reasoning-core/rg1 · Datasets at Hugging Face

False

{"source_dataset": "game_of_life_halting", "source_index": 0, "grid_size_x": 12, "grid_size_y": 12, "placed_patterns": [{"name": "blinker", "position": [2, 7]}, {"name": "clock", "position": [7, 5]}], "simulation_steps": 20, "should_oscillate": true, "difficulty": {"grid_size_x": 12, "grid_size_y": 12, "difficulty": 1, "num_oscillators": 5, "max_simulation_steps": 20}, "task_name": "RG.game_of_life_halting", "_question": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 1 1 1 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 1 0 0 0 0]\n [0 0 0 0 0 1 0 1 0 0 0 0]\n [0 0 0 0 0 0 1 0 1 0 0 0]\n [0 0 0 0 0 0 1 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]]", "_time": 0.003463268280029297, "_task": "rg", "_level": 0}

This is a 'Game of Life' grid. We consider a game halted if there are no cells alive. Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'. Initial board: [[0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 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 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 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 0 0] [0 0 0 0 0 1 0 1 0 0 0 0] [0 0 0 0 0 0 1 0 1 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 0]]

rg

98

{"source_dataset": "leg_counting", "source_index": 0, "animals": {"duck": 5, "spider": 5, "lion": 12}, "num_animals": 3, "total_legs": 98, "difficulty": {"num_animals": [3, 10], "num_instances": [1, 15]}, "task_name": "RG.leg_counting", "_question": "Your task is to count how many legs there are in total when given a list of animals.\n\nNow, how many legs are there in total if you have 5 ducks, 5 spiders, 12 lions?\n", "_time": 0.00011134147644042969, "_task": "rg", "_level": 0}

Your task is to count how many legs there are in total when given a list of animals. Now, how many legs are there in total if you have 5 ducks, 5 spiders, 12 lions?

rg

UNLESS A COPYRIGHT NOTICE IS INCLUDED

{"source_dataset": "caesar_cipher", "source_index": 0, "rotation": 22, "cipher_text": "QJHAOO W YKLUNECDP JKPEYA EO EJYHQZAZ", "clear_text": "UNLESS A COPYRIGHT NOTICE IS INCLUDED", "num_words": 6, "difficulty": {"words": [3, 20], "rotation": [1, 25]}, "task_name": "RG.caesar_cipher", "_question": "Decrypt this Caesar cipher text: QJHAOO W YKLUNECDP JKPEYA EO EJYHQZAZ. Provide only the decrypted text as your final answer.", "_time": 0.0017573833465576172, "_task": "rg", "_level": 0}

Decrypt this Caesar cipher text: QJHAOO W YKLUNECDP JKPEYA EO EJYHQZAZ. Provide only the decrypted text as your final answer.

rg

"Sir, I I am a chemist," he began, "and as such come to you.

{"source_dataset": "sentence_reordering", "source_index": 0, "word_count": 14, "difficulty": {"words_in_sentence": [3, 20]}, "task_name": "RG.sentence_reordering", "_question": "Restore the correct order of words in the following sentence: come I as such \"and he to chemist,\" you. \"Sir, a am I began,", "_time": 0.002652883529663086, "_task": "rg", "_level": 0}

Restore the correct order of words in the following sentence: come I as such "and he to chemist," you. "Sir, a am I began,

rg

-10*X**10 + 5*X**2 + C

{"source_dataset": "simple_integration", "source_index": 0, "integrand": "-100*X**9 + 10*X", "variable": "X", "num_terms": 2, "difficulty": {"terms": [2, 5]}, "task_name": "RG.simple_integration", "_question": "Calculate the antiderivative: \u222b -100*X**9 + 10*X dx\nWhen performing calculations, please follow these guidelines:\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n", "_time": 0.002024412155151367, "_task": "rg", "_level": 0}

Calculate the antiderivative: ∫ -100*X**9 + 10*X dx When performing calculations, please follow these guidelines: 1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2. 2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

rg

arnold

{"source_dataset": "zebra_puzzles", "source_index": 0, "difficulty": {"num_people": 4, "num_characteristics": 4}, "task_name": "RG.zebra_puzzles", "_question": "This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:\n - Each person has a unique name: carol, bob, arnold, alice\n - They all have a different favorite flower: iris, daffodils, lilies, carnations\n - People use different phone models: oneplus 9, samsung galaxy s21, google pixel 6, huawei p50\n - Everyone has something different for lunch: pizza, stir fry, soup, grilled cheese\n\n1. The person who uses a Huawei P50 is in the first house.\n2. The person who is a pizza lover is Carol.\n3. The person who loves a bouquet of daffodils is the person who loves eating grilled cheese.\n4. The person who loves the boquet of lilies is the person who uses a Samsung Galaxy S21.\n5. The person who uses a Huawei P50 is the person who loves a carnations arrangement.\n6. The person who uses a OnePlus 9 is in the fourth house.\n7. The person who loves eating grilled cheese is Bob.\n8. Alice is in the second house.\n9. The person who loves a carnations arrangement is directly left of the person who loves stir fry.\n10. The person who is a pizza lover is the person who uses a OnePlus 9.\n\nWhat is Name of the person who lives in House 1?? Provide only the name of the person as your final answer.", "_time": 0.06943798065185547, "_task": "rg", "_level": 0}

This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics: - Each person has a unique name: carol, bob, arnold, alice - They all have a different favorite flower: iris, daffodils, lilies, carnations - People use different phone models: oneplus 9, samsung galaxy s21, google pixel 6, huawei p50 - Everyone has something different for lunch: pizza, stir fry, soup, grilled cheese 1. The person who uses a Huawei P50 is in the first house. 2. The person who is a pizza lover is Carol. 3. The person who loves a bouquet of daffodils is the person who loves eating grilled cheese. 4. The person who loves the boquet of lilies is the person who uses a Samsung Galaxy S21. 5. The person who uses a Huawei P50 is the person who loves a carnations arrangement. 6. The person who uses a OnePlus 9 is in the fourth house. 7. The person who loves eating grilled cheese is Bob. 8. Alice is in the second house. 9. The person who loves a carnations arrangement is directly left of the person who loves stir fry. 10. The person who is a pizza lover is the person who uses a OnePlus 9. What is Name of the person who lives in House 1?? Provide only the name of the person as your final answer.

rg

4 1 2 7 3 1 0 4 2 8 0 5 1 6 8 0 1 7 4 2 4 8 6 4 3 1 3 1 2 7 7 8 3 4 0 1 9 9 7 6 3 5 9 8 8 1 4 6 4 8 8 2 8 5 1 2 3 8 9 5 3 0 2 2

{"source_dataset": "rotate_matrix", "source_index": 0, "matrix": [[4, 1, 2, 7, 3, 1, 0, 4], [2, 8, 0, 5, 1, 6, 8, 0], [1, 7, 4, 2, 4, 8, 6, 4], [3, 1, 3, 1, 2, 7, 7, 8], [3, 4, 0, 1, 9, 9, 7, 6], [3, 5, 9, 8, 8, 1, 4, 6], [4, 8, 8, 2, 8, 5, 1, 2], [3, 8, 9, 5, 3, 0, 2, 2]], "num_rotations": 4, "solution": [[4, 1, 2, 7, 3, 1, 0, 4], [2, 8, 0, 5, 1, 6, 8, 0], [1, 7, 4, 2, 4, 8, 6, 4], [3, 1, 3, 1, 2, 7, 7, 8], [3, 4, 0, 1, 9, 9, 7, 6], [3, 5, 9, 8, 8, 1, 4, 6], [4, 8, 8, 2, 8, 5, 1, 2], [3, 8, 9, 5, 3, 0, 2, 2]], "n": 8, "difficulty": {"n": [2, 10], "num_rotations": [0, 10]}, "task_name": "RG.rotate_matrix", "_question": "Given a square matrix, your job is to rotate it clockwise.\n\nYour output should be a matrix in the same format as the input.\n\nRotate the matrix below by 360 degrees clockwise:\n4 1 2 7 3 1 0 4\n2 8 0 5 1 6 8 0\n1 7 4 2 4 8 6 4\n3 1 3 1 2 7 7 8\n3 4 0 1 9 9 7 6\n3 5 9 8 8 1 4 6\n4 8 8 2 8 5 1 2\n3 8 9 5 3 0 2 2\n", "_time": 0.00018477439880371094, "_task": "rg", "_level": 0}

Given a square matrix, your job is to rotate it clockwise. Your output should be a matrix in the same format as the input. Rotate the matrix below by 360 degrees clockwise: 4 1 2 7 3 1 0 4 2 8 0 5 1 6 8 0 1 7 4 2 4 8 6 4 3 1 3 1 2 7 7 8 3 4 0 1 9 9 7 6 3 5 9 8 8 1 4 6 4 8 8 2 8 5 1 2 3 8 9 5 3 0 2 2

rg

None

{"source_dataset": "graph_color", "source_index": 0, "possible_answer": {"0": 1, "1": 2, "2": 1, "3": 2, "4": 1, "5": 1, "6": 1, "7": 1, "8": 3, "9": 1}, "puzzle": {"vertices": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "edges": [[0, 1], [1, 8], [2, 3], [5, 8], [6, 8]], "num_colors": 3, "color_options": [1, 2, 3]}, "num_vertices": 10, "difficulty": {"num_vertices": [10, 10], "num_colors": 3}, "task_name": "RG.graph_color", "_question": "Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties:\n\nVertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\nEdges: [(0, 1), (1, 8), (2, 3), (5, 8), (6, 8)]\nPossible colors: [1, 2, 3]\n\nReturn your solution as a JSON map of vertices to colors. (For example: {\"0\": 1, \"1\": 2, \"2\": 3}.)\n", "_time": 0.0001544952392578125, "_task": "rg", "_level": 0}

Please provide a coloring for this graph such that every vertex is not connected to a vertex of the same color. The graph has these properties: Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] Edges: [(0, 1), (1, 8), (2, 3), (5, 8), (6, 8)] Possible colors: [1, 2, 3] Return your solution as a JSON map of vertices to colors. (For example: {"0": 1, "1": 2, "2": 3}.)

rg

[[0,0,0,1,1,0,0,0,0,0],[0,0,0,1,1,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,1,0,0,0,0]]

{"source_dataset": "game_of_life", "source_index": 0, "grid_size_x": 10, "grid_size_y": 10, "filled_cells": 10, "simulation_steps": 1, "difficulty": {"grid_size_x": 10, "grid_size_y": 10, "filled_cells_weights": 0.1, "simulation_steps": 1}, "task_name": "RG.game_of_life", "_question": "What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]])\n\n[[0,0,0,0,1,0,1,0,0,0],\n [0,0,0,0,1,0,0,0,0,0],\n [0,0,0,1,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,1,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,1,0,0,0],\n [1,0,0,0,0,0,0,0,1,0],\n [0,0,0,0,1,0,0,0,0,0]].", "_time": 0.00664067268371582, "_task": "rg", "_level": 0}

What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) [[0,0,0,0,1,0,1,0,0,0], [0,0,0,0,1,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0], [1,0,0,0,0,0,0,0,1,0], [0,0,0,0,1,0,0,0,0,0]].

rg

0 0 0 0 0 0 0 0 7 5 2 9 1

{"source_dataset": "arc_1d", "source_index": 0, "task_name": "RG.arc_1d", "size": 13, "train_examples": [{"input": [4, 0, 0, 0, 0, 0, 5, 0, 8, 0, 6, 8, 0], "output": [0, 0, 0, 0, 0, 0, 0, 0, 4, 5, 8, 6, 8]}, {"input": [2, 0, 0, 6, 0, 1, 5, 3, 9, 6, 0, 5, 0], "output": [0, 0, 0, 0, 0, 2, 6, 1, 5, 3, 9, 6, 5]}, {"input": [0, 0, 6, 0, 6, 2, 0, 0, 7, 6, 0, 0, 8], "output": [0, 0, 0, 0, 0, 0, 0, 6, 6, 2, 7, 6, 8]}], "test_example": {"input": [7, 0, 0, 0, 0, 0, 5, 2, 9, 0, 0, 1, 0], "output": [0, 0, 0, 0, 0, 0, 0, 0, 7, 5, 2, 9, 1]}, "difficulty": {"size": [10, 30]}, "_question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\nInput: 4 0 0 0 0 0 5 0 8 0 6 8 0\nOutput: 0 0 0 0 0 0 0 0 4 5 8 6 8\n\nExample 2:\nInput: 2 0 0 6 0 1 5 3 9 6 0 5 0\nOutput: 0 0 0 0 0 2 6 1 5 3 9 6 5\n\nExample 3:\nInput: 0 0 6 0 6 2 0 0 7 6 0 0 8\nOutput: 0 0 0 0 0 0 0 6 6 2 7 6 8\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found. Describe how you derived the rule and your overall reasoning process in detail before you submit your answer. Your final answer should be just the test output grid itself.\n\nInput:\n7 0 0 0 0 0 5 2 9 0 0 1 0", "_time": 0.00018477439880371094, "_task": "rg", "_level": 0}

Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 0 0 0 0 0 5 0 8 0 6 8 0 Output: 0 0 0 0 0 0 0 0 4 5 8 6 8 Example 2: Input: 2 0 0 6 0 1 5 3 9 6 0 5 0 Output: 0 0 0 0 0 2 6 1 5 3 9 6 5 Example 3: Input: 0 0 6 0 6 2 0 0 7 6 0 0 8 Output: 0 0 0 0 0 0 0 6 6 2 7 6 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. Describe how you derived the rule and your overall reasoning process in detail before you submit your answer. Your final answer should be just the test output grid itself. Input: 7 0 0 0 0 0 5 2 9 0 0 1 0

rg

False

{"source_dataset": "course_schedule", "source_index": 0, "courses": [4, 1, 2, 3, 5, 0], "prerequisites": [[0, 1], [0, 3], [4, 2], [2, 0], [3, 4], [1, 4], [2, 4], [0, 4], [3, 2], [5, 2]], "solution": false, "solvable": false, "difficulty": {"num_courses": [5, 10], "num_prerequisites": [1, 2], "cycle_length": [3, 5]}, "task_name": "RG.course_schedule", "_question": "There are a total of 6 courses you have to take, labeled from 0 to 5.\n\nYou are given the following list of prerequisites, where prerequisites[i] = (a_i, b_i) indicates that you must first take course b_i if you want to take course a_i:\n[(0, 1), (0, 3), (4, 2), (2, 0), (3, 4), (1, 4), (2, 4), (0, 4), (3, 2), (5, 2)]\n\nReturn True if you can finish all courses considering the prerequisites, or False otherwise.\n", "_time": 0.00013399124145507812, "_task": "rg", "_level": 0}

There are a total of 6 courses you have to take, labeled from 0 to 5. You are given the following list of prerequisites, where prerequisites[i] = (a_i, b_i) indicates that you must first take course b_i if you want to take course a_i: [(0, 1), (0, 3), (4, 2), (2, 0), (3, 4), (1, 4), (2, 4), (0, 4), (3, 2), (5, 2)] Return True if you can finish all courses considering the prerequisites, or False otherwise.

rg

F=0,J=7,K=2,M=1,O=6,P=5,Q=4,S=3,U=8

{"source_dataset": "cryptarithm", "source_index": 0, "letters": ["M", "U", "S", "Q", "F", "J", "P", "K", "O"], "word_values": [16850, 3042, 42853], "sum_number": 62745, "words_letters": ["MOUPF", "SFQK", "QKUPS"], "result_letters": "OKJQP", "digit_to_letter": {"1": "M", "8": "U", "3": "S", "4": "Q", "0": "F", "7": "J", "5": "P", "2": "K", "6": "O"}, "letter_to_digit": {"M": 1, "U": 8, "S": 3, "Q": 4, "F": 0, "J": 7, "P": 5, "K": 2, "O": 6}, "difficulty": {"words": [2, 3]}, "task_name": "RG.cryptarithm", "_question": "Solve this cryptarithm:\n\n MOUPF\n SFQK\n+ QKUPS\n-------\n OKJQP\n\nEach letter stands for a unique digit (0-9). No leading letter can be zero.\nProvide a comma separated mapping from letters to digits that satisfies the equation in your final answer. Output format: \"A=1,B=2,C=3\" (without quotes)\n", "_time": 0.0001804828643798828, "_task": "rg", "_level": 0}

Solve this cryptarithm: MOUPF SFQK + QKUPS ------- OKJQP Each letter stands for a unique digit (0-9). No leading letter can be zero. Provide a comma separated mapping from letters to digits that satisfies the equation in your final answer. Output format: "A=1,B=2,C=3" (without quotes)

rg

5

{"source_dataset": "prime_factorization", "source_index": 0, "number": 5, "factors": [5], "difficulty": {"value": [2, 1000]}, "task_name": "RG.prime_factorization", "_question": "Find the prime factorization of 5. Write the factors separated by \u00d7 (Example: for 12 the answer would be: 2 \u00d7 2 \u00d7 3)", "_time": 8.535385131835938e-05, "_task": "rg", "_level": 0}

Find the prime factorization of 5. Write the factors separated by × (Example: for 12 the answer would be: 2 × 2 × 3)

rg

30

{"task": "count_business_days", "start_date": "2022-02-06", "end_date": "2022-03-20", "source_dataset": "calendar_arithmetic", "source_index": 0, "difficulty": {"tasks": ["weekday_offset", "weekday_of_date", "weekday_of_date_from_first_date", "recurring_event_day", "count_days", "count_business_days", "is_leap_year"], "offset_upper_bound": 100}, "task_name": "RG.calendar_arithmetic", "_question": "Count the weekdays (excluding weekends) from Sunday, February 6 to Sunday, March 20, 2022 (including both start and end dates). State the amount as a number.", "_time": 0.00016164779663085938, "_task": "rg", "_level": 0}

Count the weekdays (excluding weekends) from Sunday, February 6 to Sunday, March 20, 2022 (including both start and end dates). State the amount as a number.

rg

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

{"source_dataset": "tower_of_hanoi", "source_index": 0, "num_disks": 4, "num_pegs": 3, "start_peg": 2, "target_peg": 3, "auxiliary_pegs": [1], "solution_length": 15, "difficulty": {"num_disks": [3, 7], "num_pegs": [3, 4]}, "task_name": "RG.tower_of_hanoi", "_question": "Solve the Tower of Hanoi problem with 4 disks and 3 pegs.\nMove all disks from Peg 2 to Peg 3 following the rules:\n- Only one disk can be moved at a time.\n- A larger disk cannot be placed on top of a smaller disk.\n- All disks must be on a peg at all times.\n\nProvide the sequence of moves.\n\nFormatting guidelines:\n- Each instruction should be placed on a single line.\n- Each line should be formatted as 'Move disk X from Peg Y to Peg Z'\n- Do not include any other text or formatting.\n", "_time": 0.00012040138244628906, "_task": "rg", "_level": 0}

Solve the Tower of Hanoi problem with 4 disks and 3 pegs. Move all disks from Peg 2 to Peg 3 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. Provide the sequence of moves. Formatting guidelines: - Each instruction should be placed on a single line. - Each line should be formatted as 'Move disk X from Peg Y to Peg Z' - Do not include any other text or formatting.

