Slice hardboiled eggs in half and scoop out the yokes into a small mixing bowl.
Once all yokes are removed, add curry powder, cayenne or paprika, mayo, and salt. With a fork, mix well to create a fluffy well-incorporated mixture.
Place the yolk mixture into a small plastic zip bag, and cut the corner of the bag with scissors taking off about 1/4" of the corner. This will allow you to pipe the mixture into the hallowed egg whites. Pipe the mixture evenly into all of the hallowed egg whites. When finished, sprinkle cayenne or paprika over the top of the deviled eggs.
Using a paring knife, slice all the black olives in half lengthwise. Half of the olive becomes the "body" of the spider and is placed in the middle of the deviled egg. The other half needs to be sliced into 8 narrow strips, these become the "legs" of the spider body.
Assemble your "spiders" and serve!