Number of soulutions for $\bar x^m = \bar a$ in $\mathbb{Z}_p$.
94217
Solve the equation $x^n=a$ in a finite field
7085
Prove that if the equation $x^{2} \equiv a\pmod{pq}$ has any solutions, then it has four solutions.
110464
Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$
80188
There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
94407
Number of solutions for $x[1] + x[2] + \ldots + x[n] =k$
145104
$T:$ $\mathbb{C}$ $\to$ $\mathbb{C}$ by $T(z)=\lambda z + \mu \bar{z}$ for every $z \in \mathbb{C}$
133101
Number of solutions of $P(x)=e^{ax}$ if $P$ is a polynomial
143000
Show that there exists a $c\in \mathbb{C}$ such that $f(z)=c \bar{z}$ for all $\vert z\vert=1$.
18634
Combinations of sets raised to the power of a prime modulus: $\binom{p^{\alpha}-1}k \equiv (-1)^k \pmod p$
112049
How many elements does $\mathcal{P}(A)$ have?
85626
prove $\sum_{i=1}^{n}(x_i-\bar{x})^2\lt\sum_{i=1}^{n}(x_i-a)^2$
21250
Prove $x \equiv a \pmod{p}$ and $x \equiv a \pmod{q}$ then $x \equiv a\pmod{pq}$
77595
Number of solutions of $x_1 + 2x_2 + 3x_3 + \cdots + n x_n = p$
103304
Finding the number of solutions to a diophantine equation
158364
Are there uncountably many $A\in M_3 (\mathbb {R})$ such that $A^8=I $?
48268
How many $\alpha \in S_n$ are such that $\alpha^2 = 1$?
128107
find all $ a \in \mathbb N $ such that $2^a − 1 \equiv 0 \pmod 3$ and $ 4x^2 + 1 \equiv 0 \pmod {\frac{2^a -1}{3}}$ has a solution