query: Diophantine Equation.
positive_passages.docid: 10753
positive_passages.text: Natural number solutions to $\frac{xy}{x+y}=n$ (equivalent to $\frac 1x+\frac 1y=\frac 1n$)
negative_passages.docid: 82931
negative_passages.text: How do I solve a linear Diophantine equation with three unknowns?
negative_passages.docid: 112390
negative_passages.text: Solutions of $x^2 \equiv 1 \pmod N$
negative_passages.docid: 95494
negative_passages.text: Number of solutions of an arithmetic function's equation
negative_passages.docid: 56803
negative_passages.text: Finding solutions to congruence equations
negative_passages.docid: 7085
negative_passages.text: Prove that if the equation $x^{2} \equiv a\pmod{pq}$ has any solutions, then it has four solutions.
negative_passages.docid: 14773
negative_passages.text: Finding distinct solutions for the equation
negative_passages.docid: 96647
negative_passages.text: Number theory: Problem involving rational numbers
negative_passages.docid: 156468
negative_passages.text: Solutions to $a+b+c=12$, $a, b, c \in \mathbb{N}_0$
negative_passages.docid: 71756
negative_passages.text: diophantine equation: $x^2 +y^2 = z^n$
negative_passages.docid: 10635
negative_passages.text: diophantine equations $x^3-2y^3=1$
negative_passages.docid: 82571
negative_passages.text: Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
negative_passages.docid: 106271
negative_passages.text: Solutions of Diophantine equations in Natural numbers
negative_passages.docid: 10548
negative_passages.text: The equation $-1 = x^2 + y^2$ in finite fields
negative_passages.docid: 81267
negative_passages.text: A simple doubt in number theory problem.
negative_passages.docid: 87267
negative_passages.text: Conjecture similar to Fermat's Theorem.
negative_passages.docid: 50772
negative_passages.text: Solving a Linear Diophantine Equation