{"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":"805a5924-0019-5ea0-bf02-e038c8ba9991","task_key":"test--805a5924-0019-5ea0-bf02-e038c8ba9991","task_revision_id":"1","upstream_id":"","short_description":"Three noncollinear points and a line $\\ell$ are given in the plane. Suppose no…","config":"","split":"test","body":"{\"problem\":\"Three noncollinear points and a line $\\\\ell$ are given in the plane. Suppose no two of the points lie on a line parallel to $\\\\ell$ (or $\\\\ell$ itself). There are exactly $n$ lines perpendicular to $\\\\ell$ with the following property: the three circles with centers at the given points and tangent to the line all concur at some point. Find all possible values of $n$.\"}","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":[]}