index
int64
target
int64
available_numbers
list
solutions
list
2,801
131
[ 26, 27, 29, 36, 40, 44, 55, 64, 76, 87 ]
[ "(44-((26-27)*87))", "((27+40)+64)", "(40+(55+36))", "((26+29)+76)" ]
2,802
131
[ 3, 6, 10, 22, 31, 37, 38, 63, 69, 99 ]
[ "((99+22)+10)", "((63*3)+(31-(99-10)))", "((99-37)+69)", "((99-6)+38)" ]
2,803
131
[ 1, 4, 12, 28, 39, 41, 61, 74, 90, 91 ]
[ "(91+(28+12))", "(((91+12)-(1-90))-61)", "(1+(39+91))", "(((4+(12+74))+41)/1)" ]
2,804
131
[ 8, 13, 30, 37, 59, 64, 68, 76, 85, 100 ]
[ "((59+64)+8)", "(59+(85-13))", "(85+((100-(8-30))-76))", "((100+68)-37)" ]
2,805
131
[ 21, 22, 28, 39, 70, 82, 89 ]
[ "(70-(21-82))", "((21+82)+28)", "(70+(89-28))", "(39+(22+70))" ]
2,806
131
[ 14, 15, 27, 33, 71, 74, 78, 84 ]
[ "(((78+71)+15)-33)", "(71+(33+27))", "(74+(71-14))", "((14+84)+33)" ]
2,807
131
[ 1, 10, 33, 35, 45, 62, 86, 91, 94, 95 ]
[ "((45+86)/(95-94))", "((1*45)+86)", "((86+10)+35)", "((62+33)-(45+(10-91)))" ]
2,808
131
[ 1, 22, 32, 40, 48, 56, 75, 78, 88 ]
[ "(75-(22-78))", "(75+(56*1))", "((88+75)-32)", "(((75+40)+48)-32)" ]
2,809
131
[ 1, 29, 55, 62, 68, 72, 88, 98 ]
[ "(68+(62+1))", "(1*(98-(29-62)))", "((88+72)-29)", "(98+(88-55))" ]
2,810
131
[ 1, 5, 25, 32, 40, 43, 54, 63, 85, 93 ]
[ "((5+40)+(85+1))", "((93+43)-5)", "(((32+85)-(54-43))+25)", "((25+43)+63)" ]
2,811
131
[ 1, 16, 17, 33, 41, 48, 72, 75, 99 ]
[ "(75+(72-16))", "(48+(99-16))", "(16+((99+17)-1))", "(41+(75+(48-33)))" ]
2,812
131
[ 1, 13, 14, 25, 37, 57, 60, 63, 80, 92 ]
[ "((1-13)+(63+80))", "((37+14)+80)", "((25+92)+14)", "(60+(14+57))" ]
2,813
131
[ 6, 11, 25, 42, 52, 64, 73, 74, 87 ]
[ "((6+87)-((25-74)+11))", "(52+(6+73))", "((73-6)+64)", "(64+(42+25))" ]
2,814
131
[ 8, 18, 24, 28, 36, 38, 52, 53, 64, 65, 84, 97 ]
[ "((53-52)+(38+(28+64)))", "(97+(52-18))", "(53+((36+18)+24))", "((84/(18/(65-8)))-(97+38))" ]
2,815
131
[ 7, 17, 18, 19, 54, 67, 73, 77, 85, 94, 98 ]
[ "(85+(((54+73)-98)+17))", "(77-(19-73))", "((94-77)+((54+67)-7))", "(18+(94+19))" ]
2,816
131
[ 15, 16, 19, 23, 35, 46, 49, 52, 58, 69, 89, 90, 93 ]
[ "(89+(19+23))", "(15+((((35+69)+93)-58)-23))", "((93-52)+90)", "((46+(52+49))-16)" ]
2,817
131
[ 8, 21, 24, 26, 27, 53, 65, 76, 77, 81, 84 ]
[ "(((65+53)+(76-84))+21)", "((84+26)+21)", "((24+26)+81)", "((65-(27-(77+24)))-8)" ]
2,818
131
