how many solutions in natural numbers are there to the inequality $x_1 + x_2 +....+ x_{10} \leq 70$?
55562
Number of total possibilities for an equation
18477
$(W_1+W_2+\cdots+W_n)^a \leq W_1^a +\cdots + W_n^a$ for $n$ integer, $n\geq 2$, $W\gt 0$ and $a$ constant, real, $0\lt a\lt 1$
15314
Number of solutions to $x^n \equiv 1 \mod p$
144025
Number of Solutions in this Number Puzzle
77533
What solutions does the equation 4x≡2mod10 have? (Hint, it will have more that one.) What about solutions to an equation ax≡dmodn, where d=gcd(a,n)?
66387
Prove $(x_1+.....+x_n)^2 \leq n(x_1^2 + .....+x_n^2)$
95409
Find no. of non negative integer solutions of $a+2b+3c = 200$
114379
Show that number of solutions satisfying $x^5=e$ is a multiple of 4?
77024
Find the number of solutions of $x^2=x\mod m$ for any integer $m$
146491
Number of solutions of $x_1+x_2+\dots+x_k=n$ with $x_i\le r$
10753
Natural number solutions to $\frac{xy}{x+y}=n$ (equivalent to $\frac 1x+\frac 1y=\frac 1n$)
103832
Number of solutions of $x_1 + x_2 + x_3 + x_4 = 14$ such that $x_i \le 6$
114996
$x+y+z=n$. Finding the number of solutions.
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.
85540
Prove or Disprove the Existence of Solutions...
98002
Let $x$ be a positive real number. Inequality problem with $\pi$ and $x$ terms.
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions