From the official Sage Project Web Site:
Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface.
Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.
Sage has many convenient features:
At some point, you might want to get your own copy of Sage and download it. But for now, use the SageMathCloud (SMC) service at https://cloud.sagemath.com. The cloud service is powerful and flexible, and let’s you use Sage, Python, R, iPython, LaTeX, and more through a web browser.