Answer:
You will find me with four legs, but no hair. People ride me for hours, but I don't go anywhere without needing to be tugged. Jerked or turned on, I always manage to be ready for work.
Dies half its life. Lives the rest. Dances without music. Breathes without breath.
Hard to catch, easy to hold. Can't be seen, unless it's cold
I am the hole in the night, the ever watchful eye. I return in a cycle, to enlighten the sky.
What lies in a tunnel of darkness. That can only attack when pulled back?
I am the kind of an ant that's good at math. What am I?