\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \)
The digits of the birthday of Integermaniac master Dave Jones are 1, 7, 7, and 8. Create each of the positive integers using one copy of each number, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.
Use the online submissions page to get your Integermania solutions posted here! This problem is now in semi-retired status, so you may submit an unlimited number of solutions each month.
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201+).
801 (2.2) $\dfrac{8}{1\%} + \dfrac77$ Kevin Solecki, 10/08 Olathe, KS |
802 (4.0) $\dfrac{8! + 7!\%}{7!\%} + 1$ Steve Wilson, 8/23 Lawrence, KS |
803 (3.8) $\dfrac{8}{1\%} + \sqrt{\dfrac{7}{.\overline{7}}}$ Steve Wilson, 7/23 Lawrence, KS |
804 (2.4) $\dfrac{7}{.8\%} - 71$ Steve Wilson, 5/10 Raytown, MO |
805 (2.4) $\dfrac{ \dfrac{7}{8\%} - 7}{.1}$ Steve Wilson, 5/10 Raytown, MO |
806 (3.6) $\dfrac{8!}{7!\%} + 7 - 1$ Steve Wilson, 8/23 Lawrence, KS |
807 (2.2) $7 \times \left( \dfrac{8}{7\%} + 1 \right)$ Steve Wilson, 5/10 Raytown, MO |
808 (2.2) $8 \times \left( \dfrac{7}{7\%} + 1 \right)$ Steve Wilson, 6/10 Raytown, MO |
809 (2.6) $\dfrac{8}{1\%} + \dfrac{7}{.\overline{7}}$ Steve Wilson, 6/10 Raytown, MO |
810 (2.0) $817 - 7$ Ed Cockman, 5/07 Pleasant Hill, MO |
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811 (4.4) $\left(\sqrt{\sqrt{(.\overline{1}\%)^{-8}}}\right)\pm + \dfrac77$ Steve Wilson, 8/23 Lawrence, KS |
812 (2.8) $\dfrac{7}{.8\%} - \dfrac{7}{.\overline{1}}$ Steve Wilson, 6/10 Raytown, MO |
814 (2.2) $\dfrac{8}{1\%} + 7 + 7$ Steve Wilson, 6/10 Raytown, MO |
816 (4.6) $817 - \cos(7!^\circ)$ Steve Wilson, 7/23 Lawrence, KS |
817 (3.6) $\dfrac{8!}{7!\%} + 17$ Steve Wilson, 8/23 Lawrence, KS |
818 (4.6) $817 + \cos(7!^\circ)$ Steve Wilson, 7/23 Lawrence, KS |
819 (2.6) $\dfrac{7}{.\overline{7}\%} - 81$ Steve Wilson, 6/10 Raytown, MO |
820 (2.8) $\dfrac{ \dfrac{7}{.\overline{7}} - .8}{1\%}$ Steve Wilson, 7/10 Raytown, MO |
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824 (2.0) $817 + 7$ Dave Jones, 8/08 Coventry, England |
826 (2.4) $7 \times \left( \dfrac{1}{.8\%} - 7 \right)$ Steve Wilson, 7/10 Raytown, MO |
828 (2.6) $\dfrac{ \dfrac{7}{7\%} - 8}{.\overline{1}}$ Steve Wilson, 7/10 Raytown, MO |
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832 (3.2) $\dfrac{7!}{7-1} - 8$ Tami Lawler-Bontrager, 9/07 Overland Park, KS |
833 (4.6) $\dfrac{7!}{8 + \log(1\%)} - 7$ Steve Wilson, 7/23 Lawrence, KS |
836 (4.8) $\dfrac{7!}{7 - 1} - \ln\sqrt{\exp 8}$ Steve Wilson, 6/23 Lawrence, KS |
837 (2.8) $\dfrac{8-7-7\%}{.\overline{1}\%}$ Steve Wilson, 7/10 Raytown, MO |
