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Small molecules in mathematics
Analysis: the smaller the molecules in this question, the better, and try to reduce the molecules.

The largest molecule is naturally ba^2, so we should consider killing it first.

By AB 2+B+7 ∣ AB 2+B+7

Get ab 2+b+7 ∣ a (ab 2+b+7)-b (ba 2+a+b) = 7a-b 2.

It is discussed in three cases: (1) 7a-b 2 = 0.

At this time, b = 7k, a = 7k 2, and k is an arbitrary positive integer, which meets the test conditions.

(2)7a-b^2<; 0

At this time, AB 2+B+7 ≤ B 2-7a of property 5 is divisible.

But ab 2+b+7 > b 2 >: B 2-7a, contradiction

(3)7a-b^2>; 0

Ab 2+b+7 ≤ 7a-b 2 of property 5 is divisible at this time.

But ab 2+b+7 > ab 2, 7a-b 2 < 7a, so b 2