Find those three words which form a phrase.

Edit: I think there are many interpretations of the last square, so this is some more piece of information:

Open piece of information (so the puzzle wouldn't be too broad)

Indefinite integral is also called antiderivative. The opposite of derivative (here, read it as something derived from something else)

Hint 1:

Middle : the last $g$ letters of a $\ell$-letter word.

Hint 2:

That the integral is indefinite is significant.

Hint 3:

The answer ends in "y" but not in "gry".

  • $\begingroup$ Could you maybe give a hint on the KBK field? Maybe this could help to get on the right track for the other fields from context. $\endgroup$
    – A. P.
    Feb 9 '18 at 13:00
  • 1
    $\begingroup$ @A.P. The first K is on a different side with the B and the second K. The B and the second K is on the same side. $\endgroup$ Feb 9 '18 at 22:11
  • $\begingroup$ @North It's related to the rectangle on the bottom. $\endgroup$ Feb 10 '18 at 23:24
  • $\begingroup$ Both me and North have edited our existing answer with full answer suggestions. You may not get notified if an answer is edited, thus I'm posting this comment to notify you. Please take a look at them. $\endgroup$ Feb 12 '18 at 18:20
  • $\begingroup$ It's "North and I" (the first person singular pronoun is being used as a subject). $\endgroup$ Feb 12 '18 at 18:28

14 Answers 14


=== New answer ===

Third line based on OP's last hint for the last box:



Antiderivative of C => What is C derived from => The C programming language is influenced by the Assembly language

Giving the answer:

Fully automated disassembly

=== Original incorrect answer ===

My guess for the third line (before noticing OP's added hints, which seems to invalidate this answer):



Based on @Steve's answer for the first square, the first part is dis (disc / c).

Considering the C in the integral is a capital C (as per OP), it could be the number 100 in Roman numerals. (Feel free to correct my math here, I pieced it together with Google and Wolfram Alpha) The indefinite integral of a constant is the constant times X (+ another constant, which I'll blatantly ignore for the sake of this answer), giving "100x", which can also be interpreted as a count.

Based on @Matt's answer for the first two lines this would give the final answer:

fully automated discount
(Not sure if that's a thing, but hey, it's discount!)

  • 1
    $\begingroup$ I like this answer. $\endgroup$
    – hexomino
    Feb 13 '18 at 11:33

My guess at a full answer is;

Fully automated disfunction

First line, per existing contributors as "Fully"

Second line;

de is short for Deutchland. A quick search for car in German brings up Auto.


kbk, following the same German train of thought, may relate to a German company that creates couplings. The image might also relate to a coupling. Couplings mate together. This makes the middle word auto + mate + d.

Third line, in part because it just seems to fit...

First part "dis" as stated by earlier contributors.

the second box is a function, giving dis + function

Even if it is wrong, I like the phrase :-)

  • 2
    $\begingroup$ Two lines correct! Closest yet $\endgroup$ Feb 11 '18 at 12:56
  • $\begingroup$ Wow. Crazily ingenious. $\endgroup$ Feb 11 '18 at 16:52
  • $\begingroup$ Wait what's correct? The second or third line? $\endgroup$ Feb 11 '18 at 17:05
  • $\begingroup$ @North Rick van Osta already tried this third line answer to thundering silence, so I think it's safe to assume it's the first two lines that are correct. $\endgroup$
    – Rubio
    Feb 11 '18 at 20:10
  • 2
    $\begingroup$ Bounty awarded for most progress made. $\endgroup$ Feb 13 '18 at 22:26

partial answer Third line
updated answer

first square
Disc/C = Dis
second square
Integrate or integration
together gives: Disintegrate or Disintegration

original answer - disproved by OP comment

first square
CD/C = D
second square
integral of light speed = light distance = light-d
D-light-d = delighted

  • $\begingroup$ Welcome to Puzzling :) That's a really good try, probably what OP intended. $\endgroup$
    – ABcDexter
    Feb 7 '18 at 9:35
  • $\begingroup$ Incorrect, first square not too far, but second quite far away $\endgroup$ Feb 7 '18 at 10:10
  • $\begingroup$ What's the etiquette for revising answers in puzzling given comments on the answer? I have another idea given OP's comment $\endgroup$
    – Steve
    Feb 7 '18 at 11:13
  • 1
    $\begingroup$ Updated, if this isn't it then I'm stumped $\endgroup$
    – Steve
    Feb 7 '18 at 14:45
  • 1
    $\begingroup$ @Steve First square correct, second square still incorrect. $\endgroup$ Feb 8 '18 at 9:57

Partial answer:

The first word is



we take the first two letters from money, the given l and the two-letter abbreviation for lightyear. Lightyear, because lightspeed is usually denoted as $c$. And $c$ times $365$ days is the length that light travels in a year.

