Common Sense and Science Rage!!!!!!!!!!!!!

Apostrophe is derivative. ${A}({n})$ is the sum of the digits in the simplest form of a number using radicals and logarithms. The number of minutes our group wasted in calculations by not letting me do them is ${R}({4})$ . ${R}({n})={F}({{e}^{n}})-n+{A}({S}({n}))$ . ${S}({n})=({z}'({n})/{y}'({n}))*1/({z}'({n)})/n)*1/({\ln}({n})/{y}'({n}))$ where ${z}({n})={x^n}$ and ${y}({n})={n^x}$ . ${S}({n})$ can also be represented as ${n}/{{F}({n})}$ .Find the number of minutes my group wasted.