Find all the solutions of $x^2+7=2^n$.
67968
When is $2^n -7$ a perfect square?
119109
Integer solutions to $ n^2 + 1 = 2 \times 5^m$
117352
Show $x^n+ax+b=0$ has most two solutions
100761
Find all $x$ such that $x^6 = (x+1)^6$.
137015
Solutions for $a^2+b^2+c^2=d^2$
153170
Find the number of solutions of the equation $e^{4x}+e^{3x}-4e^{2x}+e^x+1=0$
103274
Integer solutions to the equation $a^3+b^3+c^3=30$
78638
Find out all solutions of the congruence $x^2 \equiv29 \mod 5$.
89804
Diophantine equation: $7^x=3^y-2$
30331
Steps to solve this system of equations: $\sqrt{x}+y=7$, $\sqrt{y}+x=11$
57330
Find the number of solutions of $\sin x+2 \sin 2x- \sin 3x=3$
22112
Find all integer solutions to $x^2+4=y^3$.
61022
Diophantine Equations : Solving $a^2+ b^2=2c^2$
67015
Solve $x^2 + 8 = 3^n$, where $x\in\mathbb N$.
69328
(USAJMO)Find the integer solutions:$ab^5+3=x^3,a^5b+3=y^3$
75489
Solve $x^2$ $mod$ $23 = 7^2$
88760
Find the integral solutions to $ x^2+y^2+z^2=x^2y^2$