{"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":"d9abd593-f135-5a2c-b34c-822d4b11f754","task_key":"number~5ftheory--test--d9abd593-f135-5a2c-b34c-822d4b11f754","task_revision_id":"1","upstream_id":"","short_description":"Let $n$ be the inverse of $2\\pmod{17}$. That is, let $n$ be the integer $0\\leq n…","config":"number_theory","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $n$ be the inverse of $2\\\\pmod{17}$. That is, let $n$ be the integer $0\\\\leq n < 17$ for which $2n \\\\equiv 1 \\\\pmod{17}$. What is $\\\\left(2^n\\\\right)^2 - 2 \\\\pmod{17}$?\\n\\nExpress your answer as an integer from $0$ to $16$, inclusive.\",\"type\":\"Number Theory\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}