
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
If \( p \) is a positive integer, then \( \frac{5p + 45}{3p - 8} \) can be a positive integer if and only if \( p \) is:
A) At least 3
B) At least 3 and no more than 30
C) No more than 30
D) Equal to 3
E) Equal to 3 or 30

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