{"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":"ab74a7dd-b785-59f7-a9dc-f825af588904","task_key":"intermediate~5falgebra--test--ab74a7dd-b785-59f7-a9dc-f825af588904","task_revision_id":"1","upstream_id":"","short_description":"Find all complex numbers $z$ such that","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Find all complex numbers $z$ such that\\n\\\\begin{align*}\\n\\\\left| \\\\frac{z - 4}{z - 8} \\\\right| &= 1, \\\\\\\\\\n\\\\left| \\\\frac{z - 12}{z - 8i} \\\\right| &= \\\\frac{5}{3}.\\n\\\\end{align*}Enter all the solutions, separated by commas.\",\"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":[]}