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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.
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201+).
| 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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| 6040 (3.6) $7! + \dfrac{8 - 7}{.1\%}$ Jonathan Frank, 9/21 Rye, NY |
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| 6090 (2.2) $\dfrac{7}{.1} \times 87$ Tami Lawler-Bontrager, 10/07 Overland Park, KS |
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| 6097 (2.0) $871 \times 7$ Melissa Mitchell, 12/07 Kansas City, KS |
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| 6160 (2.2) $\dfrac{8}{.1} \times 77$ Tami Lawler-Bontrager, 10/07 Overland Park, KS |
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| 6168 (2.0) $771 \times 8$ Travis Meek, 10/07 Lenexa, KS |
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| 6177 (2.0) $71 \times 87$ Kevin Schwarz, 10/07 Olathe, KS |
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| 6237 (2.0) $81 \times 77$ Rachel Davidson, 11/07 Shawnee, KS |
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| 6300 (2.2) $\dfrac{8 \times 7 + 7}{1\%}$ Jonathan Frank, 9/21 Rye, NY |
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| 6307 (3.4) $\dfrac{7!}{8 \times .1} + 7$ Tami Lawler-Bontrager, 10/07 Overland Park, KS |
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| 6435 (5.0) ${}_{7+8} C_{7+1}$ Ninglu Ma, 7/12 Lawrence, KS |
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| 6480 (3.2) $\dfrac{7!}{7} \times (8 + 1)$ Jonathan Frank, 5/21 Rye, NY |
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| 6481 (3.4) $\dfrac{8! + 7!}{7} + 1$ Rabeh Ghadiri, 10/08 Overland Park, KS |
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| 6720 (5.6) $\dfrac{_8 P_7}{7 + \log \sqrt{1\%}}$ Duc Nguyen, 8/16 Shawnee, KS |
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| 6913 (2.4) $\dfrac{7}{.1\%} - 87$ Jonathan Frank, 7/21 Rye, NY |
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| 6922 (2.4) $\dfrac{7}{.1\%} - 78$ Jonathan Frank, 7/21 Rye, NY |
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| 6944 (2.4) $\dfrac{7}{.1\%} - 7 \times 8$ Jonathan Frank, 7/21 Rye, NY |
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| 6985 (2.4) $\dfrac{7}{.1\%} - 8 - 7$ Jonathan Frank, 7/21 Rye, NY |
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| 6999 (2.4) $\dfrac{7}{.1\%} - 8 + 7$ Jonathan Frank, 7/21 Rye, NY |
7000 (2.4) $\dfrac{7}{.1\%} \times (8 - 7)$ Jonathan Frank, 7/21 Rye, NY |
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| 7001 (2.4) $\dfrac{7}{.1\%} - 7 + 8$ Jonathan Frank, 7/21 Rye, NY |
7002 (2.4) $\dfrac{778}{.\overline{1}}$ Jonathan Frank, 6/21 Rye, NY |
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| 7015 (2.4) $\dfrac{7}{.1\%} + 7 + 8$ Jonathan Frank, 7/21 Rye, NY |
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| 7056 (2.4) $\dfrac{7}{.1\%} + 7 \times 8$ Jonathan Frank, 7/21 Rye, NY |
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| 7078 (2.4) $\dfrac{7}{.1\%} + 78$ Jonathan Frank, 7/21 Rye, NY |
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| 7083 (2.4) $\dfrac{787}{.\overline{1}}$ Jonathan Frank, 6/21 Rye, NY |
7087 (2.4) $\dfrac{7}{.1\%} + 87$ Jonathan Frank, 7/21 Rye, NY |
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| 7178 (2.0) $7178$ Jonathan Frank, 6/21 Rye, NY |
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| 7187 (2.0) $7187$ Jonathan Frank, 6/21 Rye, NY |
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| 7560 (3.4) $7! \times .1 \times (7 + 8)$ Jonathan Frank, 6/21 Rye, NY |
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| 7718 (2.0) $7718$ Steve Wilson, 11/09 Raytown, MO |
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| 7780 (2.2) $\dfrac{778}{.1}$ Jonathan Frank, 6/21 Rye, NY |
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| 7781 (2.0) $7781$ Steve Wilson, 11/09 Raytown, MO |
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| 7817 (2.0) $7817$ Jonathan Frank, 6/21 Rye, NY |
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| 7870 (2.2) $\dfrac{787}{.1}$ Jonathan Frank, 6/21 Rye, NY |
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| 7871 (2.0) $7871$ Jonathan Frank, 5/21 Rye, NY |
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| 7893 (2.4) $\dfrac{877}{.\overline{1}}$ Jonathan Frank, 6/21 Rye, NY |
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| 7923 (2.4) $\dfrac{8}{.1\%} - 77$ Jonathan Frank, 7/21 Rye, NY |
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| 7951 (2.4) $\dfrac{8}{.1\%} - 7 \times 7$ Jonathan Frank, 7/21 Rye, NY |
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| 7986 (2.4) $\dfrac{8}{.1\%} - 7 - 7$ Jonathan Frank, 7/21 Rye, NY |
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| 7993 (3.6) $\dfrac{8}{.1\%} - \sqrt{7 \times 7}$ Jonathan Frank, 7/21 Rye, NY |
8000 (2.4) $\dfrac{8}{.1\%} - 7 + 7$ Jonathan Frank, 7/21 Rye, NY |
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| 8007 (3.6) $\dfrac{8}{.1\%} + \sqrt{7 \times 7}$ Jonathan Frank, 7/21 Rye, NY |
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| 8014 (2.4) $\dfrac{8}{.1\%} + 7 + 7$ Jonathan Frank, 7/21 Rye, NY |
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| 8049 (2.4) $\dfrac{8}{.1\%} + 7 \times 7$ Jonathan Frank, 7/21 Rye, NY |
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| 8077 (2.4) $\dfrac{8}{.1\%} + 77$ Jonathan Frank, 7/21 Rye, NY |
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| 8100 (2.2) $\dfrac{7}{7\%} \times 81$ Jonathan Frank, 5/21 Rye, NY |
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| 8177 (2.0) $8177$ Steve Wilson, 11/09 Raytown, MO |
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| 8717 (2.0) $8717$ Jonathan Frank, 6/21 Rye, NY |
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| 8770 (2.2) $\dfrac{877}{.1}$ Jonathan Frank, 6/21 Rye, NY |
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| 8771 (2.0) $8771$ Steve Wilson, 11/09 Raytown, MO |
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| 9625 (2.4) $\dfrac{77}{.8 \times 1\%}$ Tami Lawler-Bontrager, 10/07 Overland Park, KS |
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| 10071 (3.4) $7! + 7! - 8 - 1$ Jonathan Frank, 9/21 Rye, NY |
10072 (3.4) $7! + 7! - 8 \times 1$ Jonathan Frank, 9/21 Rye, NY |
10073 (3.4) $7! + 7! - 8 + 1$ Gauri Gorawara, 2/10 Olathe, KS |
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| 10087 (3.4) $7! + 7! + 8 - 1$ Jonathan Frank, 9/21 Rye, NY |
10088 (3.4) $7! + 7! + 8 \times 1$ Jonathan Frank, 9/21 Rye, NY |
10089 (3.4) $7! + 7! + 8 + 1$ Jonathan Frank, 9/21 Rye, NY |