839 (4.8) $\dfrac{7!}{7 - 1} - \cos(8!^\circ)$ Steve Wilson, 7/23 Lawrence, KS |
840 (3.2) $\dfrac{8!}{7\times 7-1}$ Steve Wilson, 12/10 Raytown, MO |
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841 (4.8) $\dfrac{7!}{7 - 1} + \cos(8!^\circ)$ Steve Wilson, 7/23 Lawrence, KS |
844 (2.6) $7 \times \left( \dfrac{1}{.\overline{7}\%} - 8 \right)$ Steve Wilson, 7/10 Raytown, MO |
845 (3.4) $\dfrac{7!}{7} + \dfrac{1}{8 \pmf}$ Steve Wilson, 12/10 Raytown, MO |
846 (2.4) $\dfrac{87+7}{.\overline{1}}$ Steve Wilson, 10/10 Raytown, MO |
847 (2.8) $\dfrac{7-7\%}{.\overline{81}\%}$ Steve Wilson, 10/10 Raytown, MO |
848 (3.2) $\dfrac{7!}{7-1} + 8$ Steve Wilson, 12/10 Raytown, MO |
849 (2.2) $\dfrac{8}{1\%} + 7 \times 7$ Steve Wilson, 10/10 Raytown, MO |
850 (2.2) $\dfrac{78+7}{.1}$ Steve Wilson, 10/10 Raytown, MO |
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855 (2.8) $\dfrac{7.7-.1}{.\overline{8}\%}$ Steve Wilson, 10/10 Raytown, MO |
856 (2.8) $\dfrac{7-1-.8\%}{.7\%}$ Steve Wilson, 10/10 Raytown, MO |
857 (4.4) $\dfrac{.\overline{7} + 8\% - .\overline{7}\pmf}{1\pmf}$ Steve Wilson, 7/23 Lawrence, KS |
858 (2.4) $\dfrac{7}{.8\%} - 17$ Steve Wilson, 10/10 Raytown, MO |
859 (4.4) $\left(\sqrt{\sqrt{(.\overline{1}\%)^{-8}}}\right)\pm + 7 \times 7$ Steve Wilson, 8/23 Lawrence, KS |
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861 (4.6) $\dfrac{7}{8\pmf} + 7 \times \log(1\%)$ Steve Wilson, 7/23 Lawrence, KS |
862 (4.8) $\dfrac{7}{8\pmf} - 7 + \log(1\pmm)$ Steve Wilson, 7/23 Lawrence, KS |
863 (2.2) $\dfrac{87}{.1} - 7$ Steve Wilson, 10/10 Raytown, MO |
864 (2.0) $871 - 7$ Miranda Vose, 11/07 Overland Park, KS |
865 (2.6) $\dfrac{7 - (7+1)\%}{.8\%}$ Steve Wilson, 10/10 Raytown, MO |
866 (4.6) $\dfrac{7}{8\pmf} - 7 + \log(1\%)$ Steve Wilson, 7/23 Lawrence, KS |
867 (2.4) $\dfrac{7}{.8\%} - 7 - 1$ Steve Wilson, 10/10 Raytown, MO |
868 (2.4) $\dfrac{1}{.8\%} \times 7 - 7$ Jacob Smith, 10/07 Leawood, KS |
869 (2.4) $\dfrac{7}{.8\%} - 7 + 1$ Steve Wilson, 10/10 Raytown, MO |
870 (3.2) $\dfrac{8.7}{1^7 \%}$ Steve Wilson, 7/23 Lawrence, KS |
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871 (3.6) $\dfrac{8!}{7!\%} + 71$ Steve Wilson, 8/23 Lawrence, KS |
872 (4.6) $877 + \log(1\% \pm)$ Steve Wilson, 12/10 Raytown, MO |
873 (4.6) $877 + \log(1\%\%)$ Steve Wilson, 12/10 Raytown, MO |
874 (2.8) $\dfrac{7.\overline{7}}{.\overline{8}\%} - 1$ Steve Wilson, 10/10 Raytown, MO |
875 (2.6) $\dfrac{ \dfrac{7}{.\overline{1}} + 7}{8\%}$ Steve Wilson, 10/10 Raytown, MO |
876 (2.0) $877 - 1$ Ashley Barboza, 3/07 Overland Park, KS |
