Equation

Try to reach a number by putting several other numbers in an equation. The equation may contain the following operators: +,-,*,/ and also ) and (. There is always just one solution. Yet one must consider that

(2-4)*(5-7)=(4-2)*(7-5)
8 -(9-5)/2=(5-9)/2+8
(9-8*7)*(3-5)=(8*7-9)*(5-3)
some methods are considered as equal, and likewise, as one solution.
Multiple numbers may not be used as one number, like 1 and 2 used as 12.
All puzzles need different methods to be solved.

Solutions




4 Numbers



1) Reach 1 with 5, 6, 6 and 9
2) Reach 2 with 1, 3, 3 and 17
3) Reach 2 with 3, 7, 9 and 9
4) Reach 21 with 2, 6, 6 and 6
5) Reach 22 with 3, 3, 11 and 18
6) Reach 35 with 1, 2, 7 and 9
7) Reach 35 with 2, 6, 8 and 9
8) Reach 8 with 2, 2, 9 and 9
9) Reach 84 with 2, 5, 6 and 6
10) Reach 13 with 1, 2, 2 and 19
11) Reach 24 with 1, 4, 6 and 9
12) Reach 26 with 4, 5, 9 and 8
13) Reach 3 with 1, 6, 7 and 7
14) Reach 3 with 2, 3, 3 and 54
15) Reach 35 with 2, 4, 6 and 8
16) Reach 4 with 8, 9, 9 and 9
17) Reach 54 with 4, 7, 8 and 8
18) Reach 7 with 2, 2, 5 and 24
19) Reach 8 with 1, 1, 7 and 9
20) Reach 1 with 4, 4, 5 and 9
21) Reach 10 with 4, 5, 9 and 8
22) Reach 12 with 1, 7, 8 and 9
23) Reach 16 with 3, 3, 14 and 18
24) Reach 2 with 1, 5, 8 and 8
25) Reach 2 with 3, 3, 7 and 7
26) Reach 4 with 1, 2, 4 and 19
27) Reach 54 with 1, 6, 7 and 9
28) Reach 6 with 4, 4, 8 and 9
29) Reach 70 with 3, 6, 8 and 8
30) Reach 14 with 3, 3, 16 and 18
31) Reach 17 with 2, 4, 5 and 9
32) Reach 2 with 1, 3, 4 and 26
33) Reach 28 with 3, 4, 7 and 9
34) Reach 3 with 1, 1, 1 and 9
35) Reach 39 with 6, 7, 8 and 9
36) Reach 4 with 1, 1, 6 and 7
37) Reach 4 with 5, 7, 9 and 9
38) Reach 41 with 1, 1, 5 and 9
39) Reach 45 with 1, 5, 8 and 9
40) Reach 1 with 1, 1, 3 and 9
41) Reach 1 with 3, 3, 3 and 36
42) Reach 1 with 7, 4, 8 and 8
43) Reach 11 with 1, 1, 7 and 8
44) Reach 13 with 1, 3, 9 and 9
45) Reach 29 with 3, 6, 7 and 9
46) Reach 3 with 2, 4, 5 and 18
47) Reach 4 with 3, 3, 8 and 8
48) Reach 50 with 1, 6, 11 and 11
49) Reach 1 with 1, 1, 6 and 9
50) Reach 2 with 1, 6, 11 and 11
51) Reach 26 with 4, 5, 6 and 9
52) Reach 3 with 1, 1, 1 and 8
53) Reach 6 with 3, 3, 4 and 8
54) Reach 7 with 3, 3, 11 and 14
55) Reach 71 with 4, 5, 6 and 7
56) Reach 90 with 5, 5, 6 and 8
57) Reach 99 with 1, 4, 5 and 5
58) Reach 10 with 3, 4, 8 and 8
59) Reach 11 with 3, 3, 3 and 17
60) Reach 14 with 1, 3, 5 and 9
61) Reach 2 with 1, 4, 4 and 19
62) Reach 4 with 1, 1, 1 and 9
63) Reach 4 with 1, 5, 5 and 9
64) Reach 41 with 4, 5, 6 and 9
65) Reach 66 with 2, 5, 5 and 8
66) Reach 9 with 5, 7, 10 and 10
67) Reach 1 with 2, 2, 3 and 14
68) Reach 14 with 1, 2, 8 and 13
69) Reach 16 with 3, 6, 9 and 9
70) Reach 3 with 3, 12, 13 and 15
71) Reach 3 with 5, 5, 5 and 9
72) Reach 58 with 2, 5, 6 and 7
73) Reach 7 with 3, 5, 5 and 8
74) Reach 72 with 2, 3, 6 and 7
75) Reach 8 with 5, 5, 6 and 9
76) Reach 1 with 1, 7, 8 and 9
77) Reach 1 with 2, 3, 3 and 19
78) Reach 13 with 2, 8, 9 and 9
79) Reach 14 with 3, 3, 7 and 11
80) Reach 2 with 3, 14, 17 and 18
81) Reach 3 with 1, 2, 2 and 14
82) Reach 4 with 1, 2, 2 and 13
83) Reach 90 with 2, 3, 5 and 3
84) Reach 97 with 1, 4, 6 and 4
85) Reach 14 with 5, 6, 8 and 9
86) Reach 2 with 1, 3, 3 and 19
87) Reach 29 with 2, 5, 7 and 9
88) Reach 3 with 1, 2, 2 and 18
89) Reach 5 with 2, 9, 9 and 9
90) Reach 60 with 2, 3, 5 and 8
91) Reach 66 with 2, 6, 8 and 9
92) Reach 96 with 1, 7, 2 and 6
93) Reach 96 with 2, 5, 8 and 9





