I am wondering if there is some built in function that can help in
this:  Given as input a list of equations, return a list of equivalent
groups of variables .

for example

inputs:   [x + a*b*c == 0 ,  a*b*c == 10  ,  x+d ==0  ,   k - 100
==0,  y + a == 0 ,  a - b == 0 ]

output:   [[x,-a*b*c,-10, -d], [k,100]   [y,-a,-b] ]     #note the
output doesn't have to be in this exact order, as long as it returns a
list of 3 list (since there are 3 different groups)

Thanks,


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