
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
Solve the following equations:
a) \(2 + \frac{5}{4x} - \frac{15}{4x(8x+3)} = \frac{2(7x+1)}{7x-3}\),

b) \(\frac{2}{x} + \frac{1}{x^{2}} - \frac{7 + 10x}{x^{2}(x^{2}+7)} = \frac{2}{x + \frac{3}{x + \frac{4}{x}}}\).

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