877 (2.0) $877 \times 1$ Melissa Mitchell, 10/07 Kansas City, KS |
878 (2.0) $877 + 1$ Ed Cockman, 5/07 Pleasant Hill, MO |
879 (4.4) $877 - \log(1\%)$ Steve Wilson, 12/10 Raytown, MO |
880 (4.4) $877 - \log(1\pm)$ Steve Wilson, 12/10 Raytown, MO |
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881 (2.4) $\dfrac{7}{.8\%} + 7 - 1$ Steve Wilson, 10/10 Raytown, MO |
882 (2.0) $18 \times 7 \times 7$ Dave Jones, 8/08 Coventry, England |
883 (2.4) $\dfrac{7}{.8\%} + 7 + 1$ Steve Wilson, 10/10 Raytown, MO |
884 (4.6) $\dfrac{7}{8\pmf} + 7 - \log(1\%)$ Steve Wilson, 7/23 Lawrence, KS |
885 (2.6) $\dfrac{7 + (7+1)\%}{.8\%}$ Steve Wilson, 10/10 Raytown, MO |
886 (4.8) $\dfrac{7}{8\pmf} + 7 - \log(1\%\%)$ Steve Wilson, 7/23 Lawrence, KS |
887 (4.4) $\left(\sqrt{\sqrt{(.\overline{1}\%)^{-8}}}\right)\pm + 77$ Steve Wilson, 8/23 Lawrence, KS |
888 (2.8) $\left( \dfrac{7}{.7\%} - 1 \right) \times .\overline{8}$ Steve Wilson, 10/10 Raytown, MO |
889 (4.6) $\dfrac{7}{8\pmf} - 7 \times \log(1\%)$ Steve Wilson, 7/23 Lawrence, KS |
890 (2.8) $\dfrac{8 + \dfrac{.7}{.\overline{7}}}{1\%}$ Steve Wilson, 10/10 Raytown, MO |
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891 (2.6) $\dfrac{7}{.\overline{7}\%} - 8 - 1$ Steve Wilson, 10/10 Raytown, MO |
892 (2.4) $\dfrac{7}{.8\%} + 17$ Steve Wilson, 10/10 Raytown, MO |
893 (2.6) $\dfrac{7}{.\overline{7}\%} - 8 + 1$ Steve Wilson, 10/10 Raytown, MO |
894 (4.0) $\dfrac{7}{.\overline{7}\%} - \left( \sqrt{8+1} \right)!$ Steve Wilson, 12/10 Raytown, MO |
895 (5.0) $\dfrac{7}{.\overline{7}\%} - 8 - \log(1\pm)$ Steve Wilson, 12/10 Raytown, MO |
897 (3.8) $\dfrac{7}{.\overline{7}\%} - \sqrt{8+1}$ Steve Wilson, 12/10 Raytown, MO |
899 (3.6) $\dfrac{7}{.\overline{7}\%} - 1^8$ Steve Wilson, 12/10 Raytown, MO |
900 (2.2) $\dfrac{7}{7\%} \times (8 + 1)$ Carolyn Neptune, 6/07 Prairie Village, KS |
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901 (3.6) $\dfrac{7}{.\overline{7}\%} + 1^8$ Steve Wilson, 12/10 Raytown, MO |
903 (3.8) $\dfrac{7}{.\overline{7}\%} + \sqrt{8+1}$ Steve Wilson, 12/10 Raytown, MO |
906 (4.0) $\dfrac{7}{.\overline{7}\%} + \left( \sqrt{8+1} \right)!$ Steve Wilson, 12/10 Raytown, MO |
907 (2.6) $\dfrac{7}{.\overline{7}\%} + 8 - 1$ Steve Wilson, 11/10 Raytown, MO |
908 (2.6) $\dfrac{7}{.\overline{7}\%} + 8 \times 1$ Steve Wilson, 11/10 Raytown, MO |
909 (2.6) $\dfrac{7}{.\overline{7}\%} + 8 + 1$ Steve Wilson, 11/10 Raytown, MO |
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913 (3.8) $.1^{-7}\%\% - 87$ Steve Wilson, 8/23 Lawrence, KS |
918 (2.6) $\dfrac{7}{.\overline{7}\%} + 18$ Steve Wilson, 11/10 Raytown, MO |
