{"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":"8b437ae0-980c-5dac-abca-8b491a9e9a8b","task_key":"intermediate~5falgebra--test--8b437ae0-980c-5dac-abca-8b491a9e9a8b","task_revision_id":"1","upstream_id":"","short_description":"Let $p$ be an integer, and let the roots of","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $p$ be an integer, and let the roots of\\n\\\\[f(x) = x^4 - 6x^3 + 26x^2 + px + 65\\\\]be $a_k + ib_k$ for $k = 1,$ $2,$ $3,$ $4.$  Given that the $a_k,$ $b_k$ are all integers, and that none of the roots are real, find $p.$\",\"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":[]}