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Important Note:

Please cite the following article(s):
1. C. S. Pedamallu, L. Ozdamar, and T. CSendes. Interval Partitioning Approach for Continuous Global Optimization. In: Models and Algorithms for Global Optimization, eds: Torn, A., Zilinskas, J., Springer, 2007. ISBN-10:0-387-36720-9
2. C. S. Pedamallu, L. Ozdamar, T.Csendes, and T. Vinko, Efficient interval partitioning approach for global optimization, Journal of Global Optimization, Accepted, 2008. 

For original reference for the below problem please refer the above article.
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1:// hs87
nnoneq=4; //no of nonlinear equalities
nnonineq=0; //no of nonlinear inequalities
tineq=0; //total no inequalties
teq=6; //total no of equalities
dim=11; //dimension starts from 1.
Global optimia : -8654.42
Maximize: Z=0-((30*x7)+(31*x8)+(28*x9)+(29*x10)+(30*x11))
(0.000656500561892293*(x3^2))-(0.007629045301271*(x3*(x4*Cos(1.48477-x6))))-x1+300=0
(0.000656500561892293*(x4^2))-(0.007629045301271*(x3*(x4*Cos(1.48477+x6))))-x2=0
(0.00689584082973523*(x4^2))-(0.007629045301271*(x3*(x4*Sin(1.48477+x6))))-x5=0
(0.00689584082973523*(x3^2))-(0.007629045301271*(x3*(x4*Sin(1.48477-x6))))+200=0
x1-x7-x8=0
(x2-x9)-(x10+x11)=0
x1=[-400,400]
x2=[-1000,1000]
x3=[340,420]
x4=[340,420]
x5=[-1000,1000]
x6=[-0.5236,0.5236]
x7=[-300,300]
x8=[-100,100]
x9=[-100,100]
x10=[-100,100]
x11=[-800,800]

2:// Robot
nnoneq=2;
nnonineq=0;
tineq=0;
teq=2;
dim=14;
globalOptima=0.000;
Maximize: Z=0-(((x1-x8)^2)+((x2-x9)^2)+((x3-x10)^2)+((x4-x11)^2)+((x5-x12)^2)+((x6-x13)^2)+((x7-x14)^2))
(Cos(x1)+Cos(x2)+Cos(x3)+Cos(x4))+(Cos(x5)+Cos(x6)+(0.5*Cos(x7)))-4=0
(Sin(x1)+Sin(x2)+Sin(x3)+Sin(x4))+(Sin(x5)+Sin(x6)+(0.5*Sin(x7)))-4=0
x1=[-10,10]
x2=[-10,10]
x3=[-10,10]
x4=[-10,10]
x5=[-10,10]
x6=[-10,10]
x7=[-10,10]
x8=[-10,10]
x9=[-10,10]
x10=[-10,10]
x11=[-10,10]
x12=[-10,10]
x13=[-10,10]
x14=[-10,10]

3:// O32
nnoneq=0;
nnonineq=6;
tineq=6;
teq=0;
dim=5;
global optima=50740.7164
Maximize: Z=0-((37.293239*x1)+(0.8356891*(x5*x1))+(5.3578547*(x3^2))-40792.141)
(0.0056858*(x2*x5))+(0.0006262*(x1*x4))-(0.0022053*(x3*x5))-6.665593<=0
0-((0.0022053*(x3*x5))+(0.0056858*(x2*x5))+(0.0006262*(x1*x4))+85.334407)<=0
(0.0071317*(x2*x5))+(0.0021813*(x3^2))+(0.0029955*(x1*x2))-29.48751<=0
9.48751-(0.0071317*(x2*x5))-(0.0021813*(x3^2))-(0.0029955*(x1*x2))<=0
(0.0047026*(x3*x5))+(0.0019085*(x3*x4))+(0.0012547*(x1*x3))-15.699039<=0
10.699039-(0.0047026*(x3*x5))-(0.0019085*(x3*x4))-(0.0012547*(x1*x3))<=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]

4:// aircraftb
nnoneq=5;
nnonineq=0;
tineq=0;
teq=10;
dim=15;
global optima =0.00

0-(((x1+x6)^2)+((x2+x7)^2)+((x3+x8)^2)+((x4+x9)^2)+((x5+x10)^2))>=0
x1-((8.39*(x13*x14))-(0.727*(x12*x13))-(684.4*(x14*x15))+(63.5*(x14*x12)))=0
x2-((0.949*(x11*x13))+(0.173*(x11*x15)))=0
x3-((1.132*(x14*x12))-(0.716*(x11*x12))-(1.578*(x11*x14)))=0
(x11*x15)+x4=0
x5-(x11*x14)=0
x6+(3.933*x11)-(0.107*x12)-(0.126*x13)+(9.99*x15)+4.583=0
x7+(0.987*x12)+(22.95*x14)-1.4185=0
x8-(0.002*x11)+(0.235*x13)-(5.67*x15)+0.0921=0
x9-x12+x14-0.0084=0
(x10+x13)+(0.196*x15)+0.00071=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]
x4=[-1000,1000]
x5=[-1000,1000]
x6=[-1000,1000]
x7=[-1000,1000]
x8=[-1000,1000]
x9=[-1000,1000]
x10=[-1000,1000]
x11=[-1000,1000]
x12=[-1000,1000]
x13=[-1000,1000]
x14=[-1000,1000]
x15=[-1000,1000]

5:// hs053
nnoneq=0;
nnonineq=0;
tineq=0;
teq=3;
dim=5;
Global Optima= -4.09302326

Maximize Z=0-(((x1-x2)^2)+((x2+x3-2)^2)+((x4-1)^2)+((x5-1)^2))
x1+(3*x2)=0
x3+x4-(2*x5)=0
x2-x5=0
x1=[-10,10]
x2=[-10,10]
x3=[-10,10]
x4=[-10,10]
x5=[-10,10]

6://ex5_2_4
nnoneq=0;
nnonineq=3;
tineq=5;
teq=1;
dim=7;
Global optima = 450

Maximize Z=((5*x7)+(9*x4)+(15*x5)-x6)-((6*(x1*x4))+(16*(x2*x4))+(15*(x3*x4))+(6*(x1*x5))+(16*(x2*x5))+(15*(x3*x5)))
x1+x2+x3-1=0
x5+x7-200<=0
x4+x6-100<=0
(0.5*x7)+(3*(x1*x5))+(x2*x5)+(x3*x5)-(1.5*x5)<=0
(3*(x4*x1))+(x4*x2)+(x4*x3)-(2.5*x4)-(0.5*x6)<=0
(x3*x4)+(x3*x5)-50<=0
x1=[0,1]
x2=[0,1]
x3=[0,1]
x4=[0,100]
x5=[0,200]
x6=[0,100]
x7=[0,200]


7://hs056
nnoneq=4;
nnonineq=0;
tineq=0;
teq=4;
dim=7;
Global Optima=3.456

Maximize Z=(x5*(x6*x7))>=0
x5+(2*x6)+(2*x7)-(7.2000000000000002*(Sin(x4)^2))=0
x5-(4.2000000000000002*(Sin(x1)^2))=0
x7-(4.2000000000000002*(Sin(x3)^2))=0
x6-(4.2000000000000002*(Sin(x2)^2))=0
x1=[0,1000]
x2=[0,1000]
x3=[0,1000]
x4=[0,1000]
x5=[0,1000]
x6=[0,1000]
x7=[0,1000]

8://S355
nnoneq=5;
nnonineq=0;
tineq=0;
teq=5;
dim=8;
Global Optima=-44.1328

Maximize Z=0-((x1^2)+(x2^2))
(x5*x8)+(x6*x8)-(x7*x8)+x1-11=0
(x6*(x8*x5))-(x6*(x8*x7))-(10*x6)-(x5-x7+x8-x2)=0
(4*(x5*x8))+(4*(x6*x8))-(x7*x8)+x3-11=0
(8*(x6*(x8*x5)))-(2*(x6*(x8*x7)))-(2*x5)-(20*x6)+(0.5*x7)-(2*x8)+ x4=0
((x1^2)+(x2^2))-((x3^2)+(x4^2))=0
x1=[-10000,10000]
x2=[-10000,10000]
x3=[-10000,10000]
x4=[-10000,10000]
x5=[0.1,10000]
x6=[0.1,10000]
x7=[-10000,10000]
x8=[-10000,10000]

9://S203
nnoneq=3;
nnonineq=0;
tineq=0;
teq=3;
dim=5;
Global Optima=0.00

Maximize Z=0-((x1^2)+(x2^2)+(x3^2))
((1-x5)*x4)+x1-1.5=0
((1-(x5^2))*x4)+x2-2.25=0
((1-(x5^3))*x4)+x3-2.625=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]
x4=[-1000,1000]
x5=[-1000,1000]

10://ex9_1_4
nnoneq=4;
nnonineq=0;
tineq=0;
teq=9;
dim=10;
Global optima=37

Maximize Z=(4*x10)-x9
x5+(5*x6)-(3*x7)-x8+1=0
x4-x10=0
x3+(2*x9)-(3*x10)+4=0
x2+(2*x9)+(5*x10)-108=0
x1-(2*x9)+x10=0
(x1*x5)=0
(x2*x6)=0
(x4*x8)=0
(x3*x7)=0
x1=[0,200]
x2=[0,200]
x3=[0,200]
x4=[0,200]
x5=[0,200]
x6=[0,200]
x7=[0,200]
x8=[0,200]
x9=[0,200]
x10=[0,200]

11://mwright
nnoneq=3;
nnonineq=0;
tineq=0;
teq=3;
dim=5;
Global Optima=-1.288

Maximize Z=0-((x1^2)+((x1-x2)^2)+((x2-x3)^3)+((x3-x5)^4)+((x5-x4)^4))
(x1*x4)-2=0
(x2+x5)-((x3^2)+0.82842712474619029)=0
x1+(x2^2)+(x3^2)-6.2426406871192857=0
x1=[-10,10]
x2=[-10,10]
x3=[-10,10]
x4=[-10,10]
x5=[-10,10]

12://mhw4d
nnoneq=3;
nnonineq=0;
tineq=0;
teq=3;
dim=5;
Global Optima=-0.0293
Maximize Z=0-(((x1-1)^2)+((x1-x2)^2)+((x2-x3)^3)+((x3-x5)^4)+((x5-x4)^4))
(x1*x4)-2=0
x2+x5-(x3^2)-0.82842712474618996=0
x1+(x2^2)+(x3^3)-6.2426406871192901=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]
x4=[-1000,1000]
x5=[-1000,1000]

13://Genhs28
nnoneq=0;
nnonineq=0;
tineq=0;
teq=8;
dim=10;
Global optima= -0.927
Maximize Z= 0-(((x1+x2)^2)+((x2+x3)^2)+((x3+x4)^2)+((x4+x5)^2)+((x5+x6)^2)+((x6+x7)^2)+((x7+x8)^2)+((x8+x9)^2)+((x9+x10)^2))
x1+(2*x2)+(3*x3)-1=0
x2+(2*x3)+(3*x4)-1=0
x3+(2*x4)+(3*x5)-1=0
x4+(2*x5)+(3*x6)-1=0
x5+(2*x6)+(3*x7)-1=0
x6+(2*x7)+(3*x8)-1=0
x7+(2*x8)+(3*x9)-1=0
x8+(2*x9)+(3*x10)-1=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]
x4=[-1000,1000]
x5=[-1000,1000]
x6=[-1000,1000]
x7=[-1000,1000]
x8=[-1000,1000]
x9=[-1000,1000]
x10=[-1000,1000]

14://hs407
nnoneq=3;
nnonineq=0;
tineq=0;
teq=3;
dim=5;
Global optima=0.027
Maximize Z=0-(((x1-x2)^2)+((x2-x3)^3)+(((x3-x4)^2)^2)+(((x4-x5)^2)^2))
(x2^2)+(x3^3)+x1-3=0
x2+x4-(x3^2)-1=0
(x1*x5)-1=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]
x4=[-1000,1000]
x5=[-1000,1000]

15://dipigri
nnoneq=0;
nnonineq=4;
tineq=4;
teq=0;
dim=7;
Global optima=-680.63

Maximize Z=0-(((x1-10)^2)+(5*((x2-12)^2))+(x3^4)+(3*((x4-11)^2))+(10*(x5^6))+(7*(x6^2))+(x7^4)-(4*(x6*x7))-(10*x6)-(8*x7))
(2*(x1^2))+(3*(x2^4))+(4*(x4^2))+x3+(5*x5)-127<=0
(10*(x3^2))+(7*x1)+(3*x2)+x4-x5-282<=0
(x2^2)+(6*(x6^2))+(23*x1)-(8*x7)-196<=0
(4*(x1^2))+(x2^2)-(3*(x1*x2))+(2*(x3^2))+(5*x6)-(11*x7)<=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]
x4=[-1000,1000]
x5=[-1000,1000]
x6=[-1000,1000]
x7=[-1000,1000]

16://bt11
nnoneq=2;
nnonineq=0;
tineq=0;
teq=3;
dim=5;
Global optia=-0.825
Maximize Z=0-(((x1-1)^2)+((x1-x2)^2)+((x2-x3)^2)+((x3-x4)^4)+((x4-x5)^4))
(x2^2)+(x3^3)+x1-2.24264068711928=0
x2+x4-(x3^2)-0.82842712474619=0
(x1-x5)-2=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]
x4=[-1000,1000]
x5=[-1000,1000]

17://dengen1pa
nnoneq=0;
nnonineq=0;
tineq=0;
teq=14;
dim=20;
Global optima=-3.060
Maximize Z=0-((0.01*x2)+(33.332999999999998*x3)+(100*x4)+(0.01*x5)+(33.343000000000004*x6)+(100.01000000000001*x7)+(33.332999999999998*x8)+(133.33000000000001*x9)+(100*x10))
(0.0084100000000000008*x12)-(0.084059999999999996*x13)-(0.20666999999999999*x14)+(20.658000000000001*x16)+(1.0700000000000001*x18)-(10.5*x19)=0
(0.0062899999999999996*x11)-(0.20555000000000001*x12)-(4.1105999999999998*x13)+(101.04000000000001*x15)+(505.10000000000002*x16)-(256.72000000000003*x19)=0
(0.25220999999999999*x12)-(0.0025699999999999998*x11)-(6.2000000000000002*x14)+(1.0900000000000001*x17)=0
(0.0025200000000000001*x13)-(0.0000025741999999999998*x11)-(0.61975000000000002*x16)+(1.03*x20)=0
(0.002*x4)-(1.02*x10)+(100*x16)+(0.029999999999999999*x19)+(0.01*x20)=0
(0.02*x3)-(1.0600000000000001*x8)+(100*x14)+(0.029999999999999999*x17)+(0.01*x19)=0
(0.001*x3)+(0.01*x4)-(1.04*x9)+(100*x15)+(0.029999999999999999*x18)+(0.01*x19)=0
(0.001*x2)+(0.48899999999999999*x4)-(101.03*x7)+(100*x13)+(0.029999999999999999*x15)+(0.01*x16)=0
(0.01*x2)+(0.48899999999999999*x3)-(101.03*x6)+(100*x12)+(0.029999999999999999*x14)+(0.01*x15)=0
x1+(2*x2)+(2*x3)+(2*x4)+x5+(2*x6)+(2*x7)+x8+(2*x9)+x10-0.70784999999999998=0
(0.97799999999999998*x2)-(201*x5)+(100*x11)+(0.029999999999999999*x12)+(0.01*x13)=0
(0.00066666999999999996*x1)-(1.01*x4)+(200*x7)+(0.059999999999999998*x9)+(0.02*x10)=0
(0.0066667000000000002*x1)-(1.03*x3)+(200*x6)+(0.059999999999999998*x8)+(0.02*x9)=0
(0.32600000000000001*x1)-(101*x2)+(200*x5)+(0.059999999999999998*x6)+(0.02*x7)=0
x1=[0,1]
x2=[0,1]
x3=[0,1]
x4=[0,1]
x5=[0,1]
x6=[0,1]
x7=[0,1]
x8=[0,1]
x9=[0,1]
x10=[0,1]
x11=[0,1]
x12=[0,1]
x13=[0,1]
x14=[0,1]
x15=[0,1]
x16=[0,1]
x17=[0,1]
x18=[0,1]
x19=[0,1]
x20=[0,1]

18://hs108
nnoneq=0;
nnonineq=12;
tineq=12;
teq=0;
dim=9;
Global optima=0.866
Maximize Z=0-((0.5*(x2*x3))-(0.5*(x1*x4))-(0.5*(x3*x9))-(0.5*(x5*x8))+(0.5*(x5*x9))+(0.5*(x6*x7)))
(x6*x7)-(x5*x8)<=0
(x2*x3)-(x1*x4)<=0
0-(x3*x9)<=0
x5*x9<=0
(x7^2)+((x8-x9)^2)-1<=0
(x3^2)+(x4^2)-1<=0
((x3-x5)^2)+((x4-x6)^2)-1<=0
(x5^2)+(x6^2)-1<=0
(x1^2)+((x2-x9)^2)-1<=0
((x3-x7)^2)+((x4-x8)^2)-1<=0
((x1-x5)^2)+((x2-x6)^2)-1<=0
((x1-x7)^2)+((x2-x8)^2)-1<=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]
x6=[-100,100]
x7=[-100,100]
x8=[-100,100]
x9=[0,1]

19://s336
nnoneq=1;
nnonineq=0;
tineq=0;
teq=2;
dim=3;
Global optima=5.079
Maximize Z=(7*x1)-(6*x2)+(4*x3)
(5*x1)+(5*x2)-(3*x3)-6=0
(x1^2)+(2*(x2^2))+(3*(x3^2))-1=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]

20://hs080
nnoneq=3;
nnonineq=0;
tineq=0;
teq=3;
dim=5;
Global optima=-0.054
Maximize Z=0-(Exp(x1*(x2*(x3*(x4*x5)))))
(x1^2)+(x2^2)+(x3^2)+(x4^2)+(x5^2)-10=0
(x2*x3)-(5*(x4*x5))=0
(x1^3)+(x2^3)+1=0
x1=[-2.3,2.3]
x2=[-2.3,2.3]
x3=[-3.2,3.2]
x4=[-3.2,3.2]
x5=[-3.2,3.2]

21://s262
nnoneq=0;
nnonineq=0;
tineq=3;
teq=1;
dim=4;
Global optima=247
Maximize Z=0-((0.5*x1)+x2+(0.5*x3)+x4)
x1+x2+x3+x4-10<=0
(0.2*x1)+(0.5*x2)+x3+(2*x4)-10<=0
(2*x1)+x2+(0.5*x3)+(0.2*x4)-10<=0
x1+x2+x3-(2*x4)-6=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]

22://hs043
nnoneq=0;
nnonineq=3;
tineq=3;
teq=0;
dim=4;
Global optima=83.098
Maximize Z=(x1^2)+(x2^2)+(2*(x3^2))+(x4^2)-(5*x1)-(5*x2)-(21*x3)+(7*x4)
(x1^2)+(x2^2)+(x3^2)+(x4^2)+x1-x2+x3-x4-8<=0
(x1^2)+(2*(x2^2))+(x3^2)+(2*(x4^2))-x1-x4-10<=0
(2*(x1^2))+(x2^2)+(x3^2)+(2*x1)-x2-x4-5<=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]

23://median_socp_vareps
nnoneq=0;
nnonineq=3;
tineq=3;
teq=0;
dim=5;
Global optima=399.9999
Maximize Z=x1+x3+x4+x5
Sqrt((x1^2)+((x2-0.171747132)^2))-x3<=0
Sqrt((x1^2)+((x2-0.843266708)^2))-x4<=0
Sqrt((x1^2)+((x2-0.550375356)^2))-x5<=0
x1=[0,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]

24://fermat_socp_eps
nnoneq=0;
nnonineq=3;
tineq=3;
teq=0;
dim=5;
Global optima=300
Maximize Z=x3+x4+x5
Sqrt(0.00000002+(x1^2)+(x2^2))-x3<=0
Sqrt(0.00000002+((x1-4)^2)+(x2^2))-x4<=0
Sqrt(0.00000002+((x1-2)^2)+((x2-4)^2))-x5<=0
x1=[0,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]

25://lootsma
nnoneq=0;
nnonineq=2;
tineq=2;
teq=0;
dim=3;
Global optima=-1.414
Maximize Z=(6*(x1^2))-(11*x1)-x3-(x1^3)
4-((x1^2)+(x2^2)+(x3^2))<=0
(x1^2)+(x2^2)-(x3^2)<=0
x1=[0,5]
x2=[0,5]
x3=[0,5]

26://madsen
nnoneq=0;
nnonineq=6;
tineq=6;
teq=0;
dim=3;
Global optima=-0.616
Maximize Z=0-x3
0-(Cos(x2)+x3)<=0
(x1^2)+(x2^2)+(x1*x2)-x3<=0
Cos(x2)-x3<=0
0-(Sin(x1)+x3)<=0
0-(x3+(x1^2)+(x2^2)+(x1*x2))<=0
Sin(x1)-x3<=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]

27://bt4
nnoneq=1;
nnonineq=0;
tineq=0;
teq=2;
dim=3;
Global optima=45.511

Maximize Z=0-(x2-x1+(x1^3))
x1+x2+x3-1=0
(x1^2)+(x2^2)+(x3^2)-25=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]

28://bt8
nnoneq=2;
nnonineq=0;
tineq=0;
teq=2;
dim=5;
Global optima=-1.00

Maximize Z=0-((x1^2)+(x2^2)+(x5^2))
x1+(x2^2)-(x3^2)-1=0
(x1^2)+(x2^2)-(x4^2)-1=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]

29://bt12
nnoneq=3;
nnonineq=0;
tineq=0;
teq=3;
dim=5;
Global optima=-6.188

Maximize Z=0-((x2^2)+(0.01*(x1^2)))
x1+x2-(x3^2)-25=0
x1-(x5^2)-2=0
(x2^2)+(x1^2)-(x4^2)-25=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]

30://matrix2
nnoneq=0;
nnonineq=2;
tineq=2;
teq=0;
dim=6;
Global optmia=0.000

Maximize: Z=0-(((x1-x4)^2)+((x3-x6)^2)+(2*((x2-x5)^2)))
(x4*x6)-(x5^2)<=0
(x2^2)-(x1*x3)<=0
x1=[0,100]
x2=[-100,100]
x3=[0,100]
x4=[-100,0]
x5=[-100,100]
x6=[-100,0]

31://minmaxrb
nnoneq=0;
nnonineq=2;
tineq=4;
teq=0;
dim=3;
Global optima=0.000

Maximize: Z=0-x3
x1-x3-1<=0
1-(x1+x3)<=0
(10*x2)+x3-(10*(x1^2))<=0
(10*(x1^2))-(10*x2)+x3<=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
32://bt7
nnoneq=3;
nnonineq=0;
tineq=0;
teq=3;
dim=5;
Maximize: Z=0-(((x1-1)^2)+(100*((x2-(x1^2))^2)))
x1+(x5^2)-0.5=0
(x1*x2)-(x3^2)-1=0
x1+(x2^2)-(x4^2)=0
x1=[-100,100]
x2=[-100,100]
x3=[-100,100]
x4=[-100,100]
x5=[-100,100]

33://Steifold
nnoneq=3;
nnonineq=0;
tineq=0;
teq=3;
dim=4;
Global optima=2.5

Maximize: Z=(x1^2)+(0.5*(x2^2))+(x3^2)+(1.5*(x4^2))
(x1^2)+(x2^2)-1=0
(x3^2)+(x4^2)-1=0
(x1*x3)+(x2*x4)=0
x1=[-100000,100000]
x2=[-100000,100000]
x3=[-100000,100000]
x4=[-100000,100000]

34://ex9_2_5
nnoneq=3;
nnonineq=0;
tineq=0;
teq=7;
dim=8;
Maximize: Z=0-(((x7-2)^2)+((x8-3)^2))
(x3*x6)=0
(x2*x5)=0
(x1*x4)=0
x4-(2*x5)+(2*x6)+(2*x7)-10=0
x3+(2*x7)+x8-14=0
x2-(2*x7)+x8-2=0
x1+x7-(2*x8)-1=0
x1=[0,100]
x2=[0,100]
x3=[0,100]
x4=[0,100]
x5=[0,100]
x6=[0,100]
x7=[0,100]
x8=[0,8]

35://ex14_1_5
nnoneq=0;
nnonineq=2;
tineq=2;
teq=4;
dim=6;
Global optima=0.00

Maximize: Z=0-x6
(x1*(x2*(x3*(x4*x5))))-x6-1<=0
1-x6-(x1*(x2*(x3*(x4*x5))))<=0
x1+x2+x3+(2*x4)+x5-6=0
x1+x2+(2*x3)+x4+x5-6=0
x1+(2*x2)+x3+x4+x5-6=0
(2*x1)+x2+x3+x4+x5-6=0
x1=[-2,2]
x2=[-2,2]
x3=[-2,2]
x4=[-2,2]
x5=[-2,2]
x6=[-2,2]

36:// AKYL
nnoneq=6;
nnonineq=0;
tineq=0;
teq=7;
dim=14;
Global optima=1.765

Maximize: Z=0-((5.04*x3)+x4+(0.34999999999999998*x13)+(3.3599999999999999*x14)-(6.2999999999999998*(x1*x2)))
x1-(0.81967213114754101*x3)-(0.81967213114754101*x14)=0
1.3300000000000001-(3*x2)+(x8*x12)=0
(22.199999999999999*x8)+(x7*x11)-35.82=0
(0.00038000000000000002*(x6^2))-(0.32500000000000001*x5)-(0.010980000000000002*x6)+(x2*x10)-0.57425000000000004=0
(0.97999999999999998*x4)-(x5*x4)-(0.01*(x5*(x1*x7)))=0
(0.0067000000000000002*(x3*(x6^2)))+(x1*x9)-(0.13167000000000001*(x3*x6))-(1.1200000000000001*x3)=0
(10*x13)+x14-(x3*x6)=0
x1=[1,5]
x2=[0.90000000000000002,0.94999999999999996]
x3=[0,2]
x4=[0,1.2]
x5=[0.84999999999999998,0.93000000000000005]
x6=[3,12]
x7=[1.2,4]
x8=[1.45,1.6200000000000001]
x9=[0.98999999999999999,1.0101010101010099]
x10=[0.98999999999999999,1.0101010101010099]
x11=[0.90000000000000002,1.112]
x12=[0.98999999999999999,1.0101010101010099]
x13=[0,1.6000000000000001]
x14=[0,2]

37://mistake
nnoneq=0;
nnonineq=12;
tineq=12;
teq=0;
dim=9;
Global optima=1.00

Maximize: Z=(0.5*(x1*x4))+(0.5*(x3*x9))+(0.5*(x5*x8)))-((0.5*(x2*x3))+(0.5*(x5*x9))+(0.5*(x6*x7)))
0-(x5*x9)<=0
(x2*x3)-(x1*x4)<=0
(x6*x7)-(x5*x8)<=0
0-(x8*x9)<=0
(x7^2)+(x8*x9)-1<=0
(x3^2)+(x4^2)-1<=0
((x3-x7)^2)+((x4-x8)^2)-1<=0
(x5^2)+(x6^2)-1<=0
(x1^2)+((x2-x9)^2)-1<=0
((x3-x5)^2)+((x4-x6)^2)-1<=0
((x1-x5)^2)+((x2-x6)^2)-1<=0
((x1-x7)^2)+((x2-x8)^2)-1<=0
x1=[0,500]
x2=[0,500]
x3=[0,500]
x4=[0,100]
x5=[0,200]
x6=[0,500]
x7=[0,500]
x8=[0,500]
x9=[0,1]

38://Dispatch
nnoneq=1;
nnonineq=0;
tineq=1;
teq=1;
dim=4;
Global optima=-3155.2879

Maximize: Z=0-((11.669*x1)+(10.333*x2)+(10.833*x3)+(0.0053299999999999997*(x1^2))+(0.0088900000000000003*(x2^2))+(0.0074099999999999999*(x3^2))+653.10000000000002)
210-x1-x2-x3+x4<=0
(0.00076599999999999997*x1)+(0.000034199999999999998*x2)-(0.00018900000000000001*x3)+x4-(0.00067599999999999995*(x1^2))-(0.00052099999999999998*(x2^2))-(0.00029399999999999999*(x3^2))-(0.0001906*(x1*x2))+(0.000050699999999999999*(x1*x3))+(0.000050699999999999999*(x1*x3))-(0.00018020000000000002*(x2*x3))-0.040356999999999997=0
x1=[50,200]
x2=[37.5,150]
x3=[45,180]
x4=[0,200]

39://avgasb
nnoneq=0;
nnonineq=10;
tineq=10;
teq=0;
dim=8;
Global optima=4.483

Maximize: Z=((2*x2)+(3*x4)+(2*x5)+(4*x6)+(3*x7)+(5*x8)+(x1*x2)+(x2*x3)+(x3*x4)+(x4*x5)+(x5*x6)+(x6*x7)+(x7*x8)+x3)-((2*(x1^2))+(2*(x2^2))+(2*(x3^2))+(2*(x4^2))+(2*(x5^2))+(2*(x6^2))+(2*(x7^2))+(2*(x8^2)))
(3*x6)+(2*x8)-x2<=0
x4-x2+(3*x6)+(5*x8)<=0
(3*x5)+x7-(5*x1)-(3*x3)<=0
x7-(2*x1)-x3<=0
x1+x3+x5+x7-2<=0
x2+x4+x6+x8-2<=0
x7+x8-1<=0
x5+x6-1<=0
x3+x4-1<=0
x1+x2-1<=0
x1=[0,1]
x2=[0,1]
x3=[0,1]
x4=[0,1]
x5=[0,1]
x6=[0,1]
x7=[0,1]
x8=[0,1]

40://himmel11
nnoneq=3;
nnonineq=0;
tineq=1;
teq=3;
dim=9;
Global optima=30665.54

Maximize: Z=40792.141000000003-(37.293239*x1)-(5000*x9)-(5.3578546999999999*(x2^2))-(0.83568909999999996*(x1*x3))
x1-(7*x2)+x3-(5*x9)<=0
x8+(4*x9)-(0.0012547000000000001*(x1*x2))-(0.0047026000000000004*(x2*x3))-(0.0019085*(x2*x5))-9.3009609999999991=0
x7-(0.0021813000000000002*(x2^2))-(0.0071317000000000004*(x3*x4))-(0.0029954999999999999*(x1*x4))-80.51249=0
x6+(2*x9)-(0.00062620000000000004*(x1*x5))+(0.0022052999999999999*(x2*x3))-(0.0056858000000000004*(x3*x4))-85.334406999999999=0
x1=[78,102]
x2=[27,45]
x3=[27,45]
x4=[33,45]
x5=[27,45]
x6=[0,92]
x7=[90,110]
x8=[20,25]
x9=[0,25]

41://ex_8_4_1
nnoneq=10;
nnonineq=0;
tineq=0;
teq=10;
dim=22;
Global optima=-0.619

