Math Predicates and quantifiers?

Let P(x, y) be the statement "x loves y", where the domain for both x and y is the set of all people in the world. Use quantifiers ( ∀, ∃) to express each of the following statements:

(a) Everybody loves Raymond.

(b) Everybody loves somebody.

(c) There is somebody whom everybody loves.

(d) There is somebody whom no one loves.

(e) Nobody loves everybody.

(f) Everybody loves himself.

(g) Everybody loves everybody.

(h) Someone loves at least two people.

(i) Someone loves exactly two people.

Thanks for the help.