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2023 AMC 10B Question 14

AMC10 · 2023 AMC 10B

Question 14

How many ordered pairs of integers $(m, n)$ satisfy the equation $$
m^2 + mn + n^2 = m^2 n^2?
$$
  1. $7$
  2. $1$
  3. $3$
  4. $6$
  5. $5$