- Myra took a certain number of eggs to the market and sold some of them.
- The next day, through the industry of her hens, the number left over had been doubled, and she sold the same number as the previous day.
- On the third day the new remainder was tripled, and she sold the same number as before.
- On the fourth day the remainder was quadrupled, and her sales the same as before.
- On the fifth day what had been left over were quintupled, yet she sold exactly the same as on all the previous occasions and so disposed of her entire stock.
- Each of the number of eggs that Myra took to the market and the number of eggs that she sold on a given day is a positive integer.
What is the minimum number of eggs she could have taken to market the first day, and how many did she sell daily?