\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \)
Srinivasa Ramanujan (1887-1920) was a largely self-taught mathematician from India, some of whose results still inspire research today. Once, when ill in the hospital in England, he was visited by fellow mathematician G. H. Hardy (1877-1947), who later wrote:
I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."
Using one copy each of the digits 1, 7, 2, and 9, and any standard operations, create each of the positive integers. 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+).
801 (2.2) $\dfrac{72}{9\%} + 1$ Jonathan Frank, 4/22 Rye, NY |
802 (2.4) $\dfrac{7.\overline{9}}{1\%} + 2$ Steve Wilson, 6/22 Lawrence, KS |
803 (3.2) $\dfrac{9^2}{.1} - 7$ Steve Wilson, 6/22 Lawrence, KS |
804 (3.6) $((\sqrt{9})!)! + 7 \times 12$ Steve Wilson, 6/22 Lawrence, KS |
805 (2.2) $\dfrac{9 + 7.1}{2\%}$ Steve Wilson, 6/22 Lawrence, KS |
806 (4.2) $\dfrac{1.\overline{7}}{.\overline{2}\%} + (\sqrt{9})!$ Steve Wilson, 6/22 Lawrence, KS |
807 (3.4) $\dfrac{2^{\sqrt{9}}}{1\%} + 7$ Steve Wilson, 6/22 Lawrence, KS |
808 (4.0) $(.\overline{1}\%)^{-2}\pm - 9 + 7$ Steve Wilson, 6/22 Lawrence, KS |
809 (2.8) $\dfrac{1.\overline{7}}{.\overline{2}\%} + 9$ Steve Wilson, 6/22 Lawrence, KS |
810 (2.2) $(7 + 2) \times \dfrac{9}{.1}$ Steve Wilson, 6/22 Lawrence, KS |
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811 (3.6) $((\sqrt{7 + 2})!)! + 91$ Steve Wilson, 6/22 Lawrence, KS |
812 (3.2) $(7 - 1)! + 92$ Steve Wilson, 6/22 Lawrence, KS |
813 (3.2) $271 \times \sqrt{9}$ Steve Wilson, 6/22 Lawrence, KS |
814 (4.2) $(.\overline{1}\%)^{-2}\pm + 7 - \sqrt{9}$ Steve Wilson, 4/23 Lawrence, KS |
815 (2.6) $\dfrac{1 + 9 \times 7\%}{.2\%}$ Steve Wilson, 6/22 Lawrence, KS |
816 (4.2) $\dfrac{.9}{.\overline{1}\%} + (\sqrt{7 + 2})!$ Steve Wilson, 6/22 Lawrence, KS |
817 (3.2) $\dfrac{9^2}{.1} + 7$ Steve Wilson, 6/22 Lawrence, KS |
818 (4.2) $(.\overline{1}\%)^{-2}\pm + 7.\overline{9}$ Steve Wilson, 4/23 Lawrence, KS |
819 (2.0) $91 \times (7 + 2)$ Steve Wilson, 6/22 Lawrence, KS |
820 (2.6) $\dfrac{7 + 1.2}{.\overline{9}\%}$ Steve Wilson, 6/22 Lawrence, KS |
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821 (2.4) $\dfrac{92}{.\overline{1}} - 7$ Steve Wilson, 6/22 Lawrence, KS |
823 (3.0) $\dfrac{.9\overline{2}}{.\overline{1}\%} - 7$ Steve Wilson, 4/23 Lawrence, KS |
824 (2.8) $\dfrac{.9}{.\overline{1}\%} + 7 \times 2$ Steve Wilson, 6/22 Lawrence, KS |
826 (4.0) $(.\overline{1}\%)^{-2}\pm + 9 + 7$ Steve Wilson, 4/23 Lawrence, KS |
828 (2.2) $\dfrac{9}{1\%} - 72$ Jonathan Frank, 2/22 Rye, NY |
830 (2.4) $\dfrac{2 + 9 \times .7}{1\%}$ Steve Wilson, 6/22 Lawrence, KS |
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831 (3.4) $7 \times \left( \dfrac{1}{.2} \right)! - 9$ Steve Wilson, 4/23 Lawrence, KS |
832 (2.4) $\dfrac{9 - .7}{1\%} + 2$ Steve Wilson, 6/22 Lawrence, KS |
834 (3.8) $7 \times \left( \dfrac{1}{.2} \right)! - (\sqrt{9})!$ Steve Wilson, 4/23 Lawrence, KS |
835 (2.4) $\dfrac{92}{.\overline{1}} + 7$ Steve Wilson, 6/22 Lawrence, KS |
837 (2.8) $\dfrac{.9}{.\overline{1}\%} + 27$ Steve Wilson, 6/22 Lawrence, KS |
838 (3.6) $\dfrac{7!}{(\sqrt{9})!} - 2 \times 1$ Steve Wilson, 4/23 Lawrence, KS |
839 (3.4) $\dfrac{7!}{(\sqrt[2]{9})!} - 1$ Steve Wilson, 4/23 Lawrence, KS |
840 (2.6) $\dfrac{7 \times 1.2}{.\overline{9}\%}$ Steve Wilson, 6/22 Lawrence, KS |
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841 (2.2) $\dfrac{17}{2\%} - 9$ Jonathan Frank, 4/22 Rye, NY |
842 (3.6) $\dfrac{7!}{(\sqrt{9})!} + 2 \times 1$ Steve Wilson, 4/23 Lawrence, KS |
843 (3.4) $\dfrac{1}{2\pmf} + 7^{\sqrt{9}}$ Steve Wilson, 6/22 Lawrence, KS |
844 (3.6) $\dfrac{17}{2\%} - (\sqrt{9})!$ Jonathan Frank, 2/22 Rye, NY |
845 (3.0) $\dfrac{.9}{.\overline{1}\%} + \dfrac{7}{.2}$ Steve Wilson, 6/22 Lawrence, KS |
846 (3.8) $7 \times \left( \dfrac{1}{.2} \right)! + (\sqrt{9})!$ Steve Wilson, 4/23 Lawrence, KS |
847 (3.4) $\dfrac{17}{2\%} - \sqrt{9}$ Jonathan Frank, 8/21 Rye, NY |
848 (2.6) $\dfrac{1.9}{.\overline{2}\%} - 7$ Steve Wilson, 6/22 Lawrence, KS |
849 (2.6) $\dfrac{17}{2\%} - .\overline{9}$ Steve Wilson, 6/22 Lawrence, KS |
850 (2.2) $\dfrac{9 + 7 + 1}{2\%}$ Steve Wilson, 6/22 Lawrence, KS |
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851 (2.6) $\dfrac{17}{2\%} + .\overline{9}$ Steve Wilson, 6/22 Lawrence, KS |
852 (3.6) $\dfrac{7!}{(\sqrt{9})!} + 12$ Steve Wilson, 4/23 Lawrence, KS |
853 (3.4) $\dfrac{17}{2\%} + \sqrt{9}$ Jonathan Frank, 5/22 Rye, NY |
855 (2.4) $\dfrac{97 - 2}{.\overline{1}}$ Steve Wilson, 6/22 Lawrence, KS |
856 (3.6) $\dfrac{17}{2\%} + (\sqrt{9})!$ Jonathan Frank, 5/22 Rye, NY |
857 (3.6) $\sqrt[ \sqrt{.\overline{1}}]{9} + 2^7$ Steve Wilson, 6/22 Lawrence, KS |
859 (2.2) $\dfrac{17}{2\%} + 9$ Jonathan Frank, 5/22 Rye, NY |
860 (3.8) $\dfrac{7!}{(\sqrt{9})!} + \dfrac{2}{.1}$ Steve Wilson, 4/23 Lawrence, KS |
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861 (3.6) $\dfrac{7!}{(\sqrt{9})!} + 21$ Steve Wilson, 4/23 Lawrence, KS |
862 (2.6) $\dfrac{1.9}{.\overline{2}\%} + 7$ Steve Wilson, 6/22 Lawrence, KS |
865 (2.4) $\dfrac{9}{1\%} - \dfrac{7}{.2}$ Steve Wilson, 6/22 Lawrence, KS |
866 (2.4) $\dfrac{7}{(1 - .2)\%} - 9$ Steve Wilson, 6/22 Lawrence, KS |
867 (3.2) $17^2 \times \sqrt{9}$ Hannah Maleki, 11/16 Overland Park, KS |
869 (3.8) $\dfrac{7}{(1 - .2)\%} - (\sqrt{9})!$ Steve Wilson, 6/22 Lawrence, KS |
870 (3.6) $\dfrac{2^{\sqrt{9}} + .7}{1\%}$ Steve Wilson, 6/22 Lawrence, KS |
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871 (2.4) $\dfrac{97}{.\overline{1}} - 2$ Steve Wilson, 6/22 Lawrence, KS |
872 (3.6) $\dfrac{7}{(1 - .2)\%} - \sqrt{9}$ Steve Wilson, 6/22 Lawrence, KS |
873 (2.2) $\dfrac{9}{1\%} - 27$ Jonathan Frank, 5/22 Rye, NY |
874 (2.8) $\dfrac{7}{(1 - .2)\%} - .\overline{9}$ Steve Wilson, 6/22 Lawrence, KS |
875 (2.4) $\dfrac{97}{.\overline{1}} + 2$ Steve Wilson, 6/22 Lawrence, KS |
876 (2.8) $\dfrac{7}{(1 - .2)\%} + .\overline{9}$ Steve Wilson, 6/22 Lawrence, KS |
877 (2.6) $\dfrac{.7}{(9 - 1)\%\%} + 2$ Steve Wilson, 6/22 Lawrence, KS |
878 (3.6) $\dfrac{7}{(1 - .2)\%} + \sqrt{9}$ Steve Wilson, 6/22 Lawrence, KS |
880 (2.4) $\dfrac{7 + 9 \times .2}{1\%}$ Steve Wilson, 6/22 Lawrence, KS |
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881 (3.8) $\dfrac{7}{(1 - .2)\%} - (\sqrt{9})!$ Steve Wilson, 6/22 Lawrence, KS |
882 (2.8) $\dfrac{.9}{.\overline{1}\%} + 72$ Steve Wilson, 6/22 Lawrence, KS |
884 (2.4) $\dfrac{7}{(1 - .2)\%} + 9$ Steve Wilson, 6/22 Lawrence, KS |
886 (2.2) $\dfrac{9}{1\%} - 7 \times 2$ Jonathan Frank, 3/22 Rye, NY |
