index
int64
target
int64
available_numbers
list
solutions
list
3,901
179
[ 20, 34, 45, 67, 74, 78, 87, 92, 94 ]
[ "(45+((94+74)-34))", "(78+(67+34))", "(45+(67-(20-87)))", "(67+(92+20))" ]
3,902
179
[ 19, 28, 35, 50, 56, 79, 92, 94, 95 ]
[ "((94+79)+(56-50))", "(50+(56+(92-19)))", "((94+92)-(35-28))", "(56+(95+28))" ]
3,903
179
[ 1, 9, 19, 27, 28, 33, 48, 58, 64, 88, 93 ]
[ "((9+48)+(64+58))", "((88+33)+58)", "(19+(((27+88)+93)-48))", "((93+28)+(1*58))" ]
3,904
179
[ 7, 31, 36, 40, 46, 48, 86, 91, 98, 100 ]
[ "((46+40)+(100-7))", "(91+(48+40))", "((31+100)+48)", "(((36+(40+91))-86)+98)" ]
3,905
179
[ 28, 34, 40, 51, 62, 63, 66, 77, 90 ]
[ "(34+((28+66)+51))", "(62+(66+51))", "(77+((63+90)*(34/51)))", "(77+(62+40))" ]
3,906
179
[ 39, 47, 50, 55, 77, 82, 83, 85, 91 ]
[ "(55+(39+85))", "(77+(47+55))", "(47+(50+82))", "(((91+55)+83)-50)" ]
3,907
179
[ 6, 9, 10, 17, 67, 75, 83, 87, 88, 98 ]
[ "((10+(6*17))+67)", "((6+75)+98)", "(88+(83-(67-75)))", "((9+83)+87)" ]
3,908
179
[ 4, 19, 23, 39, 70, 73, 76, 87, 90 ]
[ "((4*39)+23)", "((39+76)+(87-23))", "(73+(87+19))", "((90+70)+19)" ]
3,909
179
[ 13, 21, 66, 77, 80, 81, 86, 92, 100 ]
[ "(92+(66+21))", "((21+81)+77)", "(92+(100-13))", "((86+80)+13)" ]
3,910
179
[ 5, 9, 22, 26, 34, 45, 47, 49, 50, 55, 89 ]
[ "(((5*45)-55)+9)", "((50-26)+((5*22)+45))", "((5*26)+49)", "((5*34)+((22-47)-(55-89)))" ]
3,911
179
[ 4, 6, 22, 44, 56, 61, 78, 81, 94 ]
[ "((94+4)+81)", "(((44*4)+(81-22))-56)", "(22*(6+(94/44)))", "(((61+44)-4)+78)" ]
3,912
179
[ 5, 11, 12, 22, 38, 39, 47, 52, 65, 69, 86, 88 ]
[ "(((88+(86+5))+47)-(69-22))", "((12*11)+47)", "((38+65)-(12-88))", "(88+(52+39))" ]
3,913
179
[ 1, 37, 45, 46, 51, 77, 82, 83, 97 ]
[ "((((82-77)*1)*45)-46)", "((82+51)+46)", "(51+(45+83))", "(37+(45+97))" ]
3,914
179
[ 6, 18, 47, 64, 68, 69, 74, 90, 93, 97, 99 ]
[ "((90/18)+((64+47)-(6-69)))", "(18+(64+97))", "(93+(18+68))", "(6+(99+74))" ]
3,915
179
[ 1, 25, 26, 44, 50, 63, 72, 75, 89, 91 ]
[ "((63+91)+25)", "((26+75)-(63-(50+91)))", "(91+(89-1))", "((44+63)+72)" ]
3,916
179
[ 3, 7, 25, 39, 41, 44, 58, 68, 83, 89, 96 ]
[ "(39-((41-(3*83))+68))", "((7+83)+89)", "((39+96)+44)", "(96+(25+58))" ]
3,917
179
[ 3, 5, 10, 16, 33, 36, 51, 60, 81, 89, 93, 95 ]
[ "((95+33)+51)", "(((16+(89+36))+33)+5)", "((93+81)+5)", "((81-((10-51)+3))+60)" ]
3,918
179
