Calculate $x^4 + y^4 + z^4$ if $x + y + z = 1$ , $x^2 + y^2 + z^2 = 2$ and $x^3 + y^3 + z^3 = 3$
128576
How to find $x^4+y^4+z^4$ from equation?
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$
66317
How to solve $z^3+z+1=0$?
86378
Prove that $3(a^3+b^3+c^3) > (a+b+c)(a^2+b^2+c^2)$
49794
Solve $f(x^2+y+f(y))=2y+f(x)^2$ over $\mathbb{R}$
46814
$ a+b+c+d=6 , a^2+b^2+c^2+d^2=12$ $\implies$ $ 36 \leq 4(a^3+b^3+c^3+d^3)-(a^4+b^4+c^4+d^4) \leq48 $
71756
diophantine equation: $x^2 +y^2 = z^n$
82083
Solving $(z+1)^5 = z^5$
113268
Proving $x^4+y^4=z^2$ has no integer solutions
67899
Integer squares of the form $x^4+x^3+x^2+x+1$
29876
Find the number of triples $(x,y,z)$ of real numbers satisfying the equation $x^4+y^4+z^4+1=4xyz$
62980
How do you factorise $x^3z - x^3y - y^3z + yz^3 + xy^3 - xz^3$?
133680
On the equation $3x^3 + 4y^3 + 5z^3 = 0$
53725
Factor $(x+y)^4+x^4+y^4$
13909
How to find the roots of $x^4 +1$
87029
Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
150925
Finding all integral solutions of $x^4+y^4+z^4-w^4=1995$