index
int64
target
int64
available_numbers
list
solutions
list
2,701
126
[ 6, 23, 48, 55, 65, 72, 77, 84 ]
[ "((84-23)+65)", "((77+72)-23)", "(23+(55+48))", "(48+(6+72))" ]
2,702
126
[ 3, 16, 19, 26, 28, 50, 51, 72, 77, 100 ]
[ "((77+100)-51)", "(3+(72+51))", "((16+26)*3)", "(50+((28+16)+(51-19)))" ]
2,703
126
[ 4, 8, 9, 14, 32, 41, 78, 81, 94 ]
[ "((41-32)*14)", "(41-(9-94))", "((8*4)+94)", "(((8+81)+78)-41)" ]
2,704
126
[ 10, 14, 19, 39, 46, 51, 52, 55, 61, 79, 98 ]
[ "(46-((51-52)-79))", "(46+(61+19))", "(((98/14)*19)-(46-39))", "((10+55)+61)" ]
2,705
126
[ 17, 18, 24, 36, 63, 70, 75, 85 ]
[ "(((75-36)+24)+63)", "((63/18)*36)", "(18*(70-63))", "(85+(24+17))" ]
2,706
126
[ 1, 16, 36, 49, 53, 60, 71, 89, 93 ]
[ "(36+(89+1))", "(((71+89)-(93-60))-1)", "(49+((1*93)-16))", "(89-(16-53))" ]
2,707
126
[ 4, 18, 28, 38, 49, 60, 65, 70, 99 ]
[ "(99-(38-65))", "(28+(38+60))", "((99*28)/(4+18))", "((49*4)-70)" ]
2,708
126
[ 3, 4, 23, 26, 32, 42, 43, 45, 48, 60, 84, 88 ]
[ "(3-((4-84)-43))", "((43+60)+23)", "((88-4)+42)", "((32-26)+((45-42)*(88-48)))" ]
2,709
126
[ 20, 21, 23, 28, 43, 55, 61, 83, 86 ]
[ "((83+23)+20)", "(83-(43-86))", "((61-21)+86)", "((43+55)+28)" ]
2,710
126
[ 25, 35, 36, 40, 45, 55, 96, 98 ]
[ "(96+(55-25))", "((40+25)-(35-96))", "(35+(36+55))", "(98/(35/45))" ]
2,711
126
[ 17, 31, 32, 61, 67, 73, 75, 84, 90, 96 ]
[ "(73+(84-31))", "((67+90)-31)", "(((96-31)+(32-61))+90)", "(75+((96/32)*17))" ]
2,712
126
[ 1, 2, 11, 13, 44, 55, 57, 69, 83, 91 ]
[ "(((44+91)+(11-83))*2)", "(13+(44+69))", "(69+(55+2))", "(1*(69+57))" ]
2,713
126
[ 6, 13, 22, 45, 47, 54, 57, 66, 81, 92, 94 ]
[ "(6*(((81-22)+54)-92))", "(47+(57+22))", "(13+(66+47))", "(45+(94-13))" ]
2,714
126
[ 7, 46, 53, 73, 80, 81, 85, 87, 92 ]
[ "((80-46)+92)", "((87-46)+85)", "(73+(7+46))", "((46-(81-53))*7)" ]
2,715
126
[ 4, 24, 30, 32, 39, 70, 72, 74, 91, 98 ]
[ "((32+98)-(74-70))", "((74-39)+91)", "((39*4)-30)", "(24+(72+30))" ]
2,716
126
[ 5, 15, 19, 21, 24, 27, 42, 82, 83 ]
[ "((27-24)*42)", "(19+(83+24))", "(82+((42-19)+21))", "((5+(15+24))+82)" ]
2,717
126
[ 19, 25, 27, 44, 57, 71, 78, 88, 99, 100 ]
[ "(78+(100-(27+25)))", "(25+(44+57))", "((71-44)+99)", "((57+88)-19)" ]
2,718
126