[ 3, 9, 27, 36, 42, 45, 71, 88, 92, 96 ]
[ "((3*36)+71)", "(((71+92)-27)+(88-45))", "(42+(45+92))", "((96+92)-9)" ]
3,919
179
[ 10, 21, 22, 30, 31, 32, 79, 81, 86, 92, 93, 97 ]
[ "((10*21)-31)", "((81-30)+(31+97))", "(((86+92)-30)+31)", "(((86+79)+32)-((93+22)-97))" ]
3,920
179
[ 1, 2, 4, 16, 30, 50, 62, 69, 80, 81, 83, 99 ]
[ "((((83+1)+(81+16))+2)-4)", "((62*4)-69)", "(99+(1*80))", "((50+99)+30)" ]
3,921
179
[ 5, 24, 28, 37, 46, 50, 64, 77, 78, 91, 97 ]
[ "((37+64)-((50-(5+46))-77))", "(78+(24+77))", "((64+24)+91)", "(((28+97)+91)-37)" ]
3,922
179
[ 7, 9, 30, 34, 37, 44, 55, 66, 90, 98 ]
[ "(((30+90)+66)-7)", "(98-(9-90))", "(34+(55+90))", "((37+98)+44)" ]
3,923
179
[ 21, 24, 25, 34, 49, 56, 68, 74, 76, 84, 94, 96 ]
[ "((56+(68-21))+76)", "(74+(56+49))", "(((84+25)-24)+94)", "(((96+34)+24)+25)" ]
3,924
179
[ 13, 23, 24, 28, 55, 64, 73, 78, 82, 87 ]
[ "((24+82)+73)", "(78+(28+73))", "((28+87)+64)", "((24+(55+(13+23)))+64)" ]
3,925
179
[ 9, 16, 20, 22, 30, 35, 43, 46, 52, 60, 64, 72, 77, 79, 89, 94 ]
[ "((22-(16-94))+79)", "(((52+43)+64)+20)", "((46+9)+(35+89))", "((72+60)+(77-30))" ]
3,926
180
[ 3, 27, 36, 37, 60, 71, 82, 86, 96 ]
[ "(((71+86)-37)+60)", "(27-(60-(3*71)))", "((82+71)+27)", "((96-36)*3)" ]
3,927
180
[ 2, 4, 18, 24, 37, 68, 75, 86, 90, 100 ]
[ "(100+((2+18)*4))", "((86+4)*2)", "((2*((37+68)-24))+18)", "((24/(100-90))*75)" ]
3,928
180
[ 12, 15, 36, 45, 60, 87, 99 ]
[ "(45+(36+99))", "((12+87)+(36+45))", "((36/12)*60)", "(60*(45/15))" ]
3,929
180
[ 12, 28, 56, 58, 66, 81, 90, 92, 100 ]
[ "(12*(81-66))", "((92-12)+100)", "(66+(58+56))", "(56/(28/90))" ]
3,930
180
[ 3, 5, 28, 34, 44, 72, 85, 88, 90 ]
[ "((88-28)*3)", "((88*90)/44)", "(5+(90+85))", "((72/34)*85)" ]
3,931
180
[ 14, 26, 43, 55, 62, 95, 99, 100 ]
[ "(95+(99-14))", "((99+55)+26)", "(99/(55/100))", "(99+(43-(62-100)))" ]
3,932
180
[ 1, 16, 22, 35, 45, 58, 77, 81, 87 ]
[ "(((77/1)+58)+45)", "((87+58)+35)", "((87+77)+16)", "((22+77)+81)" ]
3,933
180
[ 2, 6, 7, 11, 18, 22, 70, 80, 81, 82, 87 ]
[ "(((80-7)*2)-((70-22)-82))", "(((11+81)-(2+80))*18)", "(11+(87+82))", "(6+(2*87))" ]
3,934
180
[ 1, 3, 12, 20, 55, 64, 65, 96, 100 ]
[ "((96+3)/(55/100))", "((65+(55+64))-(1+3))", "(64+(20+96))", "(20*(12-3))" ]
3,935
180
[ 4, 14, 29, 33, 67, 80, 94, 96 ]
[ "(96+(94+(4-14)))", "((80+96)+4)", "(80+(33+(96-29)))", "((67+33)+80)" ]
