
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
Al and Barb begin their new jobs on the same day. Al's schedule includes working for 4 days followed by 2 rest-days. Barb works for 5 days followed by 1 rest-day. They plan to attend a special seminar together which happens every 15 days. On how many of their first 500 days do both have rest-days on the same day when there is no seminar?
A) 48
B) 32
C) 64
D) 16
E) 20

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