Solve negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity end quantity.

We have:

negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared

= -1/5 * (4 - 14 * (1/4)^2)

= -1/5 * (4 - 14 * 1/16)

= -1/5 * (4 - 14/16)

= -1/5 * (4 - 7/8)

= -1/5 * (32/8 - 7/8)

= -1/5 * (25/8)

= -25/40

= -5/8

Therefore, negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared equals -5/8.