{"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":"f832270f-9c8a-55f2-a81f-a5345332ec4d","task_key":"test--f832270f-9c8a-55f2-a81f-a5345332ec4d","task_revision_id":"1","upstream_id":"","short_description":"Define the function $f: \\mathbb{R} \\rightarrow \\mathbb{R}$ by $$f(x)=…","config":"","split":"test","body":"{\"problem\":\"Define the function $f: \\\\mathbb{R} \\\\rightarrow \\\\mathbb{R}$ by $$f(x)= \\\\begin{cases}\\\\frac{1}{x^{2}+\\\\sqrt{x^{4}+2 x}} & \\\\text { if } x \\\\notin(-\\\\sqrt[3]{2}, 0] \\\\\\\\ 0 & \\\\text { otherwise }\\\\end{cases}$$ The sum of all real numbers $x$ for which $f^{10}(x)=1$ can be written as $\\\\frac{a+b \\\\sqrt{c}}{d}$, where $a, b, c, d$ are integers, $d$ is positive, $c$ is square-free, and $\\\\operatorname{gcd}(a, b, d)=1$. Find $1000 a+100 b+10 c+d$.\"}","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":[]}