Adventures in parsing strings and constructing syntax trees for performing mathematical shenanigans. Just an exercise in learning Haskell ;)

• Parse and compute expressions with 5 operators (+ - * / ^) following PEMDAS without parenthesis
• Parse and compute expressions with 5 operators (+ - * / ^) with support for parentheses
• Reduce quadratic expressions to standard $ax^2 + bx + c$ form
• Find roots of quadratic expressions
• Solve simultaneous equations of an arbitrary number of variables using matrices