6. where a and b are constants depending on the amount of friction in the machine. If a force of 7 pounds will raise a weight of 20 pounds, and a force of 13 pounds will raise a weight of 50 pounds, what force is necessary to raise a weight of 40 pounds? (First determine the constants a and b.) (Harvard.)

7. Reduce to the simplest form:

8. Determine the H. C. F. and L. C. M. of

and

(College Entrance Board.)