
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
Al, Betty, and Clare split $\$1200$ among them to be invested in different projects. Each begins with a different amount. At the end of one year, they have a total of $\$1800$. Betty's and Clare's money triples, whereas Al loses $\$150$. Further, Clare starts with twice the amount of money that Betty starts with. Determine Al's original portion.

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