
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
Given the average weekly homework duration in the first half of last year was $a$ minutes, and the average weekly homework duration after two reforms in the second half of last year and the first half of this year is 70% less than that in the first half of last year, express the equation representing the rate of decrease in the average weekly homework duration in each half-year.

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