Show $t^5-5t+1$ has no multiplicities
45811
How to prove that r is a double root if and only if it is a root of a polynomial and of its derivative.
3611
How to prove $n^5 - n$ is divisible by $30$ without reduction
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational
148217
A polynomial with integer coefficients that attains the value $5$ at four distinct points
144765
Solving $\sqrt{x+5} = x - 1$
50241
Cardinality of the quotient ring $\mathbb Z_5[i]/\langle 1+i\rangle$
128060
Proof that the relation $5 \mid (a + 4b)$ is symmetric and transitive
128043
$A^n=0$ for $A$ nilpotent without the use of minimal polynomial
100134
Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC
32516
show that rational numbers with the multipiciation are not abelian finitely generated group
132386
Show that $(\mathbb{Q}^*,\cdot)$ and $(\mathbb{R}^*,\cdot)$ aren't cyclic
51649
prove there is no smallest positive rational number
109224
Accumulation points of $\{ 2^{-n} + 5^{-m} : n,m \geq 1 \}$
98731
Show that there is no epimorphism from ($\mathbb{Q}$, +) to ($\mathbb{Z}$, +)
20705
On equations $m^2+1=5^n$
143409
Simplify $\sqrt {\sqrt[3]{5}-\sqrt[3]{4}}$.