index
int64
target
int64
available_numbers
list
solutions
list
4,001
183
[ 3, 8, 15, 19, 35, 49, 66, 71, 75, 77, 80, 89 ]
[ "(77+(35+71))", "(((8-3)+35)+(77+66))", "((49+19)+((80*8)-(35*15)))", "((89+19)+75)" ]
4,002
183
[ 14, 27, 29, 30, 37, 42, 48, 56, 59, 64, 72, 77, 88, 99, 100 ]
[ "(29-((77-((56+48)+27))-100))", "((100+64)-((48-37)-30))", "((29+99)+(42+(27-14)))", "(64-(((100-72)-88)-59))" ]
4,003
183
[ 11, 29, 32, 48, 50, 61, 66, 74, 87 ]
[ "((32+(66+74))+11)", "((32-29)*61)", "((48+74)+61)", "((11+50)*(87/29))" ]
4,004
183
[ 7, 21, 27, 34, 53, 63, 65, 86, 96 ]
[ "(((27+63)+7)+86)", "((86+63)+34)", "((96+34)+53)", "(53+((86-21)+65))" ]
4,005
183
[ 12, 33, 36, 52, 60, 65, 70, 75, 81, 93, 96, 100 ]
[ "(65+((70+60)-12))", "((12+96)+75)", "((93+75)-(81-(60+36)))", "(((52+70)-81)+((75-33)+100))" ]
4,006
183
[ 2, 5, 36, 37, 39, 44, 47, 52, 61, 67, 70, 72, 92, 94 ]
[ "(((37+(67+47))+72)-(92-52))", "(70+(61+52))", "(70+(44+(67+2)))", "((37+((5+94)+(39-36)))+44)" ]
4,007
183
[ 36, 46, 47, 59, 65, 71, 72, 78, 90, 94 ]
[ "(90+(46+47))", "((78+59)+46)", "(65+(71+47))", "((46+36)+(94-(65-72)))" ]
4,008
183
[ 6, 23, 26, 39, 59, 66, 68, 76, 88, 89, 98 ]
[ "(59+(26+98))", "((26-(23+6))*(66-(68+59)))", "((68+39)+76)", "(89+(6+88))" ]
4,009
183
[ 8, 18, 25, 39, 46, 47, 73, 92, 97, 99 ]
[ "((99+92)-8)", "((92+18)+73)", "((25+73)+((39-46)+92))", "((39+47)+97)" ]
4,010
183
[ 18, 23, 24, 49, 64, 70, 90, 95 ]
[ "((95+64)+24)", "(64+(70+49))", "(18+(70+95))", "(70+(90+23))" ]
4,011
183
[ 4, 11, 35, 43, 51, 52, 67, 88, 96, 97 ]
[ "(43+(4*35))", "(96+(52+35))", "((35+51)+97)", "((67+(97+11))+(96-88))" ]
4,012
183
[ 1, 4, 7, 17, 20, 21, 22, 23, 64, 95, 98 ]
[ "((22-21)+(((23*7)+20)+1))", "(((98*1)+64)+21)", "((64+(17+4))+98)", "((22*4)+95)" ]
4,013
183
[ 20, 31, 51, 56, 58, 76, 81, 88, 96, 99 ]
[ "(((81+51)+20)+31)", "(58+((76-81)+(99+31)))", "((51+76)+56)", "(99-((88-96)-76))" ]
4,014
183
[ 33, 40, 44, 55, 62, 73, 77, 81, 85, 87 ]
[ "(77+(73+33))", "((44+62)+77)", "(40+(62+81))", "((87+55)+(85-44))" ]
4,015
183
[ 3, 17, 18, 30, 51, 67, 72, 74, 89, 98 ]
[ "((17+89)+(3+74))", "((3*51)+30)", "(((98+72)-17)+30)", "((3*67)-18)" ]
4,016
183
[ 18, 23, 24, 41, 45, 47, 51, 54, 60, 74, 88 ]
[ "(((60-51)*23)-24)", "(51+((60+54)+18))", "((54+41)+88)", "(41+((45-(24-47))+74))" ]
4,017
183
[ 2, 12, 14, 35, 64, 84, 85, 87, 100 ]
