[DOC] [TLE] Diophantine Equations [PAR] His life span is placed somewhere between 150 BC and 300 AD. ... Diophantine 
equations are equations with integer coefficients in one or more variables. ... 
However, the equation (x + y + z) = x + y + z infinitely many such solutions. ... 
23; I. G. Bashmakova, Diophantus and Diophantine Equations, MAA, 1997; E. 
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The problem is to find integer solutions to an equation of the form ax + by + cz = d
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Question: (Jimmy of the Clue Crew demonstrates the problem at the blackboard.)  Diophantus gave his name to the Diophantine type of this, whose solution is an integer
Answer: an equation