Maximize: Z=0-((x1^2)+((x2-0.90000000000000002)^2)+((x3-1.8)^2)+((x4-2.6000000000000001)^2)+((x5-3.2999999999999998)^2)+((x6-4.4000000000000004)^2)+((x7-5.2000000000000002)^2)+((x8-6.0999999999999996)^2)+((x9-6.5)^2)+((x10-7.4000000000000004)^2)+((x12-5.9000000000000004)^2)+((x13-5.4000000000000004)^2)+((x14-4.4000000000000004)^2)+((x15-4.5999999999999996)^2)+((x16-3.5)^2)+((x17-3.7000000000000002)^2)+((x18-2.7999999999999998)^2)+((x19-2.7999999999999998)^2)+((x20-2.3999999999999999)^2)+((x21-1.5)^2))
(x10*x11)-x21+x22=0
(x9*x11)-x20+x22=0
(x8*x11)-x19+x22=0
(x7*x11)-x18+x22=0
(x6*x11)-x17+x22=0
(x5*x11)-x16+x22=0
(x4*x11)-x15+x22=0
(x3*x11)-x14+x22=0
(x2*x11)-x13+x22=0
(x1*x11)-x12+x22=0
x1=[-0.5,0.5]
x2=[0.4,1.4]
x3=[1.3,3]
x4=[2.1,3.1]
x5=[2.7999999999999998,3.7999999999999998]
x6=[3.8999999999999999,4.9000000000000004]
x7=[4.7000000000000002,5.7000000000000002]
x8=[5.5999999999999996,6.5999999999999996]
x9=[6,7]
x10=[6.9000000000000004,7.9000000000000004]
x11=[-2,2]
x12=[5.4000000000000004,6.4000000000000004]
x13=[4.9000000000000004,5.9000000000000004]
x14=[3.8999999999999999,4.9000000000000004]
x15=[4.0999999999999996,5.0999999999999996]
x16=[3,4]
x17=[3.2000000000000002,4.2000000000000002]
x18=[2.2999999999999998,3.2999999999999998]
x19=[2.2999999999999998,3.2999999999999998]
x20=[1.8999999999999999,2.8999999999999999]
x21=[1,2]
x22=[0,10]

42://Pgon
nnoneq=0;
nnonineq=15;
tineq=20;
teq=0;
dim=12;
Global optima=0.675

Maximize: Z=(0.5*((x8*(x7*Sin(x2-x1)))+(x9*(x8*Sin(x3-x2)))+(x10*(x9*Sin(x4-x3)))+(x11*(x10*Sin(x5-x4)))+(x12*(x11*Sin(x6-x5)))))
(x7^2)+(x8^2)-(2*(x7*(x8*Cos(x2-x1))))-1<=0
(x7^2)+(x9^2)-(2*(x7*(x9*Cos(x3-x1))))-1<=0
(x7^2)+(x10^2)-(2*(x7*(x10*Cos(x4-x1))))-1<=0
(x7^2)+(x11^2)-(2*(x7*(x11*Cos(x5-x1))))-1<=0
(x7^2)+(x12^2)-(2*(x7*(x12*Cos(x6-x1))))-1<=0
(x8^2)+(x9^2)-(2*(x8*(x9*Cos(x3-x2))))-1<=0
(x8^2)+(x10^2)-(2*(x8*(x10*Cos(x4-x2))))-1<=0
(x8^2)+(x11^2)-(2*(x8*(x11*Cos(x5-x2))))-1<=0
(x8^2)+(x12^2)-(2*(x8*(x12*Cos(x6-x2))))-1<=0
(x9^2)+(x10^2)-(2*(x9*(x10*Cos(x4-x3))))-1<=0
(x9^2)+(x11^2)-(2*(x9*(x11*Cos(x5-x3))))-1<=0
(x9^2)+(x12^2)-(2*(x9*(x12*Cos(x6-x3))))-1<=0
(x10^2)+(x11^2)-(2*(x10*(x11*Cos(x5-x4))))-1<=0
(x10^2)+(x12^2)-(2*(x10*(x12*Cos(x6-x4))))-1<=0
(x11^2)+(x12^2)-(2*(x11*(x12*Cos(x6-x5))))-1<=0
x1-x2<=0
x2-x3<=0
x3-x4<=0
x4-x5<=0
x5-x6<=0
x1=[-3.14159265358979,0.2]
x2=[-3.14159265358979,1.57432]
x3=[1.57432,1.57432]
x4=[-3.14159265358979,3.14159265358979]
x5=[-3.14159265358979,3.14159265358979]
x6=[3.14159265358979,3.14159265358979]
x7=[-3.14159265358979,1]
x8=[-3.14159265358979,1]
x9=[1,1]
x10=[-3.14159265358979,1]
x11=[-3.14159265358979,1]
x12=[0,0]

43://hs116
nnoneq=0;
nnonineq=10;
tineq=15;
teq=0;
dim=13;
Global optima=-86.985

Maximize: Z=0-(x11+x12+x13)
(1.262626*x10)-x13-(1.2310589999999999*(x3*x10))<=0
0.90000000000000002-x2+(0.002*(x2*x10))-(0.002*(x3*x10))<=0
(500*x2)-(500*x6)-(x2*x9)+(x6*x9)-(x2*x10)+(x3*x10)<=0
(0.034750000000000003*x2)-x5-(0.00975*(x2^2))+(0.97499999999999998*(x2*x5))<=0
x5+x6+(0.002*(x2*x9))-(0.002*(x1*x8))-(0.002*(x5*x8))-(0.002*(x6*x9))-1<=0
(x1*x8)-(x4*x7)-(x4*x8)-(x5*x7)<=0
(1.262626*x8)-x11-(1.2310589999999999*(x1*x8))<=0
(0.034750000000000003*x3)-x6-(0.00975*(x3^2))+(0.97499999999999998*(x3*x6))<=0
(1.262626*x9)-x12-(1.2310589999999999*(x2*x9))<=0
(0.034750000000000003*x1)-x4-(0.00975*(x1^2))+(0.97499999999999998*(x1*x4))<=0
50-(x11+x12+x13)<=0
(x11+x12+x13)-250<=0
(0.002*x7)-(0.002*x8)-1<=0
x1-x2<=0
x2-x3<=0
x1=[0.10000000000000001,1]
x2=[0.10000000000000001,1]
x3=[0.10000000000000001,1]
x4=[0.0001,0.10000000000000001]
x5=[0.10000000000000001,0.90000000000000002]
x6=[0.10000000000000001,0.90000000000000002]
x7=[0.10000000000000001,1000]
x8=[0.10000000000000001,1000]
x9=[500,1000]
x10=[0.10000000000000001,500]
x11=[1,150]
x12=[0.0001,150]
x13=[0.0001,150]

44://immum
nnoneq=0;
nnonineq=0;
tineq=0;
teq=7;
dim=21;
Global optima=0.00

Maximize: Z=0-((x1^2)+((50000-x2)^2)+((42000-x3)^2)+((40000-x4)^2)+((40000-x5)^2)+((45000-x6)^2))
x7-(40.9351218608642*x8)-(43.201865262881498*x9)-(45.347331110186801*x10)-(39.805625287986999*x11)-(41.312576949405297*x12)-(41.878149854114099*x13)-(42.140321344808399*x14)-(46.603891467033698*x15)=0
(1115.8195763046001*x11)+(1126.3428356729*x12)+(134.50350827059299*x13)+(136.452834477414*x14)+(185.185989647919*x15)+(1.0760017435043401*x20)-x21-x6=0
(1167.30216560492*x10)+(74.454899129982294*x11)+(84.724540389290297*x12)+(88.575655861530706*x13)+(89.859361018944199*x14)+(121.951989954281*x15)+(1.05*x19)-x20-x5=0
(75.456505608032998*x10)+(36.777120380385803*x11)+(41.849826639749402*x12)+(43.752091487010802*x13)+(44.386179769431202*x14)+(60.2383868299423*x15)+(1.02284761238063*x18)-x19-x4=0
(75.577639511960001*x10)+(36.836160434400703*x11)+(41.917010149490402*x12)+(43.822328792649103*x13)+(44.457435007035301*x14)+(60.3350903666908*x15)+(1.0391091639109*x17)-x18-x3=0
(1044.8072745632601*x8)+(1079.40354193291*x9)+(74.544203311322306*x10)+(36.332468840812503*x11)+(41.343843853338399*x12)+(43.2231094830356*x13)+(43.8495313596014*x14)+(59.510078273744703*x15)+(1.0094009315372301*x16)-x17-x2=0
0-(x1+x16)=0
x1=[0,187217.324724184]
x2=[0,187217.324724184]
x3=[0,187217.324724184]
x4=[0,187217.324724184]
x5=[0,187217.324724184]
x6=[0,187217.324724184]
x7=[0,187217.324724184]
x8=[0,187217.324724184]
x9=[0,187217.324724184]
x10=[0,187217.324724184]
x11=[0,187217.324724184]
x12=[0,187217.324724184]
x13=[0,187217.324724184]
x14=[0,187217.324724184]
x15=[0,187217.324724184]
x16=[0,187217.324724184]
x17=[0,187217.324724184]
x18=[0,187217.324724184]
x19=[0,187217.324724184]
x20=[0,187217.324724184]
x21=[0,187217.324724184]

