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1. Does the Diophantine equation 12x + 33y = 0 have an integer solution? If so,...

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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