Find the minimum value of this rational expression
54078
The minimum value of $\frac{(x+\frac{1}{x})^6-(x^6+\frac{1}{x^6})-2}{(x+\frac{1}{x})^3+x^3+\frac{1}{x^3}}$
137301
To find the minimum of $\int_0^1 (f''(x))^2dx$
117970
Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
31257
Let $a,b,c>0$ such that $a+b+c=3$, find max/min of $\frac1{a^2+1}+\frac1{b^2+1}+\frac1{c^2+1}$
153043
Show that $\sqrt{4+2\sqrt{3}}-\sqrt{3}$ is rational using the rational zeros theorem
133164
Rational solutions for $x^2+y^2=3$
156702
Finding value of an expression
27278
Let $\alpha \in \overline{\Bbb Q}$ a root of $X^3+X+1\in\Bbb Q[X]$. Calculate the minimum polynomial of $\alpha^{-1}$ en $\alpha -1$.
126259
Minimum of a function on an open interval
708
Find the minimum of $(u-v)^2+ (\sqrt{2-u^2}-\frac{9}{v})^2$ for $00$.
21986
What is the minimum value of $(1 + a_1)(1 + a_2). . .(1 + a_n)$?
77403
Finding the minimal polynomial of $\sqrt 2 + \sqrt[3] 2$ over $\mathbb Q$.
75349
Minimal polynomial of $\sqrt[3]{2} + \sqrt{3}$
106729
Least Value Of $x+y+z$
65645
Express $w$ and $\frac1w$ for $w=\frac {\sqrt2+\sqrt3}{\sqrt5-\sqrt3}$ in the simplest form with a rational denominator
103310
Evaluation of the following expression
105395
Minimal polynomial of $1 + 2^{1/3} + 4^{1/3}$