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When x^9 - x is factorized as completely as possible into polynomials and monomials with integral coefficients, how many factors are there?

x^9-x=x(x^8-1)=x(x^4+1)(x^4-1)=x(x^4+1)(x^2+1)(x^2-1)=x(x^4+1)(x^2+1)(x+1)(x-1)--> 5 factors

How many integer solutions are there to the system of equations below and which are those solutions?

x^2+y-z = 42 x+y^2-z = 18