Answer:
I have no head and a tail I lack but I do have arms and legs and back; I inhabit the palace the tavern the cot 'tis a beggarly residence where I am not. If a monarch were present (I tell you no fable) I still should be placed at the head of the table.
I am enjoyed by some despised by others. Some take me for granted some treasure me like a gift. I last forever unless you break me first.
I am a certain five-letter word and become shorter when you add two letters to me. What am I?
I only exist when you are here. Where you never were I can never be.
I am the kind of ant that's good at math.
I flow from the Homerβs mouth when he sees doughnuts.