[en] The πd-scattering processes with deuteron desintegration and charge exchange in the (3.3) resonance region are investigated in the framework of the three-body quasipotential approach, successfully used before for the πd-elastic scattering. The differential and integral cross sections for the deuteron break-up and charge exchange reactions, and the momentum distribution of the scattered pions are calculated in the single πN-scattering approximation the NN-final state interaction being taken into account. It is shown that: 1) the NN-final state interaction gives an important contribution to the cross sections, but the results of calculations show a small dependence on the off-shell behaviour of the NN collision matrix; 2) the difference between the total cross section and the sum of the elastic and inelastic πd-scattering cross sections amounts about 30% of the total cross section; 3) the present theory gives only the qualitative description of the available experimental data for differential cross sections. The reasons for this discrepancy are discussed. A new procedure for handling with the logarithmic singularity is proposed