@tomleslie 

thank you very much that was very helpful...... i am trying to eliminate the same unknowns and get the inequalities.... >< .... still a newbie to Maple...

@tomleslie 

a[1](a[1]),

a[5](a[5]),

a[9](a[9])

this are actually (a[1])^2 and so on... however when i ran the code in this way the program ends up in error.... how do i solve this.... i am not customed to Maple actually... 

solve() to solve for names or functions, ie not expressions such as 

and for this part do you have any suggestion on what i can do to solve the problem?

thank you><