The number of values of \( z \) (real or complex) simultaneously sa...

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The number of values of \( z \) (real or complex) simultaneously satisfying the system of equation \( x \)
\( \mathrm{P} \)
\[
1+z+z^{2}+z^{3}+\ldots+z^{17}=0
\]
W
and \( \quad 1+z+z^{2}+z^{3}+\ldots+z^{13}=0 \) is
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