If $$ {t^{2}-4t+1=0}$$ then what is the value of $${t^{3}+{1\over {t^{3}}}}$$ ?

Solve the following equation.

If $$ {x+{1\over {x}}=1}$$, then find the value of $$ {x^{208}+{x^{205}+x^{204}+x^{201}}}$$.

If $$ {3x+}{2\over {\sqrt{x}}}=1$$ then $$ {x-{\sqrt{x}}}=?$$

If a=34, b=c=33, then the value of a3+b3+c3-3abc is 

If bc+ab+ca=abc, then the value of $$ {b+c\over {bc(a-1)}}+{a-c\over {ac(b-1)}}+{a+b\over {ab(c-1)}}$$ is

if a³b = abc = 180, a, b, c are positive integers, then the value of c is 

lf p + m = 6 and p³ + m³ = 72, then the value of pm is: