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The first four odd numbers are 1, 3, 5, and 7. 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! Five "new" or "improved" solutions per person per month are accepted.
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201+)
| 1225 (3.0) $(7 \times 5)^{3-1}$ Elliot Rogers, 8/12 Lawrence, KS |
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| 1280 (3.8) $\dfrac{.5^{-7}\%}{.1^3}$ Steve Wilson, 7/22 Lawrence, KS |
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| 1294 (5.0) ${}_{13} C_5 + 7$ Shannon O'Neill, 7/12 Lawrence, KS |
1296 (3.0) $(5 + 1)^{7-3}$ Shikun Lu, 12/12 Lawrence, KS |
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| 1302 (3.4) $31 \times \dfrac{7!}{5!}$ Alec Knutsen, 10/12 Overland Park, KS |
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| 1331 (3.0) $(7 + 5 - 1)^3$ Deborah Kangas, 2/14 Lenexa, KS |
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| 1357 (2.0) $1357$ Haoyuan Wu, 7/12 Lawrence, KS |
1360 (2.2) $\dfrac{71 - 3}{5\%}$ Hee Do Yoon, 5/12 Overland Park, KS |
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| 1372 (3.0) $7^3 \times (5 - 1)$ Elliot Rogers, 8/12 Lawrence, KS |
1375 (2.0) $1375$ Haoyuan Wu, 7/12 Lawrence, KS |
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| 1400 (2.2) $\dfrac{7 \times (5 + 1)}{3\%}$ Hee Do Yoon, 3/12 Overland Park, KS |
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| 1460 (2.2) $73 \times \dfrac{1}{5\%}$ Yue Li, 7/12 Lawrence, KS |
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| 1469 (3.2) $(5! - 7) \times 13$ Shannon O'Neill, 7/12 Lawrence, KS |
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| 1480 (2.2) $\dfrac{71 + 3}{5\%}$ Hee Do Yoon, 5/12 Overland Park, KS |
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| 1500 (2.2) $\dfrac{7 + 5 + 3}{1\%}$ Hee Do Yoon, 3/12 Overland Park, KS |
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| 1507 (3.4) $7! \times 3 \times .1 - 5$ Nicole Maberry, 5/15 Lawrence, KS |
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| 1537 (2.0) $1537$ Haoyuan Wu, 7/12 Lawrence, KS |
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| 1551(2.0) $517 \times 3$ Michelle Spencer, 7/11 Harrisonville, MO |
1553 (3.2) $5! \times 13 - 7$ Yue Li, 7/12 Lawrence, KS |
1560 (3.4) $\dfrac{7!}{3} - \dfrac{5!}{1}$ Leif Muhammad, 4/14 Kansas City, MO |
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| 1567 (3.2) $5! \times 13 + 7$ Yue Li, 6/12 Lawrence, KS |
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| 1573 (2.0) $1573$ Haoyuan Wu, 7/12 Lawrence, KS |
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| 1585 (2.0) $317 \times 5$ Courtney Eiterich, 2/11 Lenexa, KS |
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| 1680 (3.2) $5! \times 7 \times (3 - 1)$ Shiyu Wang, 7/12 Lawrence, KS |
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| 1694 (3.0) $(3^5 - 1) \times 7$ Susan Vongphrachanh, 3/17 Kansas City, KS |
1700 (3.0) $7 \times 3^5 - 1$ Charles Mitts, 11/16 Olathe, KS |
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| 1701 (3.0) $7 \times 3^5 \times 1$ Charles Mitts, 11/16 Olathe, KS |
1702 (3.0) $3^5 \times 7 + 1$ Jaspreet Kaur, 1/15 Lenexa, KS |
1710 (3.0) $5 \times (7^3 - 1)$ Michele Gaston, 11/10 Olathe, KS |
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| 1713 (2.0) $571 \times 3$ Michele Gaston, 9/10 Olathe, KS |
1714 (3.0) $7^3 \times 5 - 1$ Marina Lazarevska, 4/12 Olathe, KS |
1715 (3.0) $7^3 \times 5 \times 1$ Marina Lazarevska, 3/12 Olathe, KS |
1716 (3.0) $7^3 \times 5 + 1$ Zech Rowe-Hayden, 4/12 Shawnee, KS |
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| 1728 (3.0) $(7 \times 1 + 5)^3$ Tien Huynh, 8/10 Olathe, KS |
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| 1767 (2.0) $57 \times 31$ Michele Gaston, 11/10 Olathe, KS |
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| 1855 (2.0) $371 \times 5$ Michele Gaston, 9/10 Olathe, KS |
