Are there any software to computer resultant for a system of equations (more than 2) with more than 2 variables?
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Maple will do it. http://www.maplesoft.com/support/help/AddOns/view.aspx?path=Algebraic/Resultant You can also do it in C, or Matlab with MARS: 


Singular and Macaulay2 do it according to the documentation, though I haven't personally tried using either of them for this purpose. They are likely to be faster than Maple; I don't know about MARS. 

