{"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":"5ac6abe8-38d5-527c-99d0-ae9cfc53840f","task_key":"intermediate~5falgebra--test--5ac6abe8-38d5-527c-99d0-ae9cfc53840f","task_revision_id":"1","upstream_id":"","short_description":"The complex numbers $\\alpha_1, \\alpha_2, \\alpha_3$, and $\\alpha_4$ are the four…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The complex numbers $\\\\alpha_1, \\\\alpha_2, \\\\alpha_3$, and $\\\\alpha_4$ are the four distinct roots of the equation $x^4+2x^3+2=0$. Determine the unordered set \\\\[\\n\\\\{\\\\alpha_1\\\\alpha_2 + \\\\alpha_3\\\\alpha_4, \\\\alpha_1\\\\alpha_3 + \\\\alpha_2\\\\alpha_4, \\\\alpha_1\\\\alpha_4 + \\\\alpha_2\\\\alpha_3\\\\}.\\n\\\\]\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}