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