{"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":"f177011a-fa0e-5082-a11f-e449e4f31a23","task_key":"precalculus--test--f177011a-fa0e-5082-a11f-e449e4f31a23","task_revision_id":"1","upstream_id":"","short_description":"Suppose the function $\\psi$ satisfies $\\psi(1) = \\sqrt{2 + \\sqrt{2 + \\sqrt{2}}}$…","config":"precalculus","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Suppose the function $\\\\psi$ satisfies $\\\\psi(1) = \\\\sqrt{2 + \\\\sqrt{2 + \\\\sqrt{2}}}$ and\\n\\\\[\\\\psi(3x) + 3 \\\\psi(x) = \\\\psi^3(x)\\\\]for all real $x.$  Determine $\\\\prod_{n = 1}^{100} \\\\psi(3^n).$\",\"type\":\"Precalculus\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}