index
int64
target
int64
available_numbers
list
solutions
list
3,701
171
[ 25, 33, 42, 53, 62, 76, 84, 96 ]
[ "(62+(84+25))", "(33+(62+76))", "(42+(33+96))", "(42+(53+76))" ]
3,702
171
[ 6, 10, 23, 30, 37, 53, 58, 60, 71, 81, 86 ]
[ "(58+(60+53))", "((30-((58-86)*60))/10)", "(((81-6)+10)+86)", "((60*37)-(71+(23*86)))" ]
3,703
171
[ 3, 18, 29, 43, 48, 51, 57, 60, 77, 82, 89, 98 ]
[ "((29+57)-(98-(3*(43+18))))", "(51+(77+43))", "(((51+89)+60)-29)", "(82+(77+(60-48)))" ]
3,704
171
[ 4, 9, 48, 63, 65, 73, 79, 90, 96, 100 ]
[ "(96+(79-4))", "(96+(((63-65)+4)+73))", "(((90+48)+96)-63)", "(((100+(48+79))+9)-65)" ]
3,705
171
[ 6, 17, 42, 44, 45, 69, 77, 88, 89 ]
[ "((89+88)-6)", "(((45+44)+88)-6)", "(69+(6*17))", "(((42+69)+77)-17)" ]
3,706
171
[ 2, 10, 11, 72, 78, 82, 89, 91 ]
[ "((91-2)+82)", "(82+(78+11))", "((11+72)+(10+78))", "(72+(89+10))" ]
3,707
171
[ 3, 4, 6, 14, 16, 21, 39, 46, 51, 57, 66, 69, 78 ]
[ "((46+(66-(16+39)))*3)", "(6+(57+((46-16)+78)))", "((46-(4-51))+78)", "((69+21)+((51+16)+14))" ]
3,708
171
[ 1, 9, 10, 19, 78, 79, 93, 97, 98, 99 ]
[ "((79-99)+(98+93))", "((78/1)+93)", "(19*(1*9))", "((19*10)-(97-78))" ]
3,709
171
[ 4, 25, 29, 40, 46, 53, 70, 72, 95, 99 ]
[ "((4+95)+72)", "((29+70)+72)", "((46+72)+53)", "(((25-(46-99))+40)+53)" ]
3,710
171
[ 3, 8, 17, 19, 26, 30, 38, 58, 72, 83, 90 ]
[ "((((30+8)+3)+72)+58)", "((((3+30)+83)+38)+17)", "((38+17)+(90+26))", "((26-17)*19)" ]
3,711
171
[ 7, 13, 33, 36, 65, 68, 75, 83, 94, 96 ]
[ "(83+((94-13)+7))", "(75+(83+13))", "((7+68)+96)", "(65+(33+(13-(36-96))))" ]
3,712
171
[ 3, 24, 33, 36, 61, 63, 73, 74, 95 ]
[ "((33+24)*3)", "((73+24)+74)", "(95+(73+3))", "((95-((63+36)-61))*3)" ]
3,713
171
[ 16, 32, 42, 44, 46, 62, 65, 75, 76, 77, 90, 98 ]
[ "((((32-65)+(76+46))-16)+98)", "((65-46)+(77+75))", "((77+62)-((16+42)-90))", "((44+62)+65)" ]
3,714
171
[ 2, 3, 12, 26, 28, 38, 39, 41, 48, 53, 60, 75, 88, 89, 92 ]
[ "((12+(28-(75-92)))+(3*38))", "((26+53)+92)", "((60+38)+((26+88)-41))", "((39-48)*(12+(60-(2+89))))" ]
3,715
171
[ 1, 6, 9, 18, 20, 58, 66, 71, 80, 91, 97 ]
[ "(9+((20+(58+66))+18))", "(9+(91+71))", "((80+91)/1)", "((80+97)-6)" ]
3,716
171
[ 8, 15, 37, 38, 44, 50, 52, 65, 73, 75, 83, 94 ]
[ "(((44+37)+52)+38)", "((((75+52)+(8+65))+15)-44)", "((50-(8-73))-(38-94))", "((15+73)+83)" ]
3,717
171
