Polynomials and Arithmetic: If $p(x_i) = 7$ for four integers, then $p(z)\ne14$
64126
integral roots for $f(x) = 41$ if $f(x) = 37$ has 5 distinct integral roots.
27494
$P_n(x):=1+ \sum_{m=1}^n\dfrac{x^m}{m!}$ has no real root for even $n$ and exactly one real root for odd $n$
153647
Elementary number theory and quadratic
139017
If a polynomial takes integer values at every integer, does it have integer coefficients?
40400
Finding an isomorphism between $\mathbb{Z}[i]/(7)$ and $\mathbb{Z}[\sqrt{-2}]/(7)$
135351
$C(n,p)$: even or odd?
114146
Polynomial in $n$ variables
13083
If for a polynomial $P(k) = 2^k$ for $k = 0, 1, . . . , n$, what is $P(n+1)$?
8434
Order of $\mathbb{Z}[i]/(1+i)$
61987
$x^2+1=0$ in $\mathbb{Z}_7$
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$
26336
Prove that $n(n^2 - 1)(n + 2)$ is divisible by $4$ for any integer $n$
32391
Show that $x^2+x+4$ is irreducible over $\mathbb Z_{11}$.
93634
X,Y,Z independent and $\sim N(1,1)$. Find $P(X+Y \geqq 3Z)$
40131
If n is such that every element $(\mathbb{Z}/n\mathbb{Z})^{\times}$ is a root of $x^2-1$. Prove that $n$ divides 24.
103832
Number of solutions of $x_1 + x_2 + x_3 + x_4 = 14$ such that $x_i \le 6$
156272
Unique pair of positive integers $(p,n)$ satisfying $p^3-p=n^7-n^3$ where $p$ is prime