
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
Given a list of 8 numbers, formed by beginning with two given numbers and each subsequent number being the product of the two previous numbers, find the first number if the last three are 16, 64, and 1024.

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