{"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":"2c3693dc-a221-5674-a8a0-ac6bc19c9840","task_key":"test--2c3693dc-a221-5674-a8a0-ac6bc19c9840","task_revision_id":"1","upstream_id":"","short_description":"Find the smallest real constant $\\alpha$ such that for all positive integers $n$…","config":"","split":"test","body":"{\"problem\":\"Find the smallest real constant $\\\\alpha$ such that for all positive integers $n$ and real numbers $0=y_{0}<$ $y_{1}<\\\\cdots<y_{n}$, the following inequality holds: $\\\\alpha \\\\sum_{k=1}^{n} \\\\frac{(k+1)^{3 / 2}}{\\\\sqrt{y_{k}^{2}-y_{k-1}^{2}}} \\\\geq \\\\sum_{k=1}^{n} \\\\frac{k^{2}+3 k+3}{y_{k}}$.\"}","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":[]}