Find all values of $x$ which satisfy
\[\sin (4 \arctan x) = \frac{24}{25}.\]Enter all the solutions, separated by commas.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all values of $x$ which satisfy
\[\sin (4 \arctan x) = \frac{24}{25}.\]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
-3, -2, \frac{1}{3}, \frac{1}{2}
Find all values of $x$ which satisfy
\[\sin (4 \arctan x) = \frac{24}{25}.\]Enter all the solutions, separated by commas.
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