{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"mmlu-pro","formal_name":"MMLU-Pro","introduction":"MMLU-Pro rebuilds MMLU with ten answer options instead of four and removes items that no longer separate models. Questions span fourteen academic and professional subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","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":"b3f6b05d-0fde-5b19-a066-72df28723334","task_key":"default--test--10094","task_revision_id":"1","upstream_id":"10094","short_description":"An airplane propeller, of moment of inertia I, is subject to the driving torque…","config":"default","split":"test","body":"{\"category\":\"physics\",\"options\":\"['exttheta = \\\\texttheta_0 + (b / I)t + [\\\\x07lphaN_0 / (I \\\\\\\\omega_0^2 + b \\\\\\\\omega_0^3)][I\\\\\\\\omega_0sin\\\\\\\\omega_0t + b cos \\\\\\\\omega_0t]', 'exttheta = \\\\texttheta_0 + (N_0 / b)t + [\\\\x07lphaN_0 / (I^2 \\\\\\\\omega_0^3 + b^2 \\\\\\\\omega_0)][I\\\\\\\\omega_0cos\\\\\\\\omega_0t - b sin \\\\\\\\omega_0t]', 'exttheta = \\\\texttheta_0 + (b / N_0)t + [\\\\x07lphaN_0 / (I^2 \\\\\\\\omega_0^2 + b \\\\\\\\omega_0^3)][b cos \\\\\\\\omega_0t - I\\\\\\\\omega_0sin\\\\\\\\omega_0t]', 'exttheta = \\\\texttheta_0 + (b / N_0)t + [\\\\x07lphaN_0 / (I^2 \\\\\\\\omega_0^3 + b^2 \\\\\\\\omega_0)][b sin \\\\\\\\omega_0t - I\\\\\\\\omega_0cos\\\\\\\\omega_0t]', 'exttheta = \\\\texttheta_0 + [\\\\x07lphaN_0 / (I \\\\\\\\omega_0 + b^2 \\\\\\\\omega_0^2)][b sin \\\\\\\\omega_0t - I\\\\\\\\omega_0cos\\\\\\\\omega_0t]', 'exttheta = \\\\texttheta_0 + (N_0 / I)t + [\\\\x07lphaN_0 / (I \\\\\\\\omega_0^2 + b^2 \\\\\\\\omega_0)][I\\\\\\\\omega_0cos\\\\\\\\omega_0t + b sin \\\\\\\\omega_0t]', 'exttheta = \\\\texttheta_0 + (I / N_0)t + [\\\\x07lphaN_0 / (b \\\\\\\\omega_0^2 + I \\\\\\\\omega_0^3)][I\\\\\\\\omega_0sin\\\\\\\\omega_0t - b cos \\\\\\\\omega_0t]', 'exttheta = \\\\texttheta_0 + (N_0^2 / b)t + [\\\\x07lpha / (I \\\\\\\\omega_0^3 + b^2 \\\\\\\\omega_0^2)][b sin \\\\\\\\omega_0t - I\\\\\\\\omega_0cos\\\\\\\\omega_0t]', 'exttheta = \\\\texttheta_0 + (N_0 / b)t + [\\\\x07lphaN_0 / (I^2 \\\\\\\\omega_0^3 + b^2 \\\\\\\\omega_0)][b sin \\\\\\\\omega_0t - I\\\\\\\\omega_0cos\\\\\\\\omega_0t]', 'exttheta = \\\\texttheta_0 + (N_0 / I)t + [\\\\x07lphaN_0 / (b^2 \\\\\\\\omega_0^3 + I^2 \\\\\\\\omega_0)][b sin \\\\\\\\omega_0t - I\\\\\\\\omega_0cos\\\\\\\\omega_0t]']\",\"question\":\"An airplane propeller, of moment of inertia I, is subject to the driving torque N = N_0 (1 + \\\\alphacos\\\\omega_0t), and a frictional torque due to air resistanceN_f= -b\\\\texttheta ֹ . Find its steady state motion.\",\"src\":\"stemez-Mechanics\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}