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| 1887 (2.0) $37 \times 51$ Ambra Robinson, 4/11 Lawrence, KS |
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| 2025 (2.4) $\dfrac{75 \times 3}{.\overline{1}}$ Enrico Cirillo, 4/13 Terni, Italy |
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| 2130 (3.2) $71 \times 5 \times 3!$ Xueqin Xie, 7/12 Lawrence, KS |
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| 2136 (3.0) $3^7 - 51$ Yuncan Yang, 7/12 Lawrence, KS |
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| 2145 (2.0) $715 \times 3$ Ashley King, 11/10 Kansas City, KS |
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| 2155 (3.2) $(7 - 1)! \times 3 - 5$ Shiyu Wang, 7/12 Lawrence, KS |
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| 2165 (3.2) $(7 - 1)! \times 3 + 5$ Shiyu Wang, 7/12 Lawrence, KS |
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| 2172 (3.0) $3^7 - 15$ Cooper Krause, 7/12 Overland Park, KS |
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| 2181 (3.0) $3^7 - 5 - 1$ Rachel Winkler, 11/12 Shawnee, KS |
2183 (3.0) $3^7 - 5 + 1$ Rachel Winkler, 11/12 Shawnee, KS |
2187 (3.0) $(5 - 3 + 1)^7$ Deborah Kangas, 2/14 Lenexa, KS |
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| 2191 (3.0) $3^7 + 5 - 1$ Rachel Winkler, 11/12 Shawnee, KS |
2193 (3.0) $3^7 + 5 + 1$ Joseph Geraci, 9/11 Leawood, KS |
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| 2205 (2.0) $315 \times 7$ Ambra Robinson, 3/11 Lawrence, KS |
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| 2250 (2.2) $75 \times \dfrac{3}{.1}$ Sam Carroll, 11/10 Shawnee, KS |
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| 2253 (2.0) $751 \times 3$ Ashley King, 11/10 Kansas City, KS |
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| 2325 (2.0) $75 \times 31$ Maddee Quirk, 1/12 Overland Park, KS |
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| 2396 (3.0) $7^{3+1} - 5$ Josh Hood, 7/12 Lawrence, KS |
2398 (3.0) $7^{5-1} - 3$ Parada Boonchit, 8/12 Olathe, KS |
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| 2404 (3.0) $7^{5-1} + 3$ Parada Boonchit, 8/12 Olathe, KS |
2406 (3.0) $7^{3+1} + 5$ Josh Hood, 7/12 Lawrence, KS |
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| 2457 (2.0) $351 \times 7$ Kelly Wallace, 2/12 Kansas City, MO |
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| 2485 (2.0) $35 \times 71$ Marina Lazarevska, 2/12 Olathe, KS |
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| 2507 (3.4) $7! \times .5 - 13$ Shannon O'Neill, 7/12 Lawrence, KS |
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| 2520 (3.2) $5! \times 3 \times 7 \times 1$ Carissa Stefani, 5/15 Overland Park, KS |
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| 2840 (3.2) $71 \times \dfrac{5!}{3}$ Yue Li, 7/12 Lawrence, KS |
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| 3024 (3.2) $7! \times \dfrac35 \times 1$ Stephanie Diaz, 9/12 Overland Park, KS |
3025 (3.2) $7! \times \dfrac35 + 1$ Stephanie Diaz, 8/12 Overland Park, KS |
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| 3125 (3.0) $(7 - 3 + 1)^5$ Deborah Kangas, 2/14 Lenexa, KS |
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| 3175 (2.0) $3175$ Haoyuan Wu, 7/12 Lawrence, KS |
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| 3249 (3.0) $57^{3 - 1}$ Austin Marshall, 9/11 Shawnee, KS |
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| 3368 (3.0) $15^3 - 7$ Courtney Eiterich, 1/11 Lenexa, KS |
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| 3382 (3.0) $15^3 + 7$ Courtney Eiterich, 1/11 Lenexa, KS |
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| 3425 (3.2) $\dfrac{7^3}{.1} - 5$ Rachel Winkler, 11/12 Shawnee, KS |
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| 3435 (3.2) $\dfrac{7^3}{.1} + 5$ Rachel Winkler, 11/12 Shawnee, KS |
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| 3565 (2.0) $713 \times 5$ Kelly Wallace, 2/12 Kansas City, MO |
