{"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":"5f113681-eb78-54f8-8c11-ebeb2576313f","task_key":"precalculus--test--5f113681-eb78-54f8-8c11-ebeb2576313f","task_revision_id":"1","upstream_id":"","short_description":"A line passes through the distinct vectors $\\mathbf{a}$ and $\\mathbf{b}.$ Then…","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A line passes through the distinct vectors $\\\\mathbf{a}$ and $\\\\mathbf{b}.$  Then for a certain value of $k,$ the vector\\n\\\\[3 \\\\mathbf{a} + k \\\\mathbf{b}\\\\]must also lie on the line.  Find $k.$\",\"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":[]}