How can you make number one disappear by adding something to it?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

A thief is convicted in Mexico. He gets the death penalty. The judge allows him to say the last sentence to determine how the penalty will be carried out. If the thief lies, he will be hanged, if he speaks the truth he will be beheaded. The thief tells the last sentence and to everybody's surprise some minutes later he is set free because the judge cannot determine his penalty. What did the thief say?

Which flower has two lips?

If you drop me I’m sure to crack, but give me a smile and I’ll always smile back. What am I?

You need to arrange three 7 and mathematical symbols to form number 1?

There's a day, that comes around once a year.
To celebrate the man, you hold dear.
He gave you life, love and will pick you up if you fall.
When it comes to guys like him, He's the best of all.
Who is he?

What's the next in the series?

H, Be, F, S, Mn, Kr, In, Gd, Tl, ?

Can you replace the X (both small and big x) with the numbers between 1 to 19 such that all the rows of 3 numbers between X (big x) sum to 23?

There’s a girl who has a large family. She has an equal amount of brothers and sisters, but each brother only has half as many brothers and sisters. What’s the correct amount of brothers and sisters?