{"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":"6fca7ca5-6685-56c1-8970-16ad7bb98818","task_key":"algebra--test--6fca7ca5-6685-56c1-8970-16ad7bb98818","task_revision_id":"1","upstream_id":"","short_description":"If $r$, $s$, and $t$ are constants such that $\\frac{x^{r-2}\\cdot y^{2s}\\cdot…","config":"algebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"If $r$, $s$, and $t$ are constants such that $\\\\frac{x^{r-2}\\\\cdot y^{2s}\\\\cdot z^{3t+1}}{x^{2r}\\\\cdot y^{s-4}\\\\cdot z^{2t-3}}=xyz$ for all non-zero $x$, $y$, and $z$, then solve for $r^s\\\\cdot t$. Express your answer as a fraction.\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}