If the sum of three real numbers is $0$ and their product is $17$, then what is the sum of their cubes?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If the sum of three real numbers is $0$ and their product is $17$, then what is the sum of their cubes?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
51
If the sum of three real numbers is $0$ and their product is $17$, then what is the sum of their cubes?
train