Solve in integers $y^2 = x^3 + (x+4)^2$
94327
Cubic Diophantine with two variables
71756
diophantine equation: $x^2 +y^2 = z^n$
133164
Rational solutions for $x^2+y^2=3$
35504
The Diophantine equation $x^2 + 2 = y^3$
80982
Solve $a^3+b^3+3ab=1$ with $(a,b)\in \Bbb{Z}^2$
156266
Solving $|x-2| + |x-5|=3$
61877
Find all integer solutions to Diophantine equation $x^3+y^3+z^3=w^3$
31317
If we know $x+y+z=1$, $x^2+y^2+z^2=2$, and $x^3+y^3+z^3=3$, how to find $x^4+y^4+z^4$?
65000
prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$
38849
Solve $x^y \, = \, y^x$
88333
Find all integral solutions of $y^2=x^3+7$
67015
Solve $x^2 + 8 = 3^n$, where $x\in\mathbb N$.
99739
The diophantine equation $x^2+y^2=3z^2$
94067
How prove this diophantine equation $x^2+y^2+z^3=n$ always have integer solution
137010
What are integers $x$ and $n$ such as $ x^4+x^3+x^2+x+1 = n^2$?
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
69328
(USAJMO)Find the integer solutions:$ab^5+3=x^3,a^5b+3=y^3$