{"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":"9c0ca4d6-012e-58d5-901f-5b2b0a91d95f","task_key":"test--9c0ca4d6-012e-58d5-901f-5b2b0a91d95f","task_revision_id":"1","upstream_id":"","short_description":"Let $A B C$ be a triangle with $A B=7, B C=9$, and $C A=4$. Let $D$ be the point…","config":"","split":"test","body":"{\"problem\":\"Let $A B C$ be a triangle with $A B=7, B C=9$, and $C A=4$. Let $D$ be the point such that $A B \\\\| C D$ and $C A \\\\| B D$. Let $R$ be a point within triangle $B C D$. Lines $\\\\ell$ and $m$ going through $R$ are parallel to $C A$ and $A B$ respectively. Line $\\\\ell$ meets $A B$ and $B C$ at $P$ and $P^{\\\\prime}$ respectively, and $m$ meets $C A$ and $B C$ at $Q$ and $Q^{\\\\prime}$ respectively. If $S$ denotes the largest possible sum of the areas of triangles $B P P^{\\\\prime}, R P^{\\\\prime} Q^{\\\\prime}$, and $C Q Q^{\\\\prime}$, determine the value of $S^{2}$.\"}","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":[]}