
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
The expression

$$
\frac{306 x^{2}-450 x+162}{(8 x-7)(5 x-4)(2 x-1)}
$$

is to be split into the sum of 3 fractions, whose denominators are: $(8 x-7), \quad(5 x-4), \quad(2 x-1)$.

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