Answer:
Adored by few, feared and hated by many. Mistress of the entire universal reason, master in the art of numbers. Some may have solved many of my mysteries, but there are still many of them to find. What am I?
I am taken from a mine and shut in a wooden case from which I am never released. Yet I am used by almost everybody. What am I?
I'm at the head of an elephant and at the tail of a squirrel
I am a word. I become longer when the third letter is removed.
I am a tale in childrens' minds. Though an illusion, I occur every night. I give them a fantasy, I give them a fright. What am I?
Runs over fields and woods all day. Under the bed at night sits not alone, With long tongue hanging out, Resting at your feet until we go for a walk