[ 4, 5, 8, 24, 35, 49, 61, 67, 68, 70, 82, 96 ]
[ "(((24+82)+61)+4)", "((8*24)+(49-70))", "((67+96)+8)", "((5+(67+68))+(35-4))" ]
3,718
171
[ 43, 44, 45, 50, 54, 55, 67, 73, 76 ]
[ "((45+50)+76)", "((67+54)+50)", "((54+44)+73)", "((73+55)+43)" ]
3,719
171
[ 1, 18, 39, 45, 49, 55, 74, 77, 79, 91 ]
[ "((74+18)+79)", "((55-49)+(74+91))", "((39+55)+77)", "((1*49)+(77+45))" ]
3,720
171
[ 2, 13, 17, 18, 27, 68, 86, 87, 98, 100 ]
[ "((2-18)+(100+87))", "((100-27)+98)", "((98+86)-13)", "(68+(17+86))" ]
3,721
171
[ 7, 20, 25, 31, 43, 56, 68, 78, 80, 92 ]
[ "(56+((43-20)+92))", "(56+((80+78)-43))", "(25+(78+68))", "(31+(7*20))" ]
3,722
171
[ 5, 10, 34, 41, 44, 45, 47, 52, 55, 62, 65, 81, 84, 87, 100 ]
[ "(((47+100)-81)+((5+55)+45))", "(87+(81+(44-41)))", "((45-10)+(84+52))", "(62+((65+34)+10))" ]
3,723
171
[ 6, 14, 17, 22, 27, 38, 47, 48, 54, 63, 74, 75, 82, 90 ]
[ "(((22+54)+38)-(17-74))", "((22*14)-(90+47))", "(82+(48+(27+14)))", "(27+(63+(75+6)))" ]
3,724
171
[ 3, 4, 22, 35, 36, 39, 47, 48, 53, 56, 63, 69, 72, 75, 77, 85, 92, 100 ]
[ "((92+(((85+48)-36)-53))+35)", "(((48+100)+4)-(56-75))", "(((53+77)+47)-(69-63))", "(((3*35)+39)+(77+(22-72)))" ]
3,725
171
[ 1, 15, 23, 26, 32, 39, 40, 44, 59, 62, 66, 68, 69, 71, 89, 99 ]
[ "((59+89)+23)", "(((89+15)-1)+68)", "(((44+62)+26)+39)", "((69+((66+40)-71))+(99-32))" ]
3,726
172
[ 4, 23, 24, 43, 66, 82, 86, 93, 95 ]
[ "(86*(95-93))", "((86-43)*4)", "(43+(86+(66-23)))", "(66+(82+24))" ]
3,727
172
[ 1, 3, 4, 30, 64, 72, 73, 77, 96 ]
[ "((96+77)-1)", "(77+(64+(30+1)))", "((96+72)+4)", "(3+(96+73))" ]
3,728
172
[ 4, 28, 32, 41, 44, 47, 74, 85, 97, 99 ]
[ "((85/(44+41))+(74+97))", "(97+(28+47))", "(44+(32*4))", "((99+32)+41)" ]
3,729
172
[ 42, 43, 60, 68, 69, 70, 71, 76, 79, 90 ]
[ "(((68+((76+69)-42))+71)-70)", "((60+70)+42)", "((43+69)+60)", "(((71+90)+79)-68)" ]
3,730
172
[ 7, 10, 23, 43, 56, 67, 73, 78, 81, 84, 85 ]
[ "(((78+67)-(85+56))*43)", "(78+(10+84))", "((7+81)+84)", "(84-(73-(7*23)))" ]
3,731
172
[ 4, 5, 18, 45, 52, 53, 54, 62, 100 ]
[ "(5+((53+52)+62))", "((5*45)-53)", "((4+62)+(52+54))", "((100+18)+54)" ]
3,732
172
[ 10, 20, 38, 64, 66, 70, 74, 88, 96 ]
[ "((20+88)+64)", "((70+38)+64)", "((88+74)+10)", "(66+(10+96))" ]
3,733
172
[ 3, 17, 38, 42, 58, 77, 92, 97 ]
[ "((77+3)+92)", "((92-17)+97)", "(42+(92+38))", "(58+(3*38))" ]
3,734
172
