problems = {HoldForm[ZTransform[UnitStep[n], n, z]],
HoldForm[ZTransform[E^(-\[Alpha] n), n, z]],
HoldForm[ZTransform[Sin[\[Alpha] n], n, z]],
HoldForm[ZTransform[n^3 + 3 n + 1, n, z]],
HoldForm[ZTransform[n^k, n, z]],
HoldForm[ZTransform[n a^n/((n + 1) (n + 2)), n, z]],
HoldForm[ZTransform[ChebyshevU[n, x], n, z]],
HoldForm[ZTransform[LaguerreL[n, x], n, z]],
HoldForm[ZTransform[a^n Cos[Pi n], n, z]],
HoldForm[ZTransform[n^2 2^(-n), n, z]],
HoldForm[ZTransform[Sum[f[m], {m, 0, n}], n, z]],
HoldForm[ZTransform[f[n + 1], n, z]],
HoldForm[ZTransform[(m + 1) (n - m), {n, m}, {u, v}]],
HoldForm[ZTransform[a^n m^3, {n, m}, {u, v}]]};