887 (2.4) $\dfrac{9 - .2}{1\%} + 7$ Steve Wilson, 6/22 Lawrence, KS |
889 (4.0) $(.\overline{1}\%)^{-2}\pm + 79$ Steve Wilson, 6/22 Lawrence, KS |
890 (2.8) $\dfrac{1.9\overline{7}}{.\overline{2}\%}$ Steve Wilson, 6/22 Lawrence, KS |
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891 (2.2) $\dfrac{9}{1\%} - 7 - 2$ Jonathan Frank, 3/22 Rye, NY |
893 (2.2) $\dfrac{9}{(2 - 1)\%} - 7$ Steve Wilson, 6/22 Lawrence, KS |
894 (3.6) $\dfrac{9}{1\%} - (\sqrt{7 + 2})!$ Steve Wilson, 6/22 Lawrence, KS |
895 (2.2) $\dfrac{179}{.2}$ Jonathan Frank, 3/22 Rye, NY |
897 (3.4) $\dfrac{9}{1\%} - \sqrt{7 + 2}$ Jonathan Frank, 5/22 Rye, NY |
898 (3.2) $\dfrac{9}{1^7 \%} - 2$ Steve Wilson, 6/22 Lawrence, KS |
899 (2.6) $\dfrac{7 + 2}{1\%} - .\overline{9}$ Steve Wilson, 6/22 Lawrence, KS |
900 (2.2) $\dfrac{2}{\left(1 - \dfrac79 \right)\%}$ Steve Wilson, 6/22 Lawrence, KS |
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901 (2.6) $\dfrac{7 + 2}{1\%} + .\overline{9}$ Steve Wilson, 6/22 Lawrence, KS |
902 (3.2) $\dfrac{9}{1^7 \%} + 2$ Steve Wilson, 6/22 Lawrence, KS |
903 (2.0) $129 \times 7$ Bing Guo, 11/13 Lawrence, KS |
905 (2.0) $912 - 7$ Emily Boudville, 6/13 Perth, Western Australia |
906 (3.6) $\dfrac{7 + 2}{1\%} + (\sqrt{9})!$ Steve Wilson, 6/22 Lawrence, KS |
907 (2.2) $\dfrac{9}{(2 - 1)\%} + 7$ Steve Wilson, 6/22 Lawrence, KS |
908 (3.8) $(.1)^{-7} \%\% - 92$ Steve Wilson, 6/22 Lawrence, KS |
909 (2.2) $\dfrac{9}{1\%} + 7 + 2$ Jonathan Frank, 4/22 Rye, NY |
910 (2.6) $\dfrac{7 + 2.1}{.\overline{9}\%}$ Steve Wilson, 6/22 Lawrence, KS |
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913 (2.2) $\dfrac{9.2}{1\%} - 7$ Steve Wilson, 6/22 Lawrence, KS |
914 (2.0) $921 - 7$ Bing Guo, 10/13 Lawrence, KS |
915 (2.0) $917 - 2$ Steve Wilson, 6/22 Lawrence, KS |
917 (3.4) $7! \times .2 - 91$ Steve Wilson, 6/22 Lawrence, KS |
918 (3.6) $7! \times .2 - \dfrac{9}{.1}$ Steve Wilson, 6/22 Lawrence, KS |
919 (2.0) $912 + 7$ Steve Wilson, 8/13 Lawrence, KS |
920 (3.2) $\dfrac{9.2}{1^7 \%}$ Steve Wilson, 6/22 Lawrence, KS |
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921 (3.6) $\sqrt{ (1\pm) ^{-2} \phantom8} - 79$ Steve Wilson, 6/22 Lawrence, KS |
923 (2.8) $\dfrac{9.\overline{2}}{1\%} + .\overline{7}$ Steve Wilson, 6/22 Lawrence, KS |
925 (4.0) $\dfrac{((\sqrt{9})!)! + 1}{.\overline{7}} - 2$ Steve Wilson, 4/23 Lawrence, KS |
926 (2.0) $927 - 1$ Giuseppe Favacchio, 4/13 Scicli, Italy |
927 (2.0) $927 \times 1$ Sophie Fischer & Violet McCabe, 4/13 New York, NY |
928 (2.0) $927 + 1$ Giuseppe Favacchio, 4/13 Scicli, Italy |
929 (4.0) $\dfrac{((\sqrt{9})!)! + 1}{.\overline{7}} + 2$ Steve Wilson, 4/23 Lawrence, KS |
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931 (3.0) $7^2 \times 19$ Hyun Cheong, 2/14 Overland Park, KS |
935 (2.4) $\dfrac{9 + \dfrac{.7}{2}}{1\%}$ Steve Wilson, 6/22 Lawrence, KS |
937 (3.6) $\sqrt{ (1 \pm)^{-2} \phantom8} - 9 \times 7$ Steve Wilson, 6/22 Lawrence, KS |
938 (3.8) $\dfrac{.9}{.\overline{1}\%} + 2^7$ Steve Wilson, 6/22 Lawrence, KS |
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943 (2.2) $\dfrac{19}{2\%} - 7$ Jonathan Frank, 6/22 Rye, NY |
945 (2.6) $\dfrac{9.1 - 7}{.\overline{2}\%}$ Steve Wilson, 6/22 Lawrence, KS |
948 (2.0) $79 \times 12$ Allison Layne-Mulhern, 10/13 Leawood, KS |
949 (3.2) $\dfrac{9}{1\%} + 7^2$ Jonathan Frank, 10/21 Rye, NY |
950 (2.2) $\dfrac{97 - 2}{.1}$ Steve Wilson, 6/22 Lawrence, KS |
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951 (3.6) $\dfrac{.\overline{9}}{1\pmf} - 7^2$ Steve Wilson, 6/22 Lawrence, KS |
957 (2.2) $\dfrac{19}{2\%} + 7$ Jonathan Frank, 6/22 Rye, NY |
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961 (3.2) $\sqrt[.1]{2} - 7 \times 9$ Steve Wilson, 6/22 Lawrence, KS |
963 (3.4) $\left( (.1)^{-2} + 7 \right) \times 9$ Steve Wilson, 6/22 Lawrence, KS |
965 (2.8) $\dfrac{1.\overline{9} - 7\%}{.2\%}$ Steve Wilson, 6/22 Lawrence, KS |
968 (2.2) $\dfrac{97}{.1} - 2$ Margaret Wilson, 4/13 Atlanta, GA |
969 (2.0) $971 - 2$ D.J. Demjanik, 12/13 Shawnee, KS |
970 (2.2) $\dfrac{9.7}{(2 - 1)\%}$ Steve Wilson, 6/22 Lawrence, KS |
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971 (2.0) $972 - 1$ Edie Abraham-Macht, 4/13 Brooklyn, NY |
972 (2.0) $\dfrac{972}{1}$ Edie Abraham-Macht, 4/13 Brooklyn, NY |
973 (2.0) $972 + 1$ Giuseppe Favacchio, 4/13 Scicli, Italy |
978 (2.8) $\dfrac{9.\overline{7}}{1\%} + .\overline{2}$ Steve Wilson, 6/22 Lawrence, KS |
979 (3.8) $\sqrt{ (1\pm)^{-2} \phantom8} - 7 \times \sqrt{9}$ Steve Wilson, 6/22 Lawrence, KS |
980 (3.8) $\dfrac{.\overline{9} - 2\%}{1^7 \pmf}$ Steve Wilson, 4/23 Lawrence, KS |
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982 (3.8) $(.1)^{-7} \%\% - 9 \times 2$ Steve Wilson, 6/22 Lawrence, KS |
983 (2.8) $\dfrac{2 - .9}{.\overline{1}\%} - 7$ Steve Wilson, 6/22 Lawrence, KS |
984 (3.6) $\sqrt{ (1\pm)^{-2} \phantom8} - 7 - 9$ Steve Wilson, 6/22 Lawrence, KS |
985 (2.2) $\dfrac{197}{.2}$ Jonathan Frank, 6/22 Rye, NY |
986 (2.8) $\dfrac{.\overline{9}}{.1\%} - 2 \times 7$ Steve Wilson, 6/22 Lawrence, KS |
987 (3.0) $\dfrac{.\overline{9} - 2\%}{.1\%} + 7$ Steve Wilson, 4/23 Lawrence, KS |
989 (3.4) $7! \times .2 - 19$ Steve Wilson, 6/22 Lawrence, KS |
990 (2.2) $\dfrac{7.9 + 2}{1\%}$ Steve Wilson, 6/22 Lawrence, KS |
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991 (2.8) $\dfrac{.\overline{9}}{.1\%} - 7 - 2$ Steve Wilson, 6/22 Lawrence, KS |
992 (3.8) $\sqrt{ (1\pm)^{-2} \phantom8} - 7.\overline{9}$ Steve Wilson, 6/22 Lawrence, KS |
993 (2.6) $\dfrac{1.\overline{9}}{.2\%} - 7$ Steve Wilson, 6/22 Lawrence, KS |
994 (4.0) $\sqrt{ (1\pm)^{-2} \phantom8} - 7 + .\overline{9}$ Steve Wilson, 6/22 Lawrence, KS |
995 (2.6) $\dfrac{9 - 7 - 1\%}{.2\%}$ Steve Wilson, 6/22 Lawrence, KS |
996 (3.8) $\sqrt{ (1\pm)^{-2} \phantom8} - 7 + \sqrt{9}$ Steve Wilson, 6/22 Lawrence, KS |
997 (2.8) $\dfrac{2 - .9}{.\overline{1}\%} + 7$ Steve Wilson, 6/22 Lawrence, KS |
998 (3.4) $7! \times .2 - 9 - 1$ Steve Wilson, 6/22 Lawrence, KS |
999 (2.4) $\dfrac{7 + 2}{.9\%} - 1$ Steve Wilson, 6/22 Lawrence, KS |
1000 (2.4) $\dfrac{7 + 2 \times 1}{.9\%}$ Steve Wilson, 6/22 Lawrence, KS |
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1024 (3.0) $2^7 \times (9 - 1)$ Gregory Bayer, 3/20 Sydney, NSW |
1029 (3.2) $7^{2+1} \times \sqrt{9}$ Gregory Bayer, 3/20 Sydney, NSW |
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1079 (3.2) $(7 - 2)! \times 9 - 1$ Gregory Bayer, 11/19 Sydney, NSW |
1080 (3.4) $(7 - 1)! \times \dfrac{ \sqrt{9}}{2}$ Gregory Bayer, 3/20 Sydney, New South Wales |
