Problem

2023 AMC 10B Problem 14

How many ordered pairs of integers $(m, n)$ satisfy the equation \[m^ $2$ + mn + n^ $2$ = m^ $2$ n^ $2$ ?\]

$\textbf{(A)}$ $7$ \qquad $\textbf{(B)}$ $1$ \qquad $\textbf{(C)}$ $3$ \qquad $\textbf{(D)}$ $6$ \qquad $\textbf{(E)}$ $5$

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

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Difficulty —

Category: AMC 10B
Points: 3
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