Find all the integer pairs $(x,y)$ that satisfy the equation $7x^2-40xy+7y^2=(|x-y|+2)^3$
105302
Solutions of bivariate cubic Diophantine equation
13120
Find all integer solutions to $x^2+y^2+z^2=2xyz$
47001
Cubic diophantine equation
90261
Find all solutions of the equation $n^m=x^2+py^2$ which satisfy the following properties
89804
Diophantine equation: $7^x=3^y-2$
105263
Find the value of $x,y$ for the equation $12x+5y=7$ using number theory .
150085
Solutions to the diophantine equation: $2a^2 + 2b^2- c^2- d^2 = 0$
101019
$x^3-9=y^2$ find integral solutions
61105
solve$\frac{xdx+ydy}{xdy-ydx}=\sqrt{\frac{a^2-x^2-y^2}{x^2+y^2}}$
146308
Solving 2-degree equations in 3 variables.
53042
Find solutions to $\varphi\left(n\right)=2^{32}$
117392
Does $x^2 - y^2 = 12345678$ (x,y are integers) have any solutions?
153377
How to solve $y^2=3x^4+3x^2+1$ for integers.
46547
System of equations: $x^2+y=7, y^2+x=11$
65849
What are the common solutions of $x^2+y=31$ and $y^2+x=41$?
29876
Find the number of triples $(x,y,z)$ of real numbers satisfying the equation $x^4+y^4+z^4+1=4xyz$
145287
Solve for integers $x, y, z$ such that $x + y = 1 - z$ and $x^3 + y^3 = 1 - z^2$.