
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
Suppose that \(A\) and \(B\) are digits such that:

\[ \begin{array}{r}
AAA \\
AAB \\
ABB \\
+\ BBB \\
\hline
1503 \\
\end{array} \]

What is the value of \(A^3 + B^2\)?

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