
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 loan amount $c$ is taken at an interest rate of $p \%$ for $n$ years, where the borrower makes equal annual payments of $a$ at the end of each year. Each payment comprises two parts: one part covers the annual interest on the remaining principal, and the other part repays the principal. Calculate the value of $a$ and the total amount paid by the borrower in interest over $n$ years.

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