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1081 (3.2) $(7 - 2)! \times 9 + 1$ Jonathan Frank, 5/21 Rye, NY |
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1119 (3.2) $7! \times \dfrac29 - 1$ Ashlyn Howatson, 4/13 Perth, Western Australia |
1120 (3.2) $7! \times \dfrac29 \times 1$ Parker Thomsen, 5/15 Lenexa, KS |
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1121 (3.2) $7! \times \dfrac29 + 1$ Parker Thomsen, 5/15 Lenexa, KS |
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1143 (2.0) $127 \times 9$ Bing Guo, 11/13 Lawrence, KS |
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1151 (3.0) $2^7 \times 9 - 1$ Sierra Henricks, 4/14 Olathe, KS |
1152 (3.0) $2^7 \times 9^1$ Hannah Maleki, 9/16 Overland Park, KS |
1153 (3.0) $2^7 \times 9 + 1$ Iris Behm, 1/14 Lenexa, KS |
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1164 (2.0) $97 \times 12$ Allison Layne-Mulhern, 11/13 Leawood, KS |
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1176 (3.4) $( \sqrt{9} + 1)! \times 7^2$ Gregory Bayer, 3/20 Sydney, NSW |
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1199 (3.6) $\dfrac{72}{(\sqrt{9})!\%} - 1$ Jonathan Frank, 6/22 Rye, NY |
1200 (3.6) $\dfrac{72}{(\sqrt{9})!\%} \times 1$ Jonathan Frank, 6/22 Rye, NY |
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1201 (3.6) $\dfrac{72}{(\sqrt{9})!\%} + 1$ Jonathan Frank, 6/22 Rye, NY |
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1212 (3.2) $\dfrac{7}{1\%} + 2^9$ Jonathan Frank, 6/22 Rye, NY |
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1260 (2.2) $\dfrac{9 \times 2 \times 7}{.1}$ Margaret Wilson, 4/13 Atlanta, GA |
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1274 (2.0) $91 \times 7 \times 2$ Allison Layne-Mulhern, 10/13 Leawood, KS |
1279 (2.0) $1279$ Ethan L., 4/13 New York, NY |
1280 (3.0) $2^7 \times (9 + 1)$ Gregory Bayer, 4/20 Sydney, NSW |
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1297 (2.0) $1297$ Garrett Donnelly, 5/13 Atlanta, GA |
1298 (2.2) $\dfrac{91}{7\%} - 2$ Jonathan Frank, 6/22 Rye, NY |
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1302 (2.2) $\dfrac{91}{7\%} + 2$ Jonathan Frank, 6/22 Rye, NY |
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1323 (2.0) $7 \times 9 \times 21$ Kendra Stindt, 8/13 Topeka, KS |
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1344 (2.0) $192 \times 7$ Echo Anderson, 11/13 Lenexa, KS |
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1368 (2.0) $72 \times 19$ Justin Keck, 3/17 Lawrence, KS |
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1377 (3.0) $9^2 \times 17$ Deborah Kangas, 1/14 Lenexa, KS |
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1391 (3.2) $2 \times \dfrac{7}{1\%} - 9$ Jonathan Frank, 8/21 Rye, NY |
1397 (3.4) $2 \times \dfrac{7}{1\%} - \sqrt{9}$ Jonathan Frank, 8/21 Rye, NY |
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1403 (3.4) $2 \times \dfrac{7}{1\%} + \sqrt{9}$ Jonathan Frank, 8/21 Rye, NY |
1409 (3.2) $2 \times \dfrac{7}{1\%} + 9$ Jonathan Frank, 8/21 Rye, NY |
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1429 (3.4) $\dfrac{\sqrt{9}}{2\pmf} - 71$ Jonathan Frank, 7/22 Rye, NY |
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1438 (2.0) $719 \times 2$ D.J. Demjanik, 12/13 Shawnee, KS |
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1483 (3.4) $\dfrac{\sqrt{9}}{2\pmf} - 17$ Jonathan Frank, 7/22 Rye, NY |
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1492 (3.4) $\dfrac{\sqrt{9}}{2\pmf} - 7 - 1$ Jonathan Frank, 7/22 Rye, NY |
1493 (3.4) $\dfrac{\sqrt{9}}{2\pmf} - 7 \times 1$ Jonathan Frank, 7/22 Rye, NY |
1494 (3.4) $\dfrac{\sqrt{9}}{2\pmf} - 7 + 1$ Jonathan Frank, 7/22 Rye, NY |
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1506 (3.4) $\dfrac{\sqrt{9}}{2\pmf} + 7 - 1$ Jonathan Frank, 7/22 Rye, NY |
1507 (3.4) $\dfrac{\sqrt{9}}{2\pmf} + 7 \times 1$ Jonathan Frank, 7/22 Rye, NY |
1508 (3.4) $\dfrac{\sqrt{9}}{2\pmf} + 7 + 1$ Jonathan Frank, 7/22 Rye, NY |
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1517 (3.4) $\dfrac{\sqrt{9}}{2\pmf} + 17$ Jonathan Frank, 7/22 Rye, NY |
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1548 (2.0) $172 \times 9$ Allison Layne-Mulhern, 11/13 Leawood, KS |
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1564 (2.0) $17 \times 92$ Echo Anderson, 12/13 Lenexa, KS |
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1571 (3.4) $\dfrac{\sqrt{9}}{2\pmf} + 71$ Jonathan Frank, 7/22 Rye, NY |
1580 (2.2) $79 \times \dfrac{2}{.1}$ D.J. Demjanik, 9/13 Shawnee, KS |
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1582 (2.0) $791 \times 2$ D.J. Demjanik, 12/13 Shawnee, KS |
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1659 (2.0) $79 \times 21$ D.J. Demjanik, 9/13 Shawnee, KS |
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1680 (3.2) $\dfrac{7!}{9} \times (2 + 1)$ Jonathan Frank, 7/21 Rye, NY |
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1729 (2.0) $1729$ Scott Thibodeaux, 4/13 Denver, CO |
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1792 (2.0) $1792$ Sara Fridovich-Keil, 6/13 Decatur, GA |
1793 (2.2) $\dfrac{9}{1\%} \times 2 - 7$ Jonathan Frank, 9/21 Rye, NY |
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1807 (2.2) $\dfrac{9}{1\%} \times 2 + 7$ Jonathan Frank, 9/21 Rye, NY |
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1834 (2.0) $917 \times 2$ D.J. Demjanik, 12/13 Shawnee, KS |
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1903 (2.4) $\dfrac{2}{.1\%} - 97$ Jonathan Frank, 6/22 Rye, NY |
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1921 (2.4) $\dfrac{2}{.1\%} - 79$ Jonathan Frank, 6/22 Rye, NY |
1927 (2.0) $1927$ Sara Fridovich-Keil, 6/13 Decatur, GA |
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1937 (2.4) $\dfrac{2}{.1\%} - 7 \times 9$ Jonathan Frank, 6/22 Rye, NY |
1940 (2.2) $\dfrac{97}{.1} \times 2$ Margaret Wilson, 4/13 Atlanta, GA |
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1942 (2.0) $971 \times 2$ Kendra Stindt, 11/13 Topeka, KS |
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1953 (2.0) $217 \times 9$ Alicia Kasper, 10/13 Cranbury, NJ |
1958 (3.6) $\dfrac{2}{1\pmf} - 7 \times (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
1960 (3.4) $\dfrac{7}{1\pmf} - (9 - 2)!$ Jonathan Frank, 6/22 Rye, NY |
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1972 (2.0) $1972$ Sara Fridovich-Keil, 6/13 Decatur, GA |
1979 (3.4) $\dfrac{2}{1\pmf} - 7 \times \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
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1984 (2.4) $\dfrac{2}{.1\%} - 7 - 9$ Jonathan Frank, 6/22 Rye, NY |
