Question 97
How many integer solutions does the equation have
$$
x^2 + y^2 + z^2 - xy - yz - zx = x^3 + y^3 + z^3 + s,
$$
if
$$
a) s = 0;
$$
$$
b) s = 1?
$$
$$
x^2 + y^2 + z^2 - xy - yz - zx = x^3 + y^3 + z^3 + s,
$$
if
$$
a) s = 0;
$$
$$
b) s = 1?
$$