Determine the number of nonnegative integer solutions of the equation $x+y+z+t=98$.
33314
How many non-negative integer solutions does $x_1+x_2+\cdots+x_n=A$ have?
1001
Number of integer solutions of $x^2 + y^2 = k$
8446
Number of solutions over positive integers of $x_1 + x_2 + ... + x_n = S$ for $x_i \in [0, 25]$
95409
Find no. of non negative integer solutions of $a+2b+3c = 200$
151732
Number of solutions of polynomials in a field
29876
Find the number of triples $(x,y,z)$ of real numbers satisfying the equation $x^4+y^4+z^4+1=4xyz$
77595
Number of solutions of $x_1 + 2x_2 + 3x_3 + \cdots + n x_n = p$
72857
Find the number of integral solutions of $2x + y + z = 20$?
144025
Number of Solutions in this Number Puzzle
99264
the number of positive-integer solutions that satisfy $x_1\cdot x_2\cdot x_3\cdot x_4=1,000,000$?
62036
Finding the number of non-negative integral solutions of $x + y + z = 10$
103832
Number of solutions of $x_1 + x_2 + x_3 + x_4 = 14$ such that $x_i \le 6$
87345
How many ways so that $x+y+z\leq n$?
106896
Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?
38541
How many solutions are there to $x_1 + x_2 + ... + x_5 = 21$?
137652
How many solutions does the equation $n_1 + n_2 + n_3 + n_4 + n_5 = 20$ have in the positive integers if $n_1 < n_2 < n_3 < n_4 < n_5$?
98408
Show that $x^2+y^2+z^2=999$ has no integer solutions