
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
Five numbers form a decreasing arithmetic progression. The sum of their cubes is zero, and the sum of their fourth powers is 306. Find the smallest of these numbers.

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