[ 13, 33, 48, 55, 60, 79, 80, 99 ]
[ "((80-55)+(48+99))", "((99+13)+60)", "(80+(79+13))", "((79+33)+60)" ]
3,735
172
[ 17, 20, 22, 34, 50, 60, 61, 76, 91, 92, 95 ]
[ "(92+(20+60))", "(17+(95+60))", "(20+(91+61))", "(((91+95)+50)-((22-34)+76))" ]
3,736
172
[ 1, 18, 22, 27, 31, 54, 58, 80, 93, 96 ]
[ "((80+93)-1)", "((96+80)-(31-27))", "((96+58)+18)", "(22+(54+96))" ]
3,737
172
[ 2, 9, 39, 48, 59, 69, 78, 83, 86, 96 ]
[ "((83+39)-(9-59))", "(86/(39/78))", "(86*(96/48))", "(((9+69)-2)+96)" ]
3,738
172
[ 13, 19, 46, 49, 64, 73, 79, 89, 90, 92 ]
[ "((49+46)-(13-90))", "(79-((89-90)-92))", "((92+89)+(64-73))", "(19+(89+64))" ]
3,739
172
[ 2, 8, 15, 19, 27, 35, 64, 70, 71, 83 ]
[ "((83+70)+19)", "((27+83)+(70-8))", "((83+(2+15))+(64+8))", "((71+15)*(70/35))" ]
3,740
172
[ 2, 7, 22, 25, 36, 42, 63, 67, 76, 80, 91, 92, 94 ]
[ "(((42+92)+(67-7))-22)", "((42+94)+36)", "(67-(((36-76)*2)-25))", "(((22-25)+(67-(63-80)))+91)" ]
3,741
172
[ 8, 25, 50, 51, 52, 55, 64, 67, 97, 100 ]
[ "(8+(97+67))", "(97+(25+50))", "((100-25)+97)", "((55-(100-64))+((51+52)+50))" ]
3,742
172
[ 3, 16, 18, 19, 69, 75, 83, 84, 85, 88, 100 ]
[ "((19+3)-(18-(83+85)))", "(69+(19+84))", "((75+100)-3)", "(88+(100-16))" ]
3,743
172
[ 1, 10, 15, 37, 41, 54, 56, 57, 59, 72, 81 ]
[ "((59+72)+41)", "(59+(56+57))", "(1*((15+56)+((54-10)+57)))", "(37+(54+81))" ]
3,744
172
[ 6, 12, 14, 31, 36, 37, 62, 96, 98, 99, 100 ]
[ "((12*(37-31))+100)", "((6*37)-(36+14))", "((99-(31-6))+98)", "((96+62)+14)" ]
3,745
172
[ 2, 4, 22, 37, 40, 71, 74, 79, 86, 91, 94 ]
[ "((94+2)+(37+(79-40)))", "((4+74)+94)", "(79+(22+71))", "(((22+71)-91)*86)" ]
3,746
172
[ 11, 14, 23, 27, 38, 39, 58, 71, 75, 86, 92, 94 ]
[ "((92+23)+(71-14))", "((94+75)-(11-14))", "((39+58)+75)", "((38-27)+(86+75))" ]
3,747
172
[ 3, 5, 14, 16, 22, 34, 45, 56, 59, 65, 82, 87, 100 ]
[ "(82-((22-(45+14))+(34-87)))", "((34+100)+(16+22))", "((87+(56-5))+34)", "(((65+3)+59)+45)" ]
3,748
172
[ 3, 22, 30, 32, 33, 35, 37, 44, 54, 61, 67, 78, 86, 99 ]
[ "(67+(37+(35+33)))", "((32-(99-67))+(44*(86/22)))", "((32+86)+54)", "(61+((30+78)+3))" ]
3,749
172
[ 2, 7, 15, 16, 17, 21, 23, 24, 25, 26, 41, 49, 55, 93, 96 ]
[ "((23+25)-(93/(24/(17-49))))", "((93+(15*7))-26)", "((49+(41+96))-(16-2))", "((55+96)+21)" ]
3,750
172
[ 4, 6, 18, 30, 39, 42, 43, 45, 69, 77, 79, 88, 91 ]