1987 (3.6) $\dfrac{2}{1\pmf} - 7 - (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
1990 (3.4) $\dfrac{2}{1\pmf} - 7 - \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
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1996 (3.4) $\dfrac{2}{1\pmf} - 7 + \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
1998 (2.4) $\dfrac{2}{.1\%} + 7 - 9$ Jonathan Frank, 6/22 Rye, NY |
1999 (3.6) $\dfrac{2}{1\pmf} - 7 + (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
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2001 (3.6) $\dfrac{2}{1\pmf} + 7 - (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
2002 (2.4) $\dfrac{2}{.1\%} - 7 + 9$ Jonathan Frank, 6/22 Rye, NY |
2004 (3.4) $\dfrac{2}{1\pmf} + 7 - \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
2010 (3.4) $\dfrac{2}{1\pmf} + 7 + \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
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2013 (3.6) $\dfrac{2}{1\pmf} + 7 + (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
2016 (2.4) $\dfrac{2}{.1\%} + 7 + 9$ Jonathan Frank, 6/22 Rye, NY |
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2021 (3.4) $\dfrac{2}{1\pmf} + 7 \times \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
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2037 (2.0) $97 \times 21$ D.J. Demjanik, 8/13 Shawnee, KS |
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2042 (3.6) $\dfrac{2}{1\pmf} + 7 \times (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
2048 (3.2) $2^{7 + 1 + \sqrt{9}}$ Jonathan Frank, 5/21 Rye, NY |
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2059 (2.0) $29 \times 71$ Kendra Stindt, 8/13 Topeka, KS |
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2063 (2.4) $\dfrac{2}{.1\%} + 7 \times 9$ Jonathan Frank, 6/22 Rye, NY |
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2079 (2.4) $\dfrac{2}{.1\%} + 79$ Jonathan Frank, 6/22 Rye, NY |
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2097 (2.4) $\dfrac{2}{.1\%} + 97$ Jonathan Frank, 6/22 Rye, NY |
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2186 (3.0) $\sqrt[2]{9^7} - 1$ Steve Wilson, 12/20 Lawrence, KS |
2187 (3.0) $\sqrt[2]{9^7} \times 1$ Steve Wilson, 9/20 Lawrence, KS |
2186 (3.0) $\sqrt[2]{9^7} + 1$ Steve Wilson, 12/20 Lawrence, KS |
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2399 (3.4) $\dfrac{72}{(\sqrt{9})\%} - 1$ Jonathan Frank, 6/22 Rye, NY |
2400 (3.4) $\dfrac{72}{(\sqrt{9})\%} \times 1$ Jonathan Frank, 6/22 Rye, NY |
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2401 (3.0) $7^{(9-1)/2}$ Gregory Bayer, 11/19 Sydney, NSW |
2403 (3.2) $7^{\sqrt{9} + 1} + 2$ Gregory Bayer, 11/20 Sydney, NSW |
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2430 (2.2) $\dfrac{9}{1\%} \times 2.7$ Jonathan Frank, 9/21 Rye, NY |
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2432 (3.0) $2^7 \times 19$ Hannah Maleki, 9/16 Overland Park, KS |
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2457 (2.0) $27 \times 91$ Echo Anderson, 12/13 Lenexa, KS |
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2511 (2.4) $\dfrac{279}{.\overline{1}}$ Jonathan Frank, 12/21 Rye, NY |
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2527 (3.0) $19^2 \times 7$ Justin Keck, 3/17 Lawrence, KS |
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2550 (3.4) $\dfrac{17}{2\%} \times \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
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2592 (3.4) $\dfrac{9!}{7 \times 2} \times .1$ Parker Thomsen, 5/15 Lenexa, KS |
2600 (2.2) $\dfrac{91}{7\%} \times 2$ Jonathan Frank, 6/22 Rye, NY |
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2601 (3.0) $17^2 \times 9$ Sierra Henricks, 2/14 Olathe, KS |
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2673 (2.4) $\dfrac{297}{.\overline{1}}$ Jonathan Frank, 12/21 Rye, NY |
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2691 (2.2) $\dfrac{27}{1\%} - 9$ Jonathan Frank, 6/22 Rye, NY |
2694 (3.6) $\dfrac{27}{1\%} - (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
2697 (3.4) $\dfrac{27}{1\%} - \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
2700 (3.4) $\dfrac{9}{1\%} \times \sqrt{7 + 2}$ Jonathan Frank, 12/21 Rye, NY |
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2703 (3.4) $\dfrac{27}{1\%} + \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
2706 (3.6) $\dfrac{27}{1\%} + (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
2709 (2.2) $\dfrac{27}{1\%} + 9$ Jonathan Frank, 6/22 Rye, NY |
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2719 (2.0) $2719$ Sara Fridovich-Keil, 7/13 Decatur, GA |
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2790 (2.2) $\dfrac{279}{.1}$ Jonathan Frank, 6/22 Rye, NY |
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2791 (2.0) $2791$ Sara Fridovich-Keil, 7/13 Decatur, GA |
2800 (3.4) $\dfrac{7!}{9 \times .2 \times 1}$ Susan Vongphrachanh, 4/17 Kansas City, KS |
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2880 (3.2) $\dfrac{(9-1)!}{2 \times 7}$ Gregory Bayer, 11/19 Sydney, NSW |
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2893 (2.2) $\dfrac{29}{1\%} - 7$ Jonathan Frank, 6/22 Rye, NY |
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2907 (2.4) $\dfrac{29}{1\%} + 7$ Jonathan Frank, 6/22 Rye, NY |
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2917 (2.0) $2917$ Sara Fridovich-Keil, 7/13 Decatur, GA |
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2970 (2.2) $\dfrac{297}{.1}$ Jonathan Frank, 6/22 Rye, NY |
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2971 (2.0) $2971$ Sara Fridovich-Keil, 7/13 Decatur, GA |
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3031 (3.4) $7! - \dfrac{2}{1\pmf} - 9$ Jonathan Frank, 6/22 Rye, NY |
3034 (3.8) $7! - \dfrac{2}{1\pmf} - (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
3037 (3.6) $7! - \dfrac{2}{1\pmf} - \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
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3043 (3.6) $7! - \dfrac{2}{1\pmf} + \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
3046 (3.8) $7! - \dfrac{2}{1\pmf} + (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
3049 (3.4) $7! - \dfrac{2}{1\pmf} + 9$ Jonathan Frank, 6/22 Rye, NY |
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3087 (3.0) $7^{2+1} \times 9$ Gregory Bayer, 4/20 Sydney, NSW |
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3150 (3.2) $\dfrac{7}{1\%} \times \dfrac92$ Jonathan Frank, 7/21 Rye, NY |
