{"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":"ba01dabf-a217-5c98-b11b-0cf859b08cec","task_key":"algebra--test--ba01dabf-a217-5c98-b11b-0cf859b08cec","task_revision_id":"1","upstream_id":"","short_description":"We define a function $f(x)$ such that $f(14)=7$, and if there exists an integer…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"We define a function $f(x)$ such that $f(14)=7$, and if there exists an integer $a$ such that $f(a)=b$, then $f(b)$ is defined and\\n\\n$f(b)=3b+1$ if $b$ is odd\\n\\n$f(b)=\\\\frac{b}{2}$ if $b$ is even.\\n\\nWhat is the smallest possible number of integers in the domain of $f$?\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}