||||||||
| 10500 (2.2) $\dfrac{7}{1\%} \times (8 + 7)$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 10584 (3.6) $7! \times .7 \times \sqrt{8 + 1}$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 10800 (3.2) $(7 - 1)! \times (7 + 8)$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 11200 (2.2) $\dfrac{8}{1\%} \times (7 + 7)$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 21168 (3.8) $7! \times .7 \times (\sqrt{8 + 1})!$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 23183 (3.6) $8! \times .7 - 7! - 1$ Jonathan Frank, 6/21 Rye, NY |
23184 (3.6) $8! \times .7 - 7! \times 1$ Jonathan Frank, 6/21 Rye, NY |
23185 (3.6) $8! \times .7 - 7! + 1$ Jonathan Frank, 6/21 Rye, NY |
||||||||
| 24192 (3.4) $7! \times .8 \times (7 - 1)$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 24696 (3.4) $7! \times .7 \times (8 - 1)$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 27504 (3.6) $8! \times .7 - (7 - 1)!$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 28153 (3.4) $8! \times .7 - 71$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 28207 (3.4) $8! \times .7 - 17$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 28216 (3.4) $8! \times .7 - 7 - 1$ Jonathan Frank, 6/21 Rye, NY |
28217 (3.4) $8! \times .7 - 7 \times 1$ Jonathan Frank, 6/21 Rye, NY |
28218 (3.4) $8! \times .7 - 7 + 1$ Zhenghong To, 4/10 Overland Park, KS |
||||||||
| 28224 (3.4) $7! \times .1 \times 7 \times 8$ Jonathan Frank, 6/21 Rye, NY |
28230 (3.4) $8! \times .7 + 7 - 1$ Jonathan Frank, 6/21 Rye, NY |
|||||||||
| 28231 (3.4) $8! \times .7 + 7 \times 1$ Jonathan Frank, 6/21 Rye, NY |
28232 (3.4) $8! \times .7 + 7 + 1$ Jonathan Frank, 6/21 Rye, NY |
|||||||||
| 28241 (3.4) $8! \times .7 + 17$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 28295 (3.4) $8! \times .7 + 71$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 28944 (3.6) $8! \times .7 + (7 - 1)!$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 30239 (3.6) $8! - 7! - 7! - 1$ Jonathan Frank, 6/21 Rye, NY |
30239 (3.6) $8! - 7! - 7! \times 1$ Jonathan Frank, 6/21 Rye, NY |
|||||||||
| 30241 (3.6) $8! - 7! - 7! + 1$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 31752 (3.4) $7! \times .7 \times (8 + 1)$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 32256 (3.4) $7! \times .8 \times (7 + 1)$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 33263 (3.6) $8! \times .7 + 7! - 1$ Jonathan Frank, 6/21 Rye, NY |
33264 (3.6) $8! \times .7 + 7! \times 1$ Jonathan Frank, 6/21 Rye, NY |
33265 (3.6) $8! \times .7 + 7! + 1$ Jonathan Frank, 6/21 Rye, NY |
||||||||
| 34560 (3.6) $8! - 7! - (7 - 1)!$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 35209 (3.4) $8! - 7! - 71$ Cooper Krause, 6/12 Overland Park, KS |
||||||||||
| 35272 (3.4) $8! - 7! - 7 - 1$ Jonathan Frank, 6/21 Rye, NY |
35273 (3.4) $8! - 7! - 7 \times 1$ Jonathan Frank, 6/21 Rye, NY |
35274 (3.4) $8! - 7! - 7 + 1$ Jonathan Frank, 6/21 Rye, NY |
||||||||
| 35286 (3.4) $8! - 7! + 7 - 1$ Jonathan Frank, 6/21 Rye, NY |
35287 (3.4) $8! - 7! + 7 \times 1$ Jonathan Frank, 6/21 Rye, NY |
35288 (3.4) $8! - 7! + 7 + 1$ Jonathan Frank, 6/21 Rye, NY |
35289 (3.2) $7! \times 7 + 8 + 1$ Rachel Davidson, 11/07 Shawnee, KS |
|||||||
