
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
The density $\rho$ of a body is defined as the ratio of its mass $m$ to its volume $V$. The unit of mass used in jewelry is a carat (1 carat is equal to 0.2 grams). The unit of length used in many countries is an inch (1 inch is equal to 2.54 centimeters). It is known that the density of diamond is $\rho = 3.5 \text{ g/cm}^3$. Convert this value to carats per cubic inch.

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