3,936
180
[ 15, 19, 25, 34, 43, 51, 52, 65, 70, 85, 87, 89 ]
[ "(19+((87+15)+(25+34)))", "(((51+52)+43)+(15+19))", "(85+(((52+89)-65)+19))", "((85+70)+25)" ]
3,937
180
[ 8, 19, 25, 28, 29, 37, 47, 65, 75, 85, 87 ]
[ "((8*19)+28)", "((19+29)+(47+85))", "((75+87)-(29-47))", "((28*25)+(65*(29-37)))" ]
3,938
180
[ 10, 12, 33, 56, 68, 70, 79, 89, 90, 91 ]
[ "((68+33)-(10-89))", "((70-68)*90)", "((79+12)+89)", "(56+(91+33))" ]
3,939
180
[ 4, 5, 27, 35, 47, 53, 55, 87, 98 ]
[ "(87-(5-98))", "(4*(98-53))", "((55+27)+98)", "((98+35)+47)" ]
3,940
180
[ 2, 6, 9, 12, 38, 46, 64, 65, 66, 69, 87 ]
[ "(((87/2)*6)-(69+12))", "(66+(38*(6/2)))", "((38+64)-(9-87))", "((46+65)+69)" ]
3,941
180
[ 1, 2, 12, 17, 31, 39, 42, 43, 52, 74, 81, 89 ]
[ "((52+42)+(74+12))", "((1*52)+(39+89))", "((43+17)+(31+89))", "(52+((81-17)*2))" ]
3,942
180
[ 2, 18, 29, 30, 31, 39, 54, 56, 62, 63, 95, 99 ]
[ "(((99+56)-39)+(2+62))", "((62+((56+30)-31))+63)", "(((63-56)*18)+54)", "((56+95)+29)" ]
3,943
180
[ 21, 27, 44, 45, 46, 62, 71, 73, 91, 97 ]
[ "(62+(97+21))", "((27+62)+91)", "((45+44)+91)", "((71+(45+46))+(91-73))" ]
3,944
180
[ 21, 28, 34, 46, 47, 48, 50, 90, 92, 98, 100 ]
[ "((34+21)+(47+(50+28)))", "(98+(48+34))", "(90*(100-98))", "(92*(90/46))" ]
3,945
180
[ 1, 2, 29, 38, 46, 60, 63, 65, 85, 86, 90, 96 ]
[ "(96+(38+46))", "(((85-46)-38)*((1+2)*60))", "(90+(63-(38-65)))", "((29+65)+86)" ]
3,946
180
[ 15, 22, 24, 25, 54, 72, 75, 76, 79, 80, 94 ]
[ "(80+(25+75))", "((54/24)*80)", "((54+72)-(22-76))", "(79+(94+(22-15)))" ]
3,947
180
[ 4, 13, 15, 27, 33, 43, 51, 68, 70, 86, 88, 91, 100 ]
[ "((33+(91+43))+13)", "((86+15)+(13+(70-4)))", "(100*(27/15))", "((88-27)+(51+68))" ]
3,948
180
[ 3, 6, 10, 35, 51, 53, 69, 92, 94 ]
[ "(10*(3*6))", "(10*(69-51))", "(94+(35+51))", "(53+(92+35))" ]
3,949
180
[ 2, 7, 8, 25, 30, 47, 55, 57, 65, 71, 76, 77, 92, 94 ]
[ "((57+(55-8))+76)", "((55+(92-57))*2)", "(65+(92+(30-7)))", "(25+((77-71)+((8+47)+94)))" ]
3,950
180
[ 4, 10, 19, 23, 25, 29, 35, 45, 52, 58, 59, 64, 67, 73, 77, 78, 86, 96 ]
[ "((96+67)+((77+4)-(29+35)))", "(29+(73+78))", "(73+(58+(64+(10-25))))", "((((86+23)+59)+(45-52))+19)" ]
3,951
181
[ 45, 47, 52, 58, 78, 82, 84, 92, 93 ]
[ "(84+(82+(93-78)))", "((52+45)+84)", "((58+78)+45)", "(((92-47)+78)+58)" ]
3,952
181
[ 12, 21, 25, 31, 68, 70, 78, 84, 88, 97 ]
