I-Maxima iwuhlelo lokukhohliswa kwezinkulumo ezingokomfanekiso nezinombolo, okuhlanganisa ukuhlukanisa, ukuhlanganiswa, uchungechunge lukaTaylor, ukuguqulwa kwe-Laplace, izilinganiso ezijwayelekile zomehluko, amasistimu ezibalo zomugqa, ama-polynomials, amasethi, izinhlu, ama-vector, ama-matrices nama-tensor. I-Maxima iveza imiphumela yezinombolo enembayo ephezulu ngokusebenzisa amafrakshini anembile, izinombolo ezinembile ngokunganaki kanye nezinombolo zamaphuzu antantayo anembayo. UMaxima angakwazi ukuhlela imisebenzi nedatha ngezinhlangothi ezimbili nezintathu. Ikhodi yomthombo ye-Maxima ingahlanganiswa kumasistimu amaningi, okuhlanganisa i-Windows, Linux, ne-MacOS X. Ikhodi yomthombo yawo wonke amasistimu namabhinari ahlanganiswe ngaphambilini e-Windows ne-Linux ayatholakala kumphathi wefayela le-SourceForge.