Find $x^n+y^n+z^n$ general solution
31317
If we know $x+y+z=1$, $x^2+y^2+z^2=2$, and $x^3+y^3+z^3=3$, how to find $x^4+y^4+z^4$?
54355
$1+x+\ldots+x^n$ perfect square
85917
Solve $(x+1)^y-x^z=1$
29876
Find the number of triples $(x,y,z)$ of real numbers satisfying the equation $x^4+y^4+z^4+1=4xyz$
87345
How many ways so that $x+y+z\leq n$?
88189
Finding all integer solutions of $5^x+7^y=2^z$
62980
How do you factorise $x^3z - x^3y - y^3z + yz^3 + xy^3 - xz^3$?
946
How to find solutions of linear Diophantine ax + by = c?
37771
Sum of a power series $n x^n$
109304
The roots of the equation $z^n=(1+z)^n$...
65000
prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$
18903
Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
73538
solving $\cos z + \sin z = i$
41383
Prove that $(x+y+z)^2(yz+zx+xy)^2 \leq 3(y^2+yz+z^2)(z^2+zx+x^2)(x^2+xy+y^2)$
144863
Finding integer solutions to $y^2=x^3-2$
54608
How to find all solutions of $4^x-3^x=1$?
26461
Integer solutions of $x^3-x+9=5y^2$