Answer:
I can run but not walk. Wherever I go thought follows close behind.
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 run smoother than any rhyme I love to fall but cannot climb.
I am a seed with three letters in my name. Take away the last two and I still sound the same.
What always ends everything?
No matter how little or how much you use me, you change me every month.
What am I?
Animal
Difficult
Easy
Food
Funny
Kids
Logic