index
int64
target
int64
available_numbers
list
solutions
list
2,601
122
[ 1, 10, 35, 36, 47, 61, 76, 85, 97 ]
[ "((61/1)-(36-97))", "(85+(36+1))", "(76-(1-47))", "(((10+76)+1)+35)" ]
2,602
122
[ 12, 30, 35, 60, 61, 75, 76, 92, 93 ]
[ "(75-((76-30)-93))", "((75+35)+12)", "((92+60)-30)", "(60*(61/30))" ]
2,603
122
[ 8, 20, 21, 23, 36, 81, 89, 91, 94 ]
[ "((20+21)+81)", "((94+8)+20)", "(23+(8+91))", "(91+((89+36)-94))" ]
2,604
122
[ 1, 27, 35, 42, 45, 50, 54, 73, 91 ]
[ "((91-((54*1)-35))+50)", "(45+(35+42))", "((91-42)+73)", "((45+27)+50)" ]
2,605
122
[ 11, 13, 25, 28, 30, 38, 44, 53, 58, 66 ]
[ "((38+30)+(58-(44/11)))", "((11+58)+53)", "(66+(11-(13-58)))", "(11+(28+(25+58)))" ]
2,606
122
[ 3, 6, 25, 47, 54, 69, 70, 78, 93 ]
[ "(47-(3-78))", "((6+47)+69)", "((54*(3/6))+(70+25))", "(54-(25-93))" ]
2,607
122
[ 15, 16, 17, 19, 30, 38, 48, 59, 65, 91 ]
[ "(15+(59+48))", "((30-(59-65))+(38+48))", "(((16-15)+91)+30)", "((17+38)+(48+19))" ]
2,608
122
[ 4, 10, 14, 25, 26, 63, 77, 82, 83, 87 ]
[ "((77+63)-(4+14))", "((14+26)+82)", "((25+14)+83)", "((25+10)+87)" ]
2,609
122
[ 1, 2, 23, 24, 32, 63, 65, 80, 81 ]
[ "((24-(63-81))+80)", "((65-24)+81)", "((65+(1+24))+32)", "(63-((23-80)-2))" ]
2,610
122
[ 6, 10, 11, 26, 37, 39, 48, 55, 70, 74, 79, 83 ]
[ "((((10+37)-6)+26)+55)", "(74+(11+37))", "((48*(83+39))/(11+37))", "(48+(83+(70-79)))" ]
2,611
122
[ 9, 13, 24, 29, 31, 44, 46, 47, 70, 82, 89 ]
[ "(((46-47)+(82+70))-29)", "(44+(47+31))", "(89-(13-46))", "((9+89)+24)" ]
2,612
122
[ 8, 22, 28, 47, 77, 79, 86, 92, 93 ]
[ "((79-28)-(22-93))", "(8+(86+28))", "(8+(92+22))", "((92-47)+77)" ]
2,613
122
[ 7, 34, 40, 43, 47, 52, 55, 65, 66, 100 ]
[ "(((100+7)+55)-40)", "(100-(43-65))", "(65-(52-(43+66)))", "(66-(34-(43+47)))" ]
2,614
122
[ 29, 34, 36, 41, 52, 63, 66, 70, 79, 88, 97 ]
[ "((((79+29)+36)-88)+66)", "((97+88)-63)", "((34+36)+52)", "((41+70)-(52-63))" ]
2,615
122
[ 5, 10, 12, 24, 30, 40, 58, 68, 70, 87 ]
[ "((30+(10+87))-5)", "(30+(24+68))", "((24+40)+58)", "((70+12)+40)" ]
2,616
122
[ 6, 13, 18, 19, 32, 34, 44, 45, 50, 59, 88, 90 ]
[ "((50-44)/(6/(88+34)))", "(59+(50+13))", "((90+(13-19))+(6+32))", "((45+59)+18)" ]
2,617
122
[ 9, 16, 33, 37, 44, 47, 56, 57, 67, 68, 71, 86 ]
