
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
1. Evaluate $\sin^2 120^\circ + \cos 180^\circ + \tan 45^\circ - \cos^2 (-330^\circ) + \sin (-210^\circ)$.
2. Simplify: $\frac{\sin^2(\alpha+\pi) \cdot \cos (\pi+\alpha)}{\tan (-\alpha -2\pi) \tan (\pi+\alpha) \cdot \cos^3(-\alpha -\pi)}$.

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