1. Does the Diophantine equation 12x + 33y = 0 have an integer solution? If so, can you list all integer solutions?
2. Does the Diophantine equation 12x + 33y = 1 have an integer solution? If so, can you list all integer solutions?
3. Does the Diophantine equation 12x + 33y = 9 have an integer solution? If so, can you list all integer solutions?
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