{"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":"2a5eed5a-8043-5398-a9d1-006869693f31","task_key":"precalculus--test--2a5eed5a-8043-5398-a9d1-006869693f31","task_revision_id":"1","upstream_id":"","short_description":"Let $f(x) = \\log_{10} \\left(\\sin(\\pi x) \\cdot \\sin(2 \\pi x) \\cdot \\sin (3 \\pi x)…","config":"precalculus","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Let $f(x) = \\\\log_{10} \\\\left(\\\\sin(\\\\pi x) \\\\cdot \\\\sin(2 \\\\pi x) \\\\cdot \\\\sin (3 \\\\pi x) \\\\cdots \\\\sin(8 \\\\pi x)\\\\right)$. The intersection of the domain of $f(x)$ with the interval $[0,1]$ is a union of $n$ disjoint open intervals. What is $n$?\",\"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":[]}