{"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":"c9f0be4b-b9d1-5948-8fb9-dffe9f2da130","task_key":"intermediate~5falgebra--test--c9f0be4b-b9d1-5948-8fb9-dffe9f2da130","task_revision_id":"1","upstream_id":"","short_description":"Let $P(x),$ $Q_1(x),$ $Q_2(x),$ $Q_3(x),$ $R(x)$ be polynomials such that","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $P(x),$ $Q_1(x),$ $Q_2(x),$ $Q_3(x),$ $R(x)$ be polynomials such that\\n\\\\begin{align*}\\nP(x) &= Q_1(x) (x + 2) - 13 \\\\\\\\\\n&= Q_2(x) (x^2 - 3x - 4) - 5x - 11 \\\\\\\\\\n&= Q_3(x) (x + 2) (x^2 - 3x - 4) + R(x),\\n\\\\end{align*}and $\\\\deg R(x) = 2.$  Find $R(x).$\",\"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":[]}