
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 piece of platinum, which has a density of $2.15 \cdot 10^{4} \mathrm{kg} / \mathrm{m}^{3}$, is connected to a piece of cork wood (density $2.4 \cdot 10^{2} \mathrm{kg} / \mathrm{m}^{3}$). The density of the combined system is $4.8 \cdot 10^{2} \mathrm{kg} / \mathrm{m}^{3}$. What is the mass of the piece of wood, if the mass of the piece of platinum is $86.94 \mathrm{kg}$?

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