A polyomial problem to show that Q (x)/$x^k $ is strictly positive
141078
Domain over which a polynomial is strictly positive
52108
how to prove Exponential is strictly positive?
103165
the number of the positive integer numbers $k$ that makes for the two quadratic equations $ \pm x^2 \pm px \pm k$ rational roots.
72144
Show that $\mathbb Q(\sqrt p) \not\simeq\mathbb Q(\sqrt q)$
110876
Prove that $p\mid \binom{p}{k},\ 0< k< p$
94119
Prove that $xy \leq\frac{x^p}{p} + \frac{y^q}{q}$
67820
Showing that $(A_{ij})=\left(\frac1{1+x_i+x_j}\right)$ is positive semidefinite
38876
$r! \equiv (−1)^k \pmod p$
41364
How to prove that $x^y - y^x = x + y$ has only one solution in positive integers?
63510
Prove: $\binom{n}{k}^{-1}=(n+1)\int_{0}^{1}x^{k}(1-x)^{n-k}dx$ for $0 \leq k \leq n$
103496
Show that $3p^2=q^2$ implies $3|p$ and $3|q$
56818
Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$
68308
A (probably trivial) induction problem: $\sum_2^nk^{-2}\lt1$
152297
Understanding quotients of $\mathbb{Q}[x]$
12079
A positive polynomial is the sum of two squares in $\mathbb{R}[X]$
66946
show that $(i+k)! > i!k!$ algebraically
125702
There is a square $Q$ consisting of $(0,0), (2,0), (0,2), (2,2)$