Let $a, b$ integers such that $ab+2a+3b=93$. Find all solutions integers.
2027
How can I solve the folowing Diophantine equation with two unknowns?
7622
$AB-BA=I$ having no solutions
21006
Let $a,b$ be positive integers such that $a\mid b^2 , b^2\mid a^3 , a^3\mid b^4 \ldots$ so on , then $a=b$?
48404
If $a$ and $b$ are integers such that $9$ divides $a^2 + ab + b^2$ then $3$ divides both $a$ and $b$.
146169
Integer solutions to $\frac{1}{a} + \frac{1}{b} = \frac{1}{12}$.
91105
For every $n\ge3$ there exists $n$ different integers $a_1,...,a_n$ so that $\frac{1}{a_1}+\frac{1}{a_2}+...+\frac{1}{a_n}=1$
45090
Given any positive real numbers $a,b,c$, we have $(a^{2}+2)(b^{2}+2)(c^{2}+2)\geq 9(ab+bc+ca)$
57129
How to find an integer solution for general Diophantine equation $ax + by + cz + dt... = N$
47737
Find all the possible values of $(a,b,c,d)$.
157746
Finding all positive integer solutions to $(x!)(y!) = x!+y!+z!$
95409
Find no. of non negative integer solutions of $a+2b+3c = 200$
94067
How prove this diophantine equation $x^2+y^2+z^3=n$ always have integer solution
946
How to find solutions of linear Diophantine ax + by = c?
52658
What are the integer solutions to $a^{b^2} = b^a$ with $a, b \ge 2$
32858
If a,b,c,d are positive integers with a sum of 63, what is the maximum value of ab + bc + cd ? (By using calculus to solve it))
80982
Solve $a^3+b^3+3ab=1$ with $(a,b)\in \Bbb{Z}^2$
61210
BMO2 1995 Question 1 - Solve the equation for positive integers (a,b,c)