Find the remainder when $x^9 - x^6 + x^3 - 1$ is divided by $x^2 + x + 1.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the remainder when $x^9 - x^6 + x^3 - 1$ is divided by $x^2 + x + 1.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
0
Find the remainder when $x^9 - x^6 + x^3 - 1$ is divided by $x^2 + x + 1.$
train