\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \)
The digits of the birthday of Integermaniac master Dave Jones are 1, 7, 7, and 8. Create each of the positive integers using one copy of each number, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.
Use the online submissions page to get your Integermania solutions posted here! This problem is now in semi-retired status, so you may submit an unlimited number of solutions each month.
PREVIOUS Page, Page 4 (1201-6000), NEXT Page, ... Index to All Pages.
| 1201 (2.4) $\dfrac{1}{8\%\%} - 7 \times 7$ Steve Wilson, 8/23 Lawrence, KS |
1202 (3.0) $\dfrac{.1}{.\overline{8}\%\%} + 77$ Steve Wilson, 8/23 Lawrence, KS |
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| 1225 (3.2) $\dfrac{.1}{.\overline{8}\%\%} + \dfrac{7}{7\%}$ Steve Wilson, 8/23 Lawrence, KS |
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| 1246 (2.0) $178 \times 7$ Brooke Atkinson, 4/09 Olathe, KS |
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| 1309 (2.0) $187 \times 7$ Rabeh Ghadiri, 8/08 Overland Park, KS |
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| 1326 (2.0) $17 \times 78$ Travis Meek, 10/07 Lenexa, KS |
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| 1386 (2.0) $18 \times 77$ Kevin Schwarz, 10/07 Olathe, KS |
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| 1416 (2.0) $177 \times 8$ Travis Meek, 10/07 Lenexa, KS |
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| 1479 (2.0) $87 \times 17$ Rachel Davidson, 11/07 Shawnee, KS |
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| 1500 (3.4) $\dfrac{8 + \sqrt{7 \times 7}}{1\%}$ Jonathan Frank, 9/21 Rye, NY |
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| 1778 (2.0) $1778$ Karoly Szalay, 12/09 Ottawa, ON |
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| 1787 (2.0) $1787$ Jonathan Frank, 6/21 Rye, NY |
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| 1800 (2.2) $\dfrac{7}{7\%} \times 18$ Jonathan Frank, 5/21 Rye, NY |
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| 1877 (2.0) $1877$ Jonathan Frank, 6/21 Rye, NY |
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| 2002 (5.0) ${}_{7+7} C_{8+1}$ Carolyn Neptune, 7/09 Prairie Village, KS |
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| 2160 (3.4) $\dfrac{7!}{7} \times \sqrt{8 + 1}$ Jonathan Frank, 5/21 Rye, NY |
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| 2200 (2.2) $\dfrac{8 + 7 + 7}{1\%}$ Jonathan Frank, 9/21 Rye, NY |
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| 2352 (4.8) $\dfrac{8! \times 7}{(7 + \log(1\%))!}$ Duc Nguyen, 8/16 Shawnee, KS |
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| 2393 (3.2) $\sqrt{7^8} - 7 - 1$ Harman Tiwana, 10/12 Lenexa, KS |
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| 2431 (5.0) $\dfrac{_{17} C_7}{8}$ Duc Nguyen, 8/16 Shawnee, KS |
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| 3447 (3.4) $7! \times .7 - 81$ Jonathan Frank, 6/21 Rye, NY |
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| 3510 (3.4) $7! \times .7 - 18$ Jonathan Frank, 6/21 Rye, NY |
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| 3519 (3.4) $7! \times .7 - 8 - 1$ Jonathan Frank, 6/21 Rye, NY |
3520 (3.4) $7! \times .7 - 8 \times 1$ Jonathan Frank, 6/21 Rye, NY |
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| 3521 (3.4) $7! \times .7 - 8 + 1$ Jonathan Frank, 6/21 Rye, NY |
