Find the maximum value of $x^3 + y^3 + z^3$ where $x, y, z \in [0, 2]$ and $x + y + z = 3$.
56796
Maximum of $x^3+y^3+z^3$ with $x+y+z=3$
81790
Polynomial maximization: If $x^4+ax^3+3x^2+bx+1 \ge 0$, find the maximum value of $a^2+b^2$
50760
Solutions to $y^2 = x^3 + k$?
80982
Solve $a^3+b^3+3ab=1$ with $(a,b)\in \Bbb{Z}^2$
151012
Find the value of $\lfloor x+y \rfloor$ where $x \in \mathbb{R}$, $y \in \mathbb{Z}$
99930
Find the Maximum value of $\frac{x}{\sqrt{x+y}}+\frac{y}{\sqrt{y+z}}+\frac{z}{\sqrt{z+x}}$
61877
Find all integer solutions to Diophantine equation $x^3+y^3+z^3=w^3$
70692
Solve $x^2+2=y^3$ using infinite descent?
107205
Find all Integral solutions to $x+y+z=3$, $x^3+y^3+z^3=3$.
35504
The Diophantine equation $x^2 + 2 = y^3$
28218
Elementary proof for $\sqrt[3]{xyz} \leq \dfrac{x+y+z}{3}$
73716
Let $x,y,z>0$ and $x+y+z=1$, then find the least value of ${{x}\over {2-x}}+{{y}\over {2-y}}+{{z}\over {2-z}}$
87029
Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
144863
Finding integer solutions to $y^2=x^3-2$
88580
Finding the maximum value of $\int_0^1 f^3(x)dx$
100900
Finding maxima and minima of $f(x,y)= x^4 + y^4 - 2x^2 - 2y^2 + 4xy$
23638
$a^2b^2+a^2c^2+b^2c^2\leq 3$