Question: Equating multiple multivariate polynomials to find coefficients

I want to solve for the coefficients in some multivariate polynomials by equating them to other known multivariate polynomials.


Something like this. I have




I want to impose that p[1]=x^2+2*x*y+3*z and that p[2]=x+4*y*z and I want Maple to tell me the values of (a,b,c,d,e,f).


Sounds simple enough, but I have not been able to do it

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