
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
(1) Find the smallest positive period of the function \( f(x)=\sqrt[3]{\sin \frac{3}{2} x}-\sqrt[5]{\cos \frac{2}{3} x} \).

(2) Find the smallest positive period of the function \( f(x)=2 \sin 3 x+3|\sin 4 x| \).

Present the answer in LaTex format: \boxed{Your answer}
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