Number of ordered pairs of integers $(x,y)$ satisfying the equation $x^2+6x+y^2=4$
48502
number of ordered pairs of integers $(x,y)$ satisfying the equation
44354
Total number of solutions of an equation
24837
$x^2+1=0$ uncountable many solutions
35066
Nature and number of solutions to $xy=x+y$
71482
Solve $p_4(x) = x^4 −(2m + 4)x^2 + (m−2)^2 $such that $p_4$ is a product of two non-constant integer-coeficient polynomials
156542
Number of solutions to $a_1 + a_2 + \dots + a_k = n$ where $n \gt 0$ and $0 \lt a_1 \leq a_2 \leq \dots \leq a_k$ are integers.
41939
How many ordered quadruples $(w, x, y, z)$ of non-negative integers are there such that $wxyz = 288$? Why?
10548
The equation $-1 = x^2 + y^2$ in finite fields
59091
A quartic diophantine equation
153241
Four different positive integers a, b, c, and d are such that $a^2 + b^2 = c^2 + d^2$
118744
Show that there are exactly 16 pairs of integers $(x,y)$ such that $11x+8y+17=xy$.
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
124223
Find all pairs (x, y) of real numbers such that $16^{x^2+y} + 16^{x+y^2}=1$
21679
Solving $x^3-y^3=xy+61$ in integers
20834
Integer solutions to $c=a^2-b^2$
70662
How many non-negative integer solutions does the equation $3x + y + z = 24$ have?
155363
Find all integers $(x, y)$ such that $1 + 2^x + 2^{2x + 1} = y^2$