
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
Let's consider a new problem where $A$, $B$, $C$, and $D$ are distinct digits in the addition operation shown below:
\[\begin{tabular}{cccccc}
& A & A & C & B \\
+ & B & C & B & D \\
\hline
& B & D & A & B \\
\end{tabular}\]
How many different values are possible for the digit $D$?
**A)** 0\
**B)** 1\
**C)** 2\
**D)** 3\
**E)** 4

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