index
int64
target
int64
available_numbers
list
solutions
list
2,901
135
[ 19, 21, 23, 26, 29, 48, 52, 60, 68, 96 ]
[ "((23-68)*(26-29))", "(52+(60+23))", "((68+48)+19)", "(96-(21-60))" ]
2,902
135
[ 12, 20, 26, 58, 65, 82, 97 ]
[ "((97-20)+58)", "(26+(97+12))", "(58+(65+12))", "((82-12)+65)" ]
2,903
135
[ 8, 18, 33, 45, 55, 58, 73, 82, 84, 98 ]
[ "((82+((73+58)-33))-45)", "((82+45)+8)", "(18+(33+84))", "(98-(55-(84+8)))" ]
2,904
135
[ 18, 20, 21, 28, 32, 39, 42, 55, 73, 75, 79 ]
[ "((20+(79+18))-(55-73))", "((18+75)+42)", "((39+21)+75)", "((28+75)+32)" ]
2,905
135
[ 20, 24, 25, 28, 38, 41, 51, 56, 69 ]
[ "((38+28)+69)", "((24+(28+(38+20)))+25)", "(56+(28+51))", "((38+41)+56)" ]
2,906
135
[ 11, 15, 19, 24, 37, 72, 82, 87, 95 ]
[ "((82-19)+72)", "(87+(72-24))", "((24/(19/95))+15)", "(37+((72+15)+11))" ]
2,907
135
[ 12, 27, 32, 34, 38, 45, 52, 60, 63, 72, 78 ]
[ "(38+(34+63))", "((12*(38-32))+63)", "(34+((78-(52-(72+63)))-60))", "((45+63)+27)" ]
2,908
135
[ 1, 13, 15, 42, 44, 59, 65, 77, 78, 91 ]
[ "(91+(44/1))", "((59-1)+77)", "(13+((((59-78)+65)-15)+91))", "(15+(42+78))" ]
2,909
135
[ 6, 17, 18, 27, 41, 46, 48, 76, 100 ]
[ "((100-41)+76)", "(100+(18+17))", "((46+41)+48)", "(27+(6*18))" ]
2,910
135
[ 3, 6, 17, 43, 45, 69, 70, 87, 89, 91 ]
[ "(((70+69)+87)-91)", "((87+3)+45)", "((3+43)+89)", "(69+((17+43)+6))" ]
2,911
135
[ 21, 25, 29, 31, 47, 49, 57, 83, 84 ]
[ "((21+83)+31)", "(47+(31+57))", "(25+(57+(84-31)))", "((57+49)+29)" ]
2,912
135
[ 13, 16, 28, 39, 40, 57, 62, 64, 67, 84 ]
[ "(40+((39-28)+84))", "(84-(16-67))", "(62+(16+57))", "(64+(84-13))" ]
2,913
135
[ 4, 14, 18, 21, 36, 43, 65, 66, 74, 90, 98 ]
[ "((4-(21/14))*(90-36))", "((66+90)-21)", "(66+(65+4))", "((98+4)+(((74-66)-18)+43))" ]
2,914
135
[ 2, 4, 8, 9, 23, 31, 45, 67, 70, 96 ]
[ "((96-(4-45))-2)", "((96+70)-31)", "((67+45)+23)", "(9*(23-8))" ]
2,915
135
[ 9, 11, 24, 40, 56, 60, 62, 66, 90, 93 ]
[ "((60+11)+(40+24))", "(56+(90-11))", "((90*93)/62)", "((66+60)+9)" ]
2,916
135
[ 5, 19, 20, 34, 47, 61, 69, 78, 99, 100 ]
[ "(69+(19+47))", "((100-(69-99))+5)", "((61-34)*5)", "(78-((20/5)-61))" ]
2,917
135
[ 2, 3, 10, 14, 25, 37, 41, 50, 71, 79, 85, 88 ]
[ "((50+79)+((41-10)-25))", "(((85+14)+41)-(25/(3+2)))", "((2*88)-41)", "(((2+25)+37)+71)" ]
2,918
135
[ 2, 5, 7, 27, 34, 43, 53, 64, 73, 77, 87, 91 ]
[ "((34+53)-(43-91))", "((77+87)+(5-34))", "(7+(91+(64-27)))", "(73+((87-27)+2))" ]
2,919
135
[ 1, 10, 21, 26, 35, 42, 53, 66, 72, 87, 95, 97 ]
[ "(87+((21+1)+26))", "((66+95)-26)", "(((10/1)+(95+72))-42)", "((97+66)+(35-(10+53)))" ]
2,920
135
[ 6, 12, 20, 56, 59, 61, 85, 94 ]
[ "(61+(94-20))", "(56+(20+59))", "((94+59)-(12+6))", "(56+(85-6))" ]
2,921
135
[ 3, 9, 19, 22, 23, 24, 26, 42, 46, 85, 95 ]
[ "(((42+46)+24)+23)", "((24+26)+85)", "((22+23)*3)", "(3/(19/(9*95)))" ]
2,922
135
[ 1, 6, 14, 24, 40, 49, 58, 59, 68, 72, 75, 76, 80 ]
[ "((((58-6)-(14-72))-24)+49)", "(80-((76-72)-59))", "(68+(80-(14-1)))", "(40+((1-(49-75))+68))" ]
2,923
135
[ 4, 15, 29, 36, 37, 54, 58, 77, 78, 83, 98, 99, 100 ]
[ "((78+58)+(98-99))", "(((98+54)+83)-100)", "((15+37)+83)", "((15+((29+54)-36))+(77-4))" ]
2,924
135
[ 2, 5, 15, 26, 28, 45, 46, 49, 57, 60, 64, 68, 71, 74, 77, 81, 84 ]
[ "(((28+77)*(45*84))/(60*49))", "(((28+(64+71))-74)+46)", "(15*(2+(81-74)))", "(15/(((5+57)+68)/(45*26)))" ]
2,925
135
[ 4, 9, 10, 11, 27, 35, 54, 59, 61, 63, 90, 93 ]
[ "((10+35)+90)", "(90+(54-9))", "((4*59)-(35-(27-93)))", "((61+11)+63)" ]
2,926
136
[ 5, 10, 13, 21, 36, 40, 53, 60, 71, 78, 94 ]
[ "(71+(78-13))", "((94+78)-36)", "((40+36)+60)", "(((53+10)+((21+60)+5))-13)" ]
2,927
136
[ 1, 2, 7, 10, 15, 24, 41, 44, 49, 78, 90 ]
[ "((2*(7+44))-(15-49))", "((78+7)*(24/15))", "(((2*44)-41)-(1-90))", "((90+15)-(10-41))" ]
2,928
136
[ 8, 28, 45, 51, 59, 68, 71, 83, 90 ]
[ "((45+8)+83)", "((45-51)+(59+83))", "(45+((71-8)+28))", "((((59-28)-68)+90)+83)" ]
2,929
136
[ 6, 7, 35, 39, 49, 52, 80, 91, 94 ]
[ "((52+49)+35)", "((52+91)-7)", "((7+52)-((94-91)-80))", "(39+(91+6))" ]
2,930
136
[ 11, 15, 24, 27, 30, 43, 47, 53, 62, 63, 68 ]
[ "(((11*24)+(15-63))-(27+53))", "((63+30)+43)", "(30*(68/15))", "((27+47)+62)" ]
2,931
136
[ 4, 5, 13, 14, 47, 49, 51, 66, 75, 98 ]
[ "(((75+66)-(4*13))+47)", "((47+75)+14)", "(75+(66-5))", "((98-66)+(49+(51+4)))" ]
2,932
136
[ 3, 7, 31, 36, 54, 71, 75, 84, 90, 95, 97 ]
[ "(90+((7+75)-36))", "(36+(3+97))", "((31+(7*3))+84)", "(((54+71)-(95-75))+31)" ]
2,933
136
[ 21, 29, 33, 43, 54, 61, 72, 74, 97 ]
[ "(54+(61+21))", "(72+(43+21))", "(72-(33-97))", "((74+29)+33)" ]
2,934
136
[ 1, 23, 25, 28, 32, 42, 48, 88, 94 ]
