
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. $(-2)^{2} - (7-\pi)^{0} - \left(\frac{1}{3}\right)^{-1}$;
2. $2m^{3} \cdot 3m - (2m^{2})^{2} + \frac{m^{6}}{m^{2}}$;
3. $(a+1)^{2} + (a+1)(a-2)$;
4. $(x+y-1)(x-y-1)$.

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