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| 3650 (2.2) $73 \times \dfrac{5}{.1}$ Xueqin Xie, 7/12 Lawrence, KS |
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| 3655 (2.0) $731 \times 5$ Kelly Wallace, 2/12 Kansas City, MO |
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| 3713 (3.2) $5! \times 31 - 7$ Yue Li, 7/12 Lawrence, KS |
3717 (2.0) $531 \times 7$ Archit Patel, 2/12 Shawnee, KS |
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| 3723 (2.0) $73 \times 51$ Ashley King, 12/10 Kansas City, KS |
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| 3763 (2.0) $71 \times 53$ Kelly Wallace, 2/12 Kansas City, MO |
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| 4032 (3.2) $7! \times \dfrac{3 + 1}{5}$ Stephanie Diaz, 8/12 Overland Park, KS |
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| 4050 (3.2) $\dfrac{3^5}{(7 - 1)\%}$ Junjie Mao, 7/12 Lawrence, KS |
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| 4131 (3.2) $3^5 \times 17$ Octavius Crease, 2/14 Olathe, KS |
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| 4260 (2.2) $71 \times \dfrac{3}{5\%}$ Hee Do Yoon, 5/12 Overland Park, KS |
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| 4375 (3.0) $7 \times 5^{3+1}$ Xinpei Zhao, 7/12 Lawrence, KS |
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| 4889 (3.4) $7! - 5! - 31$ Shan Wang, 7/12 Lawrence, KS |
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| 4908 (3.0) $17^3 - 5$ Ambra Robinson, 1/11 Lawrence, KS |
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| 4913 (3.6) $7! - 5! - 3! - 1$ Michael Fung, 1/12 Overland Park, KS |
4918 (3.0) $17^3 + 5$ Marina Lazarevska, 3/12 Olathe, KS |
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| 4951 (3.4) $7! - 5! + 31$ Shan Wang, 7/12 Lawrence, KS |
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| 5033 (3.4) $(5! \times 3! - 1) \times 7$ Parada Boonchit, 11/12 Olathe, KS |
5037 (3.2) $7! - 5 + 3 - 1$ Aaron Parsons, 8/16 Pittsville, MD |
5039 (3.2) $7! - 5 + 3 + 1$ Aaron Parsons, 8/16 Pittsville, MD |
5040 (3.4) $5! \times 3! \times 7 \times 1$ Elizabeth Waters, 6/12 Lawrence, KS |
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| 5041 (3.0) $71^{5-3}$ Chris Harris, 7/12 Overland Park, KS |
5047 (3.4) $(5! \times 3! + 1) \times 7$ Parada Boonchit, 11/12 Olathe, KS |
5049 (3.2) $7! + 5 + 3 + 1$ Zech Rowe-Hayden, 3/12 Shawnee, KS |
5050 (3.4) $7! + 5 + 3! - 1$ Vittorio Giannini, 4/13 Anguillara Sabazia, Italy |
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| 5054 (3.2) $7! + 5 \times 3 - 1$ Charles Mitts, 11/16 Olathe, KS |
5055 (3.2) $7! + 5 \times 3 \times 1$ Charles Mitts, 11/16 Olathe, KS |
5056 (3.2) $7! + 5 \times 3 + 1$ Jaspreet Kaur, 2/15 Lenexa, KS |
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| 5081 (3.4) $7! + \dfrac{5!}{3} + 1$ Zech Rowe-Hayden, 5/12 Shawnee, KS |
5082 (3.4) $((5 + 1)! + 3!) \times 7$ Parada Boonchit, 11/12 Olathe, KS |
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| 5129 (3.4) $7! + 5! - 31$ Shan Wang, 7/12 Lawrence, KS |
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| 5145 (3.0) $7^3 \times 15$ Dietrich Kruse, 12/12 Olathe, KS |
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| 5155 (3.6) $7! + 5! - 3! + 1$ Shan Wang, 7/12 Lawrence, KS |
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| 5163 (3.4) $7! + 5! + 3 \times 1$ Carissa Stefani, 5/15 Overland Park, KS |
5164 (3.4) $7! + 5! + 3 + 1$ Zech Rowe-Hayden, 3/12 Shawnee, KS |
5165 (3.6) $7! + 5! + 3! - 1$ Marina Lazarevska, 5/12 Olathe, KS |
5166 (3.6) $(7! + 5! + 3!)^1$ Vittorio Giannini, 4/13 Anguillara Sabazia, Italy |
5167 (3.6) $7! + 5! + 3! + 1$ Michael Fung, 1/12 Overland Park, KS |
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| 5191 (3.4) $7! + 5! + 31$ Shan Wang, 7/12 Lawrence, KS |
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| 5400 (2.2) $\dfrac{57 - 3}{1\%}$ Hee Do Yoon, 5/12 Overland Park, KS |
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| 5602 (3.0) $\dfrac{7^5 - 1}{3}$ Hengshen Lu, 12/12 Lawrence, KS |
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| 5625 (3.0) $75^{3-1}$ Elliot Rogers, 8/12 Lawrence, KS |
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| 5761 (3.6) $7! + 5! \times 3! + 1$ Zech Rowe-Hayden, 4/12 Shawnee, KS |
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| 6000 (2.2) $\dfrac{57 + 3}{1\%}$ Hee Do Yoon, 5/12 Overland Park, KS |
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| 6047 (3.4) $\dfrac{3! \times 7!}{5} - 1$ Stephanie Diaz, 10/12 Overland Park, KS |
6048 (3.4) $7! \times 3! \times \dfrac15$ Elizabeth Waters, 6/12 Lawrence, KS |
6049 (3.4) $\dfrac{3! \times 7!}{5} + 1$ Stephanie Diaz, 10/12 Overland Park, KS |
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| 7168 (3.0) $(3 + 1)^5 \times 7$ Zech Rowe-Hayden, 4/12 Shawnee, KS |
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| 7203 (3.0) $7^{5-1} \times 3$ Parada Boonchit, 8/12 Olathe, KS |
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| 7530 (2.2) $\dfrac{753}{.1}$ Jaspreet Kaur, 2/15 Lenexa, KS |
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| 7531 (2.0) $7531$ Allison Layne-Mulhern, 11/13 Leawood, KS |
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| 7559 (3.4) $7! \times 5 \times .3 - 1$ Steve Wilson, 7/22 Lawrence, KS |
7560 (3.4) $7! \times 5 \times .3 \times 1$ Steve Wilson, 7/22 Lawrence, KS |
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| 7561 (3.4) $7! \times 5 \times .3 + 1$ Steve Wilson, 7/22 Lawrence, KS |
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| 7776 (3.0) $(13 - 7)^5$ Ambra Robinson, 2/11 Lawrence, KS |
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| 8399 (3.2) $7! \times \dfrac53 - 1$ Stephanie Diaz, 11/12 Olathe, KS |
8400 (3.2) $7! \times \dfrac53 \times 1$ Stephanie Diaz, 9/12 Overland Park, KS |
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| 8401 (3.2) $7! \times \dfrac53 + 1$ Stephanie Diaz, 8/12 Overland Park, KS |
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| 8575 (3.2) $\dfrac{7^3}{(5 - 1)\%}$ Junjie Mao, 7/12 Lawrence, KS |
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| 8875 (3.0) $71 \times 5^3$ Javion Grant, 7/14 Kansas City, KS |
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| 10080 (3.2) $7! \times \dfrac{5 + 1}{3}$ Stephanie Diaz, 8/12 Overland Park, KS |
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| 10500 (2.2) $\dfrac{7}{1\%} \times 5 \times 3$ Marina Lazarevska, 2/12 Olathe, KS |
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| 10934 (3.0) $3^7 \times 5 - 1$ Charles Mitts, 11/16 Olathe, KS |
10935 (3.0) $3^7 \times 5 \times 1$ Marina Lazarevska, 4/12 Olathe, KS |
10936 (3.0) $3^7 \times 5 + 1$ Zech Rowe-Hayden, 4/12 Shawnee, KS |
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| 15135 (3.2) $7! \times 3 + 15$ Yue Li, 6/12 Lawrence, KS |
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| 15171 (3.2) $7! \times 3 + 51$ Yue Li, 6/12 Lawrence, KS |
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| 15625 (3.0) $5^{13-7}$ Alyssa Trembly, 3/15 Spring Hill, KS |
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| 16379 (3.0) $(1 + 3)^7 - 5$ Stephanie Cantrell, 5/16 Louisburg, KS |
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| 16384 (3.2) $(3 - 1)^{7/.5}$ Steve Wilson, 7/22 Lawrence, KS |
16389 (3.0) $(1 + 3)^7 + 5$ Stephanie Cantrell, 5/16 Louisburg, KS |
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| 16803 (3.0) $7^5 - 3 - 1$ Xinpei Zhao, 7/12 Lawrence, KS |
16805 (3.0) $7^5 - 3 + 1$ Xinpei Zhao, 7/12 Lawrence, KS |
16809 (3.0) $7^5 + 3 - 1$ Xinpei Zhao, 7/12 Lawrence, KS |
16810 (3.0) $7^5 \times 1 + 3$ Dietrich Kruse, 12/12 Olathe, KS |
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| 16811 (3.0) $7^5 + 3 + 1$ Xinpei Zhao, 7/12 Lawrence, KS |
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| 17253 (3.0) $3^5 \times 71$ Carissa Stefani, 5/15 Overland Park, KS |
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| 19305 (5.0) ${}_{15} C_7 \times 3$ Shannon O'Neill, 7/12 Lawrence, KS |
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| 20160 (3.4) $5! \times (3 + 1)!\times 7$ Parada Boonchit, 11/12 Olathe, KS |
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| 20640 (3.4) $(7! + 5!) \times (3 + 1)$ Nick Evans, 6/12 Lawrence, KS |
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| 20736 (3.0) $(7 + 5)^{3+1}$ Luke Sauvadon, 6/12 Lawrence, KS |
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| 21000 (3.4) $3! \times 5 \times \dfrac{7}{1\%}$ Hengshen Lu, 12/12 Lawrence, KS |
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| 22500 (2.2) $75 \times \dfrac{3}{1\%}$ Brett Wolverton, 12/10 Overland Park, KS |
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| 23600 (3.2) $\dfrac{3^5 - 7}{1\%}$ Junjie Mao, 7/12 Lawrence, KS |
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| 23625 (3.0) $15^3 \times 7$ Ambra Robinson, 1/11 Lawrence, KS |
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| 25200 (3.2) $7! \times \dfrac{15}{3}$ Luke Sauvadon, 6/12 Lawrence, KS |
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| 25231 (3.2) $7! \times 5 + 31$ Yue Li, 6/12 Lawrence, KS |
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| 26042 (3.0) $\dfrac{5^7 + 1}{3}$ Elizabeth Waters, 6/12 Lawrence, KS |
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| 36120 (3.6) $(7! + 5!) \times (3! + 1)$ Nick Evans, 6/12 Lawrence, KS |
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| 37100 (2.2) $7 \times \dfrac{53}{1\%}$ Marina Lazarevska, 2/12 Olathe, KS |
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| 40119 (5.2) $\dfrac{ {}_{5!} C_3}{7} - 1$ Josh Hood, 7/12 Lawrence, KS |
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| 40121 (5.2) $\dfrac{ {}_{5!} C_3}{7} + 1$ Josh Hood, 7/12 Lawrence, KS |
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| 41160 (3.2) $7^3 \times 5! \times 1$ Xueqin Xie, 7/12 Lawrence, KS |
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| 42874 (3.0) $(7 \times 5)^3 - 1$ Ashley King, 10/10 Kansas City, KS |
42875 (3.0) $(7 \times 5)^3 \times 1$ Ashley King, 12/10 Kansas City, KS |
42876 (3.0) $(7 \times 5)^3 + 1$ Ashley King, 12/10 Kansas City, KS |
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| 45360 (3.2) $(5 + 3 + 1) \times 7!$ Cooper Krause, 7/12 Overland Park, KS |
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| 50420 (3.0) $7^5 \times 3 - 1$ Marina Lazarevska, 5/12 Olathe, KS |
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| 50421 (3.0) $7^5 \times 3^1$ Marina Lazarevska, 5/12 Olathe, KS |
50422 (3.0) $7^5 \times 3 + 1$ Zech Rowe-Hayden, 3/12 Shawnee, KS |
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| 53700 (2.2) $\dfrac{537}{1\%}$ Alyssa Trembly, 4/14 Spring Hill, KS |
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| 57300 (2.2) $\dfrac{573}{1\%}$ Alyssa Trembly, 4/14 Spring Hill, KS |
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| 60479 (3.6) $\dfrac{3! \times 7!}{.5} - 1$ Stephanie Diaz, 12/12 Overland Park, KS |
60480 (3.6) $\dfrac{3! \times 7!}{.5} \times 1$ Stephanie Diaz, 12/12 Overland Park, KS |
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| 60481 (3.6) $\dfrac{3! \times 7!}{.5} + 1$ Stephanie Diaz, 12/12 Overland Park, KS |
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| 65515 (3.2) $13 \times 7! - 5$ Wei Zhang, 6/12 Lawrence, KS |
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| 73500 (2.2) $\dfrac{735}{1\%}$ Alyssa Trembly, 4/14 Spring Hill, KS |
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| 75300 (2.2) $\dfrac{753}{1\%}$ Alyssa Trembly, 4/14 Spring Hill, KS |
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| 75601 (3.2) $7! \times 5 \times 3 + 1$ Jaspreet Kaur, 2/15 Lenexa, KS |