[ "((25+94)*(32/28))", "((25+23)+88)", "(1*(94+42))", "((88+48)*1)" ]
2,935
136
[ 14, 20, 25, 28, 31, 35, 46, 53, 55, 62, 91 ]
[ "((28+35)+(20+53))", "(20+(25+91))", "(14+(91+31))", "((46*28)+((14*55)-(62*31)))" ]
2,936
136
[ 2, 5, 51, 56, 58, 76, 77, 80, 83 ]
[ "((77-(80-83))+56)", "(80+(5+51))", "(80-(2-58))", "((76+58)+2)" ]
2,937
136
[ 7, 9, 10, 14, 20, 32, 39, 42, 59, 65, 85, 91 ]
[ "((91+(59-(14+(32-39))))-7)", "(10+(9*14))", "(85-(14-65))", "((20+(9+42))+65)" ]
2,938
136
[ 17, 18, 19, 26, 32, 54, 75, 92, 93, 99 ]
[ "((26+18)+92)", "((99+19)+18)", "(54+(99-17))", "(75+(93-((18-17)*32)))" ]
2,939
136
[ 20, 33, 40, 48, 64, 81, 85, 86, 90 ]
[ "(40+((81-33)+48))", "(85/(40/64))", "(20-((33-85)-64))", "((86-40)+90)" ]
2,940
136
[ 2, 6, 12, 15, 48, 56, 61, 68, 70, 72 ]
[ "(12+((61+48)+15))", "(12*(68/6))", "(68+(70-2))", "((6+(72+56))+2)" ]
2,941
136
[ 3, 5, 14, 20, 35, 38, 44, 55, 61, 76, 90, 92, 99 ]
[ "(((5-20)+90)+61)", "((90+14)-(44-76))", "((92-(55+38))+(76+61))", "(99-(3-(35+5)))" ]
2,942
136
[ 2, 30, 34, 52, 62, 72, 73, 84, 95, 97 ]
[ "(73-((84-52)-95))", "((97-34)+73)", "((34+30)+72)", "((2+62)+72)" ]
2,943
136
[ 1, 6, 10, 36, 43, 46, 49, 87, 100 ]
[ "(87+(49/1))", "((87+6)+43)", "(36+(1*100))", "((100-(10*1))+46)" ]
2,944
136
[ 4, 5, 7, 8, 12, 18, 24, 28, 34, 48, 54, 55, 58, 93 ]
[ "((28-4)+(58+54))", "((24+(28-48))*34)", "(((55-93)+48)+(7*18))", "((93+28)+(8+(12-5)))" ]
2,945
136
[ 1, 2, 39, 46, 51, 67, 68, 81, 82, 93 ]
[ "(39+(51+46))", "(39-(1-((81+68)-51)))", "(93+(82-39))", "(2*(67+1))" ]
2,946
136
[ 25, 29, 40, 41, 45, 49, 62, 77, 79, 86, 97 ]
[ "(79+(86-29))", "((29+62)+45)", "((77+(79+45))-(49+(41-25)))", "((79+97)-40)" ]
2,947
136
[ 3, 18, 22, 36, 37, 42, 43, 46, 54, 60, 73, 75, 83, 96 ]
[ "((54+(3+75))+(46-42))", "(96+(37+3))", "(36+((96-18)+22))", "((83-((3+60)-73))+43)" ]
2,948
136
[ 3, 10, 15, 27, 30, 63, 64, 79, 82, 87, 88, 90, 94, 95, 98 ]
[ "((10-(63-95))+94)", "(27-(64-(79+94)))", "((94-64)+(98+(90-82)))", "(((94+15)-3)-((87-88)*30))" ]
2,949
136
[ 9, 23, 29, 38, 42, 43, 45, 51, 56, 68, 70, 71, 73, 82, 88, 99, 100 ]
[ "(((82+43)-99)/((42-29)/68))", "((100+38)+((99-45)-56))", "((88+(70-73))+51)", "((71+23)+(51-9))" ]
2,950
136
[ 4, 13, 15, 17, 23, 30, 31, 32, 33, 44, 51, 66, 71, 83, 85, 87, 89, 96 ]
