algebra problem world problem

The Emperor of Qin secretly counts his soldiers in an enigmatic manner. When he counts his soldiers in groups of three, two soldiers are left. When the emperor counts in groups of five, three soldiers are left, and when the soldiers are counted in groups of seven, two soldiers are left*. *

*How many soldiers are there?*

*What is the smallest number of soldiers possible?*

*What are some of the other possible numbers of soldiers that could be there?* **Try to generalize.**

i'm going crazy with this problem..please SHOW ALL WORK, and i relaly need this in a hurry!!!!!!! if you don't want to solve the whole problem then please just give me a little way to head here..and explain clearly :) ALSO can you please tell me if you'r a 100% sure or not :) THANK YOU i really appreciate it :confused: :confused: :confused: :confused: :confused: