Let $f(x)$ be a polynomial with integer coefficients. There exist distinct integers $p,$ $q,$ $r,$ $s,$ $t$ such that
\[f(p) = f(q) = f(r) = f(s) = 1\]
and $f(t) > 1.$ What is the smallest possible value of $f(t)?$
+177 This is a repeated question. Here is the link to the answer I wrote for a previous poster: https://web2.0calc.com/questions/result-on-polynomials#r2
