 4}
Example 3:
Question: Find the Greatest Common Divisor (GCD) of these numbers: 297, 30
Answer: 3
Metadata: {'numbers': [297, 30], 'result': 3}
Generates Least Common Multiple (LCM) tasks
Default configuration:
min_numbers = 2
max_numbers = 2
min_value = 1
max_value = 100
seed = 42
size = 500Example tasks:
Example 1:
Question: Find the Least Common Multiple (LCM) of these numbers: 95, 14
Answer: 1330
Metadata: {'numbers': [95, 14], 'result': 1330}
Example 2:
Question: Find the Least Common Multiple (LCM) of these numbers: 60, 48
Answer: 240
Metadata: {'numbers': [60, 48], 'result': 240}
Example 3:
Question: Find the Least Common Multiple (LCM) of these numbers: 38, 4
Answer: 76
Metadata: {'numbers': [38, 4], 'result': 76}
Generates leg counting arithmetic tasks
Default configuration:
min_animals = 2
max_animals = 5
max_instances = 3
seed = 42
size = 500Example tasks:
Example 1:
Question: How many legs are there in total if you have 1 sea slug, 1 deer?
Answer: 4
Metadata: {'animals': {'sea slug': 1, 'deer': 1}, 'total_legs': 4}
Example 2:
Question: How many legs are there in total if you have 2 sheeps, 2 dogs?
Answer: 16
Metadata: {'animals': {'sheep': 2, 'dog': 2}, 'total_legs': 16}
Example 3:
Question: How many legs are there in total if you have 1 crab, 2 lobsters, 1 human, 1 cow, 1 bee?
Answer: 42
Metadata: {'animals': {'crab': 1, 'lobster': 2, 'human': 1, 'cow': 1, 'bee': 1}, 'total_legs': 42}
Generates letter counting tasks from text spans
Default configuration:
min_words = 5
max_words = 15
seed = 42
size = 500Example tasks:
Example 1:
Question: How many times does the letter "a" appear in the text: "bed and enters his mechanical dresser Two minutes later the machine deposited him all dressed"?
Answer: 6
Metadata: {'span_length': 15, 'target_letter': 'a', 'span': ['bed', 'and', 'enters', 'his', 'mechanical', 'dresser', 'Two', 'minutes', 'later', 'the', 'machine', 'deposited', 'him', 'all', 'dressed']}
Example 2:
Question: How many times does the letter "w" appear in the text: "it into a watering place"?
Answer: 1
Metadata: {'span_length': 5, 'target_letter': 'w', 'span': ['it', 'into', 'a', 'watering', 'place']}
Example 3:
Question: How many times does the letter "t" appear in the text: "readable form accessible by the widest array of equipment including outdated"?
Answer: 5
Metadata: {'span_length': 11, 'target_letter': 't', 'span': ['readable', 'form', 'accessible', 'by', 'the', 'widest', 'array', 'of', 'equipment', 'including', 'outdated']}
Generates word letter jumbling tasks
Default configuration:
min_word_len = 1
max_word_len = 64
min_words = 3
max_words = 20
min_corruption_level = 0.1
max_corruption_level = 0.9
consecutive_words = True
seed = 42
size = 500Example tasks:
Example 1:
Question: Unscramble these words: ew hsall eb ebla ot puodrce
Answer: we shall be able to produce
Metadata: {'num_words': 6, 'corruption_level': 0.12000860417813355, 'scrambled_words': ['ew', 'hsall', 'eb', 'ebla', 'ot', 'puodrce'], 'original_words': ['we', 'shall', 'be', 'able', 'to', 'produce']}
Example 2:
Question: Unscramble these words: ni oiurnalmsj Well Cahs
Answer: in journalism Well Cash
Metadata: {'num_words': 4, 'corruption_level': 0.3288673442377109, 'scrambled_words': ['ni', 'oiurnalmsj', 'Well', 'Cahs'], 'original_words': ['in', 'journalism', 'Well', 'Cash']}
Example 3:
Question: Unscramble these words: dear rchAdbali keep no nSice yrstyedae atnhks ot oyu rheet si a gain fo sucrbbisesr rM
Answer: dear Archibald keep on Since yesterday thanks to you there is a gain of subscribers Mr
Metadata: {'num_words': 16, 'corruption_level': 0.516016391169858, 'scrambled_words': ['dear', 'rchAdbali', 'keep', 'no', 'nSice', 'yrstyedae', 'atnhks', 'ot', 'oyu', 'rheet', 'si', 'a', 'gain', 'fo', 'sucrbbisesr', 'rM'], 'original_words': ['dear', 'Archibald', 'keep', 'on', 'Since', 'yesterday', 'thanks', 'to', 'you', 'there', 'is', 'a', 'gain', 'of', 'subscribers', 'Mr']}
Generates mazes with guaranteed shortest path distance from start to goal within [min_dist, max_dist].
Default configuration:
min_dist = 5
max_dist = 10
min_grid_size = 5
max_grid_size = 10
seed = 42
size = 50Example tasks:
Example 1:
Question: Navigate from '3' (start) to 'z' (goal):
```
>>>>>>>>>
>eeee>e>>
>ee>>>>>>
>eeeeee>>
>e>ee>>e>
>>ez>3e>>
>eee>e>e>
>eeeee>e>
>>>>>>>>>
```
Legend: '>' = Wall, 'e' = Passage
What is the minimum number of steps to reach the goal?
