
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
Of the following complex numbers $z$, which one has the property that $z^5$ has the greatest real part?
- $z = -3$
- $z = -2 + \frac{1}{2}i$
- $z = -\frac{3}{2} + \frac{3}{2}i$
- $z = -1 + 2i$
- $z = 3i$
A) $-243$
B) $-12.3125$
C) $-168.75$
D) $39$
E) $0$

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