
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 start new jobs on the same day. Al's schedule consists of 4 work-days followed by 2 rest-days, while Barb works 5 days and then rests for 2 days. Determine how many of their first 1200 days do both have rest-days on the same day.
A) 42
B) 48
C) 56
D) 64
E) 70

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