[ "(((21+84)-12)+88)", "((88+68)+25)", "((70+12)+(31+68))", "((31-25)+(97+78))" ]
3,953
181
[ 1, 2, 15, 23, 24, 26, 45, 72, 83, 85, 90, 93 ]
[ "((93+90)-((2-1)-(23-24)))", "((24+72)+85)", "(((93*45)/15)-(26+72))", "(15+(2*83))" ]
3,954
181
[ 3, 4, 18, 35, 45, 51, 54, 59, 60, 62, 70 ]
[ "((45+70)+((59+3)+4))", "(51+(70+60))", "(60+(59+62))", "(59+((54+51)-(18-35)))" ]
3,955
181
[ 1, 5, 8, 13, 27, 34, 46, 48, 57, 58, 77, 87, 96 ]
[ "((58+27)+96)", "(58+(((5+8)+48)+(96-34)))", "((46+77)+((13+5)/(27/87)))", "((57+77)+(46+1))" ]
3,956
181
[ 10, 24, 38, 48, 49, 73, 74, 83, 88, 94 ]
[ "(73+(94+(48-(24+10))))", "(38+(94+49))", "(83+(24+74))", "(88+(10+83))" ]
3,957
181
[ 15, 20, 35, 36, 45, 60, 61, 75, 76, 100 ]
[ "(61+(100+20))", "(61+(45+75))", "(36+(100+45))", "((((76-15)+60)+(45+35))-20)" ]
3,958
181
[ 32, 41, 50, 54, 59, 72, 77, 90 ]
[ "((90+50)+41)", "(77+(54+50))", "(72+(59+50))", "((90+32)+59)" ]
3,959
181
[ 21, 23, 29, 41, 46, 53, 54, 67, 69, 74, 78, 83, 93 ]
[ "(((46+54)+(83-23))+21)", "((74+53)+54)", "(67+(21+93))", "(((41-29)+67)+((78+93)-69))" ]
3,960
181
[ 13, 28, 35, 45, 48, 64, 77, 78, 80, 88 ]
[ "((35+80)+(48*(88/64)))", "((80-64)+(88+77))", "(48+(88+45))", "((((80+78)-13)+64)-28)" ]
3,961
181
[ 12, 19, 47, 60, 66, 68, 82, 86, 87, 97 ]
[ "(((97+19)+60)-(82-87))", "((87+82)+12)", "(((82+60)-47)+86)", "((68+66)+47)" ]
3,962
181
[ 1, 2, 12, 15, 19, 71, 88, 91, 95 ]
[ "((88-2)+95)", "(71+(15+95))", "(1+(12*15))", "((71+19)+91)" ]
3,963
181
[ 14, 20, 26, 42, 46, 47, 56, 62, 64, 78, 95, 100 ]
[ "((78+56)+47)", "((46+47)+(62+26))", "(100+(95+(64-78)))", "(((78+95)-14)+(42-20))" ]
3,964
181
[ 5, 10, 27, 37, 43, 49, 65, 79, 85, 89 ]
[ "((65+27)+(10+79))", "((79+37)+65)", "((10+49)+(79+(85-(37+5))))", "((49+43)+89)" ]
3,965
181
[ 4, 11, 25, 29, 49, 55, 78, 90, 95, 97 ]
[ "(25-((29-95)-90))", "(95+(97-11))", "(55+(97+(25+4)))", "(55+(97+(78-49)))" ]
3,966
181
[ 3, 6, 22, 25, 34, 68, 69, 75, 79, 91, 92 ]
[ "(92-(((25*6)/75)-91))", "((68+22)+91)", "(34+(68+79))", "(((3+69)+75)+34)" ]
3,967
181
[ 7, 8, 28, 31, 36, 40, 44, 51, 54, 59, 69, 74, 78, 94, 99 ]
[ "(((99+(8-7))+54)+(78-51))", "((36+94)+51)", "(((40-(59-36))+44)+(51+69))", "(31+(28+((40+74)+8)))" ]
3,968
181
[ 23, 32, 33, 36, 46, 55, 58, 69, 70, 79, 81, 95, 97 ]
[ "((97-(58-95))+(79-32))", "((97+36)+(32*(69/46)))", "((46+(55-70))+(81+69))", "(55+((70+23)+33))" ]
