I was trying to solve a VERY simple system of 2 equations,{ eq1,eq2}, for the variable d which appears only once to the first degree with coefficient 1. That is grade school algebra. Maple 15 refused; it needed help.

restart;

eq1:=s=a+b+c+d;

eq1 := s = a + b + c + d

eq2:=s=2*(a+b)*(a+c)*(b+c);

eq2 := s = 2 (a + b) (a + c) (b + c)

solve({eq1,eq2},d);

No response!

eq3:=a+b+c+d=2*(a+b)*(a+c)*(b+c);

eq3 := a + b + c + d = 2 (a + b) (a + c) (b + c)

solve (eq3,d);

2 2 2 2 2 2

2 a b + 2 a c + 4 a c b + 2 a c + 2 b a + 2 b c + 2 b c - a

- b - c

Pretty simple to do. What flummoxed Maple?