
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
Find the smallest nonprime integer \( n \) greater than $1$ with no prime factor less than $20$. What is the range of \( n \)?
A) $500 < n \leq 520$
B) $520 < n \leq 540$
C) $500 < n \leq 530$
D) $520 < n \leq 550$
E) $530 < n \leq 550$

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