
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
Call a number prime-looking if it is composite but not divisible by $2, 3, 5,$ or $7$. The three smallest prime-looking numbers are $121, 143$, and $169$. There are $95$ prime numbers less than $500$. How many prime-looking numbers are there less than $500$?
(This posed problem will then offer multiple choices: $(\mathrm {A}) \ 10 \qquad (\mathrm {B}) \ 20 \qquad (\mathrm {C})\ 45 \qquad (\mathrm {D}) \ 60 \qquad (\mathrm {E})\ 65$)
A) 10 
B) 20 
C) 45 
D) 60
E) 65

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