Is there a systematic way of solving $x^2-x=0 \pmod{10000}$?
3563
Find all roots of $\,x^2\!\equiv x\pmod{\!900}$, i.e all idempotents in $\Bbb Z_{900}$
13242
Is there a systematic way of solving cubic equations?
42754
Modular arithmetic: division, fractions, solving linear congruences
152591
For which prime numbers $p$ does the congruence $x^2 + x + 1 \equiv 0 \pmod{p}$ have solutions?
48949
Solving a Diophantine equation with a large solution
19071
solution set for congruence $x^2 \equiv 1 \mod m$
72406
Last two digits of $2^{1000}$ via Chinese Remainder Theorem?
22029
Solving modular arithmetic questions
36713
Solving multiple congruences by CRT = Chinese Remainder Theorem
133430
How to solve $x^x=100$?
150734
Solving $\lim\limits_{x\to0} \frac{x - \sin(x)}{x^2}$ without L'Hospital's Rule.
4972
Mod of numbers with large exponents [modular order reduction]
62036
Finding the number of non-negative integral solutions of $x + y + z = 10$
123441
Quadratic congruences problem $(x^2-a)(x^2-b)(x^2-ab)$ ≡ 0 (mod p)
121122
Calculate $2^{5104} \bmod 10$ using mental arithmetic
92700
How can I solve $x^2 \equiv 19 \pmod {59}$.
18767
How do you find the modular inverse of $5\pmod{\!11}$