
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
Compute the following:

1. $(1)(-\frac{1}{9}) - (+ \frac{1}{2})$
2. $(2)(-\frac{5}{8}) \times \frac{3}{14} \times (-\frac{16}{5}) \times (-\frac{7}{6})$
3. $(3)(-0.75) \times (-1.5) \div (-\frac{9}{4})$
4. $28 \times \frac{7}{3} + 0.65 \times \frac{8}{13} - \frac{2}{7} \times 28 + \frac{5}{13} \times 0.65$
5. $(5^2 - 1) \div (-\frac{3}{15}) + 2 \times (-4\frac{1}{3}) + (-5 \times 4) \div (-\frac{3}{15})$
6. $-0.25^3 \div (- \frac{1}{2})^3 + (\frac{1}{8} - \frac{1}{2}) \times (-1)^{100}$
7. $5^2 \times \frac{3}{4} - (-5^2) \times \frac{1}{2} + 5^2 \times \frac{1}{4}$
8. $(-3)^2 - \frac{3}{5} [3 \times (-\frac{2}{3})^2 - 1^4] + 8 [(\frac{1}{2})^2 - (-\frac{1}{2})^3 - 1]$

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