
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
A highway is to be constructed. If workers A, B, and C collaborate, the project can be completed in 90 days. If workers A, B, and D collaborate, the project can be completed in 120 days. If workers C and D collaborate, the project can be completed in 180 days. If workers A and B work together for 36 days and then the remaining work is completed by workers A, B, C, and D working together, how many more days will be needed to complete the project?

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