{"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":"58d27fb1-4985-5e7f-a61d-f2ab7fc88046","task_key":"intermediate~5falgebra--test--58d27fb1-4985-5e7f-a61d-f2ab7fc88046","task_revision_id":"1","upstream_id":"","short_description":"The complex numbers $z$ and $w$ satisfy the system","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The complex numbers $z$ and $w$ satisfy the system\\n\\\\begin{align*}\\nz + \\\\frac{20i}w &= 5+i, \\\\\\\\\\nw+\\\\frac{12i}z &= -4+10i.\\n\\\\end{align*}Find the smallest possible value of $\\\\vert zw\\\\vert^2$.\",\"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":[]}