
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 company needs to hire new employees so that 120 of the new employees will manage software projects, 90 will handle hardware integration, and exactly 40 of these employees will handle both tasks. (These 40 are included in the 120 and 90 mentioned above.) What is the minimum number of employees that the company needs to hire?

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