{"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":"3f06acee-c2ca-5980-b961-2df90b4c20cd","task_key":"precalculus--test--3f06acee-c2ca-5980-b961-2df90b4c20cd","task_revision_id":"1","upstream_id":"","short_description":"The vectors $\\begin{pmatrix} 1 \\\\ - 1 \\\\ 2 \\end{pmatrix},$ $\\begin{pmatrix} 2 \\\\…","config":"precalculus","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"The vectors $\\\\begin{pmatrix} 1 \\\\\\\\ - 1 \\\\\\\\ 2 \\\\end{pmatrix},$ $\\\\begin{pmatrix} 2 \\\\\\\\ 4 \\\\\\\\ 1 \\\\end{pmatrix},$ and $\\\\begin{pmatrix} a \\\\\\\\ 1 \\\\\\\\ c \\\\end{pmatrix}$ are pairwise orthogonal.  Enter the ordered pair $(a,c).$\",\"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":[]}