[ "((64+84)+35)", "((12+84)+87)", "((84+85)+14)", "((85+100)-2)" ]
4,018
183
[ 3, 4, 10, 22, 42, 44, 68, 76, 93, 97, 100 ]
[ "((3*42)-((44-4)-97))", "(76+(10+97))", "(93-(10-100))", "(68+(93+22))" ]
4,019
183
[ 20, 28, 50, 58, 61, 67, 69, 75, 94 ]
[ "((61+94)+28)", "(((94+50)+67)-28)", "(69+(20+94))", "(50+(75+58))" ]
4,020
183
[ 7, 25, 34, 40, 50, 53, 54, 55, 56, 80, 93 ]
[ "(93+(34+56))", "((56-7)+(80+54))", "(80+(50+53))", "((80/(25/40))+55)" ]
4,021
183
[ 2, 3, 10, 25, 37, 41, 59, 83, 90, 95 ]
[ "(83+(37+(25+(41-3))))", "((41+83)+59)", "((10+83)+90)", "((95+90)-2)" ]
4,022
183
[ 5, 21, 26, 40, 49, 57, 67, 70, 82, 90, 94, 95, 96 ]
[ "(95+(67+21))", "(40+(70-(21-94)))", "(70+((5+82)+26))", "(((90-57)+5)+(96+49))" ]
4,023
183
[ 4, 11, 16, 18, 19, 61, 65, 78, 86, 100 ]
[ "((19+86)+78)", "(61*(19-16))", "((11*18)-(19-4))", "(18+(100+65))" ]
4,024
183
[ 1, 8, 12, 24, 58, 62, 75, 81, 84, 89, 91, 97, 100 ]
[ "(12+((81-1)+91))", "((24+75)+(84/1))", "(75+(8+100))", "((1+(58+(97-62)))+89)" ]
4,025
183
[ 6, 9, 10, 15, 28, 34, 36, 61, 66, 68, 73, 79, 97 ]
[ "((6*28)+15)", "(((97-9)+61)+34)", "((34+73)+(10+66))", "((79+68)+36)" ]
4,026
184
[ 6, 13, 20, 26, 72, 76, 78, 80, 87, 90 ]
[ "((90+72)+((20+78)-76))", "(20+((87+90)-13))", "(20+((80+6)+78))", "(80+(78+26))" ]
4,027
184
[ 28, 50, 53, 54, 65, 66, 76, 80, 81 ]
[ "(65+(53+66))", "(53+(50+81))", "((54+80)+50)", "((28+80)+76)" ]
4,028
184
[ 1, 8, 21, 22, 23, 71, 73, 90 ]
[ "(8*(1*23))", "(8*(1+22))", "((71+90)+23)", "((73+90)+21)" ]
4,029
184
[ 5, 35, 40, 55, 61, 68, 88, 91, 98 ]
[ "((98-(40-35))+91)", "(5+(88+91))", "(88+(61+35))", "(55+(68+61))" ]
4,030
184
[ 16, 22, 33, 44, 53, 64, 67, 76, 84 ]
[ "(16+((44/22)*84))", "(76+(64+44))", "(67+(33+84))", "((53+64)+67)" ]
4,031
184
[ 43, 46, 49, 61, 64, 67, 71, 74, 89 ]
[ "((43+74)+67)", "(61+(49+74))", "(89+(46+49))", "(49+(64+71))" ]
4,032
184
[ 1, 2, 7, 22, 24, 36, 38, 48, 67, 81, 82, 95 ]
[ "((38+((2+48)+1))+95)", "((38-(2-81))+67)", "((82+95)+7)", "(((95+7)+(22+24))+36)" ]
4,033
184
[ 3, 14, 32, 39, 57, 64, 82, 85, 88 ]
[ "(39+(88+57))", "((88+14)+82)", "((85+(14*3))+57)", "(14+((64/32)*85))" ]
4,034
184
[ 1, 15, 18, 25, 61, 63, 65, 71, 80, 84, 89, 94 ]
[ "(15+(80+89))", "((80+71)+(94-61))", "(65+(94+25))", "((84/(15/25))-((18-63)+1))" ]
4,035
184
[ 24, 29, 31, 58, 62, 66, 78, 84, 86, 94, 97 ]
[ "(78-((31-(29+84))-24))", "((58+97)+29)", "(((86-62)-31)+(94+97))", "(66+(94+24))" ]
