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Lawrence, Kansas, was settled in the year 1854. The original group of settlers, sponsored by the New England Emigrant Aid Company, are said to have eaten their first meal there on August 1 (which in shorthand would be 8/1/54). Using one copy each of the digits 1, 4, 5, and 8, 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+).
| 1 (1.0) $\dfrac{1 + 8}{5 + 4}$ Steve Wilson, 9/20 Lawrence, KS |
2 (1.0) $\dfrac{8 + 4}{5 + 1}$ Steve Wilson, 12/20 Lawrence, KS |
3 (1.0) $\dfrac{8 + 4}{5 - 1}$ Jacob Heasley, 4/21 Grove City, PA |
4 (1.0) $\dfrac{8}{5 - 4 + 1}$ Jonathan Frank, 4/21 Rye, NY |
5 (1.0) $\left( \dfrac84 - 1 \right) \times 5$ Jonathan Frank, 4/21 Rye, NY |
6 (1.0) $4 + 8 - (5 + 1)$ Elizabeth Rozzi, 12/20 Lawrence, KS |
7 (1.0) $8 \times 1 - 5 + 4$ Elizabeth Rozzi, 12/20 Lawrence, KS |
8 (1.0) $8 + 5 - 4 - 1$ Jonathan Frank, 4/21 Rye, NY |
9 (1.0) $8 + 5 - 4 \times 1$ Jacob Heasley, 4/21 Grove City, PA |
10 (1.0) $1 + 8 + 5 - 4$ Jacob Heasley, 4/21 Grove City, PA |
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| 11 (1.0) $5 \times 4 - 8 - 1$ Dana Reigle, 4/21 Grove City, PA |
12 (1.0) $5 \times 4 \times 1 - 8$ Dana Reigle, 4/21 Grove City, PA |
13 (1.0) $4 \times 5 - 8 + 1$ Elizabeth Rozzi, 12/20 Lawrence, KS |
14 (2.2) $8 + 4 + \dfrac{1}{.5}$ Steve Wilson, 4/21 Lawrence, KS |
15 (1.0) $(8 - 4 - 1) \times 5$ Steve Wilson, 4/21 Lawrence, KS |
16 (1.0) $8 + 5 + 4 - 1$ Steve Wilson, 4/21 Lawrence, KS |
17 (1.0) $8 \times 1 + 5 + 4$ Elizabeth Rozzi, 12/20 Lawrence, KS |
18 (1.0) $1 + 8 + 5 + 4$ Jacob Heasley, 4/21 Grove City, PA |
19 (1.0) $(8 - 4) \times 5 - 1$ Steve Wilson, 4/21 Lawrence, KS |
20 (1.0) $(8 - 4) \times 5 \times 1$ Steve Wilson, 4/21 Lawrence, KS |
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| 21 (1.0) $(8 - 4) \times 5 + 1$ Jonathan Frank, 5/21 Rye, NY |
22 (2.2) $\dfrac{8 + 4 - 1}{.5}$ Jonathan Frank, 6/21 Rye, NY |
23 (1.0) $(8 - 1) \times 4 - 5$ Jonathan Frank, 5/21 Rye, NY |
24 (1.0) $(8 - 4) \times (5 + 1)$ Jonathan Frank, 4/21 Rye, NY |
25 (1.0) $(8 - 4 + 1) \times 5$ Jonathan Frank, 4/21 Rye, NY |
26 (1.0) $8 \times 4 - 5 - 1$ Jonathan Frank, 5/21 Rye, NY |
27 (1.0) $5 \times 4 + 8 - 1$ Jonathan Frank, 5/21 Rye, NY |
28 (1.0) $5 \times 4 + 8 \times 1$ Jonathan Frank, 6/21 Rye, NY |
29 (1.0) $5 \times 4 + 8 + 1$ Jonathan Frank, 6/21 Rye, NY |
30 (2.0) $15 \times \dfrac84$ Steve Wilson, 6/21 Lawrence, KS |
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| 31 (1.0) $4 \times (8 + 1) - 5$ Elizabeth Rozzi, 12/20 Lawrence, KS |
32 (1.0) $4 \times (5 + 1) + 8$ Steve Wilson, 6/21 Lawrence, KS |
33 (1.0) $(8 - 1) \times 4 + 5$ Jonathan Frank, 6/21 Rye, NY |
34 (2.2) $84 - \dfrac{5}{.1}$ Steve Wilson, 7/21 Lawrence, KS |
35 (1.0) $8 \times 5 - 4 - 1$ Steve Wilson, 6/21 Lawrence, KS |
36 (1.0) $8 \times 5 - 4 \times 1$ Jonathan Frank, 5/21 Rye, NY |
37 (1.0) $1 + 8 \times 5 - 4$ Steve Wilson, 6/21 Lawrence, KS |
38 (1.0) $8 \times 4 + 1 + 5$ Jonathan Frank, 6/21 Rye, NY |
39 (1.0) $(8 - 1) \times 5 + 4$ Steve Wilson, 6/21 Lawrence, KS |
40 (2.2) $4 \times \left(8 + \dfrac{1}{.5} \right)$ Steve Wilson, 7/21 Lawrence, KS |
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| 41 (1.0) $(1 + 8) \times 5 - 4$ Steve Wilson, 7/21 Lawrence, KS |
42 (1.0) $8 \times \left(5 + \dfrac14 \right)$ Steve Wilson, 7/21 Lawrence, KS |
43 (1.0) $8 \times 5 + 4 - 1$ Jonathan Frank, 7/21 Rye, NY |
44 (1.0) $8 \times 5 + 4 \times 1$ Jonathan Frank, 7/21 Rye, NY |
45 (1.0) $8 \times 5 + 4 + 1$ Jonathan Frank, 7/21 Rye, NY |
46 (2.0) $54 - 8 \times 1$ Steve Wilson, 7/21 Lawrence, KS |
47 (2.0) $54 - 8 + 1$ Steve Wilson, 8/21 Lawrence, KS |
48 (1.0) $(8 + 4) \times (5 - 1)$ Jonathan Frank, 7/21 Rye, NY |
49 (1.0) $(8 + 1) \times 5 + 4$ Jonathan Frank, 7/21 Rye, NY |
