Answer:
Take away my first letter take away my second letter take away all my letters and I would remain the same.
My first is second in line; I send shivers up your spine; not quite shining bright I glitter in the light.
You throw me out when you use me and take me in when you are done.
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?
Every night I'm told what to do and each morning I do what I'm told. But I still don't escape your scold
I flow from the Homerβs mouth when he sees doughnuts.