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Algebra Level 5

Given a function ff for which f(x)=f(398x)=f(2158x)=f(3214x)f(x) = f(398 - x) = f(2158 - x) = f(3214 - x) holds for all real xx, what is the largest number of different values that can appear in the list f(0),f(1),f(2),,f(999)?f(0),f(1),f(2),\ldots,f(999)?

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