[ 7, 8, 16, 25, 38, 43, 52, 67, 85, 89 ]
[ "(85+(16+25))", "((43-25)*7)", "((52+67)+7)", "(((89+8)-38)+67)" ]
2,719
126
[ 8, 9, 14, 15, 18, 46, 48, 57, 72, 78, 87, 93 ]
[ "(87+(57-18))", "(18*(15-8))", "((48-8)+(14+72))", "((78+(46+(72-(93-9))))+14)" ]
2,720
126
[ 6, 20, 26, 29, 50, 56, 71, 77, 78, 96 ]
[ "(56+(96-26))", "((50+56)+20)", "(((29+96)-77)+78)", "(6+(29+(20+71)))" ]
2,721
126
[ 19, 24, 31, 35, 37, 39, 47, 58, 60, 94 ]
[ "((94/47)*(39+24))", "((60+47)+19)", "((31+35)+60)", "((58+31)+37)" ]
2,722
126
[ 9, 11, 12, 35, 36, 38, 40, 45, 53, 70, 80, 82, 88 ]
[ "(9+((70+12)+35))", "(82+(53-9))", "((70-88)*(38-45))", "((80*(36/40))+((11*9)-45))" ]
2,723
126
[ 11, 14, 19, 22, 33, 42, 43, 54, 61, 74, 75, 86, 93 ]
[ "(((74-61)+93)-(22-42))", "(54+(61+11))", "(86+(54-14))", "(((43-(33-75))+22)+19)" ]
2,724
126
[ 8, 11, 12, 21, 29, 32, 37, 39, 48, 50, 67, 77, 80, 81, 82, 85, 89, 92 ]
[ "((8+(92-29))-(21-(39+37)))", "(((8-12)+80)+50)", "(81+(80+(32-67)))", "(((11+82)+77)-((48-89)+85))" ]
2,725
126
[ 2, 4, 27, 28, 31, 34, 38, 49, 57, 62, 69, 76, 84, 89, 95 ]
[ "(((49-28)+27)+(2+76))", "(84+(89+(2-49)))", "((62*4)-(34+(57+31)))", "((95-38)+69)" ]
2,726
127
[ 20, 22, 43, 48, 57, 59, 64, 90 ]
[ "((43+20)+64)", "(59+(20+48))", "((90-20)+57)", "((48+22)+57)" ]
2,727
127
[ 4, 14, 33, 41, 46, 56, 85, 90, 100 ]
[ "(41+(100-14))", "(56-(14-85))", "((46+85)-4)", "(90+(4+33))" ]
2,728
127
[ 7, 9, 11, 25, 36, 52, 64, 95, 100 ]
[ "(36+(100-9))", "(52-(25-100))", "((7*25)+((36+11)-95))", "((9*7)+64)" ]
2,729
127
[ 1, 16, 35, 42, 43, 46, 52, 66, 76, 86 ]
[ "((52+(66+43))+(42-76))", "(86-(1-42))", "((52-46)+(35+86))", "(76+(35+16))" ]
2,730
127
[ 5, 8, 29, 36, 39, 56, 69, 77, 83, 93 ]
[ "((8-56)+((77+29)+69))", "((29+93)+5)", "((83+39)+5)", "((83+8)+36)" ]
2,731
127
[ 13, 21, 25, 28, 33, 35, 43, 51, 74, 81 ]
[ "(((51+13)+28)+35)", "((74+25)+28)", "(81+(21+25))", "((33+51)+43)" ]
2,732
127
[ 3, 12, 14, 27, 28, 31, 56, 77, 95, 97 ]
[ "(95-(27-(56+3)))", "((27+97)+3)", "((77+(95-14))-31)", "(28+(14-(12-97)))" ]
2,733
127
[ 12, 24, 46, 47, 59, 68, 70, 83, 91 ]
[ "(12+(68+47))", "((68-24)+83)", "((91-47)+83)", "(((68+(59+24))-70)+46)" ]
2,734
127
[ 2, 8, 9, 17, 26, 32, 72, 75, 84 ]
