How many $\frac{1}{8}$'s are there in $37 \frac{1}{2}$?

Seema bought $20$ pens,$8$ packets of wax colours,$6$ calculators,and $7$ pencil boxes. The price of a pen is $Rs. 7$,a packet of wax colour is $Rs. 22$,a calculator is $Rs. 175$,and a pencil box is $Rs. 14$ more than the combined price of one pen and one packet of wax colours. How much amount did Seema pay to the shopkeeper? (in $Rs.$)

If $x^{2}+3x+1=0,$ then the value of $x^{3}+\frac{1}{x^{3}}$ is

$\frac{69842 \times 69842 - 30158 \times 30158}{69842 - 30158} = ?$

If $\left(\frac{x}{y}\right)^{5a-3} = \left(\frac{y}{x}\right)^{17-3a}$,what is the value of $a$?

What is the simplified value of $(x^{128}+1)(x^{64}+1)(x^{32}+1)(x^{16}+1)(x^{8}+1)(x^{4}+1)(x^{2}+1)(x+1)$?