
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
The following propositions are given:
1. $x=0$ is an extremum point of the function $y=x^3$;
2. A necessary and sufficient condition for the cubic function $f(x)=ax^3+bx^2+cx+d$ to have an extremum point is $b^2-3ac>0$;
3. The odd function $f(x)=mx^3+(m-1)x^2+48(m-2)x+n$ is monotonically decreasing on the interval $(-4,4)$.

Among these propositions, the number of the false proposition is     .

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