{"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":"0f81b203-82a7-52f9-9717-43caab0ace36","task_key":"intermediate~5falgebra--test--0f81b203-82a7-52f9-9717-43caab0ace36","task_revision_id":"1","upstream_id":"","short_description":"Let $z_1$ and $z_2$ be complex numbers such that $\\frac{z_2}{z_1}$ is pure…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Let $z_1$ and $z_2$ be complex numbers such that $\\\\frac{z_2}{z_1}$ is pure imaginary and $2z_1 \\\\neq 7z_2.$  Compute\\n\\\\[\\\\left| \\\\frac{2z_1 + 7z_2}{2z_1 - 7z_2} \\\\right|.\\\\]\",\"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":[]}