Suppose a, b, c are real numbers and the following equation is true.
(a + b – 5)2 + (b + 2c + 3)2 + (c + 3a – 10)2 = 0
Find the integer closest to a3 + b3 + c3.
How many integer solutions are there to the system of equations below and which are those solutions?
x^2+y-z = 42 x+y^2-z = 18
