Find all polynomials that fix $\mathbb Q$ and the irrationals
47856
$f(x)=ax+b$ for some $a,b\in\mathbb{Q}$ if $f(\mathbb{Q})\subset\mathbb{Q}$ and $f(\mathbb{R-Q})\subseteq \mathbb{R}-\mathbb{Q}$
86988
Cardinality of the Irrationals
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
100862
Polynomials with rational zeros
63321
Polynomials and partitions
80304
Roots of $\,ax^2+bx+c\,$ are irrational if $a,b,c$ are odd integers
12701
Perfect set without rationals
22800
Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
94019
Find all $p$'s such that $p^4 + p^3 + p^2 + p +1$ is a perfect square.
105395
Minimal polynomial of $1 + 2^{1/3} + 4^{1/3}$
34998
How to prove that $\mathbb{Q}$ ( the rationals) is a countable set
108550
Elements of $\mathbb Q(2^{1/3})$
155559
Quickest way to determine a polynomial with positive integer coefficients
46821
Finding roots in $\mathbb{Z}_p$
86015
$\mathbb Q[x]/(x^2+1)$ is not isomorphic to $\mathbb Q[x]/(x^2+2)$
131869
How to find all polynomials P(x) such that $P(x^2-2)=P(x)^2 -2$?
82262
minimal polynomial of nth root of 2 over $\mathbb Q$