In previous work we have introduced some fault tolerance mechanisms to the parallel computer algebra system Distributed Maple such that a session may tolerate the failure of computing nodes and of connections between nodes without overall failure. In this paper, we extend this fault tolerance by some advanced mechanisms. The first one is the reconnection of a node after a connection failure such that a session does not deadlock. The second mechanism is the restarting of a node after a failure such that the session does not fail. The third mechanism is the change of the root node such that a session may tolerate also the failure of the root without overall failure.