Answer: 6
Metadata: {'grid_size': 9, 'grid': ['>>>>>>>>>', '>eeee>e>>', '>ee>>>>>>', '>eeeeee>>', '>e>ee>>e>', '>>ez>3e>>', '>eee>e>e>', '>eeeee>e>', '>>>>>>>>>'], 'shortest_path_length': 6, 'start': '3', 'goal': 'z', 'wall': '>', 'path': 'e'}
Example 2:
Question: Navigate from '`' (start) to 'i' (goal):
```
4444444
4AAAAi4
4A4A4A4
4A4AA44
44AAAA4
44A`444
4444444
```
Legend: '4' = Wall, 'A' = Passage
What is the minimum number of steps to reach the goal?
Answer: 6
Metadata: {'grid_size': 7, 'grid': ['4444444', '4AAAAi4', '4A4A4A4', '4A4AA44', '44AAAA4', '44A`444', '4444444'], 'shortest_path_length': 6, 'start': '`', 'goal': 'i', 'wall': '4', 'path': 'A'}
Example 3:
Question: Navigate from '(' (start) to '`' (goal):
```
QQQQQQQ
QQ%%%%Q
QQ`%Q%Q
Q%%Q%%Q
Q%%%Q%Q
Q%QQ%(Q
QQQQQQQ
```
Legend: 'Q' = Wall, '%' = Passage
What is the minimum number of steps to reach the goal?
Answer: 8
Metadata: {'grid_size': 7, 'grid': ['QQQQQQQ', 'QQ%%%%Q', 'QQ`%Q%Q', 'Q%%Q%%Q', 'Q%%%Q%Q', 'Q%QQ%(Q', 'QQQQQQQ'], 'shortest_path_length': 8, 'start': '(', 'goal': '`', 'wall': 'Q', 'path': '%'}
Generates 4x4 sudoku puzzles with configurable difficulty
Default configuration:
min_empty = 8
max_empty = 12
seed = 42
size = 500Example tasks:
Example 1:
Question: Solve this 4x4 Mini Sudoku puzzle:
_ _ _ _
_ _ _ _
_ 1 3 _
_ 4 _ 1
Answer: 4 2 1 3
1 3 4 2
2 1 3 4
3 4 2 1
Metadata: {'puzzle': [[0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 3, 0], [0, 4, 0, 1]], 'solution': [[4, 2, 1, 3], [1, 3, 4, 2], [2, 1, 3, 4], [3, 4, 2, 1]], 'num_empty': 12}
Example 2:
Question: Solve this 4x4 Mini Sudoku puzzle:
3 _ _ _
_ _ 4 _
4 2 _ _
_ _ _ 4
Answer: 3 4 1 2
2 1 4 3
4 2 3 1
1 3 2 4
Metadata: {'puzzle': [[3, 0, 0, 0], [0, 0, 4, 0], [4, 2, 0, 0], [0, 0, 0, 4]], 'solution': [[3, 4, 1, 2], [2, 1, 4, 3], [4, 2, 3, 1], [1, 3, 2, 4]], 'num_empty': 11}
Example 3:
Question: Solve this 4x4 Mini Sudoku puzzle:
_ _ _ _
1 3 4 _
3 1 2 4
4 _ _ _
Answer: 2 4 1 3
1 3 4 2
3 1 2 4
4 2 3 1
Metadata: {'puzzle': [[0, 0, 0, 0], [1, 3, 4, 0], [3, 1, 2, 4], [4, 0, 0, 0]], 'solution': [[2, 4, 1, 3], [1, 3, 4, 2], [3, 1, 2, 4], [4, 2, 3, 1]], 'num_empty': 8}
Generates number filtering tasks
Default configuration:
min_numbers = 3
max_numbers = 10
min_decimals = 0
max_decimals = 4
min_value = -100.0
max_value = 100.0
seed = 42
size = 500Example tasks:
Example 1:
Question: Keep all numbers larger than -90 in this list: ['-95.00', '-51.0', '47.2942', '-82.612']
Answer: ['-51.0', '47.2942', '-82.612']
Metadata: {'original_numbers': ['-95.00', '-51.0', '47.2942', '-82.612'], 'filter_value': '-90', 'operation': 'keep_larger', 'result': ['-51.0', '47.2942', '-82.612']}
Example 2:
Question: Remove all numbers larger than 18.236 in this list: ['-42.8', '91.88', '34']
Answer: ['-42.8']
Metadata: {'original_numbers': ['-42.8', '91.88', '34'], 'filter_value': '18.236', 'operation': 'remove_larger', 'result': ['-42.8']}
Example 3:
Question: Keep all numbers larger than 19.8962 in this list: ['4', '-64.7', '-42.1', '-77', '-79.9640', '37.76', '38.702', '18.20', '-28.34']
Answer: ['37.76', '38.702']
Metadata: {'original_numbers': ['4', '-64.7', '-42.1', '-77', '-79.9640', '37.76', '38.702', '18.20', '-28.34'], 'filter_value': '19.8962', 'operation': 'keep_larger', 'result': ['37.76', '38.702']}
Generates number sequence completion tasks with dynamic pattern generation
Default configuration:
min_terms = 4
max_terms = 8
min_value = -100
max_value = 100
max_complexity = 3
seed = 42
size = 500Example tasks:
Example 1:
Question: 3, 6, 12, 24, 48, 96, 192, 384, ?
Answer: 768
Metadata: {'rule': 'double', 'complexity': 3, 'sequence': [3, 6, 12, 24, 48, 96, 192, 384, 768]}
Example 2:
Question: 8, 14, 20, 26, 32, 38, 44, ?
Answer: 50
Metadata: {'rule': 'add 6', 'complexity': 1, 'sequence': [8, 14, 20, 26, 32, 38, 44, 50]}
Example 3:
Question: 8, 4, 2, 1, 0, 0, 0, ?