3522 (3.8) $7! \times .7 - (\sqrt{8 + 1})!$ Jonathan Frank, 6/21 Rye, NY |
3525 (3.6) $7! \times .7 - \sqrt{8 + 1}$ Jonathan Frank, 6/21 Rye, NY |
3528 (2.4) $\dfrac{7 \times 7 \times 8}{.\overline{1}}$ Jonathan Frank, 6/21 Rye, NY |
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| 3531 (3.6) $7! \times .7 + \sqrt{8 + 1}$ Jonathan Frank, 6/21 Rye, NY |
3534 (3.8) $7! \times .7 + (\sqrt{8 + 1})!$ Jonathan Frank, 6/21 Rye, NY |
3535 (3.4) $7! \times .7 + 8 - 1$ Jonathan Frank, 6/21 Rye, NY |
3536 (3.4) $7! \times .7 + 8 \times 1$ Jonathan Frank, 6/21 Rye, NY |
3537 (3.4) $7! \times .7 + 8 + 1$ Jonathan Frank, 6/21 Rye, NY |
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| 3546 (3.4) $7! \times .7 + 18$ Jonathan Frank, 6/21 Rye, NY |
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| 3609 (3.4) $7! \times .7 + 81$ Jonathan Frank, 6/21 Rye, NY |
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| 3780 (3.2) $\dfrac{7!}{8} \times (7 - 1)$ Jonathan Frank, 5/21 Rye, NY |
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| 3920 (2.2) $\dfrac{7 \times 7 \times 8}{.1}$ Jonathan Frank, 6/21 Rye, NY |
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| 3955 (3.4) $8! \times .1 - 77$ Jonathan Frank, 6/21 Rye, NY |
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| 3961 (3.4) $7! \times .8 - 71$ Jonathan Frank, 6/21 Rye, NY |
3969 (2.0) $81 \times 7 \times 7$ Melissa Mitchell, 11/07 Kansas City, KS |
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| 3976 (2.0) $71 \times 7 \times 8$ Melissa Mitchell, 11/07 Kansas City, KS |
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| 3983 (3.4) $8! \times .1 - 7 \times 7$ Jonathan Frank, 6/21 Rye, NY |
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| 4015 (3.4) $7! \times .8 - 17$ Jonathan Frank, 6/21 Rye, NY |
4018 (3.4) $8! \times .1 - 7 - 7$ Jonathan Frank, 6/21 Rye, NY |
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| 4024 (3.4) $7! \times .8 - 7 - 1$ Jonathan Frank, 6/21 Rye, NY |
4025 (3.6) $8! \times .1 - \sqrt{7 \times 7}$ Jonathan Frank, 6/21 Rye, NY |
4026 (3.4) $7! \times .8 - 7 + 1$ Jonathan Frank, 6/21 Rye, NY |
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| 4031 (3.4) $7! \times .8 - 1^7$ Jonathan Frank, 6/21 Rye, NY |
4032 (3.4) $8! \times .1 + 7 - 7$ Jonathan Frank, 6/21 Rye, NY |
4033 (3.4) $7! \times .8 + 1^7$ Jonathan Frank, 6/21 Rye, NY |
4038 (3.4) $7! \times .8 + 7 - 1$ Jonathan Frank, 6/21 Rye, NY |
4039 (3.6) $8! \times .1 + \sqrt{7 \times 7}$ Jonathan Frank, 6/21 Rye, NY |
4040 (3.4) $7! \times .8 + 7 + 1$ Jonathan Frank, 6/21 Rye, NY |
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| 4046 (3.4) $8! \times .1 + 7 + 7$ Jonathan Frank, 6/21 Rye, NY |
4049 (3.4) $7! \times .8 + 17$ Jonathan Frank, 6/21 Rye, NY |
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| 4081 (3.4) $8! \times .1 + 7 \times 7$ Jonathan Frank, 6/21 Rye, NY |
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| 4100 (2.2) $\dfrac{7 \times 7 - 8}{1\%}$ Jonathan Frank, 9/21 Rye, NY |
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| 4103 (3.4) $7! \times .8 + 71$ Jonathan Frank, 6/21 Rye, NY |
4109 (3.4) $8! \times .1 + 77$ Jonathan Frank, 6/21 Rye, NY |
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| 4140 (3.8) $7! - \dfrac{8 - 7}{.\overline{1}\%}$ Jonathan Frank, 9/21 Rye, NY |
