#5975
SageMath (previously called SAGE, short for System for Algebra and Geometry Experimentation) is a free and open-source mathematical software system for Windows, Mac and Linux platforms, developed at the University of Washington with over 100 mathematicians in 2005. It supports the research and teaching in algebra, geometry, number theory, cryptography, numerical computation, and related areas.

#5480
Maple is a general-purpose commercial computer algebra system (symbolic computing environment + numeric computing environment + multi-paradigm programming language) developed by Maplesoft (Waterloo Maple) from Canada in 1982. It is known as one of the three major mathematical software programs along with MATLAB and Mathematica, and its main competitor should be Mathematica