This is a blessed loss. Mate can be forced, but a draw can be achieved under the fifty-move rule.
To probe all KQRPPvKB positions, these tables and their transitive dependencies are also required:
KQQRPvKB · KRPPvKB · KQRRPvKB · KQPPvKB · KQRBPvKB · KQRPPvK · KQRNPvKB · KQRPvKB