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| 4169 (3.2) $7! - 871$ Jonathan Frank, 5/21 Rye, NY |
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| 4223 (3.2) $7! - 817$ Jonathan Frank, 5/21 Rye, NY |
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| 4259 (3.2) $7! - 781$ Jonathan Frank, 5/21 Rye, NY |
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| 4322 (3.2) $7! - 718$ Jonathan Frank, 5/21 Rye, NY |
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| 4409 (3.2) $\dfrac{7!}{8} \times 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
4410 (3.2) $\dfrac{7!}{8} \times 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
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| 4411 (3.2) $\dfrac{7!}{8} \times 7 + 1$ Jonathan Frank, 5/21 Rye, NY |
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| 4472 (3.2) $7! - 71 \times 8$ Jonathan Frank, 5/21 Rye, NY |
4473 (3.2) $7! - 81 \times 7$ Jonathan Frank, 5/21 Rye, NY |
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| 4853 (3.2) $7! - 187$ Jonathan Frank, 5/21 Rye, NY |
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| 4862 (3.2) $7! - 178$ Jonathan Frank, 5/21 Rye, NY |
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| 4892 (2.2) $\dfrac{7}{1\%} \times 7 - 8$ Jonathan Frank, 5/21 Rye, NY |
4900 (2.2) $\dfrac{8 \times 7 - 7}{1\%}$ Jonathan Frank, 9/21 Rye, NY |
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| 4904 (3.2) $7! - 17 \times 8$ Jonathan Frank, 5/21 Rye, NY |
4908 (2.2) $\dfrac{7}{1\%} \times 7 + 8$ Jonathan Frank, 5/21 Rye, NY |
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| 4914 (2.4) $\dfrac{78 \times 7}{.\overline{1}}$ Jonathan Frank, 6/21 Rye, NY |
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| 4940 (3.4) $7! - \dfrac{8 - 7}{1\%}$ Jonathan Frank, 9/21 Rye, NY |
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| 4952 (3.2) $7! - 87 - 1$ Jonathan Frank, 5/21 Rye, NY |
4953 (3.2) $7! - 87 \times 1$ Jonathan Frank, 5/21 Rye, NY |
4954 (3.2) $7! - 87 + 1$ Jonathan Frank, 5/21 Rye, NY |
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| 4961 (3.2) $7! - 78 - 1$ Jonathan Frank, 5/21 Rye, NY |
4962 (3.2) $7! - 78 \times 1$ Jonathan Frank, 5/21 Rye, NY |
4963 (3.2) $7! - 78 + 1$ Jonathan Frank, 5/21 Rye, NY |
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| 4976 (3.2) $7! - 8 \times (7 + 1)$ Jonathan Frank, 5/21 Rye, NY |
4977 (3.2) $7! - 7 \times (8 + 1)$ Jonathan Frank, 5/21 Rye, NY |
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| 4983 (3.2) $7! - 8 \times 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
4984 (3.2) $7! - 8 \times 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
4985 (3.2) $7! - 8 \times 7 + 1$ Jonathan Frank, 5/21 Rye, NY |
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| 4991 (3.2) $7! - 7 \times (8 - 1)$ Jonathan Frank, 5/21 Rye, NY |
4992 (3.2) $7! - 8 \times (7 - 1)$ Jonathan Frank, 5/21 Rye, NY |
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| 5005 (5.0) ${}_{7+8} C_{7-1}$ Ninglu Ma, 7/12 Lawrence, KS |
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| 5015 (3.2) $7! - 18 - 7$ Jonathan Frank, 5/21 Rye, NY |
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| 5024 (3.2) $7! - 8 - 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
