{"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":"760a985d-874b-5895-80c1-cccfe0aa5873","task_key":"intermediate~5falgebra--test--760a985d-874b-5895-80c1-cccfe0aa5873","task_revision_id":"1","upstream_id":"","short_description":"Let $z$ be a nonreal complex number. Find the smallest possible value of","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $z$ be a nonreal complex number.  Find the smallest possible value of\\n\\\\[\\\\frac{\\\\text{Im}(z^5)}{[\\\\text{Im}(z)]^5}.\\\\]Note: For a complex number $z,$ $\\\\text{Im}(z)$ denotes the imaginary part of $z.$\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}