rg

Pass

{"source_dataset": "mahjong_puzzle", "source_index": 0, "rounds": [{"add": "P", "remove": "T", "cards": "JNZVKPQXBDFCP", "result": "Pass"}, {"add": "N", "remove": "Q", "cards": "JNZVKPXBDFCPN", "result": "Pass"}, {"add": "F", "remove": "N", "cards": "JZVKPXBDFCPNF", "result": "Pass"}, {"add": "F", "remove": "P", "cards": "JZVKXBDFCPNFF", "result": "Peng"}, {"add": "X", "remove": "F", "cards": "JZVKXBDCPNFFX", "result": "Pass"}, {"add": "I", "remove": "N", "cards": "JZVKXBDCPFFXI", "result": "Chi"}, {"add": "A", "remove": "D", "cards": "JZVKXBCPFFXIA", "result": "Chi"}, {"add": "C", "remove": "A", "cards": "JZVKXBCPFFXIC", "result": "Chi"}, {"add": "W", "remove": "F", "cards": "JZVKXBCPFXICW", "result": "Pass"}, {"add": "V", "remove": "Z", "cards": "JVKXBCPFXICWV", "result": "Pass"}, {"add": "C", "remove": "P", "cards": "JVKXBCFXICWVC", "result": "Peng"}, {"add": "C", "remove": "X", "cards": "JVKBCFXICWVCC", "result": "Pass"}, {"add": "C", "remove": "X", "cards": "JVKBCFICWVCCC", "result": "Pass"}, {"add": "C", "remove": "C", "cards": "JVKBFICWVCCCC", "result": "Pass"}, {"add": "T", "remove": "V", "cards": "JKBFICWVCCCCT", "result": "Pass"}, {"add": "C", "remove": "C", "cards": "JKBFIWVCCCCTC", "result": "Peng"}, {"add": "A", "remove": "T", "cards": "JKBFIWVCCCCCA", "result": "Chi"}, {"add": "U", "remove": "C", "cards": "JKBFIWVCCCCAU", "result": "Chi"}, {"add": "U", "remove": "C", "cards": "JKBFIWVCCCAUU", "result": "Chi"}, {"add": "P", "remove": "U", "cards": "JKBFIWVCCCAUP", "result": "Pass"}, {"add": "H", "remove": "C", "cards": "JKBFIWVCCAUPH", "result": "Pass"}, {"add": "C", "remove": "K", "cards": "JBFIWVCCAUPHC", "result": "Peng"}, {"add": "C", "remove": "J", "cards": "BFIWVCCAUPHCC", "result": "Peng"}, {"add": "M", "remove": "C", "cards": "BFIWVCAUPHCCM", "result": "Pass"}, {"add": "U", "remove": "C", "cards": "BFIWVAUPHCCMU", "result": "Chi"}, {"add": "C", "remove": "U", "cards": "BFIWVAPHCCMUC", "result": "Peng"}, {"add": "C", "remove": "V", "cards": "BFIWAPHCCMUCC", "result": "Peng"}, {"add": "C", "remove": "B", "cards": "FIWAPHCCMUCCC", "result": "Peng"}, {"add": "J", "remove": "C", "cards": "FIWAPHCMUCCCJ", "result": "Chi"}, {"add": "J", "remove": "W", "cards": "FIAPHCMUCCCJJ", "result": "Chi"}, {"add": "J", "remove": "I", "cards": "FAPHCMUCCCJJJ", "result": "Pass"}, {"add": "C", "remove": "P", "cards": "FAHCMUCCCJJJC", "result": "Peng"}, {"add": "J", "remove": "F", "cards": "AHCMUCCCJJJCJ", "result": "Peng"}, {"add": "B", "remove": "J", "cards": "AHCMUCCCJJCJB", "result": "Pass"}, {"add": "J", "remove": "U", "cards": "AHCMCCCJJCJBJ", "result": "Peng"}, {"add": "W", "remove": "A", "cards": "HCMCCCJJCJBJW", "result": "Pass"}, {"add": "R", "remove": "B", "cards": "HCMCCCJJCJJWR", "result": "Pass"}, {"add": "J", "remove": "J", "cards": "HCMCCCJCJJWRJ", "result": "Peng"}, {"add": "U", "remove": "J", "cards": "HCMCCCCJJWRJU", "result": "Pass"}, {"add": "C", "remove": "J", "cards": "HCMCCCCJWRJUC", "result": "Peng"}, {"add": "N", "remove": "H", "cards": "CMCCCCJWRJUCN", "result": "Pass"}, {"add": "C", "remove": "J", "cards": "CMCCCCWRJUCNC", "result": "Pass"}, {"add": "C", "remove": "C", "cards": "MCCCCWRJUCNCC", "result": "Peng"}, {"add": "O", "remove": "C", "cards": "MCCCWRJUCNCCO", "result": "Chi"}, {"add": "C", "remove": "O", "cards": "MCCCWRJUCNCCC", "result": "Peng"}, {"add": "L", "remove": "R", "cards": "MCCCWJUCNCCCL", "result": "Chi"}, {"add": "G", "remove": "C", "cards": "MCCWJUCNCCCLG", "result": "Pass"}, {"add": "K", "remove": "J", "cards": "MCCWUCNCCCLGK", "result": "Pass"}], "solution": "Pass", "difficulty": {"num_rounds": [10, 50]}, "task_name": "RG.mahjong_puzzle", "_question": "There are several letter cards, and the game rules are as follows:\n1. Initially, there are 13 cards.\n2. Each time, a new card is added, and a result is determined. Then, one card is removed.\n3. When there are two identical cards in hand, and the newly added card is the same as these two cards, the result is determined as \"Peng\".\n4. If there are two cards in hand such that the new card can form a consecutive letter sequence with these two cards, the result is determined as \"Chi\". For example: ABC, BCD, CDE, etc.\n5. If the new card does not meet the conditions of 3 and 4, the result is determined as \"Pass\".\n6. \"Peng\" takes precedence over \"Chi\".\n7. The card that is removed does not affect the result determination of the current round.\n\nYour output should be one of the following: \"Peng\", \"Chi\", or \"Pass\" (without quotes).\n\nNow, given the initial cards JNZVKTPQXBDFC, what is the result at the end of performing the following rounds of operations:\nRound 1: Add a P card and remove a T card.\nRound 2: Add a N card and remove a Q card.\nRound 3: Add a F card and remove a N card.\nRound 4: Add a F card and remove a P card.\nRound 5: Add a X card and remove a F card.\nRound 6: Add an I card and remove a N card.\nRound 7: Add an A card and remove a D card.\nRound 8: Add a C card and remove an A card.\nRound 9: Add a W card and remove a F card.\nRound 10: Add a V card and remove a Z card.\nRound 11: Add a C card and remove a P card.\nRound 12: Add a C card and remove a X card.\nRound 13: Add a C card and remove a X card.\nRound 14: Add a C card and remove a C card.\nRound 15: Add a T card and remove a V card.\nRound 16: Add a C card and remove a C card.\nRound 17: Add an A card and remove a T card.\nRound 18: Add an U card and remove a C card.\nRound 19: Add an U card and remove a C card.\nRound 20: Add a P card and remove an U card.\nRound 21: Add a H card and remove a C card.\nRound 22: Add a C card and remove a K card.\nRound 23: Add a C card and remove a J card.\nRound 24: Add a M card and remove a C card.\nRound 25: Add an U card and remove a C card.\nRound 26: Add a C card and remove an U card.\nRound 27: Add a C card and remove a V card.\nRound 28: Add a C card and remove a B card.\nRound 29: Add a J card and remove a C card.\nRound 30: Add a J card and remove a W card.\nRound 31: Add a J card and remove an I card.\nRound 32: Add a C card and remove a P card.\nRound 33: Add a J card and remove a F card.\nRound 34: Add a B card and remove a J card.\nRound 35: Add a J card and remove an U card.\nRound 36: Add a W card and remove an A card.\nRound 37: Add a R card and remove a B card.\nRound 38: Add a J card and remove a J card.\nRound 39: Add an U card and remove a J card.\nRound 40: Add a C card and remove a J card.\nRound 41: Add a N card and remove a H card.\nRound 42: Add a C card and remove a J card.\nRound 43: Add a C card and remove a C card.\nRound 44: Add an O card and remove a C card.\nRound 45: Add a C card and remove an O card.\nRound 46: Add a L card and remove a R card.\nRound 47: Add a G card and remove a C card.\nRound 48: Add a K card and remove a J card.\n", "_time": 0.0013282299041748047, "_task": "rg", "_level": 0}

There are several letter cards, and the game rules are as follows: 1. Initially, there are 13 cards. 2. Each time, a new card is added, and a result is determined. Then, one card is removed. 3. When there are two identical cards in hand, and the newly added card is the same as these two cards, the result is determined as "Peng". 4. If there are two cards in hand such that the new card can form a consecutive letter sequence with these two cards, the result is determined as "Chi". For example: ABC, BCD, CDE, etc. 5. If the new card does not meet the conditions of 3 and 4, the result is determined as "Pass". 6. "Peng" takes precedence over "Chi". 7. The card that is removed does not affect the result determination of the current round. Your output should be one of the following: "Peng", "Chi", or "Pass" (without quotes). Now, given the initial cards JNZVKTPQXBDFC, what is the result at the end of performing the following rounds of operations: Round 1: Add a P card and remove a T card. Round 2: Add a N card and remove a Q card. Round 3: Add a F card and remove a N card. Round 4: Add a F card and remove a P card. Round 5: Add a X card and remove a F card. Round 6: Add an I card and remove a N card. Round 7: Add an A card and remove a D card. Round 8: Add a C card and remove an A card. Round 9: Add a W card and remove a F card. Round 10: Add a V card and remove a Z card. Round 11: Add a C card and remove a P card. Round 12: Add a C card and remove a X card. Round 13: Add a C card and remove a X card. Round 14: Add a C card and remove a C card. Round 15: Add a T card and remove a V card. Round 16: Add a C card and remove a C card. Round 17: Add an A card and remove a T card. Round 18: Add an U card and remove a C card. Round 19: Add an U card and remove a C card. Round 20: Add a P card and remove an U card. Round 21: Add a H card and remove a C card. Round 22: Add a C card and remove a K card. Round 23: Add a C card and remove a J card. Round 24: Add a M card and remove a C card. Round 25: Add an U card and remove a C card. Round 26: Add a C card and remove an U card. Round 27: Add a C card and remove a V card. Round 28: Add a C card and remove a B card. Round 29: Add a J card and remove a C card. Round 30: Add a J card and remove a W card. Round 31: Add a J card and remove an I card. Round 32: Add a C card and remove a P card. Round 33: Add a J card and remove a F card. Round 34: Add a B card and remove a J card. Round 35: Add a J card and remove an U card. Round 36: Add a W card and remove an A card. Round 37: Add a R card and remove a B card. Round 38: Add a J card and remove a J card. Round 39: Add an U card and remove a J card. Round 40: Add a C card and remove a J card. Round 41: Add a N card and remove a H card. Round 42: Add a C card and remove a J card. Round 43: Add a C card and remove a C card. Round 44: Add an O card and remove a C card. Round 45: Add a C card and remove an O card. Round 46: Add a L card and remove a R card. Round 47: Add a G card and remove a C card. Round 48: Add a K card and remove a J card.

rg

98

{"source_dataset": "simple_equations", "source_index": 0, "equation": "77 - 5*e = -413", "variable": "e", "difficulty": {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "operators_weights": [0.4, 0.4, 0.2]}, "task_name": "RG.simple_equations", "_question": "Determine the value of e that satisfies: 77 - 5*e = -413", "_time": 0.0005629062652587891, "_task": "rg", "_level": 0}

Determine the value of e that satisfies: 77 - 5*e = -413

rg

or, Jules, forehead

{"source_dataset": "word_sequence_reversal", "source_index": 0, "num_words": 3, "words": ["forehead", "Jules", "or"], "difficulty": {"words": [3, 8]}, "task_name": "RG.word_sequence_reversal", "_question": "Solve the following problem.\n\nProvide you answer as a comma-separated list of words with a space after the comma.\n\nReverse this list of words: forehead, Jules, or\n", "_time": 0.00223541259765625, "_task": "rg", "_level": 0}

Solve the following problem. Provide you answer as a comma-separated list of words with a space after the comma. Reverse this list of words: forehead, Jules, or

rg

8 8 9 9 8 6

{"source_dataset": "pool_matrix", "source_index": 0, "matrix": [[4, 8, 8, 8], [1, 4, 8, 2], [9, 2, 2, 5], [0, 5, 4, 9], [6, 1, 6, 1], [8, 3, 0, 6]], "pool_type": "max", "pool_size": 2, "solution": [[8, 8], [9, 9], [8, 6]], "rows": 6, "cols": 4, "difficulty": {"rows": [2, 10], "cols": [2, 10], "pool_size": [1, 3]}, "task_name": "RG.pool_matrix", "_question": "Your job is to perform max/average pooling on the given matrix.\nThe stride is equal to the kernel size, meaning there is no overlap between the pooling regions.\n\nYour output should be a matrix in the same format as the input matrix.\nThe output matrix is smaller than the input matrix when the kernel size is greater than 1, and its elements may be floating-point numbers.\nGive elements in the output matrix correct to 2 decimal places.\n\nPerform max pooling on the following matrix with a kernel size of 2:\n4 8 8 8\n1 4 8 2\n9 2 2 5\n0 5 4 9\n6 1 6 1\n8 3 0 6\n", "_time": 0.0002472400665283203, "_task": "rg", "_level": 0}

Your job is to perform max/average pooling on the given matrix. The stride is equal to the kernel size, meaning there is no overlap between the pooling regions. Your output should be a matrix in the same format as the input matrix. The output matrix is smaller than the input matrix when the kernel size is greater than 1, and its elements may be floating-point numbers. Give elements in the output matrix correct to 2 decimal places. Perform max pooling on the following matrix with a kernel size of 2: 4 8 8 8 1 4 8 2 9 2 2 5 0 5 4 9 6 1 6 1 8 3 0 6

rg

undetermined

{"source_dataset": "acre", "source_index": 0, "task_name": "RG.acre", "_question": "You are a researcher studying causal relationships using Blicket experiments. In these experiments, certain objects (called 'blickets') have the hidden property of activating a detector, causing its light to turn on.\n\nEach example shows the results of placing different combinations of objects on the detector. Each object is described by color, material and shape. Your task is to determine whether a new combination of objects will cause the detector to activate.\n\nAfter observing the previous examples, respond with:\n- \"on\" if you can determine the detector light will turn on\n- \"off\" if you can determine the detector light will stay off\n- \"undetermined\" if there is insufficient evidence to reach a conclusion\n\nDo not use quotation marks in your answer.\n\nPrevious experimental results:\nred metal cylinder \u2192 on\nred metal cylinder, gray metal cylinder \u2192 on\ngray metal cylinder \u2192 off\nyellow metal cube, purple metal sphere \u2192 off\ngray metal cube, brown metal cylinder, yellow metal cube, purple metal sphere \u2192 on\nyellow metal cube, purple metal sphere \u2192 off\n\nNew test case:\nbrown metal cylinder\n\nWhat is the detector light status?", "_time": 0.00020623207092285156, "_task": "rg", "_level": 0}

You are a researcher studying causal relationships using Blicket experiments. In these experiments, certain objects (called 'blickets') have the hidden property of activating a detector, causing its light to turn on. Each example shows the results of placing different combinations of objects on the detector. Each object is described by color, material and shape. Your task is to determine whether a new combination of objects will cause the detector to activate. After observing the previous examples, respond with: - "on" if you can determine the detector light will turn on - "off" if you can determine the detector light will stay off - "undetermined" if there is insufficient evidence to reach a conclusion Do not use quotation marks in your answer. Previous experimental results: red metal cylinder → on red metal cylinder, gray metal cylinder → on gray metal cylinder → off yellow metal cube, purple metal sphere → off gray metal cube, brown metal cylinder, yellow metal cube, purple metal sphere → on yellow metal cube, purple metal sphere → off New test case: brown metal cylinder What is the detector light status?

rg

32

{"source_dataset": "gcd", "source_index": 0, "numbers": [576, 800], "result": 32, "num_terms": 2, "difficulty": {"num_terms": [2, 2], "value": [1, 1000]}, "task_name": "RG.gcd", "_question": "Find the Greatest Common Divisor (GCD) of these numbers: 576, 800. Give only the GCD as your final answer.", "_time": 9.441375732421875e-05, "_task": "rg", "_level": 0}

Find the Greatest Common Divisor (GCD) of these numbers: 576, 800. Give only the GCD as your final answer.

rg

x**7 - 10*x**3 + 7*x**2/5 + C

{"source_dataset": "simple_integration", "source_index": 0, "integrand": "7*x**6 - 30*x**2 + 14*x/5", "variable": "x", "num_terms": 3, "difficulty": {"terms": [2, 5]}, "task_name": "RG.simple_integration", "_question": "Evaluate the indefinite integral: \u222b 7*x**6 - 30*x**2 + 14*x/5 dx\nWhen performing calculations, please follow these guidelines:\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n", "_time": 0.0040929317474365234, "_task": "rg", "_level": 0}

Evaluate the indefinite integral: ∫ 7*x**6 - 30*x**2 + 14*x/5 dx When performing calculations, please follow these guidelines: 1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2. 2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

rg

4.0 - 2.0i

{"source_dataset": "complex_arithmetic", "source_index": 0, "num1": [-3.0, 4.0], "num2": [-7.0, 6.0], "operation": "-", "result": [4, -2], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}, "task_name": "RG.complex_arithmetic", "_question": "Subtract the complex numbers: (-3.0 + 4.0i) - (-7.0 + 6.0i)", "_time": 0.00011658668518066406, "_task": "rg", "_level": 0}

Subtract the complex numbers: (-3.0 + 4.0i) - (-7.0 + 6.0i)

rg

["w,B3,D2", "B,B1,C3", "w,D2,B1", "B,C1,B3", "w,B2,D3", "B,C3,D1", "w,D3,C1", "B,D1,B2"]

{"source_dataset": "knight_swap", "source_index": 0, "board": {"D2": ["B1", "B3"], "C3": ["B1", "D1"], "C1": ["B3", "D3"], "B2": ["D1", "D3"], "B3": ["A1", "C1", "D2"], "D1": ["B2", "C3"], "D3": ["B2", "C1"], "A1": ["B3"], "B1": ["C3", "D2"]}, "pieces": {"D2": null, "C3": null, "C1": "B", "B2": "w", "B3": "w", "D1": null, "D3": null, "A1": null, "B1": "B"}, "start_turn": "w", "solution": [["w", "B3", "D2"], ["B", "B1", "C3"], ["w", "D2", "B1"], ["B", "C1", "B3"], ["w", "B2", "D3"], ["B", "C3", "D1"], ["w", "D3", "C1"], ["B", "D1", "B2"]], "is_possible": true, "num_steps": 8, "board_states": [{"D2": null, "C3": null, "C1": "B", "B2": "w", "B3": "w", "D1": null, "D3": null, "A1": null, "B1": "B"}, {"D2": "w", "C3": null, "C1": "B", "B2": "w", "B3": null, "D1": null, "D3": null, "A1": null, "B1": "B"}, {"D2": "w", "C3": "B", "C1": "B", "B2": "w", "B3": null, "D1": null, "D3": null, "A1": null, "B1": null}, {"D2": null, "C3": "B", "C1": "B", "B2": "w", "B3": null, "D1": null, "D3": null, "A1": null, "B1": "w"}, {"D2": null, "C3": "B", "C1": null, "B2": "w", "B3": "B", "D1": null, "D3": null, "A1": null, "B1": "w"}, {"D2": null, "C3": "B", "C1": null, "B2": null, "B3": "B", "D1": null, "D3": "w", "A1": null, "B1": "w"}, {"D2": null, "C3": null, "C1": null, "B2": null, "B3": "B", "D1": "B", "D3": "w", "A1": null, "B1": "w"}, {"D2": null, "C3": null, "C1": "w", "B2": null, "B3": "B", "D1": "B", "D3": null, "A1": null, "B1": "w"}, {"D2": null, "C3": null, "C1": "w", "B2": "B", "B3": "B", "D1": null, "D3": null, "A1": null, "B1": "w"}], "difficulty": {"nodes": [6, 9], "pieces": [2, 2], "steps": [4, 20]}, "task_name": "RG.knight_swap", "_question": "Knight Swap Challenge:\n\n```\n A B C D\n ----------------\n3 | | w | . | . |\n ----------------\n2 | | w | | . |\n ----------------\n1 | . | B | B | . |\n ----------------\n```\n\nLegend:\n- 'w' = White Knight\n- 'B' = Black Knight\n- Empty squares are marked with '.'\n\nObjective:\nSwap the positions of all white knights with all black knights through valid moves.\n\nRules:\n1. Knights move in L-shape (2 squares + 1 square perpendicular)\n2. Knights can only move to empty squares\n3. w moves first, then players alternate\n4. All knights must reach their target positions (white \u2194 black)\n\nQuestion:\nIs it possible to swap all knights' positions? If yes, list the moves.\n\nAnswer Format:\n- For impossible puzzles: \"No\"\n- For possible puzzles: List moves as [\"color,from,to\", ...]\n Example: [\"w,A1,B3\"] means white knight moves A1\u2192B3\n", "_time": 0.0023345947265625, "_task": "rg", "_level": 0}

Knight Swap Challenge: ``` A B C D ---------------- 3 | | w | . | . | ---------------- 2 | | w | | . | ---------------- 1 | . | B | B | . | ---------------- ``` Legend: - 'w' = White Knight - 'B' = Black Knight - Empty squares are marked with '.' Objective: Swap the positions of all white knights with all black knights through valid moves. Rules: 1. Knights move in L-shape (2 squares + 1 square perpendicular) 2. Knights can only move to empty squares 3. w moves first, then players alternate 4. All knights must reach their target positions (white ↔ black) Question: Is it possible to swap all knights' positions? If yes, list the moves. Answer Format: - For impossible puzzles: "No" - For possible puzzles: List moves as ["color,from,to", ...] Example: ["w,A1,B3"] means white knight moves A1→B3

rg

['-4.6', '-72.77']

