How many ordered quintuples (a, b,c, d,e) have coordinate of value -1,0,1 and satisfy a+b^2+c^3+d^4+e^5= 2?

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb