param s2 := sqrt(2);
var        x1 >= -2.3, <= -1e-3;
var        x2 >= 1e-3, <= 2.3;
var        x3 >= 1e-3, <= 3.2;
var        x4 >= -3.2, <= -1e-3;
var        x5 >= -3.2, <= -1e-3;

minimize f:
        exp(x1 * x2 * x3 * x4 * x5);
subject to
cons1:         x1^2 + x2^2 + x3^2 + x4^2 + x5^2 = 10;
cons2:         x2*x3 = 5*x4*x5;
cons3:         x1^3 + x2^3 + 1 = 0;


solve;
display x1, x2, x3, x4, x5;