919 (2.4) $\dfrac{7}{.7\%} - 81$ Steve Wilson, 11/10 Raytown, MO |
920 (2.4) $\dfrac{ \dfrac{7}{7\%} - 8}{.1}$ Steve Wilson, 11/10 Raytown, MO |
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922 (3.8) $.1^{-7}\%\% - 78$ Steve Wilson, 8/23 Lawrence, KS |
923 (3.8) $.1^{-8}\%\pm - 77$ Steve Wilson, 8/23 Lawrence, KS |
924 (2.4) $7 \times \left( \dfrac{1}{.8\%} + 7 \right)$ Steve Wilson, 11/10 Raytown, MO |
928 (2.8) $\dfrac{7}{.7\%} - \dfrac{8}{.\overline{1}}$ Steve Wilson, 11/10 Raytown, MO |
930 (2.6) $\dfrac{8-7-7\%}{.1\%}$ Steve Wilson, 11/10 Raytown, MO |
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938 (2.8) $\dfrac{7}{.8\%} + \dfrac{7}{.\overline{1}}$ Steve Wilson, 11/10 Raytown, MO |
940 (2.2) $\dfrac{87+7}{.1}$ Steve Wilson, 11/10 Raytown, MO |
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944 (2.4) $7 \times \left( \dfrac{1}{.7\%} - 8 \right)$ Steve Wilson, 12/10 Raytown, MO |
945 (2.4) $\dfrac{ \dfrac{7}{8\%} + 7}{.1}$ Steve Wilson, 12/10 Raytown, MO |
946 (2.4) $\dfrac{7}{.8\%} + 71$ Steve Wilson, 12/10 Raytown, MO |
950 (2.2) $\dfrac{77-1}{8\%}$ Steve Wilson, 12/10 Raytown, MO |
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951 (3.8) $.1^{-8}\%\pm - 7 \times 7$ Steve Wilson, 8/23 Lawrence, KS |
952 (2.0) $17 \times 7 \times 8$ Travis Meek, 10/07 Lenexa, KS |
956 (2.6) $7 \times \left( \dfrac{1}{.\overline{7}} + 8 \right)$ Steve Wilson, 12/10 Raytown, MO |
960 (3.2) $\dfrac{8!}{7 \times (7-1)}$ Steve Wilson, 12/10 Raytown, MO |
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963 (2.8) $\dfrac{8-7+7%}{.\overline{1}\%}$ Steve Wilson, 12/10 Raytown, MO |
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972 (2.6) $\dfrac{ \dfrac{7}{7\%} + 8}{.\overline{1}}$ Steve Wilson, 12/10 Raytown, MO |
973 (2.8) $\left( \dfrac{7}{8\%\%} + 7 \right) \times .\overline{1}$ Steve Wilson, 12/10 Raytown, MO |
975 (2.2) $\dfrac{77+1}{8\%}$ Steve Wilson, 12/10 Raytown, MO |
980 (2.8) $\dfrac{7}{.\overline{7}\%} + \dfrac{8}{.1}$ Steve Wilson, 12/10 Raytown, MO |
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981 (2.6) $\dfrac{7}{.\overline{7}\%} + 81$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
982 (2.4) $\dfrac{7}{.7\%} - 18$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
985 (3.8) $.1^{-7}\%\% - 7 - 8$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
986 (3.8) $.1^{-8}\%\pm - 7 - 7$ Steve Wilson, 8/23 Lawrence, KS |
988 (4.8) $\dfrac{7 \times 7}{\ln\sqrt{\exp (.1)}} + 8$ Steve Wilson, 8/23 Lawrence, KS |
990 (2.6) $\dfrac{7 - (8-1)\%}{.7\%}$ Steve Wilson, 12/10 Raytown, MO |
