1976 AHSME Problem 15

If r is the remainder when each of the numbers 1059,~1417, and 2312 is divided by d, where d is an integer greater than 1, then d-r equals

\textbf{(A) }1\qquad \textbf{(B) }15\qquad \textbf{(C) }179\qquad \textbf{(D) }d-15\qquad \textbf{(E) }d-1

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