{"source_dataset": "number_filtering", "source_index": 0, "original_numbers": ["-4.6", "46.5279", "76.8693", "-72.77"], "filter_value": "1.62", "operation": "remove_larger", "result": ["-4.6", "-72.77"], "numbers": 4, "difficulty": {"numbers": [3, 10], "decimals": [0, 4], "value": [-100.0, 100.0]}, "task_name": "RG.number_filtering", "_question": "Remove all numbers larger than 1.62 in this list: ['-4.6', '46.5279', '76.8693', '-72.77']\nReturn the new list in the same format.", "_time": 0.00011873245239257812, "_task": "rg", "_level": 0}

Remove all numbers larger than 1.62 in this list: ['-4.6', '46.5279', '76.8693', '-72.77'] Return the new list in the same format.

rg

9*8*1/3

{"source_dataset": "puzzle24", "source_index": 0, "numbers": [9, 8, 1, 3], "difficulty": {"value": [1, 10]}, "task_name": "RG.puzzle24", "_question": "Make 24 using 9, 8, 1, 3. You can only use each number once. You can use the operators +, -, *, /.\nFinal answer format instructions:\n1. Provide your final answer as a arithmetic expression (no '=' sign).\n2. Do not include the target number in the expression.\n3. Use '*' for multiplication.\n4. Use '/' for division.\n", "_time": 0.029462337493896484, "_task": "rg", "_level": 0}

Make 24 using 9, 8, 1, 3. You can only use each number once. You can use the operators +, -, *, /. Final answer format instructions: 1. Provide your final answer as a arithmetic expression (no '=' sign). 2. Do not include the target number in the expression. 3. Use '*' for multiplication. 4. Use '/' for division.

rg

5 6 5 6 8 7 1 4 3 8 9 7 2 0 2 0 8 0 3 4 2 2 1 9 6 0 2 5 6 9 5 3 2 5 1 9 5 2 7 3 7 7 5 8 5 0 7 7 7 9 2 3 9 6 1 7 2 2 6 1 7 6 5 5 4 0 9 2 5 9 7 1

{"source_dataset": "pool_matrix", "source_index": 0, "matrix": [[5, 6, 5, 6, 8, 7, 1, 4, 3], [8, 9, 7, 2, 0, 2, 0, 8, 0], [3, 4, 2, 2, 1, 9, 6, 0, 2], [5, 6, 9, 5, 3, 2, 5, 1, 9], [5, 2, 7, 3, 7, 7, 5, 8, 5], [0, 7, 7, 7, 9, 2, 3, 9, 6], [1, 7, 2, 2, 6, 1, 7, 6, 5], [5, 4, 0, 9, 2, 5, 9, 7, 1]], "pool_type": "max", "pool_size": 1, "solution": [[5, 6, 5, 6, 8, 7, 1, 4, 3], [8, 9, 7, 2, 0, 2, 0, 8, 0], [3, 4, 2, 2, 1, 9, 6, 0, 2], [5, 6, 9, 5, 3, 2, 5, 1, 9], [5, 2, 7, 3, 7, 7, 5, 8, 5], [0, 7, 7, 7, 9, 2, 3, 9, 6], [1, 7, 2, 2, 6, 1, 7, 6, 5], [5, 4, 0, 9, 2, 5, 9, 7, 1]], "rows": 8, "cols": 9, "difficulty": {"rows": [2, 10], "cols": [2, 10], "pool_size": [1, 3]}, "task_name": "RG.pool_matrix", "_question": "Your job is to perform max/average pooling on the given matrix.\nThe stride is equal to the kernel size, meaning there is no overlap between the pooling regions.\n\nYour output should be a matrix in the same format as the input matrix.\nThe output matrix is smaller than the input matrix when the kernel size is greater than 1, and its elements may be floating-point numbers.\nGive elements in the output matrix correct to 2 decimal places.\n\nPerform max pooling on the following matrix with a kernel size of 1:\n5 6 5 6 8 7 1 4 3\n8 9 7 2 0 2 0 8 0\n3 4 2 2 1 9 6 0 2\n5 6 9 5 3 2 5 1 9\n5 2 7 3 7 7 5 8 5\n0 7 7 7 9 2 3 9 6\n1 7 2 2 6 1 7 6 5\n5 4 0 9 2 5 9 7 1\n", "_time": 0.0004696846008300781, "_task": "rg", "_level": 0}

Your job is to perform max/average pooling on the given matrix. The stride is equal to the kernel size, meaning there is no overlap between the pooling regions. Your output should be a matrix in the same format as the input matrix. The output matrix is smaller than the input matrix when the kernel size is greater than 1, and its elements may be floating-point numbers. Give elements in the output matrix correct to 2 decimal places. Perform max pooling on the following matrix with a kernel size of 1: 5 6 5 6 8 7 1 4 3 8 9 7 2 0 2 0 8 0 3 4 2 2 1 9 6 0 2 5 6 9 5 3 2 5 1 9 5 2 7 3 7 7 5 8 5 0 7 7 7 9 2 3 9 6 1 7 2 2 6 1 7 6 5 5 4 0 9 2 5 9 7 1

rg

0.170964650695

{"source_dataset": "decimal_arithmetic", "source_index": 0, "decimal_places": 3, "num_terms": 5, "difficulty": {"decimal_places": [3, 3], "num_terms": [2, 6]}, "task_name": "RG.decimal_arithmetic", "_question": "Please solve this problem to a maximum of 12 significant digits, rounding up from the half. Only reply with the final value.\n((0.472/4.290)/((1.454/8.868)*3.925)) = ?", "_time": 0.0001671314239501953, "_task": "rg", "_level": 0}

Please solve this problem to a maximum of 12 significant digits, rounding up from the half. Only reply with the final value. ((0.472/4.290)/((1.454/8.868)*3.925)) = ?

rg

19

{"source_dataset": "count_bits", "source_index": 0, "number": 1969702526, "solution": 19, "binary": "1110101011001110100011001111110", "n": 1969702526, "difficulty": {"n": [1, 2147483647]}, "task_name": "RG.count_bits", "_question": "How many 1 bits are there in the binary representation of the number 1969702526?", "_time": 8.20159912109375e-05, "_task": "rg", "_level": 0}

How many 1 bits are there in the binary representation of the number 1969702526?

rg

-1

{"source_dataset": "number_sequence", "source_index": 0, "rule": "halve", "complexity": 2, "sequence": [-5, -3, -2, -1, -1, -1, -1], "difficulty": {"max_complexity": 3, "terms": [4, 8]}, "task_name": "RG.number_sequence", "_question": "-5, -3, -2, -1, -1, -1, ?", "_time": 0.000118255615234375, "_task": "rg", "_level": 0}

-5, -3, -2, -1, -1, -1, ?

rg

'A hundred years,' he replies.

{"source_dataset": "sentence_reordering", "source_index": 0, "word_count": 5, "difficulty": {"words_in_sentence": [3, 20]}, "task_name": "RG.sentence_reordering", "_question": "Restore the correct order of words in the following sentence: 'A years,' he hundred replies.", "_time": 0.0027718544006347656, "_task": "rg", "_level": 0}

Restore the correct order of words in the following sentence: 'A years,' he hundred replies.

rg

No

{"source_dataset": "syllogism", "source_index": 0, "premise1": "Some bees are not tigers", "premise2": "Some tigers are not spiders", "conclusion": "Some bees are not spiders", "is_valid": false, "type": "syllogism", "task_name": "RG.syllogism", "_question": "Consider these statements:\n1. Some bees are not tigers\n2. Some tigers are not spiders\n\nDoes it logically follow that:\nSome bees are not spiders?\n(Answer Yes or No)", "_time": 0.00010204315185546875, "_task": "rg", "_level": 0}

Consider these statements: 1. Some bees are not tigers 2. Some tigers are not spiders Does it logically follow that: Some bees are not spiders? (Answer Yes or No)

rg

WILL COME ANSWERED DR

{"source_dataset": "caesar_cipher", "source_index": 0, "rotation": 18, "cipher_text": "OADD UGEW SFKOWJWV VJ", "clear_text": "WILL COME ANSWERED DR", "num_words": 4, "difficulty": {"words": [3, 20], "rotation": [1, 25]}, "task_name": "RG.caesar_cipher", "_question": "Decrypt this Caesar cipher text: OADD UGEW SFKOWJWV VJ. Provide only the decrypted text as your final answer.", "_time": 0.0017330646514892578, "_task": "rg", "_level": 0}

Decrypt this Caesar cipher text: OADD UGEW SFKOWJWV VJ. Provide only the decrypted text as your final answer.

rg

on

{"source_dataset": "acre", "source_index": 0, "task_name": "RG.acre", "_question": "You are a researcher studying causal relationships using Blicket experiments. In these experiments, certain objects (called 'blickets') have the hidden property of activating a detector, causing its light to turn on.\n\nEach example shows the results of placing different combinations of objects on the detector. Each object is described by color, material and shape. Your task is to determine whether a new combination of objects will cause the detector to activate.\n\nAfter observing the previous examples, respond with:\n- \"on\" if you can determine the detector light will turn on\n- \"off\" if you can determine the detector light will stay off\n- \"undetermined\" if there is insufficient evidence to reach a conclusion\n\nDo not use quotation marks in your answer.\n\nPrevious experimental results:\npurple metal sphere \u2192 on\nbrown rubber cube \u2192 off\npurple metal sphere, brown rubber cube \u2192 on\nred metal sphere, purple rubber sphere, blue metal cylinder \u2192 on\nblue metal cylinder \u2192 off\nred metal cube, green rubber cylinder \u2192 off\n\nNew test case:\npurple metal sphere\n\nWhat is the detector light status?", "_time": 0.0002002716064453125, "_task": "rg", "_level": 0}

You are a researcher studying causal relationships using Blicket experiments. In these experiments, certain objects (called 'blickets') have the hidden property of activating a detector, causing its light to turn on. Each example shows the results of placing different combinations of objects on the detector. Each object is described by color, material and shape. Your task is to determine whether a new combination of objects will cause the detector to activate. After observing the previous examples, respond with: - "on" if you can determine the detector light will turn on - "off" if you can determine the detector light will stay off - "undetermined" if there is insufficient evidence to reach a conclusion Do not use quotation marks in your answer. Previous experimental results: purple metal sphere → on brown rubber cube → off purple metal sphere, brown rubber cube → on red metal sphere, purple rubber sphere, blue metal cylinder → on blue metal cylinder → off red metal cube, green rubber cylinder → off New test case: purple metal sphere What is the detector light status?

rg

Penelope is a pioneer, and Samuel is a pioneer.

{"source_dataset": "knights_knaves", "source_index": 0, "statements": [["and", ["telling-truth", 1], ["telling-truth", 0]], ["<=>", ["telling-truth", 0], ["telling-truth", 1]]], "solution": [true, true], "names": ["Penelope", "Samuel"], "knight_knave_terms": {"knight": "pioneer", "knave": "laggard", "a_knight": "a pioneer", "a_knave": "a laggard", "Knight": "Pioneer", "Knave": "Laggard"}, "difficulty": {"n_people": 2, "depth_constraint": 2, "width_constraint": 2}, "task_name": "RG.knights_knaves", "_question": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Penelope, and Samuel. Penelope remarked, \"Samuel is a pioneer and Penelope is a pioneer\". According to Samuel, \"Penelope is a pioneer if and only if Samuel is a pioneer\". So who is a pioneer and who is a laggard? (Format your answer like: \"Penelope is a pioneer/laggard, and Samuel is a pioneer/laggard\")", "_time": 0.0013740062713623047, "_task": "rg", "_level": 0}

A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 2 inhabitants: Penelope, and Samuel. Penelope remarked, "Samuel is a pioneer and Penelope is a pioneer". According to Samuel, "Penelope is a pioneer if and only if Samuel is a pioneer". So who is a pioneer and who is a laggard? (Format your answer like: "Penelope is a pioneer/laggard, and Samuel is a pioneer/laggard")

rg

0 1 0 5 0 3

{"source_dataset": "string_splitting", "source_index": 0, "states": [[3, 5, 0, 0, 0, 0], [2, 5, 0, 2, 1, 0], [1, 5, 0, 4, 2, 0], [0, 5, 0, 6, 3, 0], [0, 3, 0, 7, 3, 0], [0, 1, 0, 8, 3, 0], [0, 1, 0, 7, 2, 1], [0, 1, 0, 6, 1, 2], [0, 1, 0, 5, 0, 3]], "solution": [0, 1, 0, 5, 0, 3], "initial_machines": [3, 5, 0], "difficulty": {"initial_machines": [0, 5]}, "task_name": "RG.string_splitting", "_question": "There is a dismantling engineer who has old machines A, B, and C.\nHe discovered that he can obtain a batch of new parts X, Y, Z through the following rules:\n1. One unit of machine A can be dismanteled into two units of part X and one unit of part Y.\n2. Two units of machine B can be dismanteled into one unit of part X.\n3. Two units of machine C can be dismanteled into one unit of part Y.\n4. One unit of machine B and one unit of machine C can be combined into one unit of machine A.\n5. One unit of part X and one unit of part Y can be combined into one unit of part Z.\n\nGiven a certain number of initial machines, your job is to continuously cycle through the rules 1-5 above, exausting one rule at a time, until no more rules can be applied, or until a state (counts of each machine and part type) is repeated.\nAfter you make use of a rule, you should update the counts of each machine and part type accordingly, and then restart the process from rule 1.\n\nThe output should be the count of each machine and part type after the rules have been exhaustively applied in the following order: A B C X Y Z.\nFor example 1 0 1 5 4 3 means that you have 1 machine A, 0 machine B, 1 machine C, 5 part X, 4 part Y, and 3 part Z.\n\nNow, you have 3 machine A, 5 machine B, and 0 machine C. Provide the count of each machine and part type after applying the above rules.\nNote: Apply the rules at most 1000 times. If the rules cannot be applied anymore, or if you have reached the maximum number of iterations, stop and provide the current counts of each machine and part type.\n", "_time": 0.00011348724365234375, "_task": "rg", "_level": 0}

There is a dismantling engineer who has old machines A, B, and C. He discovered that he can obtain a batch of new parts X, Y, Z through the following rules: 1. One unit of machine A can be dismanteled into two units of part X and one unit of part Y. 2. Two units of machine B can be dismanteled into one unit of part X. 3. Two units of machine C can be dismanteled into one unit of part Y. 4. One unit of machine B and one unit of machine C can be combined into one unit of machine A. 5. One unit of part X and one unit of part Y can be combined into one unit of part Z. Given a certain number of initial machines, your job is to continuously cycle through the rules 1-5 above, exausting one rule at a time, until no more rules can be applied, or until a state (counts of each machine and part type) is repeated. After you make use of a rule, you should update the counts of each machine and part type accordingly, and then restart the process from rule 1. The output should be the count of each machine and part type after the rules have been exhaustively applied in the following order: A B C X Y Z. For example 1 0 1 5 4 3 means that you have 1 machine A, 0 machine B, 1 machine C, 5 part X, 4 part Y, and 3 part Z. Now, you have 3 machine A, 5 machine B, and 0 machine C. Provide the count of each machine and part type after applying the above rules. Note: Apply the rules at most 1000 times. If the rules cannot be applied anymore, or if you have reached the maximum number of iterations, stop and provide the current counts of each machine and part type.

rg

Wednesday

{"task": "weekday_offset", "start_date": "2022-06-11", "offset_days": -17, "target_date": "2022-05-25", "source_dataset": "calendar_arithmetic", "source_index": 0, "difficulty": {"tasks": ["weekday_offset", "weekday_of_date", "weekday_of_date_from_first_date", "recurring_event_day", "count_days", "count_business_days", "is_leap_year"], "offset_upper_bound": 100}, "task_name": "RG.calendar_arithmetic", "_question": "If today is Saturday, June 11, 2022, what day of the week was it 17 days ago? Give the weekday name in full.", "_time": 0.0002014636993408203, "_task": "rg", "_level": 0}

If today is Saturday, June 11, 2022, what day of the week was it 17 days ago? Give the weekday name in full.

rg

18

{"source_dataset": "count_bits", "source_index": 0, "number": 1169605311, "solution": 18, "binary": "1000101101101101100001010111111", "n": 1169605311, "difficulty": {"n": [1, 2147483647]}, "task_name": "RG.count_bits", "_question": "How many 1 bits are there in the binary representation of the number 1169605311?", "_time": 8.273124694824219e-05, "_task": "rg", "_level": 0}

How many 1 bits are there in the binary representation of the number 1169605311?

rg

[78]

{"source_dataset": "list_functions", "source_index": 0, "task_name": "RG.list_functions", "_question": "You are an expert at inductive reasoning. Generate an output corresponding to the given input.\nThe output is generated by applying the same rule that maps input to output for the examples provided. Your answer should be a list of element/elements\nExamples:\nInput 1: [87, 9, 42, 56, 94, 8, 76, 79, 37, 7]\nOutput 1: [79]\nInput 2: [26, 12, 29, 47, 4]\nOutput 2: [4]\nInput 3: [48, 36, 14, 38, 12, 14, 3]\nOutput 3: [38]\nInput 4: [77, 56, 18, 88, 5, 17, 3]\nOutput 4: [88]\n\n\nInput: [75, 78, 1]\nOutput:\n", "_time": 0.0001385211944580078, "_task": "rg", "_level": 0}

You are an expert at inductive reasoning. Generate an output corresponding to the given input. The output is generated by applying the same rule that maps input to output for the examples provided. Your answer should be a list of element/elements Examples: Input 1: [87, 9, 42, 56, 94, 8, 76, 79, 37, 7] Output 1: [79] Input 2: [26, 12, 29, 47, 4] Output 2: [4] Input 3: [48, 36, 14, 38, 12, 14, 3] Output 3: [38] Input 4: [77, 56, 18, 88, 5, 17, 3] Output 4: [88] Input: [75, 78, 1] Output:

rg

0

{"source_dataset": "largest_island", "source_index": 0, "grid": [[0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0]], "solution": 0, "difficulty": {"rows": [5, 10], "cols": [5, 10], "num_islands": [0, 5], "island_size": [0, 10]}, "task_name": "RG.largest_island", "_question": "You are given the following 7 x 9 binary matrix grid:\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0\n\nAn island is a group of 1's (representing land) connected 4-directionally (horizontal or vertical).\nYou may assume all four edges of the grid are surrounded by water.\n\nThe area of an island is the number of cells with a value 1 in the island.\n\nReturn the maximum area of an island in grid. If there is no island, return 0.\n", "_time": 0.00011658668518066406, "_task": "rg", "_level": 0}

You are given the following 7 x 9 binary matrix grid: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 An island is a group of 1's (representing land) connected 4-directionally (horizontal or vertical). You may assume all four edges of the grid are surrounded by water. The area of an island is the number of cells with a value 1 in the island. Return the maximum area of an island in grid. If there is no island, return 0.

rg

FLAMED

{"source_dataset": "figlet_font", "source_index": 0, "font": "devilish", "space_letters": true, "difficulty": {"word_len": [3, 7]}, "task_name": "RG.figlet_font", "_question": "What word does this say?\n\n####### ### ## ## ## ####### ##### \n## ### ### #### ### ### ## ### ## ### \n## ## ## ## ## ####### ## ## ## ### \n### ## ####### ## # ## ### ## ## \n#### ## ## ### ## ## #### ## ## \n### ## ## ### ### ### ## ## ## ### ### \n### ###### ### ### ### ## ####### ###### \n \n", "_time": 0.15222978591918945, "_task": "rg", "_level": 0}

