{"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":"b45274e7-ad8d-56bd-90f4-b7b72c66b201","task_key":"test--b45274e7-ad8d-56bd-90f4-b7b72c66b201","task_revision_id":"1","upstream_id":"","short_description":"Suppose that $X_1, X_2, \\dots$ are real numbers between 0 and 1 that are chosen…","config":"","split":"test","body":"{\"problem\":\"Suppose that $X_1, X_2, \\\\dots$ are real numbers between 0 and 1 that are chosen independently and uniformly at random. Let $S = \\\\sum_{i=1}^k X_i/2^i$, where $k$ is the least positive integer such that $X_k < X_{k+1}$, or $k = \\\\infty$ if there is no such integer. Find the expected value of $S$.\"}","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":[]}