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Question: solve is very lazy

Question:solve is very lazy

awass 296 Maple 15
December 21 2012
1

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?
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