
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
For real numbers $x$, consider the function defined by
\[ Q(x) = 1 + e^{ix} - e^{2ix} + e^{3ix} - e^{4ix} \]
where $i = \sqrt{-1}$. Determine the number of values of $x$ in the interval $0 \leq x < 4\pi$ for which 
\[ Q(x) = 0 \]
A) 16
B) 24
C) 32
D) 40

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