{"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":"05ee45df-cb16-5e68-895d-366b6e863e46","task_key":"test--05ee45df-cb16-5e68-895d-366b6e863e46","task_revision_id":"1","upstream_id":"","short_description":"Given $a_0 > 0$ and $c > 0$, the sequence $(a_n)$ is defined by","config":"","split":"test","body":"{\"problem\":\"Given $a_0 > 0$ and $c > 0$, the sequence $(a_n)$ is defined by\\n\\\\[a_{n+1}=\\\\frac{a_n+c}{1-ca_n}\\\\quad\\\\text{for }n=1,2,\\\\dots\\\\]\\nIs it possible that $a_0, a_1, \\\\dots , a_{1989}$ are all positive but $a_{1990}$ is negative?\"}","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":[]}