# Stunning algebra ( January 8 – January 15, 2014 )

Mysterious n

Find the smallest integer n such that the expression     $\displaystyle\frac{14n+17}{n-9}$      is a fraction in the form     $\displaystyle\frac{pd}{qd}$    where p,q,d are positive integers,p and q are co-prime and neither q nor d equals 1.

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