Solve 5,000 - 4,075.

$$5,000 - 4,075 = 925$$

The answer is $\boxed{\text{925}}$.

$$5 - 7 = -2$$

The answer is $\boxed{\text{-2}}$.

First, find the cube root of 8.

$$\sqrt[3]{8} = 2$$

Then, subtract 2.

$$2 - 2 = 0$$

The answer is $\boxed{\text{0}}$.

$$-7 + 10 = 3$$

The answer is $\boxed{\text{3}}$.

Subtracting a negative number is the same as adding its positive counterpart.

$$8 - (-9) = 8 + 9 = 17$$

The answer is $\boxed{\text{17}}$.

$$12 \times 13 = 156$$

The answer is $\boxed{\text{156}}$.

$$(-2)^3 = (-2) \times (-2) \times (-2)$$ $$(-2) \times (-2) = 4$$ $$4 \times (-2) = -8$$

The answer is $\boxed{\text{-8}}$.

Multiply the numerators and the denominators.

$$\frac{1}{3} \times \frac{9}{2} = \frac{1 \times 9}{3 \times 2} = \frac{9}{6}$$

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 3.

$$\frac{9}{6} = \frac{9 \div 3}{6 \div 3} = \frac{3}{2}$$

The answer is $\boxed{\frac{3}{2}}$.

$$654 + 246 = 900$$

The answer is $\boxed{\text{900}}$.

$$4^3 = 4 \times 4 \times 4$$ $$4 \times 4 = 16$$ $$16 \times 4 = 64$$

The answer is $\boxed{\text{64}}$.