3,969
181
[ 12, 21, 30, 35, 41, 53, 57, 70, 76, 94, 96, 98, 100 ]
[ "(100+((12-53)+((98-70)+94)))", "(30+(94+57))", "(((76+94)+41)-30)", "((((30+41)-21)+35)+96)" ]
3,970
181
[ 4, 21, 30, 51, 56, 59, 62, 64, 66, 87, 89, 91 ]
[ "((64+66)+51)", "((64+30)+87)", "(87-(56-(59+91)))", "((89+91)+((62+(4+21))/87))" ]
3,971
181
[ 3, 7, 31, 32, 43, 68, 71, 74, 75, 85 ]
[ "((68+(31-3))+85)", "((71+3)+(75+32))", "((75+32)+74)", "((32*7)-43)" ]
3,972
181
[ 11, 20, 22, 32, 34, 39, 41, 49, 69, 72, 73, 82, 88 ]
[ "((49+(20*11))-88)", "((49-(22-72))+82)", "(((39+34)-72)+(20*(41-32)))", "(73+(69+39))" ]
3,973
181
[ 4, 5, 6, 10, 19, 32, 44, 49, 60, 68, 72, 82, 95, 99, 100 ]
[ "((60-6)-(49-(44*4)))", "((99+100)+((68-82)-4))", "(99+(72+10))", "((5-(4-(72+32)))+(95-19))" ]
3,974
181
[ 15, 33, 38, 43, 45, 52, 59, 72, 76, 82, 84, 92, 95 ]
[ "((95+82)-((43+45)-92))", "(((15+38)+52)+76)", "((59+38)+84)", "(33+(76+72))" ]
3,975
181
[ 10, 15, 17, 22, 26, 28, 29, 35, 36, 37, 42, 63, 66, 72, 80, 84, 85, 90 ]
[ "((63+22)+((10*(90/15))+36))", "((28+85)+(42+26))", "((35+((37+66)-29))+72)", "((17+84)+80)" ]
3,976
182
[ 7, 10, 20, 22, 35, 61, 76, 84, 88 ]
[ "(22+((7+20)+(10+(35+88))))", "(10+(88+84))", "((61-35)*7)", "((22+84)+76)" ]
3,977
182
[ 11, 13, 15, 76, 80, 89, 91, 93 ]
[ "((76+13)+93)", "((91+15)+76)", "(91*(13-11))", "(89+(13+80))" ]
3,978
182
[ 5, 17, 29, 30, 33, 37, 45, 74, 75 ]
[ "(37+(5*29))", "(17+(5*33))", "((75+33)+74)", "((45+74)+(30+33))" ]
3,979
182
[ 15, 28, 31, 38, 42, 52, 57, 60, 67, 68, 70, 89, 90 ]
[ "((90+67)+((38-31)-(42-60)))", "(((28+52)+42)+60)", "(((89+90)+60)-57)", "((70-(38-(15+67)))+68)" ]
3,980
182
[ 12, 15, 20, 68, 71, 94, 99, 100 ]
[ "(94+(100-12))", "((20+94)+68)", "((68+99)+15)", "((71+99)+12)" ]
3,981
182
[ 21, 27, 30, 54, 61, 67, 76, 85, 86 ]
[ "(((86-61)+76)+(54+27))", "((67+54)+61)", "((85+30)+67)", "(85+(76+21))" ]
3,982
182
[ 6, 13, 20, 49, 66, 79, 83, 89, 90, 93, 97 ]
[ "(13+(79+90))", "((20-6)*13)", "((20-66)+(89+(49+90)))", "((83+97)+((6-93)+89))" ]
3,983
182
[ 28, 39, 44, 49, 55, 78, 94, 99 ]
[ "(39+(49+94))", "(99+(39+44))", "((55+99)+28)", "(55+(49+78))" ]
3,984
182
[ 26, 35, 41, 60, 64, 77, 81, 83, 92 ]
[ "((41+60)+81)", "((64+41)+77)", "(64+(83+35))", "((64+26)+92)" ]
3,985
182
[ 1, 2, 3, 6, 38, 47, 59, 91, 97 ]
