{"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":"58b4f436-4189-5e41-a243-e323870a54a7","task_key":"test--58b4f436-4189-5e41-a243-e323870a54a7","task_revision_id":"1","upstream_id":"","short_description":"Let triangle $ABC$ have incircle $\\omega$, which touches $BC, CA$, and $AB$ at…","config":"","split":"test","body":"{\"problem\":\"Let triangle $ABC$ have incircle $\\\\omega$, which touches $BC, CA$, and $AB$ at $D, E$, and $F$, respectively. Then, let $\\\\omega_{1}$ and $\\\\omega_{2}$ be circles tangent to $AD$ and internally tangent to $\\\\omega$ at $E$ and $F$, respectively. Let $P$ be the intersection of line $EF$ and the line passing through the centers of $\\\\omega_{1}$ and $\\\\omega_{2}$. If $\\\\omega_{1}$ and $\\\\omega_{2}$ have radii 5 and 6, respectively, compute $PE \\\\cdot PF$.\"}","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":[]}