So the kind of slimes I'm thinking of are those with a nucleus or crystal core of sorts that acts as the slime's brains. Their body would be made of something like nerve cells that stick to each other in an elaborate mesh. This allows the core to control their body. They would be able to eat most stuff but the slimes would evolve to suit what they eat [say, if they were eating plenty of bones, they would evolve to be more corrosive, thus allowing them to eat/dissolve the bones faster becoming an Acid slime].
The slimes are not capable of communication [they don't know what that is] thus it's a slime eat slime world where bigger nasty slimes devour their smaller cousins [and whatever in their way - they make great lawn mowers]. However their size won't grow forever, they will stop at a certain limit depending on their evolution [can't have them bigger than the world]. When they reach their limit, they become capable of splitting into two.
But what kind of animals and plants would have evolved among these conditions and in general what kind of world would it be like? Assuming that the world composition is something like earth with the core, mantle and crust, oceans and whatnot.
I'm looking for what might be able to predate on the slimes and what adaptations the plants can have to counter the slimes