I see the math problems from the image you've uploaded. I’ll break them into smaller parts and solve them systematically.

Bài 11: Calculate the value of the expressions

a) $(-32) \cdot 5$ ÷ 16

1. Simplify inside brackets:
   $(-32) \cdot 5 = -160$.
2. Divide by 16:
   $-160 \div 16 = -10$.

Answer: -10

b) $(-45) \cdot 27$ ÷ $15 \cdot (-9)$

1. Simplify inside the first brackets:
   $(-45) \cdot 27 = -1215$.
2. Simplify inside the second brackets:
   $15 \cdot (-9) = -135$.
3. Divide:
   $-1215 \div -135 = 9$.

Answer: 9

c) $(-45) \cdot (-250) \cdot 7 \cdot (-4) \div (-1000)$

1. Multiply step-by-step:
   $(-45) \cdot (-250) = 11250$,
   $11250 \cdot 7 = 78750$,
   $78750 \cdot (-4) = -315000$.
2. Divide by $-1000$:
   $-315000 \div -1000 = 315$.

Answer: 315

d) $(-250) \cdot 64 \cdot (-100)^0 \cdot (-3)$

1. Recall that $(-100)^0 = 1$.
   So, the expression simplifies to:
   $(-250) \cdot 64 \cdot 1 \cdot (-3)$.
2. Multiply step-by-step:
   $(-250) \cdot 64 = -16000$,
   $-16000 \cdot (-3) = 48000$.

Answer: 48000

Bài 12: Find the integer $x$

a) $25 + 5x = -75$

1. Subtract 25 from both sides:
   $5x = -75 - 25$,
   $5x = -100$.
2. Divide by 5:
   $x = -20$.

Answer: $x = -20$

b) $14 - (6 - 2x) = 54$

1. Expand and simplify:
   $14 - 6 + 2x = 54$,
   $8 + 2x = 54$.
2. Subtract 8:
   $2x = 54 - 8$,
   $2x = 46$.
3. Divide by 2:
   $x = 23$.

Answer: $x = 23$

c) $x^2 - 36 = 0$

1. Add 36 to both sides:
   $x^2 = 36$.
2. Solve for $x$:
   $x = \pm6$.

Answer: $x = \pm6$

d) $(x - 3)^2 + (-17) = 32$

1. Add 17 to both sides:
   $(x - 3)^2 = 32 + 17$,
   $(x - 3)^2 = 49$.
2. Solve for $x - 3$:
   $x - 3 = \pm7$.
3. Solve for $x$:
   $x = 3 + 7 = 10$ or $x = 3 - 7 = -4$.

Answer: $x = 10$ or $x = -4$

Let me know if you'd like detailed step-by-step explanations for any specific part!

Related Questions

1. What are the properties of operations with negative numbers?
2. How does exponentiation affect calculations involving negatives?
3. Can you explain solving quadratic equations in more depth?
4. Why do we use parentheses for operations?
5. What are common mistakes when solving linear equations?

Tip: Always follow the order of operations: brackets, exponents, multiplication/division, addition/subtraction (BODMAS/PEMDAS).