PokeMath Solutions

Q1: The dex number of the last Pokemon by dex number that can be obtained in Pokemon GO. 863
Q2: The largest 3-digit number that can be written as the sum of the cube of its digits (for example, 153 = 1^3 + 5^3 + 3^3). 407
Q3: The smallest 3-digit perfect power (square, cube, etc) made up of three consecutive digits in some order. 243
P1: Q1 - Q2 - (Q3 written in reverse) = 114, Tangela

Q1: The episode number of the first episode in the Pokemon anime to feature a shiny Pokemon. 154
Q2: The largest Fibonacci number to be a perfect power (square, cube, etc). 144
Q3: The square of the smallest perfect number. 36
P2: (average of Q1 and Q2) + Q3 = 185, Sudowoodo

Q1: The maximum difference between a Pokemon's Attack stat and the same Pokemon's Special Attack stat. 145
Q2: The sum of all uniform numbers of Trainers that can be battled as a part of an official match of the Galarian Champion Cup. 1924
Q3: The length of the hypotenuse of a right triangle, where the length of the legs are Clefairy's dex number and Butterfree's dex number. 37
P3: Q1 + Q2 / Q3 = 197, Umbreon

Q1: The maximum amount a Pokemon's catch rate has ever changed by between consecutive games. 252
Q2: The dex number of the Pokemon with the smallest unique prime base stat total. 16
Q3: The release year of the first main-series Pokemon games to not include the National Pokedex (after the National Pokedex debuted), divided by 100. 20.16
P4: Q1 * Q2 / Q3 = 200, Misdreavus

The theme was mono-type Pokemon that had a unique typing in their debut generation, so our missing Pokemon is Tornadus.