
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
Portia's university has 4 times as many students as Lara's university, and a nearby community college has half as many students as Lara's university. If the total number of students in the three institutions is 4500, find the number of students in Portia's university.

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