What word does this say? ####### ### ## ## ## ####### ##### ## ### ### #### ### ### ## ### ## ### ## ## ## ## ## ####### ## ## ## ### ### ## ####### ## # ## ### ## ## #### ## ## ### ## ## #### ## ## ### ## ## ### ### ### ## ## ## ### ### ### ###### ### ### ### ## ####### ######

rg

8

{"source_dataset": "rectangle_count", "source_index": 0, "puzzle": " \n \n \n ##################################### \n # # \n # # \n # # \n # # \n # # \n ##########\u2588################################## # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # ##################################\u2588## \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # #################################\u2588# \n #########################\u2588##########\u2588############################ ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # ############################\u2588####\u2588# \n # # ######### # # \n # # # # # # \n # # ######### # # \n # # # # \n # # # # \n # # # # \n # ##########\u2588######################################\u2588####\u2588#####\n ###############\u2588#########\u2588####################################### # #\n # # # #\n # # #### # #\n # #######\u2588##\u2588################ # #\n # ## #### # # #\n # ## # # #\n # ## # # #\n # ########################### # #\n ##########\u2588###########################################\u2588#####\n # # \n # # \n # # \n # # \n ############################################# \n \n", "solution": 8, "num_rectangles": 8, "difficulty": {"max_rectangles": 10}, "task_name": "RG.rectangle_count", "_question": "Your task is to count how many rectangles are present in an ASCII grid.\n\nSingle rectangles are outlined with a '#', overlapping rectangles (max 2) are shown with '\u2588'.\n\nYour output should be a single number, representing the total count of rectangles.\n\nNow, it's your turn. How many rectangles do you see in the grid below?\n \n \n \n ##################################### \n # # \n # # \n # # \n # # \n # # \n ##########\u2588################################## # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # # # # \n # ##################################\u2588## \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # #################################\u2588# \n #########################\u2588##########\u2588############################ ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # # # ## \n # # ############################\u2588####\u2588# \n # # ######### # # \n # # # # # # \n # # ######### # # \n # # # # \n # # # # \n # # # # \n # ##########\u2588######################################\u2588####\u2588#####\n ###############\u2588#########\u2588####################################### # #\n # # # #\n # # #### # #\n # #######\u2588##\u2588################ # #\n # ## #### # # #\n # ## # # #\n # ## # # #\n # ########################### # #\n ##########\u2588###########################################\u2588#####\n # # \n # # \n # # \n # # \n ############################################# \n \n\n", "_time": 0.0007886886596679688, "_task": "rg", "_level": 0}

Your task is to count how many rectangles are present in an ASCII grid. Single rectangles are outlined with a '#', overlapping rectangles (max 2) are shown with '█'. Your output should be a single number, representing the total count of rectangles. Now, it's your turn. How many rectangles do you see in the grid below? ##################################### # # # # # # # # # # ##########█################################## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ##################################█## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #################################█# #########################█##########█############################ ## # # # # ## # # # # ## # # # # ## # # # # ## # # # # ## # # # # ## # # # # ## # # # # ## # # # # ## # # ############################█####█# # # ######### # # # # # # # # # # ######### # # # # # # # # # # # # # # # ##########█######################################█####█##### ###############█#########█####################################### # # # # # # # # #### # # # #######█##█################ # # # ## #### # # # # ## # # # # ## # # # # ########################### # # ##########█###########################################█##### # # # # # # # # #############################################

rg

3

{"source_dataset": "aiw", "source_index": 0, "task_type": "colleagues", "difficulty": {"task_type_weights": [0.3333333333333333, 0.3333333333333333, 0.3333333333333333], "num_entities": 6}, "task_name": "RG.aiw", "_question": "Patricia has 1 male colleagues and she also has 2 female colleagues. These are all colleagues that Patricia has. All these mentioned persons around Patricia are colleagues of each other. William has 5 male colleagues and 2 female colleagues in total. All these mentioned persons around William are colleagues of each other. The people in the circle around William do not have other colleagues aside - with the only exception of Matilda. She is colleague of William and she is also colleague of Patricia, being part of Patricia's circle. How many female colleagues does Matilda have?", "_time": 0.00011348724365234375, "_task": "rg", "_level": 0}

Patricia has 1 male colleagues and she also has 2 female colleagues. These are all colleagues that Patricia has. All these mentioned persons around Patricia are colleagues of each other. William has 5 male colleagues and 2 female colleagues in total. All these mentioned persons around William are colleagues of each other. The people in the circle around William do not have other colleagues aside - with the only exception of Matilda. She is colleague of William and she is also colleague of Patricia, being part of Patricia's circle. How many female colleagues does Matilda have?

rg

4

{"source_dataset": "gcd", "source_index": 0, "numbers": [96, 236], "result": 4, "num_terms": 2, "difficulty": {"num_terms": [2, 2], "value": [1, 1000]}, "task_name": "RG.gcd", "_question": "Find the Greatest Common Divisor (GCD) of these numbers: 96, 236. Give only the GCD as your final answer.", "_time": 0.00010776519775390625, "_task": "rg", "_level": 0}

Find the Greatest Common Divisor (GCD) of these numbers: 96, 236. Give only the GCD as your final answer.

rg

False

{"source_dataset": "game_of_life_halting", "source_index": 0, "grid_size_x": 12, "grid_size_y": 12, "placed_patterns": [{"name": "tripole", "position": [2, 1]}], "simulation_steps": 20, "should_oscillate": true, "difficulty": {"grid_size_x": 12, "grid_size_y": 12, "difficulty": 1, "num_oscillators": 5, "max_simulation_steps": 20}, "task_name": "RG.game_of_life_halting", "_question": "This is a 'Game of Life' grid. We consider a game halted if there are no cells alive.\nWill this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'.\n\nInitial board:\n[[0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 1 1 0 0 0 0 0]\n [0 0 0 0 1 0 1 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 1 0 1 0 0 0 0 0 0 0]\n [0 1 0 0 0 0 0 0 0 0 0 0]\n [0 1 1 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]\n [0 0 0 0 0 0 0 0 0 0 0 0]]", "_time": 0.004126071929931641, "_task": "rg", "_level": 0}

This is a 'Game of Life' grid. We consider a game halted if there are no cells alive. Will this game halt at or before 20 steps? Assume a Moore neighborhood and wrapping topology. If it will halt, reply 'True'. If it won't halt, reply 'False'. Initial board: [[0 0 0 0 0 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 1 0 0 0 0 0] [0 0 0 0 1 0 1 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 0 1 0 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 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0]]

rg

-20

{"source_dataset": "number_sequence", "source_index": 0, "rule": "halve then add -10", "complexity": 1, "sequence": [2, -9, -15, -18, -19, -20, -20], "difficulty": {"max_complexity": 3, "terms": [4, 8]}, "task_name": "RG.number_sequence", "_question": "2, -9, -15, -18, -19, -20, ?", "_time": 0.00019693374633789062, "_task": "rg", "_level": 0}

2, -9, -15, -18, -19, -20, ?

rg

Mahmoud

{"source_dataset": "needle_haystack", "source_index": 0, "question": "Who extols the color ruby? Reply only with a name.", "num_statements": 98, "difficulty": {"num_statements": [10, 100]}, "task_name": "RG.needle_haystack", "_question": "Kai tolerates burger. Nickhill is committed to sports cars. Ediomi idolizes integrity. Hussnan mocks indie films. Kacper spurns vans. Colby rejects surfing. Praise celebrates tractors. Remigiusz applauds rowing. Lincoln worships scrubbing the tub. Quinlan thrives on tea. Bailee shrugs off hippopotamuses. Konar esteems the color black. Arryn blasts mystery. Keilan enjoys the color lemon. Ioannis can\u2019t stand deer. Nevin scoffs at eagles. Ricards shrugs off investment strategies. Arann is passionate about playing field hockey. Lenon treasures compassion. Pardeepraj ignores zoology. Jaden bemoans playing tennis. Joshiah deifies the color purple. Harman waves away ultimate frisbee. Garry curses hiking. Valentino puts up with bicycles. Jerrick likes ultimate frisbee. Mathias is neutral toward sheep. Linton enjoys resilience. Aliyaan waves away balloons. Oz glories in metalworking. Tre disdains metalworking. Suheyb yearns for vintage cars. Noel is apathetic about submarines. Nassir shuns playing the accordion. Malakai overlooks deer. Jeffrey sneers at playing tennis. Dawid shuns playing lacrosse. Anmolpreet scorns geese. Azeem spurns the color eggplant. Allen ignores geography. Otto disdains street art. Zacharias scorns sculpting. Litrell is passionate about classic literature. Jesse finds pleasure in theatre. Zeeshan is committed to experimental theater. Marvellous finds fulfillment in solving puzzles. Marwan reveres playing board games. Ammaar admires airplanes. Kuba rejects candy. Kayden scoffs at cleaning the windows. Briaddon rejoices in landscape photography. Sanfur is fond of hippopotamuses. Kayleb disdains racing cars. Kevin scoffs at mountain biking. Daegan worships pizza. Mitchell brushes off sewing. Meyzhward prizes limousines. Radmiras abhors crabs. Rihan waves away pie. Lloyde is partial to camels. Jace glorifies sandwich. Victory hates visiting art galleries. Koushik neglects solving riddles. Kalen dislikes the color crimson. Mitch is partial to wolves. Taliesin abhors compassion. Kallin scoffs at sushi. Nihal lusts after horses. Johnny idolizes zebras. Isimeli shuns the color cyan. Sidney prizes boats. Elias exults in traveling. Albert worships skateboards. Devlin disapproves of dumplings. Ashwin adores spiders. Lewie is passionate about acting. Laird pines for integrity. Benedict sneers at pottery making. Ceirin values urban exploration. Luka finds satisfaction in playing the cello. Bentley values bulldozers. Blake can\u2019t bear playing video games. Danar adores skiing. Zarran fancies giraffes. Roddy savors fencing. Krishan finds satisfaction in emptying the dishwasher. Mahmoud extols the color ruby. Athon detests cats. Aldred supports sandwiches. Ranolph is partial to sketching. Jomuel embraces ostriches. Angus damns beatboxing. Lysander values pizza. Zaak waves away listening to blues. Kajally exalts minivans. McKauley exalts pastries. Maddox damns cleaning the blinds. Loudon disapproves of playing percussion. \nWho extols the color ruby? Reply only with a name.", "_time": 0.0002582073211669922, "_task": "rg", "_level": 0}

Kai tolerates burger. Nickhill is committed to sports cars. Ediomi idolizes integrity. Hussnan mocks indie films. Kacper spurns vans. Colby rejects surfing. Praise celebrates tractors. Remigiusz applauds rowing. Lincoln worships scrubbing the tub. Quinlan thrives on tea. Bailee shrugs off hippopotamuses. Konar esteems the color black. Arryn blasts mystery. Keilan enjoys the color lemon. Ioannis can’t stand deer. Nevin scoffs at eagles. Ricards shrugs off investment strategies. Arann is passionate about playing field hockey. Lenon treasures compassion. Pardeepraj ignores zoology. Jaden bemoans playing tennis. Joshiah deifies the color purple. Harman waves away ultimate frisbee. Garry curses hiking. Valentino puts up with bicycles. Jerrick likes ultimate frisbee. Mathias is neutral toward sheep. Linton enjoys resilience. Aliyaan waves away balloons. Oz glories in metalworking. Tre disdains metalworking. Suheyb yearns for vintage cars. Noel is apathetic about submarines. Nassir shuns playing the accordion. Malakai overlooks deer. Jeffrey sneers at playing tennis. Dawid shuns playing lacrosse. Anmolpreet scorns geese. Azeem spurns the color eggplant. Allen ignores geography. Otto disdains street art. Zacharias scorns sculpting. Litrell is passionate about classic literature. Jesse finds pleasure in theatre. Zeeshan is committed to experimental theater. Marvellous finds fulfillment in solving puzzles. Marwan reveres playing board games. Ammaar admires airplanes. Kuba rejects candy. Kayden scoffs at cleaning the windows. Briaddon rejoices in landscape photography. Sanfur is fond of hippopotamuses. Kayleb disdains racing cars. Kevin scoffs at mountain biking. Daegan worships pizza. Mitchell brushes off sewing. Meyzhward prizes limousines. Radmiras abhors crabs. Rihan waves away pie. Lloyde is partial to camels. Jace glorifies sandwich. Victory hates visiting art galleries. Koushik neglects solving riddles. Kalen dislikes the color crimson. Mitch is partial to wolves. Taliesin abhors compassion. Kallin scoffs at sushi. Nihal lusts after horses. Johnny idolizes zebras. Isimeli shuns the color cyan. Sidney prizes boats. Elias exults in traveling. Albert worships skateboards. Devlin disapproves of dumplings. Ashwin adores spiders. Lewie is passionate about acting. Laird pines for integrity. Benedict sneers at pottery making. Ceirin values urban exploration. Luka finds satisfaction in playing the cello. Bentley values bulldozers. Blake can’t bear playing video games. Danar adores skiing. Zarran fancies giraffes. Roddy savors fencing. Krishan finds satisfaction in emptying the dishwasher. Mahmoud extols the color ruby. Athon detests cats. Aldred supports sandwiches. Ranolph is partial to sketching. Jomuel embraces ostriches. Angus damns beatboxing. Lysander values pizza. Zaak waves away listening to blues. Kajally exalts minivans. McKauley exalts pastries. Maddox damns cleaning the blinds. Loudon disapproves of playing percussion. Who extols the color ruby? Reply only with a name.

rg

damaged, made, free, what, the

{"source_dataset": "word_sequence_reversal", "source_index": 0, "num_words": 5, "words": ["the", "what", "free", "made", "damaged"], "difficulty": {"words": [3, 8]}, "task_name": "RG.word_sequence_reversal", "_question": "Solve the following problem.\n\nProvide you answer as a comma-separated list of words with a space after the comma.\n\nReverse this list of words: the, what, free, made, damaged\n", "_time": 0.002514362335205078, "_task": "rg", "_level": 0}

Solve the following problem. Provide you answer as a comma-separated list of words with a space after the comma. Reverse this list of words: the, what, free, made, damaged

rg

None

{"source_dataset": "propositional_logic", "source_index": 0, "premises": ["\u00acQ", "((P \u2227 P) \u2194 \u00acQ)"], "variables": ["P", "Q"], "complexity": 2, "example_answer": "\u00acQ", "difficulty": {"vars": [2, 4], "statements": [2, 4], "complexity": [1, 3]}, "task_name": "RG.propositional_logic", "_question": "The following question is a propositional logic reasoning question.\n\nIn the question we provide a list of premises. The task is to infer a correct conclusion from the premise.\n\nFORMAT INSTRUCTIONS:\n- Return the conclusion logic statement, as your final answer.\n- Use the following notation to denote symbols\n - OR = \u2228\n - AND = \u2227\n - IMPLIES = \u2192\n - IFF = \u2194\n - NOT = \u00ac\n\nHere is the question:\nGiven:\n1. \u00acQ\n.2. ((P \u2227 P) \u2194 \u00acQ)\n.What can we conclude from the above statements?", "_time": 0.0001652240753173828, "_task": "rg", "_level": 0}

The following question is a propositional logic reasoning question. In the question we provide a list of premises. The task is to infer a correct conclusion from the premise. FORMAT INSTRUCTIONS: - Return the conclusion logic statement, as your final answer. - Use the following notation to denote symbols - OR = ∨ - AND = ∧ - IMPLIES = → - IFF = ↔ - NOT = ¬ Here is the question: Given: 1. ¬Q .2. ((P ∧ P) ↔ ¬Q) .What can we conclude from the above statements?

rg

15/113

{"source_dataset": "fraction_simplification", "source_index": 0, "numerator": 360, "denominator": 2712, "simplified_numerator": 15, "simplified_denominator": 113, "reduction_factor": 24, "style": "plain", "factor": 24, "difficulty": {"value": [1, 1000], "factor": [1, 100]}, "task_name": "RG.fraction_simplification", "_question": "Simplify the fraction 360/2712 to its lowest terms. Give only the simplified fraction as your final answer.", "_time": 0.00010228157043457031, "_task": "rg", "_level": 0}

Simplify the fraction 360/2712 to its lowest terms. Give only the simplified fraction as your final answer.

rg

on

{"source_dataset": "acre", "source_index": 0, "task_name": "RG.acre", "_question": "You are a researcher studying causal relationships using Blicket experiments. In these experiments, certain objects (called 'blickets') have the hidden property of activating a detector, causing its light to turn on.\n\nEach example shows the results of placing different combinations of objects on the detector. Each object is described by color, material and shape. Your task is to determine whether a new combination of objects will cause the detector to activate.\n\nAfter observing the previous examples, respond with:\n- \"on\" if you can determine the detector light will turn on\n- \"off\" if you can determine the detector light will stay off\n- \"undetermined\" if there is insufficient evidence to reach a conclusion\n\nDo not use quotation marks in your answer.\n\nPrevious experimental results:\npurple rubber cylinder, red rubber cube \u2192 on\npurple rubber cylinder \u2192 on\nred rubber cube \u2192 off\nblue metal cube, green metal cylinder, gray metal cube \u2192 on\ngreen metal cylinder, gray metal cube \u2192 off\ngray metal cube \u2192 off\n\nNew test case:\nblue metal cube\n\nWhat is the detector light status?", "_time": 0.00019812583923339844, "_task": "rg", "_level": 0}

You are a researcher studying causal relationships using Blicket experiments. In these experiments, certain objects (called 'blickets') have the hidden property of activating a detector, causing its light to turn on. Each example shows the results of placing different combinations of objects on the detector. Each object is described by color, material and shape. Your task is to determine whether a new combination of objects will cause the detector to activate. After observing the previous examples, respond with: - "on" if you can determine the detector light will turn on - "off" if you can determine the detector light will stay off - "undetermined" if there is insufficient evidence to reach a conclusion Do not use quotation marks in your answer. Previous experimental results: purple rubber cylinder, red rubber cube → on purple rubber cylinder → on red rubber cube → off blue metal cube, green metal cylinder, gray metal cube → on green metal cylinder, gray metal cube → off gray metal cube → off New test case: blue metal cube What is the detector light status?

rg

4 2 9 3 2 6 2 7 6 6 4 2 3 0 8 4 0 1 8 0 3 9 6 9 7 8 5 1 7 7 4 4 7 1 6 9 1 0 6 7 7 5 1 2 4 2 9 1 9 9 0 0 6 7 8 8 3 4 6 1 4 4 3 0

{"source_dataset": "spiral_matrix", "source_index": 0, "matrix": [[4, 2, 9, 3, 2, 6, 2, 7], [1, 7, 7, 4, 4, 7, 1, 6], [5, 1, 9, 9, 0, 0, 6, 6], [8, 9, 1, 4, 4, 6, 9, 4], [7, 2, 6, 0, 3, 7, 1, 2], [9, 4, 4, 3, 8, 8, 0, 3], [6, 2, 1, 5, 7, 7, 6, 0], [9, 3, 0, 8, 1, 0, 4, 8]], "solution": [4, 2, 9, 3, 2, 6, 2, 7, 6, 6, 4, 2, 3, 0, 8, 4, 0, 1, 8, 0, 3, 9, 6, 9, 7, 8, 5, 1, 7, 7, 4, 4, 7, 1, 6, 9, 1, 0, 6, 7, 7, 5, 1, 2, 4, 2, 9, 1, 9, 9, 0, 0, 6, 7, 8, 8, 3, 4, 6, 1, 4, 4, 3, 0], "n": 8, "difficulty": {"n": [2, 10]}, "task_name": "RG.spiral_matrix", "_question": "Given a matrix, your job is to generate a list of elements in spiral order, starting from the top-left element.\n\nThe spiral order is clockwise, starting from the top-left corner. More precisely:\n- Start from the top-left corner and move right.\n- Move down towards the bottom-right corner.\n- Move left towards the bottom-left corner.\n- Move up towards the top-right corner.\n- Repeat the steps for the inner elements of the matrix until every entry is visited.\n\nYour output should be a space-separated list of integers, e.g. 1 2 3 4 5 6\n\nFor the matrix below, what is the list of elements in spiral order?\n4 2 9 3 2 6 2 7\n1 7 7 4 4 7 1 6\n5 1 9 9 0 0 6 6\n8 9 1 4 4 6 9 4\n7 2 6 0 3 7 1 2\n9 4 4 3 8 8 0 3\n6 2 1 5 7 7 6 0\n9 3 0 8 1 0 4 8\n", "_time": 0.0001857280731201172, "_task": "rg", "_level": 0}

