(Maxima is free software, but it is not a GNU package. However, the GNU web site has long had this page about it, so it will remain for reference.)
Maxima is a fairly complete computer algebra system written in lisp with an emphasis on symbolic computation. It is based on DOE-MACSYMA and licensed under the GPL. Its abilities include symbolic integration, 3D plotting, and an ODE solver.
The complete Maxima distribution is available from http://sourceforge.net/projects/maxima.
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Free Software Foundation, Inc.
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Updated: $Date: 2006/07/10 23:37:40 $ $Author: karl $