[ "((84+26)+17)", "(((72*17)/8)-26)", "(84+(75-32))", "((2+32)+(84+9))" ]
2,735
127
[ 7, 9, 20, 23, 29, 33, 35, 68, 72, 88, 96 ]
[ "((9-20)-(23*(29-35)))", "(88+(68-29))", "((72+88)-33)", "(33-(9-(7+96)))" ]
2,736
127
[ 1, 2, 10, 35, 41, 45, 55, 69, 84, 88, 99 ]
[ "(10+(84-(2-35)))", "(41+(2+84))", "(10+((88+55)-(2+(69-45))))", "((99+(69/1))-41)" ]
2,737
127
[ 13, 22, 44, 45, 50, 53, 64, 76, 96 ]
[ "((76-45)+96)", "(96+(53-22))", "((44-13)+96)", "((64+13)+50)" ]
2,738
127
[ 4, 11, 16, 39, 40, 42, 48, 55, 83 ]
[ "((40+48)+39)", "((48+83)-4)", "(55+(83-11))", "(((16-11)*42)-83)" ]
2,739
127
[ 11, 36, 43, 59, 62, 65, 78, 79, 91, 98 ]
[ "(98+(91-62))", "((79-43)+91)", "(79-(11-59))", "((59-((65*36)/78))+98)" ]
2,740
127
[ 7, 13, 18, 38, 42, 54, 60, 63, 82, 84 ]
[ "(42-((38-63)-60))", "((7+38)+82)", "(60+(54+13))", "((54-18)+(84+7))" ]
2,741
127
[ 7, 12, 18, 39, 51, 59, 80, 81, 86, 92 ]
[ "((86-18)+59)", "((59-12)+80)", "((92+86)-51)", "((81-(7-92))-39)" ]
2,742
127
[ 11, 17, 23, 32, 37, 41, 70, 74, 82, 83, 86, 90 ]
[ "(90+(74-37))", "((74+70)-17)", "(90-(86-(41+82)))", "(((32*11)-(23+37))-(83+82))" ]
2,743
127
[ 3, 4, 10, 26, 34, 50, 52, 65, 67, 80, 87 ]
[ "(87+(80/((10-4)/3)))", "(67+(50+10))", "(10+(52+65))", "(34+(26+67))" ]
2,744
127
[ 1, 2, 28, 39, 46, 50, 61, 62, 75, 76, 85 ]
[ "(76-(39-(62+28)))", "((46/2)+(28+76))", "((75+50)+2)", "((1*61)-((85-75)-76))" ]
2,745
127
[ 2, 15, 38, 41, 53, 54, 57, 58, 59, 67, 71 ]
[ "((41-38)+(53+71))", "((71+(58+57))-59)", "(54+(15+58))", "(67+(58+2))" ]
2,746
127
[ 16, 22, 32, 34, 42, 61, 64, 66, 71, 91, 100 ]
[ "((100-(71-66))+32)", "(100-(34-61))", "(91-(64-100))", "((91+42)-(22-16))" ]
2,747
127
[ 10, 12, 36, 43, 46, 77, 78, 79, 81, 82, 84, 87 ]
[ "((12+(82-87))+(77+43))", "((46+(87+78))-84)", "(79+(84-36))", "(36+(81+10))" ]
2,748
127
[ 12, 15, 28, 30, 34, 55, 57, 63, 69, 72, 84, 93, 99, 100 ]
[ "(((84+15)/99)*(93+34))", "(((57+63)-93)+100)", "(((55-(69-72))+57)+12)", "((69+28)+30)" ]
2,749
127
[ 2, 12, 17, 19, 25, 27, 29, 30, 32, 38, 71, 76, 89, 97 ]
[ "(27+((71+12)+17))", "((27+(30+32))+38)", "(((30+76)+29)+(89-97))", "((89-(12/2))+(25+19))" ]
2,750
127
[ 6, 7, 16, 22, 41, 60, 61, 64, 65, 88, 90, 94, 96, 98 ]
