Find the value of $\frac{\alpha^{2014}+\beta^{2014}+\alpha^{2016}+\beta^{2016}}{\alpha^{2015}+\beta^{2015}}$ for the roots of $x^2-3x+1$
100278
Find $\alpha^{2016} + \beta^{2016} + \alpha^{2014} + \beta^{2014} \over \alpha^{2015} + \beta^{2015}$ for zeroes of the polynomial $x^2+3x +1$
113045
How do I find the inverse of $f(x) = \frac{x}{x^2 + 1}$
25883
Calculating $\Big\lfloor\underbrace{\sqrt{2017+\sqrt{2017+...+\sqrt{2017}}}}_\text{2017 roots}\Big\rfloor$
55197
Roots of $ x^3-3x+1$
74570
Finding distribution of $\frac{X_1+X_2 X_3}{\sqrt{1+X_3^2}}$
74081
Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$
62446
Solve the equation $x^2+\frac{9x^2}{(x+3)^2}=27$
149355
find $\left( \frac{x}{x+y} \right)^{2007} + \left( \frac{y}{x+y} \right)^{2007}$
38662
If $a,b$ are the roots of the equation $2 x^2 -3 x +1 = 0$, find an equation whose roots are $a/(2b +3)$, $b/(2a +3)$
135774
Alternating roots of $f(x) = \exp(x) \sin(x) -1$ and $\exp(x)\cos(x) +1$
134610
Find the sum of finite series $S=\sum_{k=1}^{2015}{(-1)^{\frac{k(k+1)}{2}}}k$
62758
How find this value $\frac{a^3}{(a-p)(a-q)}+\frac{b^3}{(b-p)(b-q)}+\frac{c^3}{(c-p)(c-q)}$
2519
Finding double root. An easier way?
92966
All integer values of $\frac{a^2+b^2+1}{ab-1}$
31856
Find $a^{2013} + b^{2013} + c^{2013}$
13909
How to find the roots of $x^4 +1$
81596
Series expansion at $x=0$ of $\frac{3x}{1+x^2 + x^4}$