{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"omni-math","formal_name":"Omni-MATH","introduction":"Omni-MATH evaluates mathematical reasoning on Olympiad-level problems. Its official dataset contains 4,428 problems accompanied by domain and difficulty information.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/KbsdJames/Omni-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":"b72ffa97-c933-50bb-b446-b1344ea88212","task_key":"test--b72ffa97-c933-50bb-b446-b1344ea88212","task_revision_id":"1","upstream_id":"","short_description":"Convex quadrilateral $A B C D$ has right angles $\\angle A$ and $\\angle C$ and is…","config":"","split":"test","body":"{\"problem\":\"Convex quadrilateral $A B C D$ has right angles $\\\\angle A$ and $\\\\angle C$ and is such that $A B=B C$ and $A D=C D$. The diagonals $A C$ and $B D$ intersect at point $M$. Points $P$ and $Q$ lie on the circumcircle of triangle $A M B$ and segment $C D$, respectively, such that points $P, M$, and $Q$ are collinear. Suppose that $m \\\\angle A B C=160^{\\\\circ}$ and $m \\\\angle Q M C=40^{\\\\circ}$. Find $M P \\\\cdot M Q$, given that $M C=6$.\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}