Ideas about the last line:
As already pointed out by others

the first three letters are dis.

Furthermore, we have the OP's third hint that

the word ends in y, but not in gry.

So I did

a search through the english dictionary for the RegExp ^dis\w*y$ and found 35 results. Unfortunately none of them rung a bell.

Not being a native speaker this is not surprising, but I'd like to share some ideas that weren't mentioned yet. The $\int C$ could be

read as

  • "integral sea [salt]"
  • "integral sea[t]" (and then substract the t from the final word)
and then associated with one of the words from the dictionary.

  • $\begingroup$ First line almost correct. $\endgroup$ Feb 6 '18 at 22:29
  • $\begingroup$ @user_194421 Can please specify that? Is he close because of the first square or the third? $\endgroup$ Feb 10 '18 at 0:28
  • $\begingroup$ @ibrahimmahrir Second and third square correct. $\endgroup$ Feb 10 '18 at 0:29
  • $\begingroup$ is it perhaps, dolly? $\endgroup$ Feb 11 '18 at 23:27
  • 1
    $\begingroup$ How did you get salt from? $\endgroup$ Feb 12 '18 at 19:08

After reading the comments under @North answer (along with the answer of course), I think the first line is:



The money in the first square is a fund, and the rest is explained in the other answers.


Full answer:

Fully automated display.


The first word is "fully". (credit goes to @A.P.for "lly" and to @North for "u").

The second word is "automated". (full credit goes to @Matt Stevens).

The third word is "display": The indefinite integral is an antiderivative. Antiderivatives are known to have a constant of integration C that you can play with the numbers to change its value and get the antideriviative you want (the weakest explanation ever). Also a google search didn't yield much words that match "full automated dis*y". (credit goes to @Steve for "dis").

  • $\begingroup$ Two lines to go... $\endgroup$ Feb 10 '18 at 22:45
  • 2
    $\begingroup$ Well done!!! Nice job... TEAMWORK +1 @ibrahim mahrir $\endgroup$ Feb 10 '18 at 22:46
  • $\begingroup$ @North Yeah. I got to say, though, you're terrible at finishing rebus. You come so close and then get stuck (speaking about my question too). $\endgroup$ Feb 10 '18 at 22:48
  • 1
    $\begingroup$ So true, so true.... $\endgroup$ Feb 10 '18 at 22:57
  • 1
    $\begingroup$ Hmm, nice answer. Wouldn't have thought of that $\endgroup$ Feb 12 '18 at 18:18

Partial answer of the third line:

First square:

We have a CD.
lightspeed = c
$\frac{cd}{c} = d$

Second square:


$c$ is a the lightspeed, which is a velocity. Velocity is lenght or distance divided by time. Velocity is also the derivative of distance over time.
Since velocity is a derivative, by integrating it (assuming it should be "$\int{c\;dt}$"), we get a constant length or distance.

Which distance exactly?

Depends on time. Getting a hint from the first line, which also references $c$ and references a year, so it could be a lightyear.

Joining the parts:

$d\;ly$ would be the derivative of a lightyear distance. However the derivative of distance is again velocity, and this bring us back to $c$.

  • 2
    $\begingroup$ The $C$ in the last box is a capital $C$ (at least it looks like that to me). So it could stand for capacitance or any constant. $\endgroup$
    – A. P.
    Feb 7 '18 at 6:49
  • 1
    $\begingroup$ @A.P. That is correct, it's a capital C. $\endgroup$ Feb 7 '18 at 10:08
  • $\begingroup$ The answer is not very close $\endgroup$ Feb 7 '18 at 10:09
  • 1
    $\begingroup$ @AhmedAshour The $\int{c}$ is already part of the question, so there is no need to hide it. $\endgroup$ Feb 8 '18 at 12:34
  • $\begingroup$ If the "C" is a constant and the integrel function is indefinite, doesnt that make it redundant? Because an integral function has an arbitrary constant, if C is a constant, then thats just repeating itself. Of course, I don't take calculus and idnt even know hwta the integral sign was until yesterday, so I could be wrong $\endgroup$ Feb 11 '18 at 17:13

Is the final answer


First line solved by ibrahim mahrir inspired by A.P..

Second line solved by Matt Stevens.

Third line:

first part DIS solved by Steve, second part SOLUTION because the indefinite integral of a constant $c$ is a linear function $cx+d$, where $x$ is the variable of integration.

Could be a stretch, but this seemed to be the best fit from among these possibilities:

Google autocomplete for "fully automated dis..."