50 (2.2) $48 + \dfrac{1}{.5}$ Steve Wilson, 8/21 Lawrence, KS |
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| 51 (1.0) $(5 + 8) \times 4 - 1$ Jonathan Frank, 8/21 Rye, NY |
52 (1.0) $(5 + 8) \times 4 \times 1$ Jonathan Frank, 8/21 Rye, NY |
53 (1.0) $(5 + 8) \times 4 + 1$ Jonathan Frank, 8/21 Rye, NY |
54 (2.0) $58 - 4 \times 1$ Steve Wilson, 8/21 Lawrence, KS |
55 (1.0) $(8 + 4 - 1) \times 5$ Jonathan Frank, 8/21 Rye, NY |
56 (1.0) $(8 + 5 + 1) \times 4$ Jonathan Frank, 8/21 Rye, NY |
57 (2.4) $\dfrac{5}{.\overline{1}} + 4 + 8$ Steve Wilson, 10/21 Lawrence, KS |
58 (3.0) $58 \times 1^4$ Steve Wilson, 10/21 Lawrence, KS |
59 (1.0) $5 \times (8 + 4) - 1$ Steve Wilson, 8/21 Lawrence, KS |
60 (1.0) $5 \times (8 + 4) \times 1$ Steve Wilson, 8/21 Lawrence, KS |
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| 61 (1.0) $(8 + 4) \times 5 + 1$ Jonathan Frank, 9/21 Rye, NY |
62 (2.0) $14 \times 5 - 8$ Jonathan Frank, 10/21 Rye, NY |
63 (1.0) $(8 - 1) \times (5 + 4)$ Jonathan Frank, 9/21 Rye, NY |
64 (1.0) $8 \times (5 + 4 - 1)$ Jonathan Frank, 9/21 Rye, NY |
65 (1.0) $(8 + 5) \times (4 + 1)$ Jonathan Frank, 9/21 Rye, NY |
66 (2.2) $\dfrac{8 \times 4 + 1}{.5}$ Jonathan Frank, 10/21 Rye, NY |
67 (2.0) $18 \times 4 - 5$ Jonathan Frank, 10/21 Rye, NY |
68 (2.0) $15 \times 4 + 8$ Jonathan Frank, 10/21 Rye, NY |
69 (2.0) $84 - 15$ Jonathan Frank, 10/21 Rye, NY |
70 (2.2) $\dfrac{8 + 4 - 5}{.1}$ Steve Wilson, 10/21 Lawrence, KS |
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| 71 (1.0) $(5 + 4) \times 8 - 1$ Jonathan Frank, 11/21 Rye, NY |
72 (1.0) $(8 + 4) \times (5 + 1)$ Reagan MacDonald, 9/21 Lawrence, KS |
73 (1.0) $(5 + 4) \times 8 + 1$ Jonathan Frank, 11/21 Rye, NY |
74 (2.0) $14.8 \times 5$ Jonathan Frank, 11/21 Rye, NY |
75 (2.2) $\dfrac{15 \times 4}{.8}$ Jonathan Frank, 11/21 Rye, NY |
76 (2.2) $\dfrac{8 - 5}{4\%} + 1$ Steve Wilson, 11/21 Lawrence, KS |
77 (2.0) $18 \times 4 + 5$ Jonathan Frank, 11/21 Rye, NY |
78 (2.0) $84 - 5 - 1$ Steve Wilson, 11/21 Lawrence, KS |
79 (2.0) $84 - 5 \times 1$ Steve Wilson, 11/21 Lawrence, KS |
80 (1.0) $(5 + 4 + 1) \times 8$ Jonathan Frank, 12/21 Rye, NY |
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| 81 (1.0) $(1 + 8) \times (5 + 4)$ Steve Wilson, 11/21 Lawrence, KS |
82 (2.0) $81 + 5 - 4$ Steve Wilson, 11/21 Lawrence, KS |
83 (2.0) $4 \times 8 + 51$ Reagan MacDonald, 9/21 Lawrence, KS |
84 (3.0) $84 \times 1^5$ Steve Wilson, 4/22 Lawrence, KS |
85 (3.0) $85 \times 1^4$ Steve Wilson, 4/22 Lawrence, KS |
86 (2.0) $18 \times 5 - 4$ Jonathan Frank, 12/21 Rye, NY |
87 (2.2) $\dfrac{4}{5\%} + 8 - 1$ Jonathan Frank, 12/21 Rye, NY |
88 (2.0) $84 + 5 - 1$ Satchel Koch, 10/21 Lawrence, KS |
89 (2.0) $85 \times 1 + 4$ Satchel Koch, 11/21 Lawrence, KS |
90 (2.0) $84 + 5 + 1$ Satchel Koch, 10/21 Lawrence, KS |
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| 91 (2.4) $5 \times \dfrac{8}{.\overline{4}} + 1$ Jonathan Frank, 2/22 Rye, NY |
92 (2.0) $18.4 \times 5$ Jonathan Frank, 1/22 Rye, NY |
93 (3.4) $5! \times .8 - 4 + 1$ Steve Wilson, 2/22 Lawrence, KS |
94 (2.0) $18 \times 5 + 4$ Jonathan Frank, 12/21 Rye, NY |
95 (2.2) $\dfrac{48}{.5} - 1$ Jonathan Frank, 2/22 Rye, NY |
96 (2.2) $48 \times \dfrac{1}{.5}$ Jonathan Frank, 1/22 Rye, NY |
97 (2.2) $\dfrac{48}{.5} + 1$ Jonathan Frank, 1/22 Rye, NY |
98 (2.2) $\dfrac{5}{.1} + 48$ Jonathan Frank, 1/22 Rye, NY |
99 (2.0) $41 + 58$ Jonathan Frank, 12/21 Rye, NY |
100 (2.2) $\dfrac{8}{.1} \times \dfrac54$ J.P. Gitau, 9/21 Lawrence, KS |
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| 101 (2.0) $81 + 4 \times 5$ Jonathan Frank, 1/22 Rye, NY |
102 (2.8) $84 + \dfrac{.1}{.\overline{5}\%}$ Steve Wilson, 3/22 Lawrence, KS |
103 (2.8) $\dfrac{.8}{.\overline{5}\%} - 41$ Steve Wilson, 4/22 Lawrence, KS |