Answer: 0
Metadata: {'rule': 'halve', 'complexity': 2, 'sequence': [8, 4, 2, 1, 0, 0, 0, 0]}
Generates number sorting tasks
Default configuration:
min_numbers = 3
max_numbers = 10
min_decimals = 0
max_decimals = 2
min_value = -100.0
max_value = 100.0
seed = 42
size = 500Example tasks:
Example 1:
Question: Sort these numbers in ascending order: 48, -51, -72, -80
Answer: ['-80', '-72', '-51', '48']
Metadata: {'original_numbers': ['48', '-51', '-72', '-80'], 'direction': 'ascending', 'sorted_numbers': ['-80', '-72', '-51', '48']}
Example 2:
Question: Sort these numbers in ascending order: 39.2, -71.2, -7.5
Answer: ['-71.2', '-7.5', '39.2']
Metadata: {'original_numbers': ['39.2', '-71.2', '-7.5'], 'direction': 'ascending', 'sorted_numbers': ['-71.2', '-7.5', '39.2']}
Example 3:
Question: Sort these numbers in descending order: 8.39, 72.41, -64.67, -54.97, -94.18, -76.67, -98.24, -68.66, 2.74
Answer: ['72.41', '8.39', '2.74', '-54.97', '-64.67', '-68.66', '-76.67', '-94.18', '-98.24']
Metadata: {'original_numbers': ['8.39', '72.41', '-64.67', '-54.97', '-94.18', '-76.67', '-98.24', '-68.66', '2.74'], 'direction': 'descending', 'sorted_numbers': ['72.41', '8.39', '2.74', '-54.97', '-64.67', '-68.66', '-76.67', '-94.18', '-98.24']}
Generates random polynomial equations of degree in [min_degree, max_degree]. - The polynomial is formed by summing random terms of the form: coeff * x^exponent. - Then we solve "polynomial_expr = 0" using Sympy. - The solution may be real or complex; we filter real solutions by default for simplicity.
Default configuration:
min_terms = 2
max_terms = 4
min_value = 1
max_value = 100
min_degree = 1
max_degree = 3
operators = ('+', '-')
seed = 42
size = 500Example tasks:
Example 1:
Question: Find the real value(s) of u in the equation: -127*u = 0
Answer: [0.0]
Metadata: {'polynomial_expr': '-127*u', 'variable': 'u', 'degree': 1, 'real_solutions': [0.0]}
Example 2:
Question: Determine the real value(s) of b tha satisfies: 86*b**2 - 2*b - 13 = 0
Answer: [-0.3773425275273891, 0.4005983414808775]
Metadata: {'polynomial_expr': '86*b**2 - 2*b - 13', 'variable': 'b', 'degree': 2, 'real_solutions': [-0.3773425275273891, 0.4005983414808775]}
Example 3:
Question: Determine the real value(s) of n tha satisfies: 71*n**3 - 2*n - 29 = 0
Answer: [0.7546129960163634]
Metadata: {'polynomial_expr': '71*n**3 - 2*n - 29', 'variable': 'n', 'degree': 3, 'real_solutions': [0.7546129960163634]}
Generates prime factorization tasks
Default configuration:
min_value = 2
max_value = 1000
seed = 42
size = 500Example tasks:
Example 1:
Question: Find the prime factorization of 656. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
Answer: 2 × 2 × 2 × 2 × 41
Metadata: {'number': 656, 'factors': [2, 2, 2, 2, 41]}
Example 2:
Question: Find the prime factorization of 41. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
Answer: 41
Metadata: {'number': 41, 'factors': [41]}
Example 3:
Question: Find the prime factorization of 420. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)
Answer: 2 × 2 × 3 × 5 × 7
Metadata: {'number': 420, 'factors': [2, 2, 3, 5, 7]}
Generates propositional logic reasoning tasks
Default configuration:
min_vars = 2
max_vars = 4
min_statements = 2
max_statements = 4
max_complexity = 3
seed = 42
size = 500Example tasks:
Example 1:
Question: Given:
1. R
2. Q
What can we conclude?
Answer: (P ∨ Q)
Metadata: {'premises': ['R', 'Q'], 'variables': ['P', 'Q', 'R', 'S'], 'complexity': 3}
Example 2:
Question: Given:
1. ((Q → P) ∨ (Q → P))
2. ((Q ↔ Q) → (P → P))
3. P
What can we conclude?
Answer: (P → P)
Metadata: {'premises': ['((Q → P) ∨ (Q → P))', '((Q ↔ Q) → (P → P))', 'P'], 'variables': ['P', 'Q'], 'complexity': 3}
Example 3:
Question: Given:
1. ((Q ∨ P) ∧ ¬P)
2. P
3. ((P ∧ R) ∧ ¬R)
4. ((Q ↔ R) → ¬Q)
What can we conclude?
Answer: (Q ∧ Q)
Metadata: {'premises': ['((Q ∨ P) ∧ ¬P)', 'P', '((P ∧ R) ∧ ¬R)', '((Q ↔ R) → ¬Q)'], 'variables': ['P', 'Q', 'R'], 'complexity': 3}
Generates QuantumLock tasks
Default configuration:
difficulty = 10
seed = 42
size = 500Example tasks:
Example 1:
Question: In front of you are some buttons, a light, and a number. The light will toggle between red and green whenever you press a button. Each button performs a mathematical operation to the number, but the operation may depend on the state of the light.
You must press the shortest correct sequence of buttons to reach the target value.