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3185 (2.2) $91 \times \dfrac{7}{.2}$ Echo Anderson, 11/13 Lenexa, KS |
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3195 (2.2) $71 \times \dfrac{9}{.2}$ Echo Anderson, 11/13 Lenexa, KS |
||||||||||
3240 (3.2) $(7 - 1)! \times \dfrac92$ Gregory Bayer, 5/20 Sydney, New South Wales |
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3241 (3.2) $91^2 - 7!$ Susan Vongphrachanh, 4/17 Kansas City, KS |
||||||||||
3541 (2.2) $\dfrac{71}{2\%} - 9$ Jonathan Frank, 6/22 Rye, NY |
3544 (3.6) $\dfrac{71}{2\%} - (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
3541 (3.4) $\dfrac{71}{2\%} - \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
||||||||
3553 (3.4) $\dfrac{71}{2\%} + \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
3556 (3.6) $\dfrac{71}{2\%} + (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
3559 (2.2) $\dfrac{71}{2\%} + 9$ Jonathan Frank, 6/22 Rye, NY |
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3583 (3.0) $2^9 \times 7 - 1$ Sierra Henricks, 1/14 Olathe, KS |
3584 (3.0) $2^9 \times 7 \times 1$ D.J. Demjanik, 8/13 Shawnee, KS |
3585 (3.0) $2^9 \times 7 + 1$ Sierra Henricks, 4/14 Olathe, KS |
||||||||
3595 (2.2) $\dfrac{719}{.2}$ Jonathan Frank, 6/22 Rye, NY |
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3844 (3.0) $(7 \times 9 - 1)^2$ Steve Wilson, 9/20 Lawrence, KS |
||||||||||
3949 (2.2) $\dfrac{79}{2\%} - 1$ David Anderson, 1/14 Olathe, KS |
3950 (2.2) $\dfrac{79}{2\%} \times 1$ David Anderson, 1/14 Olathe, KS |
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3951 (2.2) $\dfrac{79}{2\%} + 1$ Alyssa Trembly, 1/14 Spring Hill, KS |
3955 (2.2) $\dfrac{791}{.2}$ Jonathan Frank, 6/22 Rye, NY |
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3968 (3.0) $(9 \times 7)^2 - 1$ Huntly Cooper, 4/13 New York, NY |
3969 (3.0) $(9 \times 7)^2 \times 1$ Julia B., 7/13 Brooklyn, NY |
3970 (3.0) $(9 \times 7)^2 + 1$ Sierra Henricks, 3/14 Olathe, KS |
||||||||
4096 (3.0) $2^{19-7}$ Hyun Cheong, 3/14 Overland Park, KS |
||||||||||
4160 (3.4) $\dfrac{92}{1\%} - 7!$ Jonathan Frank, 6/22 Rye, NY |
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4340 (3.4) $(9 - 2)! - \dfrac{7}{1\%}$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
4459 (3.0) $7^2 \times 91$ Sierra Henricks, 1/14 Olathe, KS |
||||||||||
4500 (2.2) $\dfrac{9}{1\%} \times (7 - 2)$ Jonathan Frank, 9/21 Rye, NY |
||||||||||
4543 (2.2) $\dfrac{91}{2\%} - 7$ David Anderson, 2/14 Olathe, KS |
||||||||||
4557 (2.2) $\dfrac{91}{2\%} + 7$ David Anderson, 2/14 Olathe, KS |
||||||||||
4585 (2.2) $\dfrac{917}{.2}$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
4679 (3.2) $7! - 19^2$ Susan Vongphrachanh, 4/17 Kansas City, KS |
||||||||||
4849 (2.2) $\dfrac{97}{2\%} - 1$ David Anderson, 1/14 Olathe, KS |
4850 (2.2) $\dfrac{97}{2\%} \times 1$ David Anderson, 1/14 Olathe, KS |
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4851 (2.2) $\dfrac{97}{2\%} + 1$ Alyssa Trembly, 1/14 Spring Hill, KS |
4855 (2.2) $\dfrac{971}{.2}$ Jonathan Frank, 6/22 Rye, NY |
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4911 (3.2) $7! - 129$ Gregory Bayer, 11/19 Sydney, NSW |
||||||||||
4969 (3.2) $(9 - 2)! - 71$ Gregory Bayer, 7/20 Sydney, NSW |
||||||||||
5021 (3.2) $7! - 9 \times 2 - 1$ Jonathan Frank, 10/21 Rye, NY |
5022 (3.2) $7! - 9 \times 2 \times 1$ Jonathan Frank, 10/21 Rye, NY |
5023 (3.2) $(9 - 2)! - 17$ Gregory Bayer, 7/20 Sydney, NSW |
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5032 (3.0) $71^2 - 9$ Sierra Henricks, 3/14 Olathe, KS |
5033 (3.2) $(9 - 2)! - \dfrac71$ Gregory Bayer, 7/20 Sydney, NSW |
5034 (3.2) $1 + 7! + 2 - 9$ Adam Shafton, 4/16 Overland Park, KS |
5038 (3.2) $71^2 - \sqrt{9}$ Jonathan Frank, 10/21 Rye, NY |
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5044 (3.2) $71^2 + \sqrt{9}$ Jonathan Frank, 10/21 Rye, NY |
5046 (3.2) $(9 - 2)! + 7 - 1$ Gregory Bayer, 7/20 Sydney, NSW |
5047 (3.2) $7! + 9 - 2 \times 1$ Agnieszka Hajnas, 5/13 Kansas City, MO |
5050 (3.0) $71^2 + 9$ Sierra Henricks, 2/14 Olathe, KS |
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5121 (3.2) $7! + 1 \times 9^2$ Hannah Maleki, 9/16 Overland Park, KS |
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5183 (3.4) $\left( \dfrac{9!}{7!} \right)^2 - 1$ Jonathan Frank, 7/21 Rye, NY |
5184 (3.4) $\left( \dfrac{9!}{7!} \right)^2 \times 1$ Jonathan Frank, 7/21 Rye, NY |
5185 (3.4) $\left( \dfrac{9!}{7!} \right)^2 + 1$ Jonathan Frank, 7/21 Rye, NY |
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5670 (3.2) $\dfrac{9!}{(1 + 7)^2}$ Greg Bayer, 8/19 Sydney, New South Wales |
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5751 (3.0) $9^2 \times 71$ Kendra Stindt, 11/13 Topeka, KS |
5760 (3.4) $\dfrac{(9 - 1)!}{\sqrt{7^2}}$ Gregory Bayer, 5/20 Sydney, New South Wales |
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5961 (3.2) $7! + 921$ Susan Vongphrachanh, 4/17 Kansas City, KS |
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6084 (3.0) $(79 - 1)^2$ Gregory Bayer, 3/22 Sydney, New South Wales |
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6240 (3.0) $79^2 - 1$ Sierra Henricks, 2/14 Olathe, KS |
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6241 (3.0) $79^2 \times 1$ Jonathan Frank, 12/21 Rye, NY |
6242 (3.0) $79^2 + 1$ Sierra Henricks, 3/14 Olathe, KS |
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6384 (2.0) $912 \times 7$ Bing Guo, 11/13 Lawrence, KS |
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6400 (3.0) $(79 + 1)^2$ Gregory Bayer, 3/22 Sydney, New South Wales |
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6408 (2.0) $712 \times 9$ Kendra Stindt, 11/13 Topeka, KS |
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6447 (2.0) $921 \times 7$ Bing Guo, 11/13 Lawrence, KS |
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6480 (2.2) $72 \times \dfrac{9}{.1}$ D.J. Demjanik, 9/13 Shawnee, KS |
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6488 (3.2) $\dfrac{7}{1\pmf} - 2^9$ Jonathan Frank, 6/22 Rye, NY |
6489 (2.0) $721 \times 9$ Bing Guo, 10/13 Lawrence, KS |
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6532 (2.0) $92 \times 71$ Jon Giuliano, 4/13 Atlanta, GA |
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6552 (2.0) $72 \times 91$ Kendra Stindt, 8/13 Topeka, KS |
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6561 (3.0) $9^{7-2-1}$ Chryspus Muema, 5/16 Olathe, KS |
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6650 (2.2) $19 \times \dfrac{7}{2\%}$ Alyssa Trembly, 2/14 Spring Hill, KS |
