Given $f(x_1,\dots,x_n)\in\mathbb Z[x_1,\dots,x_n]$ such that

Each coefficient is bound in absolute value by $B$

Degree of each variable in any monomial is bound by $d$

Total degree is $d'$

$f(x_1,\dots,x_n)$ is irreducible in $\mathbb Z[x_1,\dots,x_n]$

then what is the maximum number integral roots $(y_1,\dots,y_n)\in\mathbb Z^n$ it can have such that in a $\ell$ length cube?