
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 sets of real numbers \( A, B \), define \( A \otimes B = \{ x \mid x = ab + a + b, \, a \in A, b \in B \} \). Let \( A = \{0, 2, 4, \cdots, 18\} \) and \( B = \{98, 99, 100\} \). Find the sum of all elements in \( A \otimes B \).

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