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6908 (2.4) $\dfrac{7}{.1\%} - 92$ Jonathan Frank, 6/22 Rye, NY |
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6919 (3.2) $\dfrac{7}{1\pmf} - 9^2$ Jonathan Frank, 6/22 Rye, NY |
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6936 (3.6) $\dfrac{7}{1\pmf} - 2^{(\sqrt{9})!}$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
6964 (3.6) $\dfrac{7}{1\pmf} - (\sqrt{9})!^2$ Jonathan Frank, 6/22 Rye, NY |
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6971 (2.4) $\dfrac{7}{.1\%} - 29$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
6982 (2.4) $\dfrac{7}{.1\%} - 2 \times 9$ Jonathan Frank, 6/22 Rye, NY |
6988 (3.6) $\dfrac{7}{1\pmf} - 2 \times (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
6989 (2.4) $\dfrac{7}{.1\%} - 2 - 9$ Jonathan Frank, 6/22 Rye, NY |
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6991 (3.4) $\dfrac{7}{1\pmf} - \sqrt{9^2}$ Jonathan Frank, 6/22 Rye, NY |
6992 (3.4) $\dfrac{7}{1\pmf} - 2^{\sqrt{9}}$ Jonathan Frank, 6/22 Rye, NY |
6993 (2.4) $\dfrac{7}{.1\%} + 2 - 9$ Jonathan Frank, 6/22 Rye, NY |
6994 (3.4) $\dfrac{7}{1\pmf} - 2 \times \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
6995 (3.4) $\dfrac{7}{1\pmf} - 2 - \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
6996 (3.6) $\dfrac{7}{1\pmf} + 2 - (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
6999 (3.4) $\dfrac{7}{1\pmf} + 2 - \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
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7001 (3.4) $\dfrac{7}{1\pmf} - 2 + \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
7004 (3.6) $\dfrac{7}{1\pmf} - 2 + (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
7005 (3.4) $\dfrac{7}{1\pmf} + 2 + \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
7006 (3.4) $\dfrac{7}{1\pmf} + 2 \times \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
7007 (2.4) $\dfrac{7}{.1\%} - 2 + 9$ Jonathan Frank, 6/22 Rye, NY |
7008 (3.4) $\dfrac{7}{1\pmf} + 2^{\sqrt{9}}$ Jonathan Frank, 6/22 Rye, NY |
7009 (3.4) $\dfrac{7}{1\pmf} + \sqrt{9^2}$ Jonathan Frank, 6/22 Rye, NY |
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7011 (2.4) $\dfrac{7}{.1\%} + 2 + 9$ Jonathan Frank, 6/22 Rye, NY |
7012 (3.6) $\dfrac{7}{1\pmf} + 2 \times (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
7018 (2.4) $\dfrac{7}{.1\%} + 2 \times 9$ Jonathan Frank, 6/22 Rye, NY |
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7029 (2.4) $\dfrac{7}{.1\%} + 29$ Jonathan Frank, 6/22 Rye, NY |
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7031 (3.4) $\dfrac{2}{1\pmf} + 7! - 9$ Jonathan Frank, 6/22 Rye, NY |
7034 (3.8) $\dfrac{2}{1\pmf} + 7! - (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
7036 (3.6) $\dfrac{7}{1\pmf} + (\sqrt{9})!^2$ Jonathan Frank, 6/22 Rye, NY |
7037 (3.6) $\dfrac{2}{1\pmf} + 7! - \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
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7043 (3.6) $\dfrac{2}{1\pmf} + 7! + \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
7046 (3.8) $\dfrac{2}{1\pmf} + 7! + (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
7049 (3.4) $\dfrac{2}{1\pmf} + 7! + 9$ Jonathan Frank, 6/22 Rye, NY |
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7056 (3.0) $(91 - 7)^2$ Gregory Bayer, 3/22 Sydney, New South Wales |
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7064 (3.6) $\dfrac{7}{1\pmf} + 2^{(\sqrt{9})!}$ Jonathan Frank, 6/22 Rye, NY |
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7081 (3.2) $\dfrac{7}{1\pmf} + 9^2$ Jonathan Frank, 6/22 Rye, NY |
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7092 (2.4) $\dfrac{7}{.1\%} + 92$ Jonathan Frank, 6/22 Rye, NY |
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7128 (2.4) $\dfrac{792}{.\overline{1}}$ Jonathan Frank, 6/22 Rye, NY |
7129 (2.0) $7129$ Sara Fridovich-Keil, 7/13 Decatur, GA |
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7191 (2.2) $\dfrac{72}{1\%} - 9$ Jonathan Frank, 6/22 Rye, NY |
7192 (2.0) $7192$ Sara Fridovich-Keil, 6/13 Decatur, GA |
7194 (3.6) $\dfrac{72}{1\%} - (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
7197 (3.4) $\dfrac{72}{1\%} - \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
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7203 (3.4) $\dfrac{72}{1\%} + \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
7206 (3.6) $\dfrac{72}{1\%} + (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
7209 (2.2) $\dfrac{72}{1\%} + 9$ Jonathan Frank, 6/22 Rye, NY |
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7219 (2.0) $7219$ Sara Fridovich-Keil, 6/13 Decatur, GA |
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7290 (2.2) $\dfrac{729}{.1}$ Jonathan Frank, 6/22 Rye, NY |
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7291 (2.0) $7291$ Sara Fridovich-Keil, 5/13 Decatur, GA |
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7512 (3.2) $\dfrac{7}{1\pmf} + 2^9$ Jonathan Frank, 6/22 Rye, NY |
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7650 (2.4) $\dfrac{17}{2\%} \times 9$ Jonathan Frank, 6/22 Rye, NY |
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7776 (3.2) $(7 - 1)^{\sqrt{9} + 2}$ Gregory Bayer, 11/20 Sydney, NSW |
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7898 (2.2) $\dfrac{79}{1\%} - 2$ Sierra Henricks, 4/14 Olathe, KS |
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7902 (2.2) $\dfrac{79}{1\%} + 2$ Alyssa Trembly, 1/14 Spring Hill, KS |
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7912 (2.0) $7912$ Sara Fridovich-Keil, 5/13 Decatur, GA |
7920 (2.2) $\dfrac{792}{.1}$ Jonathan Frank, 6/22 Rye, NY |
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7921 (2.0) $7921$ Sara Fridovich-Keil, 5/13 Decatur, GA |
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8100 (2.2) $\dfrac{9}{1\%} \times (7 + 2)$ Jonathan Frank, 9/21 Rye, NY |
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8274 (3.0) $91^2 - 7$ Lynne Erwin, 6/16 Overland Park, KS |
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8288 (3.0) $91^2 + 7$ Lynne Erwin, 6/16 Overland Park, KS |
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8343 (2.4) $\dfrac{927}{.\overline{1}}$ Jonathan Frank, 6/22 Rye, NY |
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8704 (3.0) $2^9 \times 17$ Alondra Aviles Gallegos, 2/17 Kansas City, KS |
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8748 (2.4) $\dfrac{972}{.\overline{1}}$ Jonathan Frank, 6/22 Rye, NY |
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9127 (2.0) $9127$ Jon Giuliano, 4/13 Atlanta, GA |
