
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 any two positive real numbers $x$ and $y$, the operation $x \, \star \, y$ is defined by $x \, \star \, y = xy + c$, where $c = 3$. Suppose $x \, \star \, y$ satisfies the equation $(x \star 1) \star x = x \star (1 \star x)$ for all $x, y > 0$. If $1 \star 1 = 4$, find the value of $37 \star 25$.

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