
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
Tom, Uma, and Vicky share $\$2000$ among them to invest in different projects. Each begins with a different amount. After one year, they have a total of $\$3500$. Uma and Vicky both tripled their money, while Tom has lost $\$200$. What was Tom's original portion?

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