| 36000 (3.6) $8! - 7! + (7 - 1)!$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 39200 (2.2) $\dfrac{7}{1\%} \times 8 \times 7$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 39312 (3.4) $7! \times .1 \times 78$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 39549 (3.2) $8! - 771$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 39603 (3.2) $8! - 717$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 40143 (3.2) $8! - 177$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 40242 (3.2) $8! - 77 - 1$ Jonathan Frank, 5/21 Rye, NY |
40243 (3.2) $8! - 77 \times 1$ Jonathan Frank, 5/21 Rye, NY |
40244 (3.2) $8! - 77 + 1$ Jonathan Frank, 5/21 Rye, NY |
||||||||
| 40270 (3.2) $8! - 7 \times 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 40271 (3.2) $8! - 7 \times 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
40272 (3.2) $8! - 7 \times 7 + 1$ Jonathan Frank, 5/21 Rye, NY |
|||||||||
| 40305 (3.2) $8! - 7 - 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
40306 (3.2) $8! - 7 - 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
40307 (3.2) $8! - 7 - 7 + 1$ Jonathan Frank, 5/21 Rye, NY |
||||||||
| 40318 (3.2) $8! - \dfrac77 - 1$ Jonathan Frank, 5/21 Rye, NY |
40319 (3.2) $8! - 7 + 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
40320 (3.2) $8! - 7 + 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
||||||||
| 40321 (3.2) $8! + 7 - 7 + 1$ Denise Fernandes, 2/10 Lawrence, KS |
40322 (3.2) $8! + \dfrac77 + 1$ Jonathan Frank, 5/21 Rye, NY |
|||||||||
| 40333 (3.2) $8! + 7 + 7 - 1$ Jonathan Frank, 5/21 Rye, NY |
40334 (3.2) $8! + 7 + 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
40335 (3.2) $8! + 7 + 7 + 1$ Cooper Krause, 6/12 Overland Park, KS |
40337 (3.2) $7! \times 8 + 17$ Ninglu Ma, 7/12 Lawrence, KS |
|||||||
| 40368 (3.2) $8! + 7 \times 7 - 1$ Rachel Davidson, 11/07 Shawnee, KS |
40369 (3.2) $8! + 7 \times 7 \times 1$ Jonathan Frank, 5/21 Rye, NY |
40370 (3.2) $8! + 7 \times 7 + 1$ Jonathan Frank, 5/21 Rye, NY |
||||||||
| 40396 (3.2) $8! + 77 - 1$ Jonathan Frank, 5/21 Rye, NY |
40397 (3.2) $8! + 77 \times 1$ Jonathan Frank, 5/21 Rye, NY |
40398 (3.2) $8! + 77 + 1$ Jonathan Frank, 5/21 Rye, NY |
||||||||
| 40497 (3.2) $8! + 177$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 41037 (3.2) $8! + 717$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 41091 (3.2) $8! + 771$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 43848 (3.4) $7! \times .1 \times 87$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 44640 (3.6) $8! + 7! - (7 - 1)!$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 45289 (3.4) $8! + 7! - 71$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 45343 (3.4) $8! + 7! - 17$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 45352 (3.4) $8! + 7! - 7 - 1$ Jonathan Frank, 6/21 Rye, NY |
45353 (3.4) $8! + 7! - 7 \times 1$ Jonathan Frank, 6/21 Rye, NY |
45354 (3.4) $8! + 7! - 7 + 1$ Denise Fernandes, 2/10 Lawrence, KS |
||||||||
| 45366 (3.4) $8! + 7! + 7 - 1$ Jonathan Frank, 6/21 Rye, NY |
45367 (3.4) $8! + 7! + 7 \times 1$ Jonathan Frank, 6/21 Rye, NY |
45368 (3.4) $8! + 7! + 7 + 1$ Travis Meek, 11/07 Lenexa, KS |
||||||||
| 45377 (3.4) $8! + 7! + 17$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 45431 (3.4) $8! + 7! + 71$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 46080 (3.6) $8! + 7! + (7 - 1)!$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 50399 (3.6) $8! + 7! + 7! - 1$ Gauri Gorawara, 2/10 Olathe, KS |
