A Mathematica script is simply a file containing Mathematica commands that you would normally evaluate sequentially in a Mathematica session. Writing a script is useful if ...

Eliminate[eqns, vars] eliminates variables between a set of simultaneous equations.

Cyclotomic[n, x] gives the n\[Null]^th cyclotomic polynomial in x.

Structural operations on polynomials. Here is a polynomial in one variable. Expand expands out products and powers, writing the polynomial as a simple sum of terms.

ContinuedFraction[x, n] generates a list of the first n terms in the continued fraction representation of x. ContinuedFraction[x] generates a list of all terms that can be ...

TrigReduce[expr] rewrites products and powers of trigonometric functions in expr in terms of trigonometric functions with combined arguments.

Mathematica immediately allows you to do arithmetic not only with individual numbers, but also with arbitrary lists or arrays—as well as symbolic and algebraic forms. ...

Bringing together Mathematica's powerful capabilities in numerics, algebraic computation and now also geometric computation, Version 6.0 took the state of the art for ...

CharacterEncoding is an option for input and output functions which specifies what raw character encoding should be used.

x^y gives x to the power y.