
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
Let \( p, q, r \) be real numbers such that \( 9p^2 + 4q^2 + 25r^2 = 4 \). Find the maximum value of
\[
5p + 3q + 10r.
\]

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