Start: 0 (red)
Target: 46
Buttons:
A: Add 3 (when any)
B: Add 2 (when any)
C: Multiply 2 (when any)
Answer: A → B → C → C → A → C
Metadata: {'difficulty': 10, 'solution_path': ['A', 'B', 'C', 'C', 'A', 'C'], 'target_value': 46, 'buttons': [{'name': 'A', 'type': 'add', 'value': 3, 'active_state': 'any'}, {'name': 'B', 'type': 'add', 'value': 2, 'active_state': 'any'}, {'name': 'C', 'type': 'multiply', 'value': 2, 'active_state': 'any'}], 'initial_state': 'red', 'initial_value': 0}
Example 2:
Question: In front of you are some buttons, a light, and a number. The light will toggle between red and green whenever you press a button. Each button performs a mathematical operation to the number, but the operation may depend on the state of the light.
You must press the shortest correct sequence of buttons to reach the target value.
Start: 0 (red)
Target: 30
Buttons:
A: Add 2 (when green)
B: Subtract 3 (when red)
C: Multiply 2 (when red)
Answer: C → A → C → A → C → A → C → A
Metadata: {'difficulty': 10, 'solution_path': ['C', 'A', 'C', 'A', 'C', 'A', 'C', 'A'], 'target_value': 30, 'buttons': [{'name': 'A', 'type': 'add', 'value': 2, 'active_state': 'green'}, {'name': 'B', 'type': 'subtract', 'value': 3, 'active_state': 'red'}, {'name': 'C', 'type': 'multiply', 'value': 2, 'active_state': 'red'}], 'initial_state': 'red', 'initial_value': 0}
Example 3:
Question: In front of you are some buttons, a light, and a number. The light will toggle between red and green whenever you press a button. Each button performs a mathematical operation to the number, but the operation may depend on the state of the light.
You must press the shortest correct sequence of buttons to reach the target value.
Start: 0 (red)
Target: 45
Buttons:
A: Subtract 2 (when any)
B: Add 3 (when any)
C: Add 2 (when any)
Answer: B → B → B → B → B → B → B → B → B → B → B → B → B → B → B
Metadata: {'difficulty': 10, 'solution_path': ['B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B'], 'target_value': 45, 'buttons': [{'name': 'A', 'type': 'subtract', 'value': 2, 'active_state': 'any'}, {'name': 'B', 'type': 'add', 'value': 3, 'active_state': 'any'}, {'name': 'C', 'type': 'add', 'value': 2, 'active_state': 'any'}], 'initial_state': 'red', 'initial_value': 0}
Generates RubiksCube tasks
Default configuration:
scramble_steps = 3
cube_size = 3
remove_ansi = True
seed = 42
size = 500Example tasks:
Example 1:
Question: You are given a 3x3x3 Rubik's cube. It looks like this:
G Y G
G Y G
G R G
W W W O G O Y Y Y R B R
R R R W G W O O O Y B Y
R R R W G W O O O Y B Y
B O B
B W B
B W B
Please provide a solution to solve this cube using Singmaster notation.
Answer: None
Metadata: {'cube_size': 3, 'scramble_steps': 3, 'scramble_moves': "F L' R", 'example_correct_answer': "L F' U' R D B' D' U R U' R' U B U' B' U' R' U R U B U' B' U R' U R U B U' B' U' B' U B U L U' L' U' B' U B U L U' L' U B' U B U L U' L' F R U R' U' F' U' R U R' U R U U R' F U' B' U F' U' B R' D' R D R' D' R D R' D' R D R' D' R D U R' D' R D R' D' R D U R' D' R D R' D' R D R' D' R D R' D' R D U R' D' R D R' D' R D U"}
Example 2:
Question: You are given a 3x3x3 Rubik's cube. It looks like this:
Y Y R
Y Y R
G G R
B B Y R R B W W W G O O
R R W G G G Y O O B B Y
R R W G G G Y O O B B Y
O O O
B W W
B W W
Please provide a solution to solve this cube using Singmaster notation.
Answer: None
Metadata: {'cube_size': 3, 'scramble_steps': 3, 'scramble_moves': "L' F U'", 'example_correct_answer': "U' D' B D L' U' F D R' D' U' R U' R' F' U U F U F U' F' U' L' U L U F U' F' U L' U L U F U' F' R U' R' U' F' U F R' U R U B U' B' U' U' B' U B U L U' L' F R U R' U' R U R' U' F' U R U R' U R U U R' U' R U R' U R U U R' U' R U' L' U R' U' L U F U' B' U F' U' B R' D' R D R' D' R D U U R' D' R D R' D' R D U R' D' R D R' D' R D U"}
Example 3:
Question: You are given a 3x3x3 Rubik's cube. It looks like this:
Y Y W
Y Y W
Y Y W
G G G O O B O O O G R R
R R R G G B O O O G B B
R R R G G R B B B O B B
W W Y
W W Y
W W Y
Please provide a solution to solve this cube using Singmaster notation.
Answer: None
Metadata: {'cube_size': 3, 'scramble_steps': 3, 'scramble_moves': "U R' R'", 'example_correct_answer': "R R U'"}
Generates sentence reordering tasks from text spans
Default configuration:
min_words_in_sentence = 3
max_words_in_sentence = 20
seed = 42
size = 500Example tasks:
Example 1:
Question: Restore the correct order of words in the following sentence: wish could get I sleep. "I some
Answer: "I wish I could get some sleep.
Metadata: {'word_count': 7}
Example 2:
Question: Restore the correct order of words in the following sentence: the high level name. itself its unable it maintain at was of to Unfortunately,
Answer: Unfortunately, it was unable to maintain itself at the high level of its name.
Metadata: {'word_count': 14}
Example 3:
Question: Restore the correct order of words in the following sentence: developed by For the unutilized. energy falls ages went the
Answer: For ages the the energy developed by falls went unutilized.
