
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
Given $\alpha = -1910^\circ$.

(1) Express $\alpha$ in the form of $\beta + k \cdot 360^\circ$ ($k \in \mathbb{Z}, 0^\circ \leq \beta < 360^\circ$) and identify which quadrant the angle belongs to;  
(2) Find $\theta$ such that the terminal side of $\theta$ is the same as that of $\alpha$, and $-720^\circ \leq \theta < 0^\circ$.

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