{"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":"a787e812-832b-5d34-8985-6e834fecd49f","task_key":"precalculus--test--a787e812-832b-5d34-8985-6e834fecd49f","task_revision_id":"1","upstream_id":"","short_description":"In right triangle $ABC$, we have $AB = 10$, $BC = 24$, and $\\angle ABC =…","config":"precalculus","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"In right triangle $ABC$, we have $AB = 10$, $BC = 24$, and $\\\\angle ABC = 90^\\\\circ$. If $M$ is on $\\\\overline{AC}$ such that $\\\\overline{BM}$ is an angle bisector of $\\\\triangle ABC$, then what is $\\\\cos \\\\angle ABM$?\",\"type\":\"Precalculus\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}