Metadata: {'word_count': 10}
Generates simple equations with one variable to solve
Default configuration:
min_terms = 2
max_terms = 4
min_value = 1
max_value = 100
operators = ('+', '-', '*')
seed = 42
size = 500Example tasks:
Example 1:
Question: Determine the value of u that satisfies: 32*u + 4 = 580
Answer: 18
Metadata: {'equation': '32*u + 4 = 580', 'variable': 'u'}
Example 2:
Question: Solve for b: 82080*b = 1067040
Answer: 13
Metadata: {'equation': '82080*b = 1067040', 'variable': 'b'}
Example 3:
Question: Determine the value of n that satisfies: 29*n - 5 = 430
Answer: 15
Metadata: {'equation': '29*n - 5 = 430', 'variable': 'n'}
A dataset for simple polygon angle-finding tasks. We randomly choose the number of sides N within [min_sides, max_sides]. We then generate (N-1) random angles (in degrees), ensuring their sum is strictly less than the total sum for an (N)-sided convex polygon (which is 180*(N-2)). The question asks for the missing angle; the answer is computed by subtracting the sum of known angles from 180*(N-2).
Default configuration:
min_sides = 3
max_sides = 6
min_angle = 10
max_angle = 170
seed = 42
size = 100Example tasks:
Example 1:
Question: Given a convex polygon with 3 sides, its first 2 interior angles are: 16.0°, 80.0°. What is the measure of the remaining interior angle (in degrees)?
Answer: 84
Metadata: {'n_sides': 3, 'known_angles': [16.0, 80.0], 'sum_of_known_angles': 96.0, 'missing_angle_raw': 84.0, 'missing_angle_rounded': 84, 'total_interior_sum': 180}
Example 2:
Question: A convex polygon has 3 sides. The measures of the first 2 interior angles are: 83.0°, 46.0°. Find the measure of the last interior angle.
Answer: 51
Metadata: {'n_sides': 3, 'known_angles': [83.0, 46.0], 'sum_of_known_angles': 129.0, 'missing_angle_raw': 51.0, 'missing_angle_rounded': 51, 'total_interior_sum': 180}
Example 3:
Question: Given a convex polygon with 6 sides, its first 5 interior angles are: 143.0°, 148.0°, 39.0°, 55.0°, 107.0°. What is the measure of the remaining interior angle (in degrees)?
Answer: 228
Metadata: {'n_sides': 6, 'known_angles': [143.0, 148.0, 39.0, 55.0, 107.0], 'sum_of_known_angles': 492.0, 'missing_angle_raw': 228.0, 'missing_angle_rounded': 228, 'total_interior_sum': 720}
Generates tasks to spell words backward
Default configuration:
min_word_len = 3
seed = 42
size = 500Example tasks:
Example 1:
Question: Spell this word backward (example: sun -> nus): Project
Answer: tcejorP
Metadata: {'word': 'Project', 'word_len': 7}
Example 2:
Question: Spell this word backward (example: sun -> nus): Would
Answer: dluoW
Metadata: {'word': 'Would', 'word_len': 5}
Example 3:
Question: Spell this word backward (example: sun -> nus): One
Answer: enO
Metadata: {'word': 'One', 'word_len': 3}
Generates sudoku puzzles with configurable difficulty
Default configuration:
min_empty = 30
max_empty = 50
seed = 42
size = 500Example tasks:
Example 1:
Question: Solve this Sudoku puzzle:
4 _ _ _ 5 2 _ 3 _
_ _ 3 4 6 _ _ _ _
6 1 2 _ _ 8 4 _ _
1 _ _ _ _ _ 7 9 5
3 _ _ 7 1 _ _ 2 6
7 _ _ 5 _ _ _ _ 3
2 _ _ _ 7 5 _ _ _
_ 3 _ _ 4 1 _ _ _
_ _ _ 2 8 _ _ _ 4
Answer: 4 7 8 1 5 2 6 3 9
5 9 3 4 6 7 2 8 1
6 1 2 3 9 8 4 5 7
1 2 4 8 3 6 7 9 5
3 5 9 7 1 4 8 2 6
7 8 6 5 2 9 1 4 3
2 4 1 9 7 5 3 6 8
8 3 5 6 4 1 9 7 2
9 6 7 2 8 3 5 1 4
