
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
Calculate:
1. $-2^2 + 3^0 - \left(-\frac{1}{2}\right)^{-1}$
2. $(x+2)(x-1) - 3x(x+1)$
3. $2a^6 - a^2 \cdot a^4 + \left(2a^4\right)^2 \div a^4$

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