45://S381
nnoneq=0;
nnonineq=0;
tineq=3;
teq=1;
dim=13;
Global optima=98.683

Maximize: Z=(0.8*x1)+(1.1*x2)+(0.85*x3)+(3.45*x4)+(2*x5)+(2.1*x6)+(3*x7)+(0.8*x8)+(0.45*x9)+(0.72*x10)+(1.8*x11)+(3*x12)+(0.6*x13)
18-(((11.6*x1)+(13.7*x2)+(9.5*x3)+(48.5*x4)+(31.9*x5))+((51.1*x6)+(65.5*x7)+(21.8*x11)+(46.9*x12)))<=0
1-((0.05*x1)+(0.07*x2)+(0.33*x4)+(1.27*x6)+(1.27*x7)+(23.35*x8)+(35.84*x9)+(0.81*x10)+(1.79*x11)+(7.34*x12))<=0
0.9-((0.35*x1)+(0.37*x2)+(0.1*x3)+(0.62*x4)+(1.03*x6)+(1.69*x7)+(18.21*x8)+(0.01*x9)+(0.08*x10)+(0.31*x11)+(1.59*x12)+(22.45*x13))<=0
(x1+x2+x3+x4+x5+x6+x7)+(x8+x9+x10+x11+x12+x13)-1=0
x1=[-10,10]
x2=[-10,10]
x3=[-10,10]
x4=[-10,10]
x5=[-10,10]
x6=[-10,10]
x7=[-10,10]
x8=[-10,10]
x9=[-10,10]
x10=[-10,10]
x11=[-10,10]
x12=[-10,10]
x13=[-10,10]

46://degenlpb
nnoneq=0;
nnonineq=0;
tineq=0;
teq=15;
dim=20;
Global optima=30.742

Maximize: Z=((0.01*x2)+(33.332999999999998*x3)+(100*x4)+(0.01*x5)+(33.343000000000004*x6))+((100.01000000000001*x7)+(33.332999999999998*x8)+(133.33000000000001*x9)+(100*x10))
((300*x2)+(0.089999999999999997*x3))+((0.029999999999999999*x4)-x1)=0
(0.0084100000000000008*x12)-(0.084059999999999996*x13)-(0.20666999999999999*x14)+(20.658000000000001*x16)+(1.0700000000000001*x18)-(10.5*x19)=0
(0.0062899999999999996*x11)-(0.20555000000000001*x12)-(4.1105999999999998*x13)+(101.04000000000001*x15)+(505.10000000000002*x16)-(256.72000000000003*x19)=0
((1.0900000000000001*x17)-(0.0025699999999999998*x11))+((0.25220999999999999*x12)-(6.2000000000000002*x14))=0
((0.0025200000000000001*x13)-(0.0000025741999999999998*x11))-((0.61975000000000002*x16)+(1.03*x20))=0
(0.002*x4)-(1.02*x10)+(100*x16)+(0.029999999999999999*x19)+(0.01*x20)=0
(0.02*x3)-(1.0600000000000001*x8)+(100*x14)+(0.029999999999999999*x17)+(0.01*x19)=0
(0.001*x3)+(0.01*x4)-(1.04*x9)+(100*x15)+(0.029999999999999999*x18)+(0.01*x19)=0
(0.001*x2)+(0.48899999999999999*x4)-(101.03*x7)+(100*x13)+(0.029999999999999999*x15)+(0.01*x16)=0
x1+(2*x2)+(2*x3)+(2*x4)+x5+(2*x6)+(2*x7)+x8+(2*x9)+x10-0.70784999999999998=0
(0.01*x2)+(0.48899999999999999*x3)-(101.03*x6)+(100*x12)+(0.029999999999999999*x14)+(0.01*x15)=0
(0.97799999999999998*x2)-(201*x5)+(100*x11)+(0.029999999999999999*x12)+(0.01*x13)=0
(0.00066666999999999996*x1)-(1.01*x4)+(200*x7)+(0.059999999999999998*x9)+(0.02*x10)=0
((0.0066667000000000002*x1)-(1.03*x3))+((200*x6)+(0.059999999999999998*x8)+(0.02*x9))=0
((0.32600000000000001*x1)-(101*x2))+((200*x5)+(0.059999999999999998*x6)+(0.02*x7))=0
x1=[0,1]
x2=[0,1]
x3=[0,1]
x4=[0,1]
x5=[0,1]
x6=[0,1]
x7=[0,1]
x8=[0,1]
x9=[0,1]
x10=[0,1]
x11=[0,1]
x12=[0,1]
x13=[0,1]
x14=[0,1]
x15=[0,1]
x16=[0,1]
x17=[0,1]
x18=[0,1]
x19=[0,1]
x20=[0,1]

47://eigminc
nnoneq=22;
nnonineq=0;
tineq=0;
teq=22;
dim=22;
Global optima=1.00

Maximize: Z=0-x1
((x2^2)+(x3^2)+(x4^2)+(x5^2)+(x6^2)+(x7^2)+(x8^2)+(x9^2)+(x10^2)+(x11^2))+((x12^2)+(x13^2)+(x14^2)+(x15^2)+(x16^2)+(x17^2)+(x18^2)+(x19^2)+(x20^2)+(x21^2)+(x22^2))-1=0
(x2*x1)-(10*x2)-x3=0
(x3*x1)-(9*x3)-x2-x4=0
(x4*x1)-(8*x4)-x3-x5=0
(x5*x1)-(7*x5)-x4-x6=0
(x6*x1)-(6*x6)-x5-x7=0
(x7*x1)-(5*x7)-x6-x8=0
(x8*x1)-(4*x8)-x7-x9=0
(x9*x1)-(3*x9)-x8-x10=0
(x10*x1)-(2*x10)-x9-x11=0
(x11*x1)-x11-x10-x12=0
(x12*x1)-x11-x13=0
(x13*x1)+x13-x12-x14=0
(x14*x1)+(2*x14)-x13-x15=0
(x15*x1)+(3*x15)-x14-x16=0
(x16*x1)+(4*x16)-x15-x17=0
(x17*x1)+(5*x17)-x16-x18=0
(x18*x1)+(6*x18)-x17-x19=0
(x19*x1)+(7*x19)-x18-x20=0
(x20*x1)+(8*x20)-x19-x21=0
(x21*x1)+(9*x21)-x20-x22=0
(x22*x1)+(10*x22)-x21=0
x1=[-1,1]
x2=[-1,1]
x3=[-1,1]
x4=[-1,1]
x5=[-1,1]
x6=[-1,1]
x7=[-1,1]
x8=[-1,1]
x9=[-1,1]
x10=[-1,1]
x11=[-1,1]
x12=[-1,1]
x13=[-1,1]
x14=[-1,1]
x15=[-1,1]
x16=[-1,1]
x17=[-1,1]
x18=[-1,1]
x19=[-1,1]
x20=[-1,1]
x21=[-1,1]
x22=[-1,1]

48://ex_8_4_2
nnoneq=10;
nnonineq=0;
tineq=0;
teq=10;
dim=24;
Global optima=-0.485