[ "(57+(44+(37-16)))", "(67-(16-71))", "(((16+68)+47)-9)", "(((86-44)-9)+(33+56))" ]
2,618
122
[ 16, 18, 25, 37, 38, 42, 48, 49, 58, 72, 99 ]
[ "((72-25)+(37+38))", "((42+72)-(48/(18+(25-49))))", "(99+(48-25))", "((16/(18/72))+58)" ]
2,619
122
[ 3, 5, 17, 24, 38, 42, 45, 58, 60, 81, 86 ]
[ "(86+(60-24))", "(((45-17)-(5-42))+(60-3))", "(38+(81+3))", "((58+81)-17)" ]
2,620
122
[ 9, 15, 18, 21, 31, 58, 85, 95 ]
[ "(58-(21-85))", "((58-31)+95)", "(((15+58)+31)+18)", "((9+18)+95)" ]
2,621
122
[ 2, 14, 48, 55, 69, 76, 81, 88, 96 ]
[ "(14+((88+96)-76))", "(76+(48-2))", "((69-2)+55)", "(96-(55-81))" ]
2,622
122
[ 3, 23, 36, 39, 43, 54, 56, 57, 59, 83, 87, 93, 100 ]
[ "((57-54)*((39+83)/3))", "((56+36)+(87-57))", "(23+(56+43))", "((59+56)+(100-93))" ]
2,623
122
[ 7, 14, 16, 29, 32, 41, 43, 45, 65, 69, 71, 77, 81, 88 ]
[ "((69+(71+14))-32)", "(((45-43)*69)-16)", "((29+(65+69))-41)", "(((88*45)/(7+81))+77)" ]
2,624
122
[ 7, 11, 15, 20, 26, 27, 28, 31, 36, 45, 59, 64, 66, 78, 81, 92 ]
[ "(27+(11+(64+20)))", "(66+(((81-20)-92)+(28+59)))", "(26+(81+15))", "(((7+36)+(31+81))+(45-78))" ]
2,625
122
[ 2, 6, 9, 17, 31, 33, 46, 50, 60, 65, 73, 78, 79, 95, 98, 100 ]
[ "(50+((98+46)/2))", "((31+100)-9)", "((33+95)-6)", "((73+79)+((17+78)-(60+65)))" ]
2,626
123
[ 4, 13, 25, 27, 31, 42, 67, 68, 69 ]
[ "((27+31)+(69-4))", "(((68-27)+69)+13)", "(67-(13-69))", "((69-13)+(42+25))" ]
2,627
123
[ 1, 15, 37, 44, 53, 56, 82, 85, 100 ]
[ "((37-((82-15)-53))+100)", "((82-15)+56)", "(1+(37+85))", "((82+85)-44)" ]
2,628
123
[ 33, 34, 48, 67, 71, 73, 83, 98, 100 ]
[ "((100+(71+83))-(98+33))", "((98+73)-48)", "(98-(48-73))", "(((34-67)+83)+73)" ]
2,629
123
[ 21, 24, 37, 38, 62, 63, 76, 82, 86 ]
[ "(82+(62-21))", "((62+37)+24)", "((76-37)+(63+21))", "(62-((63-38)-86))" ]
2,630
123
[ 15, 17, 24, 29, 38, 58, 63, 67, 89, 90, 91 ]
[ "(15+(17+(29+(38+24))))", "(89-(24-58))", "((90+91)-58)", "((67+(90-63))+29)" ]
2,631
123
[ 5, 13, 40, 51, 67, 80, 83, 88, 96 ]
[ "(67+(51+5))", "(40-(5-88))", "(96+(40-13))", "((80+83)-40)" ]
2,632
123
[ 20, 21, 22, 31, 40, 41, 49, 52, 81, 93, 100 ]
[ "((((93/31)*21)-40)+100)", "(52+(93-22))", "(81+(22+20))", "((52-49)*41)" ]
2,633
123
