no of non negative solutions of equation a+b+c+...n variables=N where a<=b<=c<=d<=....
60007
Partitions with at most k parts, each of at most l
108885
Systems of equations with a single number
146126
Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$
106896
Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?
32771
The equation $X^{n} + Y^{n} = Z^{n}$ , where $ n \geq 3$ is a natural number, has no solutions at all where $X,Y,Z$ are intergers.
117352
Show $x^n+ax+b=0$ has most two solutions
142900
Find all positive integers a,b,c to the equation a!b!= a!+b!+c!
108869
Solve the following equations for $x, (x ∈ N^+) (a)\ 2φ(x) = x; (b)\ 3φ(x) = x; (c)\ 4φ(x) = x.$
95669
Solutions of $|z| = z^5$ in $\Bbb{C}$?
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.
30412
How many solutions does the equation $x_1 + x_2 + x_3 = 14$ have, where $x_1$ , $x_2$ , $x_3$ are non-negative integers.
57129
How to find an integer solution for general Diophantine equation $ax + by + cz + dt... = N$
61210
BMO2 1995 Question 1 - Solve the equation for positive integers (a,b,c)
13420
$10$ Equations in $10$ variables
94831
Finding value of $a +b+c$
29078
find all the values of a and b so that the system has a) no solution b) 1 solution c) exactly 3 solutions and 4) infinitely many solutions
107448
proving that there is no solution for $n$ in positive integers except $n = 1$ for $2^n = nk + 1$