Find minimum $x+y+z$ given $3x=4y=7z$ and $x, y, z \in \mathbb N^+$
106729
Least Value Of $x+y+z$
123159
Solutions of the diophantine equation $x+y+z=xyz$?
13072
If $x,y,z\gt 0$ and $xyz=1$ Then minimum value of $\frac{x^2}{y+z}+\frac{y^2}{z+x}+\frac{z^2}{x+y}$
80982
Solve $a^3+b^3+3ab=1$ with $(a,b)\in \Bbb{Z}^2$
49209
Prove $(x+y)(y+z)(x+z)≤\frac8{27}(x+y+z)^3$
155493
Minimum value of the expression given below.
143194
How would you solve the diophantine $x^4+y^4=2z^2$
61302
Find the least value of $ \sec^6 x +\csc^6 x + \sec^6 x\csc^6 x$
54576
If $ 5x+12y=60$ , what is the minimum of $\sqrt{x^2+y^2}$?
128576
How to find $x^4+y^4+z^4$ from equation?
80638
find the minimum value given constraints
43181
What is the joint distribution of $Z=\min(X,Y)$ and $I_{Z=X}$?
63311
$x^3 +y^2 +z =100z+10y+x$ What is the largest and smallest integer that satisfies this equation.
31257
Let $a,b,c>0$ such that $a+b+c=3$, find max/min of $\frac1{a^2+1}+\frac1{b^2+1}+\frac1{c^2+1}$
87513
Global maximum and minimum of $f(x,y,z)=xyz$ with the constraint $x^2+2y^2+3z^2=6$ with Lagrange multipliers?
93634
X,Y,Z independent and $\sim N(1,1)$. Find $P(X+Y \geqq 3Z)$
152074
How to find out the global minimum of the following expression