4,036
184
[ 11, 22, 36, 42, 43, 55, 72, 81, 83, 91, 92, 100 ]
[ "((92-22)+((42-11)+83))", "((92*72)/36)", "(((55-36)+100)+(43+22))", "((91-43)+(81+55))" ]
4,037
184
[ 14, 16, 19, 25, 28, 40, 45, 57, 92, 100 ]
[ "(57+((19+16)+92))", "((16-14)*92)", "((25+45)+(100+14))", "((28+(40+100))+16)" ]
4,038
184
[ 2, 6, 13, 40, 52, 57, 59, 60, 66, 71, 79 ]
[ "(52+(2*66))", "(((71+2)+52)+59)", "(13+((2+(60+57))+52))", "((40+79)+((57+6)+2))" ]
4,039
184
[ 11, 13, 23, 38, 42, 50, 60, 63, 64, 65, 69, 83, 91 ]
[ "((13+23)+(65+83))", "(38+(83+63))", "((42+((69-63)+(11+60)))+65)", "(((69-64)+91)+(50+38))" ]
4,040
184
[ 2, 12, 21, 24, 29, 68, 73, 87, 93 ]
[ "(((24/12)*93)-2)", "((21*12)-68)", "((87+73)+24)", "((87+68)+29)" ]
4,041
184
[ 9, 11, 25, 29, 30, 41, 42, 50, 68, 76, 78, 82, 99, 100 ]
[ "(((68+(30-25))+42)+(78-9))", "((9+76)+99)", "((((11+50)+100)-76)+99)", "((41+100)-((68-29)-82))" ]
4,042
184
[ 35, 36, 51, 56, 57, 62, 63, 87, 97, 99 ]
[ "(62+(87+35))", "((35+87)+(56-(57-63)))", "(99-(((63-97)-87)+36))", "(97+(51+36))" ]
4,043
184
[ 4, 12, 23, 40, 47, 58, 65, 66, 75, 77, 86, 100 ]
[ "((86-40)*4)", "((23+86)+75)", "(58+((100-40)+66))", "((77+(12+(47+(65+58))))-75)" ]
4,044
184
[ 3, 10, 27, 31, 32, 36, 53, 56, 61, 64, 65, 70, 85 ]
[ "(((61-32)+85)+70)", "(((3*70)-36)+10)", "((36*(85+53))/27)", "((((70-56)+65)+(64+31))+10)" ]
4,045
184
[ 3, 34, 42, 46, 49, 51, 77, 84, 93, 98, 99 ]
[ "(49+(84+51))", "((51+99)+34)", "((98+(51-42))+77)", "(((77*3)-93)+46)" ]
4,046
184
[ 3, 4, 6, 22, 25, 33, 37, 39, 44, 60, 69, 74, 79 ]
[ "(((79-60)+(74+69))+22)", "((33+(79+3))+69)", "((6*((37-3)+4))+(25-69))", "(((44-37)+39)*4)" ]
4,047
184
[ 2, 4, 10, 18, 24, 27, 38, 45, 46, 51, 55, 64, 87, 92, 94 ]
[ "(((24+87)+27)+46)", "(4+((51+64)+(92-27)))", "((38-18)*(92/10))", "((18+55)-(2-(64-(45-94))))" ]
4,048
184
[ 2, 11, 14, 15, 18, 22, 26, 27, 41, 56, 58, 66, 72, 83, 91 ]
[ "((2*56)+72)", "(((15*18)+(11-56))-41)", "(58+((14+(56-27))+83))", "(((91+27)-26)/((11+22)/66))" ]
4,049
184
[ 25, 28, 34, 36, 40, 41, 45, 51, 59, 62, 68, 74, 77, 94, 95 ]
[ "((62+94)+28)", "(((28+25)-41)+(77+95))", "((36-40)+(95+(59+34)))", "((68+(36+(74+51)))-45)" ]
4,050
184
[ 4, 6, 11, 13, 16, 20, 29, 31, 35, 38, 43, 44, 47, 51, 52, 55, 68, 77, 79, 91 ]
[ "((55*4)-((91/13)+29))", "(((68*(31-38))-16)+(52*13))", "((20+(47-44))*(51-43))", "((11+35)*(6-(79-77)))" ]