Given a matrix, your job is to generate a list of elements in spiral order, starting from the top-left element. The spiral order is clockwise, starting from the top-left corner. More precisely: - Start from the top-left corner and move right. - Move down towards the bottom-right corner. - Move left towards the bottom-left corner. - Move up towards the top-right corner. - Repeat the steps for the inner elements of the matrix until every entry is visited. Your output should be a space-separated list of integers, e.g. 1 2 3 4 5 6 For the matrix below, what is the list of elements in spiral order? 4 2 9 3 2 6 2 7 1 7 7 4 4 7 1 6 5 1 9 9 0 0 6 6 8 9 1 4 4 6 9 4 7 2 6 0 3 7 1 2 9 4 4 3 8 8 0 3 6 2 1 5 7 7 6 0 9 3 0 8 1 0 4 8

rg

I8

{"source_dataset": "tsumego", "source_index": 0, "board": [[".", ".", ".", ".", ".", ".", "X", ".", ".", ".", "."], [".", ".", ".", ".", ".", ".", ".", "X", "X", ".", "."], ["O", ".", ".", ".", ".", "O", "X", "O", "O", "X", "O"], [".", ".", "O", ".", ".", ".", "X", "O", ".", ".", "."], ["X", ".", ".", ".", ".", ".", ".", "X", ".", ".", "O"], [".", ".", ".", ".", ".", ".", ".", "O", ".", "X", "."], [".", "O", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", ".", ".", ".", ".", "X", ".", ".", ".", ".", "."], [".", ".", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", ".", ".", ".", ".", ".", ".", ".", ".", ".", "."], [".", ".", ".", ".", ".", ".", "X", ".", ".", ".", "."]], "board_size": 11, "difficulty": {"board_size": [9, 13]}, "task_name": "RG.tsumego", "_question": "Here's a Go challenge. Playing as Black, how can you capture as many white stones as possible?\n\n```\n A B C D E F G H I J K\n11 . . . . . . X . . . .\n10 . . . . . . . X X . .\n 9 O . . . . O X O O X O\n 8 . . O . . . X O . . .\n 7 X . . . . . . X . . O\n 6 . . . . . . . O . X .\n 5 . O . . . . . . . . .\n 4 . . . . . X . . . . .\n 3 . . . . . . . . . . .\n 2 . . . . . . . . . . .\n 1 . . . . . . X . . . .\n```\n\nX - Black\nO - White\n\nSpecify your move in coordinates (e.g. 'C4' for column C, row 4)", "_time": 0.00028133392333984375, "_task": "rg", "_level": 0}

Here's a Go challenge. Playing as Black, how can you capture as many white stones as possible? ``` A B C D E F G H I J K 11 . . . . . . X . . . . 10 . . . . . . . X X . . 9 O . . . . O X O O X O 8 . . O . . . X O . . . 7 X . . . . . . X . . O 6 . . . . . . . O . X . 5 . O . . . . . . . . . 4 . . . . . X . . . . . 3 . . . . . . . . . . . 2 . . . . . . . . . . . 1 . . . . . . X . . . . ``` X - Black O - White Specify your move in coordinates (e.g. 'C4' for column C, row 4)

rg

-3

{"source_dataset": "basic_arithmetic", "source_index": 0, "expression": "-( -3 / 1 + -( ( -4 + -7 ) ) - 5 ) / 1", "num_terms": 6, "num_digits": 1, "difficulty": {"num_terms": [2, 6], "num_digits": [1, 4]}, "task_name": "RG.basic_arithmetic", "_question": "Calculate -( -3 / 1 + -( ( -4 + -7 ) ) - 5 ) / 1.", "_time": 0.00016236305236816406, "_task": "rg", "_level": 0}

Calculate -( -3 / 1 + -( ( -4 + -7 ) ) - 5 ) / 1.

rg

3

{"source_dataset": "self_reference", "source_index": 0, "difficulty": {"difficulty": 5}, "task_name": "RG.self_reference", "_question": "Given the truthfulness of these statements, please tell me the number of possible solutions: \n - Statement 1: 'At least 1 of these 7 statements are true.'\n - Statement 2: 'At most 2 of these 7 statements are false.'\n - Statement 3: 'Exactly 4 of these 7 statements are true.'\n - Statement 4: 'Exactly 3 of these 7 statements are false.'\n - Statement 5: 'Either Statement 3 or Statement 4 is true, but not both.'\n - Statement 6: 'The number of true statements is a prime number.'\n - Statement 7: 'The number of false statements is a composite number.'\n", "_time": 0.00021529197692871094, "_task": "rg", "_level": 0}

Given the truthfulness of these statements, please tell me the number of possible solutions: - Statement 1: 'At least 1 of these 7 statements are true.' - Statement 2: 'At most 2 of these 7 statements are false.' - Statement 3: 'Exactly 4 of these 7 statements are true.' - Statement 4: 'Exactly 3 of these 7 statements are false.' - Statement 5: 'Either Statement 3 or Statement 4 is true, but not both.' - Statement 6: 'The number of true statements is a prime number.' - Statement 7: 'The number of false statements is a composite number.'

rg

70

{"source_dataset": "simple_geometry", "source_index": 0, "n_sides": 4, "known_angles": [50.0, 97.0, 143.0], "sum_of_known_angles": 290.0, "missing_angle_raw": 70.0, "missing_angle_rounded": 70, "total_interior_sum": 360, "difficulty": {"sides": [3, 6]}, "task_name": "RG.simple_geometry", "_question": "Consider a convex 4-gon whose first 3 interior angles are: 50.0\u00b0, 97.0\u00b0, 143.0\u00b0. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.", "_time": 0.00012111663818359375, "_task": "rg", "_level": 0}

Consider a convex 4-gon whose first 3 interior angles are: 50.0°, 97.0°, 143.0°. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.

rg

7*X**9/8 + 3*X**4/4 + 5*X**3 + 3*X + C

{"source_dataset": "simple_integration", "source_index": 0, "integrand": "63*X**8/8 + 3*X**3 + 15*X**2 + 3", "variable": "X", "num_terms": 4, "difficulty": {"terms": [2, 5]}, "task_name": "RG.simple_integration", "_question": "Find the indefinite integral: \u222b 63*X**8/8 + 3*X**3 + 15*X**2 + 3 dx\nWhen performing calculations, please follow these guidelines:\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n", "_time": 0.005067348480224609, "_task": "rg", "_level": 0}

Find the indefinite integral: ∫ 63*X**8/8 + 3*X**3 + 15*X**2 + 3 dx When performing calculations, please follow these guidelines: 1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2. 2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

rg

1 4 4 7 7 6 3 8 1 8 8 0 9 6 7 6

{"source_dataset": "pool_matrix", "source_index": 0, "matrix": [[1, 4, 4, 7], [7, 6, 3, 8], [1, 8, 8, 0], [9, 6, 7, 6]], "pool_type": "max", "pool_size": 1, "solution": [[1, 4, 4, 7], [7, 6, 3, 8], [1, 8, 8, 0], [9, 6, 7, 6]], "rows": 4, "cols": 4, "difficulty": {"rows": [2, 10], "cols": [2, 10], "pool_size": [1, 3]}, "task_name": "RG.pool_matrix", "_question": "Your job is to perform max/average pooling on the given matrix.\nThe stride is equal to the kernel size, meaning there is no overlap between the pooling regions.\n\nYour output should be a matrix in the same format as the input matrix.\nThe output matrix is smaller than the input matrix when the kernel size is greater than 1, and its elements may be floating-point numbers.\nGive elements in the output matrix correct to 2 decimal places.\n\nPerform max pooling on the following matrix with a kernel size of 1:\n1 4 4 7\n7 6 3 8\n1 8 8 0\n9 6 7 6\n", "_time": 0.0002646446228027344, "_task": "rg", "_level": 0}

Your job is to perform max/average pooling on the given matrix. The stride is equal to the kernel size, meaning there is no overlap between the pooling regions. Your output should be a matrix in the same format as the input matrix. The output matrix is smaller than the input matrix when the kernel size is greater than 1, and its elements may be floating-point numbers. Give elements in the output matrix correct to 2 decimal places. Perform max pooling on the following matrix with a kernel size of 1: 1 4 4 7 7 6 3 8 1 8 8 0 9 6 7 6

rg

KNIFER

{"source_dataset": "figlet_font", "source_index": 0, "font": "mcg_____", "space_letters": true, "difficulty": {"word_len": [3, 7]}, "task_name": "RG.figlet_font", "_question": "What word does this say?\n\n ## ### \n ## ## \n ## ## ## ### #### ## ##### ## ### \n ## ### ### ## ## #### ## # ### ## \n ##### ## ## ## ## ####### ## ## \n ## ### ## ## ## ## ## ###### \n ## ## ## ### #### #### ###### ## ## \n \n", "_time": 0.15338802337646484, "_task": "rg", "_level": 0}

What word does this say? ## ### ## ## ## ## ## ### #### ## ##### ## ### ## ### ### ## ## #### ## # ### ## ##### ## ## ## ## ####### ## ## ## ### ## ## ## ## ## ###### ## ## ## ### #### #### ###### ## ##

rg

True

{"source_dataset": "isomorphic_strings", "source_index": 0, "words": ["bb", "ss"], "solution": true, "solvable": true, "string_length": 3, "difficulty": {"string_length": [2, 10]}, "task_name": "RG.isomorphic_strings", "_question": "Two strings are isomorphic if the characters in one string can be replaced to get the second string.\n\nAll occurrences of a character must be replaced with another character while preserving the order of characters.\n\nNo two characters may map to the same character, but a character may map to itself.\n\nReturn True if the following two strings are isomorphic, or False otherwise:\nbb ss\n", "_time": 0.00010919570922851562, "_task": "rg", "_level": 0}

Two strings are isomorphic if the characters in one string can be replaced to get the second string. All occurrences of a character must be replaced with another character while preserving the order of characters. No two characters may map to the same character, but a character may map to itself. Return True if the following two strings are isomorphic, or False otherwise: bb ss

rg

-737*z**3 - 536*z**2 + 913*z + 664

{"source_dataset": "polynomial_multiplication", "source_index": 0, "polynomial_expr": "(83 - 67*z**2)*(11*z + 8)", "variables": ["z"], "difficulty": {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "min_degree": 0, "max_degree": 3, "min_polynomials": 2, "max_polynomials": 3}, "task_name": "RG.polynomial_multiplication", "_question": "Calculate the following: (83 - 67*z**2)*(11*z + 8)\nWhen performing calculations, please follow these guidelines:\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n", "_time": 0.002864360809326172, "_task": "rg", "_level": 0}

Calculate the following: (83 - 67*z**2)*(11*z + 8) When performing calculations, please follow these guidelines: 1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2. 2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

rg

alice

{"source_dataset": "zebra_puzzles", "source_index": 0, "difficulty": {"num_people": 4, "num_characteristics": 4}, "task_name": "RG.zebra_puzzles", "_question": "This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:\n - Each person has a unique name: alice, bob, arnold, carol\n - The people are of nationalities: german, brit, chinese, dane\n - They all have a different favorite flower: iris, lilies, daffodils, carnations\n - People use different phone models: samsung galaxy s21, google pixel 6, oneplus 9, huawei p50\n\n1. The person who uses a Google Pixel 6 is the British person.\n2. The person who loves the boquet of iris is the person who uses a Huawei P50.\n3. Alice is directly left of the person who loves a bouquet of daffodils.\n4. Bob is the British person.\n5. The Chinese is in the first house.\n6. The person who loves a bouquet of daffodils is the person who uses a Samsung Galaxy S21.\n7. The person who loves the boquet of lilies is the Chinese.\n8. The person who uses a Samsung Galaxy S21 is directly left of the person who loves the boquet of iris.\n9. Carol is the person who uses a Huawei P50.\n10. The Dane is Carol.\n\nWhat is Name of the person who lives in House 1?? Provide only the name of the person as your final answer.", "_time": 0.07161450386047363, "_task": "rg", "_level": 0}

This is a logic puzzle. There are 4 houses (numbered 1 on the left, 4 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics: - Each person has a unique name: alice, bob, arnold, carol - The people are of nationalities: german, brit, chinese, dane - They all have a different favorite flower: iris, lilies, daffodils, carnations - People use different phone models: samsung galaxy s21, google pixel 6, oneplus 9, huawei p50 1. The person who uses a Google Pixel 6 is the British person. 2. The person who loves the boquet of iris is the person who uses a Huawei P50. 3. Alice is directly left of the person who loves a bouquet of daffodils. 4. Bob is the British person. 5. The Chinese is in the first house. 6. The person who loves a bouquet of daffodils is the person who uses a Samsung Galaxy S21. 7. The person who loves the boquet of lilies is the Chinese. 8. The person who uses a Samsung Galaxy S21 is directly left of the person who loves the boquet of iris. 9. Carol is the person who uses a Huawei P50. 10. The Dane is Carol. What is Name of the person who lives in House 1?? Provide only the name of the person as your final answer.

rg

6

{"source_dataset": "aiw", "source_index": 0, "task_type": "friends", "difficulty": {"task_type_weights": [0.3333333333333333, 0.3333333333333333, 0.3333333333333333], "num_entities": 6}, "task_name": "RG.aiw", "_question": "Jennifer has 5 male friends and she also has 5 female friends. They all are friends with each other and have no other friends aside. How many female friends does Michael, a male friend of Jennifer, have?", "_time": 0.00010514259338378906, "_task": "rg", "_level": 0}

Jennifer has 5 male friends and she also has 5 female friends. They all are friends with each other and have no other friends aside. How many female friends does Michael, a male friend of Jennifer, have?

rg

Two, city, ideas, know, luminous, painting, provision

{"source_dataset": "word_sorting", "source_index": 0, "original_words": ["provision", "ideas", "painting", "Two", "luminous", "city", "know"], "sorted_words": ["Two", "city", "ideas", "know", "luminous", "painting", "provision"], "transformed_words": ["provision", "ideas", "painting", "Two", "luminous", "city", "know"], "direction": "ascending", "num_words": 7, "word_length": 9, "difficulty": {"num_words": [3, 10], "word_length": [3, 12]}, "task_name": "RG.word_sorting", "_question": "Your task is to sort words in ascending or descending order using ASCII/Unicode ordering.\n\nYour output should be a comma-separated list of words, e.g. word_1, word_2, word_3\n\nNow, sort these words in ascending order (using ASCII/Unicode ordering) and return them as a comma-separated list: provision, ideas, painting, Two, luminous, city, know\n", "_time": 0.0033092498779296875, "_task": "rg", "_level": 0}

Your task is to sort words in ascending or descending order using ASCII/Unicode ordering. Your output should be a comma-separated list of words, e.g. word_1, word_2, word_3 Now, sort these words in ascending order (using ASCII/Unicode ordering) and return them as a comma-separated list: provision, ideas, painting, Two, luminous, city, know

rg

Company, accredited, The, you, full

{"source_dataset": "word_sequence_reversal", "source_index": 0, "num_words": 5, "words": ["full", "you", "The", "accredited", "Company"], "difficulty": {"words": [3, 8]}, "task_name": "RG.word_sequence_reversal", "_question": "Solve the following problem.\n\nProvide you answer as a comma-separated list of words with a space after the comma.\n\nReverse this list of words: full, you, The, accredited, Company\n", "_time": 0.005730628967285156, "_task": "rg", "_level": 0}

Solve the following problem. Provide you answer as a comma-separated list of words with a space after the comma. Reverse this list of words: full, you, The, accredited, Company

rg

[[0,0,1,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,1],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0]]

{"source_dataset": "game_of_life", "source_index": 0, "grid_size_x": 10, "grid_size_y": 10, "filled_cells": 10, "simulation_steps": 1, "difficulty": {"grid_size_x": 10, "grid_size_y": 10, "filled_cells_weights": 0.1, "simulation_steps": 1}, "task_name": "RG.game_of_life", "_question": "What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]])\n\n[[0,1,0,0,0,0,0,0,1,0],\n [0,0,0,0,0,0,0,0,0,1],\n [1,0,0,0,0,0,0,0,0,0],\n [0,0,0,1,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,1],\n [0,0,0,0,1,0,1,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,1,1,0,0,0,0,0,0]].", "_time": 0.007147789001464844, "_task": "rg", "_level": 0}

What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) [[0,1,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,1], [1,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1], [0,0,0,0,1,0,1,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,0,1,1,0,0,0,0,0,0]].

rg

2697

{"source_dataset": "basic_arithmetic", "source_index": 0, "expression": "( 9430 * 9345 + 8616 ) / 1129897 + 2619", "num_terms": 5, "num_digits": 4, "difficulty": {"num_terms": [2, 6], "num_digits": [1, 4]}, "task_name": "RG.basic_arithmetic", "_question": "Calculate ( 9430 * 9345 + 8616 ) / 1129897 + 2619.", "_time": 0.0007138252258300781, "_task": "rg", "_level": 0}

Calculate ( 9430 * 9345 + 8616 ) / 1129897 + 2619.

rg

False

{"source_dataset": "ransom_note", "source_index": 0, "ransom_note": "gdcuigwxv", "magazine": "wdvgmxguc", "solution": false, "solvable": false, "note_length": 9, "magazine_length": 9, "difficulty": {"note_length": [1, 10], "magazine_length": [2, 30]}, "task_name": "RG.ransom_note", "_question": "Given two strings representing a ransom note and a magazine, return True if you can construct the ransom note using the letters in the magazine, and False otherwise.\n\nEach letter in the magazine string can only be used once in your ransom note.\n\nRansom note: gdcuigwxv\nMagazine: wdvgmxguc\n", "_time": 0.0001163482666015625, "_task": "rg", "_level": 0}

Given two strings representing a ransom note and a magazine, return True if you can construct the ransom note using the letters in the magazine, and False otherwise. Each letter in the magazine string can only be used once in your ransom note. Ransom note: gdcuigwxv Magazine: wdvgmxguc

rg

["w,D3,C1", "B,B2,D3", "w,C1,B3", "B,D1,B2", "w,B3,D2", "B,D3,C1", "w,D2,B1", "B,C1,B3", "w,C3,D1", "B,B3,D2", "w,B1,C3", "B,B2,D3", "w,D1,B2", "B,D2,B1", "w,C3,D1", "B,B1,C3"]

{"source_dataset": "knight_swap", "source_index": 0, "board": {"D3": ["B2", "C1"], "C3": ["B1", "D1"], "D1": ["B2", "C3"], "B1": ["C3", "D2"], "D2": ["B1", "B3"], "B2": ["D1", "D3"], "C1": ["B3", "D3"], "B3": ["C1", "D2"]}, "pieces": {"D3": "w", "C3": "w", "D1": "B", "B1": null, "D2": null, "B2": "B", "C1": null, "B3": null}, "start_turn": "w", "solution": [["w", "D3", "C1"], ["B", "B2", "D3"], ["w", "C1", "B3"], ["B", "D1", "B2"], ["w", "B3", "D2"], ["B", "D3", "C1"], ["w", "D2", "B1"], ["B", "C1", "B3"], ["w", "C3", "D1"], ["B", "B3", "D2"], ["w", "B1", "C3"], ["B", "B2", "D3"], ["w", "D1", "B2"], ["B", "D2", "B1"], ["w", "C3", "D1"], ["B", "B1", "C3"]], "is_possible": true, "num_steps": 16, "board_states": [{"D3": "w", "C3": "w", "D1": "B", "B1": null, "D2": null, "B2": "B", "C1": null, "B3": null}, {"D3": null, "C3": "w", "D1": "B", "B1": null, "D2": null, "B2": "B", "C1": "w", "B3": null}, {"D3": "B", "C3": "w", "D1": "B", "B1": null, "D2": null, "B2": null, "C1": "w", "B3": null}, {"D3": "B", "C3": "w", "D1": "B", "B1": null, "D2": null, "B2": null, "C1": null, "B3": "w"}, {"D3": "B", "C3": "w", "D1": null, "B1": null, "D2": null, "B2": "B", "C1": null, "B3": "w"}, {"D3": "B", "C3": "w", "D1": null, "B1": null, "D2": "w", "B2": "B", "C1": null, "B3": null}, {"D3": null, "C3": "w", "D1": null, "B1": null, "D2": "w", "B2": "B", "C1": "B", "B3": null}, {"D3": null, "C3": "w", "D1": null, "B1": "w", "D2": null, "B2": "B", "C1": "B", "B3": null}, {"D3": null, "C3": "w", "D1": null, "B1": "w", "D2": null, "B2": "B", "C1": null, "B3": "B"}, {"D3": null, "C3": null, "D1": "w", "B1": "w", "D2": null, "B2": "B", "C1": null, "B3": "B"}, {"D3": null, "C3": null, "D1": "w", "B1": "w", "D2": "B", "B2": "B", "C1": null, "B3": null}, {"D3": null, "C3": "w", "D1": "w", "B1": null, "D2": "B", "B2": "B", "C1": null, "B3": null}, {"D3": "B", "C3": "w", "D1": "w", "B1": null, "D2": "B", "B2": null, "C1": null, "B3": null}, {"D3": "B", "C3": "w", "D1": null, "B1": null, "D2": "B", "B2": "w", "C1": null, "B3": null}, {"D3": "B", "C3": "w", "D1": null, "B1": "B", "D2": null, "B2": "w", "C1": null, "B3": null}, {"D3": "B", "C3": null, "D1": "w", "B1": "B", "D2": null, "B2": "w", "C1": null, "B3": null}, {"D3": "B", "C3": "B", "D1": "w", "B1": null, "D2": null, "B2": "w", "C1": null, "B3": null}], "difficulty": {"nodes": [6, 9], "pieces": [2, 2], "steps": [4, 20]}, "task_name": "RG.knight_swap", "_question": "Knight Swap Challenge:\n\n```\n B C D\n ------------\n3 | . | w | w |\n ------------\n2 | B | | . |\n ------------\n1 | . | . | B |\n ------------\n```\n\nLegend:\n- 'w' = White Knight\n- 'B' = Black Knight\n- Empty squares are marked with '.'\n\nObjective:\nSwap the positions of all white knights with all black knights through valid moves.\n\nRules:\n1. Knights move in L-shape (2 squares + 1 square perpendicular)\n2. Knights can only move to empty squares\n3. w moves first, then players alternate\n4. All knights must reach their target positions (white \u2194 black)\n\nQuestion:\nIs it possible to swap all knights' positions? If yes, list the moves.\n\nAnswer Format:\n- For impossible puzzles: \"No\"\n- For possible puzzles: List moves as [\"color,from,to\", ...]\n Example: [\"w,A1,B3\"] means white knight moves A1\u2192B3\n", "_time": 0.099822998046875, "_task": "rg", "_level": 0}

