Find all pairs $(x, y)$ such that $16^{x^{2}+y}+16^{x+y^{2}}=1 $
124223
Find all pairs (x, y) of real numbers such that $16^{x^2+y} + 16^{x+y^2}=1$
111467
find all natural solution that satisfy $x^2+y^2 = 3z^2$
47809
If $x,y\in\mathbb Z$, solve $x^2+xy+y^2=x^2y^2$.
83496
Math contest integer triplet problem: $x + y + z + xy + yz + xz = xyz − 1$
48502
number of ordered pairs of integers $(x,y)$ satisfying the equation
150925
Finding all integral solutions of $x^4+y^4+z^4-w^4=1995$
103020
Find all integral solutions of $ x^4 + y^4 + z^4 -w^4 = 1995 $
142313
Find all natural numbers $x,y$ such that $3^x=2y^2+1$.
69734
how to find all functions such that $f\left( x^{2} - y^{2} \right) = ( x - y )( f(x) + f(y) )$
53503
Solving the diophantine equation $y^{2}=x^{3}-2$
68164
$(2x^2+3y^2-7)xdx-(3x^2+2y^2-8)ydy=0$
22112
Find all integer solutions to $x^2+4=y^3$.
11868
Let $a,b,c\in \Bbb R^+$ such that $(1+a+b+c)(1+\frac{1}{a}+\frac{1}{b}+\frac{1}{c})=16$. Find $(a+b+c)$
59196
Find all real solutions for $x$ in $ 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 . $
70406
Find all values x, y and z which satisfy the equation $(x^2 + 1)(y^2 + 1) = z^2 + 1$ given that $(x^2 + 1)$ and $(y^2 + 1)$ are both primes.
24307
Is $x^x=y$ solvable for $x$?
15268
Find all $x,y \in \mathbb N^*$ such that $\frac{1}{x} + \frac{1}{y}=5$