- EIGHTY FIVE
- $7\times (4+{3}^{2})-6$
- 7 * (4 + 3 ** 2) - 6
- FIFTEEN
- $8+(3\times {2}^{2})-5$
- 8 + (3 * 2 ** 2) - 5
- SIX
- $12\xf7(2+4)\times 3$
- 12 / (2 + 4) * 3
- TWENTY ONE
- $5+2\times ({3}^{2}-1)$
- 5 + 2 * (3 ** 2 - 1)
- FOURTEEN
- $6\times (2+3)-{4}^{2}$
- 6 * (2 + 3) - 4 ** 2
- NINE
- $9+3\times (8-{2}^{3})$
- 9 + 3 * (8 - 2 ** 3)
- TWELVE
- $15\xf7(3+2)\times 4$
- 15 / (3 + 2) * 4
- TWENTY TWO
- $-7\times (5-{3}^{2})-6$
- -7 * (5 - 3 ** 2) - 6
- FOURTEEN
- $(8+2)\times 3-{4}^{2}$
- (8 + 2) * 3 - 4 ** 2
- TWENTY
- $10\xf7(5-2)\times 6$
- 10 / (5 - 2) * 6

7 * (4 + 3 ** 2) - 6 = 7 * (4 + 9) - 6 = 7 * 13 - 6 = 91 - 6 = 85

8 + (3 * 2 ** 2) - 5 = 8 + (3 * 4) - 5 = 8 + 12 - 5 = 20 - 5 = 15

12 / (2 + 4) * 3 = 12 / 6 * 3 = 2 * 3 = 6

5 + 2 * (3 ** 2 - 1) = 5 + 2 * (9 - 1) = 5 + 2 * 8 = 5 + 16 = 21

6 * (2 + 3) - 4 ** 2 = 6 * 5 - 4 ** 2 = 6 * 5 - 16 = 30 - 16 = 14

9 + 3 * (8 - 2 ** 3) = 9 + 3 * (8 - 8) = 9 + 3 * 0 = 9 + 0 = 9

15 / (3 + 2) * 4 = 15 / 5 * 4 = 3 * 4 = 12

-7 * (5 - 3 ** 2) - 6 = -7 * (5 - 9) - 6 = -7 * (-4) - 6 = 28 - 6 = 22

(8 + 2) * 3 - 4 ** 2 = 10 * 3 - 4 ** 2 = 30 - 16 = 14

10 / (5 - 2) * 6 = 10 / 3 * 6 = 10 / 3 * 6 = 60 / 3 = 20

This puzzle uses some examples of complicated order of operations math problems. involving a mix of addition, subtraction, multiplication, division, parentheses, and exponents. What makes them a puzzle is how easily a wrong answer can be found IF the calculations aren't performed in the correct order. Remember to follow the order of operations (PEMDAS/BODMAS) to solve them correctly. Enjoy!

Ideas for the problem set based on conversation with Copilot from 7/2024. References it credited (and great sources for digging deeper!):

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