Knight Swap Challenge: ``` B C D ------------ 3 | . | w | w | ------------ 2 | B | | . | ------------ 1 | . | . | B | ------------ ``` Legend: - 'w' = White Knight - 'B' = Black Knight - Empty squares are marked with '.' Objective: Swap the positions of all white knights with all black knights through valid moves. Rules: 1. Knights move in L-shape (2 squares + 1 square perpendicular) 2. Knights can only move to empty squares 3. w moves first, then players alternate 4. All knights must reach their target positions (white ↔ black) Question: Is it possible to swap all knights' positions? If yes, list the moves. Answer Format: - For impossible puzzles: "No" - For possible puzzles: List moves as ["color,from,to", ...] Example: ["w,A1,B3"] means white knight moves A1→B3

rg

[66]

{"source_dataset": "list_functions", "source_index": 0, "task_name": "RG.list_functions", "_question": "You are an expert at inductive reasoning. Generate an output corresponding to the given input.\nThe output is generated by applying the same rule that maps input to output for the examples provided. Your answer should be a list of element/elements\nExamples:\nInput 1: [18, 62, 56, 81]\nOutput 1: [56]\nInput 2: [77, 50, 88, 35, 54, 37, 38]\nOutput 2: [88]\nInput 3: [96, 49, 54, 40]\nOutput 3: [54]\nInput 4: [86, 55, 66, 29, 75, 100, 60, 56]\nOutput 4: [66]\n\n\nInput: [75, 100, 66, 85, 99, 46, 56, 37, 65, 4]\nOutput:\n", "_time": 0.00017571449279785156, "_task": "rg", "_level": 0}

You are an expert at inductive reasoning. Generate an output corresponding to the given input. The output is generated by applying the same rule that maps input to output for the examples provided. Your answer should be a list of element/elements Examples: Input 1: [18, 62, 56, 81] Output 1: [56] Input 2: [77, 50, 88, 35, 54, 37, 38] Output 2: [88] Input 3: [96, 49, 54, 40] Output 3: [54] Input 4: [86, 55, 66, 29, 75, 100, 60, 56] Output 4: [66] Input: [75, 100, 66, 85, 99, 46, 56, 37, 65, 4] Output:

rg

thtojotht

{"source_dataset": "palindrome_generation", "source_index": 0, "letters": ["o", "o", "t", "h", "t", "t", "h", "j", "t"], "generated_palindrome": "thtojotht", "length": 9, "difficulty": {"length": [3, 10]}, "task_name": "RG.palindrome_generation", "_question": "Your task is, given a list of letters, to form a valid palindrome.\n\nA palindrome is a phrase that reads the same forwards and backwards.\n\nIf there are multiple possible answers, only respond with one of them. You must use all the letters provided.\n\nYour output should be a single string, with no spaces or punctuation.\n\nNow, form a valid palindrome using the following letters: o, o, t, h, t, t, h, j, t\n", "_time": 9.250640869140625e-05, "_task": "rg", "_level": 0}

Your task is, given a list of letters, to form a valid palindrome. A palindrome is a phrase that reads the same forwards and backwards. If there are multiple possible answers, only respond with one of them. You must use all the letters provided. Your output should be a single string, with no spaces or punctuation. Now, form a valid palindrome using the following letters: o, o, t, h, t, t, h, j, t

rg

people in all walks of life

{"source_dataset": "letter_jumble", "source_index": 0, "num_words": 6, "corruption_level": 0.2507840885199677, "scrambled_words": ["people", "ni", "all", "wlaks", "fo", "ilfe"], "original_words": ["people", "in", "all", "walks", "of", "life"], "difficulty": {"word_len": [1, 64], "words": [3, 20], "corruption_level": [0.1, 0.9]}, "task_name": "RG.letter_jumble", "_question": "Your task is to unsramble words in a sentence.\n\nFor each word in a sentence, the letter may have been randomly shuffled. Your task is to unscramble the words.\n\nThe order of the words in the sentence is preserved. Moreover, the style of the sentence is preserved (i.e. punctuation, capitalization, new lines, etc.).\n\nYour output should be a sentence with the words unscrambled.\n\nNow, unscramble these words: people ni all wlaks fo ilfe\n", "_time": 0.002809762954711914, "_task": "rg", "_level": 0}

Your task is to unsramble words in a sentence. For each word in a sentence, the letter may have been randomly shuffled. Your task is to unscramble the words. The order of the words in the sentence is preserved. Moreover, the style of the sentence is preserved (i.e. punctuation, capitalization, new lines, etc.). Your output should be a sentence with the words unscrambled. Now, unscramble these words: people ni all wlaks fo ilfe

rg

Pass

{"source_dataset": "mahjong_puzzle", "source_index": 0, "rounds": [{"add": "I", "remove": "V", "cards": "BMCVFUNQIIPEI", "result": "Peng"}, {"add": "G", "remove": "E", "cards": "BMCVFUNQIIPIG", "result": "Pass"}, {"add": "C", "remove": "G", "cards": "BMCVFUNQIIPIC", "result": "Pass"}, {"add": "C", "remove": "U", "cards": "BMCVFNQIIPICC", "result": "Peng"}, {"add": "A", "remove": "N", "cards": "BMCVFQIIPICCA", "result": "Pass"}, {"add": "I", "remove": "I", "cards": "BMCVFQIPICCAI", "result": "Peng"}, {"add": "O", "remove": "C", "cards": "BMVFQIPICCAIO", "result": "Pass"}, {"add": "P", "remove": "C", "cards": "BMVFQIPICAIOP", "result": "Pass"}, {"add": "B", "remove": "C", "cards": "BMVFQIPIAIOPB", "result": "Pass"}, {"add": "I", "remove": "I", "cards": "BMVFQPIAIOPBI", "result": "Peng"}, {"add": "N", "remove": "Q", "cards": "BMVFPIAIOPBIN", "result": "Chi"}, {"add": "B", "remove": "F", "cards": "BMVPIAIOPBINB", "result": "Peng"}, {"add": "I", "remove": "N", "cards": "BMVPIAIOPBIBI", "result": "Peng"}, {"add": "I", "remove": "I", "cards": "BMVPAIOPBIBII", "result": "Peng"}, {"add": "N", "remove": "I", "cards": "BMVPAOPBIBIIN", "result": "Chi"}, {"add": "D", "remove": "A", "cards": "BMVPOPBIBIIND", "result": "Pass"}, {"add": "M", "remove": "I", "cards": "BMVPOPBBIINDM", "result": "Chi"}, {"add": "O", "remove": "B", "cards": "MVPOPBBIINDMO", "result": "Chi"}, {"add": "Y", "remove": "M", "cards": "VPOPBBIINDMOY", "result": "Pass"}, {"add": "B", "remove": "Y", "cards": "VPOPBBIINDMOB", "result": "Peng"}, {"add": "O", "remove": "M", "cards": "VPOPBBIINDOBO", "result": "Peng"}, {"add": "P", "remove": "N", "cards": "VPOPBBIIDOBOP", "result": "Peng"}, {"add": "O", "remove": "B", "cards": "VPOPBIIDOBOPO", "result": "Pass"}, {"add": "C", "remove": "P", "cards": "VOPBIIDOBOPOC", "result": "Chi"}, {"add": "I", "remove": "B", "cards": "VOPIIDOBOPOCI", "result": "Peng"}, {"add": "F", "remove": "C", "cards": "VOPIIDOBOPOIF", "result": "Pass"}], "solution": "Pass", "difficulty": {"num_rounds": [10, 50]}, "task_name": "RG.mahjong_puzzle", "_question": "There are several letter cards, and the game rules are as follows:\n1. Initially, there are 13 cards.\n2. Each time, a new card is added, and a result is determined. Then, one card is removed.\n3. When there are two identical cards in hand, and the newly added card is the same as these two cards, the result is determined as \"Peng\".\n4. If there are two cards in hand such that the new card can form a consecutive letter sequence with these two cards, the result is determined as \"Chi\". For example: ABC, BCD, CDE, etc.\n5. If the new card does not meet the conditions of 3 and 4, the result is determined as \"Pass\".\n6. \"Peng\" takes precedence over \"Chi\".\n7. The card that is removed does not affect the result determination of the current round.\n\nYour output should be one of the following: \"Peng\", \"Chi\", or \"Pass\" (without quotes).\n\nNow, given the initial cards VBMCVFUNQIIPE, what is the result at the end of performing the following rounds of operations:\nRound 1: Add an I card and remove a V card.\nRound 2: Add a G card and remove an E card.\nRound 3: Add a C card and remove a G card.\nRound 4: Add a C card and remove an U card.\nRound 5: Add an A card and remove a N card.\nRound 6: Add an I card and remove an I card.\nRound 7: Add an O card and remove a C card.\nRound 8: Add a P card and remove a C card.\nRound 9: Add a B card and remove a C card.\nRound 10: Add an I card and remove an I card.\nRound 11: Add a N card and remove a Q card.\nRound 12: Add a B card and remove a F card.\nRound 13: Add an I card and remove a N card.\nRound 14: Add an I card and remove an I card.\nRound 15: Add a N card and remove an I card.\nRound 16: Add a D card and remove an A card.\nRound 17: Add a M card and remove an I card.\nRound 18: Add an O card and remove a B card.\nRound 19: Add a Y card and remove a M card.\nRound 20: Add a B card and remove a Y card.\nRound 21: Add an O card and remove a M card.\nRound 22: Add a P card and remove a N card.\nRound 23: Add an O card and remove a B card.\nRound 24: Add a C card and remove a P card.\nRound 25: Add an I card and remove a B card.\nRound 26: Add a F card and remove a C card.\n", "_time": 0.0008041858673095703, "_task": "rg", "_level": 0}

There are several letter cards, and the game rules are as follows: 1. Initially, there are 13 cards. 2. Each time, a new card is added, and a result is determined. Then, one card is removed. 3. When there are two identical cards in hand, and the newly added card is the same as these two cards, the result is determined as "Peng". 4. If there are two cards in hand such that the new card can form a consecutive letter sequence with these two cards, the result is determined as "Chi". For example: ABC, BCD, CDE, etc. 5. If the new card does not meet the conditions of 3 and 4, the result is determined as "Pass". 6. "Peng" takes precedence over "Chi". 7. The card that is removed does not affect the result determination of the current round. Your output should be one of the following: "Peng", "Chi", or "Pass" (without quotes). Now, given the initial cards VBMCVFUNQIIPE, what is the result at the end of performing the following rounds of operations: Round 1: Add an I card and remove a V card. Round 2: Add a G card and remove an E card. Round 3: Add a C card and remove a G card. Round 4: Add a C card and remove an U card. Round 5: Add an A card and remove a N card. Round 6: Add an I card and remove an I card. Round 7: Add an O card and remove a C card. Round 8: Add a P card and remove a C card. Round 9: Add a B card and remove a C card. Round 10: Add an I card and remove an I card. Round 11: Add a N card and remove a Q card. Round 12: Add a B card and remove a F card. Round 13: Add an I card and remove a N card. Round 14: Add an I card and remove an I card. Round 15: Add a N card and remove an I card. Round 16: Add a D card and remove an A card. Round 17: Add a M card and remove an I card. Round 18: Add an O card and remove a B card. Round 19: Add a Y card and remove a M card. Round 20: Add a B card and remove a Y card. Round 21: Add an O card and remove a M card. Round 22: Add a P card and remove a N card. Round 23: Add an O card and remove a B card. Round 24: Add a C card and remove a P card. Round 25: Add an I card and remove a B card. Round 26: Add a F card and remove a C card.

rg

None

{"source_dataset": "rush_hour", "source_index": 0, "board_config": "ooooooooBBooAAoDoooooDoooCCCoooooooo", "min_moves": 3, "difficulty": {"moves": [1, 50]}, "task_name": "RG.rush_hour", "_question": "Move the red car (AA) to the exit on the right.\nSpecify moves in the format: 'F+1 K+1 M-1 C+3 H+2 ...'\nwhere the letter is the vehicle and +/- number is spaces to move right/left or down/up.\nWalls are marked with an 'x'. Cars cannot move through walls, and walls cannot be moved.\nA car oriented vertically can only move up and down, a car oriented horizontally can only move left and right.\n\nBoard:\n......\n..BB..\nAA.D..\n...D..\n.CCC..\n......\n", "_time": 0.0094757080078125, "_task": "rg", "_level": 0}

Move the red car (AA) to the exit on the right. Specify moves in the format: 'F+1 K+1 M-1 C+3 H+2 ...' where the letter is the vehicle and +/- number is spaces to move right/left or down/up. Walls are marked with an 'x'. Cars cannot move through walls, and walls cannot be moved. A car oriented vertically can only move up and down, a car oriented horizontally can only move left and right. Board: ...... ..BB.. AA.D.. ...D.. .CCC.. ......

rg

9 8 9 9 9 8

{"source_dataset": "pool_matrix", "source_index": 0, "matrix": [[8, 9, 3, 3, 4, 5, 9, 3, 1], [8, 4, 0, 5, 3, 8, 7, 8, 0], [6, 6, 4, 0, 8, 6, 4, 0, 5], [4, 3, 4, 7, 9, 1, 8, 7, 6], [6, 9, 1, 5, 4, 7, 4, 2, 8]], "pool_type": "max", "pool_size": 3, "solution": [[9, 8, 9], [9, 9, 8]], "rows": 5, "cols": 9, "difficulty": {"rows": [2, 10], "cols": [2, 10], "pool_size": [1, 3]}, "task_name": "RG.pool_matrix", "_question": "Your job is to perform max/average pooling on the given matrix.\nThe stride is equal to the kernel size, meaning there is no overlap between the pooling regions.\n\nYour output should be a matrix in the same format as the input matrix.\nThe output matrix is smaller than the input matrix when the kernel size is greater than 1, and its elements may be floating-point numbers.\nGive elements in the output matrix correct to 2 decimal places.\n\nPerform max pooling on the following matrix with a kernel size of 3:\n8 9 3 3 4 5 9 3 1\n8 4 0 5 3 8 7 8 0\n6 6 4 0 8 6 4 0 5\n4 3 4 7 9 1 8 7 6\n6 9 1 5 4 7 4 2 8\n", "_time": 0.0002582073211669922, "_task": "rg", "_level": 0}

Your job is to perform max/average pooling on the given matrix. The stride is equal to the kernel size, meaning there is no overlap between the pooling regions. Your output should be a matrix in the same format as the input matrix. The output matrix is smaller than the input matrix when the kernel size is greater than 1, and its elements may be floating-point numbers. Give elements in the output matrix correct to 2 decimal places. Perform max pooling on the following matrix with a kernel size of 3: 8 9 3 3 4 5 9 3 1 8 4 0 5 3 8 7 8 0 6 6 4 0 8 6 4 0 5 4 3 4 7 9 1 8 7 6 6 9 1 5 4 7 4 2 8

rg

1989.856

{"source_dataset": "decimal_chain_sum", "source_index": 0, "num_terms": 3, "num_digits": 3, "expression": "533.8 + 607.4 + 848.656", "difficulty": {"num_terms": [2, 6], "num_digits": [1, 4], "decimal_places": [1, 4]}, "task_name": "RG.decimal_chain_sum", "_question": "State the final answer to the following arithmetic problem: 533.8 + 607.4 + 848.656 =", "_time": 0.00010824203491210938, "_task": "rg", "_level": 0}

State the final answer to the following arithmetic problem: 533.8 + 607.4 + 848.656 =

rg

#A #A #A B# B# B#

{"source_dataset": "ab", "source_index": 0, "difficulty": {"length": 10}, "task_name": "RG.ab", "_question": "A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.\n\nAn A::B program is a sequence of tokens. Example:\n\n B# A# #B #A B#\n\nTo *compute* a program, we must rewrite neighbor tokens, using the rules:\n\n A# #A ... becomes ... nothing\n A# #B ... becomes ... #B A#\n B# #A ... becomes ... #A B#\n B# #B ... becomes ... nothing\n\nIn other words, whenever two neighbor tokens have their '#' facing each-other,\nthey must be rewritten according to the corresponding rule.\n\nNow, consider the following program:\n\nB# B# B# #B A# #A B# #A #A #A\n\nReturn the final state of the program.\n", "_time": 0.00010633468627929688, "_task": "rg", "_level": 0}

A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`. An A::B program is a sequence of tokens. Example: B# A# #B #A B# To *compute* a program, we must rewrite neighbor tokens, using the rules: A# #A ... becomes ... nothing A# #B ... becomes ... #B A# B# #A ... becomes ... #A B# B# #B ... becomes ... nothing In other words, whenever two neighbor tokens have their '#' facing each-other, they must be rewritten according to the corresponding rule. Now, consider the following program: B# B# B# #B A# #A B# #A #A #A Return the final state of the program.

rg

[2, -4, 5, -33, -41, -82, 35, -15, 73, 18, -20, 35, -97, 88, 81, -83, 24, -21, 31, 27, 88, 63, 27, 83, -15]

{"source_dataset": "codeio", "source_index": 0, "input_data": {"data": [[[[2, -4, 5]], [[-33, -41]]], [[[-82, 35]]], [[[-15, 73, 18], [-20, 35, -97], [88, 81, -83]], [[24, -21, 31]], [[27], [88, 63], [27, 83, -15]]]]}, "output_data": [2, -4, 5, -33, -41, -82, 35, -15, 73, 18, -20, 35, -97, 88, 81, -83, 24, -21, 31, 27, 88, 63, 27, 83, -15], "difficulty": {"difficulty": null}, "task_name": "RG.codeio", "_question": "\nYou are given a question that requires some input and output variables as follows:\n\nGiven a multi-dimensional array or any other JSON serializable type, how can we transform it into a single-dimensional array where all elements are in a flat list? Specifically, what is the flattened version of the given `data`?\n\nThe input and output requirements are as follows:\n\nInput:\n `data` (list or any other JSON serializable type): The input data which can be a multi-dimensional array or any other JSON serializable type. If it is not a list, it will be treated as a 0-dimensional array.\n\nOutput:\n `return` (list): The flattened version of the input data, where all elements are in a single-dimensional list.\n\nGiven the following input:\n\n{'data': [[[[2, -4, 5]], [[-33, -41]]], [[[-82, 35]]], [[[-15, 73, 18], [-20, 35, -97], [88, 81, -83]], [[24, -21, 31]], [[27], [88, 63], [27, 83, -15]]]]}\n\nCan you predict the output without writing any code? Please think and then provide the exact output in the form of a JSON object as your final answer. The keys and values of the object should strictly match the output requirement as specified.\n\nTip: Here is a reference code snippet for this question. You can refer to this code to guide your reasoning but not copy spans of code directly.\n\n# import necessary packages\nimport random\n\n# all class and function definitions in the code file, if any\ndef flatten(arr):\n new_arr = []\n if type(arr) is not list:\n return []\n else:\n for n in arr:\n if type(n) is list:\n new_arr += flatten(n)\n else:\n new_arr.append(n)\n return new_arr\n\n# main function\ndef main_solution(data):\n # Convert the input data to a list if it is not already\n if type(data) is not list:\n data = [data]\n \n # Flatten the array\n flattened_array = flatten(data)\n \n # Return the flattened array as a list\n return flattened_array\n", "_time": 0.08086800575256348, "_task": "rg", "_level": 0}