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9193 (2.2) $\dfrac{92}{1\%} - 7$ David Anderson, 1/14 Olathe, KS |
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9207 (2.2) $\dfrac{92}{1\%} + 7$ Alyssa Trembly, 1/14 Spring Hill, KS |
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9216 (3.0) $(97 - 1)^2$ Gregory Bayer, 3/22 Sydney, New South Wales |
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9270 (2.2) $\dfrac{927}{.1}$ Deborah Kangas, 1/14 Lenexa, KS |
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9271 (2.0) $9271$ Jon Giuliano, 4/13 Atlanta, GA |
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9408 (3.0) $97^2 - 1$ Sierra Henricks, 2/14 Olathe, KS |
9409 (3.0) $97^2 \times 1$ Vamsi, 9/14 Visakhapatnam, India |
9410 (3.0) $97^2 + 1$ Sierra Henricks, 3/14 Olathe, KS |
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9590 (3.4) $\dfrac{91}{2\%} + 7!$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
9604 (3.0) $(91 + 7)^2$ Gregory Bayer, 3/22 Sydney, New South Wales |
||||||||||
9698 (2.2) $\dfrac{97}{1\%} - 2$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
9702 (2.2) $\dfrac{97}{1\%} + 2$ Alyssa Trembly, 1/14 Spring Hill, KS |
||||||||||
9712 (2.0) $9712$ Jon Giuliano, 4/13 Atlanta, GA |
9720 (2.2) $\dfrac{972}{.1}$ Margaret Wilson, 4/13 Atlanta, GA |
|||||||||
9721 (2.0) $9721$ Jon Giuliano, 4/13 Atlanta, GA |
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10089 (3.2) $7! \times 2 + 9 \times 1$ Chryspus Muema, 4/16 Olathe, KS |
||||||||||
10650 (3.4) $\dfrac{71}{2\%} \times \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
12040 (3.4) $\dfrac{7}{1\pmf} + (9 - 2)!$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
12600 (2.2) $\dfrac{9 \times 2 \times 7}{1\%}$ Jonathan Frank, 11/21 Rye, NY |
||||||||||
14240 (3.4) $\dfrac{92}{1\%} + 7!$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
15123 (3.2) $71^2 \times \sqrt{9}$ Hannah Maleki, 11/16 Overland Park, KS |
||||||||||
15800 (2.2) $\dfrac{79}{1\%} \times 2$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
16806 (3.2) $7^{\sqrt{9} + 2} - 1$ Jonathan Frank, 11/21 Rye, NY |
16807 (3.2) $7^{\sqrt{9} + 2} \times 1$ Gregory Bayer, 11/20 Sydney, NSW |
16808 (3.2) $7^{\sqrt{9} + 2} + 1$ Gregory Bayer, 11/20 Sydney, NSW |
||||||||
19400 (2.2) $\dfrac{97}{1\%} \times 2$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
19683 (2.0) $\left( \dfrac{21}{7} \right)^9$ Julia B., 4/13 New York, NY |
||||||||||
20300 (2.2) $29 \times \dfrac{7}{1\%}$ Alyssa Trembly, 2/14 Spring Hill, KS |
||||||||||
21300 (3.6) $\dfrac{71}{2\%} \times (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
21600 (3.4) $\dfrac{72}{1\%} \times \sqrt{9}$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
22679 (3.2) $7! \times \dfrac92 - 1$ Parker Thomsen, 5/15 Lenexa, KS |
22680 (3.2) $\dfrac{9!}{(7 + 1) \times 2}$ Jonathan Frank, 3/21 Rye, NY |
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22681 (3.2) $7! \times \dfrac92 + 1$ Parker Thomsen, 5/15 Lenexa, KS |
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23409 (3.0) $(17 \times 9)^2$ Kashmira Sayani, 1/17 Overland Park, KS |
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24192 (3.2) $\dfrac{9!}{7 \times 2 + 1}$ Jonathan Frank, 3/21 Rye, NY |
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24300 (2.2) $\dfrac{27}{1\%} \times 9$ Jonathan Frank, 6/22 Rye, NY |
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25919 (3.2) $\dfrac{9!}{7 \times 2} - 1$ Aaron Parsons, 8/16 Pittsville, MD |
25920 (3.2) $\dfrac{9!}{7 \times 2 \times 1}$ Jonathan Frank, 3/21 Rye, NY |
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25921 (3.2) $\dfrac{9!}{7 \times 2} + 1$ Aaron Parsons, 8/16 Pittsville, MD |
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30246 (3.4) $71^2 \times (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
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31850 (2.2) $\dfrac{91}{2\%} \times 7$ David Anderson, 2/14 Olathe, KS |
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31950 (2.2) $71 \times \dfrac{9}{2\%}$ Alyssa Trembly, 2/14 Spring Hill, KS |
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32041 (3.0) $179^2$ Justin Keck, 3/17 Lawrence, KS |
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32768 (3.0) $2^{9+7-1}$ Jonathan Frank, 4/21 Rye, NY |
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36288 (3.2) $\dfrac{9!}{7 + 2 + 1}$ Jonathan Frank, 3/21 Rye, NY |
||||||||||
38809 (3.0) $197^2$ Justin Keck, 3/17 Lawrence, KS |
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40192 (3.2) $(9 - 1)! - 2^7$ Gregory Bayer, 4/22 Sydney, NSW |
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40248 (3.2) $(9 - 1)! - 72$ Gregory Bayer, 4/22 Sydney, NSW |
||||||||||
40271 (3.2) $(9 - 1)! - 7^2$ Gregory Bayer, 7/22 Sydney, NSW |
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40293 (3.2) $(9 - 1)! - 27$ Gregory Bayer, 4/22 Sydney, NSW |
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40311 (3.2) $(9 - 1)! - 7 - 2$ Gregory Bayer, 7/22 Sydney, NSW |
40313 (3.4) $(9 - 1)! - \sqrt{7^2}$ Gregory Bayer, 7/20 Sydney, NSW |
40315 (3.2) $(9 - 1)! - 7 + 2$ Gregory Bayer, 4/22 Sydney, NSW |
40318 (3.2) $(9 - 1^7)! - 2$ Gregory Bayer, 4/22 Sydney, NSW |
40319 (3.2) $\dfrac{9!}{7 + 2} - 1$ Jonathan Frank, 11/21 Rye, NY |
40320 (3.2) $\dfrac{9!}{7 + 2 \times 1}$ Jonathan Frank, 3/21 Rye, NY |
|||||
40321 (3.2) $\dfrac{9!}{7 + 2} + 1$ Jonathan Frank, 11/21 Rye, NY |
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43200 (3.6) $\dfrac{72}{1\%} \times (\sqrt{9})!$ Jonathan Frank, 6/22 Rye, NY |
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45362 (3.2) $7! \times 9 + 2 \times 1$ Madison Gielen, 6/13 Perth, Western Australia |
45369 (3.0) $71^2 \times 9$ Jonathan Frank, 11/21 Rye, NY |
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51842 (3.2) $\dfrac{9!}{7} + 2 \times 1$ Agnieszka Hajnas, 5/13 Kansas City, MO |
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57967 (3.0) $91^2 \times 7$ Obada Albadawi, 5/16 Overland Park, KS |
||||||||||
59049 (3.0) $9^{12-7}$ Hyun Cheong, 3/14 Overland Park, KS |
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64400 (2.2) $92 \times \dfrac{7}{1\%}$ Alyssa Trembly, 2/14 Spring Hill, KS |
||||||||||
64800 (2.2) $72 \times \dfrac{9}{1\%}$ Alyssa Trembly, 2/14 Spring Hill, KS |
||||||||||
65000 (2.4) $\dfrac{91}{2\% \times 7\%}$ David Anderson, 2/14 Olathe, KS |
||||||||||
65536 (3.0) $2^{(9+7) \times 1}$ Jonathan Frank, 4/21 Rye, NY |