[ "((44-31)-((32-33)-(71+51)))", "((13+(85+15))+23)", "((17+89)+30)", "(83-((96-87)-(66-4)))" ]
2,951
137
[ 9, 19, 22, 31, 44, 46, 47, 58, 77, 82 ]
[ "(82+(((47+58)+46)-(19+77)))", "((77+82)-22)", "((46+47)+44)", "((82+9)-(31-77))" ]
2,952
137
[ 4, 45, 47, 53, 65, 68, 72, 91, 94, 96 ]
[ "(45+(68-(72-96)))", "((94-53)+96)", "(65-((72-91)-53))", "(94-(4-47))" ]
2,953
137
[ 9, 22, 30, 35, 53, 62, 72, 74, 75 ]
[ "(9+(75+53))", "((74-9)+72)", "((22+62)+53)", "((72+35)+30)" ]
2,954
137
[ 3, 15, 23, 38, 42, 48, 52, 66, 67, 69, 73, 78 ]
[ "(67+((69-(66-52))+15))", "((3*(15+(66-48)))+38)", "((38*3)+23)", "((78+66)-((42-73)+38))" ]
2,955
137
[ 1, 3, 13, 18, 35, 75, 77, 80, 89, 92 ]
[ "(((80+75)-3)-(92-77))", "(92+(80-35))", "(75+((80-18)/1))", "((35+(89+13))*1)" ]
2,956
137
[ 5, 6, 7, 9, 12, 34, 65, 81, 84, 96 ]
[ "(65-(9-81))", "(84+(65-12))", "(81-(34-(6+84)))", "(((9+34)-7)+(5+96))" ]
2,957
137
[ 4, 19, 24, 25, 33, 34, 43, 54, 60, 65, 70 ]
[ "(((((65+54)+34)+19)-60)+25)", "((43+34)+60)", "(((70-(25+19))*4)+33)", "((70+24)+43)" ]
2,958
137
[ 3, 15, 20, 24, 39, 49, 64, 68, 98 ]
[ "((24+98)+15)", "((24+49)+64)", "(49+(20+68))", "((3*39)+20)" ]
2,959
137
[ 12, 20, 28, 37, 42, 57, 73, 78, 84, 95, 98, 100 ]
[ "(20+((100-78)+95))", "((37+95)-(73-78))", "((37+(73+84))-57)", "((98*(12+(78*42)))/(28*84))" ]
2,960
137
[ 5, 7, 16, 25, 33, 45, 59, 79, 83 ]
[ "(59+(45+33))", "(83-(5-59))", "(79+(83-25))", "(25+(16*7))" ]
2,961
137
[ 4, 7, 34, 39, 42, 62, 77, 85, 86, 94 ]
[ "((86+85)-34)", "(85+(94-42))", "((77+94)-34)", "((77+(7-39))+((85-62)*4))" ]
2,962
137
[ 2, 28, 30, 38, 41, 46, 48, 61, 94 ]
[ "((41+2)+94)", "(61+(2*38))", "(30+(61+46))", "((48+28)+61)" ]
2,963
137
[ 4, 9, 23, 43, 60, 69, 71, 73, 87 ]
[ "(60+(73+4))", "(69-((9-4)-73))", "((73-23)+87)", "(43+(23+71))" ]
2,964
137
[ 2, 14, 40, 47, 50, 57, 66, 69, 71, 78 ]
[ "((71+2)+(50+14))", "((50+40)+47)", "(78+(69-(50-40)))", "((57+14)+66)" ]
2,965
137
[ 2, 4, 6, 11, 27, 32, 63, 80, 96, 98 ]
[ "(((4*(32-11))+80)-27)", "((80+63)-6)", "((2*63)+11)", "((((98-6)+63)+80)-(96+2))" ]
2,966
137
[ 1, 5, 7, 13, 19, 28, 52, 53, 61, 76, 89, 92 ]
[ "(53+(28-(52/(13/(5-19)))))", "((76+89)-28)", "((92-7)+52)", "(61+(76*1))" ]
2,967
137
[ 3, 6, 18, 20, 47, 49, 54, 57, 66, 70, 74, 83 ]
