In how many ways can you make change for a dollar using

pennies, nickels, dimes, quarters, and half-dollars?

so far I got

(1+x+x^2+x^3+...+x^100) <-- pennies

(1+x^5+x^10+x^15+....+x^100) <- nickels

(1+x^10+x^20+x^30+...+x^100) <- dimes

(1+x^25+x^50+x^75+x^100) <- quarters

(1+x^50+x^75+x^100) <- half dollars

and the generating function is

1/(1-x)(1-x^5)(1-x^10)(1-x^25)(1-x^50)

what do I do from here to get the answer I need?