index
int64
target
int64
available_numbers
list
solutions
list
101
5
[ 22, 28, 44, 56, 61, 63, 67, 76, 86, 93 ]
[ "((((61+67)-86)-93)+56)", "(28+(44-67))", "(63-(86-28))", "((22-93)+76)" ]
102
5
[ 5, 6, 7, 12, 26, 29, 46, 55, 62 ]
[ "(((62+5)-(29+26))-7)", "((29/(26-55))+6)", "((12*5)-55)", "((46-29)-12)" ]
103
5
[ 7, 8, 26, 27, 32, 34, 42, 63, 68, 79 ]
[ "((32-34)+7)", "(((26-68)+(8+7))+32)", "(63-(32+26))", "(63-(((26+79)-42)+(27-32)))" ]
104
5
[ 1, 2, 4, 5, 8, 10, 45, 60, 75, 95 ]
[ "((60+95)+((8-10)*75))", "((5+75)/(2*8))", "((45+5)/10)", "((10/8)/(1/4))" ]
105
5
[ 10, 12, 16, 17, 54, 56, 73, 80, 87, 94 ]
[ "(87+(12-94))", "(73-(12+56))", "((12-17)+10)", "((12-54)-((16-80)+17))" ]
106
5
[ 20, 26, 35, 43, 50, 52, 58, 86, 88, 93, 98 ]
[ "(52-((26*(88-86))+(93-98)))", "((98-43)-50)", "(20-(58-43))", "(98-(58+35))" ]
107
5
[ 4, 17, 32, 45, 65, 72, 73, 79, 81 ]
[ "(45-(72-32))", "((81-4)-72)", "((73-72)+4)", "((((65+32)+4)-79)-17)" ]
108
5
[ 6, 10, 16, 21, 31, 36, 62, 69, 80, 90 ]
[ "(((31-21)*10)/(36-16))", "(10-(80/16))", "((16-6)/(62/31))", "(((16+10)-90)+69)" ]
109
5
[ 9, 18, 26, 39, 50, 54, 58, 66, 67, 94 ]
[ "(94-(39+50))", "((18-(39-(66-94)))+54)", "(((67+58)-54)-66)", "((26-(9-54))-66)" ]
110
5
[ 10, 14, 15, 30, 33, 39, 40, 68, 75 ]
[ "(75-(40+30))", "((40+33)-68)", "((30+14)-39)", "((10/30)*15)" ]
111
5
[ 8, 12, 20, 23, 38, 40, 45, 78, 93, 96 ]
[ "((78+40)-(20+93))", "(23+(78-96))", "(45+(38-78))", "(20/(12-8))" ]
112
5
[ 3, 17, 21, 24, 29, 31, 35, 44, 64, 70, 77, 79 ]
[ "(44+(31-70))", "(((31-17)+79)-((70+21)-3))", "(((77+3)-(29+70))+24)", "(64-(24+35))" ]
113
5
[ 4, 10, 25, 30, 31, 32, 37, 39, 48, 64, 71, 92 ]
[ "(25+(10-30))", "((92-48)-(64-25))", "(30-(64+(32-71)))", "((25-(31+4))/(37-39))" ]
114
5
[ 1, 15, 20, 28, 45, 47, 56, 62, 75, 81 ]
[ "(1+((45+62)-(75+28)))", "(75/(1*15))", "((15+(56+62))-(81+47))", "((47-62)+20)" ]
115
5
[ 9, 14, 51, 53, 57, 77, 81, 87, 96, 97, 99 ]
[ "((53-(57+96))/(77-97))", "((51+53)-99)", "(87-(96-14))", "(14-(81/9))" ]
116
5
[ 5, 7, 22, 24, 26, 39, 45, 46, 90 ]
[ "(7+((39+5)-46))", "(90-(46+39))", "((22+7)-24)", "(24+(26-45))" ]
117
5
[ 2, 12, 18, 28, 36, 40, 44, 55, 78, 81 ]
[ "((2+81)-78)", "((2+78)/(28-12))", "(81-(40+36))", "(12-((18-55)+44))" ]
118
5
[ 16, 22, 38, 48, 56, 67, 69, 72, 73, 76, 83, 98, 100 ]
[ "(16-(83-72))", "(38+(100-(83+(98-48))))", "((22+76)-((38+(56+72))-73))", "(((76+69)-73)-67)" ]
119
5
[ 7, 13, 15, 18, 38, 40, 45, 50, 59, 70, 85, 89 ]
[ "((38+59)-(85+7))", "((70-13)-(45+7))", "(((40-18)-89)+(13+59))", "((70-15)-50)" ]
120
5
[ 22, 28, 34, 42, 47, 51, 52, 84, 89, 93 ]
[ "((42-28)+(47-(34+22)))", "(47-(84-42))", "((51-93)+47)", "(52-(89-42))" ]
121
5
[ 13, 15, 23, 26, 30, 36, 49, 51, 53, 61, 69, 89, 90, 91, 96 ]
[ "((15+((91-(69+51))-30))+49)", "(89-((49-26)+61))", "(((90-96)+(61+26))-(53+23))", "(((13-23)+51)-36)" ]
122
5
[ 1, 5, 6, 8, 13, 24, 40, 42, 49, 50, 58, 73, 93 ]
[ "(((1+5)-50)+49)", "(1-(((40+6)-8)-42))", "((13*6)-73)", "((93-(58+24))-6)" ]
123
5
[ 3, 4, 8, 13, 14, 28, 33, 52, 58, 66, 88 ]
[ "((8-(33+58))+88)", "((66-88)+(13+14))", "((3+14)-(4+8))", "(33+((28-52)-4))" ]
124
5
[ 11, 12, 18, 27, 35, 37, 51, 55, 67, 79, 82, 88, 95, 97 ]
[ "(27+(88/(51-55)))", "(95-((55/11)*18))", "((((51+97)+79)+18)/(37+12))", "((18+37)-(82+(35-67)))" ]
125
5
[ 4, 11, 13, 19, 22, 26, 32, 34, 44, 54, 59, 64, 68, 78, 80, 81, 100 ]
[ "(54-(13-(64-(78+22))))", "((26+68)-((19+81)-11))", "(100/(80/4))", "(32+((59+34)+(4-(80+44))))" ]
126
6
[ 4, 14, 21, 25, 33, 57, 59, 62, 63, 78 ]
[ "((21-63)-(14-62))", "((25-33)+14)", "((21*4)-78)", "((59-57)+4)" ]
127
6
[ 1, 9, 19, 22, 48, 54, 61 ]
[ "(9-(22-19))", "((54/9)/1)", "((61-54)-1)", "(48-(61-19))" ]
128
6
[ 4, 9, 11, 15, 20, 24, 29, 32, 45 ]
[ "(24+(11-29))", "(20-(29-15))", "((((9-4)-15)-29)+45)", "(9+(29-32))" ]
129
6
[ 6, 13, 15, 25, 42, 60, 70, 76, 77 ]
[ "(42/(13-6))", "((77+13)/15)", "(15/(6*(25/60)))", "((25+(70-76))-13)" ]
130
6
[ 2, 27, 28, 35, 58, 59, 70, 81, 92 ]
[ "((70+92)/27)", "((92-58)-28)", "(59+(28-81))", "((2-59)+(28+35))" ]
131
6
[ 4, 14, 16, 35, 40, 43, 54, 64, 71, 89, 100 ]
[ "(71-((16+35)+14))", "((71-(43-(14+64)))-100)", "((4-(89-35))+(40+16))", "((64-54)-4)" ]
132
6
[ 2, 7, 24, 27, 34, 50, 64, 77, 80, 82, 85 ]
[ "(64+(27-85))", "(2*(85-82))", "((7+(77/(50+27)))-2)", "((((80-82)-2)-24)+34)" ]
133
6
[ 1, 6, 10, 11, 37, 41, 55, 66, 72 ]
[ "((41-72)+37)", "(72-(1*66))", "(66-(6*10))", "((72-55)-11)" ]
134
6
[ 4, 14, 16, 26, 29, 48, 50, 58, 68, 71, 90 ]
[ "((71+29)-(58+(50-14)))", "((16-68)+58)", "((50+(4-(90+26)))+68)", "(26+(48-68))" ]
135
6
[ 18, 20, 24, 25, 28, 35, 45, 62, 81, 92, 99 ]
[ "(62-((92+45)-81))", "((24-99)+81)", "(25+((45+35)-99))", "((18+20)+(28-(35+25)))" ]
136
6
[ 6, 12, 20, 22, 24, 35, 38, 40, 46, 52, 54, 74, 84, 91 ]
[ "((38-(91+24))-((6-54)-35))", "((24-6)+((22+40)-74))", "(22-(52-(24+12)))", "(46+((40-84)*(20/22)))" ]
137
6
[ 2, 6, 8, 18, 29, 47, 59, 60, 76, 88 ]
[ "((47+29)+(6-76))", "((18+47)-59)", "((47*2)-88)", "(60/(2+8))" ]
138
6
[ 5, 18, 23, 31, 32, 37, 60, 72, 78, 84, 96 ]
[ "((72+(5+31))/18)", "(((84-32)/((96+60)/72))-18)", "((84-23)-(18+37))", "((78+60)/23)" ]
139
6
[ 17, 24, 31, 37, 44, 49, 50, 52, 55, 76, 93, 99 ]
[ "(17+(37-(31-(76-93))))", "(44-(93-55))", "((50+55)-99)", "((52-49)*((24+50)/37))" ]
140
6
[ 1, 29, 30, 35, 46, 49, 58, 61, 65, 73 ]
[ "((65-1)-58)", "((65/1)+(29-((73+61)-46)))", "(49+(30-73))", "(1-(30-35))" ]
141
6
[ 14, 36, 39, 40, 44, 55, 79, 80, 85, 98, 99 ]
[ "((98-55)-(80-((40-36)+39)))", "((55-85)+36)", "(36+(14-44))", "(99-(14+79))" ]
142
6
[ 16, 20, 23, 39, 43, 53, 54, 56, 69, 81, 95 ]
[ "(((54-(81+56))+16)+(53+20))", "(69-(20+43))", "((43+95)/23)", "((23+39)-56)" ]
143
6
[ 2, 9, 12, 25, 32, 36, 49, 60, 67, 80, 86 ]
[ "((36/2)-12)", "(((2-49)+(67-12))*(60/80))", "((67-86)+25)", "((86-32)/9)" ]
144
6
[ 15, 31, 33, 48, 52, 55, 59, 72, 82, 85, 94 ]
[ "(((85-15)-33)-31)", "((55+33)-82)", "(85-(59+(72-52)))", "((48-94)+52)" ]
145
6
[ 3, 8, 21, 31, 42, 58, 71, 74, 79, 88 ]
[ "(21+((74-31)-58))", "((88-8)-74)", "((3-71)+74)", "((74*3)/(79-42))" ]
146
6
[ 3, 13, 14, 34, 38, 41, 56, 60, 73, 77, 93 ]
[ "(((41+56)-77)-14)", "(34+(13-41))", "((3-38)+41)", "(73-(34-(60-93)))" ]
147
6
[ 2, 4, 22, 50, 57, 66, 68, 70, 75 ]
[ "((70+2)-66)", "((50+22)-66)", "((57+75)/22)", "(68+(4-66))" ]
148
6
[ 9, 25, 28, 31, 40, 43, 49, 61, 83, 97, 100 ]
[ "((31-28)-(97-100))", "(9-(28-25))", "((83-28)-49)", "(((49-43)*61)-(9*40))" ]
149
6
[ 7, 28, 38, 40, 42, 44, 45, 69, 71, 72, 77, 81, 86 ]
[ "((86+69)-(72+77))", "(71+(7-72))", "(7+(44-45))", "((40-(38+42))-((28+7)-81))" ]
150
6
[ 4, 9, 10, 13, 21, 22, 26, 28, 30, 46, 48, 50, 56, 81, 88, 93, 99, 100 ]
[ "((30+(100/10))+(22-56))", "(((46-93)+81)-28)", "((99-9)-(88-4))", "(((13+(48-50))-26)+21)" ]
151
8
[ 1, 2, 5, 38, 48, 74, 80, 87 ]
[ "(2-(74-80))", "((48-38)-2)", "(87+(1-80))", "((5-1)*2)" ]
152
8
[ 12, 13, 22, 26, 27, 36, 44, 54, 64, 70 ]
[ "(12-((44+64)/27))", "((54-(70+13))-(27-64))", "((22+12)-26)", "((70-26)-36)" ]
153
8
[ 10, 16, 19, 21, 27, 30, 36, 67, 75, 94 ]
[ "((75-94)+27)", "(((36+30)-(10+75))+27)", "(16+(67-75))", "(19+(10-21))" ]
154
8
[ 4, 5, 16, 22, 24, 44, 47, 49, 52, 67, 80, 81 ]
[ "(((52+49)-(24+4))-(81-16))", "(52-(44*(5-4)))", "((67+(22-49))/5)", "(80-(52-(47-67)))" ]
155
8
[ 2, 13, 17, 27, 33, 38, 43, 46, 61, 95, 99 ]
[ "(((99+2)-(46+17))-(43-13))", "((99-95)*2)", "(38+(13-43))", "((46-27)+((17+33)-61))" ]
156
8
[ 14, 19, 25, 47, 61, 62, 73, 83, 94 ]
[ "((94-61)-25)", "((19+14)-25)", "(25+((47-83)+19))", "(19-(73-62))" ]
157
8
[ 1, 9, 10, 41, 54, 61, 87, 88 ]
[ "(88/(10+1))", "(87+(9-88))", "(54+(41-87))", "(61-(54-1))" ]
158
8
[ 3, 4, 6, 31, 36, 86, 97, 100 ]
[ "((100-86)-6)", "(97-(3+86))", "((4/3)*6)", "(36-(31-3))" ]
159
8
[ 4, 27, 28, 30, 31, 46, 59, 74, 97 ]
[ "(4*((46+30)-74))", "((31-97)+74)", "(59+(46-97))", "(4-(28-(59-27)))" ]
160
8
[ 8, 9, 57, 58, 68, 69, 74, 78, 79 ]
[ "(8/(58-57))", "(74-(57+9))", "((78+9)-79)", "(9-(69-68))" ]
161
8
[ 1, 4, 16, 28, 35, 45, 53, 61, 89, 95 ]
[ "(((1+(35+61))-95)*4)", "((1+35)-28)", "((53-45)*1)", "((16+53)+(28-89))" ]
162
8
[ 6, 25, 32, 38, 49, 56, 65, 67, 71, 81, 84, 88 ]
[ "((49-56)-((81-25)-71))", "(67+(25-84))", "((32-38)*(84/(25-88)))", "((6+67)-65)" ]
163
8
[ 4, 20, 21, 43, 53, 55, 67, 90 ]
[ "((53-4)-(20+21))", "((4-(43-67))-20)", "((43-55)+20)", "((43+55)-90)" ]
164
8
[ 1, 37, 43, 48, 57, 63, 69, 70, 73, 86 ]
[ "(57-(86-37))", "((73-(48-69))-86)", "(43-((69-70)+(37-1)))", "((70-63)+1)" ]
165
8
[ 6, 15, 17, 20, 34, 60, 70, 72, 79 ]
[ "(70-(79-17))", "(6-(15-17))", "(34-(20+6))", "((60-72)+20)" ]
166
8
[ 24, 36, 45, 51, 73, 80, 89 ]
[ "((24+(80-51))-45)", "(73-(89-24))", "(89-(45+36))", "((45-73)+36)" ]
167
8
[ 6, 7, 8, 24, 38, 44, 45, 47, 52, 60, 96 ]
[ "(8/(7-6))", "(7+(45-44))", "(38-((47+7)-24))", "((52-(96+8))+60)" ]
168
8
[ 12, 25, 27, 39, 40, 42, 46, 49, 55, 60, 72 ]
[ "((46-(40+25))+27)", "(60-(40+12))", "(55-(72-25))", "(((39+60)-49)-42)" ]
169
8
[ 3, 12, 19, 21, 24, 29, 35, 39, 52, 63, 84, 91 ]
[ "(((12-29)-(3+24))+52)", "((29-84)+63)", "(((21*29)+(84+35))/91)", "((19-29)-(21-39))" ]
170
8
[ 10, 11, 13, 42, 43, 61, 77, 93, 96 ]
[ "((42-77)+43)", "((61-96)+43)", "(11-(96-93))", "((93-13)/10)" ]
171
8
[ 2, 5, 11, 13, 17, 32, 35, 36, 40, 66, 68, 90 ]
[ "(5-(32-35))", "((66-5)-(17+36))", "((36+68)/13)", "((90+2)+((11-40)+(13-68)))" ]
172
8
[ 9, 16, 18, 34, 35, 39, 41, 51, 56, 61, 64, 66, 100 ]
[ "(56/((16+(34-61))+18))", "(((39+34)+35)-100)", "(100-(51+41))", "(56/((9+64)-66))" ]
173
8
[ 3, 5, 15, 16, 28, 33, 46, 48, 57, 66, 78, 82, 91, 92, 94 ]
[ "(92-(28*((5+94)/33)))", "((15+((28/16)*48))-91)", "((3+57)/((15/66)*33))", "((48-46)*(82-78))" ]
174
8
[ 1, 14, 20, 26, 31, 34, 65, 73, 74, 80, 96 ]
[ "((1+80)-73)", "((31-96)+73)", "(34-((31+(74-14))-65))", "((26/65)*20)" ]
175
8
[ 4, 14, 18, 20, 26, 27, 48, 50, 53, 57, 62, 71, 72, 76, 84, 86, 100 ]
[ "((27-57)-(62-100))", "((26-(4+71))+57)", "(48+((20-(86+50))+(62+14)))", "((76-84)/(53-(72-18)))" ]
176
9
[ 2, 18, 20, 23, 26, 33, 40, 42, 46, 51, 59 ]
[ "((2*18)/(46-42))", "((33+2)-26)", "((18/40)*20)", "(((23-42)-(51-20))+59)" ]
177
9
[ 2, 6, 19, 21, 24, 34, 37, 63, 80, 83, 100 ]
[ "(100-((21-19)+(6+83)))", "(37+(6-34))", "((63-37)+(2-19))", "((24+(63-80))+2)" ]
178
9
[ 1, 10, 15, 18, 19, 38, 43, 44, 45, 75 ]
[ "((45/75)*15)", "((15+38)-44)", "(10+(43-44))", "(10/((1+(38-19))/18))" ]
179
9
[ 3, 10, 13, 15, 39, 63, 70, 84, 85, 88 ]
[ "(((39-85)-15)+70)", "((88-85)*3)", "(63/(10-3))", "(13-(88-84))" ]
180
9
[ 9, 24, 35, 37, 54, 57, 66, 81, 98 ]
[ "(24+(66-81))", "((24+57)/9)", "(81-(35+37))", "((98-35)-54)" ]
181
9
[ 10, 11, 21, 41, 53, 71, 72, 73 ]
[ "((41-11)-21)", "(21+(41-53))", "(71-(73-11))", "(72-(10+53))" ]
182
9
[ 7, 26, 28, 30, 53, 55, 72, 81, 84, 93 ]
[ "((55+26)-72)", "((30+72)-93)", "((7+55)-53)", "((((81-53)-28)+93)-84)" ]
183
9
[ 15, 23, 37, 38, 42, 51, 58, 61, 82, 96 ]
[ "(15-((37-82)+51))", "(61-((38+51)-37))", "((51+38)+((58-96)-42))", "(82-(96-23))" ]
184
9
[ 5, 6, 7, 9, 45, 53, 89, 91, 93 ]
[ "(53-(89-45))", "((91+7)-89)", "(93+(5-89))", "(9/(6-5))" ]
185
9
[ 1, 12, 39, 42, 65, 69, 75, 77, 80 ]
[ "(39+(12-42))", "(42-(39-(75-69)))", "(77-(80-12))", "(75-(65+1))" ]
186
9
[ 3, 11, 19, 20, 22, 39, 57, 86 ]
[ "((39-11)-19)", "((57*3)/19)", "((22-19)*3)", "((86-57)-20)" ]
187
9
[ 8, 16, 17, 25, 40, 49, 61, 66, 69, 84, 99 ]
[ "((66-49)-(16-8))", "(8+((84-99)+16))", "(((69-61)-((49-8)-25))+17)", "((66-17)-40)" ]
188
9
[ 1, 12, 41, 44, 51, 54, 57, 62, 73, 80, 88, 96 ]
[ "(((51*1)+80)-((96+88)-62))", "((73-(51+57))+44)", "((12-44)+41)", "((12+54)-57)" ]
189
9
[ 4, 6, 17, 20, 28, 30, 79, 92, 98 ]
[ "((98-92)*(30/20))", "(6+(20-17))", "((30-17)-4)", "(28-(98-79))" ]
190
9
[ 2, 4, 7, 14, 31, 47, 59, 64, 81, 84 ]
[ "(((2-4)-59)-(14-84))", "(84-(4+(7+64)))", "((59+31)-81)", "(47-(31+7))" ]
191
9
[ 20, 23, 25, 29, 36, 42, 50, 54, 72, 81 ]
[ "((36-50)+23)", "(20+(25-36))", "((81*(29-23))/54)", "((81/72)*(50-42))" ]
192
9
[ 7, 12, 16, 31, 32, 35, 46, 54, 71, 73, 79, 83, 94 ]
[ "((83-(12-73))/16)", "(7+(16/(79-71)))", "(94+((32-46)-71))", "(54+(94-(73+(31+35))))" ]
193
9
[ 4, 9, 11, 13, 16, 59, 60, 68, 74, 80, 82, 85, 95 ]
[ "(((16+4)-85)+74)", "(60-(59-(82-74)))", "(68-(((59-(80+11))+82)+9))", "((82+9)+(13-95))" ]
194
9
[ 2, 26, 32, 39, 56, 58, 81, 82, 99 ]
[ "(26-(99-82))", "((39+26)-56)", "((39+2)-32)", "((32-81)+58)" ]
195
9
[ 8, 21, 27, 42, 43, 52, 61, 62, 69, 72, 78, 94 ]
[ "((94-42)-43)", "(((52-94)-72)+(62+61))", "((78-61)-8)", "((27-69)-(21-72))" ]
196
9
[ 7, 9, 10, 19, 22, 25, 30, 41, 42, 57, 58, 95, 99 ]
[ "((10-58)+57)", "(9+((58+41)-99))", "((19+(7-25))*9)", "(((22+42)+(95+(30*7)))/41)" ]
197
9
[ 3, 7, 8, 16, 18, 54, 55, 64, 68, 70, 96, 100 ]
[ "(((3+68)-8)/7)", "(((3*16)*18)/96)", "(70-(64-(54/18)))", "((55+54)-100)" ]
198
9
[ 2, 5, 10, 17, 19, 20, 23, 35, 43, 45, 48, 51, 64, 67, 70, 85, 90, 95 ]
[ "((2-17)+(51-(70-43)))", "(90+((20-(85*(95/19)))/5))", "(((85-35)+23)-64)", "((((64-67)-(10-48))-45)+19)" ]
199
9
[ 1, 5, 14, 16, 21, 22, 25, 29, 37, 45, 46, 58, 63, 71, 86, 87 ]
[ "((45-(46+1))-(14-25))", "(29-((37-1)-16))", "((22-21)+(37-29))", "((((86+87)-63)/5)+(58-71))" ]
200
9
[ 6, 13, 30, 32, 33, 36, 39, 60, 66, 69, 72, 75, 81, 91 ]
[ "((6*(32-36))+33)", "((66+(75-72))-60)", "((91-13)-69)", "(81/(39-30))" ]