param N := 3;

var x{1..N};
var f{1..5};

minimize F:
sum {i in 1..5} f[i]^2;

subject to cons1:
f[1] = x[1]^2 + x[2]^2 + x[3]^2 - 1;

subject to cons2:
f[2] = x[1]^2 + x[2]^2 + (x[3] - 2)^2 - 1;

subject to cons3:
f[3] = x[1] + x[2] + x[3] - 1;

subject to cons4:
f[4] = x[1] + x[2] - x[3] + 1;

subject to cons5:
f[5] = x[1]^3 + 3*x[2]^2 + (5*x[3] - x[1] + 1)^2 - 36;

data;
var x:=
1	1
2	2
3	0;

solve;

display x;