It can perform exact, numeric, symbolic and graphic computation, e.g. arbitrary-precision calculation, solve equation, plot data and user-defined functions, linear regression, symbolic differentation and integration, pattern-match. It is a programming language, in which you can define conditional, case, piecewise, recursive, multi-value functions and procedures, derivatives, integrals and rules.

Examples:
differentiation: 		D(x^6, x);
2th-order differentiation: 	D(x^6, x, 2);
integration:			Int(x^6, x);
definite integration:		Int(x^6, x, 1,2);
Taylor series:			Taylor(Exp(x), x);
big integer:			100!;
numeric:			N(Sin(I));
numeric solve equation:         NSolve(x^2,x);
rule:				f(x_):=x_^2;
Plot:				Plot(x^2,x);