Answer:
I am alive without breath and cold as death. I am never thirsty but always drinking.
Every dawn begins with me. At dusk I'll be the first you see and daybreak couldn't come without. What midday centers all about. Daises grow from me I'm told. And when I come I end all code but in the sun I won't be found. Yet still each day I'll be around.
Never resting, never still. Moving silently from hill to hill. It does not walk, run or trot. All is cool where it is not. What is it?
I am an odd number. Take away a letter and I become even. What number am I?
I am a word. I become longer when the third letter is removed. What am I?
I will disappear every time you say my name.