{"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":"fe965b7d-8b5c-55ee-a2e2-6ac6e5f264e3","task_key":"intermediate~5falgebra--test--fe965b7d-8b5c-55ee-a2e2-6ac6e5f264e3","task_revision_id":"1","upstream_id":"","short_description":"During the weekends, Eli delivers milk in the complex plane. On Saturday, he…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"During the weekends, Eli delivers milk in the complex plane. On Saturday, he begins at $z$ and delivers milk to houses located at $z^3,z^5,z^7,\\\\ldots,z^{2013}$ in that order; on Sunday, he begins at $1$ and delivers milk to houses located at $z^2,z^4,z^6,\\\\ldots,z^{2012}$ in that order.  Eli always walks directly (in a straight line) between two houses. If the distance he must travel from his starting point to the last house is $\\\\sqrt{2012}$ on both days, find the real part of $z^2$.\",\"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":[]}