{"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":"02353cd4-8059-525e-abd6-877bf1ecad61","task_key":"test--02353cd4-8059-525e-abd6-877bf1ecad61","task_revision_id":"1","upstream_id":"","short_description":"Consider an isosceles triangle $T$ with base 10 and height 12. Define a sequence…","config":"","split":"test","body":"{\"problem\":\"Consider an isosceles triangle $T$ with base 10 and height 12. Define a sequence $\\\\omega_{1}, \\\\omega_{2}, \\\\ldots$ of circles such that $\\\\omega_{1}$ is the incircle of $T$ and $\\\\omega_{i+1}$ is tangent to $\\\\omega_{i}$ and both legs of the isosceles triangle for $i>1$. Find the ratio of the radius of $\\\\omega_{i+1}$ to the radius of $\\\\omega_{i}$.\"}","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":[]}