
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 cube of silver with a side length of 4 inches weighs 5 pounds and is worth $\$1000$. If a gold cube with the same dimensions has twice the density of silver and is thrice as valuable per pound, what is the gold cube worth?

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