{"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":"9b8cd8f9-065e-54d1-be4b-c4ea4d75e5f1","task_key":"test--9b8cd8f9-065e-54d1-be4b-c4ea4d75e5f1","task_revision_id":"1","upstream_id":"","short_description":"Let $X_{1}, \\cdots, X_{n}$ be $n$ independent and identically distributed…","config":"","split":"test","body":"{\"problem\":\"Let $X_{1}, \\\\cdots, X_{n}$ be $n$ independent and identically distributed observations from the Cauchy distribution with density function $f(x)=\\\\frac{1}{\\\\pi} \\\\frac{1}{1+(x-\\\\theta)^{2}}, x \\\\in \\\\mathbb{R}$. b) Can you find an unbiased estimator $T$ that attains the lower bound in part a)? If yes, please construct one. If no, please show why such an estimator does not exist.\"}","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":[]}