[ "((6+(59*3))-1)", "((91*2)*1)", "(91-(6-97))", "(97+(38+47))" ]
3,986
182
[ 3, 30, 35, 45, 53, 65, 82, 84, 92 ]
[ "((30*3)+92)", "((65/30)*84)", "(65+(82+35))", "(45+(84+53))" ]
3,987
182
[ 7, 11, 15, 30, 33, 62, 74, 78, 90, 96, 97 ]
[ "((74-15)+(33+90))", "(97+(74+11))", "((30+62)+90)", "(((78-30)+(74-96))*7)" ]
3,988
182
[ 12, 14, 17, 33, 40, 55, 75, 85, 87, 94, 95 ]
[ "((85-(95-17))*(40-14))", "(((94-40)+95)+33)", "(12+(75+95))", "(87+(40+55))" ]
3,989
182
[ 10, 20, 21, 28, 32, 47, 48, 58, 59, 66, 69, 78, 79, 88, 95 ]
[ "((59+58)-(((21-95)+78)-69))", "((79-(28+32))+((95+58)+10))", "((((48+28)+79)+47)-20)", "((88+28)+66)" ]
3,990
182
[ 6, 7, 9, 16, 18, 31, 50, 61, 62, 70, 80, 81, 91, 99 ]
[ "(50+((61+31)+(9/(18/80))))", "(70+(31+81))", "(((16*6)+(7-(70-50)))+99)", "(91*(62/31))" ]
3,991
182
[ 13, 15, 42, 49, 52, 59, 68, 71, 72, 77, 95 ]
[ "(49-((15-77)-71))", "((71+59)+52)", "(95+(72+15))", "((68+13)+(59+42))" ]
3,992
182
[ 25, 26, 34, 46, 50, 55, 60, 93, 97, 98 ]
[ "(34+(50+98))", "(46+(50+(26+60)))", "(((46+98)+93)-55)", "((25+97)+60)" ]
3,993
182
[ 3, 25, 33, 43, 45, 51, 61, 69, 70, 76, 86, 100 ]
[ "((51+86)+(70-25))", "((3*69)-25)", "(61-((45-(100-3))-69))", "(51+(76+((45-33)+43)))" ]
3,994
182
[ 5, 7, 8, 31, 39, 40, 47, 65, 68, 73, 86, 90 ]
[ "(40+(90+(47+5)))", "(((39*5)-73)-(8-68))", "(7*(65-39))", "(86+(31+65))" ]
3,995
182
[ 4, 11, 12, 16, 23, 29, 32, 35, 38, 45, 65, 71, 72, 76, 94 ]
[ "(((94+72)-12)-(16-(76-32)))", "(65-(11-(4*32)))", "((71-29)+(4*35))", "(76+((23+38)+45))" ]
3,996
182
[ 2, 3, 21, 33, 38, 40, 44, 52, 64, 66, 70, 80, 85, 88 ]
[ "((2+(64/((88+40)/3)))*52)", "(44-(((21-38)-33)-88))", "((66/33)*(70+21))", "(80+((38-21)+85))" ]
3,997
182
[ 16, 17, 18, 24, 48, 49, 56, 86, 91, 97, 98 ]
[ "(((49+17)+98)+18)", "(91+((98-56)+49))", "((91*48)/24)", "((86+16)+(97-17))" ]
3,998
182
[ 4, 6, 13, 24, 33, 38, 42, 44, 53, 67, 75, 78, 89, 92, 98 ]
[ "(53+(42-((38-92)-33)))", "((24+(53+75))+(78-(92-44)))", "(92+(67-((4*13)-75)))", "((89+98)+((6+67)-78))" ]
3,999
182
[ 2, 17, 19, 35, 36, 43, 53, 60, 73, 78, 84, 86 ]
[ "(86+(43+53))", "((60+86)+36)", "((78/36)*84)", "((73+(2*36))+(35+(19-17)))" ]
4,000
182
[ 1, 2, 7, 14, 21, 30, 42, 48, 53, 54, 58, 66, 70, 73, 74, 75, 83, 100 ]
[ "(((1+66)+42)+73)", "((70-(2-42))+(58+14))", "(((7+48)-(53-30))+(75*2))", "((100-21)-((54-74)-83))" ]