
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
Identify the correct conclusions from the following four statements:

1. The converse of "If $am^2 < bm^2$, then $a < b$" is true.
2. If $f(x)$ is an extremum of $f(x)$, then $f'(x) = 0$.
3. The function $f(x) = x - \sin{x}$ (where $x \in \mathbb{R}$) has three zeros.
4. For any real number $x$, if $f(-x) = -f(x)$, $g(-x) = g(x)$, and when $x > 0$, $f'(x) > 0$, $g'(x) > 0$, then when $x < 0$, $f'(x) > g'(x)$.

Indicate the number of the correct conclusions.

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