Find all values of z for which $z^6 = (z+1)^6$.
100761
Find all $x$ such that $x^6 = (x+1)^6$.
37936
Solve for z^8-z^4+1 = 0
79638
Number of solns of $x^6+x=a$ in $\mathbb{F}_{2^m}$, where $m\geq 3$ is odd is same as number of solns of $x^2+ax+1=0$
88189
Finding all integer solutions of $5^x+7^y=2^z$
66210
Prove that $z^n + 1/{z^n}$ is a rational number
16400
Find all solutions to the equation $(z+1)^6=z^6$. Express the solutions in simplified rectangular form. Hint: Clearly $z=0$ is not a solution.
87907
How to find the maximum and minimum value of $\left|(z_1-z_2)^2 + (z_2-z_3)^2 + (z_3-z_1)^2\right|$ (where $|z_1|=|z_2|=|z_3|=1$)?
132488
Find all entire functions $f(z)$ such that $|f(z)|=1$ for $|z|=1$
73716
Let $x,y,z>0$ and $x+y+z=1$, then find the least value of ${{x}\over {2-x}}+{{y}\over {2-y}}+{{z}\over {2-z}}$
95669
Solutions of $|z| = z^5$ in $\Bbb{C}$?
12967
Find all $n>1$ such that $\dfrac{2^n+1}{n^2}$ is an integer.
16382
Find $a$ such that $(x+a)(x+1991)+1=(x+b)(x+c)$ with $a,b,c\in\Bbb Z$
118197
Solve $n(n+1)(n+2)=6m^3$ in positive integers
17508
Knowing $|z|$ and $|w|$ (and possibly $z\overline{w}$), what are $|z+w|^2$, $|zw|^2$, $|z-w|^2$, $|z/w|^2$?
154322
Localizing the zeros of $z^4+z+1$
134885
proving that $\mathbb{Q}(\sqrt{5}, \sqrt{6}) = \mathbb{Q}(\sqrt{5}+ \sqrt{6}) $
41689
Find all solutions: $x^2 + 2y^2 = z^2$