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GroebnerBasis[{a+b+c-6,a b + b c + c a-11,a b c-6,(a-b)(b-c)(c-a)-d,a/b+b/c+c/a-t},{t,d},{a,b,c}]
GroebnerBasis[{a+b+c-6,a b + b c + c a-11,a b c-6,(a-b)(b-c)(c-a)-d,a/b+b/c+c/a-t},{t,d},{a,b,c}]
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