{"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":"21aa8ee7-26ab-5d88-ba7a-7910b024413a","task_key":"test--21aa8ee7-26ab-5d88-ba7a-7910b024413a","task_revision_id":"1","upstream_id":"","short_description":"Let $A B C D$ be a quadrilateral inscribed in a unit circle with center $O$.…","config":"","split":"test","body":"{\"problem\":\"Let $A B C D$ be a quadrilateral inscribed in a unit circle with center $O$. Suppose that $\\\\angle A O B=\\\\angle C O D=135^{\\\\circ}, B C=1$. Let $B^{\\\\prime}$ and $C^{\\\\prime}$ be the reflections of $A$ across $B O$ and $C O$ respectively. Let $H_{1}$ and $H_{2}$ be the orthocenters of $A B^{\\\\prime} C^{\\\\prime}$ and $B C D$, respectively. If $M$ is the midpoint of $O H_{1}$, and $O^{\\\\prime}$ is the reflection of $O$ about the midpoint of $M H_{2}$, compute $O O^{\\\\prime}$.\"}","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":[]}