  • 1
    $\begingroup$ I swear I was going to post the same answer but had no idea how to justify it. I would've never thought of using a screenshot of Google search. Nice one. $\endgroup$ Feb 12 '18 at 1:36
  • $\begingroup$ BTW my answer was inspired by @North's answer not A.P's. $\endgroup$ Feb 12 '18 at 1:37
  • 1
    $\begingroup$ @Ibrahim I saw that, but A.P. was the first person to successfully find LLY, so you were ultimately inspired by A.P. via North :-) $\endgroup$ Feb 12 '18 at 1:39
  • $\begingroup$ @Randal'Thor Still incorrect. I have posted the third hint. $\endgroup$ Feb 12 '18 at 10:40

First line

A.P. is almost correct, but in fact it's

DOLLY: from the first two letters of DOLLAR, then an L, then the initials of Light Year ($c$ is light speed, then 365d is a year).

Second line

No idea yet.

The first square could be something like DECAR? But I don't even know what the image in the second square is meant to be.

Third line

Could it be

DISCO or DISCS? The first square gives DISC without $c$ (lightspeed), as Steve said, and the second square is $\int c$, which (if $c$ is a constant) will be $c$ times the variable of integration.

  • $\begingroup$ Every line.. incorrect answer, the first line is still incorrect. $\endgroup$ Feb 8 '18 at 12:44
  • 2
    $\begingroup$ Well damn :-( $\endgroup$ Feb 8 '18 at 12:45
  • $\begingroup$ Nice try. No idea what KBK right-side-green means. Also, I think that the fact that it is an ancient car instead or a regular present-day car to be relevant. $\endgroup$ Feb 8 '18 at 21:47
  • 1
    $\begingroup$ It might be "$\color{white}{\text{CALLY}}$". $\endgroup$ Feb 9 '18 at 22:29
  • 1
    $\begingroup$ @user_194421 Well damn :-( $\endgroup$ Feb 10 '18 at 16:16

Partial answer

Most elements of this have been given by others already; think of this as summing up the current state of the art.

First line/word:

[something] + L + LY; we don't know whether the "2" means "first two letters" or "two different money-related words" or "word denoting two units of some kind of money" or what. We know (because OP has told us) that it isn't MOLLY or DOLLY.

Second line/word:

I suspect the car in the first box is a Ford Model T, and this word begins DET. Or it could begin DECAR, but if I understand OP's comment on Rand's answer right then it doesn't. Presumably the D at the end is literal. The middle box is a big mystery.

Third line/word:

First box is almost certainly DIS. (I think OP's comment on Steve's answer confirms this.) Second box is a mystery.