You are given a question that requires some input and output variables as follows: Given a multi-dimensional array or any other JSON serializable type, how can we transform it into a single-dimensional array where all elements are in a flat list? Specifically, what is the flattened version of the given `data`? The input and output requirements are as follows: Input: `data` (list or any other JSON serializable type): The input data which can be a multi-dimensional array or any other JSON serializable type. If it is not a list, it will be treated as a 0-dimensional array. Output: `return` (list): The flattened version of the input data, where all elements are in a single-dimensional list. Given the following input: {'data': [[[[2, -4, 5]], [[-33, -41]]], [[[-82, 35]]], [[[-15, 73, 18], [-20, 35, -97], [88, 81, -83]], [[24, -21, 31]], [[27], [88, 63], [27, 83, -15]]]]} Can you predict the output without writing any code? Please think and then provide the exact output in the form of a JSON object as your final answer. The keys and values of the object should strictly match the output requirement as specified. Tip: Here is a reference code snippet for this question. You can refer to this code to guide your reasoning but not copy spans of code directly. # import necessary packages import random # all class and function definitions in the code file, if any def flatten(arr): new_arr = [] if type(arr) is not list: return [] else: for n in arr: if type(n) is list: new_arr += flatten(n) else: new_arr.append(n) return new_arr # main function def main_solution(data): # Convert the input data to a list if it is not already if type(data) is not list: data = [data] # Flatten the array flattened_array = flatten(data) # Return the flattened array as a list return flattened_array

rg

-256*x**5/5 - 320*x**4 - 800*x**3 - 1000*x**2 - 625*x + C

{"source_dataset": "intermediate_integration", "source_index": 0, "integrand": "-(4*x + 5)**4", "problem_type": "linear", "variable": "x", "difficulty": {"problem_type_weights": [0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125, 0.125]}, "task_name": "RG.intermediate_integration", "_question": "Evaluate the indefinite integral: \u222b -(4*x + 5)**4 dx\nWhen performing calculations, please follow these guidelines:\nUse same variable symbols as given in the question\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n3. Use `exp(x)` or `E**(x)` for the exponential function (i.e. use capital E for Euler's number).\n", "_time": 0.0069043636322021484, "_task": "rg", "_level": 0}

Evaluate the indefinite integral: ∫ -(4*x + 5)**4 dx When performing calculations, please follow these guidelines: Use same variable symbols as given in the question 1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2. 2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`. 3. Use `exp(x)` or `E**(x)` for the exponential function (i.e. use capital E for Euler's number).

rg

3 2 4 1 4 1 3 2 2 4 1 3 1 3 2 4

{"source_dataset": "mini_sudoku", "source_index": 0, "puzzle": [[3, 2, 0, 0], [0, 1, 0, 0], [2, 4, 1, 0], [0, 0, 0, 0]], "solution": [[3, 2, 4, 1], [4, 1, 3, 2], [2, 4, 1, 3], [1, 3, 2, 4]], "num_empty": 10, "difficulty": {"empty": [8, 12]}, "task_name": "RG.mini_sudoku", "_question": "In 4x4 Mini Sudoku:\n- Each row must contain each number from 1-4 exactly once\n- Each column must contain each number 1-4 exactly once\n- Each 2x2 subgrid must contain each number 1-4 exactly once\nSolve this 4x4 Mini Sudoku puzzle:\n3 2 _ _\n_ 1 _ _\n2 4 1 _\n_ _ _ _\nFormat your response as the puzzle above, with spaces separating each number within a row, and newlines separating rows.\n", "_time": 0.0005781650543212891, "_task": "rg", "_level": 0}

In 4x4 Mini Sudoku: - Each row must contain each number from 1-4 exactly once - Each column must contain each number 1-4 exactly once - Each 2x2 subgrid must contain each number 1-4 exactly once Solve this 4x4 Mini Sudoku puzzle: 3 2 _ _ _ 1 _ _ 2 4 1 _ _ _ _ _ Format your response as the puzzle above, with spaces separating each number within a row, and newlines separating rows.

rg

-12.0 - 4.0i

{"source_dataset": "complex_arithmetic", "source_index": 0, "num1": [-5.0, -5.0], "num2": [7.0, -1.0], "operation": "-", "result": [-12, -4], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}, "task_name": "RG.complex_arithmetic", "_question": "Subtract the complex numbers: (-5.0 - 5.0i) - (7.0 - 1.0i)", "_time": 0.00012373924255371094, "_task": "rg", "_level": 0}

Subtract the complex numbers: (-5.0 - 5.0i) - (7.0 - 1.0i)

rg

-1.0 - 13.0i

{"source_dataset": "complex_arithmetic", "source_index": 0, "num1": [-3.0, -8.0], "num2": [-2.0, 5.0], "operation": "-", "result": [-1, -13], "difficulty": {"min_real": -10, "max_real": 10, "min_imag": -10, "max_imag": 10, "operations_weights": [0.4, 0.4, 0.1, 0.1]}, "task_name": "RG.complex_arithmetic", "_question": "Subtract the complex numbers: (-3.0 - 8.0i) - (-2.0 + 5.0i)", "_time": 0.00011444091796875, "_task": "rg", "_level": 0}

Subtract the complex numbers: (-3.0 - 8.0i) - (-2.0 + 5.0i)

rg

DLLUURULRRDDULLDR

{"source_dataset": "sokoban", "source_index": 0, "gamestr": "+ + + + + + \n+ X - - - + \n+ - - - @ + \n+ - @ @ % + \n+ - - - $ + \n+ + + $ X + \n+ + + + + + \n+ + + + + + \n\n", "width": 6, "height": 8, "difficulty": {"width": [6, 10], "height": [6, 10]}, "task_name": "RG.sokoban", "_question": "You are going to solve a 'sokoban' puzzle.\n\n* - The player\n% - The player on a goal\n@ - A box\nX - A goal\n$ - A box on a goal\n+ - A wall\n- - An empty position\n\nYour solution must be a string of characters, ex: LDURRUDL.\n\nHere is your puzzle:\n+ + + + + + \n+ X - - - + \n+ - - - @ + \n+ - @ @ % + \n+ - - - $ + \n+ + + $ X + \n+ + + + + + \n+ + + + + + \n\n", "_time": 0.0029244422912597656, "_task": "rg", "_level": 0}

You are going to solve a 'sokoban' puzzle. * - The player % - The player on a goal @ - A box X - A goal $ - A box on a goal + - A wall - - An empty position Your solution must be a string of characters, ex: LDURRUDL. Here is your puzzle: + + + + + + + X - - - + + - - - @ + + - @ @ % + + - - - $ + + + + $ X + + + + + + + + + + + + +

rg

3

{"source_dataset": "letter_counting", "source_index": 0, "span_length": 9, "target_letter": "v", "span": ["will", "you", "arrive", "About", "eleven", "I", "suppose", "Eleven", "by"], "difficulty": {"words": [5, 15]}, "task_name": "RG.letter_counting", "_question": "How many times does the letter \"v\" appear in the text: \"will you arrive About eleven I suppose Eleven by\"?", "_time": 0.0022449493408203125, "_task": "rg", "_level": 0}

How many times does the letter "v" appear in the text: "will you arrive About eleven I suppose Eleven by"?

rg

-1

{"source_dataset": "number_sequence", "source_index": 0, "rule": "halve", "complexity": 1, "sequence": [-7, -4, -2, -1, -1], "difficulty": {"max_complexity": 3, "terms": [4, 8]}, "task_name": "RG.number_sequence", "_question": "-7, -4, -2, -1, ?", "_time": 0.00016117095947265625, "_task": "rg", "_level": 0}

-7, -4, -2, -1, ?

rg

amreZ

{"source_dataset": "spell_backward", "source_index": 0, "word": "Zerma", "word_len": 5, "difficulty": {"word_len": [3, 10]}, "task_name": "RG.spell_backward", "_question": "Spell this word backward (example: sun -> nus): Zerma", "_time": 0.024265766143798828, "_task": "rg", "_level": 0}

Spell this word backward (example: sun -> nus): Zerma

rg

False

{"source_dataset": "course_schedule", "source_index": 0, "courses": [6, 2, 0, 5, 1, 8, 7, 3, 4], "prerequisites": [[0, 6], [5, 3], [0, 5], [3, 2], [7, 1], [5, 2], [2, 6], [3, 0], [0, 2], [1, 2], [5, 0], [4, 2], [8, 0], [4, 5]], "solution": false, "solvable": false, "difficulty": {"num_courses": [5, 10], "num_prerequisites": [1, 2], "cycle_length": [3, 5]}, "task_name": "RG.course_schedule", "_question": "There are a total of 9 courses you have to take, labeled from 0 to 8.\n\nYou are given the following list of prerequisites, where prerequisites[i] = (a_i, b_i) indicates that you must first take course b_i if you want to take course a_i:\n[(0, 6), (5, 3), (0, 5), (3, 2), (7, 1), (5, 2), (2, 6), (3, 0), (0, 2), (1, 2), (5, 0), (4, 2), (8, 0), (4, 5)]\n\nReturn True if you can finish all courses considering the prerequisites, or False otherwise.\n", "_time": 0.00017118453979492188, "_task": "rg", "_level": 0}

There are a total of 9 courses you have to take, labeled from 0 to 8. You are given the following list of prerequisites, where prerequisites[i] = (a_i, b_i) indicates that you must first take course b_i if you want to take course a_i: [(0, 6), (5, 3), (0, 5), (3, 2), (7, 1), (5, 2), (2, 6), (3, 0), (0, 2), (1, 2), (5, 0), (4, 2), (8, 0), (4, 5)] Return True if you can finish all courses considering the prerequisites, or False otherwise.

rg

Well, then, look at the plenipotentiaries of all nations and our own ministers themselves crowding about his door, entreating his counsels, begging for his approbation, imploring the aid of his all-powerful organ.

{"source_dataset": "emoji_mystery", "source_index": 0, "emoji": "\ud83e\udd71", "num_words_in_sentence": 33, "difficulty": {"num_words_in_sentence": [3, 35]}, "task_name": "RG.emoji_mystery", "_question": "The following emoji is encoded with a sentence.\n\nDecode the following sentence from the emoji: \ud83e\udd71\udb40\udd47\udb40\udd55\udb40\udd5c\udb40\udd5c\udb40\udd1c\udb40\udd10\udb40\udd64\udb40\udd58\udb40\udd55\udb40\udd5e\udb40\udd1c\udb40\udd10\udb40\udd5c\udb40\udd5f\udb40\udd5f\udb40\udd5b\udb40\udd10\udb40\udd51\udb40\udd64\udb40\udd10\udb40\udd64\udb40\udd58\udb40\udd55\udb40\udd10\udb40\udd60\udb40\udd5c\udb40\udd55\udb40\udd5e\udb40\udd59\udb40\udd60\udb40\udd5f\udb40\udd64\udb40\udd55\udb40\udd5e\udb40\udd64\udb40\udd59\udb40\udd51\udb40\udd62\udb40\udd59\udb40\udd55\udb40\udd63\udb40\udd10\udb40\udd5f\udb40\udd56\udb40\udd10\udb40\udd51\udb40\udd5c\udb40\udd5c\udb40\udd10\udb40\udd5e\udb40\udd51\udb40\udd64\udb40\udd59\udb40\udd5f\udb40\udd5e\udb40\udd63\udb40\udd10\udb40\udd51\udb40\udd5e\udb40\udd54\udb40\udd10\udb40\udd5f\udb40\udd65\udb40\udd62\udb40\udd10\udb40\udd5f\udb40\udd67\udb40\udd5e\udb40\udd10\udb40\udd5d\udb40\udd59\udb40\udd5e\udb40\udd59\udb40\udd63\udb40\udd64\udb40\udd55\udb40\udd62\udb40\udd63\udb40\udd10\udb40\udd64\udb40\udd58\udb40\udd55\udb40\udd5d\udb40\udd63\udb40\udd55\udb40\udd5c\udb40\udd66\udb40\udd55\udb40\udd63\udb40\udd10\udb40\udd53\udb40\udd62\udb40\udd5f\udb40\udd67\udb40\udd54\udb40\udd59\udb40\udd5e\udb40\udd57\udb40\udd10\udb40\udd51\udb40\udd52\udb40\udd5f\udb40\udd65\udb40\udd64\udb40\udd10\udb40\udd58\udb40\udd59\udb40\udd63\udb40\udd10\udb40\udd54\udb40\udd5f\udb40\udd5f\udb40\udd62\udb40\udd1c\udb40\udd10\udb40\udd55\udb40\udd5e\udb40\udd64\udb40\udd62\udb40\udd55\udb40\udd51\udb40\udd64\udb40\udd59\udb40\udd5e\udb40\udd57\udb40\udd10\udb40\udd58\udb40\udd59\udb40\udd63\udb40\udd10\udb40\udd53\udb40\udd5f\udb40\udd65\udb40\udd5e\udb40\udd63\udb40\udd55\udb40\udd5c\udb40\udd63\udb40\udd1c\udb40\udd10\udb40\udd52\udb40\udd55\udb40\udd57\udb40\udd57\udb40\udd59\udb40\udd5e\udb40\udd57\udb40\udd10\udb40\udd56\udb40\udd5f\udb40\udd62\udb40\udd10\udb40\udd58\udb40\udd59\udb40\udd63\udb40\udd10\udb40\udd51\udb40\udd60\udb40\udd60\udb40\udd62\udb40\udd5f\udb40\udd52\udb40\udd51\udb40\udd64\udb40\udd59\udb40\udd5f\udb40\udd5e\udb40\udd1c\udb40\udd10\udb40\udd59\udb40\udd5d\udb40\udd60\udb40\udd5c\udb40\udd5f\udb40\udd62\udb40\udd59\udb40\udd5e\udb40\udd57\udb40\udd10\udb40\udd64\udb40\udd58\udb40\udd55\udb40\udd10\udb40\udd51\udb40\udd59\udb40\udd54\udb40\udd10\udb40\udd5f\udb40\udd56\udb40\udd10\udb40\udd58\udb40\udd59\udb40\udd63\udb40\udd10\udb40\udd51\udb40\udd5c\udb40\udd5c\udb40\udd1d\udb40\udd60\udb40\udd5f\udb40\udd67\udb40\udd55\udb40\udd62\udb40\udd56\udb40\udd65\udb40\udd5c\udb40\udd10\udb40\udd5f\udb40\udd62\udb40\udd57\udb40\udd51\udb40\udd5e\udb40\udd1e\n\nHere is a hint:\n```python\ndef variance_selector_to_byte(variation_selector):\n variation_selector_codepoint = ord(variation_selector)\n if 0xFE00 <= variation_selector_codepoint <= 0xFE0F:\n return variation_selector_codepoint - 0xFE00\n elif 0xE0100 <= variation_selector_codepoint <= 0xE01EF:\n return variation_selector_codepoint - 0xE0100 + 16\n else:\n return None\n\ndef decode(encoded_sentence):\n decoded_bytes = []\n variation_selectors_part = encoded_sentence[1:]\n for char in variation_selectors_part:\n byte_val = variance_selector_to_byte(char)\n if byte_val is not None:\n decoded_bytes.append(byte_val)\n return bytes(decoded_bytes).decode('utf-8')\n```\n\n\nReturn the secret sentence as your final answer.\n", "_time": 0.002962350845336914, "_task": "rg", "_level": 0}

The following emoji is encoded with a sentence. Decode the following sentence from the emoji: 🥱󠅇󠅕󠅜󠅜󠄜󠄐󠅤󠅘󠅕󠅞󠄜󠄐󠅜󠅟󠅟󠅛󠄐󠅑󠅤󠄐󠅤󠅘󠅕󠄐󠅠󠅜󠅕󠅞󠅙󠅠󠅟󠅤󠅕󠅞󠅤󠅙󠅑󠅢󠅙󠅕󠅣󠄐󠅟󠅖󠄐󠅑󠅜󠅜󠄐󠅞󠅑󠅤󠅙󠅟󠅞󠅣󠄐󠅑󠅞󠅔󠄐󠅟󠅥󠅢󠄐󠅟󠅧󠅞󠄐󠅝󠅙󠅞󠅙󠅣󠅤󠅕󠅢󠅣󠄐󠅤󠅘󠅕󠅝󠅣󠅕󠅜󠅦󠅕󠅣󠄐󠅓󠅢󠅟󠅧󠅔󠅙󠅞󠅗󠄐󠅑󠅒󠅟󠅥󠅤󠄐󠅘󠅙󠅣󠄐󠅔󠅟󠅟󠅢󠄜󠄐󠅕󠅞󠅤󠅢󠅕󠅑󠅤󠅙󠅞󠅗󠄐󠅘󠅙󠅣󠄐󠅓󠅟󠅥󠅞󠅣󠅕󠅜󠅣󠄜󠄐󠅒󠅕󠅗󠅗󠅙󠅞󠅗󠄐󠅖󠅟󠅢󠄐󠅘󠅙󠅣󠄐󠅑󠅠󠅠󠅢󠅟󠅒󠅑󠅤󠅙󠅟󠅞󠄜󠄐󠅙󠅝󠅠󠅜󠅟󠅢󠅙󠅞󠅗󠄐󠅤󠅘󠅕󠄐󠅑󠅙󠅔󠄐󠅟󠅖󠄐󠅘󠅙󠅣󠄐󠅑󠅜󠅜󠄝󠅠󠅟󠅧󠅕󠅢󠅖󠅥󠅜󠄐󠅟󠅢󠅗󠅑󠅞󠄞 Here is a hint: ```python def variance_selector_to_byte(variation_selector): variation_selector_codepoint = ord(variation_selector) if 0xFE00 <= variation_selector_codepoint <= 0xFE0F: return variation_selector_codepoint - 0xFE00 elif 0xE0100 <= variation_selector_codepoint <= 0xE01EF: return variation_selector_codepoint - 0xE0100 + 16 else: return None def decode(encoded_sentence): decoded_bytes = [] variation_selectors_part = encoded_sentence[1:] for char in variation_selectors_part: byte_val = variance_selector_to_byte(char) if byte_val is not None: decoded_bytes.append(byte_val) return bytes(decoded_bytes).decode('utf-8') ``` Return the secret sentence as your final answer.

rg

[[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0]]

{"source_dataset": "game_of_life", "source_index": 0, "grid_size_x": 10, "grid_size_y": 10, "filled_cells": 10, "simulation_steps": 1, "difficulty": {"grid_size_x": 10, "grid_size_y": 10, "filled_cells_weights": 0.1, "simulation_steps": 1}, "task_name": "RG.game_of_life", "_question": "What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]])\n\n[[0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,1],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,1,0,0,0],\n [0,0,0,0,0,0,1,0,0,0],\n [1,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,0,0,0,0,0],\n [0,1,0,1,0,0,0,0,0,1],\n [0,0,0,0,0,0,0,0,0,0],\n [0,0,0,0,0,1,0,0,0,1]].", "_time": 0.0070879459381103516, "_task": "rg", "_level": 0}

What will this Game of Life board look like after 1 steps of simulation? Assume a Moore neighborhood and wrapping topology. Reply as array of arrays representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) [[0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,1,0,0,0], [1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0], [0,1,0,1,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,1]].

rg

3822

{"source_dataset": "lcm", "source_index": 0, "numbers": [78, 98], "result": 3822, "difficulty": {"numbers": [2, 2], "value": [1, 100]}, "task_name": "RG.lcm", "_question": "Find the Least Common Multiple (LCM) of these numbers: 78, 98", "_time": 9.417533874511719e-05, "_task": "rg", "_level": 0}

Find the Least Common Multiple (LCM) of these numbers: 78, 98

rg

7

{"source_dataset": "aiw", "source_index": 0, "task_type": "colleagues", "difficulty": {"task_type_weights": [0.3333333333333333, 0.3333333333333333, 0.3333333333333333], "num_entities": 6}, "task_name": "RG.aiw", "_question": "Linda has 5 male colleagues and she also has 6 female colleagues. These are all colleagues that Linda has. All these mentioned persons around Linda are colleagues of each other. William has 6 male colleagues and 1 female colleagues in total. All these mentioned persons around William are colleagues of each other. The people in the circle around William do not have other colleagues aside - with the only exception of Matilda. She is colleague of William and she is also colleague of Linda, being part of Linda's circle. How many female colleagues does Matilda have?", "_time": 0.0001232624053955078, "_task": "rg", "_level": 0}