[ "(((39-77)+42)*43)", "((45+91)+(42-6))", "((((88-42)-18)*6)+4)", "(69+((79-6)+30))" ]
3,751
173
[ 2, 3, 7, 11, 43, 47, 60, 71, 80, 89, 90 ]
[ "(((43+11)-2)+((71+3)+47))", "((60-43)+((71+7)*2))", "(80-((43-89)-47))", "((3+80)+90)" ]
3,752
173
[ 1, 2, 44, 52, 63, 66, 77, 85, 96 ]
[ "(77-((52-85)-63))", "((44+66)+63)", "((1*(2*44))+85)", "((96+77)*1)" ]
3,753
173
[ 16, 33, 41, 47, 50, 58, 59, 67, 98, 99 ]
[ "(59+(16+98))", "(58+(99+16))", "(((50+16)+41)-(33-99))", "(47+(67+59))" ]
3,754
173
[ 12, 14, 26, 58, 62, 68, 70, 74, 85, 87 ]
[ "(((87*70)/58)+68)", "((12+74)+87)", "(85+(14+74))", "(62+(26+85))" ]
3,755
173
[ 9, 22, 24, 30, 39, 52, 54, 80, 97 ]
[ "((97+22)+54)", "((39+80)+54)", "((52+24)+97)", "((9*30)-97)" ]
3,756
173
[ 4, 5, 15, 44, 53, 56, 73, 74, 83, 84, 88, 92, 94 ]
[ "(73+((15+44)+(94-53)))", "((83-(53+(15-84)))+74)", "((92+56)-(44+(4+(15-88))))", "((5*53)-92)" ]
3,757
173
[ 5, 12, 15, 42, 43, 50, 58, 72, 89, 91 ]
[ "(58+(72+43))", "((43*5)-42)", "((50+42)+(91-(15-5)))", "((12+72)+89)" ]
3,758
173
[ 4, 19, 34, 40, 42, 46, 66, 67, 87 ]
[ "((40+34)+((66*(67-4))/42))", "(66+(67+40))", "((40+87)+46)", "((67+87)+19)" ]
3,759
173
[ 17, 25, 27, 37, 46, 48, 59, 79, 88, 90 ]
[ "((25+27)+((59-17)+79))", "(79+(48+46))", "(37+(88+48))", "((90+46)+37)" ]
3,760
173
[ 20, 23, 33, 40, 62, 72, 75, 78, 80 ]
[ "(78+(72+23))", "((62+33)+78)", "((75+20)+78)", "(20+(40+(80+33)))" ]
3,761
173
[ 1, 28, 30, 47, 66, 67, 76, 88, 94, 96 ]
[ "((1*(66+(47-28)))+88)", "((47+96)+30)", "(67+(76+30))", "((67+94)-(76-88))" ]
3,762
173
[ 13, 14, 17, 30, 36, 37, 38, 41, 66, 74, 81, 91, 92 ]
[ "((91+92)+(81-(74+17)))", "((38+(91-30))+74)", "((92-(37+(14-41)))+91)", "(((13+(41+17))+36)+66)" ]
3,763
173
[ 4, 11, 13, 31, 33, 37, 38, 47, 69, 73, 84, 98 ]
[ "((98+(37*4))-73)", "((73+31)+69)", "((73-13)+(((33+11)+38)+31))", "(31+(11+(47+84)))" ]
3,764
173
[ 5, 24, 27, 29, 35, 42, 43, 47, 51, 93, 95 ]
[ "((93-42)+(27+95))", "(93+(29+51))", "((35+43)+95)", "((5*47)+(24-(51+35)))" ]
3,765
173
[ 12, 36, 51, 54, 68, 69, 75, 83, 86 ]
[ "((83-(36-75))+51)", "((12+75)+86)", "(54+((69-36)+86))", "(68+(36+69))" ]
3,766
173
[ 35, 40, 48, 57, 64, 65, 75, 81, 82, 85 ]
[ "(81-(75-(82+85)))", "((57+64)-((40-(82-65))-75))", "((81+57)+35)", "(40+(48+85))" ]
3,767
173
[ 2, 4, 17, 21, 37, 54, 76, 82, 93 ]
