{"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":"a960ecfb-b7f5-5169-9b07-bebc9525f215","task_key":"intermediate~5falgebra--test--a960ecfb-b7f5-5169-9b07-bebc9525f215","task_revision_id":"1","upstream_id":"","short_description":"Let $a$ and $b$ be real numbers. Let $r,$ $s,$ and $t$ be the roots of \\[f(x) =…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $a$ and $b$ be real numbers. Let $r,$ $s,$ and $t$ be the roots of \\\\[f(x) = x^3 + ax^2 + bx - 1,\\\\]and then let $g(x) = x^3 + mx^2 + nx + p$ be a polynomial with roots $r^2,$ $s^2,$ and $t^2.$ If $g(-1) = -5,$ find the greatest possible value for $b.$\",\"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":[]}