Maximize: Z=0-((x1^2)+((x2-0.9)^2)+((x3-1.8)^2)+((x4-2.6)^2)+((x5-3.3)^2)+((x6-4.4)^2)+((x7-5.2)^2)+((x8-6.1)^2)+((x9-6.5)^2)+((x10-7.4)^2)+((x14-5.9)^2)+((x15-5.4)^2)+((x16-4.4)^2)+((x17-4.6)^2)+((x18-3.5)^2)+((x19-3.7)^2)+((x20-2.8)^2)+((x21-2.8)^2)+((x22-2.4)^2)+((x23-1.5)^2))
(x10*x11)+(x12*(x10^2))+(x13*(x10^3))-x23+x24=0
(x9*x11)+(x12*(x9^2))+(x13*(x9^3))-x22+x24=0
(x8*x11)+(x12*(x8^2))+(x13*(x8^3))-x21+x24=0
(x7*x11)+(x12*(x7^2))+(x13*(x7^3))-x20+x24=0
(x6*x11)+(x12*(x6^2))+(x13*(x6^3))-x19+x24=0
(x5*x11)+(x12*(x5^2))+(x13*(x5^3))-x18+x24=0
(x4*x11)+(x12*(x4^2))+(x13*(x4^3))-x17+x24=0
(x3*x11)+(x12*(x3^2))+(x13*(x3^3))-x16+x24=0
(x2*x11)+(x12*(x2^2))+(x13*(x2^3))-x15+x24=0
(x1*x11)+(x12*(x1^2))+(x13*(x1^3))-x14+x24=0
x1=[-0.5,0.5]
x2=[0.4,1.4]
x3=[1.3,3]
x4=[2.1,3.1]
x5=[2.7999999999999998,3.7999999999999998]
x6=[3.8999999999999999,4.9000000000000004]
x7=[4.7000000000000002,5.7000000000000002]
x8=[5.5999999999999996,6.5999999999999996]
x9=[6,7]
x10=[6.9000000000000004,7.9000000000000004]
x11=[-2,2]
x12=[-2,2]
x13=[-2,2]
x14=[5.4000000000000004,6.4000000000000004]
x15=[4.999999999999996,5.999999999999996]
x16=[3.8999999999999999,4.9000000000000004]
x17=[4.0999999999999996,5.0999999999999996]
x18=[3,4]
x19=[3.2000000000000002,4.2000000000000002]
x20=[2.2999999999999998,3.2999999999999998]
x21=[2.2999999999999998,3.2999999999999998]
x22=[1.8999999999999999,2.8999999999999999]
x23=[1,2
x24=[0,10]

49://Lewispol
nnoneq=6;
nnonineq=0;
tineq=0;
teq=9;
dim=6;
Global optima=-2.928

Maximize: Z=0-(((x1^2)+(x2^2)+(x3^2))+((x4^2)+(x5^2)+(x6^2)))
(0.0001*(x6^3))-(0.0001*x6)=0
(0.0001*(x1^3))-(0.0001*x1)=0
(0.0001*(x5^3))-(0.0001*x5)=0
(0.0001*(x4^3))-(0.0001*x4)=0
(0.0001*(x3^3))-(0.0001*x3)=0
(0.0001*(x2^3))-(0.0001*x2)=0
30+(((4*x3)+(9*x4))+((16*x5)+(25*x6)))=0
6+((2*x3)+(3*x4)+(4*x5)+(5*x6)+x2)=0
1+((x1+x2+x3)+(x4+x5+x6))=0
x1=[-10,10]
x2=[-10,10]
x3=[-10,10]
x4=[-10,10]
x5=[-10,10]
x6=[-10,10]

50://f_e
nnoneq=0;
nnonineq=3;
tineq=7;
teq=0;
dim=7;
Global optima=310

Maximize Z=0-x1
((100*x2)+(4*x3)+(2*x4)+(8*x5)+(2*x6)+(8*x7)-x1)-((25*(x2^2))+(x3^2)+(x4^2)+(x5^2)+(x6^2)+(x7^2))-138<=0
((x4*(6-x4))-x5)-5<=0
((x6*(6-x6))-x7)-5<=0
2-(x2+x3)<=0
(x2+x3)-6<=0
(x3-x2)-2<=0
(x2-(3*x3))-2<=0

x1=[-100000,100000]
x2=[0,6]
x3=[0,6]
x4=[1,5]
x5=[0,6]
x6=[1,5]
x7=[1,10]

51://Sample
nnoneq=0;
nnonineq=2;
tineq=2;
teq=0;
dim=4;
Global optima=-725.479

Maximize: Z=0-((x1+x2)+(x3+x4))
(((0.16/x1)+(0.35999999999999999/x2))+((0.64000000000000001/x3)+(0.64000000000000001/x4)))-0.010085<=0
(((4/x1)+(2.25/x2))+((1/x3)+(0.25/x4)))-0.040099999999999997<=0

x1=[100,400000]
x2=[100,300000]
x3=[100,200000]
x4=[100,100000]

52://Spings nonconvex
nnoneq=0;
nnonineq=10;
tineq=10;
teq=0;
dim=32;
Global optima=-185.446

Maximize: Z=0-((50*((x1^2)+(x2^2)+(x3^2)+(x4^2)+(x5^2)+(x6^2)+(x7^2)+(x8^2)+(x9^2)+(x10^2)))+((9.8*x23)+(9.8*x24)+(9.8*x25)+(9.8*x26)+(9.8*x27)+(9.8*x28)+(9.8*x29)+(9.8*x30)+(9.8*x31)))
(x12^2)+(x23^2)-((x1+0.447213595499958)^2)<=0
((x14-x13)^2)+((x25-x24)^2)-((x3+0.447213595499958)^2)<=0
((x13-x12)^2)+((x24-x23)^2)-((0.447213595499958+x2)^2)<=0
((x15-x14)^2)+((x26-x25)^2)-((0.447213595499958+x4)^2)<=0
((x16-x15)^2)+((x27-x26)^2)-((0.447213595499958+x5)^2)<=0
((x17-x16)^2)+((x28-x27)^2)-((0.447213595499958+x6)^2)<=0
((x18-x17)^2)+((x29-x28)^2)-((0.447213595499958+x7)^2)<=0
((x19-x18)^2)+((x30-x29)^2)-((0.447213595499958+x8)^2)<=0
((x20-x19)^2)+((x31-x30)^2)-((0.447213595499958+x9)^2)<=0
((x21-x20)^2)+((x32-x31)^2)-((0.447213595499958+x10)^2)<=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]
x4=[-1000,1000]
x5=[-1000,1000]
x6=[-1000,1000]
x7=[-1000,1000]
x8=[-1000,1000]
x9=[-1000,1000]
x10=[-1000,1000]
x11=[0,0]
x12=[-1000,1000]
x13=[-1000,1000]
x14=[-1000,1000]
x15=[-1000,1000]
x16=[-1000,1000]
x17=[-1000,1000]
x18=[-1000,1000]
x19=[-1000,1000]
x20=[-1000,1000]
x21=[2,2]
x22=[0,0]
x23=[-1000,1000]
x24=[-1000,1000]
x25=[-1000,1000]
x26=[-1000,1000]
x27=[-1000,1000]
x28=[-1000,1000]
x29=[-1000,1000]
x30=[-1000,1000]
x31=[-1000,1000]
x32=[-1,-1]

53://fp_2_1
nnoneq=0;
nnonineq=1;
tineq=2;
teq=0;
dim=6;
Global optima=17

Maximize: Z=0-x1
((42*x2)+(44*x3)+(45*x4)+(47*x5)+(47.5*x6)-x1)-(50*((x2^2)+(x3^2)+(x4^2)+(x5^2)+(x6^2)))<=0
(20*x2)+(12*x3)+(11*x4)+(7*x5)+(4*x6)-40<=0
x1=[-250,225.5]
x2=[0,1]
x3=[0,1]
x4=[0,1]
x5=[0,1]
x6=[0,1]