[ 2, 8, 10, 20, 43, 45, 66, 68, 74, 80, 90 ]
[ "(45+(2*43))", "(((80+43)+74)-66)", "((43-68)+(90+66))", "((43+66)-((8-20)-10))" ]
2,819
131
[ 25, 29, 40, 42, 49, 50, 54, 63, 67, 70, 73, 81, 86, 92 ]
[ "((73+(25+(63-67)))+(86-49))", "(((54+81)+(70-25))-49)", "((92+81)-42)", "((54+50)-(42-(40+29)))" ]
2,820
131
[ 7, 8, 16, 24, 26, 29, 33, 61, 77, 81, 83 ]
[ "(8+(16+(24+83)))", "(81+(83-33))", "((29+26)-(7-83))", "(77-(7-61))" ]
2,821
131
[ 3, 21, 30, 42, 50, 53, 54, 62, 65, 72, 78 ]
[ "((72+30)+((53-78)+54))", "(((54-3)+78)+(42/21))", "(62-(3-72))", "(50-((62-65)-78))" ]
2,822
131
[ 13, 20, 21, 39, 46, 49, 72, 77, 95, 98 ]
[ "((13+20)+98)", "((95+49)-13)", "((13+72)+46)", "((72+21)+(77-39))" ]
2,823
131
[ 4, 8, 11, 16, 18, 35, 36, 40, 43, 58, 77, 82, 91, 100 ]
[ "((100+(43+35))-(36+11))", "((36+4)+91)", "((91-(58-16))+82)", "(77+((8*4)-(18-40)))" ]
2,824
131
[ 1, 2, 6, 13, 31, 41, 42, 50, 56, 59, 60, 62, 67, 68, 95 ]
[ "(60-(50-(((2*41)+95)-56)))", "((31+59)+41)", "((59+6)-(1-67))", "((42+(41-68))+((67-13)+62))" ]
2,825
131
[ 1, 10, 12, 24, 25, 39, 40, 41, 44, 47, 66, 70, 71, 72, 74, 75, 79, 88, 91, 97 ]
[ "((39+70)+(44-(10+12)))", "(((41-70)/(1/(40-47)))-72)", "((66-79)+(((40*75)/25)+24))", "((88+97)-(71-(91-74)))" ]
2,826
132
[ 1, 3, 4, 9, 10, 12, 14, 17, 24, 34, 58, 88, 96 ]
[ "(((24/(12*3))+14)*9)", "((12*17)+((14-96)+10))", "((58+88)-14)", "(((34+4)+((1*24)+12))+58)" ]
2,827
132
[ 1, 22, 30, 34, 46, 55, 57, 74, 76 ]
[ "((55+76)+1)", "((57+1)+74)", "((76+34)+22)", "(((30+46)+22)+34)" ]
2,828
132
[ 5, 25, 35, 45, 47, 72, 87, 92 ]
[ "((45-5)+92)", "(5+(35+92))", "((92-47)+87)", "((72+25)+35)" ]
2,829
132
[ 7, 21, 23, 30, 44, 51, 58, 60 ]
[ "((44+58)+(60-30))", "((21*44)/7)", "((21+60)+51)", "((23+51)+58)" ]
2,830
132
[ 12, 17, 35, 44, 49, 52, 54, 55, 66, 69 ]
[ "(((55+52)+69)-44)", "(55+((35-12)+54))", "(54+(66+12))", "((17+49)+66)" ]
2,831
132
[ 2, 20, 22, 23, 24, 26, 36, 43, 58, 64, 67, 82, 93, 98 ]
[ "(36-((26-23)-((93-58)+64)))", "((93-82)+((43+20)+58))", "(67+(43+22))", "(22*(24-(2+(98-82))))" ]
2,832
132
[ 4, 19, 24, 30, 40, 49, 52, 54, 59, 62, 77, 83 ]
[ "(62-((((40+52)-49)-30)-83))", "(24+(59+49))", "((59+54)+19)", "((77-4)+59)" ]
2,833
132
[ 4, 6, 20, 50, 53, 62, 67, 75, 78, 99 ]
[ "((67+62)+(78-75))", "(50+(4+78))", "(6*(75-53))", "((99+53)-20)" ]
2,834
132