[ "((76-(17-21))+93)", "(93+(76+4))", "((93-2)+82)", "((54+37)+82)" ]
3,768
173
[ 4, 8, 13, 19, 68, 71, 74, 90, 92, 99 ]
[ "(90+((8+4)+71))", "((68*4)-99)", "((13+68)+92)", "((19*13)-74)" ]
3,769
173
[ 6, 15, 19, 26, 30, 45, 49, 55, 58, 60, 62, 80, 98 ]
[ "(45-((62-80)-(55*(30/15))))", "((62+98)+(19-6))", "((26+98)+49)", "(60+((58+49)+6))" ]
3,770
173
[ 4, 18, 25, 29, 32, 34, 57, 59, 64, 68, 73, 82, 91 ]
[ "((59+32)+82)", "(57+(29-(4-91)))", "((57+(73+68))-25)", "((64+(57+18))+34)" ]
3,771
173
[ 8, 14, 42, 43, 54, 65, 66, 73, 89, 90, 96, 97, 98 ]
[ "(((65-42)+96)+54)", "((43-8)+(73+65))", "((66-65)*(90+(97-14)))", "(98-(14-89))" ]
3,772
173
[ 12, 23, 28, 38, 40, 52, 53, 55, 67, 69, 90, 94, 98 ]
[ "(52+(23+98))", "((40+53)+(52+28))", "(40+(55-(12-90)))", "(38+((94-69)+((55-12)+67)))" ]
3,773
173
[ 2, 20, 33, 37, 39, 60, 63, 64, 69, 86, 89, 94, 97 ]
[ "(64+(89+20))", "((86+(60+64))-37)", "((((94+63)-(33-86))-97)+60)", "((69+63)+(39+2))" ]
3,774
173
[ 1, 31, 44, 47, 48, 51, 55, 61, 78, 81, 87, 89 ]
[ "(48+(81+44))", "((81+61)+31)", "((78+48)+47)", "((((89-55)+51)+87)+1)" ]
3,775
173
[ 1, 5, 12, 18, 22, 24, 26, 27, 38, 50, 53, 56, 65, 72, 85 ]
[ "((5*18)+(27+56))", "((22+(72+26))+53)", "((72+(24/1))+(65+12))", "(38+(50+85))" ]
3,776
174
[ 5, 13, 15, 29, 36, 37, 40, 57, 94, 97, 100 ]
[ "((5+97)-(15+(13-100)))", "((97+40)+37)", "((57+37)+(15+(36+29)))", "((100-94)*29)" ]
3,777
174
[ 1, 12, 27, 51, 58, 59, 77, 89, 96 ]
[ "(27+(96+51))", "((59-(51-96))+(12+58))", "((59+27)-(1-89))", "((77+96)+1)" ]
3,778
174
[ 3, 21, 38, 44, 61, 69, 75, 78, 92 ]
[ "(21+(61+92))", "((21+78)+75)", "(78-((3-61)-38))", "((61+44)+69)" ]
3,779
174
[ 36, 43, 49, 51, 55, 70, 80, 82, 87 ]
[ "(51+(80+43))", "((51+87)+36)", "(82+(49+43))", "((70+55)+49)" ]
3,780
174
[ 16, 27, 40, 42, 44, 45, 62, 75, 88, 91 ]
[ "(27-((16-75)-88))", "(16+((27+40)+91))", "(62+(27+(40+45)))", "((88+42)+44)" ]
3,781
174
[ 2, 7, 10, 14, 15, 28, 33, 85, 91 ]
[ "(((14*33)/2)+(28-85))", "(85-(2-91))", "((85-2)+91)", "(((7*10)+(91+28))-15)" ]
3,782
174
[ 15, 39, 43, 44, 59, 64, 66, 69, 71 ]
[ "(59+(71+44))", "(39+(71+64))", "(59+(64-(15-66)))", "((43+15)*(69-66))" ]
3,783
174
[ 6, 41, 50, 56, 68, 77, 83, 97, 98 ]
[ "((50+83)+41)", "(68+(50+56))", "((41+56)+77)", "(((50+(6-77))+97)+98)" ]
3,784
174
[ 11, 24, 29, 48, 61, 66, 78, 79, 84, 96 ]
