
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: For any rational numbers $a$ and $b$, a new operation is defined as follows: $a\odot b=a\left(a+b\right)-1$. For example, $2\odot 5=2\times \left(2+5\right)-1=13$.

(1) Calculate $3\odot \left(-2\right)$.

(2) Calculate $\left(-2\right)\odot \left(3\odot 5\right)$.

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