Q.1
If a,b, c are real numbers and $a+b+c=0$ then what is the value of ${a}^{3}+{b}^{3}+{c}^{3}$ ?

Q.2
If ${a}^{4}+\frac{1}{{a}^{4}}=119$ then what is the value of ${a}^{3}+\frac{1}{{a}^{3}}$ ?

Q.3
If $x={2}^{-\frac{1}{3}}$ then the value of $2{x}^{3}-6x$ is

Q.4
If $x={3}^{\frac{1}{3}}+{3}^{-\frac{1}{3}}$ then the value of $3{x}^{3}-9x$ is?

Q.5
If ${a}^{2}=by+cz$ , ${b}^{2}=cz+ax$ and ${c}^{2}=ax+by$ then the value of $\frac{x}{a+x}+\frac{y}{b+y}+\frac{z}{c+z}$ ?

Q.6
If $x-\frac{1}{x}=\frac{1}{2}$ then what is the value of $4{x}^{2}+\frac{4}{{x}^{2}}?$

Q.7
If undefined then the value of undefined ?

Q.8
If $x+\frac{1}{x}=1$ then what is the value of ${x}^{12}+{x}^{9}+{x}^{6}+{x}^{3}+1=?$

Q.9
If  ${x}^{47}+\frac{1}{{x}^{47}}=2$ then ${x}^{48}-\frac{1}{{x}^{48}}$ ?

Q.10
If ${x}^{13}+\frac{1}{{x}^{13}}=2$ then the value of ${x}^{7}+\frac{1}{{x}^{7}}$ is?

Q.11
If $2a-\frac{3}{a}=-1$ then ${a}^{3}+4{a}^{2}-6a+1$ =?

Q.12
If $2x-\frac{3}{x}=5$ then the value of $4{x}^{2}-\frac{9}{{x}^{2}}$ is?

Q.13
If $x+\frac{2}{x}=3$ then the value of ${x}^{3}-{x}^{2}-4x+4$ is?

Q.14
If ${3}^{\left(x-y\right)}=27$ and ${3}^{\left(x+y\right)}=243$ then the value of x is?

Q.15
$\frac{x+y+z}{{x}^{-1}{y}^{-1}+{y}^{-1}{z}^{-1}+{z}^{-1}{x}^{-1}}=?$

Q.16
If a+b+c = 0 then find the value of $\frac{{a}^{2}+{b}^{2}+{c}^{2}}{{c}^{2}-ab}$ ?

Q.17
If $\left(x+\frac{1}{x}\right)=3$ then the value of $\left({x}^{3}+\frac{1}{{x}^{3}}\right)$ is?

Q.18
If x = 12 and y = 4 then the value of ${\left(x+y\right)}^{\mathrm{x/}y}$ is?

Q.19
If ${2}^{a}+{3}^{b}=17$ and ${2}^{a+2}-{3}^{b+1}=5$ then what is the value of a and b respectively?

Q.20
If $\frac{a}{2b}=\frac{3}{2}$ then $\frac{2a+b}{a-2b}$ equals to ?

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