{"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":"9c8b73b3-9b29-53c4-b7f2-1fddb8cd451a","task_key":"test--9c8b73b3-9b29-53c4-b7f2-1fddb8cd451a","task_revision_id":"1","upstream_id":"","short_description":"Regular tetrahedron $A B C D$ is projected onto a plane sending $A, B, C$, and…","config":"","split":"test","body":"{\"problem\":\"Regular tetrahedron $A B C D$ is projected onto a plane sending $A, B, C$, and $D$ to $A^{\\\\prime}, B^{\\\\prime}, C^{\\\\prime}$, and $D^{\\\\prime}$ respectively. Suppose $A^{\\\\prime} B^{\\\\prime} C^{\\\\prime} D^{\\\\prime}$ is a convex quadrilateral with $A^{\\\\prime} B^{\\\\prime}=A^{\\\\prime} D^{\\\\prime}$ and $C^{\\\\prime} B^{\\\\prime}=C^{\\\\prime} D^{\\\\prime}$, and suppose that the area of $A^{\\\\prime} B^{\\\\prime} C^{\\\\prime} D^{\\\\prime}=4$. Given these conditions, the set of possible lengths of $A B$ consists of all real numbers in the interval $[a, b)$. Compute $b$.\"}","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":[]}