
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 school used disinfectant to thoroughly disinfect the campus. The third grade started school first, and during this time, 120 bottles of disinfectant were used. After the first and second grades started school one after another, the average daily usage increased by 4 bottles compared to before. In this case, only half of the original number of days were needed to use up the 120 bottles of disinfectant. Find out how many bottles of disinfectant were originally used on average per day.

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