Using Only Five 5's and any mathematical operator make sum as 37

Find the next number in the sequence

1, 2, 6, 21, 88, __?

The first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?

Fate has decided that you will only be pleased to meet me when you need me

Maybe that is why, when I am working, I start working

However annoying I may be to the regulars, the little ones are always inspired

I will always be waiting if you try to reach me

How many of you can guess my name, let me see

There are five vowels (a, e, i, o, u) in the English language.
Can you tell us a word that contains all these vowels?

If,

6 / 7 = 2
3 / 9 = 7
8 / 2 = 6

Then

4 / 5 = ?

Different lights make me strange by changing me into different sizes. What am I?

A journalist was investigating a sacred cult in the jungles of Africa when he was caught by one of the person. He was confined in a cave till the leader arrived. The leader told him that he need to tell him a statement. If he thinks the statement is true, then the journalist head will be chopped off. If he thinks that the statement is false, his head will be smashed with a hammer.

What statement did the journalist make to survive?

Can you find out the number that should replace the question mark with a valid reason?

Use only one mathematical symbol and all numbers (0-9) to get a sum of 99