4,051
185
[ 5, 15, 27, 34, 35, 62, 70, 88, 100 ]
[ "((35+62)+88)", "(27+(88+70))", "(15+(100+70))", "((34*5)+15)" ]
4,052
185
[ 6, 15, 20, 30, 71, 74, 81, 85, 93, 98 ]
[ "((81+98)+6)", "((20-15)+(93+(81+6)))", "(74*(15/6))", "((85+(74-15))-(30-71))" ]
4,053
185
[ 1, 4, 20, 22, 37, 42, 44, 51, 56, 70, 84, 90, 95 ]
[ "(((95+42)+4)+44)", "((1*90)+95)", "(((44+22)-((20-56)+1))+84)", "(37*((70-(56+51))+42))" ]
4,054
185
[ 30, 53, 56, 58, 60, 61, 63, 69, 99 ]
[ "((30+99)+56)", "(56+(60+69))", "((((61+58)-56)+53)+69)", "(69+(63+53))" ]
4,055
185
[ 2, 5, 33, 34, 58, 61, 66, 77, 80, 89 ]
[ "(89+((2+33)+61))", "((77+(80-33))+61)", "(58+(77-(34-(89-5))))", "((66+58)+61)" ]
4,056
185
[ 2, 5, 9, 14, 27, 28, 74, 83, 84, 92 ]
[ "(83-(14-(84+(5+27))))", "(84+(92+9))", "((74+(5*2))+(9+92))", "(83+(74+28))" ]
4,057
185
[ 3, 10, 23, 34, 47, 76, 78, 83, 86, 99 ]
[ "(99+(76+10))", "((86+76)+23)", "((83+3)+99)", "(3+((47+78)+(23+34)))" ]
4,058
185
[ 2, 5, 36, 40, 51, 55, 90, 93, 94 ]
[ "((93+90)+2)", "((55+90)+40)", "((51+40)+94)", "((5+(51+36))+93)" ]
4,059
185
[ 38, 41, 50, 52, 59, 61, 74, 85, 88 ]
[ "((41+85)+59)", "((74+52)+59)", "((50+74)+61)", "(59+(88+38))" ]
4,060
185
[ 5, 16, 26, 45, 67, 77, 82, 92 ]
[ "(26+(82+77))", "(5*(82-45))", "(26+(67+92))", "((92+77)+16)" ]
4,061
185
[ 4, 7, 17, 78, 79, 81, 87, 89, 100 ]
[ "(78+(7+100))", "(4+(81+100))", "(87+(81+17))", "((79+89)+17)" ]
4,062
185
[ 10, 30, 47, 51, 52, 66, 67, 72, 74, 91 ]
[ "(30+((74+91)-10))", "(((30+51)+(47-10))+67)", "(66+(72+47))", "((52+67)+66)" ]
4,063
185
[ 15, 28, 38, 58, 65, 78, 82, 92, 99 ]
[ "((92+28)+65)", "((15+78)+92)", "(38+(65+82))", "((99+28)+58)" ]
4,064
185
[ 9, 34, 39, 52, 60, 86, 94, 99, 100 ]
[ "(86+(39+60))", "(39+(94+52))", "((94+100)-9)", "((99+52)+34)" ]
4,065
185
[ 5, 7, 8, 16, 28, 33, 41, 57, 86, 93, 97, 99 ]
[ "((33+((41*8)*5))-(16*93))", "((97+(93+28))-33)", "(((16+33)-7)+(86+57))", "((93-7)+99)" ]
4,066
185
[ 28, 32, 37, 40, 50, 53, 54, 57, 91, 95, 98 ]
[ "(54+(28+(53+50)))", "(91-(32-(98+28)))", "(32+(95+(98-40)))", "(91+(37+57))" ]
4,067
185
[ 3, 16, 17, 19, 22, 25, 49, 63, 68, 73, 88, 97 ]
[ "(22+(88+(3*25)))", "((97+25)+63)", "(49+(73+63))", "(((68-63)+(16*17))-(73+19))" ]
4,068
185
[ 16, 17, 21, 36, 37, 49, 58, 64, 85, 94, 100 ]
[ "((85*37)/17)", "((64+85)+36)", "((100+64)+21)", "(49-(58+((100+94)/(16-17))))" ]
