index
int64
target
int64
available_numbers
list
solutions
list
3,001
139
[ 4, 6, 14, 53, 67, 72, 73, 86, 90 ]
[ "((72-6)+73)", "(72+(53+14))", "(90+(53-4))", "(67-(14-86))" ]
3,002
139
[ 10, 20, 45, 52, 55, 67, 74, 97 ]
[ "(45+(74+20))", "((55+10)+74)", "((97+52)-10)", "(67+(52+20))" ]
3,003
139
[ 6, 12, 15, 28, 36, 49, 75, 91, 96 ]
[ "((96-6)+49)", "((15+96)+28)", "(36+(75+28))", "(12+(91+36))" ]
3,004
139
[ 9, 11, 20, 22, 57, 60, 62, 88 ]
[ "(57+(62+20))", "(62-(11-88))", "(60+(88-9))", "(57+(60+22))" ]
3,005
139
[ 2, 18, 20, 33, 34, 72, 85, 88, 97 ]
[ "((34+85)+20)", "(34+(2+(18+85)))", "((33+72)+34)", "(33+((2*97)-88))" ]
3,006
139
[ 2, 17, 26, 36, 79, 83, 86, 96, 98 ]
[ "(2+((98+(86-83))+36))", "(86+(36+17))", "(79-(26-86))", "(26+(96+17))" ]
3,007
139
[ 4, 32, 38, 41, 44, 47, 54, 77, 94 ]
[ "((41+44)+54)", "(4+(41+94))", "(4+((32+94)-(38-47)))", "(94+(77-32))" ]
3,008
139
[ 24, 33, 40, 49, 59, 61, 71, 89 ]
[ "(89-(61-(40+71)))", "(((71+40)-33)+61)", "((24-33)+(59+89))", "(59+(71-(40-49)))" ]
3,009
139
[ 8, 17, 24, 35, 45, 51, 53, 55, 76, 78, 93, 96 ]
[ "((35+78)-((76+(8-17))-93))", "((35+8)+(51+45))", "(((76+51)+53)+(55-96))", "((8*24)-53)" ]
3,010
139
[ 2, 9, 13, 22, 31, 95, 99 ]
[ "((99+9)+31)", "(31+(13+95))", "((9+(13+22))+95)", "((2*22)+95)" ]
3,011
139
[ 8, 22, 25, 31, 32, 64, 68, 77, 82, 85, 95 ]
[ "((8-22)+(68+85))", "((85+32)+22)", "((((25+8)+82)-22)+(77-31))", "((31+95)+(77-64))" ]
3,012
139
[ 8, 21, 27, 46, 52, 59, 66, 69, 70, 92 ]
[ "((46+(92+70))-69)", "((66+27)+46)", "(((8+66)-21)+(27+59))", "((52+66)+21)" ]
3,013
139
[ 2, 15, 17, 45, 52, 54, 57, 58, 64, 67, 92, 97 ]
[ "((67-15)+(92-(57-52)))", "((92+(97+2))-52)", "((57-54)+(97+(58+(45-64))))", "(64+(58+17))" ]
3,014
139
[ 7, 11, 31, 35, 43, 65, 69, 81, 84, 87, 90, 94 ]
[ "(((11-(31-69))+(84+87))-81)", "(((94+(69-90))+31)+35)", "(43+(31+65))", "((65+81)-7)" ]
3,015
139
[ 5, 11, 16, 21, 32, 55, 63, 65, 91, 95, 100 ]
[ "((100+55)-16)", "((16+32)+91)", "(63+((32*5)-(95-11)))", "((95+65)-21)" ]
3,016
139
[ 14, 21, 29, 32, 43, 53, 61, 63, 64, 67, 77, 87, 97, 99 ]
[ "(77+((53+(32+43))+(21-87)))", "(67+(29+43))", "((((21-63)+97)-29)+(99+14))", "((64+61)+14)" ]
3,017
139
[ 3, 12, 19, 22, 38, 48, 73, 79, 82, 84 ]
[ "(((84+19)-12)+48)", "((19+38)+82)", "(79+(22+38))", "(73+(22*3))" ]