[ 4, 7, 13, 20, 27, 28, 30, 43, 44, 59, 86, 89 ]
[ "((89-27)-(44-(28+86)))", "((30+13)+89)", "(20+(28*4))", "((59+(27+7))+(43-4))" ]
2,835
132
[ 20, 29, 30, 39, 57, 63, 75, 83, 86, 89, 94 ]
[ "((75-(89-63))+83)", "(86-(29-75))", "(((29+75)+94)*(20/30))", "((20-(39-57))+94)" ]
2,836
132
[ 6, 25, 26, 41, 61, 62, 65, 96 ]
[ "((65+26)+41)", "(6+(61+65))", "((96+62)-26)", "(61-(25-96))" ]
2,837
132
[ 3, 16, 19, 38, 62, 73, 75, 76, 78 ]
[ "((73-16)+75)", "((73-3)+62)", "((75-19)+76)", "((78+(16+76))-38)" ]
2,838
132
[ 17, 34, 43, 45, 47, 48, 50, 57, 61, 72, 96 ]
[ "(((34+45)-43)+96)", "((50+48)+34)", "((17+72)+43)", "((47+((72+17)+57))-61)" ]
2,839
132
[ 9, 12, 15, 19, 50, 63, 67, 71, 84, 94 ]
[ "(71+(9-(15-67)))", "((84-19)+67)", "(50+(63+19))", "(50-(12-94))" ]
2,840
132
[ 11, 12, 31, 33, 45, 68, 76, 87, 88, 95 ]
[ "(87+(88+(33-76)))", "(76+(68-12))", "(88+(11+(45-12)))", "(95+(68-31))" ]
2,841
132
[ 10, 22, 26, 39, 46, 56, 57, 60, 78, 81, 97 ]
[ "(97-(46-81))", "(26+(46+60))", "((60*22)/10)", "((60*(10+78))/(39-(56-57)))" ]
2,842
132
[ 7, 25, 36, 44, 59, 61, 74, 77, 80, 83, 84, 94 ]
[ "((83+74)-25)", "((74-36)+94)", "((84-(36-7))+((94+44)-61))", "(77/((80-59)/36))" ]
2,843
132
[ 3, 11, 28, 30, 32, 35, 42, 50, 56, 62, 69, 80, 95, 96 ]
[ "(3*(35-((56-95)+30)))", "((42-56)+((62-11)+95))", "((96+69)+(62-95))", "((32+((80+56)-(50-42)))-28)" ]
2,844
132
[ 5, 7, 15, 16, 29, 33, 36, 43, 44, 48, 64, 99 ]
[ "(((7+5)*15)-48)", "(((15+33)*99)/36)", "(64-((5-29)-44))", "(29+(16+(44+43)))" ]
2,845
132
[ 1, 2, 11, 31, 41, 44, 60, 70, 77, 93, 99 ]
[ "(((99-44)+(77/11))+70)", "(60+(70+2))", "(93-(2-41))", "((1*93)-(31-70))" ]
2,846
132
[ 10, 20, 21, 45, 49, 56, 66, 70, 98 ]
[ "((98/49)*66)", "(66/(10/20))", "(20+(70+(98-56)))", "((66+21)+45)" ]
2,847
132
[ 2, 4, 12, 22, 25, 47, 56, 63, 64, 66, 94, 100 ]
[ "(((2-64)+94)+100)", "(56+(64+12))", "((56+(47+25))+4)", "((63+(25+66))-22)" ]
2,848
132
[ 7, 9, 13, 21, 22, 29, 32, 40, 41, 42, 45, 53, 62, 73, 95 ]
[ "(73-((42-41)-(13+(7+40))))", "(((13+45)-21)+95)", "((9+41)+(29+53))", "((45+22)+((62-29)+32))" ]
2,849
132
[ 16, 23, 28, 35, 36, 37, 61, 66, 67, 69, 71, 91, 96 ]
[ "((28+71)+(69-36))", "((28-23)+(66+61))", "((16+(61+91))+(35-71))", "(((66+37)+96)-67)" ]
2,850
132
[ 18, 21, 23, 24, 42, 43, 44, 47, 62, 65, 66, 68, 71, 77, 78, 88, 90 ]
