There are two series: the first series is 7, 13, 18, 22, 25 and the second series is 8, 5, -1, -10.

The first series is moving on the pattern of +6, +5, +4 and so on, and the second series is moving on the pattern of -3, -6, -9 and so on.

So, the next term is -10 -12 = -22.

It is observable that this series is a two-tier series, i.e. first of all, there are differences of 5, 12, 19, 26, 33 and 40. After that, the difference among 5, 12, 19, 26, 33 and 40 is +7,

So, the missing term is 44 + 19 + 7 = 70.

The pattern of the given series is +2², +3², +4² and so on.  So, the missing term of the series is 40 + 5² = 65.

The pattern of the given series is +2³, +3³, +4³ and so on.

So, the next term is 176 + 5³ = 301.

This series is moving on the pattern of -8, -8, -8 and so on.

So, the next term is 19 - 8 = 11.

The pattern of the given number series is x1 - 2², x2 - 3², x3 - 4² and so on. 

So, the next term is 83 x 4 - 5² = 307.

The pattern of the given series is 0 x 0 - 0³, 1 x 1 - 1³, 3 x 3 - 3³ and so on.

So, the next term is 5 x 5 - 5³ = -100.

The pattern of the given number series is 9 x 1 + 0¹, 9 x 2 + 1², 19 x 3 + 2³ and so on. 

Therefore, the missing term is 341 x 5 + 4⁵ = 2729.

The pattern of the given number series is +4, +(4 x 3), +(12 x 3), +(36 x 3)  and so on.

So, the missing term is 171 + (108 x 3) = 495.

The patter of the given series is x4/7, x5/8, x6/9 and so on.

Therefore, the next term is (360/1008) * (7/10) = 2520/10080.

The pattern of the given series is x1 + 1², x2 + 2², x3 + 3² and so on.

So, the missing term is 99 x 4 + 4² = 412.

The pattern of the given series is 7 x 7 - 2, 7 x 6 - 4, 7 x 5 - 6, 7 x 4 - 8 and so on.

So, the next term is 7 x 2 - 12 = 2.

The given series is moving on the pattern of x2², x4², x6² and so on. 

So, the next term is 25344 x 8² = 1622016.

The pattern of the series is 2 x 3 - 1 + 0³, 2 x 4 - + 1³, 2 x 5 - 1 + 2³, 2 x 6 - 1 + 3³, and so on.

Therefore, the next term is 2 x 8 - 1+ 5³ = 140.

The pattern of the given series is 144 - 1³ + 2, 145 - 2³ + 2, 139 -3³ + 2 and so on. 

So, the next term of the series is 114 - 4³ + 2 = 52.