1974 AHSME Problem 30

A line segment is divided so that the lesser part is to the greater part as the greater part is to the whole. If R is the ratio of the lesser part to the greater part, then the value of

R^{[R^{(R^2+R^{-1})}+R^{-1}]}+R^{-1}

is

\mathrm{(A)\ } 2 \qquad \mathrm{(B) \ }2R \qquad \mathrm{(C) \ } R^{-1} \qquad \mathrm{(D) \ } 2+R^{-1} \qquad \mathrm{(E) \ }2+R

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.