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Apart
(Built-in Mathematica Symbol) Apart[expr] rewrites a rational expression as a sum of terms with minimal denominators. Apart[expr, var] treats all variables other than var as constants.
Convergents[list] gives a list of the convergents corresponding to the continued fraction terms list.Convergents[x, n] gives the first n convergents for a number ...
Denominator[expr] gives the denominator of expr.
Numerator[expr] gives the numerator of expr.
PolynomialRemainder[p, q, x] gives the remainder from dividing p by q, treated as polynomials in x.
TrigExpand[expr] expands out trigonometric functions in expr.
TrigFactor[expr] factors trigonometric functions in expr.
LUDecomposition[m] generates a representation of the LU decomposition of a square matrix m.
EllipticTheta[a, u, q] gives the theta function \[CurlyTheta]_a (u, q) (a = 1, ..., 4).