3,018
139
[ 7, 8, 14, 27, 46, 54, 67, 78, 79, 86, 87, 91 ]
[ "(((87+27)+8)+((91-7)-67))", "((79-7)+67)", "((86+7)+46)", "((54+78)+(14-7))" ]
3,019
139
[ 2, 13, 21, 31, 51, 60, 73, 75, 76, 92, 96 ]
[ "((73+(51-60))+75)", "((76*2)+(60-73))", "(((96-(60-31))+21)+51)", "(92+(60-13))" ]
3,020
139
[ 10, 13, 15, 36, 39, 62, 63, 66, 71, 82, 88, 89, 97, 99 ]
[ "(62+(66-(15-(89-63))))", "(((66+13)-39)+99)", "((13+36)-((10-(89+82))+71))", "(66-((97-88)-82))" ]
3,021
139
[ 6, 20, 22, 28, 36, 37, 38, 65, 68, 72, 73, 95 ]
[ "((22+73)-((20-36)-(65-37)))", "(65+(68+6))", "(73+(28+38))", "((72-28)+95)" ]
3,022
139
[ 4, 21, 40, 42, 48, 50, 57, 60, 64, 69, 71, 77 ]
[ "((77+69)+((57-60)-4))", "((64+71)+4)", "((57+40)+42)", "(((57-48)*21)-50)" ]
3,023
139
[ 1, 5, 15, 26, 41, 43, 47, 50, 51, 56, 58, 84, 88, 90 ]
[ "(50+(84+5))", "((47-(5-88))+(41+(58-90)))", "(51-((15-56)-(47*1)))", "(43-(26-((15+51)+56)))" ]
3,024
139
[ 1, 3, 7, 12, 22, 30, 31, 33, 42, 49, 60, 62, 70, 80, 88, 89, 92, 97 ]
[ "((49-62)+(92+60))", "(30+((92-12)+(33-(88/22))))", "(7+((89+88)-(42+3)))", "(((80+1)+97)+(31-70))" ]
3,025
139
[ 1, 11, 19, 24, 26, 35, 40, 48, 51, 53, 56, 72, 75, 94 ]
[ "(51+(40+(72-24)))", "(11+(75+(1*53)))", "(19+(26+94))", "((56+48)+35)" ]
3,026
140
[ 16, 17, 58, 63, 65, 92, 93, 94 ]
[ "((65+58)+17)", "((65+92)-17)", "((94+63)-17)", "(63-(16-93))" ]
3,027
140
[ 22, 37, 39, 49, 50, 54, 59, 64, 66, 73 ]
[ "(66-((49-73)-50))", "(37+(54+49))", "(59+((66-39)+54))", "((22+54)+64)" ]
3,028
140
[ 8, 13, 16, 24, 28, 32, 64, 84, 100 ]
[ "((24+32)+84)", "((100+64)-24)", "((28*8)-84)", "(((16+13)-24)*28)" ]
3,029
140
[ 6, 8, 19, 23, 27, 42, 46, 52, 70, 90 ]
[ "(8+(90+42))", "((52+46)+42)", "(((6+19)+27)+(42+46))", "((46*70)/23)" ]
3,030
140
[ 1, 7, 25, 37, 53, 56, 62, 71, 75, 95 ]
[ "(7+(62+71))", "((25+53)+62)", "(7*(95-75))", "(37+((56/7)+(1*95)))" ]
3,031
140
[ 1, 33, 38, 51, 56, 61, 63, 66, 84, 95 ]
[ "((84+56)*1)", "(56*(95/38))", "(56+(51+33))", "(((61+(63+66))-51)+1)" ]
3,032
140
[ 7, 12, 37, 46, 87, 88, 91, 94, 96, 100 ]
[ "((88-94)+(100+46))", "(87+(7+46))", "(37+(96+7))", "(37+(12+91))" ]
3,033
140
[ 1, 3, 13, 37, 40, 44, 57, 83, 87 ]
[ "((57/1)+83)", "(((40-37)*(57/3))+83)", "(13+(40+87))", "(44+(83+13))" ]
3,034
140
[ 5, 14, 16, 28, 61, 74, 80, 82, 88 ]
[ "((88-28)+80)", "(74-(14-80))", "((61+5)+74)", "((74-16)+82)" ]
3,035
140
[ 2, 41, 54, 61, 65, 76, 79, 85, 89, 99 ]
[ "((65-85)*(54-61))", "(85+((79-65)+41))", "((54+89)+(76-79))", "(79-((76/2)-99))" ]
3,036
140
[ 2, 22, 25, 26, 30, 36, 40, 50, 55, 60, 73, 74 ]
[ "((25+73)+(2+40))", "(55+(60+25))", "(55-(50-((36+25)+74)))", "(((26+60)-30)*(55/22))" ]
3,037
140
[ 4, 28, 32, 33, 36, 60, 65, 67, 71, 76 ]
[ "((4+36)+(33+67))", "(67+((65+36)-28))", "((65+36)-(32-71))", "(4+(76+60))" ]
3,038
140
[ 10, 11, 19, 22, 34, 40, 46, 60, 67, 68, 70 ]
[ "(60+(46+34))", "((67-(34-19))+((60-40)+68))", "((70+10)+60)", "((22/11)*70)" ]
3,039
140
[ 11, 21, 37, 40, 42, 45, 57, 79, 80, 84, 99 ]
[ "((45+(42+(99+11)))-57)", "(37+((45+79)+(21-42)))", "(((79-80)+84)+57)", "(99+(80+(40-79)))" ]
3,040
140
[ 17, 18, 19, 30, 41, 48, 52, 73, 80, 81 ]
[ "((18+30)+(19+73))", "((80-18)+(48+30))", "(41+(18+81))", "(((52+17)+41)+30)" ]
3,041
140
[ 6, 9, 12, 26, 41, 59, 60, 66, 91, 93 ]
[ "((26-12)+(66+60))", "(66-(26-(9+91)))", "((93+59)-12)", "(93+(41+6))" ]
3,042
140
[ 1, 4, 5, 8, 20, 39, 62, 78, 86, 89, 91 ]
[ "((91-((78-89)*4))+5)", "(5*(20+8))", "((39+(20/1))+(86-5))", "((1*78)+62)" ]
3,043
140
[ 18, 49, 54, 57, 58, 64, 85, 86, 93, 95, 96, 97, 98 ]
[ "((58+85)-(54/18))", "((98-54)+96)", "(64-((49-96)+(57-86)))", "((93+98)-((97-95)+49))" ]
3,044
140
[ 2, 3, 7, 12, 28, 35, 49, 52, 56, 63, 81, 84 ]
[ "(81+(52+7))", "((35+(2*12))+81)", "((84/(12*49))*(28*35))", "((3*(35-28))+(63+56))" ]
3,045
140
[ 1, 2, 5, 6, 44, 51, 65, 69, 72, 78, 86, 99 ]
[ "((((51+78)+65)+86)/2)", "((65+5)*2)", "(65+(6+69))", "(((44-69)-5)+(72-(1-99)))" ]
3,046
140
[ 3, 15, 16, 23, 26, 34, 35, 36, 73, 84, 90, 91 ]
[ "((84-34)+90)", "(73+((90-34)+(26-15)))", "(((90-3)-23)*(35/16))", "((91+16)-(3-36))" ]
3,047
140
[ 11, 12, 21, 26, 44, 48, 61, 64, 67, 72, 82, 87, 95 ]
[ "((44+87)-(12-(82-61)))", "(87+(64-11))", "(((67+61)-(11-95))-72)", "((48+95)-((21-44)+26))" ]
3,048
140
[ 3, 10, 27, 35, 38, 42, 55, 61, 65, 73, 97, 100 ]
[ "(97+(35+(38-(3+27))))", "((55+61)-(3-27))", "((38-97)+(73+(65+61)))", "(42*((100/3)/10))" ]
3,049
140
[ 4, 7, 20, 21, 24, 29, 33, 44, 69, 76, 79 ]
[ "(44+(20+76))", "((79-44)*4)", "(((24+69)-29)+76)", "(21+(33+(7+79)))" ]
3,050
140
[ 1, 3, 11, 14, 21, 26, 36, 37, 48, 52, 54, 63, 74, 78, 82, 83, 99 ]