[ "((42*(68-90))/(71-78))", "(65+(23+(68-24)))", "(((77+66)-(44-18))+(62-47))", "((88-43)+(66+21))" ]
2,851
133
[ 2, 13, 23, 46, 55, 63, 68, 88, 91 ]
[ "((88-46)+91)", "(((2*55)+(46+68))-91)", "(88-(23-68))", "(13+(63+(2+55)))" ]
2,852
133
[ 7, 14, 15, 26, 42, 47, 52, 61, 86, 91, 92, 99 ]
[ "((91-(26-61))+7)", "(7*((92-26)-(99-52)))", "((61-14)+86)", "(((99+47)+14)+(15-42))" ]
2,853
133
[ 5, 6, 23, 33, 39, 43, 45, 47, 51, 95 ]
[ "(5+(33+95))", "((51-33)+(5*23))", "((51+39)+43)", "((33+6)+((45-43)*47))" ]
2,854
133
[ 13, 23, 28, 41, 46, 69, 76, 82, 90, 92 ]
[ "(92+(28+13))", "((82-41)+92)", "(23+(28+82))", "(((46+76)-82)+(90+(69/23)))" ]
2,855
133
[ 3, 6, 15, 22, 31, 32, 37, 61, 80 ]
[ "((15-22)*(61-80))", "((22+31)+80)", "((80-37)+(6*15))", "((32+3)+(37+61))" ]
2,856
133
[ 1, 7, 47, 49, 60, 74, 77, 83, 87 ]
[ "(49+(7+77))", "((1+83)+49)", "(60-(1-74))", "((47-1)+87)" ]
2,857
133
[ 25, 29, 32, 40, 46, 53, 61, 78, 79, 94 ]
[ "((53-46)+(32+94))", "((29+(40+(32-46)))+78)", "((32+40)+61)", "((25+29)+79)" ]
2,858
133
[ 1, 4, 13, 16, 34, 37, 39, 46, 55, 65, 68, 76, 86 ]
[ "(((76-37)+((39+65)/4))+68)", "((65+13)+55)", "(86+((13+68)-34))", "((34+((46+37)/1))+16)" ]
2,859
133
[ 4, 15, 42, 44, 62, 64, 67, 71, 84 ]
[ "((67+62)+4)", "((15-((62-42)-71))+67)", "((64+(71-44))+42)", "((84-15)+64)" ]
2,860
133
[ 1, 28, 34, 44, 62, 90, 99 ]
[ "(34+(99*1))", "(90-(1-44))", "(90+(44-1))", "(62+(99-28))" ]
2,861
133
[ 6, 9, 17, 20, 51, 57, 62, 82, 90, 91, 96 ]
[ "(9-((17-90)-(57-6)))", "(20+(96+17))", "(((82+9)+62)-20)", "((82/(91-90))+51)" ]
2,862
133
[ 8, 10, 11, 24, 40, 48, 56, 69, 82, 87 ]
[ "((48/8)+(40+87))", "(56-(10-87))", "((40+82)+11)", "((24+40)+69)" ]
2,863
133
[ 5, 24, 40, 45, 50, 54, 59, 68, 89, 93, 98 ]
[ "(40+((45+98)-50))", "(98+(89-54))", "(59+(50+24))", "(24+((93-(68+5))+89))" ]
2,864
133
[ 2, 10, 15, 18, 35, 46, 49, 52, 63, 67, 83 ]
[ "(((46-10)+63)-(15-49))", "((46+67)-(15-35))", "(52+(18+63))", "((52-2)+83)" ]
2,865
133
[ 1, 13, 18, 19, 21, 38, 50, 62, 70, 84, 94, 96 ]
[ "((62-(94-50))+(96-(19-38)))", "(62-(13-84))", "((94+21)+18)", "((70+62)+1)" ]
2,866
133
[ 6, 7, 11, 18, 21, 31, 39, 45, 78, 86, 88 ]
[ "(21+((88+31)-7))", "(39+(11+((7+31)+45)))", "((86+78)-31)", "((6+18)+(78+31))" ]
2,867
133
[ 28, 38, 40, 44, 47, 61, 69, 76, 89, 91, 100 ]