Metadata: {'puzzle': [[4, 0, 0, 0, 5, 2, 0, 3, 0], [0, 0, 3, 4, 6, 0, 0, 0, 0], [6, 1, 2, 0, 0, 8, 4, 0, 0], [1, 0, 0, 0, 0, 0, 7, 9, 5], [3, 0, 0, 7, 1, 0, 0, 2, 6], [7, 0, 0, 5, 0, 0, 0, 0, 3], [2, 0, 0, 0, 7, 5, 0, 0, 0], [0, 3, 0, 0, 4, 1, 0, 0, 0], [0, 0, 0, 2, 8, 0, 0, 0, 4]], 'solution': [[4, 7, 8, 1, 5, 2, 6, 3, 9], [5, 9, 3, 4, 6, 7, 2, 8, 1], [6, 1, 2, 3, 9, 8, 4, 5, 7], [1, 2, 4, 8, 3, 6, 7, 9, 5], [3, 5, 9, 7, 1, 4, 8, 2, 6], [7, 8, 6, 5, 2, 9, 1, 4, 3], [2, 4, 1, 9, 7, 5, 3, 6, 8], [8, 3, 5, 6, 4, 1, 9, 7, 2], [9, 6, 7, 2, 8, 3, 5, 1, 4]], 'num_empty': 48}
Example 2:
Question: Solve this Sudoku puzzle:
_ _ _ 1 3 2 6 4 5
_ 4 _ 7 _ _ _ 9 1
_ _ 1 8 _ 9 _ _ _
_ 8 9 _ _ _ 7 5 4
_ 3 _ 4 _ 1 9 8 _
4 6 _ 5 9 _ 1 2 3
5 _ 4 9 1 7 3 _ _
9 7 6 _ 8 4 5 1 _
8 _ 3 _ _ _ 4 7 _
Answer: 7 9 8 1 3 2 6 4 5
3 4 2 7 5 6 8 9 1
6 5 1 8 4 9 2 3 7
1 8 9 6 2 3 7 5 4
2 3 5 4 7 1 9 8 6
4 6 7 5 9 8 1 2 3
5 2 4 9 1 7 3 6 8
9 7 6 3 8 4 5 1 2
8 1 3 2 6 5 4 7 9
Metadata: {'puzzle': [[0, 0, 0, 1, 3, 2, 6, 4, 5], [0, 4, 0, 7, 0, 0, 0, 9, 1], [0, 0, 1, 8, 0, 9, 0, 0, 0], [0, 8, 9, 0, 0, 0, 7, 5, 4], [0, 3, 0, 4, 0, 1, 9, 8, 0], [4, 6, 0, 5, 9, 0, 1, 2, 3], [5, 0, 4, 9, 1, 7, 3, 0, 0], [9, 7, 6, 0, 8, 4, 5, 1, 0], [8, 0, 3, 0, 0, 0, 4, 7, 0]], 'solution': [[7, 9, 8, 1, 3, 2, 6, 4, 5], [3, 4, 2, 7, 5, 6, 8, 9, 1], [6, 5, 1, 8, 4, 9, 2, 3, 7], [1, 8, 9, 6, 2, 3, 7, 5, 4], [2, 3, 5, 4, 7, 1, 9, 8, 6], [4, 6, 7, 5, 9, 8, 1, 2, 3], [5, 2, 4, 9, 1, 7, 3, 6, 8], [9, 7, 6, 3, 8, 4, 5, 1, 2], [8, 1, 3, 2, 6, 5, 4, 7, 9]], 'num_empty': 34}
Example 3:
Question: Solve this Sudoku puzzle:
_ _ 1 2 3 _ _ _ 9
3 _ _ 1 8 5 6 7 2
_ _ _ 4 9 6 1 _ _
1 _ 5 7 _ _ 9 2 _
_ 4 _ _ 5 9 7 1 6
9 _ 6 _ 1 _ 4 5 3
_ _ 3 9 7 _ 2 8 4
_ _ 2 6 4 _ _ 9 1
_ 1 _ 5 2 8 3 _ _
Answer: 5 6 1 2 3 7 8 4 9
3 9 4 1 8 5 6 7 2
8 2 7 4 9 6 1 3 5
1 3 5 7 6 4 9 2 8
2 4 8 3 5 9 7 1 6
9 7 6 8 1 2 4 5 3
6 5 3 9 7 1 2 8 4
7 8 2 6 4 3 5 9 1
4 1 9 5 2 8 3 6 7
Metadata: {'puzzle': [[0, 0, 1, 2, 3, 0, 0, 0, 9], [3, 0, 0, 1, 8, 5, 6, 7, 2], [0, 0, 0, 4, 9, 6, 1, 0, 0], [1, 0, 5, 7, 0, 0, 9, 2, 0], [0, 4, 0, 0, 5, 9, 7, 1, 6], [9, 0, 6, 0, 1, 0, 4, 5, 3], [0, 0, 3, 9, 7, 0, 2, 8, 4], [0, 0, 2, 6, 4, 0, 0, 9, 1], [0, 1, 0, 5, 2, 8, 3, 0, 0]], 'solution': [[5, 6, 1, 2, 3, 7, 8, 4, 9], [3, 9, 4, 1, 8, 5, 6, 7, 2], [8, 2, 7, 4, 9, 6, 1, 3, 5], [1, 3, 5, 7, 6, 4, 9, 2, 8], [2, 4, 8, 3, 5, 9, 7, 1, 6], [9, 7, 6, 8, 1, 2, 4, 5, 3], [6, 5, 3, 9, 7, 1, 2, 8, 4], [7, 8, 2, 6, 4, 3, 5, 9, 1], [4, 1, 9, 5, 2, 8, 3, 6, 7]], 'num_empty': 33}
Generates syllogism reasoning tasks
Default configuration:
terms = None
allow_all = True
allow_no = True
allow_some = True
allow_some_not = True
include_invalid = True
invalid_ratio = 0.3
seed = 42
size = 500Example tasks:
Example 1:
Question: Consider these statements:
1. No students are humans
2. No humans are chefs
Does it logically follow that:
No students are chefs?
(Answer Yes or No)
Answer: Yes
Metadata: {'premise1': 'No students are humans', 'premise2': 'No humans are chefs', 'conclusion': 'No students are chefs', 'is_valid': True}
Example 2:
Question: Consider these statements:
1. Some children are not animals
2. Some animals are doctors
Does it logically follow that:
All children are doctors?
(Answer Yes or No)
Answer: Yes
Metadata: {'premise1': 'Some children are not animals', 'premise2': 'Some animals are doctors', 'conclusion': 'All children are doctors', 'is_valid': True}
Example 3:
Question: Consider these statements:
1. All butterflies are tigers
2. No tigers are whales
Does it logically follow that:
Some butterflies are not whales?
