[en] On the basis of processing the photographs taken from the 1 m propan-freon bubble chamber (Laboratory of Nuclear Problems, JINR irradiated with approximately 5 GeV/c π^--mesons on the JIR synchrophasotron, there are measured cross sections and investigated some characteristics of incherent reactions π^-A→ π^-πN ^-A' (on carbon nucleus and propan-freon muxture nuclei) and π^-A → π^- rho deg A' (on propan-freon mixture nuclei), which satisfy a kinematics of single-nucleon reactions. From the comparison with nucleon data, the cross sections of interaction of non-resonant dimeson systems (π^-π^-) and (π^-rho deg) with nucleon are estimated. A conclusion is made that mesons with momenta up to some GeV/c are formed inside nucleus