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What are the interesting topics in the history of mathematics?
There is a question in Nine Chapters of Arithmetic in Han Dynasty:

Five wells * * *

Five families use a well, and each family has a rope.

Twice the length of a rope plus the length of b rope is equal to the well depth;

Three times the length of B-series rope plus the length of C-series rope is equal to the well depth;

Four times the length of C-family rope and four times the length of D-family rope are equal to the well depth;

Five times the length of Ding Jia rope and five times the length of Wu Jia rope are equal to the depth of the well;

Wu Jia's 6 times rope length and Jiajia's rope length are equal to the well depth;

Q: What is the length and depth of each rope?