
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
Assume a rectangular box has dimensions \( a \times b \times c \), where \( a \), \( b \), and \( c \) are integers and \( 1 \leq a \leq b \leq c \). Suppose now the volume is twice the surface area of the box. How many ordered triples \( (a, b, c) \) are possible?
A) 0
B) 2
C) 5
D) 10
E) More than 10

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