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991 (2.4) $\dfrac{7}{.7\%} - 8 - 1$ Paolo Pellegrini, 7/09 Martina Franca, Italy |
992 (2.4) $\dfrac{7}{.7\%} - 8 \times 1$ Paolo Pellegrini, 7/09 Martina Franca, Italy |
993 (2.4) $\dfrac{7}{.7\%} - 8 + 1$ Paolo Pellegrini, 7/09 Martina Franca, Italy |
994 (3.4) $\dfrac{.7}{.\overline{1}\%} \times (.8 + .\overline{7})$ Paolo Pellegrini, 7/09 Martina Franca, Italy |
996 (3.6) $\dfrac{8+7-7! \pmf}{1\%}$ Paolo Pellegrini, 7/09 Martina Franca, Italy |
997 (3.4) $\dfrac{7}{7 \pmf} - \sqrt{8+1}$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
999 (2.8) $\dfrac{8-1-.7\%}{.7\%}$ Paolo Pellegrini, 9/09 Martina Franca, Italy |
1000 (2.8) $\dfrac{8}{.7\%} - \dfrac{1}{.7\%}$ Ralph Jeffords, 12/07 Centreville, VA |
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1001 (2.8) $\dfrac{8 - 1 + .7\%}{.7\%}$ Steve Wilson, 4/11 Raytown, MO |
1007 (2.4) $\dfrac{7 + 1}{.8\%} + 7$ Steve Wilson, 4/11 Raytown, MO |
1008 (2.4) $\dfrac{7}{.7\%} + 8 \times 1$ Steve Wilson, 4/11 Raytown, MO |
1009 (2.4) $\dfrac{7}{.7\%} + 8 + 1$ Steve Wilson, 4/11 Raytown, MO |
1010 (2.6) $\dfrac{8 - 1 + 7\%}{.7\%}$ Steve Wilson, 4/11 Raytown, MO |
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1014 (3.8) $.1^{-8}\%\pm + 7 + 7$ Steve Wilson, 8/23 Lawrence, KS |
1015 (3.8) $.1^{-7}\%\% + 8 + 7$ Steve Wilson, 8/23 Lawrence, KS |
1016 (3.6) $(7! + 7!) \times .1 + 8$ Steve Wilson, 8/23 Lawrence, KS |
1018 (2.4) $\dfrac{7}{.7\%} + 18$ Steve Wilson, 4/11 Raytown, MO |
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1025 (3.2) $\dfrac{.1}{.\overline{8}\%\%} - \dfrac{7}{7\%}$ Steve Wilson, 8/23 Lawrence, KS |
1030 (2.8) $\dfrac{8}{.\overline{7}\%} + \dfrac{1}{.7}$ Steve Wilson, 4/11 Raytown, MO |
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1048 (3.0) $\dfrac{.1}{.\overline{8}\%\%} - 77$ Steve Wilson, 8/23 Lawrence, KS |
1049 (3.8) $.1^{-8}\%\pm + 7 \times 7$ Steve Wilson, 8/23 Lawrence, KS |
1050 (2.2) $(7 + 8) \times \dfrac{7}{.1}$ Steve Wilson, 4/11 Raytown, MO |
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1056 (2.4) $7 \times \left( \dfrac{1}{.7\%} + 8 \right)$ Steve Wilson, 4/11 Raytown, MO |
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1065 (2.0) $71 \times (8 + 7)$ Dave Jones, 8/08 Coventry, England |
1070 (2.6) $\dfrac{8 - 7 + 7\%}{.1\%}$ Steve Wilson, 4/11 Raytown, MO |
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1072 (2.8) $\dfrac{7}{.7\%} + \dfrac{8}{.\overline{1}}$ Steve Wilson, 4/11 Raytown, MO |
1075 (2.6) $\dfrac{1 - (7+7)\%}{8\%\%}$ Steve Wilson, 4/11 Raytown, MO |
