
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
For real numbers $x, y$, define a new operation: $x * y = ax + by + 1$, where $a, b$ are constants. If $3 * 5 = 15$ and $4 * 7 = 28$, then $1 * 1 = \boxed{-11}$.

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