Find an integer $r$ with $0 ≤ r ≤ 10$ such that $7^{137 }≡ r (\text{mod} 11)$.
360
Modular exponentiation by hand ($a^b\bmod c$)
3733
If $11z^{10}+10iz^9+10iz-11 = 0$. Then possible value of $\mid z \mid,$ is
154944
Quadratic congruence in $ \mathbb{Z}/187\mathbb{Z},\ 187 =11\cdot 17 $
28661
What will be the one's digit of the remainder in: $\left|5555^{2222} + 2222^{5555}\right|\div 7=?$
22029
Solving modular arithmetic questions
4972
Mod of numbers with large exponents [modular order reduction]
33735
The square of an integer is congruent to 0 or 1 mod 4
93094
How do I solve this problem on maximizing sum modulo a given number?
6837
How to quotient $\mathbb Z [\sqrt{-11}] / (1+\sqrt{-11})$?
51161
Finding the inverse of 84 mod 5
56760
Prove by induction that an expression is divisible by 11
75351
How to find inverse Modulo?
33998
Show that given seven real numbers, it is always possible take two of them, such that $\left\vert\frac{a-b}{1+ab}\right\vert<\frac{1}{\sqrt{3}}$
107848
Finding the remainder of $\overbrace{11\ldots1}^{123 \text{ times}}$ divided by $271$
93820
Fermat's little theorem applied for $n$'th root existence $\!\bmod p$
72620
Finding the value of $1.1^{82}$ using $(1+x)^{82}$ to a certain accuracy
49967
Find the last two digits of $ 7^{81} ?$