[ "(((54+83)-((26-3)+48))+74)", "((21+83)+36)", "((82+99)+(37-78))", "((((63*1)+14)+52)+11)" ]
3,051
141
[ 23, 26, 27, 32, 35, 55, 60, 79, 83, 88, 90 ]
[ "(79+(27+35))", "((35+((32+(23+55))-83))+79)", "((55+60)+26)", "(((23+88)+90)-60)" ]
3,052
141
[ 10, 43, 54, 57, 87, 90, 94, 97 ]
[ "(87-(43-97))", "(97+(54-10))", "((94-10)+57)", "(90-(43-94))" ]
3,053
141
[ 26, 27, 39, 71, 76, 78, 87, 89, 91, 94 ]
[ "(78+(94+(87-(91+27))))", "(94+((71-89)+(91-26)))", "(76-(26-91))", "((26+39)+76)" ]
3,054
141
[ 2, 5, 34, 41, 50, 59, 61, 84, 93 ]
[ "((61+41)+(34+5))", "((2*50)+41)", "((50-2)+93)", "((59-2)+84)" ]
3,055
141
[ 17, 20, 32, 35, 41, 80, 83, 86, 87 ]
[ "(87+(86-32))", "(86+(35+20))", "((41+20)+80)", "(17+(41+83))" ]
3,056
141
[ 8, 10, 40, 47, 56, 60, 84, 91 ]
[ "(56+((40-47)+(8+84)))", "((47+84)+10)", "((91+10)+40)", "((60-10)+91)" ]
3,057
141
[ 1, 7, 24, 34, 48, 51, 52, 67, 94, 98 ]
[ "(67-((1-24)-51))", "((67+98)-24)", "(51/(34/94))", "((7+34)+((52*1)+48))" ]
3,058
141
[ 11, 19, 21, 31, 37, 38, 43, 64, 68, 72, 90, 100 ]
[ "((11+90)-((19-38)-21))", "(38+(31+72))", "(72-(31-100))", "(((43+(100+31))+(68-64))-37)" ]
3,059
141
[ 21, 23, 33, 34, 40, 56, 84, 97 ]
[ "((21+23)+97)", "((97-40)+84)", "((23+84)+34)", "(34+(84+(56-33)))" ]
3,060
141
[ 7, 10, 15, 24, 26, 39, 42, 51, 84, 92 ]
[ "(42+(7+92))", "((51-92)+(26*7))", "(26+((7+24)+84))", "((51+15)+(10+(26+39)))" ]
3,061
141
[ 2, 10, 18, 21, 30, 58, 65, 74, 78, 93 ]
[ "((78-(30-21))+(74-2))", "((93+78)-30)", "(58-(10-93))", "((58+18)+65)" ]
3,062
141
[ 1, 4, 15, 21, 22, 61, 75, 79, 80, 82 ]
[ "(21-((22-(75+82))+15))", "((61+(1+75))+4)", "(61+(1*80))", "(1+(61+79))" ]
3,063
141
[ 6, 18, 38, 44, 49, 54, 69, 91, 98 ]
[ "((98+49)-6)", "((91+44)+6)", "(54+(49+38))", "((18+54)+69)" ]
3,064
141
[ 3, 8, 11, 14, 23, 40, 43, 47, 54, 70, 98 ]
[ "((47/14)*(((3+70)-23)-8))", "(98+(3+40))", "((54+40)+47)", "((40+43)+(11+47))" ]
3,065
141
[ 4, 42, 44, 46, 47, 51, 55, 90, 91 ]
[ "((47+90)+4)", "(4+(46+91))", "(44+(46+51))", "((55+42)+44)" ]
3,066
141
[ 4, 17, 24, 28, 39, 42, 45, 72, 79, 85, 94 ]
[ "(45+(24+72))", "(((39*4)+79)-94)", "(42/(28/94))", "(39+(85+17))" ]
3,067
141
[ 3, 12, 13, 17, 30, 58, 60, 64, 78, 80, 91, 100 ]
[ "((64+100)-((13+12)-(60-58)))", "(58+(3+80))", "(80+(78-17))", "(80-(30-91))" ]
