Find the smallest integer $n$ for which the sum of the integers from $-25$ to $n$ (including $-25$ and $n$) is at least $26$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the smallest integer $n$ for which the sum of the integers from $-25$ to $n$ (including $-25$ and $n$) is at least $26$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
26
Find the smallest integer $n$ for which the sum of the integers from $-25$ to $n$ (including $-25$ and $n$) is at least $26$.
train