1076 (3.0) $\dfrac{.1}{.\overline{8}\%\%} - 7 \times 7$ Steve Wilson, 8/23 Lawrence, KS |
1077 (3.8) $.1^{-8}\%\pm + 77$ Steve Wilson, 8/23 Lawrence, KS |
1078 (3.8) $.1^{-7}\%\% + 78$ Steve Wilson, 8/23 Lawrence, KS |
1080 (2.4) $\dfrac{ \dfrac{7}{7\%} + 8}{.1}$ Steve Wilson, 4/11 Raytown, MO |
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1081 (2.4) $\dfrac{7}{.7\%} + 81$ Steve Wilson, 4/11 Raytown, MO |
1087 (3.8) $.1^{-7}\%\% + 87$ Steve Wilson, 8/23 Lawrence, KS |
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1100 (2.2) $\dfrac{77}{(8-1)\%}$ Steve Wilson, 4/11 Raytown, MO |
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1111 (3.0) $\dfrac{.1}{.\overline{8}\%\%} - 7 - 7$ Steve Wilson, 8/23 Lawrence, KS |
1112 (2.8) $\left( \dfrac{7}{7\%\%} + 8 \right) \times .\overline{1}$ Steve Wilson, 4/11 Raytown, MO |
1115 (3.2) $\dfrac{.1}{.\overline{8}\%\%} - \dfrac{7}{.7}$ Steve Wilson, 8/23 Lawrence, KS |
1118 (2.4) $\dfrac{8}{.7\overline{1}\%} - 7$ Steve Wilson, 4/11 Raytown, MO |
1120 (2.2) $(7 + 7) \times \dfrac{8}{.1}$ Steve Wilson, 8/23 Lawrence, KS |
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1124 (2.8) $\dfrac{7}{.7 \times .\overline{8}\%} - 1$ Steve Wilson, 8/23 Lawrence, KS |
1125 (2.6) $\dfrac{1 - \dfrac{.7}{7}}{8\%\%}$ Steve Wilson, 8/23 Lawrence, KS |
1126 (2.8) $\dfrac{7}{.7 \times .\overline{8}\%} + 1$ Steve Wilson, 8/23 Lawrence, KS |
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1132 (2.6) $\dfrac{8}{.7\overline{1}\%} + 7$ Steve Wilson, 8/23 Lawrence, KS |
1134 (2.0) $81 \times (7 + 7)$ Dave Jones, 8/08 Coventry, England |
1135 (3.2) $\dfrac{.1}{.\overline{8}\%\%} + \dfrac{7}{.7}$ Steve Wilson, 8/23 Lawrence, KS |
1136 (2.8) $\dfrac{8 + .1\%}{.7\%} - 7$ Steve Wilson, 8/23 Lawrence, KS |
1139 (3.0) $\dfrac{.1}{.\overline{8}\%\%} + 7 + 7$ Steve Wilson, 8/23 Lawrence, KS |
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1143 (2.4) $\dfrac{8}{.7\%} + \dfrac17$ Steve Wilson, 8/23 Lawrence, KS |
1144 (2.8) $\dfrac{7 + 1 + .8\%}{.7\%}$ Steve Wilson, 8/23 Lawrence, KS |
1150 (2.6) $\dfrac{1}{8\%\%} - \dfrac{7}{7\%}$ Steve Wilson, 8/23 Lawrence, KS |
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1153 (2.6) $\dfrac{8 + 7.1\%}{.7\%}$ Steve Wilson, 8/23 Lawrence, KS |
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1173 (2.4) $\dfrac{1}{8\%\%} - 77$ Steve Wilson, 8/23 Lawrence, KS |
1174 (3.0) $\dfrac{.1}{.\overline{8}\%\%} + 7 \times 7$ Steve Wilson, 8/23 Lawrence, KS |
1180 (2.8) $\dfrac{7 + 8\%}{(.7 - .1)\%}$ Steve Wilson, 8/23 Lawrence, KS |
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201+).