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103680 (3.2) $\dfrac{9! \times 2}{7 \times 1}$ Gregory Bayer, 7/22 Sydney, NSW |
||||||||||
117649 (3.0) $7^{9-2-1}$ Chryspus Muema, 5/16 Olathe, KS |
||||||||||
131072 (3.0) $2^{9+7+1}$ Chryspus Muema, 5/16 Olathe, KS |
||||||||||
259200 (3.2) $\dfrac{(9 + 1)!}{2 \times 7}$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
282240 (3.4) $(9 - 1)! \times \sqrt{7^2}$ Gregory Bayer, 2/22 Sydney, New South Wales |
||||||||||
322560 (3.2) $(9 - 1)^2 \times 7!$ Gregory Bayer, 10/22 Sydney, NSW |
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357819 (3.4) $9! - 7! - 21$ Gregory Bayer, 7/22 Sydney, NSW |
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357828 (3.4) $9! - 7! - 12$ Gregory Bayer, 7/22 Sydney, NSW |
||||||||||
357834 (3.6) $9! - 7! - (2 + 1)!$ Gregory Bayer, 10/22 Sydney, NSW |
||||||||||
358400 (3.2) $2^9 \times \dfrac{7}{1\%}$ Steve Wilson, 1/13 Raytown, MO |
||||||||||
362760 (3.4) $9! - (12 - 7)!$ Gregory Bayer, 10/22 Sydney, NSW |
||||||||||
367899 (3.4) $9! + 7! - 21$ Obada Albadawi, 5/16 Overland Park, KS |
||||||||||
367921 (3.2) $9! + 71^2$ Hannah Maleki, 11/16 Overland Park, KS |
||||||||||
390625 (3.0) $(7 - 2)^{9-1}$ Jonathan Frank, 4/21 Rye, NY |
||||||||||
403200 (3.2) $\dfrac{(9 + 1)!}{2 + 7}$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
504000 (3.2) $(9 + 1)^2 \times 7!$ Gregory Bayer, 10/22 Sydney, NSW |
||||||||||
516961 (3.0) $719^2$ Hannah Maleki, 9/16 Overland Park, KS |
||||||||||
625681 (3.0) $791^2$ Justin Keck, 3/17 Lawrence, KS |
||||||||||
703125 (3.2) $\left( \dfrac{1}{.2} \right)^7 \times 9$ Hyun Cheong, 2/14 Overland Park, KS |
||||||||||
725760 (3.2) $\dfrac{(9 + 1)!}{7 - 2}$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
725767 (3.2) $9! \times 2 + 7 \times 1$ Chryspus Muema, 4/16 Olathe, KS |
||||||||||
823543 (3.0) $7^{9-2} \times 1$ Steve Wilson, 9/20 Lawrence, KS |
||||||||||
840889 (3.0) $917^2$ Andrea Craig, 3/17 Olathe, KS |
||||||||||
1953125 (3.0) $(7 - 2)^{9 \times 1}$ Jonathan Frank, 4/21 Rye, NY |
1953126 (3.0) $(7 - 2)^9 + 1$ Natalie Eppler, 11/16 Paola, KS |
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2097152 (3.0) $(9 - 7)^{21}$ Gregory Bayer, 2/22 Sydney, New South Wales |
||||||||||
2476099 (3.0) $19^{7-2}$ Hyun Cheong, 3/14 Overland Park, KS |
||||||||||
3265920 (3.4) $(9 + 1)! - (7 + 2)!$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
3981312 (3.0) $\dfrac{12^7}{9}$ Salvador Aguirre, 10/16 Overland Park, KS |
||||||||||
4782972 (3.0) $9^7 + 2 + 1$ Adam Shafton, 4/16 Overland Park, KS |
||||||||||
4989600 (3.2) $\dfrac{(9 + 2)!}{7 + 1}$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
5702399 (3.2) $\dfrac{(9 + 2)!}{7} - 1$ Jonathan Frank, 6/22 Rye, NY |
5702400 (3.2) $\dfrac{(9 + 2)!}{7 \times 1}$ Jonathan Frank, 6/22 Rye, NY |
|||||||||
5702401 (3.2) $\dfrac{(9 + 2)!}{7} + 1$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
5764801 (3.2) $7^{\sqrt{9^2} - 1}$ Gregory Bayer, 2/22 Sydney, New South Wales |
||||||||||
6652800 (3.2) $\dfrac{(9 + 2)!}{7 - 1}$ Jonathan Frank, 6/22 Rye, NY |
||||||||||
9565938 (3.0) $9^7 \times 2 \times 1$ Agnieszka Hajnas, 5/13 Kansas City, MO |
||||||||||
9765625 (3.0) $(7 - 2)^{9+1}$ Jonathan Frank, 4/21 Rye, NY |
||||||||||
10000000 (3.0) $(9 + 2 - 1)^7$ Steve Wilson, 9/20 Lawrence, KS |
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19487171 (3.0) $(9 + 2)^7 \times 1$ Deborah Kangas, 5/14 Lenexa, KS |
19487172 (3.0) $(9 + 2)^7 + 1$ Andrea Craig, 3/17 Olathe, KS |
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35831799 (3.0) $12^7 - 9$ Salvador Aguirre, 10/16 Overland Park, KS |
||||||||||
35831808 (3.0) $(9 + 2 + 1)^7$ Deborah Kangas, 5/14 Lenexa, KS |
||||||||||
35831817 (3.0) $12^7 + 9$ Salvador Aguirre, 10/16 Overland Park, KS |
||||||||||
36194688 (3.2) $9! + 12^7$ Hannah Maleki, 9/16 Overland Park, KS |
||||||||||
40353605 (3.0) $7^9 - 2 \times 1$ Iris Behm, 3/14 Lenexa, KS |
40353610 (3.2) $7^9 + 2 + 1$ Chryspus Muema, 4/16 Olathe, KS |
|||||||||
57395628 (3.0) $9^7 \times 12$ Hyun Cheong, 2/14 Overland Park, KS |
||||||||||
67108864 (3.0) $2^{17+9}$ Gregory Bayer, 2/22 Sydney, New South Wales |
||||||||||
80707213 (3.0) $7^9 \times 2 - 1$ Vamsi, 9/14 Visakhapatnam, India |
80707214 (3.0) $7^9 \times 2 \times 1$ Hyun Cheong, 2/14 Overland Park, KS |
80707215 (3.0) $7^9 \times 2 + 1$ Vamsi, 9/14 Visakhapatnam, India |
||||||||
100442349 (3.0) $9^7 \times 21$ Hannah Maleki, 11/16 Overland Park, KS |
||||||||||
129140163 (3.0) $9^{17/2}$ Gregory Bayer, 2/22 Sydney, New South Wales |
||||||||||
200120949 (3.0) $\dfrac{21^7}{9}$ Salvador Aguirre, 10/16 Overland Park, KS |
||||||||||
282475249 (3.0) $7^{9+2-1}$ Chryspus Muema, 5/16 Olathe, KS |
||||||||||
322486272 (3.0) $12^7 \times 9$ Hyun Cheong, 2/14 Overland Park, KS |
||||||||||
387420489 (3.0) $9^{7 + 2} \times 1$ Deborah Kangas, 5/14 Lenexa, KS |
387420490 (3.0) $9^{7 + 2} + 1$ Andrea Craig, 3/17 Olathe, KS |
|||||||||
479001679 (3.2) $12! + 79$ Greg Bayer, 8/19 Sydney, New South Wales |
||||||||||
479001697 (3.2) $12! + 97$ Greg Bayer, 8/19 Sydney, New South Wales |
||||||||||
484243284 (3.0) $7^9 \times 12$ Deborah Kangas, 5/14 Lenexa, KS |
||||||||||
594823321 (3.0) $29^{7-1}$ Gregory Bayer, 12/19 Sydney, New South Wales |
||||||||||
612220033 (3.0) $(9 \times 2)^7 + 1$ Andrea Craig, 3/17 Olathe, KS |
||||||||||
1801088541 (3.0) $(12 + 9)^7$ Deborah Kangas, 5/14 Lenexa, KS |
1801088550 (3.0) $21^7 + 9$ Salvador Aguirre, 10/16 Overland Park, KS |
|||||||||
1977326740 (4.4) $7^{9+2} + \log(1 ‰)$ Vamsi, 11/14 Visakhapatnam, India |
||||||||||
1977326743 (3.0) $7^{9+2} \times 1$ Steve Wilson, 9/20 Lawrence, KS |
||||||||||
3486784401 (3.0) $9^{7+2+1}$ Chryspus Muema, 5/16 Olathe, KS |
||||||||||
3657830399 (3.4) $9! \times 7! \times 2 - 1$ Vamsi, 10/14 Visakhapatnam, India |
3657830400 (3.4) $9! \times 7! \times 2 \times 1$ Catherine Weinman, 7/13 Perth, Western Australia |
|||||||||
3657830401 (3.4) $9! \times 7! \times 2 + 1$ Catherine Weinman, 6/13 Perth, Western Australia |
||||||||||
38443359375 (3.0) $(7 \times 2 + 1)^9$ Travis MacClendon, 1/14 Blountstown, FL |
||||||||||
594467302491009 (3.0) $129^7$ Vamsi, 9/14 Visakhapatnam, India |
||||||||||
4611686018427387904 (3.0) $2^{(9 \times 7 - 1)}$ Adam Shafton, 4/16 Overland Park, KS |
||||||||||
9223372036854775808 (3.0) $2^{(9 \times 7 \times 1)}$ Adam Shafton, 4/16 Overland Park, KS |
||||||||||
18446744073709551616 (3.0) $2^{(9 \times 7 + 1)}$ Adam Shafton, 4/16 Overland Park, KS |
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