How many pairs of integers satisfy a cubic diophantine equation?
114954
Solve the equation $x^3 + 117y^3 = 5$ over the integers.
137652
How many solutions does the equation $n_1 + n_2 + n_3 + n_4 + n_5 = 20$ have in the positive integers if $n_1 < n_2 < n_3 < n_4 < n_5$?
39993
Count the number of positive solutions for a linear diophantine equation
105347
How many nonnegative integer solutions are there to the pair of equations $x_1+x_2+…+x_6=20$ and $x_1+x_2+x_3=7$?
1001
Number of integer solutions of $x^2 + y^2 = k$
59091
A quartic diophantine equation
156468
Solutions to $a+b+c=12$, $a, b, c \in \mathbb{N}_0$
26081
What will be total number of solutions of $a+b+c = n$?
103274
Integer solutions to the equation $a^3+b^3+c^3=30$
53503
Solving the diophantine equation $y^{2}=x^{3}-2$
94575
Inductive proof that there are infinitely many pairs of consecutive powerful integers?
71756
diophantine equation: $x^2 +y^2 = z^n$
33469
Diophantine equation $ax + by = c$ has an integer solution $x_0, y_0$ if and only if $\gcd(a,b)|c$
79925
Infinitely many values of $x$ that satisfy the equations
135011
Number of pairs $(A,B)$ with $\gcd(A,B)=B, A \ne B^2$ with $A,B \le n$
133863
All pairs (x,y) that satisfy the equation $xy+(x^3+y^3)/3=2007$
149841
Find the number of integer pairs 0 ≤ a, b ≤ 100 such that a^20 ≡ b^50 (mod 101). Need help with understanding solution