SymPy is a Python library for symbolic computation. It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live or SymPy Gamma.
License: Open Source
Microsoft Mathematics is a user-friendly tool primarily aimed at students, providing step-by-step solutions and a graphical interface but is limited in scope and platform. In contrast, SymPy is a powerful, open-source Python library for symbolic mathematics, offering extensive capabilities for advanced users but requiring programming knowledge.