
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 the number of zero points of the function $f(x)=(1+x- \frac {x^{2}}{2}+ \frac {x^{3}}{3}- \frac {x^{4}}{4}- \frac {x^{2018}}{2018}+ \frac {x^{2019}}{2019})cos2x$ in the interval $[-3, 4]$.

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