Data Set 1:
0

Data Set 2:
xy^2

Data Set 3:
x

Data Set 4:
x^2y

Data Set 5:
1

Data Set 6:
x^2 + y^2

Data Set 7:
x^3y^2

Data Set 8:
y^2

Data Set 9:
xy

Data Set 10:
0

Data Set 11:
xy^2

Data Set 12:
1

Data Set 13:
x^49 + x^19y^30 + x^3y^44

Data Set 14:
x^34y^5 + x^32y^11 + x^29y^18 + x^28y^20 + x^20y^28 + x^18y^29 + x^11y^32 + x^5y^34

Data Set 15:
0