5025 (3.2) $7! - 8 - 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
5026 (2.0) $718 \times 7$ Miranda Vose, 11/07 Overland Park, KS |
5027 (3.6) $7! - (\sqrt{8 + 1})! - 7$ Jonathan Frank, 6/21 Rye, NY |
5029 (3.2) $7! - 18 + 7$ Jonathan Frank, 5/21 Rye, NY |
5030 (3.4) $7! - \sqrt{8 + 1} - 7$ Jonathan Frank, 6/21 Rye, NY |
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| 5031 (3.2) $7! - 17 + 8$ Jonathan Frank, 5/21 Rye, NY |
5032 (3.2) $(7 - 1)! \times 7 - 8$ Jonathan Frank, 6/21 Rye, NY |
5033 (3.2) $\dfrac{8!}{7+1} - 7$ Tami Lawler-Bontrager, 9/07 Overland Park, KS |
5036 (3.4) $7! + \sqrt{8 + 1} - 7$ Jonathan Frank, 6/21 Rye, NY |
5038 (3.2) $7! - 8 + 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
5039 (3.2) $7! - 8 + 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
5040 (3.2) $7! - 8 + 7 + 1$ Jonathan Frank, 5/21 Rye, NY |
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| 5041 (3.2) $7! + 8 - 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
5042 (3.2) $7! + 8 - 7 + 1$ Jonathan Frank, 5/21 Rye, NY |
5044 (3.4) $7! - \sqrt{8 + 1} + 7$ Jonathan Frank, 6/21 Rye, NY |
5048 (3.2) $(7 - 1)! \times 7 + 8$ Jonathan Frank, 6/21 Rye, NY |
5049 (3.2) $7! + 17 - 8$ Jonathan Frank, 5/21 Rye, NY |
5050 (3.4) $7! + \sqrt{8 + 1} + 7$ Jonathan Frank, 6/21 Rye, NY |
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| 5051 (3.2) $7! + 18 - 7$ Jonathan Frank, 5/21 Rye, NY |
5053 (3.6) $7! + (\sqrt{8 + 1})! + 7$ Jonathan Frank, 6/21 Rye, NY |
5054 (3.2) $7! + 8 + 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
5055 (3.2) $7! + 8 + 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
5056 (3.2) $7! + 8 + 7 + 1$ Jonathan Frank, 5/21 Rye, NY |
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| 5065 (3.2) $7! + 18 + 7$ Jonathan Frank, 5/21 Rye, NY |
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| 5088 (3.2) $7! + 8 \times (7 - 1)$ Jonathan Frank, 5/21 Rye, NY |
5089 (3.2) $7! + 7 \times (8 - 1)$ Jonathan Frank, 5/21 Rye, NY |
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| 5095 (3.2) $7! + 7 \times 8 - 1$ Tami Lawler-Bontrager, 9/07 Overland Park, KS |
5096 (3.2) $7! + 8 \times 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
5097 (3.2) $7! + 8 \times 7 + 1$ Jonathan Frank, 5/21 Rye, NY |
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| 5103 (3.2) $7! + 7 \times (8 + 1)$ Jonathan Frank, 5/21 Rye, NY |
5104 (3.2) $7! + 8 \times (7 + 1)$ Jonathan Frank, 5/21 Rye, NY |
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| 5117 (3.2) $7! + 78 - 1$ Jonathan Frank, 5/21 Rye, NY |
5118 (3.2) $7! \times 1 + 78$ Kevin Schwarz, 12/07 Olathe, KS |
5119 (3.2) $7! + 78 + 1$ Jonathan Frank, 5/21 Rye, NY |
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| 5126 (3.2) $7! + 87 - 1$ Jonathan Frank, 5/21 Rye, NY |
5127 (3.2) $7! \times 1 + 87$ Kevin Schwarz, 12/07 Olathe, KS |
5128 (3.2) $7! + 87 + 1$ Jonathan Frank, 5/21 Rye, NY |
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| 5140 (3.4) $7! + \dfrac{8 - 7}{1\%}$ Jonathan Frank, 9/21 Rye, NY |
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| 5166 (3.2) $7! + 18 \times 7$ Jonathan Frank, 5/21 Rye, NY |
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| 5176 (3.2) $7! + 17 \times 8$ Jonathan Frank, 5/21 Rye, NY |
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| 5218 (3.2) $7! + 178$ Jonathan Frank, 5/21 Rye, NY |