[ "((54+3)+(6+74))", "((57+((3+20)-83))+(66+74))", "((70+20)+47)", "(70+(49+18))" ]
2,968
137
[ 4, 28, 31, 39, 42, 44, 52, 63, 72, 78, 80, 97, 98 ]
[ "(((31+80)-72)+98)", "(63-(28-(98+4)))", "(((97-42)-(44-98))+28)", "(((52+42)+(78-39))+4)" ]
2,969
137
[ 2, 10, 27, 33, 44, 49, 51, 75, 76, 96 ]
[ "((49-(76/2))+(75+51))", "(((51+44)+75)-33)", "(44+((27+76)-10))", "(51-(10-96))" ]
2,970
137
[ 22, 23, 32, 33, 36, 37, 38, 56, 68, 83, 88, 89, 91, 95 ]
[ "((95+(23-(36-22)))+33)", "((83+68)-(37-23))", "((91+56)+(22-32))", "((88+68)-(89-(38+32)))" ]
2,971
137
[ 11, 17, 29, 38, 42, 44, 55, 57, 70, 78, 96 ]
[ "((17+96)-((44-57)-11))", "((38+55)+44)", "(38+(29+70))", "(17+(78+42))" ]
2,972
137
[ 4, 8, 12, 13, 27, 33, 50, 51, 67, 90, 97 ]
[ "(67+((33-13)+50))", "((50+12)+(8+67))", "((97-27)+67)", "(((51+90)+4)-8)" ]
2,973
137
[ 6, 8, 9, 10, 19, 36, 38, 40, 48, 51, 63, 64, 77, 78 ]
[ "((51+77)+9)", "(38+((48+6)-(9+(10-64))))", "((38+(51-40))+(63+(6+19)))", "(8+((63-(48-36))+78))" ]
2,974
137
[ 2, 10, 16, 20, 21, 36, 42, 43, 47, 52, 84, 86, 90, 99, 100 ]
[ "(2-((84-90)-(86+43)))", "(52-((42-90)+(47-84)))", "(16+(21+100))", "(((10*20)+36)-99)" ]
2,975
137
[ 1, 7, 14, 30, 37, 49, 58, 61, 66, 69, 71, 74, 77, 87, 92, 97 ]
[ "(92+((97+14)-66))", "((49+30)+(1*58))", "(87+(74-(((37-7)-77)+71)))", "((69+7)+61)" ]
2,976
138
[ 2, 19, 30, 31, 50, 65, 76, 78, 91, 99 ]
[ "((78-31)+91)", "((2*30)+78)", "(76+(2*31))", "(((2*65)+((76-99)-19))+50)" ]
2,977
138
[ 1, 8, 11, 41, 45, 50, 63, 86, 93 ]
[ "(41+(45+(63-11)))", "(50+(11*8))", "(93-(41-86))", "((93+45)*1)" ]
2,978
138
[ 19, 23, 37, 38, 46, 55, 60, 78, 96 ]
[ "((23+55)+60)", "((46+78)+((19-60)+55))", "(78+(37+23))", "(23+((38-19)+96))" ]
2,979
138
[ 9, 13, 16, 33, 34, 51, 54, 56, 73, 97 ]
[ "(54+(97-13))", "((33+54)+51)", "((56+13)+((51-16)+34))", "(56+(73+9))" ]
2,980
138
[ 3, 7, 14, 20, 21, 28, 69, 73, 76, 96 ]
[ "(76+(69-7))", "(7+((14*20)-(73+76)))", "(((14-7)*3)+(96+21))", "((14+28)+96)" ]
2,981
138
[ 7, 10, 32, 35, 43, 56, 64, 71, 72, 73, 93, 95 ]
[ "(((93+95)+10)-(73+(43-56)))", "(35+(10+93))", "((56+(7+43))+32)", "(((64+(43-72))+32)+71)" ]
2,982
138
[ 18, 36, 45, 60, 69, 72, 78, 94, 96 ]
[ "(69*(96-94))", "(96+(60-18))", "((69/36)*72)", "((36+78)+(69-45))" ]
2,983
138
[ 3, 17, 23, 42, 68, 72, 87, 93 ]
