
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
The perimeter of a regular hexagon exceeds the perimeter of a rectangle by $2997 \ \text{cm}$. The length of each side of the hexagon is longer than the length of each shorter side of the rectangle by $d \ \text{cm}$. The rectangle has a length which is twice its width and has a perimeter greater than 0. Determine how many positive integers are NOT possible values for $d$.
A) 495
B) 497
C) 499
D) 500
E) 501

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