{"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":"b98bfe01-f483-52b2-a4ff-acd5a91263b0","task_key":"test--b98bfe01-f483-52b2-a4ff-acd5a91263b0","task_revision_id":"1","upstream_id":"","short_description":"For each real number $x$, let","config":"","split":"test","body":"{\"problem\":\"For each real number $x$, let\\n\\\\[\\nf(x) = \\\\sum_{n\\\\in S_x} \\\\frac{1}{2^n},\\n\\\\]\\nwhere $S_x$ is the set of positive integers $n$ for which $\\\\lfloor nx \\\\rfloor$ is even. What is the largest real number $L$ such that $f(x) \\\\geq L$ for all $x \\\\in [0,1)$? (As usual, $\\\\lfloor z \\\\rfloor$ denotes the greatest integer less than or equal to $z$.)\"}","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":[]}