Solve the following linear congruences
56574
For any integer $a,b$ let $N_{a,b}$ denote the number of positive integer $x<1000$ satisfying $x= a( mod\;27)$ and $x=b(mod\;37)$. Then
61483
Prove the following identity combinatorially
36713
Solving multiple congruences by CRT = Chinese Remainder Theorem
23726
A closed form for $1^{2}-2^{2}+3^{2}-4^{2}+ \cdots + (-1)^{n-1}n^{2}$
139474
Solving system of Congruences with Two Variables (x and y)
155659
Is there a formula for solving the congruence equation $ax^2 + bx + c=0$?
80875
Congruence equation ...
94327
Cubic Diophantine with two variables
8481
System of congruence relations
946
How to find solutions of linear Diophantine ax + by = c?
59856
Find $x,y$ given $\gcd(x,y)$ and ${\rm lcm}(x,y)$
45882
Solving a congruence without Fermat's little theorem
84879
Solving infinite sums with primes.
87976
How to solve these series?
33735
The square of an integer is congruent to 0 or 1 mod 4
108035
solving diophantine equations using congruences
97196
$k^{\phi(l)} + l^{\phi(k)} \equiv1\pmod{lk}\,$ if $\,\gcd(l,k)=1$