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