
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 \( a, b, c, d, e \) be nonnegative integers such that \( 625a + 250b + 100c + 40d + 16e = 15^3 \). What is the maximum possible value of \( a + b + c + d + e \)?

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