
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 roots of
\[z^5 = -i\] 
are $\text{cis } \theta_1$, $\text{cis } \theta_2$, $\dots$, $\text{cis } \theta_5$, where $0^\circ \le \theta_k < 360^\circ$ for all $1 \le k \le 5$. Find $\theta_1 + \theta_2 + \dots + \theta_5$.  Give your answer in degrees.

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