
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 the following expression:
$$ (-2a)^6(-3a^3) + \left[2a\right]^2 \cdot 3 \ / \ _ \ _ \ _ \ / \_ $$
$$ \left( -2232(xy)^3 \right) $$
Evaluate:
$$ \left| -\frac{1}{8} \right| + (\pi^3) + \left( -\frac{1}{2} \right)^3 - \left( \frac{1}{3} \right)^2. $$

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