###### 5

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{t+4}{\left(t+5\right)\!\left(t+4\right)}}=}\)

###### 6

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{x-10}{\left(x+2\right)\!\left(x-10\right)}}=}\)

###### 7

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-6\!\left(x-7\right)}{\left(x+9\right)\!\left(x-7\right)}}=}\)

###### 8

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-10\!\left(x+4\right)}{\left(x+6\right)\!\left(x+4\right)}}=}\)

###### 9

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{\left(y-10\right)\!\left(y-3\right)}{3-y}}=}\)

###### 10

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{\left(y+7\right)\!\left(y-10\right)}{10-y}}=}\)

###### 11

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-4r-32}{r+8}}=}\)

###### 12

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{10r+50}{r+5}}=}\)

###### 13

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{3t}{t^{2}+6t}}=}\)

###### 14

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{9t}{t^{2}-3t}}=}\)

###### 15

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{6x-x^{2}}{x^{2}-x-30}}=}\)

###### 16

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{4x-x^{2}}{x^{2}-6x+8}}=}\)

###### 17

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{x^{2}-x}{1-x^{2}}}=}\)

###### 18

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{y^{2}+5y}{25-y^{2}}}=}\)

###### 19

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-y^{2}+3y}{9-y^{2}}}=}\)

###### 20

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-r^{2}-r}{-2-3r-r^{2}}}=}\)

###### 21

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{5r^{2}+8r+3}{-r+3-4r^{2}}}=}\)

###### 22

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{3t^{2}+8t+5}{-11t-6-5t^{2}}}=}\)

###### 23

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{t^{2}+2t-3}{-6t-t^{2}-9}}=}\)

###### 24

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{x^{2}+6x+5}{-2x-x^{2}-1}}=}\)

###### 25

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-x^{2}-8x-15}{x^{2}-25}}=}\)

###### 26

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-x^{2}-3x+4}{x^{2}-16}}=}\)

###### 27

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{5y^{2}+y-4}{-11y-5-6y^{2}}}=}\)

###### 28

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{2y^{2}+5y+3}{-7y-3-4y^{2}}}=}\)

###### 29

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{-2r^{4}-r^{5}}{r^{2}+5r+6}}=}\)

###### 30

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{6r^{3}-r^{4}}{r^{2}-7r+6}}=}\)

###### 31

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{t^{4}-6t^{3}+5t^{2}}{t^{4}-3t^{3}+2t^{2}}}=}\)

###### 32

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{t^{6}+4t^{5}-5t^{4}}{t^{6}-t^{5}-30t^{4}}}=}\)

###### 33

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{x^{3}-64}{x^{2}-16}}=}\)

###### 34

Simplify the following expression, and if applicable, write the restricted domain on the simplified expression.

\(\displaystyle{{\frac{x^{3}+8}{x^{2}-4}}=}\)