3,068
141
[ 19, 20, 35, 39, 49, 51, 53, 59, 71, 75, 88, 100 ]
[ "(((75+49)-35)+(71-19))", "((53+39)+49)", "(59-(20-(49+53)))", "((88+53)-(100-(51+49)))" ]
3,069
141
[ 16, 26, 27, 29, 41, 53, 62, 63, 73, 85, 89 ]
[ "(53+(62+26))", "((62+16)+63)", "((89+27)+(41-16))", "((((73+85)+53)-41)-29)" ]
3,070
141
[ 2, 25, 36, 37, 38, 57, 60, 63, 77, 80, 98 ]
[ "(57+((80-38)*2))", "((80+98)-37)", "((98+77)-((60+37)-63))", "(25+(80+36))" ]
3,071
141
[ 17, 27, 28, 32, 46, 49, 68, 71, 73, 74, 92 ]
[ "((73+49)-(27-46))", "(((27-28)+74)+68)", "((46+71)-(68-92))", "((32+17)+92)" ]
3,072
141
[ 6, 7, 33, 59, 65, 76, 82, 83, 91, 97 ]
[ "(((33-6)+97)+(82-65))", "(76+(59+6))", "((76-33)+(91+7))", "(65+(83-7))" ]
3,073
141
[ 1, 7, 19, 28, 42, 43, 52, 55, 62, 70, 75, 80, 85, 93 ]
[ "((85-28)+(43+(93-52)))", "((70+52)+19)", "(((19+42)+80)/1)", "((75+80)-((7+62)-55))" ]
3,074
141
[ 3, 4, 13, 14, 31, 34, 36, 37, 44, 66, 74, 75, 84, 96, 97 ]
[ "(((36+44)+75)-14)", "((((96-97)-66)-44)+(3*84))", "((31+97)+13)", "(74+(34-(4-37)))" ]
3,075
141
[ 17, 29, 34, 37, 47, 56, 57, 67, 78, 86, 91, 92, 94 ]
[ "((91-17)+67)", "(94-(47*(56-57)))", "((34+78)+29)", "(86+(92-37))" ]
3,076
142
[ 1, 9, 24, 33, 52, 74, 82, 91, 100 ]
[ "((91+100)+(33-82))", "(33+(100+9))", "(91-(1-52))", "((91+74)-(24-1))" ]
3,077
142
[ 2, 11, 12, 25, 31, 46, 64, 65, 84, 99 ]
[ "(99+(12+31))", "(46+(31+65))", "(11+(2+((84+64)-(65-46))))", "((46+25)*2)" ]
3,078
142
[ 18, 28, 29, 31, 45, 49, 66, 72, 76, 81, 88, 89, 93, 94 ]
[ "((81-(89-88))-(31-93))", "((93+94)-(29-(72-88)))", "(94-(18-66))", "((((49-45)-28)+18)+(76+72))" ]
3,079
142
[ 6, 15, 21, 34, 44, 51, 70, 76, 87 ]
[ "((70+44)+(34-6))", "((87-15)+70)", "(70+(51+21))", "((87-21)+76)" ]
3,080
142
[ 4, 16, 22, 29, 31, 36, 53, 73, 74, 90 ]
[ "(22+((73+31)+16))", "(73+(16+53))", "(((74-73)+29)+(90+22))", "(((22+36)*4)-90)" ]
3,081
142
[ 2, 22, 30, 32, 43, 44, 77, 79, 95 ]
[ "((22+(2*44))+32)", "(95+(79-32))", "(95-(30-77))", "(22+(77+43))" ]
3,082
142
[ 7, 9, 15, 20, 24, 27, 31, 54, 55, 62, 71, 85, 88, 95 ]
[ "(62-((85-55)+(9-(88+31))))", "(7+(9*15))", "(((24+71)+7)-(55-95))", "((54-((7+20)-27))+88)" ]
3,083
142
[ 5, 8, 16, 24, 30, 31, 39, 44, 77, 96, 98 ]
[ "((24/(44/((39+16)*8)))-98)", "((5*30)-8)", "(16+(30+96))", "(39+(77+(31-5)))" ]
3,084
142
