{"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":"70b7b5a7-3138-54e2-b72d-e8f87c9b99e7","task_key":"precalculus--test--70b7b5a7-3138-54e2-b72d-e8f87c9b99e7","task_revision_id":"1","upstream_id":"","short_description":"Let $\\mathbf{b} = \\begin{pmatrix} -1 \\\\ 4 \\\\ 6 \\end{pmatrix}$ and $\\mathbf{c} =…","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Let $\\\\mathbf{b} = \\\\begin{pmatrix} -1 \\\\\\\\ 4 \\\\\\\\ 6 \\\\end{pmatrix}$ and $\\\\mathbf{c} = \\\\begin{pmatrix} 2 \\\\\\\\ -7 \\\\\\\\ -10 \\\\end{pmatrix}.$  Find the maximum value of\\n\\\\[\\\\mathbf{c} \\\\cdot (\\\\mathbf{a} \\\\times \\\\mathbf{b}),\\\\]where $\\\\mathbf{a}$ is a unit vector.\",\"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":[]}