Archimedes' cattle problem is a problem in Diophantine analysis whose solutions involve fairly large numbers. The "Cattle of the Sun" consist of four herds: white (W), black (B), dappled (D), and yellow (Y), and each cattle is a bull or a cow. Capital letters denote the number of bulls in each herd, and lowercase letters the number of cows. The system is subject to the following constraints: \(W = (1/2 + 1/3)B + Y\) \(B = (1/2 + 1/3)D + Y\) \(D = (1/6 + 1/7)W + Y\) \(w = (1/3 + 1/4)(B + b)\) \(b = (1/3 + 1/4)(D + d)\) \(d = (1/3 + 1/4)(Y + y)\) \(y = (1/3 + 1/4)(W + w)\)