[ 6, 7, 30, 54, 58, 77, 82, 91 ]
[ "(58+(30+54))", "((77+58)+7)", "(91+(58-7))", "((82+54)+6)" ]
3,085
142
[ 1, 2, 8, 10, 25, 28, 34, 42, 53, 54, 64, 71 ]
[ "((64-8)+((54+42)-10))", "(((71-64)+54)+(53+28))", "((64+53)+25)", "((71-(1+34))+(2*53))" ]
3,086
142
[ 17, 20, 36, 46, 76, 79, 89, 99 ]
[ "((17+46)+79)", "(79-(36-99))", "(36+(17+89))", "((76+46)+20)" ]
3,087
142
[ 4, 19, 20, 23, 29, 36, 51, 56, 68, 72, 83, 84, 85, 98 ]
[ "((19+((83+72)-(4+84)))+56)", "(19+(68+(23+(83-51))))", "((51+84)+(36-29))", "(((51+(84-98))+85)+20)" ]
3,088
142
[ 15, 19, 22, 25, 32, 46, 57, 66, 83, 91, 97 ]
[ "(((83+25)+66)-32)", "(83-((25+(22-15))-91))", "(19+(57+66))", "((97+91)-46)" ]
3,089
142
[ 1, 35, 37, 49, 58, 77, 84, 91, 95, 99 ]
[ "(((99+77)-35)+1)", "(((91+99)-49)+1)", "((1*84)+58)", "((95-37)+84)" ]
3,090
142
[ 17, 27, 44, 46, 47, 51, 68, 78, 86, 98 ]
[ "(98+(17+27))", "(17+(78+47))", "(47+(51+44))", "((46+(78-68))+86)" ]
3,091
142
[ 12, 14, 20, 30, 36, 37, 71, 94 ]
[ "((94+14)+(71-37))", "((14-12)*71)", "((94+12)+36)", "(20/((12*(30/36))/71))" ]
3,092
142
[ 6, 14, 15, 21, 26, 54, 74, 94 ]
[ "((6*26)-14)", "(54+(74+14))", "((94+54)-6)", "(15+((94-21)+54))" ]
3,093
142
[ 4, 6, 13, 30, 34, 37, 43, 47, 67, 69, 77 ]
[ "((69+30)+43)", "((77+69)-4)", "((4*37)-6)", "((47+((67+43)+6))+(13-34))" ]
3,094
142
[ 3, 5, 19, 20, 49, 63, 65, 79, 82, 88 ]
[ "((19+65)+((88+49)-79))", "((49*3)-5)", "((82+63)-3)", "((20*3)+82)" ]
3,095
142
[ 1, 4, 23, 26, 58, 66, 70, 75, 79, 83, 93 ]
[ "((93+23)+(1*26))", "(66+(75+1))", "(79-(4-(66+1)))", "((75-70)+((83+58)-4))" ]
3,096
142
[ 2, 7, 13, 29, 32, 35, 52, 58, 63, 71, 74, 81, 88, 95 ]
[ "(63-(((7+52)-29)-(74+35)))", "((95-29)+(((81-2)+71)-74))", "(58+(71+13))", "(32+((88+35)-13))" ]
3,097
142
[ 1, 3, 8, 33, 43, 45, 50, 61, 63, 84, 94, 100 ]
[ "((100-33)+((94-(63-43))+1))", "(45+(3+94))", "((61+84)-3)", "((3*50)-8)" ]
3,098
142
[ 5, 6, 8, 11, 28, 34, 38, 48, 50, 62, 72, 80 ]
[ "((34+28)+80)", "(((11*50)/5)-(48-80))", "((((38-28)+6)*5)+62)", "((62+72)+8)" ]
3,099
142
[ 2, 10, 18, 30, 36, 37, 42, 55, 60, 77, 82, 95, 98 ]
[ "((95+10)+37)", "(82+((30+((98+2)-10))-60))", "(77+((82+(36+2))-55))", "(18+(42+82))" ]
3,100
142
[ 12, 14, 31, 36, 58, 64, 68, 69, 70, 72, 75, 79, 86 ]
[ "((31+36)+75)", "(68-((69-64)-79))", "(70+(86-14))", "((72+12)+58)" ]