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| 78122 (3.0) $5^7 - 3^1$ Ryan McNeese, 6/12 Lenexa, KS |
78125 (3.0) $\left( \dfrac{15}{3} \right)^7$ Alyssa Trembly, 4/14 Spring Hill, KS |
78126 (3.0) $5^7 + 1^3$ Phil Cellitti, 6/12 Overland Park, KS |
78128 (3.0) $5^7 + 3^1$ Ryan McNeese, 6/12 Lenexa, KS |
78129 (3.0) $5^7 + 3 + 1$ Joseph Geraci, 9/11 Leawood, KS |
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| 84000 (3.4) $7! \times \dfrac{5}{.3} \times 1$ Stephanie Diaz, 9/12 Overland Park, KS |
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| 84001 (3.4) $7! \times \dfrac{5}{.3} + 1$ Stephanie Diaz, 9/12 Overland Park, KS |
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| 86904 (4.0) $(3!)! \times 5! + 7! \times .1$ Jason Cosentino, 7/12 Lawrence, KS |
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| 93312 (3.0) $\dfrac{(1 + 5)^7}{3}$ Stephanie Cantrell, 5/16 Louisburg, KS |
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| 100800 (3.4) $7! \times \dfrac{5 + 1}{.3}$ Stephanie Diaz, 9/12 Overland Park, KS |
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| 111537 (3.0) $3^7 \times 51$ Carissa Stefani, 5/15 Overland Park, KS |
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| 132644 (3.0) $51^3 - 7$ Ryan McNeese, 6/12 Lenexa, KS |
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| 132658 (3.0) $51^3 + 7$ Michele Gaston, 12/10 Olathe, KS |
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| 151199 (3.4) $7! \times 5 \times 3! - 1$ Zech Rowe-Hayden, 5/12 Shawnee, KS |
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| 151201 (3.4) $7! \times 5 \times 3! + 1$ Zech Rowe-Hayden, 5/12 Shawnee, KS |
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| 161051 (3.0) $(7 + 3 + 1)^5$ Deborah Kangas, 2/14 Lenexa, KS |
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| 185192 (3.0) $57^3 - 1$ Courtney Eiterich, 3/11 Lenexa, KS |
185193 (3.0) $57^3 \times 1$ Courtney Eiterich, 3/11 Lenexa, KS |
185194 (3.0) $57^3 + 1$ Courtney Eiterich, 3/11 Lenexa, KS |
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| 201599 (3.4) $\dfrac{5! \times 7!}{3} - 1$ Stephanie Diaz, 10/12 Overland Park, KS |
201600 (3.4) $7! \times 5! \times \dfrac13$ Elizabeth Waters, 6/12 Lawrence, KS |
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| 201601 (3.4) $\dfrac{5! \times 7!}{3} + 1$ Stephanie Diaz, 10/12 Overland Park, KS |
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| 218491 (3.0) $7^5 \times 13$ Alyssa Trembly, 3/15 Spring Hill, KS |
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| 226800 (3.2) $15 \times 3 \times 7!$ Cooper Krause, 7/12 Overland Park, KS |
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| 234374 (3.0) $5^7 \times 3 - 1$ Marina Lazarevska, 4/12 Olathe, KS |
234375 (3.0) $5^7 \times 3 \times 1$ Marina Lazarevska, 3/12 Olathe, KS |
234376 (3.0) $5^7 \times 3 + 1$ Marina Lazarevska, 4/12 Olathe, KS |
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| 267121 (3.2) $53 \times 7! + 1$ Wei Zhang, 6/12 Lawrence, KS |
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| 302400 (3.4) $\dfrac{7! \times 5!}{3 - 1}$ Hengshen Lu, 12/12 Lawrence, KS |
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| 357906 (3.0) $71^3 - 5$ Parada Boonchit, 8/12 Olathe, KS |
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| 357916 (3.0) $71^3 + 5$ Marina Lazarevska, 3/12 Olathe, KS |
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| 371286 (3.0) $13^5 - 7$ Ninglu Ma, 7/12 Lawrence, KS |
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| 371300 (3.0) $13^5 + 7$ Marina Lazarevska, 3/12 Olathe, KS |
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| 405224 (3.0) $(75 - 1)^3$ Wei Zhang, 6/12 Lawrence, KS |
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| 421874 (3.0) $75^3 - 1$ Marina Lazarevska, 4/12 Olathe, KS |
421875 (3.0) $75^3 \times 1$ Marina Lazarevska, 2/12 Olathe, KS |
