Just curious as to what things mathematica is better at than maple?  In other words what does mathematica have that maple doesn't?  Are they better at graphic visualization?

How can I randomly select a number from a user defined list. 

The command seq can recognize user defined lists: seq(i^2,i=[1,5,10,25]) and so I also thought the rand command could work somewhat similar

I tried to get   rand([L])()  to work where L is my list, unfortunately it turns up an error since it must be a pos int.  

Any reason why the show Numb3rs mostly uses Wolframs Mathematica?  Being a Maple fan I'm a tad bit dissapointed. 

There's a whole mathematica website devoted to the show Numb3rs http://www.numb3rs.wolfram.com it's fairly good and still under developement.  Any plans for maple to so something similar?

How do I get maple to solve A=BA, where AB is a two digit number and not multiplied together.  like 5=25.  Or for something more complex like A=BCA   5=125.  Can we get maple to show other possible solutions?

What I want to do is have Maple solve a set of operations where the answer is a multiple of the digits in the same order.  So something like A+B+C=ABC  or  B*A-C=BAC  etc...

fsolve(x^2/20-10*x-15*cos(x+15),x);

1.274092075

I know to get maple to give me the other root I have graphically examine the funtion to see that it's around 200.  I need to use fsolve using x=190..210 to find it.  But that's a bit of a pain, I don't want to have to graph the function everytime, if my limits aren't far enough I may not find it.