Let $r$ be a root of $x^2 + 5x + 7 = 0.$  Compute
\[(r - 1)(r + 2)(r + 6)(r + 3).\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $r$ be a root of $x^2 + 5x + 7 = 0.$  Compute
\[(r - 1)(r + 2)(r + 6)(r + 3).\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
13
Let $r$ be a root of $x^2 + 5x + 7 = 0.$  Compute
\[(r - 1)(r + 2)(r + 6)(r + 3).\]
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