[ "(((7-(64-88))+6)+90)", "((96-98)+(88+41))", "((98-65)+94)", "((22+60)+(61-16))" ]
2,751
129
[ 19, 23, 29, 34, 51, 64, 81, 84, 86, 99 ]
[ "(64-(19-84))", "(19+(29+81))", "(99-(34-64))", "(86+(99+(51-(23+84))))" ]
2,752
129
[ 5, 11, 26, 31, 38, 62, 63, 77, 93, 97 ]
[ "((62+26)+(77-(31+5)))", "(93-(26-62))", "(63-(31-97))", "(93+(63+(11-38)))" ]
2,753
129
[ 11, 20, 25, 32, 39, 62, 72, 74, 77, 81, 96 ]
[ "((25+81)+(62-39))", "((32+72)+25)", "(77+(32+20))", "((74-32)+(11-(20-96)))" ]
2,754
129
[ 1, 7, 10, 17, 18, 25, 29, 30, 31, 48, 69, 92 ]
[ "((10-29)+((31+92)+25))", "((18+25)/(10/30))", "(10+(17*7))", "(((48+29)+69)-(17/1))" ]
2,755
129
[ 15, 49, 55, 59, 67, 69, 70, 72, 77 ]
[ "(15+(55+59))", "(67-(15-77))", "((72+(59+67))-69)", "(69-((59-49)-70))" ]
2,756
129
[ 2, 15, 18, 37, 45, 61, 66, 76, 86 ]
[ "((66+2)+61)", "(18+(45+66))", "((76+(2*45))-37)", "((76+86)-(18+15))" ]
2,757
129
[ 1, 23, 40, 69, 82, 83, 90, 100 ]
[ "((83-23)+69)", "(69+(100-40))", "((40-(83-90))+82)", "((90+40)-1)" ]
2,758
129
[ 23, 27, 29, 38, 65, 68, 72, 76, 79, 84 ]
[ "((68+38)+23)", "(79+(27+23))", "(((68-29)+76)+(79-65))", "(72-(27-84))" ]
2,759
129
[ 1, 3, 15, 21, 33, 51, 52, 53, 56, 72, 76, 95 ]
[ "(((3*51)-21)+(53-56))", "(53+(76/1))", "(21-((15-72)+(1-52)))", "((33+1)+95)" ]
2,760
129
[ 1, 10, 24, 45, 48, 60, 81, 86, 93 ]
[ "(45+(60+24))", "((93+81)-45)", "(((93-60)+86)+10)", "((1*81)+48)" ]
2,761
129
[ 16, 19, 22, 27, 40, 43, 47, 49, 75, 81, 98 ]
[ "(((49-22)/(43-16))+(81+47))", "(43*(19-16))", "(((75+43)+27)-16)", "(((98+22)/40)*43)" ]
2,762
129
[ 3, 11, 28, 32, 45, 69, 70, 73, 91 ]
[ "((11+45)+73)", "((11+32)*3)", "(28+(69+32))", "((70-32)+91)" ]
2,763
129
[ 6, 13, 16, 19, 34, 59, 79, 89 ]
[ "((16*13)-79)", "(16+(79+34))", "(89+(6+34))", "(89-(19-59))" ]
2,764
129
[ 4, 10, 14, 20, 50, 58, 66, 69, 74, 75, 95 ]
[ "(95+(20+14))", "((75+74)-20)", "(75+(58-4))", "((((69*10)-50)-(58+66))/4)" ]
2,765
129
[ 36, 37, 40, 42, 43, 46, 47, 50, 91 ]
[ "((36+43)+50)", "((50+37)+42)", "((40+42)+47)", "(47+(91+(37-46)))" ]
2,766
129
[ 2, 21, 29, 37, 50, 60, 68, 69, 71, 89, 93, 96, 99 ]
[ "((69+(89+(2+37)))-68)", "(60-(2-71))", "((50*2)+29)", "(((96+89)-99)-((21-93)+29))" ]
2,767
129
[ 13, 17, 28, 35, 40, 43, 51, 66, 71, 81 ]