104 (2.2) $84 + \dfrac{1}{5\%}$ Steve Wilson, 4/22 Lawrence, KS |
105 (2.2) $\left( \dfrac{8}{.4} + 1 \right) \times 5$ Jonathan Frank, 3/22 Rye, NY |
106 (3.4) $5! - 8 - (4 - 1)!$ Steve Wilson, 4/22 Lawrence, KS |
107 (2.0) $14 \times 8 - 5$ Jonathan Frank, 2/22 Rye, NY |
108 (2.2) $\dfrac{5 - 1}{4\%} + 8$ Steve Wilson, 2/22 Lawrence, KS |
109 (2.8) $\dfrac{1}{.\overline{8}\%} - 4 + .5$ Steve Wilson, 2/22 Lawrence, KS |
110 (2.0) $(14 + 8) \times 5$ Steve Wilson, 2/22 Lawrence, KS |
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| 111 (3.4) $5! - 8 - \sqrt{4} + 1$ Jonathan Frank, 3/22 Rye, NY |
112 (3.4) $(5! - 8) \times (\sqrt{4} - 1)$ Jonathan Frank, 3/22 Rye, NY |
113 (3.4) $5! - 8 + \sqrt{4} - 1$ Jonathan Frank, 4/22 Rye, NY |
114 (3.4) $5! - 8 + 1 \times \sqrt{4}$ Jonathan Frank, 4/22 Rye, NY |
115 (2.2) $\dfrac{8 + 4}{.1} - 5$ Steve Wilson, 3/22 Lawrence, KS |
116 (2.0) $15 \times 8 - 4$ Steve Wilson, 3/22 Lawrence, KS |
117 (2.0) $14 \times 8 + 5$ Steve Wilson, 3/22 Lawrence, KS |
118 (2.2) $\dfrac{5}{4\%} - 8 + 1$ Steve Wilson, 3/22 Lawrence, KS |
119 (2.2) $\dfrac{8}{5\%} - 41$ Steve Wilson, 6/22 Lawrence, KS |
120 (1.0) $(4 - 1) \times 5 \times 8$ Anders Skjäl, 3/22 Turku, Finland |
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| 121 (3.2) $5! + \dfrac84 - 1$ Jonathan Frank, 4/22 Rye, NY |
122 (3.2) $5! + \dfrac84 \times 1$ Jonathan Frank, 4/22 Rye, NY |
123 (2.0) $41 \times (8 - 5)$ Satchel Koch, 1/22 Lawrence, KS |
124 (2.0) $15 \times 8 + 4$ Jonathan Frank, 5/22 Rye, NY |
125 (2.2) $\dfrac{8 + 4}{.1} + 5$ Steve Wilson, 6/22 Lawrence, KS |
126 (2.0) $45 + 81$ Maddy Malm, 11/21 Lawrence, KS |
127 (2.6) $\dfrac{1}{.8\%} + 5 \times .4$ Steve Wilson, 5/22 Lawrence, KS |
128 (1.0) $(5 - 1) \times 4 \times 8$ Anders Skjäl, 3/22 Turku, Finland |
129 (2.4) $84 + \dfrac{5}{.\overline{1}}$ Steve Wilson, 5/22 Lawrence, KS |
130 (2.8) $\dfrac{1}{.\overline{5}\%} - \dfrac{4}{8\%}$ Steve Wilson, 5/22 Lawrence, KS |
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| 131 (3.2) $5! + 8 + 4 - 1$ Jonathan Frank, 5/22 Rye, NY |
132 (2.2) $\dfrac{5}{4\%} + 8 - 1$ Jonathan Frank, 5/22 Rye, NY |
133 (2.2) $\dfrac{5}{4\%} + 8 \times 1$ Jonathan Frank, 5/22 Rye, NY |
134 (2.2) $\dfrac{8 + 5}{.1} + 4$ Steve Wilson, 5/22 Lawrence, KS |
135 (2.0) $84 + 51$ Satchel Koch, 10/21 Lawrence, KS |
136 (3.4) $5! + 1 \times 8 \times \sqrt{4}$ Steve Wilson, 6/22 Lawrence, KS |
137 (2.0) $145 - 8$ Steve Wilson, 5/22 Lawrence, KS |
138 (3.2) $5 \times 4! + 18$ Steve Wilson, 6/22 Lawrence, KS |
139 (2.8) $\dfrac{.8}{.\overline{5}\%} - 4 - 1$ Steve Wilson, 6/22 Lawrence, KS |
140 (1.0) $4 \times 5 \times (8 - 1)$ Anders Skjäl, 3/22 Turku, Finland |
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| 141 (2.8) $\dfrac{.8}{.\overline{5}\%} - 4 + 1$ Steve Wilson, 7/22 Lawrence, KS |
142 (2.2) $\dfrac{5 + 1}{4\%} - 8$ Steve Wilson, 7/22 Lawrence, KS |
143 (2.0) $148 - 5$ Jonathan Frank, 6/22 Rye, NY |
144 (2.2) $\dfrac{18}{.5} \times 4$ Jonathan Frank, 6/22 Rye, NY |
145 (2.2) $\dfrac{58}{.1 \times 4}$ Jonathan Frank, 6/22 Rye, NY |
146 (2.0) $154 - 8$ Jonathan Frank, 6/22 Rye, NY |
147 (2.8) $\dfrac{.8}{.\overline{5}\%} + 4 - 1$ Steve Wilson, 7/22 Lawrence, KS |
148 (2.6) $\dfrac{1}{.\overline{5}\%} - 8 \times 4$ Steve Wilson, 7/22 Lawrence, KS |
149 (2.2) $\dfrac{8}{4\%} - 51$ Steve Wilson, 7/22 Lawrence, KS |
150 (2.2) $\dfrac{5 + 1}{(8 - 4)\%}$ Steve Wilson, 8/22 Lawrence, KS |
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| 151 (3.2) $5! + 8 \times 4 - 1$ Jonathan Frank, 7/22 Rye, NY |
152 (1.0) $(4 \times 5 - 1) \times 8$ Anders Skjäl, 3/22 Turku, Finland |
153 (2.0) $148 + 5$ Jonathan Frank, 7/22 Rye, NY |
154 (2.0) $158 - 4$ Maddy Malm, 10/21 Lawrence, KS |
155 (1.0) $(4 \times 8 - 1) \times 5$ Anders Skjäl, 3/22 Turku, Finland |
156 (1.0) $(8 \times 5 - 1) \times 4$ Jonathan Frank, 7/22 Rye, NY |
157 (2.2) $\dfrac{8}{5\%} - 4 + 1$ Steve Wilson, 8/22 Lawrence, KS |
158 (2.2) $\dfrac{81}{.5} - 4$ Jonathan Frank, 7/22 Rye, NY |
159 (1.0) $8 \times 5 \times 4 - 1$ Reagan MacDonald, 9/21 Lawrence, KS |
160 (1.0) $1 \times 8 \times 5 \times 4$ J.P. Gitau, 9/21 Lawrence, KS |
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| 161 (1.0) $8 \times 4 \times 5 + 1$ Satchel Koch, 2/22 Lawrence, KS |
162 (2.0) $158 + 4$ Jonathan Frank, 8/22 Rye, NY |
163 (2.2) $\dfrac{8}{5\%} + 4 - 1$ Steve Wilson, 8/22 Lawrence, KS |
164 (1.0) $(8 \times 5 + 1) \times 4$ Jonathan Frank, 7/22 Rye, NY |
165 (1.0) $(8 \times 4 + 1) \times 5$ Maddy Malm, 9/21 Lawrence, KS |
166 (2.2) $\dfrac{81}{.5} + 4$ Jonathan Frank, 8/22 Rye, NY |
167 (2.2) $\dfrac{84}{.5} - 1$ Jonathan Frank, 8/22 Rye, NY |
168 (1.0) $8 \times (4 \times 5 + 1)$ Steve Wilson, 9/22 Lawrence, KS |
169 (2.2) $\dfrac{84}{.5} + 1$ Jonathan Frank, 8/22 Rye, NY |
170 (2.2) $\dfrac{8 + 5 + 4}{.1}$ Steve Wilson, 8/22 Lawrence, KS |
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| 171 (3.2) $85 \times \sqrt{4} + 1$ Steve Wilson, 8/22 Lawrence, KS |
172 (3.2) $\dfrac{(5 + 1)!}{4} - 8$ Steve Wilson, 2/23 Lawrence, KS |
173 (3.6) $\dfrac{5!}{\sqrt{.\overline{4}}} - 8 + 1$ Steve Wilson, 2/23 Lawrence, KS |
174 (2.0) $58 \times (4 - 1)$ Jonathan Frank, 9/22 Rye, NY |
175 (2.8) $\dfrac{1}{.\overline{5}\%} - \dfrac{4}{.8}$ Steve Wilson, 9/22 Lawrence, KS |
176 (2.6) $\dfrac{1}{.\overline{5}\%} - 8 + 4$ Steve Wilson, 9/22 Lawrence, KS |
177 (2.8) $\dfrac{.8}{.\overline{45}\%} + 1$ Steve Wilson, 2/25 Lawrence, KS |
178 (2.6) $\dfrac{1}{.\overline{5}\%} - \dfrac84$ Steve Wilson, 10/22 Lawrence, KS |
179 (2.0) $184 - 5$ Jonathan Frank, 9/22 Rye, NY |
180 (1.0) $(8 + 1) \times 5 \times 4$ Jonathan Frank, 9/22 Rye, NY |
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| 181 (2.0) $185 - 4$ Maddy Malm, 10/21 Lawrence, KS |
182 (2.0) $14 \times (8 + 5)$ Jonathan Frank, 9/22 Rye, NY |
183 (3.2) $185 - \sqrt{4}$ Steve Wilson, 11/22 Lawrence, KS |
184 (2.6) $\dfrac{1}{.\overline{5}\%} + 8 - 4$ Steve Wilson, 10/22 Lawrence, KS |
185 (2.2) $\dfrac{8}{4\%} - 15$ Steve Wilson, 10/22 Lawrence, KS |
186 (3.8) $\dfrac{1}{.\overline{5}\%} + 8 - \sqrt{4}$ Steve Wilson, 10/22 Lawrence, KS |
187 (3.2) $185 + \sqrt{4}$ Steve Wilson, 11/22 Lawrence, KS |
188 (2.4) $\dfrac{1}{.5\%} - 8 - 4$ Steve Wilson, 11/22 Lawrence, KS |
189 (2.0) $184 + 5$ Jonathan Frank, 9/22 Rye, NY |
190 (2.2) $\dfrac{81 - 5}{.4}$ Steve Wilson, 11/22 Lawrence, KS |
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| 191 (3.2) $4! \times 8 - 1^5$ Steve Wilson, 2/23 Lawrence, KS |
192 (1.0) $8 \times 4 \times (5 + 1)$ Jonathan Frank, 10/22 Rye, NY |
193 (3.2) $4! \times 8 + 1^5$ Steve Wilson, 2/23 Lawrence, KS |
194 (2.2) $\dfrac{8}{4\%} - 5 - 1$ Jonathan Frank, 10/22 Rye, NY |
195 (2.2) $\left(\dfrac{8}{4\%} - 5 \right) \times 1$ Jonathan Frank, 10/22 Rye, NY |
196 (2.0) $51 \times 4 - 8$ Jonathan Frank, 10/22 Rye, NY |
197 (2.0) $41 \times 5 - 8$ Jonathan Frank, 10/22 Rye, NY |
198 (2.4) $\dfrac{1}{.5\%} - \dfrac84$ Steve Wilson, 11/22 Lawrence, KS |
199 (3.2) $\dfrac{8}{4\%} - 1^5$ Steve Wilson, 12/22 Lawrence, KS |
200 (1.0) $8 \times 5 \times (4 + 1)$ Jonathan Frank, 11/22 Rye, NY |
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| 201 (2.2) $(41 - .8) \times 5$ Steve Wilson, 2/23 Lawrence, KS |
202 (2.4) $\dfrac{1}{.5\%} + \dfrac84$ Steve Wilson, 12/22 Lawrence, KS |
203 (3.2) $8.5 \times 4! - 1$ Steve Wilson, 4/23 Lawrence, KS |
204 (2.2) $\dfrac{8}{4\%} + 5 - 1$ Steve Wilson, 1/23 Lawrence, KS |
205 (2.2) $\dfrac{8}{4\%} + 5 \times 1$ Steve Wilson, 12/22 Lawrence, KS |
