Let's break down and simplify each expression step by step.

### Expression A: \((-4) \cdot 25 \cdot (-25) \cdot (-5) \cdot (-4)\)

1. **Multiply \((-4) \cdot 25\):**
\[
(-4) \cdot 25 = -100
\]

2. **Multiply the result by \((-25)\):**
\[
-100 \cdot (-25) = 2500
\]

3. **Multiply the result by \((-5)\):**
\[
2500 \cdot (-5) = -12500
\]

4. **Multiply the result by \((-4)\):**
\[
-12500 \cdot (-4) = 50000
\]

So, the simplified result of expression A is:
\[
50000
\]

### Expression B: \((-17) \cdot (1 - 382) - 382 \cdot 17\)

1. **Simplify the expression inside the parentheses:**
\[
1 - 382 = -381
\]

2. **Multiply \((-17) \cdot (-381)\):**
\[
(-17) \cdot (-381) = 6477
\]

3. **Multiply \( -382 \cdot 17 \):**
\[
-382 \cdot 17 = -6494
\]

4. **Subtract the second product from the first product:**
\[
6477 - 6494 = -17
\]

So, the simplified result of expression B is:
\[
-17
\]

### Summary:
- Expression A simplifies to \(50000\).
- Expression B simplifies to \(-17\).