
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
Consider a rectangular box where the volume is equal to the surface area and the box's dimensions are $a \times b \times c$, where $a$, $b$, and $c$ are integers with $a \geq b \geq c \geq 1$. Determine the number of ordered triples $(a, b, c)$ that satisfy these conditions.
**A)** 1
**B)** 2
**C)** 3
**D)** 4
**E)** 5

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