[ "(43*(51/17))", "((71+35)-(17-40))", "(28+(66+35))", "((35+81)+13)" ]
2,768
129
[ 1, 2, 7, 14, 33, 49, 62, 67, 87, 97 ]
[ "((14+(1-(33-87)))+(62-2))", "(62+(67*1))", "(97+(33-1))", "(49+(87-7))" ]
2,769
129
[ 4, 11, 22, 23, 30, 35, 75, 80, 84 ]
[ "((80-35)+84)", "(84-(30-75))", "((84+(30+11))+4)", "((22+84)+23)" ]
2,770
129
[ 2, 4, 9, 12, 14, 32, 39, 65, 67, 86, 94 ]
[ "(((12+14)+94)+9)", "((94+67)-32)", "((2*(65+4))-9)", "((86+4)+39)" ]
2,771
129
[ 20, 38, 39, 40, 52, 57, 69, 78, 83, 86, 92 ]
[ "((78-52)+(83+20))", "((57-20)+92)", "(39+(38+52))", "(((86+52)-38)+(69-40))" ]
2,772
129
[ 1, 3, 5, 13, 39, 41, 48, 49, 54, 80, 84, 87, 93, 96 ]
[ "(1+((49-5)+84))", "((41+39)+49)", "(80-(5-54))", "(((3-48)+96)-((87-93)*13))" ]
2,773
129
[ 8, 9, 13, 17, 26, 53, 56, 68, 75, 81, 90, 91, 95, 99 ]
[ "(17+((91+13)+8))", "((99+75)-(53-8))", "((56-9)-(13-95))", "(26-((68-90)-81))" ]
2,774
129
[ 3, 4, 19, 28, 30, 31, 46, 48, 62, 73, 74, 97 ]
[ "(97+(4+28))", "(31+((48*3)-46))", "((48+62)+19)", "((73+30)-(48-74))" ]
2,775
129
[ 11, 15, 18, 24, 26, 27, 35, 48, 61, 70, 82, 85, 89, 96 ]
[ "(15+(18+96))", "(85+(70-26))", "((27+(24-11))+89)", "((82+48)-(35+(27-61)))" ]
2,776
130
[ 4, 15, 20, 28, 36, 40, 65, 75, 98 ]
[ "((98+36)-4)", "(((98+28)+40)-36)", "((65/28)*(20+36))", "((4+75)+(15+36))" ]
2,777
130
[ 8, 14, 32, 46, 55, 64, 65, 76, 97 ]
[ "(46+(76+8))", "(8+((14+76)+32))", "((55+76)+((32-97)+64))", "((65-32)+97)" ]
2,778
130
[ 2, 10, 17, 22, 39, 61, 67, 74, 75 ]
[ "((67+2)+61)", "(10*(74-61))", "(67-((22-75)-10))", "(17+(74+39))" ]
2,779
130
[ 13, 17, 27, 28, 54, 61, 65, 89, 100 ]
[ "((13+28)+89)", "(17+(100+13))", "(((61+17)-13)+65)", "((65*54)/27)" ]
2,780
130
[ 3, 22, 30, 33, 37, 63, 64, 85 ]
[ "((3+64)+63)", "((63+33)-(30-64))", "((30+37)+63)", "(((3-22)+85)+64)" ]
2,781
130
[ 1, 7, 18, 20, 27, 46, 49, 61, 70, 84, 89 ]
[ "((18+(1+49))+(89-27))", "(1*(84+46))", "(((20+1)-(7-70))+46)", "(61+(20+49))" ]
2,782
130
[ 19, 21, 24, 40, 66, 69, 71, 90 ]
[ "(19+(21+90))", "((69+40)+21)", "((71+19)+40)", "(66+(40+24))" ]
2,783
130
[ 2, 11, 38, 45, 49, 60, 63, 76, 94 ]
[ "(2+(63+(76-(49-38))))", "(76+(2*(38-11)))", "((94-2)+38)", "((45+60)+(63-38))" ]
2,784
130
[ 9, 39, 57, 69, 70, 79, 82, 89, 98, 99 ]