421876 (3.0) $75^3 + 1$ Michele Gaston, 12/10 Olathe, KS |
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| 438976 (3.0) $(71 + 5)^3$ Hengshen Lu, 12/12 Lawrence, KS |
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| 521017 (3.0) $7^5 \times 31$ Ashley King, 12/10 Kansas City, KS |
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| 680400 (3.2) $135 \times 7!$ Ambra Robinson, 3/11 Lawrence, KS |
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| 823543 (3.0) $7^{5 + 3 - 1}$ Javion Grant, 7/14 Kansas City, KS |
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| 928557 (3.0) $51^3 \times 7$ Alyssa Trembly, 2/14 Spring Hill, KS |
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| 1000000 (3.0) $(7 + 3)^{5+1}$ Luke Sauvadon, 6/12 Lawrence, KS |
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| 1015625 (3.0) $5^7 \times 13$ Alyssa Trembly, 3/15 Spring Hill, KS |
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| 1157625 (3.0) $(15 \times 7)^3$ Ambra Robinson, 1/11 Lawrence, KS |
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| 1419854 (3.0) $17^5 - 3$ Ambra Robinson, 4/11 Lawrence, KS |
1419860 (3.0) $17^5 + 3$ Ambra Robinson, 4/11 Lawrence, KS |
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| 1500625 (3.0) $(7 \times 5)^{3+1}$ Elliot Rogers, 8/12 Lawrence, KS |
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| 1542240 (3.4) $51 \times 7! \times 3!$ Jaspreet Kaur, 2/15 Lenexa, KS |
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| 1594323 (3.0) $3^{7 + 5 + 1}$ Javion Grant, 7/14 Kansas City, KS |
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| 1789555 (3.0) $71^3 \times 5$ Parada Boonchit, 8/12 Olathe, KS |
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| 2015999 (3.6) $\dfrac{5! \times 7!}{.3} - 1$ Stephanie Diaz, 12/12 Overland Park, KS |
2016000 (3.6) $\dfrac{5! \times 7!}{.3} \times 1$ Stephanie Diaz, 12/12 Overland Park, KS |
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| 2016001 (3.6) $\dfrac{5! \times 7!}{.3} + 1$ Stephanie Diaz, 10/12 Overland Park, KS |
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| 2421875 (3.0) $5^7 \times 31$ Alyssa Trembly, 3/15 Spring Hill, KS |
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| 2599051 (3.0) $13^5 \times 7$ Carissa Stefani, 5/15 Overland Park, KS |
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| 3628799 (3.6) $7! \times 5! \times 3! - 1$ Zech Rowe-Hayden, 5/12 Shawnee, KS |
3628800 (3.6) $7! \times 5! \times 3! \times 1$ Michael Fung, 1/12 Overland Park, KS |
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| 3628801 (3.6) $7! \times 5! \times 3! + 1$ Zech Rowe-Hayden, 5/12 Shawnee, KS |
||||||||||
| 3869893 (3.0) $157^3$ Janalyn Giles, 10/11 Shawnee, KS |
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| 4084101 (3.0) $(3 \times 7)^{5 \times 1}$ Javion Grant, 7/14 Kansas City, KS |
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| 4287500 (3.2) $\dfrac{(5 \times 7)^3}{1\%}$ Junjie Mao, 7/12 Lawrence, KS |
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| 4782969 (3.0) $(1 + 3 + 5)^7$ Deborah Kangas, 2/14 Lenexa, KS |
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| 5042100 (3.2) $7^5 \times \dfrac{3}{1\%}$ Junjie Mao, 7/12 Lawrence, KS |
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| 5359375 (3.0) $175^3$ Luke Sauvadon, 6/12 Lawrence, KS |
||||||||||
| 5764801 (3.0) $7^{13-5}$ Alyssa Trembly, 3/15 Spring Hill, KS |
||||||||||
| 6048720 (4.0) $(3!)! + 5! \times \dfrac{7!}{.1}$ Jason Cosentino, 7/12 Lawrence, KS |
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| 10556001 (3.0) $57^{3+1}$ Chris Harris, 7/12 Overland Park, KS |
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| 14348914 (3.0) $3^{15} + 7$ Joseph Geraci, 9/11 Leawood, KS |
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| 23437500 (3.2) $5^7 \times \dfrac{3}{1\%}$ Hengshen Lu, 12/12 Lawrence, KS |
