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