{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"1fa791be-cfd5-5ce6-b92a-f00d4e2a3412","task_key":"counting~5fand~5fprobability--test--1fa791be-cfd5-5ce6-b92a-f00d4e2a3412","task_revision_id":"1","upstream_id":"","short_description":"How many subsets of the set of divisors of $72$ contain only composite numbers?…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"How many subsets of the set of divisors of $72$ contain only composite numbers? For example, $\\\\{8,9\\\\}$ and $\\\\{4,8,12\\\\}$ are two such sets. Include the empty set in your count.\",\"type\":\"Counting & Probability\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}