
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 $\frac{4p + 35}{3p - 8}$ can be a positive integer, if and only if $p$ is:
A) less than 3
B) at least 3 but no more than 145
C) at least 3
D) equal to 3
E) greater than 3

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