Answer:
I go up when the rain comes down
I help engines spin and pants stay up
Of the king I am blue and of the peasant I am red. Of the frog I am cold and of the dog I am hot instead.
I am in the past, never in the future. I don't exist, but have existed. I saw what you saw, and this is what I will ever see. What am I?
I am a ship that can be made to ride the greatest waves. I am not built by objects but built by minds.
I am the kind of an ant that's good at math. What am I?