[ "((((23*17)/68)/3)*72)", "(93-(23-68))", "((3+42)+93)", "((3*17)+87)" ]
2,984
138
[ 4, 16, 38, 42, 84, 96 ]
[ "(96-(42-84))", "(84+(96-42))", "((38+84)+16)", "(38+(4+96))" ]
2,985
138
[ 4, 5, 11, 23, 30, 53, 58, 64, 85, 90 ]
[ "((85+23)+30)", "((85-5)+58)", "((58+((4-11)+64))+23)", "(90+(53-5))" ]
2,986
138
[ 4, 12, 15, 32, 38, 49, 57, 72, 74, 93 ]
[ "((38+32)+(72-4))", "(32+(57+49))", "(93-(12-57))", "((49+74)+15)" ]
2,987
138
[ 1, 12, 17, 29, 55, 56, 68, 72, 76, 83 ]
[ "(83+(55/1))", "(83-(1-56))", "((68-12)+((55-29)+56))", "((56-83)+(17+(72+76)))" ]
2,988
138
[ 1, 2, 3, 5, 9, 23, 34, 46, 67, 97 ]
[ "(((67+97)-3)-23)", "((97+46)-(2+3))", "(46*(3*1))", "((5*((34-9)+3))-2)" ]
2,989
138
[ 7, 13, 31, 39, 43, 47, 53, 57, 68, 82 ]
[ "((47+7)+(53+31))", "((39+31)+68)", "(57+(13+68))", "(82+(13+43))" ]
2,990
138
[ 3, 4, 18, 25, 28, 43, 48, 81, 83, 85, 98 ]
[ "(((43+4)+98)+((18+3)-28))", "(81-(28-85))", "((85+25)+28)", "(((81+48)-83)*3)" ]
2,991
138
[ 17, 19, 26, 37, 45, 48, 56, 73, 75, 76, 91, 92 ]
[ "((((91+92)-45)/56)*(37+19))", "((17+45)+76)", "(48+(17+73))", "(37+(26+75))" ]
2,992
138
[ 2, 3, 9, 17, 29, 36, 41, 70, 77, 88, 100 ]
[ "(17-(3-(88+(77-41))))", "(70+(77-9))", "(9+(29+100))", "(36+(2+100))" ]
2,993
138
[ 3, 6, 22, 25, 30, 50, 51, 55, 63, 69, 93 ]
[ "((69+63)+6)", "(93+(51-6))", "(55+(63-(((22+30)-69)-3)))", "(50*(69/25))" ]
2,994
138
[ 1, 10, 22, 33, 37, 60, 71, 79, 82, 89 ]
[ "((60+79)-1)", "(22+(37+(79*1)))", "(10+(71-(82-(60+79))))", "(82-(33-89))" ]
2,995
138
[ 2, 15, 39, 45, 50, 54, 66, 74, 83, 84 ]
[ "((54+45)+39)", "(84+(15+39))", "(83+(39+(66-50)))", "((74-2)+66)" ]
2,996
138
[ 11, 14, 16, 36, 61, 63, 66, 88 ]
[ "((61+63)+14)", "((14+88)+36)", "((88+66)-16)", "(61+(66+11))" ]
2,997
138
[ 3, 12, 15, 23, 33, 51, 58, 74, 90, 92, 94, 95, 99 ]
[ "((99+95)+((3+15)-74))", "((99+90)-51)", "((94-(12-33))+23)", "(92-(12-58))" ]
2,998
138
[ 1, 2, 6, 18, 20, 23, 24, 25, 29, 32, 48, 49, 60, 66, 68, 84 ]
[ "(((66-25)+48)+49)", "(((25*(2-1))+29)+(60+24))", "(6+((((84+32)-25)+23)+18))", "((6+68)-(20-84))" ]
2,999
138
[ 6, 11, 17, 27, 31, 50, 69, 70, 71, 79 ]
[ "((11+27)+(31+69))", "(79-(11-70))", "((50-27)*6)", "((71+17)+50)" ]
3,000
138
[ 9, 10, 12, 21, 32, 44, 52, 62, 75, 78, 85, 92 ]
[ "((21+32)+85)", "((62-9)+85)", "((52+21)+(75-10))", "((78-(44-92))+12)" ]