MathDB
Math Prize 2017 Problem 8

Source:

September 26, 2017
Math Prize for Girlscomplex numbers

Problem Statement

Let cc be a complex number. Suppose there exist distinct complex numbers rr, ss, and tt such that for every complex number zz, we have (z−r)(z−s)(z−t)=(z−cr)(z−cs)(z−ct). (z - r)(z - s)(z - t) = (z - cr)(z - cs)(z - ct). Compute the number of distinct possible values of cc.
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