
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
Susie Q has $1000 to invest. She allocates parts of her money to two different banks for three years. She invests a portion at the Silver Lining Bank, which offers a compound interest rate of 4% annually. The rest is invested at the Gold Mine Bank, which offers an annual compound interest rate of 6%. After three years, her total investment grows to $1206.11. How much did she originally invest at Silver Lining Bank?

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