54: //ex 9 2 6

nnoneq=6;
nnonineq=0;
tineq=0;
teq=12;
dim=16;
Global optima=1.000
Maximize: Z=((2*x13)+(2*x14)-(x13^2))-((x14^2)+(x15^2)+(x16^2))
(x6*x12)=0
(x1*x7)=0
(x5*x11)=0
(x4*x10)=0
(x2*x8)=0
(x3*x9)=0
(x10-x8)-((2*x14)-(2*x16))=0
(x9-x7)-((2*x13)-(2*x15))=0
x4+x16-1.5=0
x3+x15-1.5=0
x2-x16+0.5=0
x1-x15+0.5=0
x1=[0,200]
x2=[0,200]
x3=[0,200]
x4=[0,200]
x5=[0,200]
x6=[0,200]
x7=[0,200]
x8=[0,200]
x9=[0,200]
x10=[0,200]
x11=[0,200]
x12=[0,200]
x13=[0,1000]
x14=[0,1000]
x15=[0,1000]
x16=[0,1000]

55: //ex 9 2 7
nnoneq=4;
nnonineq=0;
tineq=0;
teq=9;
dim=10;
Global optima=-17

Maximize: Z=0-(((x9-5)^2)+(((2*x10)+1)^2))
(x4*x8)=0
(x3*x7)=0
(x2*x6)=0
(x1*x5)=0
((x5-(0.5*x6)+x7)-(x8+(1.5*x9)-(2*x10)))-2=0
(x4-x10)=0
(x3+x9+x10)-7=0
(x2+x9-(0.5*x10))-4=0
((x1+x10)-(3*x9))+3=0
x1=[0,20]
x2=[0,20]
x3=[0,20]
x4=[0,20]
x5=[0,20]
x6=[0,20]
x7=[0,20]
x8=[0,20]
x9=[0,1000]
x10=[0,1000]
56: //ex9_1_2

nnoneq=4;
nnonineq=0;
tineq=0;
teq=9;
dim=10;
Global optima=16
Maximize: Z=(x9+(3*x10))
(x1*x5)=0
(x2*x6)=0
(x4*x8)=0
(x3*x7)=0
(((2*x6)+x5)-(x7+x8))+1=0
(x4-x10)=0
(x3+(4*x9)-x10)-12=0
((x2+x9)+(2*x10))-12=0
((x1-x9)+x10)-3=0
x1=[0,100]
x2=[0,100]
x3=[0,100]
x4=[0,100]
x5=[0,100]
x6=[0,100]
x7=[0,100]
x8=[0,100]
x9=[0,100]
x10=[0,100]

57: //ex2_1_9
nnoneq=0;
nnonineq=0;
tineq=0;
teq=1;
dim=10;
Global Optima=0.375
Maximize: Z=((x1*x2)+(x1*x3)+(x1*x5)+(x1*x9)+(x1*x10)+(x2*x3)+(x2*x4)+(x2*x10)+(x3*x4)+(x3*x5)+(x4*x5))+((x4*x6)+(x4*x7)+(x5*x6)+(x5*x7)+(x6*x7)+(x6*x8)+(x7*x8)+(x7*x9)+(x8*x9)+(x8*x10)+(x9*x10))
((x1+x2+x3+x4+x5)+(x6+x7+x8+x9+x10))-1=0
x1=[0,1000]
x2=[0,1000]
x3=[0,1000]
x4=[0,1000]
x5=[0,1000]
x6=[0,1000]
x7=[0,1000]
x8=[0,1000]
x9=[0,1000]
x10=[0,1000]

58: //ex2_1_3
nnoneq=0;
nnonineq=0;
tineq=9;
teq=0;
dim=13;
Global optima=15
Maximize: Z=(5*((x1+x2)+(x3+x4)))-((x5+x6+x7+x8+x9)+(x10+x11+x12+x13))-(5*(((x1^2)+(x2^2))+((x3^2)+(x4^2))))
0-((2*x8)+(x9-x12))<=0
0-((2*x6)+(x7-x11))<=0
0-((2*x4)+(x5-x10))<=0
x12-(8*x3)<=0
x11-(8*x2)<=0
x10-(8*x1)<=0
(((2*x2)+(2*x3))+(x11+x12))-10<=0
(((2*x1)+(2*x3))+(x10+x12))-10<=0
(((2*x1)+(2*x2))+(x10+x11))-10<=0
x1=[0,1]
x2=[0,1]
x3=[0,1]
x4=[0,1]
x5=[0,1]
x6=[0,1]
x7=[0,1]
x8=[0,1]
x9=[0,1]
x10=[0,1000]
x11=[0,1000]
x12=[0,1000]
x13=[0,1]

59:// Rk23
nnoneq=7;
nnonineq=0;
tineq=0;
teq=11;
dim=17;
Global optima=-0.083
Maximize: Z=0-((x12+x13+x14)+(x15+x16+x17))
(x6+x7+x11)-1=0
(x4+x5+x10)-1=0
x3+x9-x2=0
x8-x1=0
((x1*x4)+(x2*x5))-0.5=0
((x1*x6)+(x2*x7))-0.5=0
((x6*(x1^2))+(x7*(x2^2)))-0.33333333333333331=0
((12*(x3*(x7*(x1^2))))+x16-x17)-1=0
((8*(x1*(x2*(x3*x7))))+x14-x15)-1=0
(x1*(x3*x7))-0.16666666666666666=0
((4*(x6*(x1^3)))+(4*(x7*(x2^3)))+x12-x15)-1=0
x1=[-1000,1000]
x2=[-1000,1000]
x3=[-1000,1000]
x4=[-1000,1000]
x5=[-1000,1000]
x6=[-1000,1000]
x7=[-1000,1000]
x8=[-1000,1000]
x9=[-1000,1000]
x10=[-1000,1000]
x11=[-1000,1000]
x12=[0,1000]
x13=[0,1000]
x14=[0,1000]
x15=[0,1000]
x16=[0,1000]
x17=[0,1000]

60: //ex8_4_5
nnoneq=11;
nnonineq=0;
tineq=0;
teq=11;
dim=15;
Global optima=0.000
Maximize: Z=0-(((x5-0.19570000000000001)^2)+((x6-0.19470000000000001)^2)+((x7-0.17349999999999999)^2)+((x8-0.16)^2)+((x9-0.084400000000000003)^2)+((x10-0.062700000000000006)^2)+((x11-0.045600000000000002)^2)+((x12-0.034200000000000001)^2)+((x13-0.032300000000000002)^2)+((x14-0.0235)^2)+((x15-0.0246)^2))
((((0.0625*x2)+0.00390625)*x1)/((0.0625*x3)+x4+0.00390625))-x15=0
((((0.071428571428571397*x2)+0.0051020408163265302)*x1)/((0.071428571428571397*x3)+x4+0.0051020408163265302))-x14=0
((((0.083333333333333301*x2)+0.0069444444444444397)*x1)/((0.083333333333333301*x3)+x4+0.0069444444444444397))-x13=0
((((0.10000000000000001*x2)+0.01)*x1)/((0.10000000000000001*x3)+x4+0.01))-x12=0
((((0.125*x2)+0.015625)*x1)/((0.125*x3)+x4+0.015625))-x11=0
((((0.16666666666666699*x2)+0.027777777777777801)*x1)/((0.16666666666666699*x3)+x4+0.027777777777777801))-x10=0
((((4*x2)+16)*x1)/((4*x3)+x4+16))-x5=0
((((0.25*x2)+0.0625)*x1)/((0.25*x3)+x4+0.0625))-x9=0
((((0.5*x2)+0.25)*x1)/((0.5*x3)+x4+0.25))-x8=0
((((2*x2)+4)*x1)/((2*x3)+x4+4))-x6=0
(((x2+1)*x1)/(x3+x4+1))-x7=0
x1=[0.00000001,0.2893]
x2=[0.00000001,0.2893]
x3=[0.00000001,0.2893]
x4=[0.00000001,0.2893]
x5=[0.1757,0.2157]
x6=[0.17469999999999999,0.2147]
x7=[0.1535,0.19350000000000001]
x8=[0.14000000000000001,0.17999999999999999]
x9=[0.064399999999999999,0.10440000000000001]
x10=[0.042700000000000002,0.082699999999999996]
x11=[0.025600000000000001,0.065600000000000006]
x12=[0.014200000000000001,0.054199999999999998]
x13=[0.0123,0.052299999999999999]
x14=[0.0035000000000000001,0.043499999999999997]
x15=[0.0045999999999999999,0.044600000000000001]