Let's solve each part step by step.

### Part c
\[
(-27)^{10} \times 16^{25} / 6^{30} \times (-32)^{15}
\]

First, let's simplify each term:
- \((-27)^{10}\) is a very large negative number raised to an even power, so it becomes positive.
- \(16^{25}\) is a positive number raised to a power, so it remains positive.
- \(6^{30}\) is a positive number raised to a power, so it remains positive.
- \((-32)^{15}\) is a negative number raised to an odd power, so it remains negative.

Now, let's rewrite the expression:
\[
\frac{(-27)^{10} \times 16^{25}}{6^{30} \times (-32)^{15}}
\]

Since \((-27)^{10}\) is positive and \((-32)^{15}\) is negative, the overall sign of the expression will be negative.

### Part d
\[
\frac{1}{2} \times \sqrt{100} - \sqrt{\left(\frac{1}{4}\right)^2} + \left(\frac{2024}{2025}\right)^0
\]

First, simplify each term:
- \(\sqrt{100} = 10\)
- \(\sqrt{\left(\frac{1}{4}\right)^2} = \sqrt{\frac{1}{16}} = \frac{1}{4}\)
- \(\left(\frac{2024}{2025}\right)^0 = 1\) (any non-zero number raised to the power of 0 is 1)

Now, substitute these values back into the expression:
\[
\frac{1}{2} \times 10 - \frac{1}{4} + 1
\]

Calculate each part:
\[
\frac{1}{2} \times 10 = 5
\]
\[
5 - \frac{1}{4} + 1
\]

Convert \(5\) and \(1\) to fractions with a common denominator of 4:
\[
5 = \frac{20}{4}, \quad 1 = \frac{4}{4}
\]

Now, combine the fractions:
\[
\frac{20}{4} - \frac{1}{4} + \frac{4}{4} = \frac{20 - 1 + 4}{4} = \frac{23}{4} = 5.75
\]

### Part e
\[
\sqrt{5^2} + \sqrt{0.4} / \sqrt{1.44} - \sqrt{(0.2)^2}
\]

First, simplify each term:
- \(\sqrt{5^2} = \sqrt{25} = 5\)
- \(\sqrt{0.4}\) remains as \(\sqrt{0.4}\)
- \(\sqrt{1.44} = 1.2\)
- \(\sqrt{(0.2)^2} = \sqrt{0.04} = 0.2\)

Now, substitute these values back into the expression:
\[
5 + \frac{\sqrt{0.4}}{1.2} - 0.2
\]

Calculate the fraction:
\[
\frac{\sqrt{0.4}}{1.2}
\]

Since \(\sqrt{0.4} \approx 0.632\), we get:
\[
\frac{0.632}{1.2} \approx 0.5267
\]

Now, combine all parts:
\[
5 + 0.5267 - 0.2 = 5.3267
\]

So, the final answers are:
- Part c: The expression is negative.
- Part d: \(5.75\)
- Part e: \(5.3267\)