PPQ:Puzzle Gameplay
Puyo Puyo!! Quest features a basic puzzle gameplay that is significantly different from the classic Puyo Puyo franchise.
Puzzle Gameplay
Field

An example for a field layout 
The puzzle gameplay happens on the field (フィールド) at the bottom half of the gameplay screen. The field consists of 48 puyos (or special pieces) in 8 columns by 6 rows, plus one Next Puyo (ネクストぷよ) for each column which forecasts the first puyo that drops.
Normal Chaining
For each turn, the player can traceremove (なぞり消す) at most 5 puyos (adjacently or diagonallylinked) from the field, and puyos above the created space will fall. Groups of 4+ adjacentlylinked puyos of the same color will pop and amass attack power for cards of that color. A chain (れんさ／連鎖) is formed when further groups of 4+ samecolor puyos link and pops.
When puyos on the field cannot form groups to pop but there are still open spaces on the field, new puyos will fall from above to fill in the spaces, with the possibility of forming more groups of puyos to pop and continuing the chain. The chain is considered finished when there are no groups to pop and no open spaces on the field.
Large Chain Chance

A example of a Large Chain Chance 
When a chance puyo (チャンスぷよ) is cleared within normal chaining, Large Chain Chance (だいれんさチャンス) will be initiated. A preset chain is presented in a separate field stopped by at most 5 excess puyos, with the number of excess puyos (and the color of the puyos in some certain easier quests) shown above. The size of the preset chain given in the Large Chain Chance S_{c} is given by
S_{c} = 3 + S_{n} + n
where
 S_{n} = chain size of normal chain
 n = number of chance puyos cleared
The player is then given 10 seconds to traceremove the correct excess puyos to initiate the full chain, gaining additional attack power and HP recovery (if All Clear is achieved).
One chance puyo will drop if the player achieves a 6chain (also applies in some active skills) or clears 16+ puyos at the same time (does not apply during active skills). Chance puyos can also be created by active skills.
See PPQ:Large Chain Chance Gallery for a gallery of know Large Chain Chance patterns and respective answers.
HP Recovery
Players can recover lost HP of all cards by clearing heart boxes (ハートBOX), which is done by popping puyos adjacent to it. Heart boxes may be traceremoved but in that case it will not recover any HP.
Players can also recover lost HP when achieving an All Clear (全消し), no matter in normal chaining, Large Chain Chance or skill activation.
Heart boxes may drop among cascading puyos from time to time as the player chains (except under certain stage effects that specify otherwise).
Prism Balls
Certain skills can create prism balls (プリズムボール) on the field. Popping puyos adjacent to a prism ball amasses attack power for all colors at 3× Attack. Attack power from prism balls does not enjoy chaining or sametime clear bonuses.
Garbage and Hard Puyos
Certain enemy skills can create garbage puyos (おじゃまぷよ) and hard puyos (かたぷよ) on the field. Garbage and hard puyos cannot be traceremoved. Garbage puyos can only be removed by popping other puyos adjacent to them, and hard puyos will turn into garbage puyos when other puyos are popped adjacent to them. Unlike in classical Puyo Puyo rules, hard puyos cannot be completely removed by popping adjacent puyos on multiple sides.
Chaining Power
Attack Chaining Power
The attack power A of a certain card from each step of chain is given by
where
 A_{0} = Basic attack power of that card, inclusive of bonuses from Leader Skills and Active Skills, Combination Bonus, Tower Bonus, etc.
 n = number of Puyos cleared
 p = number of Prism Balls cleared
 C = Chaining Multiplier
 S = Sametime Coefficient
 g = Group Separation Bonus
Chaining Multiplier
Puyos popped in a higher step of a chain produces a higher attack power. Note that chain steps in the normal chain and Large Chain Chance chain are counted separately.
Chain Step  1  2  3  4  5  6  7  8  9  10 

Chaining Multiplier (C)  0.0  0.4  0.7  1.0  1.2  1.4  1.6  1.8  2.0  2.2 
Equivalent Factor (1+C)  1.0×  1.4×  1.7×  2.0×  2.2×  2.4×  2.6×  2.8×  3.0×  3.2× 
Deck  Attack Power  Field 

A_{0} = 1000  1000 × 1.0 = 1000 

A_{0} = 1000  1000 × 1.4 = 1400  
A_{0} = 1000  1000 × 1.7 = 1700 
Sametime Coefficient
For every additional Puyo popped at the same time over 4 Puyos, the attack power increases with a coefficient S = 0.15. Unlike in original Puyo Puyo, Puyos popped in previous steps of the chain do not contribute to the power of later steps.
Certain skills feature increased Sametime Coefficient during its activation including Fairy Tale Series. Puyotransforming skills like Original Puyo Puyo Series also has 2× Sametime Coefficient during Puyo clears immediately following the transformation.
Deck  Attack Power  Field 

A_{0} = 1000  1000 × (1 + 8×0.15) = 1000 × 2.2 = 2200 

A_{0} = 1000  1000 × (1 + 8×0.15) = 1000 × 2.2 = 2200  
A_{0} = 1000  1000 × (1 + 8×0.15) = 1000 × 2.2 = 2200 
Group Separation Bonus
When multiple, separate groups of the same color Puyos pop at the same time, in addition to increments from Sametime Coefficient, the attack power also multiplies by a Group Separation Bonus factor g equal to the number of separate, samecolor groups.
Fields  A_{0} = 1000 


1000 × (1 + 8×0.15) = 1000 × 2.2 = 2200 

1000 × (1 + 8×0.15) × 3 = 1000 × 2.2 × 3 = 6600 
Recovery Chaining Power
The recovery amount R for each card from a whole chain is given by
where
 R_{0} = Total basic recovery power of all cards at the front, inclusive of bonuses from Leader Skills and Active Skills, Combination Bonus, Tower Bonus, etc.
 m = number of cards at the front
 n = number of Heart Boxes cleared
 c = size of chain, total of both the normal chain and the Large Chain Chance chain
 k = number of All Clears
Gallery of Field Pieces
For other usable Puyo Designs in Puyo Puyo!! Quest, see PPQ:Puyo Design.