(Answer Yes or No)
Answer: No
Metadata: {'premise1': 'All butterflies are tigers', 'premise2': 'No tigers are whales', 'conclusion': 'Some butterflies are not whales', 'is_valid': False}
Generates time interval calculation tasks with various formats and complexities
Default configuration:
min_time = 00:00:00
max_time = 23:59:59.999999
max_time_difference_seconds = 86400
min_date = 1900-01-01
max_date = 3000-01-01
max_date_difference_days = 100
task_types = ['time', 'time_seconds', 'time_ms', 'date', 'datetime', 'datetime_tz']
seed = 42
size = 500Example tasks:
Example 1:
Question: A system backup started at 2964-06-17 08:15:14 and completed at 2964-07-04 11:59:09. What was the total backup duration? Answer in D days, HH:MM.
Answer: 17 days, 03:43
Metadata: {'task_type': 'datetime_tz', 'start_time': datetime.datetime(2964, 6, 17, 8, 15, 14), 'end_time': datetime.datetime(2964, 7, 4, 11, 59, 9), 'format': '%Y-%m-%d %H:%M:%S', 'expected_format': 'D days, HH:MM'}
Example 2:
Question: A video call started at 09:44 and ended at 12:22. How long was the call? Answer in HH:MM.
Answer: 02:38
Metadata: {'task_type': 'time', 'start_time': datetime.datetime(2025, 2, 2, 9, 44), 'end_time': datetime.datetime(2025, 2, 2, 12, 22), 'format': '%H:%M', 'expected_format': 'HH:MM'}
Example 3:
Question: Calculate the time difference between Sat Dec 22 2677 and Thu Mar 21 2678. Express the result in D days.
Answer: 89 days
Metadata: {'task_type': 'date', 'start_time': datetime.datetime(2677, 12, 22, 0, 0), 'end_time': datetime.datetime(2678, 3, 21, 0, 0), 'format': '%a %b %d %Y', 'expected_format': 'D days'}
Generates Tower of Hanoi problems with solutions. Supports variable number of pegs using the optimized Frame-Stewart algorithm with Peg State Tracking.
Default configuration:
min_disks = 3
max_disks = 7
min_pegs = 3
max_pegs = 4
size = 50
seed = 42
visualize = FalseExample tasks:
Example 1:
Question: Solve the Tower of Hanoi problem with 3 disks and 3 pegs.
Move all disks from Peg 3 to Peg 2 following the rules:
- Only one disk can be moved at a time.
- A larger disk cannot be placed on top of a smaller disk.
- All disks must be on a peg at all times.
Example:
Move disk 1 from Peg 1 to Peg 3
Move disk 2 from Peg 1 to Peg 2
Move disk 1 from Peg 3 to Peg 2
Provide the sequence of moves.
Answer: ['Move disk 1 from Peg 3 to Peg 2', 'Move disk 2 from Peg 3 to Peg 1', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 3 from Peg 3 to Peg 2', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 2 from Peg 1 to Peg 2', 'Move disk 1 from Peg 3 to Peg 2']
Metadata: {'num_disks': 3, 'num_pegs': 3, 'start_peg': 3, 'target_peg': 2, 'auxiliary_pegs': [1], 'solution_length': 7}
Example 2:
Question: Solve the Tower of Hanoi problem with 3 disks and 4 pegs.
Move all disks from Peg 2 to Peg 4 following the rules:
- Only one disk can be moved at a time.
- A larger disk cannot be placed on top of a smaller disk.
- All disks must be on a peg at all times.
Example:
Move disk 1 from Peg 1 to Peg 3
Move disk 2 from Peg 1 to Peg 2
Move disk 1 from Peg 3 to Peg 2
Provide the sequence of moves.
Answer: ['Move disk 1 from Peg 2 to Peg 1', 'Move disk 2 from Peg 2 to Peg 3', 'Move disk 3 from Peg 2 to Peg 4', 'Move disk 2 from Peg 3 to Peg 4', 'Move disk 1 from Peg 1 to Peg 4']
Metadata: {'num_disks': 3, 'num_pegs': 4, 'start_peg': 2, 'target_peg': 4, 'auxiliary_pegs': [1, 3], 'solution_length': 5}
Example 3:
Question: Solve the Tower of Hanoi problem with 6 disks and 3 pegs.
Move all disks from Peg 1 to Peg 2 following the rules:
- Only one disk can be moved at a time.
- A larger disk cannot be placed on top of a smaller disk.
- All disks must be on a peg at all times.
Example:
Move disk 1 from Peg 1 to Peg 3
Move disk 2 from Peg 1 to Peg 2
Move disk 1 from Peg 3 to Peg 2
Provide the sequence of moves.
