1. Simplify: (x²-4)/(x+2) for x≠-2

2. The equation z² + 4z + 13 = 0 has roots a±bi. What is a+b?

3. The sequence a₁=2, aₙ = aₙ₋₁/(2-aₙ₋₁). What is lim aₙ?

4. For f(x)=x^n-1, the number of real roots depends on n. For n=6, real roots are:

5. For p(x) = x⁴ − 10x² + 9, how many distinct real roots?

6. The function f(x)=|x²-9| is not differentiable at:

7. What is the sum ∑(k=0 to n) C(n,k)×2^k?

8. For f(x) = x⁴ − 5x² + 4, the number of real zeros is:

9. The asymptotes of y=(x²+1)/(x-1) are:

10. The equation x^4-5x^2+4=0 factors as:

11. The polynomial with roots 1+i√2 and 1−i√2 and 3 is:

12. The function f(x) = 2^x has y-intercept at:

13. What is i⁰+i¹+i²+i³?

14. For the function f(x) = 3/(x²-4), the vertical asymptotes are at:

15. What is the product of all roots of 3x⁴-5x³+2x²-x+4=0?

16. Simplify: (x³y²)/(xy⁴)

17. What is the coefficient of x⁵ in the expansion of (1+x)¹⁰?

18. Simplify: (2^3 × 2^4) / 2^5

19. If f(x) = 4x - 1 and g(x) = x² + 2, what is (f+g)(x)?

20. What are the solutions of x² - 7x + 12 = 0?

21. Factor completely: 6x²+x-2

22. What is the value of log₂(64)?

23. For f(x) = (x+1)/(x²-x-2), which x gives holes vs asymptotes?

24. If f is an odd function and f(3)=5, what is f(-3)+f(0)?

25. The function f(x)=x⁴-8x²+7 has local minima at:

26. What is ∑(k=0 to n) (-1)^k × C(n,k)?

27. If f(x)=x³-6x²+11x-6, one root is x=1. Factor completely.

28. The function f(x) = ax² + bx + c has vertex at (1,4) and passes through (3,0). What is a?

29. The number of x-intercepts of f(x) = x³ − x² is:

30. A population model: P=P₀e^(0.02t). If P₀=5000, when does P reach 10000?