Find the solutions to
\[\frac{x(x^2 - 56)}{4 - 7x} - \frac{21x + 22}{x^3 + 2} = 4.\]Enter all the solutions, separated by commas.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the solutions to
\[\frac{x(x^2 - 56)}{4 - 7x} - \frac{21x + 22}{x^3 + 2} = 4.\]Enter all the solutions, separated by commas.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-4, -3, -1, 1, 2, 5
Find the solutions to
\[\frac{x(x^2 - 56)}{4 - 7x} - \frac{21x + 22}{x^3 + 2} = 4.\]Enter all the solutions, separated by commas.
train