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?