So we seem to have

~~~LLY DET~~~D DIS~~~.

Some comments on the start of the first line:

If -LLY is correct, then most likely the first box yields something ending in A. On the face of it, the most likely meaning of that "2" is that we are to take two things-indicating-money; but, while there are e.g. some currencies whose names end in A, none of them seems to give anything useful. (e.g., "...PESETALLY"? Nope.) CENTRALLY is tempting (beginning with CENT) but I don't see any way to justify the RA, nor have I thought of any plausible phrases beginning CENTRALLY DET... .

Some comments on the middle of the second line:

Perhaps the image means that KBK indicates (by being the initials? in some other way?) a name, long word, phrase, etc., that decomposes into a long bit + a short bit + a long bit, and we need the second long bit. [EDITED to add: OP has now posted a hint that confirms my interpretation of the image and indicates that it's a word rather than a phrase.] But so far I've failed to find anything plausible that KBK might mean. And it doesn't seem plausible that what this box yields begins with K ("DETK..."?!!), which you might expect if this is how it works. Most plausible words of the form DET~~~D: detoxed, detuned, detached, detailed, detained, detected, deterred, detested, detoured, dethroned, detonated, detracted, determined, detoxified, deteriorated. None of them very plausible, either in terms of fitting the rebus or in terms of making a familiar-sounding phrase.

Some comments on the end of the third line:

Someone suggested things like DISINTEGRATION for the line as a whole, but I think the "C" in this box has to be significant. If we take it to be a constant then we can get "CT" or "CX" or something, but I don't see that that works. What else is conventionally designated C? Capacitance. (Not a thing that often needs integrating.) Circumference, maybe. (Integral would be the area of some sort of surface made out of circles, like a disc or a sphere. DISA and DISAREA are not words.) All sorts of other even-less-integrable things. It's fairly common to denote the arbitrary constant you get from doing an integral by C, but why you'd be integrating that I'm not sure, and anyway DISCONSTANT is no good and making DISC by starting with DISC, deleting C, and then adding C seems rather unsatisfactory.

  • $\begingroup$ Incorrect answer $\endgroup$ Feb 12 '18 at 10:58
  • $\begingroup$ I don't really know what that means. I didn't give an answer to the whole thing. I suggested lots of partial answers to individual bits. Oh well, never mind. $\endgroup$
    – Gareth McCaughan
    Feb 12 '18 at 11:11
  • $\begingroup$ None of the words you mentioned is a word in the answer. $\endgroup$ Feb 12 '18 at 13:14
  • $\begingroup$ That would seem a reasonable definition of "incorrect" :-). $\endgroup$
    – Gareth McCaughan
    Feb 12 '18 at 13:55


Partial answer:

I think the first line is cally. Take the first two letters of cash, add it to lly, and you get cully. Btw, cally is a sland word for the police

Rejected by OP.

Edit #1:

Another partial answer:

For the second box on the last row, what if C is 100 (since In Roman numerals, C is 100) Or maybe its 300,000 since light speed travels approximately at that speed.

Rejected by OP.

Edit #2:

Final answer:

Fully Automated Discontinuity.


"Fully", "automated" and "dis" are already explained by the other contributors.
"Continuity": correct me if I'm wrong, but an indefinite integral is infinite, or continuous. Also, it starts with a "C", which is what perhaps that "C" in the integral thingy is.

  • $\begingroup$ I too think this is the correct answer (there aren't much words that match OP's criteria and this seem to fit). Already upvoted yesterday. $\endgroup$ Feb 12 '18 at 17:57
  • $\begingroup$ Incorrect. I have edited the question. $\endgroup$ Feb 13 '18 at 11:21

Since good answers haven't gotten us elsewhere, time to try maybe not-so-good answers. So ...

Fully automated discovery

as in

A "protocol which allows fully automated discovery of elementary chemical reaction steps", or an algorithm with "application to the fully automated discovery of patterns in 974 PROSITE families", or these researchers' goal "to develop a well-founded methodology to support an efficient and fully-automated discovery and composition of Web services."

The first two words have been discovered and confirmed already;

Fully in @ibrahim mahrir's answer (inspired by @A.P.), and
automated found in @Matt Stevens' answer.

The final word, from @Steve's answer and OP's third hint, we know

starts with dis and ends with y.
The second box for this word is $\int{C}$.
Integrated with respect to $y$, this should be ${\rm C}y + \rm A$.
That doesn't really get us anywhere.

However, if instead we go through some admittedly tortured gyrations ...

• Integration is the inverse of differentiation.
• Differentiation is indicated by $\frac{dy}{dx}$.
• The inverse of $\frac{dy}{dx}$ is $\frac{dx}{dy}$.
• With $x$ now representing the function, this equals $\frac{d}{dy}~\rm C$.
• Pretending now that $d$ is just a variable, this equals $\require{cancel}\frac{\cancel{d}}{\cancel{d}y}~\rm C = \Large\frac{C}{y}$.
• This can be read as "C over y".

If that's the solution to the second box, that gives us

dis + C over y $\implies$ discovery which, per the hint, ends in y.

  • $\begingroup$ Incorrect. I have edited the question. $\endgroup$ Feb 13 '18 at 11:19

Partial Answer

First Line

Taking the first two letters of the word "CASH" gives CA, then adding the L from the second square and the C from the third square indicates that it probably should be a word beginning in 'Calc', like 'Calculate' or 'Calcium'. Not sure what to do with the 365d though (could be a year?)..

Second Line

Maybe something like "Decarbonated", not sure about the second square though.

Third Line


  • $\begingroup$ Incorrect answer $\endgroup$ Feb 12 '18 at 10:58

Most of the hard work is already done but my guess is

Fully Automated Disciplinary

To explain the last bit

Plenary is synonymous with unlimited which is another way of describing an indefinite integral. So the last square could be interpreted as a "C-plenary" and thus
"dis" + "C-plenary" = Disciplinary.
It also gets some hits on google.

The rest of the puzzle has already been explained in other answers.

  • $\begingroup$ Incorrect. I have edited the question. $\endgroup$ Feb 13 '18 at 11:20

Could it be...

Fully Automated Luminosity

The first two words had already been answered.

For the 3rd word originally I had thought it to be


because the disc image could also mean cd, or candela. But with the latter image equating to function and using the hint that the the word ends in y. I have derived that the 3rd word of the phase is


Because it applies to a function. And because, A related quantity is integrated


which is the integral of the


with respect to time.

  • $\begingroup$ Welcome to Puzzling.SE! Could you explain your answer, please? Answers without any explanation are likely to get deleted. $\endgroup$
    – F1Krazy
    Feb 13 '18 at 14:38
  • $\begingroup$ Incorrect answer. $\endgroup$ Feb 13 '18 at 22:27

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