x^4+y^3+y+y^5+1+y^2. (y^3+1
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= x^4 + y^3 + y + y^5 + 1 + y^2 (y^3 + 1)
= x^4 + y^3 + y + y^5 + (y^2 y^3 + y^2) +1
= x^4 + y^3 + y + y^5 + (y^2+3 + y^2) + 1
= x^4 + y^3 + y + y^5 + y^5 + y^2 +1
= x^4 + y^3 + y + 2y^5 + y^2 + 1
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