# Not too reduced

Determine the smallest positive integer $$n$$ such that $$17n + 12 = x \times z$$ and $$n - 25 = y \times z$$, where $$x, y, \mbox{ and } z$$ are positive integers, $$x$$ and $$y$$ are coprime, and both $$y$$ and $$z$$ are strictly greater than $$1.$$

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