Formula manipulation
Does Sage have anything similar to Mathematica formula manipulation functions listed below?
Extracting Parts of Formulas: Coefficient ▪ Exponent ▪ Part ▪ Numerator ▪ Denominator
Formula Rearrangement: Collect ▪ Together ▪ Apart ▪ Cancel
Equation Transformations: AddSides ▪ SubtractSides ▪ MultiplySides ▪ DivideSides ▪ ApplySides
Algebraic Transformations: PowerExpand ▪ ComplexExpand ▪ TrigExpand ▪ RootReduce ▪ ComplexityFunction