4,069
185
[ 2, 11, 19, 20, 23, 30, 39, 43, 48, 53, 66, 70, 71, 75 ]
[ "((70+(23+19))+(43+30))", "(((19*11)+((70-53)-2))-39)", "(75+(20+(19+71)))", "((71+66)+48)" ]
4,070
185
[ 1, 12, 20, 35, 51, 58, 59, 60, 73, 75, 91, 92, 93, 100 ]
[ "((100-(58+1))+(93+51))", "((75+(60+12))+(73-35))", "(59+(35+91))", "(92+(20+73))" ]
4,071
185
[ 6, 24, 32, 34, 45, 52, 55, 68, 72, 89, 91 ]
[ "((91-6)+(55+45))", "((24+34)+(72+55))", "(24+(72+89))", "(68+((72*52)/32))" ]
4,072
185
[ 4, 8, 13, 21, 24, 33, 34, 38, 42, 68, 69, 71, 74, 76, 90 ]
[ "((8*21)+(34/(38/(90-71))))", "(42+(13*((4-(38-24))+21)))", "((69+74)+42)", "((68-(33-76))+74)" ]
4,073
185
[ 4, 11, 13, 28, 29, 31, 36, 47, 52, 53, 61, 65, 72, 76, 82, 87 ]
[ "(((53-82)+47)+((87+4)+76))", "(36+((65+31)+53))", "(72-(13-(65+61)))", "(((11+(4+52))+(61+28))+29)" ]
4,074
185
[ 3, 11, 13, 41, 44, 49, 54, 64, 68, 69, 76, 80, 81, 86, 89, 91 ]
[ "(((68-41)+13)+(64+81))", "(69+((86+(49+68))-(76+11)))", "((11+(3+80))+91)", "((86+54)-(44-89))" ]
4,075
185
[ 3, 7, 10, 20, 24, 28, 34, 45, 48, 54, 62, 65, 70, 89, 95, 97 ]
[ "(((97-95)*70)+45)", "((62-20)+(54+89))", "(34-((54-(65*3))-10))", "((48*(28-24))-7)" ]
4,076
186
[ 2, 16, 27, 35, 55, 62, 79, 81, 89, 95, 97 ]
[ "((2+89)+95)", "(89+(35+62))", "(35+((97+95)-((16-2)+27)))", "((55-(2+(27-79)))+81)" ]
4,077
186
[ 2, 6, 11, 21, 27, 34, 39, 60, 67, 92 ]
[ "((27+92)+67)", "((27+67)+(60+(34-2)))", "((60-(6-39))*2)", "((11*21)-(39+6))" ]
4,078
186
[ 31, 36, 45, 51, 55, 59, 60, 72, 80, 90, 92 ]
[ "(80+(55+51))", "((55+72)+59)", "((90+45)+51)", "((36+(90-(31-59)))+(92-60))" ]
4,079
186
[ 4, 11, 12, 22, 31, 62, 80, 88, 94 ]
[ "(31*((22/11)+4))", "(88+(4+94))", "((12+80)+94)", "(62/(4/12))" ]
4,080
186
[ 27, 33, 41, 49, 59, 63, 71, 74, 85, 96 ]
[ "((41+71)+74)", "(27+(74+85))", "(((96-(49-(33-27)))+74)+59)", "(49+(74+63))" ]
4,081
186
[ 33, 42, 54, 59, 60, 61, 64, 66, 84, 95 ]
[ "((66*((59+64)/33))-60)", "((59+61)+66)", "(84+(42+60))", "(((95-54)+61)+84)" ]
4,082
186
[ 3, 6, 16, 20, 26, 30, 50, 58, 60, 69, 72, 78, 91, 99 ]
[ "(60+(3+((58+16)-(50-99))))", "((16-20)+((72+58)+60))", "((26+3)+((30+58)+69))", "((((91-78)*6)-16)*3)" ]
4,083
186
[ 9, 16, 17, 27, 35, 40, 42, 65, 69, 90, 91 ]
[ "(40-(9-(65+90)))", "(42+(16*9))", "((27-17)+((65+69)+42))", "((69-9)+(35+91))" ]
4,084
186
[ 10, 12, 14, 77, 79, 81, 93, 97 ]
