SymPy online shell running on the Google App Engine. (source)

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About

This is just a regular Python shell, with the following command executed by default:

>>> from sympy.interactive import *

Example session

>>> e = (x+y)**5
>>> e.expand()
10*x**3*y**2 + 10*x**2*y**3 + 5*x*y**4 + 5*y*x**4 + x**5 + y**5
>>> sin(x).series(x, 0, 5)
x - 1/6*x**3 + O(x**5)
>>> integrate(1/(x**3+1), x)
-log(1 - x + x**2)/6 + log(1 + x)/3 + 3**(1/2)*atan(-3**(1/2)/3 +
2*x*3**(1/2)/3)/3
More information at http://docs.sympy.org/.

Other shells: