Question: Let f(x) be a polynomial with integral coefficients. If ou f(1) = 0 (mod 2), f(2)=0 (mod 3), f(3) = 0 (mod 4), and

Let f(x) be a polynomial with integral coefficients. If ou f(1) = 0 (mod 2), f(2)=0 (mod 3), f(3) = 0 (mod 4), and f(4)=0 (mod 5), find a solution of the congruence f(x)=0 (mod 60).
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