{"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":"0e3839f8-1c40-5842-9cf8-d92cc234fea3","task_key":"precalculus--test--0e3839f8-1c40-5842-9cf8-d92cc234fea3","task_revision_id":"1","upstream_id":"","short_description":"Find the vector $\\mathbf{v}$ such that","config":"precalculus","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Find the vector $\\\\mathbf{v}$ such that\\n\\\\[\\\\mathbf{i} \\\\times [(\\\\mathbf{v} - \\\\mathbf{j}) \\\\times \\\\mathbf{i}] + \\\\mathbf{j} \\\\times [(\\\\mathbf{v} - \\\\mathbf{k}) \\\\times \\\\mathbf{j}] + \\\\mathbf{k} \\\\times [(\\\\mathbf{v} - \\\\mathbf{i}) \\\\times \\\\mathbf{k}] = \\\\mathbf{0}.\\\\]\",\"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":[]}