{"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":"488e4d9e-b980-5713-8eee-0d5fd2034688","task_key":"intermediate~5falgebra--test--488e4d9e-b980-5713-8eee-0d5fd2034688","task_revision_id":"1","upstream_id":"","short_description":"Let $r_1,$ $r_2,$ $\\dots,$ $r_{98}$ be the roots of","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $r_1,$ $r_2,$ $\\\\dots,$ $r_{98}$ be the roots of\\n\\\\[x^{98} + x^{97} + x^{96} + \\\\dots + x^2 + x + 1 = 0.\\\\]Find\\n\\\\[\\\\frac{r_1^2}{r_1 + 1} + \\\\frac{r_2^2}{r_2 + 1} + \\\\dots + \\\\frac{r_{98}^2}{r_{98} + 1}.\\\\]\",\"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":[]}