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| 25401600 (3.2) $7!^{5-3} \times 1$ Parada Boonchit, 9/12 Olathe, KS |
||||||||||
| 25401601 (3.2) $7!^{5-3} + 1$ Parada Boonchit, 9/12 Olathe, KS |
||||||||||
| 28629144 (3.0) $31^5 - 7$ Courtney Eiterich, 3/11 Lenexa, KS |
||||||||||
| 28629158 (3.0) $31^5 + 7$ Courtney Eiterich, 3/11 Lenexa, KS |
||||||||||
| 31640625 (3.0) $75^{3+1}$ Nick Evans, 6/12 Lawrence, KS |
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| 35831808 (3.2) $(7 + 5)^{3! + 1}$ Marshall Bjelland, 7/12 Lawrence, KS |
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| 36288120 (4.0) $(3!)! \times \dfrac{7!}{.1} + 5!$ Jason Cosentino, 7/12 Lawrence, KS |
||||||||||
| 40353607 (3.0) $7^{5+3+1}$ Jaspreet Kaur, 2/15 Lenexa, KS |
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| 56953125 (3.0) $\dfrac{15^7}{3}$ Bill Holler, 2/12 Atchison, KS |
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| 69343957 (3.0) $(37 \times 1)^5$ Wei Zhang, 6/12 Lawrence, KS |
69343958 (3.0) $37^5 + 1$ Bill Holler, 1/12 Atchison, KS |
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| 83026944 (3.2) $\dfrac{13!}{75}$ Ambra Robinson, 3/11 Lawrence, KS |
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| 129140168 (3.0) $3^{17} + 5$ Elizabeth Waters, 6/12 Lawrence, KS |
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| 170859372 (3.0) $15^7 - 3$ Bill Holler, 1/12 Atchison, KS |
170859374 (3.0) $(5 \times 3)^7 - 1$ Bill Holler, 2/12 Atchison, KS |
170859375 (3.0) $(5 \times 3)^7 \times 1$ Bill Holler, 1/12 Atchison, KS |
170859376 (3.0) $(5 \times 3)^7 + 1$ Ashley King, 12/10 Kansas City, KS |
170859378 (3.0) $15^7 + 3$ Katie Guenther, 11/11 Olathe, KS |
||||||
| 200533921 (3.2) $(5! - 1)^{7-3}$ Marshall Bjelland, 7/12 Lawrence, KS |
||||||||||
| 207359999 (3.2) $5!^{7-3} - 1$ Parada Boonchit, 9/12 Olathe, KS |
207360000 (3.2) $5!^{7-3} \times 1$ Parada Boonchit, 9/12 Olathe, KS |
|||||||||
| 207360001 (3.2) $5!^{7-3} + 1$ Parada Boonchit, 9/12 Olathe, KS |
||||||||||
| 260144641 (3.2) $(5! + 7)^{3 + 1}$ Marshall Bjelland, 7/12 Lawrence, KS |
||||||||||
| 313742585 (3.0) $13^7 \times 5$ Bill Holler, 1/12 Atchison, KS |
||||||||||
| 362797056 (3.2) $(7 - 1)^{3! + 5}$ Marshall Bjelland, 7/12 Lawrence, KS |
||||||||||
| 423564751 (3.0) $751^3$ Zech Rowe-Hayden, 3/12 Shawnee, KS |
||||||||||
| 435456000 (3.8) $(3!)! \times 5! \times 7! \times 1$ Jason Cosentino, 7/12 Lawrence, KS |
||||||||||
| 512578125 (3.0) $15^7 \times 3$ Bill Holler, 1/12 Atchison, KS |
||||||||||
| 1220703132 (3.0) $5^{13} + 7$ Joseph Geraci, 9/11 Leawood, KS |
||||||||||
| 1838265625 (3.0) $35^{7-1}$ Chris Harris, 7/12 Overland Park, KS |
||||||||||
| 2176782336 (3.2) $3!^{7+5} \times 1$ Nick Evans, 6/12 Lawrence, KS |
||||||||||
| 4354560000 (4.0) $(3!)! \times 5! \times \dfrac{7!}{.1}$ Jason Cosentino, 7/12 Lawrence, KS |
||||||||||
| 6227020743 (3.2) $13! - 57$ Ryan McNeese, 6/12 Lenexa, KS |
||||||||||
| 6227020812 (3.2) $13! + 5 + 7$ Zech Rowe-Hayden, 4/12 Shawnee, KS |
||||||||||
| 6975757441 (3.0) $17^{5+3}$ Katie Guenther, 12/11 Olathe, KS |
||||||||||
| 22164361129 (3.0) $53^{7 - 1}$ Austin Marshall, 9/11 Shawnee, KS |
||||||||||
| 48261724457 (3.0) $137^5$ Katie Guenther, 12/11 Olathe, KS |
||||||||||
| 576650390625 (3.0) $15^{7+3}$ Katie Guenther, 12/11 Olathe, KS |
||||||||||
| 4001504141376 (3.4) $(5! + 3!)^{7 - 1}$ Marshall Bjelland, 7/12 Lawrence, KS |
||||||||||
| 23298085122481 (3.0) $13^{7+5}$ Katie Guenther, 12/11 Olathe, KS |
||||||||||
| 817215093984375 (3.0) $135^7$ Katie Guenther, 12/11 Olathe, KS |
||||||||||
| 11903142903693247611 (3.0) $531^7$ Zech Rowe-Hayden, 3/12 Shawnee, KS |
||||||||||
| googol (3.6) $.1^{-\left( \sqrt[.5]{7+3} \right)}$ Ralph Jeffords, 8/10 Centreville, VA |
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| googolplex (3.8) $(3+7)^{\sqrt[-5\%]{1\% \pm}}$ Ralph Jeffords, 8/10 Centreville, VA |
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