[ "(38+((44+91)-40))", "((91+89)-47)", "((69-76)+(100+40))", "((61+100)-28)" ]
2,868
133
[ 4, 12, 13, 24, 27, 33, 46, 54, 82, 88, 97 ]
[ "((12-(46-88))+((4*13)+27))", "((33+54)+46)", "(24+(12+97))", "(82+(97-46))" ]
2,869
133
[ 2, 7, 29, 33, 37, 67, 71, 75, 93 ]
[ "(71+(33+29))", "(75+(29*2))", "((67+37)+29)", "((7+33)+93)" ]
2,870
133
[ 2, 5, 6, 8, 13, 16, 36, 46, 56, 76, 78, 93 ]
[ "(5+(8*16))", "((56+16)-(2-(76-13)))", "(6+(13+(78+36)))", "((93-6)+46)" ]
2,871
133
[ 20, 23, 35, 41, 49, 53, 57, 66, 72, 87 ]
[ "(53+(57+23))", "((41+57)+35)", "((23-49)+(72+87))", "((66+87)-20)" ]
2,872
133
[ 1, 21, 22, 36, 49, 51, 60, 72, 78, 80, 82, 98 ]
[ "(22+(60+51))", "(((98+80)+(51-60))-36)", "(((82+78)+22)-49)", "((72-(21-82))/1)" ]
2,873
133
[ 1, 9, 16, 20, 27, 30, 43, 57, 58, 65, 71, 77, 78, 80, 81, 95 ]
[ "((80-(43+(27-58)))+(81-16))", "(((78+(20+71))-(95-1))+58)", "((65+95)-(57-30))", "((77+65)-9)" ]
2,874
133
[ 6, 9, 23, 25, 31, 39, 55, 69, 79, 85, 87 ]
[ "(79+((25+23)+6))", "(79-(31-85))", "((85+(39-69))+(87-9))", "((69+9)+55)" ]
2,875
133
[ 3, 7, 18, 26, 30, 33, 46, 48, 50, 56, 64, 70, 72, 84, 86, 93 ]
[ "((93+48)-(26-18))", "(93+(86-46))", "((64+(72+3))-(56-50))", "((7*(30-33))+(70+84))" ]
2,876
134
[ 11, 19, 21, 23, 36, 51, 94, 100 ]
[ "(94+(19+21))", "(((100+36)-21)+19)", "(11+(23+100))", "(51-(11-94))" ]
2,877
134
[ 4, 5, 8, 20, 47, 50, 51, 61, 65, 80, 83 ]
[ "(((65+4)+5)-(20-80))", "(((83+50)+65)-((8+5)+51))", "((4+47)+83)", "(61+(8+65))" ]
2,878
134
[ 14, 26, 50, 54, 70, 73, 91, 94, 96 ]
[ "((54+94)-14)", "((96+94)-(70-14))", "((14+50)+70)", "(91+(50+(73-(54+26))))" ]
2,879
134
[ 8, 40, 52, 58, 60, 66, 74, 81, 84 ]
[ "((58+84)-8)", "(58+(81-(40/8)))", "(60+(66+8))", "(74+(52+8))" ]
2,880
134
[ 9, 14, 15, 20, 29, 32, 33, 57, 73, 92, 93 ]
[ "(32+(9+93))", "((29+32)+73)", "(((57-9)+73)-(20-33))", "((33-20)+((14+15)+92))" ]
2,881
134
[ 4, 9, 16, 45, 51, 55, 80, 98, 99 ]
[ "(98+(9*4))", "(9+(80+45))", "(55-(99-(98+80)))", "(99+(51-16))" ]
2,882
134
[ 3, 15, 35, 40, 51, 52, 76, 84, 91, 92, 96 ]
[ "(((92+52)-76)+(15+51))", "(35+(84+15))", "((3+96)+35)", "((40+91)+3)" ]
2,883
134
[ 21, 22, 23, 27, 34, 51, 54, 61, 78, 83 ]
[ "(78-((21-23)-54))", "(34+(22+78))", "((51+22)+61)", "(83-(27-78))" ]
2,884
134
[ 7, 13, 16, 24, 34, 44, 56, 75, 93, 97 ]