206 (2.2) $\dfrac{8}{4\%} + 5 + 1$ Steve Wilson, 1/23 Lawrence, KS |
207 (3.2) $8 \times 4! + 15$ Steve Wilson, 4/23 Lawrence, KS |
208 (2.2) $\dfrac{5 \times 4}{.1} + 8$ Steve Wilson, 3/23 Lawrence, KS |
209 (2.0) $41.8 \times 5$ Jonathan Frank, 11/22 Rye, NY |
210 (2.2) $\dfrac{85 - 1}{.4}$ Steve Wilson, 3/23 Lawrence, KS |
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| 211 (3.2) $(8 + 1) \times 4! - 5$ Steve Wilson, 4/23 Lawrence, KS |
212 (2.0) $51 \times 4 + 8$ Jonathan Frank, 11/22 Rye, NY |
213 (3.4) $\dfrac{\sqrt{4}}{1\%} + 8 + 5$ Steve Wilson, 3/23 Lawrence, KS |
214 (3.4) $1.8 \times 5! - \sqrt{4}$ Steve Wilson, 4/23 Lawrence, KS |
215 (2.2) $\dfrac{8}{4\%} + 15$ Steve Wilson, 1/23 Lawrence, KS |
216 (3.2) $(5 + 1)^{4!/8}$ Steve Wilson, 3/23 Lawrence, KS |
217 (3.2) $\sqrt{15^4} - 8$ Steve Wilson, 4/23 Lawrence, KS |
218 (2.8) $\dfrac{1}{.5\%} + \dfrac{8}{.\overline{4}}$ Steve Wilson, 3/23 Lawrence, KS |
219 (3.6) $\dfrac{4!}{.\overline{1}} + 8 - 5$ Steve Wilson, 5/23 Lawrence, KS |
220 (2.2) $\dfrac{8 + 4 - 1}{5\%}$ Steve Wilson, 1/23 Lawrence, KS |
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| 221 (3.2) $(8 + 1) \times 4! + 5$ Steve Wilson, 5/23 Lawrence, KS |
222 (3.4) $5! \times \sqrt{4} - 18$ Steve Wilson, 5/23 Lawrence, KS |
223 (3.4) $(5! - 8) \times \sqrt{4} - 1$ Steve Wilson, 5/23 Lawrence, KS |
224 (2.2) $\dfrac{14 \times 8}{.5}$ Jonathan Frank, 1/23 Rye, NY |
225 (3.0) $15^{8/4}$ Steve Wilson, 5/23 Lawrence, KS |
226 (3.4) $(5! - 8 + 1) \times \sqrt{4}$ Steve Wilson, 6/23 Lawrence, KS |
227 (3.4) $\dfrac{4!}{.1} - 8 - 5$ Steve Wilson, 6/23 Lawrence, KS |
228 (2.0) $(58 - 1) \times 4$ Steve Wilson, 6/23 Lawrence, KS |
229 (3.4) $\sqrt{\sqrt{15^8}} + 4$ Steve Wilson, 6/23 Lawrence, KS |
230 (2.2) $\dfrac{8 + 1}{4\%} + 5$ Steve Wilson, 6/23 Lawrence, KS |
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| 231 (2.0) $58 \times 4 - 1$ Jonathan Frank, 11/22 Rye, NY |
232 (2.0) $58 \times 4 \times 1$ J.P. Gitau, 9/21 Lawrence, KS |
233 (2.0) $58 \times 4 + 1$ Jonathan Frank, 11/22 Rye, NY |
234 (3.6) $(5! - \sqrt{8 + 1}) \times \sqrt{4}$ Steve Wilson, 7/23 Lawrence, KS |
235 (2.0) $(48 - 1) \times 5$ Jonathan Frank, 12/22 Rye, NY |
236 (2.0) $(58 + 1) \times 4$ Steve Wilson, 7/23 Lawrence, KS |
237 (3.4) $\dfrac{4!}{.1} - 8 + 5$ Steve Wilson, 7/23 Lawrence, KS |
238 (2.4) $\dfrac{8 + 4 - .1}{5\%}$ Steve Wilson, 7/23 Lawrence, KS |
239 (2.0) $48 \times 5 - 1$ Jonathan Frank, 1/23 Rye, NY |
240 (2.0) $48 \times 5 \times 1$ Jonathan Frank, 1/23 Rye, NY |
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| 241 (2.0) $48 \times 5 + 1$ Jonathan Frank, 1/23 Rye, NY |
242 (2.2) $\dfrac{8 + 4.1}{5\%}$ Steve Wilson, 7/23 Lawrence, KS |
243 (3.0) $(8 - 4 - 1)^5$ Steve Wilson, 8/23 Lawrence, KS |
244 (3.6) $\dfrac{4!}{.1} + 8 \times .5$ Steve Wilson, 8/23 Lawrence, KS |
245 (2.0) $(48 + 1) \times 5$ Jonathan Frank, 1/23 Rye, NY |
246 (3.4) $(5! - 1) \times \sqrt{4} + 8$ Steve Wilson, 8/23 Lawrence, KS |
247 (3.4) $5! \times \sqrt{4} + 8 - 1$ Steve Wilson, 8/23 Lawrence, KS |
248 (2.4) $\dfrac{1}{.5\%} + 48$ Steve Wilson, 8/23 Lawrence, KS |
249 (2.2) $\dfrac{5 \times 4}{8\%} - 1$ Jonathan Frank, 2/23 Rye, NY |
250 (2.2) $\dfrac{45}{.18}$ Jonathan Frank, 12/22 Rye, NY |
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| 251 (2.2) $\dfrac{8}{4\%} + 51$ Steve Wilson, 1/23 Lawrence, KS |
252 (2.4) $\dfrac{5 \times 4 + 8}{.\overline{1}}$ Steve Wilson, 9/23 Lawrence, KS |
253 (3.4) $\dfrac{4!}{.1} + 8 + 5$ Steve Wilson, 9/23 Lawrence, KS |
254 (3.4) $(5! + 8 - 1) \times \sqrt{4}$ Steve Wilson, 9/23 Lawrence, KS |
255 (2.0) $85 \times (4 - 1)$ Jonathan Frank, 2/23 Rye, NY |
256 (3.0) $(5 - 4 + 1)^8$ Steve Wilson, 9/23 Lawrence, KS |
257 (3.2) $(5 \times .4)^8 + 1$ Steve Wilson, 9/23 Lawrence, KS |
258 (3.4) $(5! + 8 + 1) \times \sqrt{4}$ Steve Wilson, 10/23 Lawrence, KS |
259 (3.6) $\dfrac{85}{\sqrt{.\overline{1}}} + 4$ Steve Wilson, 10/23 Lawrence, KS |
260 (3.2) $4 \times \left( \sqrt[.5]{8} + 1 \right)$ Steve Wilson, 10/23 Lawrence, KS |
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| 261 (3.2) $\sqrt{4^8} + 5 \times 1$ Steve Wilson, 10/23 Lawrence, KS |
262 (3.2) $\sqrt{4^8} + 5 + 1$ Steve Wilson, 10/23 Lawrence, KS |
263 (3.6) $\dfrac{5!}{.\overline{4}} - 8 + 1$ Steve Wilson, 11/23 Lawrence, KS |
264 (2.4) $\dfrac{14 - .8}{5\%}$ Steve Wilson, 2/24 Lawrence, KS |
265 (3.8) $\dfrac{4!}{.1} + \sqrt{\sqrt{5^8}}$ Steve Wilson, 11/23 Lawrence, KS |
266 (3.8) $\dfrac{(8 - 5)\%}{.\overline{1}\pmf} - 4$ Steve Wilson, 2/24 Lawrence, KS |
267 (3.6) $\dfrac{85 + 4}{\sqrt{.\overline{1}}}$ Steve Wilson, 11/23 Lawrence, KS |
268 (3.8) $\left( \dfrac{5!}{.\overline{8}} - 1\right) \times \sqrt{4}$ Steve Wilson, 2/24 Lawrence, KS |
269 (3.6) $\dfrac{4! + 5}{.\overline{1}} + 8$ Steve Wilson, 11/23 Lawrence, KS |
270 (3.8) $\dfrac{5! \times \sqrt{4} \times 1}{.\overline{8}}$ Steve Wilson, 12/23 Lawrence, KS |
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| 271 (2.8) $\dfrac{.5}{.\overline{18}\%} - 4$ Steve Wilson, 2/25 Lawrence, KS |
272 (2.2) $\dfrac{14}{5\%} - 8$ Steve Wilson, 12/23 Lawrence, KS |
273 (3.8) $\dfrac{5!}{.\overline{4}} + \sqrt{8 + 1}$ Steve Wilson, 2/24 Lawrence, KS |
274 (3.6) $\dfrac{4!}{.\overline{1}} + 58$ Steve Wilson, 12/23 Lawrence, KS |
275 (3.6) $\dfrac{4! - \dfrac{1}{.5}}{8\%}$ Steve Wilson, 2/24 Lawrence, KS |
276 (3.4) $(5! + 18) \times \sqrt{4}$ Steve Wilson, 12/23 Lawrence, KS |
277 (3.6) $\dfrac{5!}{.\overline{4}} + 8 - 1$ Steve Wilson, 1/24 Lawrence, KS |
278 (3.6) $\dfrac{5!}{.\overline{4}} + 8 \times 1$ Steve Wilson, 1/24 Lawrence, KS |
279 (2.8) $\dfrac{.5}{.\overline{18}\%} + 4$ Steve Wilson, 2/25 Lawrence, KS |
280 (2.2) $\dfrac{18 - 4}{5\%}$ Steve Wilson, 1/24 Lawrence, KS |
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| 281 (3.4) $\dfrac{5! - 8}{.4} + 1$ Steve Wilson, 8/24 Lawrence, KS |
282 (3.4) $\dfrac{4! + 5}{.1} - 8$ Steve Wilson, 3/24 Lawrence, KS |
283 (2.4) $\dfrac{8 \times 4}{.\overline{1}} - 5$ Steve Wilson, 1/24 Lawrence, KS |
284 (2.4) $\dfrac{1}{.5\%} + 84$ Steve Wilson, 3/24 Lawrence, KS |
285 (3.4) $\dfrac{\sqrt{4}}{1\%} + 85$ Steve Wilson, 3/24 Lawrence, KS |
286 (3.8) $\dfrac{4! - 5!\%}{8\%} + 1$ Steve Wilson, 3/24 Lawrence, KS |
287 (3.6) $\dfrac{4! - 1}{8\%} - .5$ Steve Wilson, 4/24 Lawrence, KS |
288 (2.0) $48 \times (5 + 1)$ Jonathan Frank, 2/23 Rye, NY |
289 (3.4) $\sqrt[.5]{4! - 8 + 1}$ Steve Wilson, 4/24 Lawrence, KS |
290 (2.0) $58 \times (4 + 1)$ Jonathan Frank, 2/23 Rye, NY |
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| 291 (3.4) $\dfrac{58}{\sqrt{4\%}} + 1$ Steve Wilson, 4/24 Lawrence, KS |
292 (3.4) $\dfrac{5 + 1}{(\sqrt{4})\%} - 8$ Steve Wilson, 4/24 Lawrence, KS |
293 (2.4) $\dfrac{8 \times 4}{.\overline{1}} + 5$ Steve Wilson, 4/24 Lawrence, KS |
294 (3.4) $\dfrac{4!}{8\%} - 5 - 1$ Steve Wilson, 5/24 Lawrence, KS |
295 (3.4) $\dfrac{4!}{8\%} - 5 \times 1$ Steve Wilson, 5/24 Lawrence, KS |
296 (2.2) $\dfrac{148}{.5}$ Jonathan Frank, 3/23 Rye, NY |
297 (3.6) $\dfrac{5! - .8}{.4} - 1$ Steve Wilson, 8/24 Lawrence, KS |
298 (3.4) $\dfrac{4!}{.1} + 58$ Steve Wilson, 5/24 Lawrence, KS |
299 (3.4) $\dfrac{4!}{8\%} - 1^5$ Steve Wilson, 5/24 Lawrence, KS |
300 (2.2) $\dfrac{54}{.18}$ Jonathan Frank, 12/22 Rye, NY |
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| 301 (3.4) $\dfrac{4!}{8\%} + 1^5$ Steve Wilson, 6/24 Lawrence, KS |
302 (2.8) $\dfrac{.4}{.\overline{1}\%} - 58$ Steve Wilson, 6/24 Lawrence, KS |
303 (3.6) $\dfrac{5!}{.4} + \sqrt{8 + 1}$ Steve Wilson, 6/24 Lawrence, KS |
304 (2.0) $(81 - 5) \times 4$ Steve Wilson, 6/24 Lawrence, KS |
305 (3.4) $\dfrac{4!}{8\%} + 5 \times 1$ Steve Wilson, 6/24 Lawrence, KS |
306 (3.4) $\dfrac{4!}{8\%} + 5 + 1$ Steve Wilson, 7/24 Lawrence, KS |
307 (3.4) $\dfrac{5!}{.4} + 8 - 1$ Steve Wilson, 7/24 Lawrence, KS |
308 (2.4) $\dfrac{1}{.4\%} + 58$ Steve Wilson, 7/24 Lawrence, KS |
309 (3.4) $\dfrac{5!}{.4} + 8 + 1$ Steve Wilson, 7/24 Lawrence, KS |
310 (2.6) $\dfrac{1}{.\overline{4}\%} + 85$ Steve Wilson, 7/24 Lawrence, KS |
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| 311 (3.2) $(5 + 8) \times 4! - 1$ Steve Wilson, 8/24 Lawrence, KS |
312 (3.2) $(5 + 8) \times 4! \times 1$ Steve Wilson, 9/24 Lawrence, KS |
313 (3.2) $(5 + 8) \times 4! + 1$ Steve Wilson, 9/24 Lawrence, KS |
314 (3.4) $\dfrac{1}{4\pmf} + \sqrt[.5]{8}$ Steve Wilson, 9/24 Lawrence, KS |
315 (2.0) $45 \times (8 - 1)$ Jonathan Frank, 3/23 Rye, NY |
316 (3.2) $158 \times \sqrt{4}$ Steve Wilson, 2/25 Lawrence, KS |
317 (4.2) $\left(\sqrt{(.\overline{5}\%)^{-4}}\right)\% - 8 + 1$ Steve Wilson, 2/25 Lawrence, KS |
318 (3.4) $\dfrac{5!}{.4} + 18$ Steve Wilson, 9/24 Lawrence, KS |
319 (2.0) $81 \times 4 - 5$ Jonathan Frank, 3/23 Rye, NY |
320 (2.2) $\dfrac{48}{.15}$ Jonathan Frank, 3/23 Rye, NY |
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| 321 (3.4) $\dfrac{5! + 8}{.4} + 1$ Steve Wilson, 10/24 Lawrence, KS |
322 (2.2) $(81 - .5) \times 4$ Steve Wilson, 10/24 Lawrence, KS |
323 (2.0) $41 \times 8 - 5$ Satchel Koch, 1/22 Lawrence, KS |
324 (2.2) $(41 - .5) \times 8$ Steve Wilson, 10/24 Lawrence, KS |
325 (2.2) $\dfrac{8 + 5 \times 1}{4\%}$ Steve Wilson, 10/24 Lawrence, KS |
326 (2.0) $81.5 \times 4$ Steve Wilson, 8/24 Lawrence, KS |
327 (4.4) $\dfrac{8!}{5!} - \sqrt{\sqrt{(.\overline{1})^{-4}}}$ Steve Wilson, 2/25 Lawrence, KS |
328 (2.6) $4.\overline{5} \times \dfrac{8}{.\overline{1}}$ Steve Wilson, 2/25 Lawrence, KS |
329 (2.0) $81 \times 4 + 5$ Jonathan Frank, 4/23 Rye, NY |
330 (3.6) $\dfrac{8!}{5!} - (4 - 1)!$ Steve Wilson, 11/24 Lawrence, KS |
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| 331 (3.4) $\dfrac{8!}{5!} - 4 - 1$ Steve Wilson, 11/24 Lawrence, KS |
332 (2.0) $41.5 \times 8$ Jonathan Frank, 4/23 Rye, NY |
333 (2.0) $41 \times 8 + 5$ Jonathan Frank, 4/23 Rye, NY |
334 (3.6) $\dfrac{8!}{5!} - 1 \times \sqrt{4}$ Steve Wilson, 11/24 Lawrence, KS |
335 (2.4) $\dfrac{1}{.4\%} + 85$ Steve Wilson, 11/24 Lawrence, KS |
336 (2.0) $(85 - 1) \times 4$ Jonathan Frank, 4/23 Rye, NY |
337 (2.8) $\dfrac{4 - 1}{.\overline{8}\%} - .5$ Steve Wilson, 2/25 Lawrence, KS |
337 (2.8) $\dfrac{4 - 1}{.\overline{8}\%} + .5$ Steve Wilson, 2/25 Lawrence, KS |
339 (2.0) $85 \times 4 - 1$ Jonathan Frank, 5/23 Rye, NY |
340 (2.0) $85 \times 4 \times 1$ Maddy Malm, 9/21 Lawrence, KS |
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| 341 (2.0) $85 \times 4 + 1$ Jonathan Frank, 5/23 Rye, NY |
342 (2.2) $\dfrac{4}{1\%} - 58$ Steve Wilson, 12/24 Lawrence, KS |
343 (3.2) $(8 - 1)^{\sqrt{5 + 4}}$ Steve Wilson, 12/24 Lawrence, KS |
344 (2.0) $(81 + 5) \times 4$ Steve Wilson, 12/24 Lawrence, KS |
345 (3.4) $\dfrac{8 - 1}{(\sqrt{4})\%} - 5$ Steve Wilson, 12/24 Lawrence, KS |
346 (3.6) $\dfrac{1}{4\pmf} + 5! \times .8$ Steve Wilson, 2/25 Lawrence, KS |
347 (2.8) $\dfrac{.4}{.\overline{1}\%} - 8 - 5$ Steve Wilson, 2/25 Lawrence, KS |
348 (3.4) $15 \times (4! - .8)$ Steve Wilson, 1/25 Lawrence, KS |
349 (3.4) $\dfrac{8}{(\sqrt{4})\%} - 51$ Steve Wilson, 2/25 Lawrence, KS |
350 (2.2) $\dfrac{8 + 5 + 1}{4\%}$ Steve Wilson, 2/25 Lawrence, KS |
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| 351 (3.4) $\dfrac{4!}{8\%} + 51$ Steve Wilson, 1/25 Lawrence, KS |
352 (3.2) $15 \times 4! - 8$ Steve Wilson, 2/25 Lawrence, KS |
353 (3.8) $\dfrac{1}{.\overline{4}\%} + 5! + 8$ Steve Wilson, 2/25 Lawrence, KS |
354 (3.6) $(5! - \sqrt{4}) \times \sqrt{8 + 1}$ Steve Wilson, 2/25 Lawrence, KS |
355 (2.4) $\dfrac{15 - .8}{4\%}$ Steve Wilson, 2/25 Lawrence, KS |
356 (2.2) $\dfrac{18}{5\%} - 4$ Steve Wilson, 2/25 Lawrence, KS |
357 (2.8) $\dfrac{.4}{.\overline{1}\%} - 8 + 5$ Steve Wilson, 2/25 Lawrence, KS |
358 (2.4) $\dfrac{4 - .5}{1\%} + 8$ Steve Wilson, 1/25 Lawrence, KS |
359 (2.0) $45 \times 8 - 1$ Jonathan Frank, 5/23 Rye, NY |
360 (2.0) $18 \times 5 \times 4$ Jonathan Frank, 5/23 Rye, NY |
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| 361 (2.0) $45 \times 8 + 1$ Jonathan Frank, 5/23 Rye, NY |
362 (3.4) $\dfrac{1}{4\pmf} + 5! - 8$ Steve Wilson, 2/25 Lawrence, KS |
363 (2.8) $\dfrac{.4}{.\overline{1}\%} + 8 - 5$ Steve Wilson, 2/25 Lawrence, KS |
364 (2.2) $\dfrac{18}{5\%} + 4$ Steve Wilson, 2/25 Lawrence, KS |
365 (3.8) $((8 + 1)! + 5!)\pm + \sqrt{4}$ Steve Wilson, 2/25 Lawrence, KS |
366 (2.8) $\dfrac{.5}{.\overline{1}\%} - 84$ Steve Wilson, 2/25 Lawrence, KS |
367 (2.2) $\dfrac{15}{4\%} - 8$ Steve Wilson, 2/25 Lawrence, KS |
368 (2.2) $\dfrac{184}{.5}$ Jonathan Frank, 6/23 Rye, NY |
369 (3.4) $\dfrac{1}{.\overline{4}\%} + \dfrac{.8}{.\overline{5}\%}$ Steve Wilson, 2/25 Lawrence, KS |
370 (2.2) $\dfrac{8 \times 4 + 5}{.1}$ Steve Wilson, 2/25 Lawrence, KS |
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| 371 (3.6) $\dfrac{\sqrt{4}}{8\pmf} + 5! + 1$ Steve Wilson, 2/25 Lawrence, KS |
372 (3.4) $15 \times (4! + .8)$ Steve Wilson, 2/25 Lawrence, KS |
373 (2.4) $\dfrac{15 - 8\%}{4\%}$ Steve Wilson, 2/25 Lawrence, KS |
374 (3.4) $\dfrac{5 - \sqrt{4}}{8\pmf} - 1$ Steve Wilson, 2/25 Lawrence, KS |
375 (2.2) $\dfrac{15}{(8 - 4)\%}$ Steve Wilson, 2/25 Lawrence, KS |
376 (3.0) $\dfrac{.4}{.\overline{1}\%} + \dfrac{8}{.5}$ Steve Wilson, 2/25 Lawrence, KS |
377 (2.4) $\dfrac{15 + 8\%}{4\%}$ Steve Wilson, 2/25 Lawrence, KS |
378 (2.0) $54 \times (8 - 1)$ Steve Wilson, 1/25 Lawrence, KS |
379 (3.4) $\dfrac{4}{8\pmf} - 5! - 1$ Steve Wilson, 2/25 Lawrence, KS |
380 (2.6) $8.\overline{4} \times \dfrac{5}{.\overline{1}}$ Steve Wilson, 2/25 Lawrence, KS |
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| 381 (3.2) $81 \times 5 - 4!$ Jonathan Frank, 5/23 Rye, NY |
382 (3.4) $(.\overline{8} - 4\%) \times \dfrac{.5}{.\overline{1}\%}$ Steve Wilson, 2/25 Lawrence, KS |
383 (2.2) $\dfrac{15}{4\%} + 8$ Steve Wilson, 2/25 Lawrence, KS |
384 (2.4) $\dfrac{4}{1\%} - \dfrac{8}{.5}$ Steve Wilson, 2/25 Lawrence, KS |
385 (2.8) $\dfrac{1}{.\overline{4}\%} + \dfrac{8}{5\%}$ Steve Wilson, 2/25 Lawrence, KS |
386 (3.6) $\sqrt{\dfrac{8}{5\%\pmf}} - 14$ Steve Wilson, 2/25 Lawrence, KS |
387 (2.2) $\dfrac{4}{1\%} - 8 - 5$ Jonathan Frank, 5/23 Rye, NY |
388 (3.6) $(8 - 4!\%) \times \dfrac{5}{.1}$ Steve Wilson, 1/25 Lawrence, KS |
389 (3.8) $\dfrac{8}{(\sqrt{4})\%} - \sqrt{5! + 1}$ Steve Wilson, 2/25 Lawrence, KS |
390 (3.4) $\dfrac{8 - \dfrac15}{(\sqrt{4})\%}$ Steve Wilson, 2/25 Lawrence, KS |
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| 391 (3.4) $\dfrac{\sqrt{4}}{5\pmf} - 8 - 1$ Steve Wilson, 2/25 Lawrence, KS |
392 (2.6) $5.\overline{4} \times \dfrac{8}{.\overline{1}}$ Steve Wilson, 2/25 Lawrence, KS |
393 (3.4) $\dfrac{\sqrt{4}}{5\pmf} - 8 + 1$ Steve Wilson, 2/25 Lawrence, KS |
394 (3.4) $\dfrac{1}{.4\%} + \dfrac{.8}{.\overline{5}\%}$ Steve Wilson, 2/25 Lawrence, KS |
395 (2.2) $\dfrac{8 - 4}{1\%} - 5$ Steve Wilson, 2/25 Lawrence, KS |
396 (2.2) $\dfrac{8 \times 5}{.1} - 4$ Jonathan Frank, 4/23 Rye, NY |
397 (2.2) $\dfrac{4}{1\%} - 8 + 5$ Jonathan Frank, 5/23 Rye, NY |
398 (3.4) $\dfrac{8 \times 5}{.1} - \sqrt{4}$ Jonathan Frank, 12/22 Rye, NY |
399 (2.4) $\dfrac{8}{.4 \times 5\%} - 1$ Steve Wilson, 2/25 Lawrence, KS |
400 (2.4) $\dfrac{8}{.4 \times 1 \times 5\%}$ Jonathan Frank, 12/22 Rye, NY |
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