1. **State the problem:** Evaluate the expression $$-5^2 - \left[1 - \frac{12}{(-2)^2}\right] + (-1)^3$$.
2. **Recall order of operations:** Exponents first, then multiplication/division, then addition/subtraction.
3. **Calculate each part:**
- Calculate $-5^2$: Note that exponent applies to 5 only, so $5^2=25$, then apply the negative sign: $-5^2 = -25$.
- Calculate $(-2)^2$: $(-2)^2 = 4$.
- Calculate $\frac{12}{4} = 3$.
4. **Simplify inside the brackets:**
$$1 - 3 = -2$$
5. **Calculate $(-1)^3$:**
$$(-1)^3 = -1$$
6. **Substitute back:**
$$-25 - [-2] + (-1)$$
7. **Simplify the expression:**
$$-25 + 2 - 1$$
8. **Final calculation:**
$$-25 + 2 - 1 = -24$$
**Answer:** $-24$ which corresponds to option C.
Evaluate Expression 6299F5
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