
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
On Sarah's $10^{\text{th}}$ birthday, in 2010, her father said, ''My age is now six times your age.'' In what year will Sarah's father be able to say, ''My age is now double your age,'' on Sarah's birthday?

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