Find the smallest integer value of $n$ such that $n^2-5n-14$ is negative.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the smallest integer value of $n$ such that $n^2-5n-14$ is negative.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-1
Find the smallest integer value of $n$ such that $n^2-5n-14$ is negative.
train