1985 AHSME Problem 7

In some computer languages (such as APL), when there are no parentheses in an algebraic expression, the operations are grouped from right to left. Thus, a\times b-c in such languages means the same as a(b-c) in ordinary algebraic notation. If a\div b-c+d is evaluated in such a language, the result in ordinary algebraic notation would be

\mathrm{(A)\ } \frac{a}{b}-c+d \qquad \mathrm{(B) \ }\frac{a}{b}-c-d \qquad \mathrm{(C) \ } \frac{d+c-b}{a} \qquad \mathrm{(D) \ } \frac{a}{b-c+d} \qquad \mathrm{(E) \ }\frac{a}{b-c-d}

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