
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
Determine the least common multiple of the following numbers and expressions:

4199, 4641, 5083.

$$
300 x^{4} + 425 x^{3} + 138 x^{2} - 17 x - 6, \quad 225 x^{4} - 109 x^{2} + 4
$$

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