Linda has 5 male colleagues and she also has 6 female colleagues. These are all colleagues that Linda has. All these mentioned persons around Linda are colleagues of each other. William has 6 male colleagues and 1 female colleagues in total. All these mentioned persons around William are colleagues of each other. The people in the circle around William do not have other colleagues aside - with the only exception of Matilda. She is colleague of William and she is also colleague of Linda, being part of Linda's circle. How many female colleagues does Matilda have?

rg

None

{"source_dataset": "boxnet", "source_index": 0, "row_num": 2, "column_num": 2, "initial_state": {"0.5_0.5": [], "0.5_1.5": ["box_red", "target_green"], "1.5_0.5": ["target_red", "box_blue", "target_blue"], "1.5_1.5": ["box_green"]}, "difficulty": {"row_num": [1, 4], "column_num": [2, 4], "box_num": [1, 1]}, "task_name": "RG.boxnet", "_question": "\nYou are a central planner tasked with directing agents in a grid-like field to move colored boxes to their corresponding color-coded targets.\nEach agent occupies a 1x1 square and can only interact with objects within its square. Agents can move a box to an adjacent square or\ndirectly to a target square of the same color. A square may contain multiple boxes and targets. The squares are identified by their center\ncoordinates (e.g., square[0.5, 0.5]). Actions are formatted as: move(box_color, destination), where box_color is the color of the box and\ndestination is either a target of the same color or an adjacent square. Your objective is to create a sequence of action plans that instructs\neach agent to match all boxes to their color-coded targets in the most efficient manner.\n\nPlease adhere to the following rules when specifying your action plan:\n1. Single Action per Agent: Assign only one action to each agent at a time. However, the final answer shoule be a list of action plans for multiple steps.\n2. Unique Agent Keys: Use unique keys for each agent in the JSON format action plan. The key should be the agent's coordinates in the format \"Agent[x, y]\".\n3. Prioritize Matching Boxes to Targets: Always prioritize actions that will match a box to its target over moving a box to an adjacent square.\n4. Sequential Action Planning: The whole returned answer should be a list of action plans for multiple steps, do not just return one step plan.\n5. Clear Formatting: Ensure the action plan is clearly formatted in JSON, with each agent's action specified as a key-value pair.\n6. Conflict Resolution: Ensure that no two agents are assigned actions that would interfere with each other.\n7. Optimize Efficiency: Aim to minimize the number of moves required to match all boxes with their targets.\n\nHere is the format for your action plan:\nPlease provide your final answer as a list of action dictionaries.\nFor example:\n```json\n[{\"Agent[0.5, 0.5]\":\"move(box_blue, square[0.5, 1.5])\", \"Agent[1.5, 0.5]\":\"move(box_red, target_red)\"}, {\"Agent[0.5, 1.5]\":\"move(box_blue, target_blue)\", \"Agent[2.5, 0.5]\":\"move...}, {...}...]\n```\nInclude an agent in the action plan only if it has a task to perform next.\n\n\nThe current left boxes and agents are: Agent[0.5, 0.5]: I am in square[0.5, 0.5], I can observe [], I can do []\nAgent[0.5, 1.5]: I am in square[0.5, 1.5], I can observe ['box_red', 'target_green'], I can do ['move(box_red, square[1.5, 1.5])', 'move(box_red, square[0.5, 0.5])']\nAgent[1.5, 0.5]: I am in square[1.5, 0.5], I can observe ['target_red', 'box_blue', 'target_blue'], I can do ['move(box_blue, square[0.5, 0.5])', 'move(box_blue, square[1.5, 1.5])', 'move(box_blue, target_blue)']\nAgent[1.5, 1.5]: I am in square[1.5, 1.5], I can observe ['box_green'], I can do ['move(box_green, square[0.5, 1.5])', 'move(box_green, square[1.5, 0.5])']\n\n", "_time": 0.00019431114196777344, "_task": "rg", "_level": 0}

You are a central planner tasked with directing agents in a grid-like field to move colored boxes to their corresponding color-coded targets. Each agent occupies a 1x1 square and can only interact with objects within its square. Agents can move a box to an adjacent square or directly to a target square of the same color. A square may contain multiple boxes and targets. The squares are identified by their center coordinates (e.g., square[0.5, 0.5]). Actions are formatted as: move(box_color, destination), where box_color is the color of the box and destination is either a target of the same color or an adjacent square. Your objective is to create a sequence of action plans that instructs each agent to match all boxes to their color-coded targets in the most efficient manner. Please adhere to the following rules when specifying your action plan: 1. Single Action per Agent: Assign only one action to each agent at a time. However, the final answer shoule be a list of action plans for multiple steps. 2. Unique Agent Keys: Use unique keys for each agent in the JSON format action plan. The key should be the agent's coordinates in the format "Agent[x, y]". 3. Prioritize Matching Boxes to Targets: Always prioritize actions that will match a box to its target over moving a box to an adjacent square. 4. Sequential Action Planning: The whole returned answer should be a list of action plans for multiple steps, do not just return one step plan. 5. Clear Formatting: Ensure the action plan is clearly formatted in JSON, with each agent's action specified as a key-value pair. 6. Conflict Resolution: Ensure that no two agents are assigned actions that would interfere with each other. 7. Optimize Efficiency: Aim to minimize the number of moves required to match all boxes with their targets. Here is the format for your action plan: Please provide your final answer as a list of action dictionaries. For example: ```json [{"Agent[0.5, 0.5]":"move(box_blue, square[0.5, 1.5])", "Agent[1.5, 0.5]":"move(box_red, target_red)"}, {"Agent[0.5, 1.5]":"move(box_blue, target_blue)", "Agent[2.5, 0.5]":"move...}, {...}...] ``` Include an agent in the action plan only if it has a task to perform next. The current left boxes and agents are: Agent[0.5, 0.5]: I am in square[0.5, 0.5], I can observe [], I can do [] Agent[0.5, 1.5]: I am in square[0.5, 1.5], I can observe ['box_red', 'target_green'], I can do ['move(box_red, square[1.5, 1.5])', 'move(box_red, square[0.5, 0.5])'] Agent[1.5, 0.5]: I am in square[1.5, 0.5], I can observe ['target_red', 'box_blue', 'target_blue'], I can do ['move(box_blue, square[0.5, 0.5])', 'move(box_blue, square[1.5, 1.5])', 'move(box_blue, target_blue)'] Agent[1.5, 1.5]: I am in square[1.5, 1.5], I can observe ['box_green'], I can do ['move(box_green, square[0.5, 1.5])', 'move(box_green, square[1.5, 0.5])']

rg

-1

{"source_dataset": "rotten_oranges", "source_index": 0, "matrix": [[1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1], [1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1], [1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1], [1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0], [1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2], [1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2], [2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1], [1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1]], "solution": -1, "n": 21, "difficulty": {"n": [10, 30]}, "task_name": "RG.rotten_oranges", "_question": "You are given an n x n grid where each cell can have one of three values:\n- 0 representing an empty cell\n- 1 representing a fresh orange\n- 2 representing a rotten orange\n\nEvery minute, any fresh orange that is 4-directionally adjacent to a rotten orange becomes rotten.\n\nYour task is determine the minimum number of minutes that must elapse until no cell has a fresh orange.\nIf this is impossible, return -1.\n\nNow, determine the minimum number of minutes that must elapse until no cell in the grid below has a fresh orange:\n1 0 1 2 1 0 0 0 1 2 1 2 1 2 1 0 1 0 0 2 1\n1 2 1 1 1 1 0 1 1 1 2 1 1 1 0 1 1 0 1 1 1\n1 1 0 1 1 1 2 1 1 1 0 2 1 1 1 1 1 1 1 1 1\n1 2 1 1 1 1 0 2 1 1 1 1 1 1 1 1 0 2 0 1 1\n1 1 1 2 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1\n1 1 1 1 1 1 1 1 2 0 1 2 1 1 1 1 0 1 1 1 1\n1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 0 1\n1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1\n1 1 1 1 2 0 1 1 1 0 1 0 1 1 1 1 1 1 1 2 1\n1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 0 1 1 1 1 1\n1 2 1 1 2 1 2 2 0 2 1 2 0 1 0 1 0 0 1 1 1\n1 1 1 1 1 2 0 1 1 1 2 1 1 1 1 1 1 1 1 1 1\n1 1 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1\n1 0 0 1 0 2 0 1 1 1 1 1 0 2 1 1 0 1 1 1 0\n1 1 1 1 1 2 1 1 1 0 1 1 1 1 1 2 1 1 0 1 2\n1 1 1 1 1 1 0 1 2 2 1 2 1 0 1 1 0 1 1 1 2\n2 1 0 1 1 1 0 0 1 2 1 1 1 1 1 1 1 1 1 1 2\n1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1\n1 1 1 0 0 1 1 1 2 1 1 1 0 1 0 2 1 1 1 1 1\n1 1 1 1 1 0 1 1 1 2 0 1 2 1 1 1 0 1 1 1 0\n1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 1 1 1 2 0 1\n", "_time": 0.0005383491516113281, "_task": "rg", "_level": 0}

You are given an n x n grid where each cell can have one of three values: - 0 representing an empty cell - 1 representing a fresh orange - 2 representing a rotten orange Every minute, any fresh orange that is 4-directionally adjacent to a rotten orange becomes rotten. Your task is determine the minimum number of minutes that must elapse until no cell has a fresh orange. If this is impossible, return -1. Now, determine the minimum number of minutes that must elapse until no cell in the grid below has a fresh orange: 1 0 1 2 1 0 0 0 1 2 1 2 1 2 1 0 1 0 0 2 1 1 2 1 1 1 1 0 1 1 1 2 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 2 1 1 1 0 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 0 2 1 1 1 1 1 1 1 1 0 2 0 1 1 1 1 1 2 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 2 0 1 1 1 0 1 0 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 0 1 1 1 1 1 1 2 1 1 2 1 2 2 0 2 1 2 0 1 0 1 0 0 1 1 1 1 1 1 1 1 2 0 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 2 0 1 1 1 1 1 0 2 1 1 0 1 1 1 0 1 1 1 1 1 2 1 1 1 0 1 1 1 1 1 2 1 1 0 1 2 1 1 1 1 1 1 0 1 2 2 1 2 1 0 1 1 0 1 1 1 2 2 1 0 1 1 1 0 0 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 2 1 1 1 0 1 0 2 1 1 1 1 1 1 1 1 1 1 0 1 1 1 2 0 1 2 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 1 1 1 2 0 1

rg

10

{"source_dataset": "gcd", "source_index": 0, "numbers": [160, 450], "result": 10, "num_terms": 2, "difficulty": {"num_terms": [2, 2], "value": [1, 1000]}, "task_name": "RG.gcd", "_question": "Find the Greatest Common Divisor (GCD) of these numbers: 160, 450. Give only the GCD as your final answer.", "_time": 9.107589721679688e-05, "_task": "rg", "_level": 0}

Find the Greatest Common Divisor (GCD) of these numbers: 160, 450. Give only the GCD as your final answer.

rg

In response, the the man addressed simply pointed to sky, which was of a pure blue.

{"source_dataset": "sentence_reordering", "source_index": 0, "word_count": 16, "difficulty": {"words_in_sentence": [3, 20]}, "task_name": "RG.sentence_reordering", "_question": "Restore the correct order of words in the following sentence: pure the a blue. pointed the simply In response, which was sky, of addressed man to", "_time": 0.0026633739471435547, "_task": "rg", "_level": 0}

Restore the correct order of words in the following sentence: pure the a blue. pointed the simply In response, which was sky, of addressed man to

rg

3 2 4 1 1 4 2 3 2 3 1 4 4 1 3 2

{"source_dataset": "mini_sudoku", "source_index": 0, "puzzle": [[0, 0, 4, 1], [0, 4, 2, 0], [2, 0, 1, 0], [0, 0, 0, 0]], "solution": [[3, 2, 4, 1], [1, 4, 2, 3], [2, 3, 1, 4], [4, 1, 3, 2]], "num_empty": 10, "difficulty": {"empty": [8, 12]}, "task_name": "RG.mini_sudoku", "_question": "In 4x4 Mini Sudoku:\n- Each row must contain each number from 1-4 exactly once\n- Each column must contain each number 1-4 exactly once\n- Each 2x2 subgrid must contain each number 1-4 exactly once\nSolve this 4x4 Mini Sudoku puzzle:\n_ _ 4 1\n_ 4 2 _\n2 _ 1 _\n_ _ _ _\nFormat your response as the puzzle above, with spaces separating each number within a row, and newlines separating rows.\n", "_time": 0.0003390312194824219, "_task": "rg", "_level": 0}

In 4x4 Mini Sudoku: - Each row must contain each number from 1-4 exactly once - Each column must contain each number 1-4 exactly once - Each 2x2 subgrid must contain each number 1-4 exactly once Solve this 4x4 Mini Sudoku puzzle: _ _ 4 1 _ 4 2 _ 2 _ 1 _ _ _ _ _ Format your response as the puzzle above, with spaces separating each number within a row, and newlines separating rows.

rg

set forth in this agreement you must obtain permission in writing from the Project Gutenberg

{"source_dataset": "letter_jumble", "source_index": 0, "num_words": 15, "corruption_level": 0.736115482486887, "scrambled_words": ["set", "ohtrf", "ni", "hsit", "nteeamrge", "uyo", "stmu", "nboait", "esrpnisoim", "ni", "tinrwig", "rfmo", "eth", "jrcoteP", "egtrbuenG"], "original_words": ["set", "forth", "in", "this", "agreement", "you", "must", "obtain", "permission", "in", "writing", "from", "the", "Project", "Gutenberg"], "difficulty": {"word_len": [1, 64], "words": [3, 20], "corruption_level": [0.1, 0.9]}, "task_name": "RG.letter_jumble", "_question": "Your task is to unsramble words in a sentence.\n\nFor each word in a sentence, the letter may have been randomly shuffled. Your task is to unscramble the words.\n\nThe order of the words in the sentence is preserved. Moreover, the style of the sentence is preserved (i.e. punctuation, capitalization, new lines, etc.).\n\nYour output should be a sentence with the words unscrambled.\n\nNow, unscramble these words: set ohtrf ni hsit nteeamrge uyo stmu nboait esrpnisoim ni tinrwig rfmo eth jrcoteP egtrbuenG\n", "_time": 0.0029747486114501953, "_task": "rg", "_level": 0}

Your task is to unsramble words in a sentence. For each word in a sentence, the letter may have been randomly shuffled. Your task is to unscramble the words. The order of the words in the sentence is preserved. Moreover, the style of the sentence is preserved (i.e. punctuation, capitalization, new lines, etc.). Your output should be a sentence with the words unscrambled. Now, unscramble these words: set ohtrf ni hsit nteeamrge uyo stmu nboait esrpnisoim ni tinrwig rfmo eth jrcoteP egtrbuenG

rg

9 8 3 2 1 6 4 5 7 7 5 1 8 4 9 6 2 3 4 6 2 3 5 7 8 1 9 2 4 5 1 9 8 7 3 6 8 7 6 5 3 2 1 9 4 1 3 9 7 6 4 5 8 2 5 2 4 6 8 3 9 7 1 6 1 7 9 2 5 3 4 8 3 9 8 4 7 1 2 6 5

{"source_dataset": "sudoku", "source_index": 0, "puzzle": [[0, 0, 0, 2, 1, 6, 0, 0, 7], [7, 5, 0, 0, 0, 0, 6, 0, 3], [4, 0, 2, 3, 5, 0, 0, 0, 9], [2, 0, 5, 1, 9, 0, 7, 0, 0], [0, 0, 6, 0, 3, 0, 0, 0, 4], [1, 0, 9, 0, 6, 4, 5, 0, 0], [0, 2, 4, 6, 8, 0, 0, 7, 0], [6, 1, 0, 9, 2, 0, 3, 4, 8], [0, 0, 8, 4, 0, 1, 2, 0, 0]], "solution": [[9, 8, 3, 2, 1, 6, 4, 5, 7], [7, 5, 1, 8, 4, 9, 6, 2, 3], [4, 6, 2, 3, 5, 7, 8, 1, 9], [2, 4, 5, 1, 9, 8, 7, 3, 6], [8, 7, 6, 5, 3, 2, 1, 9, 4], [1, 3, 9, 7, 6, 4, 5, 8, 2], [5, 2, 4, 6, 8, 3, 9, 7, 1], [6, 1, 7, 9, 2, 5, 3, 4, 8], [3, 9, 8, 4, 7, 1, 2, 6, 5]], "num_empty": 39, "difficulty": {"empty": [30, 50]}, "task_name": "RG.sudoku", "_question": "Solve this Sudoku puzzle:\n_ _ _ 2 1 6 _ _ 7\n7 5 _ _ _ _ 6 _ 3\n4 _ 2 3 5 _ _ _ 9\n2 _ 5 1 9 _ 7 _ _\n_ _ 6 _ 3 _ _ _ 4\n1 _ 9 _ 6 4 5 _ _\n_ 2 4 6 8 _ _ 7 _\n6 1 _ 9 2 _ 3 4 8\n_ _ 8 4 _ 1 2 _ _\nRespond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.", "_time": 0.007528543472290039, "_task": "rg", "_level": 0}

Solve this Sudoku puzzle: _ _ _ 2 1 6 _ _ 7 7 5 _ _ _ _ 6 _ 3 4 _ 2 3 5 _ _ _ 9 2 _ 5 1 9 _ 7 _ _ _ _ 6 _ 3 _ _ _ 4 1 _ 9 _ 6 4 5 _ _ _ 2 4 6 8 _ _ 7 _ 6 1 _ 9 2 _ 3 4 8 _ _ 8 4 _ 1 2 _ _ Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines.

rg

-205216*x**9 - 251856*x**8 + 393624*x**7 + 219788*x**6 - 421520*x**5 - 42952*x**4 + 95472*x**3

{"source_dataset": "polynomial_multiplication", "source_index": 0, "polynomial_expr": "(-88*x**3 + 26*x)*(44*x**3 + 54*x**2)*(53*x**3 - 86*x + 68)", "variables": ["x"], "difficulty": {"min_terms": 2, "max_terms": 4, "min_value": 1, "max_value": 100, "min_degree": 0, "max_degree": 3, "min_polynomials": 2, "max_polynomials": 3}, "task_name": "RG.polynomial_multiplication", "_question": "Simplify this expression: (-88*x**3 + 26*x)*(44*x**3 + 54*x**2)*(53*x**3 - 86*x + 68)\nWhen performing calculations, please follow these guidelines:\n1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2.\n2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.\n", "_time": 0.006768226623535156, "_task": "rg", "_level": 0}

Simplify this expression: (-88*x**3 + 26*x)*(44*x**3 + 54*x**2)*(53*x**3 - 86*x + 68) When performing calculations, please follow these guidelines: 1. Use ** instead of ^ to represent exponents. For example, write 7*X**2 instead of 7*X^2. 2. Always include the * symbol for all multiplication operations in your reasoning steps. For example, write `-3*X**3*sin(X) - 9*X**2*cos(X) + 18*X*sin(X) + 18*cos(X) + C` instead of `-3x3sin(x) - 9x2cos(x) + 18xsin(x) + 18cos(x) + C`.

rg

1627/2720

{"source_dataset": "dice", "source_index": 0, "puzzle": {"dice_str": "1d20, 1d17, 1d4, 1d2", "target": 22, "num": 1627, "den": 2720, "probability": 0.5981617647058823}, "difficulty": {"num_dice": 4, "max_dice_size": 20}, "task_name": "RG.dice", "_question": "I have these dice: 1d20, 1d17, 1d4, 1d2. What are the odds of rolling 22 or higher? (Assume that all dice are rolled at once, and that '1d6' represents one roll of a 6-sided dice.) Please respond with a reduced fraction representing the probability [ex., 1/60].", "_time": 0.00015163421630859375, "_task": "rg", "_level": 0}

I have these dice: 1d20, 1d17, 1d4, 1d2. What are the odds of rolling 22 or higher? (Assume that all dice are rolled at once, and that '1d6' represents one roll of a 6-sided dice.) Please respond with a reduced fraction representing the probability [ex., 1/60].

rg