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Assignment - Solve these questions and write the solution in LaTeX:
Q1. Which of the following Diophantine equations cannot be solved?
(a) 6x + 51y = 22.
(b) 33x + 14y = 115.
(c) 14x + 35y = 93.
Q2. Determine all solutions in the integers of the following Diophantine equations:
(a) 56x + 72y = 40.
(b) 24x + 138y = 18.
(c) 221x + 35y = 11.
Q3. Determine all solutions in the positive integers of the following Diophantine equations:
(a) 18x + 5y = 48.
(b) 54x + 21y = 906.
(c) 123x + 360y = 99.
(d) 158x - 57y = 7.
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