
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
If \( \mathbf{A}^{-1} = \begin{pmatrix} 1 & 4 \\ -2 & -7 \end{pmatrix} \), then find the inverse of \( \mathbf{A}^3 \).

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