Operators shown here are purely for design experimentation and may not reflect the final system of operators:

## Make me a square!

Keg got 11 bytes on this challenge. 

    P[DD+s}S3

Expands to:

    Shape(Palindromise(Add(Double(Double(input)), Space)), 3)

9 bytes (Ket) vs 11 bytes (Keg) .

## Output Distinct Factor Cubiods

Keg didn't participate in this challenge.

    *R=
    F?f^

Psuedo:

    function f
        reduce the input via multiplication
        return that result equal to the input

    function main
        generate factors of input
        filter list by above flow (f)

## Swap good and bad

Keg got 7 bytes on this challenge (first place incidentally).

    -"....

Note that this uses a reverse token flag. But that's what the keg answer does. 

6 bytes (Ket) vs 7 bytes (Keg). 

## N(e(s(t))) a string

Keg got 12 bytes.

    M\(+\)*!
 
    ININIM
    Add(Map(input, "("), Times(")", length(input)))
    
`--mapoffbyone`
8 bytes (Ket) vs 12 bytes (Keg)

## DDoouubbllee  SSppeeaakk
Keg got 3 bytes.

    i
    
    interleave(input, input)
    
1 byte (Ket) vs 3 bytes (Keg)