The degree of field extension $ [\mathbb Q(\alpha):\mathbb Q] $
41244
$\zeta_5$ has degree $4$ over $\mathbb{Q}$ and $\zeta_7$ has degree $6$ over $\mathbb{Q}$
122487
Degree of Rational Function
622
Galois Group of $\sqrt{2+\sqrt{2}}$ over $\mathbb{Q}$
80538
Fields extensions over isomorphic fields of different degrees
46572
Degree of a splitting field is no greater than $n!$
127796
Degree of field extension $F(x) / F(x^2 + 1 / x^2)$
17276
Number of points in the fibre and the degree of field extension
26999
How is the degree of the minimal polynomial related to the degree of a field extension?
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
155771
Product of degree of two field extensions of prime degree
111291
Galois group of $\mathbb Q(\sqrt{4+\sqrt 7})/\mathbb Q$
20218
Is this field extension finite?
92677
Infinite algebraic extension of a finite field
68065
Quadratic extensions in characteristic $2$
42213
Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$
68551
character degrees of finite simple groups: an elementary question
45302
Finding the $\mathbb{Q}$-automorphisms of the splitting field of $x^p-2$ over $\mathbb{Q}$.