Free and Open Source Alternative to Macsyma or Maple

Maxima is a free, open source computer algebra system, which is primarily used for symbolic computation, including differentiation and integration. However, it also offers support for numerical capabilities as well, such as floating-point arithmetic and arbitrary-precision arithmetic. The software is based on the 1982 version of Macsyma, which is one of the most widely-utilized computer algebra systems. With that said, it lacks some of the advanced functions that were added to Macsyma in later years, or that are found in more modern CAS packages.