{"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":"c633eb05-9036-5fd4-a69e-f6df45dd18dc","task_key":"test--c633eb05-9036-5fd4-a69e-f6df45dd18dc","task_revision_id":"1","upstream_id":"","short_description":"Let $h(x,y)$ be a real-valued function that is twice continuously differentiable…","config":"","split":"test","body":"{\"problem\":\"Let $h(x,y)$ be a real-valued function that is twice continuously differentiable throughout $\\\\mathbb{R}^2$, and define\\n\\\\[\\\\rho(x,y) = yh_x - xh_y.\\\\]\\nProve or disprove: For any positive constants $d$ and $r$ with $d>r$, there is a circle $\\\\mathcal{S}$ of radius $r$ whose center is a distance $d$ away from the origin such that the integral of $\\\\rho$ over the interior of $\\\\mathcal{S}$ is zero.\"}","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":[]}