5 Numbers

1) Reach 100 with 8,4,2,2 and 1
2) Reach 79 with 8,8,6,3 and 2
3) Reach 107 with 9,8,3,2 and 1
4) Reach 39 with 9,7,2,1 and 1
5) Reach 109 with 9,8,3,2 and 1
6) Reach 133 with 9,8,6,4 and 2
7) Reach 149 with 9,8,4,3 and 2
8) Reach 15 with 9,9,1,1 and 1
9) Reach 171 with 7,7,6,4 and 2
10) Reach 186 with 7,5,4,3 and 2
11) Reach 189 with 9,7,7,4 and 3
12) Reach 25 with 8,7,7,6 and 1
13) Reach 270 with 9,7,6,5 and 4
14) Reach 3 with 9,9,9,9 and 8
15) Reach 32 with 9,9,9,2 and 1
16) Reach 33 with 9,9,9,5 and 1
17) Reach 44 with 9,8,7,1 and 1
18) Reach 500 with 9,8,7,2 and 1
19) Reach 63 with 7,6,6,5 and 1
20) Reach 68 with 8,8,8,5 and 3
21) Reach 79 with 9,5,3,2 and 2
22) Reach 94 with 9,9,8,2 and 1
23) Reach 10 with 7,7,6,6 and 6
24) Reach 121 with 9,8,6,3 and 1
25) Reach 135 with 8,6,4,3 and 2
26) Reach 17 with 8,7,7,6, and 1
27) Reach 200 with 7,6,5,3 and 2
28) Reach 213 with 8,7,6,4 and 2
29) Reach 242 with 9,8,5,4 and 2
30) Reach 26 with 8,8,8,4 and 1
31) Reach 31 with 9,9,9,2 and 1
32) Reach 36 with 9,7,7,1 and 1
33) Reach 41 with 8,6,4,2 and 2
34) Reach 42 with 9,9,5,5 and 3
35) Reach 55 with 8,8,6,6 and 4
36) Reach 60 with 9,8,1,1 and 1
37) Reach 61 with 5,4,3,2 and 2
38) Reach 61 with 9,6,5,3 and 3
39) Reach 62 with 9,9,3,3 and 2
40) Reach 65 with 9,7,6,6 and 6
41) Reach 77 with 9,9,6,3 and 1
42) Reach 98 with 9,7,3,3 and 1
43) Reach 104 with 9,9,8,8 and 2
44) Reach 12 with 9,9,9,1 and 1
45) Reach 131 with 9,9,8,3 and 2
46) Reach 138 with 9,9,8,5 and 1
47) Reach 14 with 9,9,8,8 and 1
48) Reach 166 with 9,7,6,4 and 2
49) Reach 167 with 7,6,4,3 and 3
50) Reach 192 with 9,4,3,2 and 1
51) Reach 207 with 7,7,5,4 and 2
52) Reach 65 with 9,9,6,5 and 4
53) Reach 244 with 8,7,4,3 and 2
54) Reach 27 with 8,7,7,1 and 1
55) Reach 3 with 9,9,8,8 and 8
56) Reach 35 with 9,9,7,1 and 1
57) Reach 39 with 8,8,8,6 and 2
58) Reach 43 with 9,8,7,1 and 1
59) Reach 47 with 6,6,6,3 and 2
60) Reach 47 with 8,8,4,2 and 2
61) Reach 68 with 8,8,7,7 and 2
62) Reach 80 with 9,9,7,6 and 3
63) Reach 89 with 9,9,6,4 and 3
64) Reach 113 with 8,5,4,3 and 2
65) Reach 125 with 7,7,5,2 and 1
66) Reach 139 with 9,8,7,4 and 2
67) Reach 14 with 9,9,9,8 and 1
68) Reach 15 with 8,8,8,8 and 4
69) Reach 159 with 8,6,5,4 and 3
70) Reach 196 with 8,8,7,2 and 1
71) Reach 20 with 8,8,7,1 and 1
72) Reach 26 with 9,8,8,7 and 7
73) Reach 41 with 9,9,9,8 and 2
74) Reach 5 with 8,8,8,8 and 8
75) Reach 58 with 9,6,5,5 and 1
76) Reach 240 with 9,9,8,5 and 1
77) Reach 61 with 9,9,9,9 and 2
78) Reach 62 with 9,9,7,4 and 1
79) Reach 67 with 9,9,6,5 and 4
80) Reach 8 with 7,7,7,7 and 4
81) Reach 81 with 8,8,7,4 and 2
82) Reach 87 with 8,8,6,5 and 2
83) Reach 92 with 8,5,5,3 and 2
84) Reach 101 with 5,5,4,2 and 1
85) Reach 102 with 9,9,5,4 and 2
86) Reach 11 with 8,8,7,7 and 1
87) Reach 122 with 6,5,4,3 and 2
88) Reach 13 with 9,9,8,1 and 1
89) Reach 142 with 9,9,7,4 and 1
90) Reach 162 with 3,3,3,3 and 2
91) Reach 185 with 9,9,5,4 and 2
92) Reach 20 with 9,9,9,3 and 3
93) Reach 21 with 9,9,5,1 and 1
94) Reach 21 with 9,9,8,7 and 1
95) Reach 232 with 9,7,4,3 and 2
96) Reach 25 with 7,7,7,2 and 1
97) Reach 35 with 9,7,1,1 and 1
98) Reach 44 with 9,9,6,5 and 1
99) Reach 57 with 8,8,4,3 and 2
100) Reach 6 with 9,9,9,1 and 1
101) Reach 67 with 9,9,6,3 and 2
102) Reach 91 with 9,9,8,5 and 1
103) Reach 90 with 9,9,8,6 and 1
104) Reach 11 with 8,8,8,7 and 1
105) Reach 115 with 6,5,4,2 and 1
106) Reach 14 with 9,9,1,1 and 1
107) Reach 20 with 8,8,7,7 and 1
108) Reach 23 with 9,9,7,7 and 3
109) Reach 248 with 8,7,7,4 and 2
110) Reach 25 with 7,7,7,7 and 2
111) Reach 27 with 9,8,7,7 and 1
112) Reach 288 with 7,6,4,3 and 2
113) Reach 29 with 9,7,7,1 and 1
114) Reach 44 with 9,7,7,1 and 1
115) Reach 52 with 8,8,2,1 and 1
116) Reach 54 with 9,7,4,4 and 4
117) Reach 540 with 9,8,5,3 and 2
118) Reach 60 with 7,7,6,6 and 1
119) Reach 60 with 9,9,7,7 and 2
120) Reach 77 with 9,9,9,2 and 1
121) Reach 86 with 8,7,7,5 and 1
122) Reach 97 with 9,6,6,5 and 3
123) Reach 116 with 9,9,7,2 and 1
124) Reach 13 with 8,8,6,6 and 6
125) Reach 153 with 8,5,4,3 and 2
126) Reach 68 with 9,9,6,3 and 1
127) Reach 201 with 9,9,7,3 and 2
128) Reach 22 with 9,9,8,1 and 1
129) Reach 25 with 9,9,9,8 and 4
130) Reach 27 with 8,8,8,2 and 2
131) Reach 28 with 9,7,1,1 and 1
132) Reach 320 with 9,8,4,3 and 2
133) Reach 37 with 9,9,7,1 and 1
134) Reach 37 with 9,9,9,7 and 2
135) Reach 39 with 9,8,2,1 and 1
136) Reach 44 with 9,8,8,7 and 1
137) Reach 55 with 9,7,4,1 and 1
138) Reach 58 with 9,6,3,3 and 1
139) Reach 74 with 7,4,3,2 and 1
140) Reach 81 with 8,6,6,4 and 2
141) Reach 82 with 9,9,3,3 and 2
142) Reach 85 with 8,8,4,2 and 1
143) Reach 10 with 7,7,1,1 and 1
144) Reach 102 with 7,5,5,4 and 2
145) Reach 109 with 9,7,5,2 and 1
146) Reach 11 with 8,8,1,1 and 1
147) Reach 12 with 9,8,8,8 and 8
148) Reach 121 with 7,7,5,3 and 2
149) Reach 138 with 9,8,8,7 and 3
150) Reach 141 with 6,4,3,2 and 1
151) Reach 144 with 5,4,3,2 and 1
152) Reach 198 with 8,5,5,3 and 2
153) Reach 22 with 9,9,6,6 and 6
154) Reach 28 with 8,8,8,7 and 1
155) Reach 58 with 9,9,8,2 and 1
156) Reach 31 with 9,9,6,6 and 3
157) Reach 38 with 8,7,7,5 and 1
158) Reach 46 with 9,8,8,7 and 4
159) Reach 57 with 7,6,5,1 and 1
160) Reach 65 with 9,8,8,4 and 1
161) Reach 78 with 9,9,5,5 and 4
162) Reach 9 with 7,7,6,6 and 6
163) Reach 108 with 8,8,3,2 and 1
164) Reach 119 with 5,4,3,2 and 1
165) Reach 134 with 8,7,7,3 and 2
166) Reach 142 with 7,5,4,1 and 1
167) Reach 143 with 8,7,7,4 and 2
168) Reach 162 with 6,5,5,3 and 2
169) Reach 175 with 8,7,4,3 and 2
170) Reach 193 with 9,8,7,4 and 2
171) Reach 22 with 8,8,8,4 and 1
172) Reach 231 with 7,6,5,3 and 2
173) Reach 27 with 6,6,5,1 and 1
174) Reach 270 with 9,8,6,5 and 1
175) Reach 31 with 8,8,8,5 and 3
176) Reach 32 with 9,9,8,8 and 7
177) Reach 38 with 9,8,8,7 and 2
178) Reach 40 with 9,9,3,3 and 2
179) Reach 51 with 7,6,6,5 and 1
180) Reach 73 with 4,3,3,2 and 1
181) Reach 85 with 9,9,8,1 and 1
182) Reach 86 with 9,7,7,2,1
183) Reach 107 with 6,5,3,2 and 1
184) Reach 114 with 9,9,8,5 and 2
185) Reach 126 with 7,6,5,1 and 1
186) Reach 139 with 7,7,4,3 and 2
187) Reach 196 with 8,7,6,2 and 2
188) Reach 180 with 9,9,5,2 and 2
189) Reach 19 with 9,8,8,7 and 7
190) Reach 224 with 9,8,8,7 and 1
191) Reach 23 with 9,9,9,2 and 1
192) Reach 243 with 9,8,7,2 and 1
193) Reach 27 with 8,8,8,4 and 2
194) Reach 275 with 9,7,7,4 and 2
195) Reach 29 with 7,7,7,5 and 2
196) Reach 31 with 9,9,8,7 and 1
197) Reach 4 with 8,7,7,7 and 7
198) Reach 83 with 9,9,3,3 and 1
199) Reach 86 with 9,9,7,4 and 1
200) Reach 89 with 9,4,3,3 and 2
201) Reach 97 with 9,7,7,3 and 2
202) Reach 294 with 9,8,6,2 and 1


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