50400 (3.6) $8! + 7! + 7! \times 1$ Jonathan Frank, 6/21 Rye, NY |
|||||||||
| 50401 (3.6) $8! + 7! + 7! + 1$ Gauri Gorawara, 2/10 Olathe, KS |
||||||||||
| 54600 (2.2) $\dfrac{7}{1\%} \times 78$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 56160 (3.2) $(7 - 1)! \times 78$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 57593 (3.4) $\dfrac{8!}{7 \times .1} - 7$ Tami Lawler-Bontrager, 10/07 Overland Park, KS |
||||||||||
| 60900 (2.2) $\dfrac{7}{1\%} \times 87$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 61600 (2.2) $\dfrac{8}{1\%} \times 77$ Jonathan Frank, 5/21 Rye, NY |
||||||||||
| 62640 (3.2) $(7 - 1)! \times 87$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 63504 (3.4) $7! \times .7 \times 18$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 68544 (3.4) $7! \times .8 \times 17$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 75600 (3.6) $8! - 7! + (7 + 1)!$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 77800 (2.2) $\dfrac{778}{1\%}$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 78700 (2.2) $\dfrac{787}{1\%}$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 85680 (3.6) $8! + 7! + (7 + 1)!$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 87700 (2.2) $\dfrac{877}{1\%}$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 393198 (3.2) $78 \times (7! + 1)$ Seth Musser, 10/10 Overland Park, KS |
||||||||||
| 408247 (3.2) $7! \times 81 + 7$ Travis Meek, 12/07 Lenexa, KS |
||||||||||
| 438393 (3.2) $87 \times (7! - 1)$ Seth Musser, 10/10 Overland Park, KS |
||||||||||
| 438479 (3.2) $7! \times 87 - 1$ Jonathan Frank, 6/21 Rye, NY |
438480 (3.2) $7! \times 87 \times 1$ Jonathan Frank, 6/21 Rye, NY |
|||||||||
| 438481 (3.2) $7! \times 87 + 1$ Jonathan Frank, 6/21 Rye, NY |
||||||||||
| 819511 (3.4) $7^7 - .1 \times 8!$ Cooper Krause, 6/12 Overland Park, KS |
||||||||||
| 823534 (3.0) $7^7 - 8 - 1$ Jeremy Miller, 10/07 Olathe, KS |
823536 (3.0) $7^7 - 8 + 1$ Jeremy Miller, 10/07 Olathe, KS |
|||||||||
| 823542 (3.0) $\dfrac{7^8}{7} - 1$ Rabeh Ghadiri, 9/08 Overland Park, KS |
823544 (3.0) $\dfrac{7^8}{7} + 1$ Tami Lawler-Bontrager, 9/07 Overland Park, KS |
823550 (3.0) $7^7 + 8 - 1$ Jeremy Miller, 10/07 Olathe, KS |
||||||||
| 823551 (3.0) $7^7 + 8 \times 1$ Jeremy Miller, 10/07 Olathe, KS |
823552 (3.0) $7^7 + 8 + 1$ Jeremy Miller, 10/07 Olathe, KS |
|||||||||
| 823561 (3.0) $7^7 + 18$ Cooper Krause, 6/12 Overland Park, KS |
||||||||||
| 2097144 (3.0) $8^7 - 7 - 1$ David Jamison, 8/10 Lawrence, KS |
2097146 (3.0) $8^7 - 7 + 1$ David Jamison, 8/10 Lawrence, KS |
|||||||||
| 2097152 (3.0) $8^7 \times 1^7$ Cooper Krause, 6/12 Overland Park, KS |
2097158 (3.0) $8^7 + 7 - 1$ David Jamison, 8/10 Lawrence, KS |
2097160 (3.0) $8^7 + 7 + 1$ Zhenghong To, 4/10 Overland Park, KS |
||||||||
| 2097169 (3.0) $8^7 + 17$ Kashmira Sayani, 4/17 Overland Park, KS |
||||||||||
| 2862727 (3.2) $8! \times 71 + 7$ Travis Meek, 12/07 Lenexa, KS |
||||||||||
| 3104640 (3.2) $8! \times 77 \times 1$ Travis Meek, 12/07 Lenexa, KS |
||||||||||
| 3104641 (3.2) $8! \times 77 + 1$ Travis Meek, 12/07 Lenexa, KS |
||||||||||
| 5764730 (3.0) $7^8 - 71$ Kashmira Sayani, 1/17 Overland Park, KS |
||||||||||
| 5764794 (3.0) $7^8 - 7 \times 1$ Erin Williams, 10/08 Kansas City, MO |
||||||||||
| 5764808 (3.0) $7^8 + 7 \times 1$ Erin Williams, 10/08 Kansas City, MO |
