{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"frontierscience","formal_name":"FrontierScience","introduction":"専門的な科学課題を解く能力を評価するベンチマークです。公開データはolympiadとresearchに分かれ、競技問題と研究課題を区別して扱います。\n\nFrontierScience evaluates the ability to solve expert-level scientific tasks. Its public data separates olympiad and research problems so that competition and research tasks can be examined independently.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/openai/frontierscience","indexing_mode":"noindex"},"task_id":"b7cd58d2-9810-5f8b-8f61-9b16605a4509","task_key":"olympiad--test--8a983c4c~2d070e~2d45b1~2db2ce~2d300c7a68feb6","task_revision_id":"1","upstream_id":"8a983c4c-070e-45b1-b2ce-300c7a68feb6","short_description":"Consider that we have a uniform rope of length `\\( L \\)` and unit linear density…","config":"olympiad","split":"test","body":"{\"problem\":\"Consider that we have a uniform rope of length `\\\\( L \\\\)` and unit linear density (\\\\( \\\\rho = 1 \\\\)), with each end attached to two long frictionless rods that are fixed. The ends of the rope cannot fall off the rods. In the \\\\(x-y\\\\) plane, one rod is a ray from the origin \\\\( \\\\mathcal{O} \\\\) pointing in the direction of \\\\( \\\\pi/3 \\\\), and the other rod is a ray from \\\\( \\\\mathcal{O} \\\\) going in the direction of \\\\( -\\\\pi/3 \\\\) (here, a positive angle means clockwise from the \\\\(x\\\\)-axis, and a negative angle means counterclockwise). The ends of the rope are free to slide along the rods, and there is a uniform unit gravitational field in the x-direction (\\\\( \\\\overrightarrow{g} = 1 \\\\hat{i} \\\\)). If the equation of the rope in equilibrium is given by `\\\\( x = \\\\frac{L}{2\\\\sqrt{3}}f(y)\\\\)`, find \\\\( f(y) \\\\). Note that `\\\\( f(y) \\\\)` is a function of the y-coordinate and may depend on \\\\( L \\\\) as well.\\n\\nThink step by step and solve the problem below. At the end of your response, write your final answer on a new line starting with “FINAL ANSWER”. It should be an answer to the question such as providing a number, mathematical expression, formula, or entity name, without any extra commentary or providing multiple answer attempts.\",\"subject\":\"physics\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/openai/frontierscience","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}