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| 5227 (3.2) $7! + 187$ Jonathan Frank, 5/21 Rye, NY |
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| 5460 (2.2) $\dfrac{7}{1\%} \times 7.8$ Jonathan Frank, 5/21 Rye, NY |
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| 5467 (2.0) $781 \times 7$ Melissa Mitchell, 12/07 Kansas City, KS |
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| 5481 (2.4) $\dfrac{87 \times 7}{.\overline{1}}$ Jonathan Frank, 6/21 Rye, NY |
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| 5538 (2.0) $78 \times 71$ Melissa Mitchell, 12/07 Kansas City, KS |
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| 5544 (2.4) $\dfrac{77 \times 8}{.\overline{1}}$ Jonathan Frank, 6/21 Rye, NY |
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| 5593 (2.2) $\dfrac{7}{1\%} \times 8 - 7$ Jonathan Frank, 5/21 Rye, NY |
5600 (3.4) $\dfrac{8}{1\%} \times \sqrt{7 \times 7}$ Jonathan Frank, 5/21 Rye, NY |
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| 5607 (2.2) $\dfrac{7}{1\%} \times 8 + 7$ Jonathan Frank, 5/21 Rye, NY |
5608 (3.2) $7! + 71 \times 8$ Jonathan Frank, 5/21 Rye, NY |
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| 5689 (3.2) $\dfrac{8!}{7} - 71$ Jonathan Frank, 5/21 Rye, NY |
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| 5700 (2.2) $\dfrac{7 \times 7 + 8}{1\%}$ Jonathan Frank, 9/21 Rye, NY |
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| 5719 (2.0) $817 \times 7$ Melissa Mitchell, 12/07 Kansas City, KS |
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| 5736 (2.0) $717 \times 8$ Melissa Mitchell, 12/07 Kansas City, KS |
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| 5743 (3.2) $\dfrac{8!}{7} - 17$ Jonathan Frank, 5/21 Rye, NY |
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| 5752 (3.2) $\dfrac{8!}{7} - 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
5753 (3.2) $\dfrac{8!}{7} - 7 \times 1$ Miranda Vose, 11/07 Overland Park, KS |
5754 (3.2) $\dfrac{8!}{7} - 7 + 1$ Jonathan Frank, 5/21 Rye, NY |
5758 (3.2) $7! + 718$ Jonathan Frank, 5/21 Rye, NY |
5759 (3.2) $\dfrac{7!}{7} \times 8 - 1$ Jonathan Frank, 5/21 Rye, NY |
5760 (3.2) $\dfrac{7!}{7} \times 8 \times 1$ Jonathan Frank, 5/21 Rye, NY |
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| 5761 (3.2) $\dfrac{7!}{7} \times 8 + 1$ Jonathan Frank, 5/21 Rye, NY |
5766 (3.2) $\dfrac{8!}{7} + 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
5767 (3.2) $\dfrac{8!}{7} + \dfrac71$ Leif Muhammad, 4/14 Kansas City, MO |
5768 (3.2) $\dfrac{8!}{7} + 7 + 1$ Miranda Vose, 11/07 Overland Park, KS |
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| 5777 (3.2) $\dfrac{8!}{7} + 17$ Kevin Schwarz, 12/07 Olathe, KS |
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| 5821 (3.2) $7! + 781$ Jonathan Frank, 5/21 Rye, NY |
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| 5831 (3.2) $\dfrac{8!}{7} + 71$ Kevin Schwarz, 12/07 Olathe, KS |
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| 5857 (3.2) $7! + 817$ Jonathan Frank, 5/21 Rye, NY |
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| 5911 (3.2) $7! + 871$ Jonathan Frank, 5/21 Rye, NY |
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| 5940 (3.8) $7! + \dfrac{8 - 7}{.\overline{1}\%}$ Jonathan Frank, 9/21 Rye, NY |
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