Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{71}{14} \) = 5\(\frac{1}{14}\)

So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{4!}{6!} \)
\( \frac{4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6 \times 5} \)
\( \frac{1}{30} \)

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{7b^8}{4b^3} \)
\( \frac{7}{4} \) b^{(8 - 3)}
1\(\frac{3}{4}\)b⁵

The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.

First, solve for \( \left|y + 4\right| \):

\( \left|y + 4\right| \) + 6 = -7
\( \left|y + 4\right| \) = -7 - 6
\( \left|y + 4\right| \) = -13

The value inside the absolute value brackets can be either positive or negative so (y + 4) must equal - 13 or --13 for \( \left|y + 4\right| \) to equal -13:

So, y = 9 or y = -17.