
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
Solve the equation \(\sqrt[3]{x+2} + \sqrt[3]{3x-1} = \sqrt[3]{16x+4}\). In the answer, provide the root if there is only one, or the sum of the roots if there are multiple.

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