[ "((39-89)+(82+98))", "(57-(9-82))", "(69+(79-(57-39)))", "(70+(99-39))" ]
2,785
130
[ 12, 13, 14, 26, 38, 74, 82, 91, 95 ]
[ "((12*14)-38)", "((13*12)-26)", "((82+74)-26)", "((26+95)-(82-91))" ]
2,786
130
[ 7, 33, 43, 47, 77, 80, 90, 93, 100 ]
[ "(7+(80+43))", "((47+90)-7)", "((93+33)+(47-43))", "(100-(47-77))" ]
2,787
130
[ 5, 8, 10, 17, 20, 34, 51, 59, 79 ]
[ "((5+8)*10)", "(59+(79-8))", "(17+(79+34))", "(59+(51+20))" ]
2,788
130
[ 5, 18, 20, 22, 26, 40, 64, 70, 90, 100 ]
[ "((26/18)*90)", "(26/(20/100))", "((70-40)+100)", "(((22+64)+40)+(20/5))" ]
2,789
130
[ 4, 28, 42, 46, 48, 56, 67, 72, 78, 87 ]
[ "(78+(72-(87-67)))", "(78-(4-56))", "(46+(56+28))", "(((78+46)+48)-42)" ]
2,790
130
[ 6, 25, 32, 47, 49, 51, 70, 75, 85, 88 ]
[ "((32+47)+51)", "((49+(25-32))+88)", "(75+(6+49))", "((70+85)-25)" ]
2,791
130
[ 24, 27, 34, 39, 42, 54, 64, 79 ]
[ "(24+(27+79))", "(64+(27+39))", "(64+(24+42))", "(54+(42+34))" ]
2,792
130
[ 1, 4, 6, 7, 29, 34, 40, 44, 47, 50, 53, 76, 82, 84 ]
[ "(6-((((4-40)-47)-34)-7))", "((4+82)+44)", "(((82-1)+44)-((50-84)+29))", "((1+76)+53)" ]
2,793
130
[ 9, 16, 27, 28, 30, 32, 45, 55, 69, 83, 84, 90 ]
[ "(((30-28)*(90-9))-32)", "(30+(16+84))", "((16+69)+45)", "(((83+30)-55)+(27+45))" ]
2,794
130
[ 5, 37, 49, 52, 65, 66, 70, 83, 88 ]
[ "(49+((52+66)-37))", "(52-(5-83))", "(37+(88+5))", "(52+((83-70)+65))" ]
2,795
130
[ 3, 11, 33, 41, 44, 55, 86, 89, 99 ]
[ "(44-(3-89))", "((3+41)+86)", "((86-55)+99)", "(33+(86+11))" ]
2,796
130
[ 1, 2, 11, 19, 31, 32, 37, 56, 65, 80, 99 ]
[ "((80+19)+31)", "((1*99)+31)", "(65*(1*2))", "((37+80)-((11+32)-56))" ]
2,797
130
[ 5, 14, 15, 19, 32, 36, 38, 44, 52, 71, 91, 95, 100 ]
[ "((100-((36-38)-32))+(15-19))", "(71+(44+15))", "(15-((14+91)-(44*5)))", "(52/(38/95))" ]
2,798
130
[ 8, 11, 21, 22, 37, 38, 39, 40, 50, 66, 69, 72, 84, 92 ]
[ "((50+11)+69)", "(((92+21)+69)-((22+38)-8))", "((37+40)-((8-22)-39))", "(66+(72-(92-84)))" ]
2,799
130
[ 3, 7, 16, 48, 55, 59, 61, 66, 68, 76, 83, 90, 94 ]
[ "((68-(94-90))+66)", "((61+66)+3)", "(83+(55+(68-76)))", "(16+(59+(7+48)))" ]
2,800
130
[ 4, 7, 16, 21, 25, 36, 43, 49, 54, 62, 63, 77, 81, 85, 98 ]
[ "((98+81)-49)", "((85+36)+(63/7))", "(((43-4)+21)+(54+16))", "((77-(25-62))+16)" ]