This is not my pic because I forgot to screenshot it when I did it. Microsoft has the hardest captcha I have ever had to complete. This one looks easier but I had a similar one that on my phone the images were too small, not recognizable and were more abstract looking shapes. It was so hard, I failed like 8 times (there were several ‘rounds’) and it almost made me second guess whether I might actually be a robot lol. Luckily, there was an audio version where you have to pick from a number of melody recordings and choose the one that was a pattern. Anyone else have trouble with this?

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39 points
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22 points

A few years ago when I was in college, I would’ve been able to solve that equation probably but that information has since left my brain lol.

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10 points

Yup same, i looked it up and it all came back. However, it’s still a completely useless knowledge in my normal adult life, though i’m a software engineer

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2 points

Calc was extremely useful to me as an industrial engineer and thank fuck I only have to understand it instead of actually doing it in my profession

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2 points

Much of the math I learned was memorizing steps. If it came up in real life I probably wouldn’t be able to piece all necessary info into an equation. Even a word problem is assumed to include the minimum. I am not a software engineer nor a programmer (yet) I am learning python supposedly a good precursor since my bg is in web design. The way i see it, all forms of logic while they don’t have a direct applied use in my life, serve as an exercising of my mind and can help understand inconsistencies and other logic/reasoning concepts. They are indirectly related.

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10 points
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My solution:

The outer square lines in the third column/row is the result of the difference between what exists in the first two items in that row/column. Only outer lines appearing only once will be in the 3rd shape. The center lines seem to be only center lines that appear in both shapes. Therefore x is 52, since all outer shapes cancel and there are no shared center lines. The rest is fairly simple.

The second derivative of f(x) is 78x + 22, so the answer is 78(52) + 22 + 52 = 4130

I’m not completely confident in this solution but it seems to be consistent with the known columns and rows.

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6 points
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I agree with your solution! GG

  • f’(x) = 3(13)x²+2(11)x+10
  • f"(x) = 6(13)x+22 = 72x + 22
  • f"(52) = 4056 + 22 = 4 078

4078 + 52 = 4 130

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5 points

The patterns work from top to bottom too.
The outside is XOR and the clock is AND.

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3 points

Never would have figured out that was XOR.

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8 points
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Claude 3.5 sonnet seems to think the answer is 23

CharGPT o1 thinks it’s 6, but the formula answer is 496 and just a “bonus”

o1 also “thought” about for a LONG TIME 1 minute and 11 seconds, which is the longest I’ve ever been able to get it to “think” about anything LMAO\

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5 points
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Notice how it doesn’t explain what’s going on in the pattern that got it to number 6. It’s just a guess. If push comes to shove, anyone can make a straight faced lie that whatever option is the correct answer, they’ll just avoid explaining it.

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5 points

that’s really impressive, parsing so much information from a 2 step problem displayed skewed on a garbled background

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2 points

Wouldn’t it be 79x + 22 ? But they don’t give you a value to use for x. Wtf

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3 points
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no, you need to derivate the f(x) function twice because the last line asks for f"(x). you do that by taking down the exponent in front of each power of the polynomial and decreasing the power by one each time you derivate.

So for the 13x³: derived once it becomes 3 times 13 x², which equals 39x². Derived a second time, it is 2 times 39x, so 78x.

The 11x² becomes 2 times 11x, and then just 22 (times x power zero). the rest disappears after two derivatives.

The x is given when finding the correct pattern that matches the missing symbol in the first part of the problem, being the dot, so 52. I explained how you find this in a comment somewhere up here :)

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3 points

Pretty sure 78x + 22 is f double prime of x. So f’’(x) + x simplifies to 79x + 22.

I found the other posts about XOR for solving the visual puzzle.

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1 point

f’‘(x) is 78x+22 but the question asks what number is f’'(x) + x, hence 79x+22.

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1 point

Honestly some capchas make me wish it was just a derivative.

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1 point

∫ x tan(x) dx

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1 point

is the correct pattern indeed 6 and why?

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10 points

no the correct pattern is 52, using the following method:

  • for each column, superpose the outer diagonal lines of the first and second pattern, lines that appear in both symbols are suppressed in the third (bottom) pattern, lines that only appear in one of the two first patterns are kept.
  • for each column, superpose the clock hands of the first and second pattern, only keep the clock hands that appear in both symbols at the same position.

The third column has the same diagonal lines in the first and second pattern, so they disappear. Those two symbols have different clock hands so they also disappear. So the only remaining element in the pattern is the central dot (52).

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3 points

Delete this before the AI collects it!

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3 points

Aaah yes

Thanks for the detailed answer!

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