Find the maximum value of $x_1x_2+x_2x_3+\cdots+x_nx_1$
92763
Optimising $x_1x_2+x_2x_3+\cdots+x_nx_1$ given certain constraints
143374
Elegant proof that maximum of sums is, at most, sum of maximums
76267
Prove that: $x_1\cdot x_2\cdots x_n>y_1\cdot y_2\cdots y_m$.
80134
Maximum and minimum value of Determinant of $3 \times 3$ Matrix with entries $\pm 1$
44701
How to find maximum $x$ that $k^x$ divides $n!$
85535
Finding maximum of $|f'(i)|$
110262
Finding a closed formula for $1\cdot2\cdot3\cdots k +\dots + n(n+1)(n+2)\cdots(k+n-1)$
154223
Find the maximum value of $ f(x) = \int^{x}_{0} \sqrt{(x^2-x)^2+y^4}~dy$
23142
Suppose $x, y, z$ are positive real number such that $x + 2y + 3z = 1$. Find the maximum value of $xyz^2$
73716
Let $x,y,z>0$ and $x+y+z=1$, then find the least value of ${{x}\over {2-x}}+{{y}\over {2-y}}+{{z}\over {2-z}}$
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 $|z_1|=|z_2|=|z_3|=1$)?
138926
What is the maximum convergent $x$ in the power tower $x^{x^{x^{x\cdots}}}$?
60902
Find general solution for the equation $1 + 2 + \cdots + (n − 1) = (n + 1) + (n + 2) + \cdots + (n + r) $
88580
Finding the maximum value of $\int_0^1 f^3(x)dx$
99930
Find the Maximum value of $\frac{x}{\sqrt{x+y}}+\frac{y}{\sqrt{y+z}}+\frac{z}{\sqrt{z+x}}$
149269
If $a,b,c,d,e,f$ are non negative real numbers such that $a+b+c+d+e+f=1$, then find maximum value of $ab+bc+cd+de+ef$
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$