[ "((24+96)+(84+(48-78)))", "((84+11)+79)", "(61+(29+84))", "(66*(29/11))" ]
3,785
174
[ 3, 16, 18, 33, 51, 53, 57, 69, 71, 85, 87, 100 ]
[ "((87+(57-3))+33)", "((51+(33+3))+(71+16))", "((33+(100+53))+(57-69))", "((18+71)+85)" ]
3,786
174
[ 1, 5, 11, 12, 18, 22, 34, 36, 54, 60, 68, 76, 93 ]
[ "(((12+34)+(68+60))/1)", "((76-18)+((60+22)+34))", "((54-34)-(11*(22-36)))", "((5+76)+93)" ]
3,787
174
[ 6, 9, 29, 38, 58, 67, 69, 98 ]
[ "(67+(69+38))", "((67+98)+9)", "((38-9)*6)", "((58-29)*6)" ]
3,788
174
[ 1, 2, 43, 51, 72, 78, 83, 88, 94, 95 ]
[ "((78+1)+95)", "((51*2)+(72*1))", "(((83-2)-1)+94)", "((2*43)+88)" ]
3,789
174
[ 8, 12, 14, 35, 40, 53, 70, 83, 86, 88, 98, 100 ]
[ "(100-((8-70)-12))", "((88+98)-12)", "((14*88)-(8-(35*(53-83))))", "((83+40)-(35-86))" ]
3,790
174
[ 21, 35, 42, 55, 56, 59, 77, 95, 97 ]
[ "((97+42)+35)", "(55+(42+77))", "((55+(95-35))+59)", "(21+(97+56))" ]
3,791
174
[ 15, 25, 27, 61, 73, 74, 76, 85, 98 ]
[ "((25+73)+76)", "(73+(27+74))", "(15+(85+74))", "(61+(98+15))" ]
3,792
174
[ 6, 15, 22, 29, 44, 45, 49, 58, 75, 87, 90 ]
[ "((6+44)+(75+49))", "((22*6)-(45-(29+58)))", "(58*(45/15))", "((90/45)*87)" ]
3,793
174
[ 35, 37, 39, 41, 56, 61, 66, 67, 79, 81 ]
[ "((61-(35-81))+67)", "(81+(37+56))", "((56+79)+39)", "(66+(41+67))" ]
3,794
174
[ 1, 17, 19, 42, 51, 52, 57, 60, 63, 65, 69, 98 ]
[ "(60-(((17-65)+42)*19))", "((42-17)+(98+51))", "((42+63)+69)", "((52+(57*1))+65)" ]
3,795
174
[ 2, 7, 12, 16, 17, 25, 30, 57, 64, 66, 70, 96, 97 ]
[ "((((64+96)+57)-12)+(66-97))", "(30+((96+66)+(7-25)))", "(7+(97+70))", "((66+(7-2))+(16+(70+17)))" ]
3,796
174
[ 5, 18, 45, 52, 53, 64, 68, 89, 90, 92, 95 ]
[ "(((5+92)+95)-18)", "(90-(5-89))", "(((53*90)/45)+68)", "((53+52)+(64+5))" ]
3,797
174
[ 4, 14, 24, 26, 28, 48, 62, 64, 77, 85, 87 ]
[ "(87+(14+(77-4)))", "(62+(4*28))", "(64+(48+62))", "((85+(26+87))-24)" ]
3,798
174
[ 4, 13, 28, 34, 40, 52, 54, 56, 71, 72, 85, 86 ]
[ "(((85+52)+71)-34)", "(34+((28+72)+40))", "(((52-4)+54)+72)", "((((85-56)-13)+72)+86)" ]
3,799
174
[ 4, 8, 11, 21, 26, 35, 38, 39, 45, 59, 66, 72, 74, 80, 82, 99 ]
[ "(82+(66+26))", "(((4+35)-(99-66))*(21+8))", "((74+(80+(38+(45-59))))-4)", "(((74+39)+72)-11)" ]
3,800
174
[ 7, 13, 16, 24, 37, 42, 44, 46, 54, 55, 70, 73, 83, 85, 86 ]
[ "((46+73)+55)", "(54+(37+83))", "(86+(16+(85-13)))", "((70+(24-7))*(44-42))" ]