
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
Simplify the following expressions by first removing the parentheses and then combining like terms:
1. $6a^2 - 2ab - 2(3a^2 - \frac{1}{2}ab)$
2. $-(t^2 - t - 1) + (2t^2 - 3t + 1)$.

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