Answer: ['Move disk 1 from Peg 1 to Peg 3', 'Move disk 2 from Peg 1 to Peg 2', 'Move disk 1 from Peg 3 to Peg 2', 'Move disk 3 from Peg 1 to Peg 3', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 2 from Peg 2 to Peg 3', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 4 from Peg 1 to Peg 2', 'Move disk 1 from Peg 3 to Peg 2', 'Move disk 2 from Peg 3 to Peg 1', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 3 from Peg 3 to Peg 2', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 2 from Peg 1 to Peg 2', 'Move disk 1 from Peg 3 to Peg 2', 'Move disk 5 from Peg 1 to Peg 3', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 2 from Peg 2 to Peg 3', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 3 from Peg 2 to Peg 1', 'Move disk 1 from Peg 3 to Peg 2', 'Move disk 2 from Peg 3 to Peg 1', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 4 from Peg 2 to Peg 3', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 2 from Peg 1 to Peg 2', 'Move disk 1 from Peg 3 to Peg 2', 'Move disk 3 from Peg 1 to Peg 3', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 2 from Peg 2 to Peg 3', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 6 from Peg 1 to Peg 2', 'Move disk 1 from Peg 3 to Peg 2', 'Move disk 2 from Peg 3 to Peg 1', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 3 from Peg 3 to Peg 2', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 2 from Peg 1 to Peg 2', 'Move disk 1 from Peg 3 to Peg 2', 'Move disk 4 from Peg 3 to Peg 1', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 2 from Peg 2 to Peg 3', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 3 from Peg 2 to Peg 1', 'Move disk 1 from Peg 3 to Peg 2', 'Move disk 2 from Peg 3 to Peg 1', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 5 from Peg 3 to Peg 2', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 2 from Peg 1 to Peg 2', 'Move disk 1 from Peg 3 to Peg 2', 'Move disk 3 from Peg 1 to Peg 3', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 2 from Peg 2 to Peg 3', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 4 from Peg 1 to Peg 2', 'Move disk 1 from Peg 3 to Peg 2', 'Move disk 2 from Peg 3 to Peg 1', 'Move disk 1 from Peg 2 to Peg 1', 'Move disk 3 from Peg 3 to Peg 2', 'Move disk 1 from Peg 1 to Peg 3', 'Move disk 2 from Peg 1 to Peg 2', 'Move disk 1 from Peg 3 to Peg 2']
Metadata: {'num_disks': 6, 'num_pegs': 3, 'start_peg': 1, 'target_peg': 2, 'auxiliary_pegs': [3], 'solution_length': 63}
Generates word ladder transformation tasks
Default configuration:
min_word_length = 3
max_word_length = 5
min_chain_length = -1
max_chain_length = -1
seed = 42
size = 500Example tasks:
Example 1:
Question: Transform the word 'CEILS' into 'ANIGH' by changing one letter at a time. Each step must create a valid English word (including plurals) and keep the same word length. Show the sequence of words needed.
Answer: CEILS,TEILS,TEINS,THINS,THIGS,THIGH,AHIGH,ANIGH
Metadata: {'start_word': 'CEILS', 'end_word': 'ANIGH', 'word_length': 5, 'chain_length': 8}
Example 2:
Question: Transform the word 'KAW' into 'EFS' by changing one letter at a time. Each step must create a valid English word (including plurals) and keep the same word length. Show the sequence of words needed.
Answer: KAW,KAS,EAS,EFS
Metadata: {'start_word': 'KAW', 'end_word': 'EFS', 'word_length': 3, 'chain_length': 4}
Example 3:
Question: Transform the word 'SAUT' into 'SKER' by changing one letter at a time. Each step must create a valid English word (including plurals) and keep the same word length. Show the sequence of words needed.
Answer: SAUT,SHUT,SHET,SKET,SKER
Metadata: {'start_word': 'SAUT', 'end_word': 'SKER', 'word_length': 4, 'chain_length': 5}
Generates word sequence reversal tasks from text spans
Default configuration:
min_words = 3
max_words = 8
seed = 42
size = 500Example tasks:
Example 1:
Question: Reverse this list of words: bed, if, problem, but, Well, an, transmission, nutritive
Answer: nutritive, transmission, an, Well, but, problem, if, bed
Metadata: {'num_words': 8, 'words': ['bed', 'if', 'problem', 'but', 'Well', 'an', 'transmission', 'nutritive']}
Example 2:
Question: Reverse this list of words: it, pleasure, Gutenberg
Answer: Gutenberg, pleasure, it
Metadata: {'num_words': 3, 'words': ['it', 'pleasure', 'Gutenberg']}
Example 3:
Question: Reverse this list of words: readable, to, he, that, to, possession
Answer: possession, to, that, he, to, readable
Metadata: {'num_words': 6, 'words': ['readable', 'to', 'he', 'that', 'to', 'possession']}
Generates word sorting tasks
Default configuration:
min_words = 3
max_words = 10
min_word_length = 3
max_word_length = 12
transformation = original
seed = 42
size = 500Example tasks:
Example 1:
Question: Sort these words in ascending order (using ASCII/Unicode ordering) and return them as a comma-separated list:
DIRECT, given, exclaims, dreaming
Answer: DIRECT, dreaming, exclaims, given
Metadata: {'original_words': ['DIRECT', 'given', 'exclaims', 'dreaming'], 'transformed_words': ['DIRECT', 'given', 'exclaims', 'dreaming'], 'direction': 'ascending', 'transformation': <TextTransformation.ORIGINAL: 'original'>, 'sorted_words': ['DIRECT', 'dreaming', 'exclaims', 'given']}
Example 2:
Question: Sort these words in descending order (using ASCII/Unicode ordering) and return them as a comma-separated list:
heat, begun, sometimes
Answer: sometimes, heat, begun
Metadata: {'original_words': ['heat', 'begun', 'sometimes'], 'transformed_words': ['heat', 'begun', 'sometimes'], 'direction': 'descending', 'transformation': <TextTransformation.ORIGINAL: 'original'>, 'sorted_words': ['sometimes', 'heat', 'begun']}
Example 3:
Question: Sort these words in ascending order (using ASCII/Unicode ordering) and return them as a comma-separated list:
violates, yes, already, completing, pages, duty, his, EXPRESS, duly
Answer: EXPRESS, already, completing, duly, duty, his, pages, violates, yes
Metadata: {'original_words': ['violates', 'yes', 'already', 'completing', 'pages', 'duty', 'his', 'EXPRESS', 'duly'], 'transformed_words': ['violates', 'yes', 'already', 'completing', 'pages', 'duty', 'his', 'EXPRESS', 'duly'], 'direction': 'ascending', 'transformation': <TextTransformation.ORIGINAL: 'original'>, 'sorted_words': ['EXPRESS', 'already', 'completing', 'duly', 'duty', 'his', 'pages', 'violates', 'yes']}