I bought a Mac Pro with 12 core. I try to evaluate the resultant of 5 multivariant polynomials of five variables (as the polynomials are rather irregular, the usual tricks does not work). By using resultant to eliminate one variable at a time, I can get the final resultant with one variable. Is there a way to parallet program it, so that 12 core can all be used? Why sometime, the program is said to be evaluating, but the clock is not moving?

I am trying to solve the so called Bethe ansatz equations in Mathematical Physics.

I have four multivariate polynomials equations with four unknown p_i(x[1],x[2],x[3],x[4]) i=1,2,3,4; which have integer coefficients. The equations are mixed; P_i is linear in x[j] for x[j]\ne x[i]; and x[i] is of order 10. Due to this structure,  I first eliminate x[4] from these equations. Then use resultant to eliminate x[3],  I got error messages (invalid series, in gcd...

Is there programs or algorithm to obtain resultant of multivariant polynomials for more than 2 polynomials