Using the mod function to marks school work

Questions
1

I am quite new to computational layre in Desmos, and haven’t got any experience coding, but thrust into online maths teaching in this lockdown in the UK.

I am trying to create a question that self marks,which is “write three multiples of 12 and 18” such that students will get a comment saying well done for three correct and unique multiples.

I tried doing something like this but can’t seem to get it to work:
check1=numericValue(input2a.latex)
check2=numericValue(input2b.latex)
check3=numericValue(input2c.latex)

check1t= ("\mod(check1, 12 ) =0 , Mod(check1, 18) =0")
check2t= ("\mod(check2, 12 ) =0 , Mod(check2, 18) =0")
check3t= ("\mod(check3, 12 ) =0 , Mod(check3, 18) =0")

isCorrect = check1t and check2t and check3t and not(check1t=check2t) and not(check1t=check3t) and not(check2t=check3t)
correct: isCorrect
otherwise “Find three numbers that are multiples of 12 and 18.”

Could anyone give me a bit of help. Probably something very basic, but I’m finding this pretty tough

2

Computations in CL need to use numericValue or simpleFunction( ).evaluateAt( ). The latter apparently more consistent if decimals are involved. I’d do this, using LCM=36 instead of two separate mods:

check1 = numericValue(`\mod(${input2a.latex},36)`)=0
check2= numericValue(`\mod(${input2b.latex},36)`)=0 
        and not(input2a.numericValue=input2b.numericValue)
check3= numericValue(`\mod(${input2c.latex},36)`)=0 
        and not(input2a.numericValue=input2c.numericValue)
        and not(input2b.numericValue=input2c.numericValue)
isCorrect=check1 and check2 and check3
correct: isCorrect

For the dashboard to mark correct, this needs to be in one of the inputs. And, the other two inputs need to have “readOnly: true” in their CL.

For feedback in a note, you can refer to “isCorrect” like this (assuming you put the above code in input2a:

content: when input2a.script.isCorrect "Good Job"
otherwise "Find three numbers that are multiples of 12 and 18."
3

I had a slightly different idea than Daniel_Grubbs, but it will do the job, too. I added a couple of variables so that this could be duplicated and changed a little more quickly for a different pair of numbers.

https://teacher.desmos.com/activitybuilder/custom/601d6ef73ac5950d5da18af0