Divide

: $\left(x^{5 }+y^{5 }\right)$ by $\left(x+y\right)$ ,

$\log \frac{m}{n}=$

Divide the given polynomial by the given monomial.

$8\left(x^3{y}^2{z}^2+x^2{y}^3{z}^2+x^2{y}^2{z}^3\right)÷4x^2{y}^2{z}^2$

Simplify the following:

$\frac{63x^4{y}^3}{7x^{2}y}$

Simplify the following:

$\frac{96p^{11}{q}^{12}{r}^{10}{s}^7}{4p^8{q}^6{r}^5{s}^4}$

Carry out the following divisions.

$12a^8{b}^8÷\left(-6a^6{b}^4\right)$

If $\left(p^3{q}^6-p^6{q}^3\right)÷p^3{q}^3=q^{\mathrm{k}}-p^3$. Find the value of $\mathrm{k}$.

Divide the following:

$\left\{(-2{)}^4{\mathrm{x}}^2{\mathrm{z}}^3\mathrm{y}+2^4{\mathrm{z}}^2{\mathrm{x}}^4-4{\mathrm{z}}^4{\mathrm{y}}^4\right\}÷2{\mathrm{z}}^2$

Divide: $5m^3-30m^2+45m$ by $5m$

If the result of the division of $\left(3y^8-4y^6+5y^4\right)÷y^4$ is $a{y}^m+b{y}^n+c{y}^p$, write the value of $m+n+p$.

Divide:

$24x^{10}+36x^8+48x^7-60x^5$ by $12x^3$

Divide:

$-27x^4{y}^5+36x^3{y}^4-45x^5{y}^3$ by $-9x^2{y}^2$

Simplify the following:

$\frac{-54x^9{y}^8{z}^5}{6x^5{y}^3{z}^4}$

If $\left({\mathrm{x}}^3+2{\mathrm{x}}^2+3\mathrm{x}\right)÷2\mathrm{x}=\frac{1}{\mathrm{k}}\left({\mathrm{x}}^2+2\mathrm{x}+3\right)$. Then, find the value of $\mathrm{k}$.

Simplify the following:

$\frac{-112a^5{b}^3{c}^2}{-2a^3{b}^2{c}^2}$

Carry out the following divisions.

$28x^4÷56x$

Divide using the factorization method:

${\left(3x-y\right)}^2-{\left(x+y\right)}^2$ by $2\left(x-y\right)$

Divide: $24x^2{y}^3$ by $3xy$

Work out the following division.

$\left(10x-25\right)÷5$