We review the five-point correlation function of external scalar operators in the conformal field theory. We show how to compute the five-point conformal blocks for arbitrary spin of exchanged operators in any spacetime dimension using only two quadratic Casimir differential equations and the appropriate ansatz of the conformal blocks. We then consider the five-point correlators in the free theory and the critical Ising model in three-dimensional spacetime. We truncate the operator product expansions (OPE) in the correlators to include just a finite number of exchanged operators and use the crossing symmetry to numerically compute the OPE coefficients of two spinning and one scalar operator. These OPE coefficients were not previously known in the 3d critical Ising model.