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2019 AMC 10A Question 19

AMC10 · 2019 AMC 10A

Question 19

What is the least possible value of $$
\begin{aligned} &(x+1)(x+2)(x+3)(x+4)\\ &\quad+2019, \end{aligned}
$$ where $x$ is a real number?
  1. $2017$
  2. $2018$
  3. $2019$
  4. $2020$
  5. $2021$