Mitotic Slime dies, triggering itself and Nim Deathmantle.
Resolve the Mitotic Slime trigger, creating two 2/2 Ooze creature tokens.
Activate Phyrexian Altar by sacrificing an Ooze, adding ({1} magic symbol) .
The Ooze dies, creating two 1/1 Ooze creature tokens.
Activate Phyrexian Altar twice by sacrificing two Oozes, adding ({2} magic symbol) .
Resolve the Nim Deathmantle trigger from step 2, causing you to pay ({4} magic symbol) to return Mitotic Slime from your graveyard to the battlefield, and attach Nim Deathmantle to it.