Find all integer solutions of equation $y = \frac{a+bx}{b-x}$
15268
Find all $x,y \in \mathbb N^*$ such that $\frac{1}{x} + \frac{1}{y}=5$
103304
Finding the number of solutions to a diophantine equation
1001
Number of integer solutions of $x^2 + y^2 = k$
29078
find all the values of a and b so that the system has a) no solution b) 1 solution c) exactly 3 solutions and 4) infinitely many solutions
157264
Solve $\frac1x+\frac1y=\frac1{pq}$
14773
Finding distinct solutions for the equation
54929
Finding integer solutions for $6x+15y+20z=1$
103555
Find all positive integral soludions of $\frac{a}{b+c} + \frac{b}{a+c} + \frac{c}{a+b} = 4$
114996
$x+y+z=n$. Finding the number of solutions.
139474
Solving system of Congruences with Two Variables (x and y)
41364
How to prove that $x^y - y^x = x + y$ has only one solution in positive integers?
61210
BMO2 1995 Question 1 - Solve the equation for positive integers (a,b,c)
147837
Find the parameter values satisfying conditions for all roots of an equation
19474
Find all solutions to the functional equation $f(x) +f(x+y)=y+2 $
71465
solution of $y' = \exp \left(-\frac yx\right) + \frac yx$
21679
Solving $x^3-y^3=xy+61$ in integers
87304
Solving for $x$ : $a^x+b^x=c$