
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
Gerald is visited regularly by his four friends: Anne, Beth, Cara, and Dave. Anne visits every fourth day, Beth visits every sixth day, Cara visits every eighth day, and Dave visits every tenth day. All four friends visited Gerald last night. How many days of the next $240$-day period will exactly two friends visit him?
A) 72
B) 80
C) 86
D) 90
E) 100

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