Solution:

Forgive and Forget

Solution:

On a sailboat (sale boat).

Solution:

128.

There are 62 squares of size 1x1.
There are 41 squares of size 2x2.
There are 18 squares of size 3x3.
There are 6 squares of size 4x4.
There is 1 square of size 5x5.

A total of 62 + 41 + 18 + 6 + 1 = 128.

Solution:

129.

These are the first 10 prime numbers (2, 3, 5...) prefixed with a 1

Solution:

3211000

Solution:

Submarine

Solution:

61

Reversed digits of squares of number in descending order.

Solution:

14

Explanation
If the beggar can make a whole cigarette from 6 butts then he can make 12 cigarettes from the 72 he found. Once he smokes those, he then will have another 12 butts, which gives him enough to make another 2 cigarettes. A total of 14.

Solution:

5795
+ 6435
+ 2505
------
14735

5305
+ 2475
+ 6595
------
14375

Solution:

Empty.

(mpt, emty or mt depending on your interpretation)