
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
Determine which of the following functions are odd functions: (1) $y = -|f(x)|$; (2) $y = x f(x^2)$; (3) $y = -f(-x)$; (4) $y = f(x) - f(-x)$. Provide the correct answer numbers.

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