{"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":"225c6f79-134a-5285-9c0e-990bece2783a","task_key":"test--225c6f79-134a-5285-9c0e-990bece2783a","task_revision_id":"1","upstream_id":"","short_description":"Let $\\zeta=\\cos \\frac{2 \\pi}{13}+i \\sin \\frac{2 \\pi}{13}$. Suppose $a>b>c>d$ are…","config":"","split":"test","body":"{\"problem\":\"Let $\\\\zeta=\\\\cos \\\\frac{2 \\\\pi}{13}+i \\\\sin \\\\frac{2 \\\\pi}{13}$. Suppose $a>b>c>d$ are positive integers satisfying $$\\\\left|\\\\zeta^{a}+\\\\zeta^{b}+\\\\zeta^{c}+\\\\zeta^{d}\\\\right|=\\\\sqrt{3}$$ Compute the smallest possible value of $1000 a+100 b+10 c+d$.\"}","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":[]}