[ "((44+97)-7)", "((13+97)+24)", "((44+56)+34)", "(((44+93)-75)+(56+16))" ]
2,885
134
[ 20, 28, 38, 45, 69, 72, 82, 83, 90, 92 ]
[ "((83+92)+(28-69))", "(45+(69+20))", "((82-20)+72)", "(82-(38-90))" ]
2,886
134
[ 2, 5, 33, 57, 60, 72, 79, 99 ]
[ "(5+(72+57))", "(60+(79-5))", "((72+2)+60)", "((33+99)+2)" ]
2,887
134
[ 17, 29, 31, 38, 41, 42, 44, 45, 57, 60, 67, 80 ]
[ "(67/((57-17)/80))", "(67*((60-41)-17))", "(60+((80+38)-44))", "(31+((67+45)+((42-80)+29)))" ]
2,888
134
[ 3, 33, 37, 41, 49, 52, 60, 86, 89, 90 ]
[ "(49+(33+52))", "((89+(60-52))+37)", "((89-41)+86)", "((41+90)+3)" ]
2,889
134
[ 6, 11, 18, 20, 27, 36, 39, 62, 68, 79, 87, 94 ]
[ "((62+(79-36))-(39-68))", "((6*11)+68)", "(36+(87+11))", "(20+(((27+94)-18)-(68-79)))" ]
2,890
134
[ 1, 11, 28, 32, 39, 54, 56, 62, 78, 95 ]
[ "(62+(11+(54+((95-56)-32))))", "(11+(95+28))", "(56+(78/1))", "((39+95)*1)" ]
2,891
134
[ 3, 12, 16, 28, 37, 45, 48, 59, 60, 75, 84, 91 ]
[ "(12+((28+91)+3))", "((75*3)-91)", "(60+(59+(3+(28-16))))", "((84+91)+((45-(48-37))-75))" ]
2,892
134
[ 24, 25, 34, 35, 47, 52, 53, 64, 81, 85, 96, 100 ]
[ "((100+35)-((64-81)+(52-34)))", "(47+(34+53))", "((96-47)+85)", "((24+25)+85)" ]
2,893
134
[ 1, 5, 12, 14, 31, 38, 45, 58, 82, 84 ]
[ "((84/1)+(38+12))", "(84+(45+5))", "((38+14)+82)", "(58+(31+45))" ]
2,894
134
[ 1, 3, 6, 41, 43, 58, 61, 75, 77, 92, 93, 96 ]
[ "((6+(43*3))-1)", "((77-1)+58)", "((1+41)+92)", "(1*(61-(41-(93+(96-75)))))" ]
2,895
134
[ 7, 8, 12, 13, 24, 31, 32, 47, 78, 80, 94 ]
[ "((7*8)+78)", "((80+78)-24)", "((32+78)-((13+12)+(31-80)))", "((47+94)-7)" ]
2,896
134
[ 8, 20, 27, 29, 54, 72, 76, 78, 91 ]
[ "((54+72)+8)", "((72+91)-29)", "(27+(78+29))", "((78+76)-20)" ]
2,897
134
[ 7, 11, 15, 18, 42, 60, 61, 74, 81, 92 ]
[ "(61+((81-15)+7))", "((42+11)+81)", "((18+42)+74)", "((60-18)+92)" ]
2,898
134
[ 2, 3, 4, 10, 12, 19, 20, 28, 30, 64, 75, 94 ]
[ "(((19+10)+30)+75)", "((3*30)-(20-64))", "((94-28)+(64+4))", "(64+(94-(12*2)))" ]
2,899
134
[ 12, 16, 23, 31, 37, 43, 48, 65, 67, 70, 76, 77, 83, 84, 86, 95 ]
[ "(16+(23+95))", "((70+76)-(77-65))", "(((77-83)+67)+(48+(37-12)))", "((84-(48+31))+(86+43))" ]
2,900
134
[ 2, 13, 38, 39, 51, 58, 62, 68, 69, 72, 73, 78, 84, 88, 90, 91, 93 ]
[ "((68+(91-38))+13)", "((78+62)+(90/(58-73)))", "((88-(62+84))+(72+(69+51)))", "((39+93)+2)" ]