| {"task_id": "counting-medium", "split": "train", "family": "counting", "level": "medium", "example_question": "A club has 14 members. In how many ways can a committee of 6 be chosen if two particular members, Ana and Ben, refuse to serve together?", "example_answer": "2508", "qwen3.8_27b_solved": "5/10"} |
| {"task_id": "counting-hard", "split": "train", "family": "counting", "level": "hard", "example_question": "How many distinct arrangements of all the letters in AGGSSESEA begin with the letter E?", "example_answer": "1680", "qwen3.8_27b_solved": "2/10"} |
| {"task_id": "modular-medium", "split": "train", "family": "modular", "level": "medium", "example_question": "What is the remainder when 29^876 is divided by 23?", "example_answer": "3", "qwen3.8_27b_solved": "3/5"} |
| {"task_id": "modular-hard", "split": "train", "family": "modular", "level": "hard", "example_question": "What are the last 3 digits of 23^7311? Give them as an integer (drop leading zeros).", "example_answer": "927", "qwen3.8_27b_solved": "1/10"} |
| {"task_id": "sequences-medium", "split": "train", "family": "sequences", "level": "medium", "example_question": "In an increasing arithmetic sequence, term number 2 is 19 and term number 8 is 109. What is the sum of all terms of the sequence that are between 116 and 839 inclusive?", "example_answer": "22872", "qwen3.8_27b_solved": "2/5"} |
| {"task_id": "sequences-hard", "split": "train", "family": "sequences", "level": "hard", "example_question": "A sequence starts with a(1) = 1 and a(2) = 3, and for n >= 3, a(n) = 2*a(n-1) + 2*a(n-2). What is a(14)?", "example_answer": "508992", "qwen3.8_27b_solved": "3/10"} |
| {"task_id": "probability-medium", "split": "train", "family": "probability", "level": "medium", "example_question": "Two fair six-sided dice are rolled. What is the probability that the sum is at least 10? Give a reduced fraction.", "example_answer": "1/6", "qwen3.8_27b_solved": "6/10"} |
| {"task_id": "probability-hard", "split": "train", "family": "probability", "level": "hard", "example_question": "A bag has 8 red, 5 blue and 8 green marbles. Three marbles are drawn at random without replacement. What is the probability that all three are different colours? Give a reduced fraction.", "example_answer": "32/133", "qwen3.8_27b_solved": "3/5"} |
| |
