Are there integer solutions for $x$ in the equation $n^2+9n-2=(n+11)x$ for $0\le n\le 11$?
5981
For which values of $a$ does $a-2 \mid a^3+4$
157186
Finding integers satisfying $m^2 - n^2 = 1111$
24322
Prove that the equation $18x+42y=22$ has no integer solution?
59196
Find all real solutions for $x$ in $ 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 . $
1001
Number of integer solutions of $x^2 + y^2 = k$
148906
Finding integers $m,n$ such that $(m-n)^2=4mn/(m+n-1)$
80843
Find all solutions to $x^9 \equiv 25 \pmod {29}$
107448
proving that there is no solution for $n$ in positive integers except $n = 1$ for $2^n = nk + 1$
98408
Show that $x^2+y^2+z^2=999$ has no integer solutions
136933
Which $n$ can be expressed as $x^2 − y^2$?
112575
Finding integer solutions of $m^2-n^5 = m - n$
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
146126
Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$
144863
Finding integer solutions to $y^2=x^3-2$
8446
Number of solutions over positive integers of $x_1 + x_2 + ... + x_n = S$ for $x_i \in [0, 25]$
131141
Solutions to $p+1=2n^2$ and $p^2+1=2m^2$ in Natural numbers.
66161
How to solve the equation $n^2 \equiv 0 \pmod{584}$?