5764809 (3.0) $7^8 + 7 + 1$ Travis Meek, 11/07 Lenexa, KS |
|||||||||
| 5769841 (3.2) $7^8 \times 7! \times 1$ Wei Zhang, 6/12 Lawrence, KS |
||||||||||
| 6588344 (5.0) $7^7 \times {}_8 C_1$ Zhenghong To, 4/10 Overland Park, KS |
||||||||||
| 7136640 (3.2) $177 \times 8!$ Wei Zhang, 6/12 Lawrence, KS |
||||||||||
| 20039040 (3.2) $8! \times 71 \times 7$ Travis Meek, 12/07 Lenexa, KS |
||||||||||
| 25361279 (3.6) $7! \times 7! - 8! - 1$ Gauri Gorawara, 4/10 Olathe, KS |
25361280 (3.6) $7! \times 7! - 8! \times 1$ Denise Fernandes, 4/10 Lawrence, KS |
|||||||||
| 25361281 (3.6) $7! \times 7! - 8! + 1$ Gauri Gorawara, 4/10 Olathe, KS |
||||||||||
| 25401607 (3.4) $7! \times 7! + 8 - 1$ Jordan Cordry, 2/10 Overland Park, KS |
25401609 (3.4) $7! \times 7! + 8 + 1$ Jordan Cordry, 2/10 Overland Park, KS |
|||||||||
| 39929760 (3.4) $\dfrac{81!}{77!}$ Gauri Gorawara, 2/10 Olathe, KS |
||||||||||
| 40353606 (3.0) $7^8 \times 7 - 1$ Aimee Shupe, 7/09 Lenexa, KS |
40353608 (3.0) $7^8 \times 7 + 1$ Aimee Shupe, 7/09 Lenexa, KS |
|||||||||
| 170859374 (3.0) $(7 + 8)^7 - 1$ David Jamison, 8/10 Lawrence, KS |
170859375 (3.0) $(7 + 8)^7 \times 1$ Erin Williams, 10/08 Kansas City, MO |
170859376 (3.0) $(7 + 8)^7 + 1$ David Jamison, 8/10 Lawrence, KS |
||||||||
| 203212792 (3.4) $8! \times 7! - 7 - 1$ Gauri Gorawara, 3/10 Olathe, KS |
203212793 (3.4) $8! \times 7! \times 1 - 7$ Denise Fernandes, 4/10 Lawrence, KS |
203212794 (3.4) $8! \times 7! - 7 + 1$ Gauri Gorawara, 4/10 Olathe, KS |
203212800 (5.4) $7! \times 7! \times {}_8 C_1$ Denise Fernandes, 4/10 Lawrence, KS |
|||||||
| 203212806 (3.4) $8! \times 7! + 7 - 1$ Gauri Gorawara, 4/10 Olathe, KS |
203212808 (3.4) $8! \times 7! + 7 + 1$ Travis Meek, 11/07 Lenexa, KS |
|||||||||
| 410338681 (3.0) $17^7 + 8$ Ninglu Ma, 7/12 Lawrence, KS |
||||||||||
| 1422489600 (5.4) ${}_7 C_1 \times 8! \times 7!$ Gauri Gorawara, 4/10 Olathe, KS |
||||||||||
| 2562890625 (3.0) $(7 + 7 + 1)^8$ Seth Musser, 10/10 Overland Park, KS |
||||||||||
| 5843355956 (5.0) ${}_{87} C_7 - 1$ Denise Fernandes, 2/10 Lawrence, KS |
5843355957 (5.0) ${}_{87} C_7 \times 1$ Denise Fernandes, 2/10 Lawrence, KS |
5843355958 (5.0) ${}_{87} C_7 + 1$ Denise Fernandes, 2/10 Lawrence, KS |
||||||||
| 1024192511999 (3.6) $8! \times 7! \times 7! - 1$ Jordan Cordry, 2/10 Overland Park, KS |
1024192512000 (3.6) $8! \times 7! \times 7! \times 1$ Jordan Cordry, 2/10 Overland Park, KS |
|||||||||
| 1024192512001 (3.6) $8! \times 7! \times 7! + 1$ Jordan Cordry, 2/10 Overland Park, KS |
||||||||||
| 22876792454954 (3.0) $81^7 - 7$ Gauri Gorawara, 3/10 Olathe, KS |
||||||||||
| 160137547184727 (3.0) $81^7 \times 7$ Gauri Gorawara, 3/10 Olathe, KS |
||||||||||
| 1235736291547680 (3.0) $77^8 - 1$ Gauri Gorawara, 3/10 Olathe, KS |
||||||||||
| 1235736291547682 (3.0) $77^8 + 1$ Gauri Gorawara, 2/10 Olathe, KS |
||||||||||
| 1267650600228229401496703205376 (3.8) $8^{(7/(7\%)) \times \sqrt{.\overline{1}}}$ Ralph Jeffords, 5/08 Centreville, VA |
||||||||||
| 2478319062598415129963950080000 (3.4) $\dfrac{87!}{71!}$ Gauri Gorawara, 3/10 Olathe, KS |
||||||||||
| googol (3.4) $\sqrt[1^8 \%]{\dfrac{7}{.7}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
||||||||||
| googolplex (4.2) $.1^{-\left( \sqrt[8\%]{\dfrac{7}{7\% \pmmf}} \right)}$ Paolo Pellegrini, 1/09 Martina Franca, Italy |
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