[ "(10+(79+97))", "((77+97)+12)", "((81+93)+12)", "(79+(14+93))" ]
4,085
186
[ 5, 25, 27, 51, 57, 62, 94, 99 ]
[ "(51+(5*27))", "((5*57)-99)", "(25+(99+62))", "((5+94)+(62+25))" ]
4,086
186
[ 2, 7, 9, 15, 39, 55, 66, 82, 88, 92, 100 ]
[ "((82+55)+(88-39))", "((9+(88-66))+(100+55))", "(((92+9)+100)-15)", "((15+(82*2))+7)" ]
4,087
186
[ 6, 12, 16, 18, 25, 78, 83, 85, 89 ]
[ "((12*16)-6)", "((12+89)+85)", "((18+85)+83)", "((78+25)+83)" ]
4,088
186
[ 26, 46, 49, 50, 52, 73, 87, 88, 90 ]
[ "(90+(46+50))", "(88+(52+46))", "((50+87)+49)", "((87+73)+26)" ]
4,089
186
[ 4, 14, 15, 56, 74, 75, 84, 87, 98 ]
[ "(((98-15)+(84-56))+75)", "((87+84)+15)", "(84+(4+98))", "(14+(98+74))" ]
4,090
186
[ 1, 5, 30, 36, 54, 73, 75, 76, 83, 91, 93 ]
[ "((76-36)+(54+(91+1)))", "(36+(5*30))", "(73+(30+83))", "(93+((75+91)-73))" ]
4,091
186
[ 10, 14, 23, 28, 33, 44, 60, 69, 80, 86, 87, 92 ]
[ "((28/14)+((92*(33+87))/60))", "((69+44)+(87-14))", "(14+((80+69)+23))", "(((86-10)+87)+23)" ]
4,092
186
[ 4, 6, 7, 29, 56, 59, 63, 82, 92, 97 ]
[ "(92+((56+97)-59))", "((59+(29+6))+92)", "((4+(63-7))+(97+29))", "(82+(7+97))" ]
4,093
186
[ 1, 3, 7, 9, 18, 31, 35, 38, 48, 61, 64, 71, 87 ]
[ "(((71+87)-3)+31)", "(((38+3)-35)*31)", "((((18+71)+7)+35)-(9-64))", "((48+(71+(61-1)))+7)" ]
4,094
186
[ 1, 4, 7, 14, 17, 40, 48, 51, 53, 67, 68, 79, 89, 93 ]
[ "(40+(79+67))", "((79+(93+(48-68)))+(51-17))", "((14+48)*(4-1))", "(53+((51-7)+(1*89)))" ]
4,095
186
[ 5, 8, 15, 19, 22, 23, 44, 53, 55, 64, 73, 94, 99 ]
[ "(64+((55+19)+(53-5)))", "(15-(94-(53*5)))", "(64+(99+23))", "(55+(73+(44-(8-22))))" ]
4,096
186
[ 8, 24, 26, 34, 47, 63, 71, 76, 78, 83, 84, 89, 95, 100 ]
[ "((63+(((47+24)-71)+34))+89)", "(34+(83+(95-26)))", "(34+(84-(8-76)))", "(78+(100+8))" ]
4,097
186
[ 1, 4, 12, 20, 22, 44, 51, 64, 81, 82, 85, 92, 97 ]
[ "(((51+((97+64)-92))+22)+44)", "((97+85)+4)", "(81+(85+20))", "(1*(82+(12+92)))" ]
4,098
186
[ 8, 10, 13, 18, 20, 21, 36, 37, 47, 49, 50, 65, 72, 78, 88, 97, 100 ]
[ "((100+88)+(8-(20-10)))", "(100+(49+37))", "(((65+97)+50)-((36-47)+37))", "(((10+78)+18)+(21-(13-72)))" ]
4,099
186
[ 4, 14, 19, 32, 38, 41, 43, 72, 73, 77, 78, 82, 86, 91 ]
[ "(((77-78)+73)+((4+19)+91))", "((73-41)-(4-(72+86)))", "(72+(82+32))", "((38+(43+14))+91)" ]
4,100
186
[ 6, 11, 13, 21, 42, 43, 45, 46, 48, 52, 61, 62, 76 ]
[ "(42+(48*(46-43)))", "(61+(76+(43+6)))", "(21+((45+46)+(61+13)))", "(62*((52+11)/21))" ]