[ 11, 13, 44, 45, 52, 58, 70, 85, 89, 90, 96 ]
[ "((90+(70+96))-(44+89))", "(((52-11)+44)+(96-58))", "((89+45)-11)", "((13+(70+85))-45)" ]
2,634
123
[ 3, 30, 32, 50, 59, 79, 88, 94 ]
[ "((32-3)+94)", "((3+88)+32)", "((59-30)+94)", "((94-50)+79)" ]
2,635
123
[ 2, 33, 36, 44, 65, 75, 85, 91, 92 ]
[ "((75+92)-44)", "(33-(2-92))", "(91+(65-33))", "((2+36)+85)" ]
2,636
123
[ 6, 13, 21, 23, 27, 33, 38, 48, 51, 75, 77 ]
[ "(33+((75+21)/(48/(51-6))))", "(21+(75+27))", "((21+(77-23))+48)", "(21+(77-(13-38)))" ]
2,637
123
[ 1, 10, 11, 18, 23, 28, 34, 57, 74, 76, 84, 87 ]
[ "((28+84)+11)", "(11+((1*10)+(84+18)))", "(76-(10-57))", "(74-((23-18)-(87+(1-34))))" ]
2,638
123
[ 7, 17, 19, 30, 42, 72, 74, 87, 100 ]
[ "(74+(19+30))", "((74+7)+42)", "(100-(7-30))", "((72-17)+(87-19))" ]
2,639
123
[ 11, 18, 33, 37, 56, 72, 79, 81, 98 ]
[ "((11+33)+79)", "((81-37)+79)", "((98-56)+81)", "(72+(18+33))" ]
2,640
123
[ 1, 15, 25, 27, 55, 56, 64, 68, 86, 90, 91, 94, 100 ]
[ "(((25+68)-64)+94)", "(55+(1*68))", "((1*100)+((90-94)+27))", "(91+((86-(94+1))-(15-56)))" ]
2,641
123
[ 24, 25, 26, 35, 38, 39, 40, 47, 50, 52, 60, 77, 83, 92 ]
[ "(((25-38)+(83+52))-(39-40))", "(50+(35+38))", "((35+60)-((25-77)+24))", "((92-(47-(83-39)))-(26-60))" ]
2,642
123
[ 4, 8, 23, 34, 37, 61, 74, 85, 91, 96, 97 ]
[ "((97+74)+(37-85))", "((85+61)-23)", "(23+(4+96))", "((91-(8/4))+34)" ]
2,643
123
[ 3, 14, 16, 35, 40, 41, 47, 68, 72, 90 ]
[ "((47-14)+90)", "((41+14)+68)", "(((72+14)+40)-3)", "((35+16)+72)" ]
2,644
123
[ 6, 9, 23, 37, 41, 43, 63, 68, 69, 73, 79, 80, 89 ]
[ "((((23+79)-68)+80)+9)", "(63-(9-69))", "(89+(6+(37-9)))", "(73-(((43+37)-89)-41))" ]
2,645
123
[ 1, 8, 9, 29, 32, 55, 59, 60, 62, 66, 92 ]
[ "((55+8)+60)", "((60+92)-29)", "((92+59)+(29+(9-66)))", "(92+((1+62)-32))" ]
2,646
123
[ 1, 5, 12, 29, 36, 57, 64, 65, 71, 80, 89, 93, 99 ]
[ "((5+(1*65))+(89-36))", "((36+99)-12)", "((93+71)-(29+12))", "((80-(57-64))+36)" ]
2,647
123
[ 8, 10, 17, 30, 46, 67, 75, 77, 79, 94 ]
[ "((94-75)+((79+17)+8))", "((94-17)+46)", "(67+(46+10))", "(((10*17)+30)-77)" ]
2,648
123
[ 2, 13, 20, 22, 38, 39, 49, 59, 61, 62, 93, 100 ]
[ "((61+38)+(22+2))", "(((2*93)/62)+(59+61))", "(20+((2+39)+62))", "((49+(100+13))-39)" ]
2,649
123
[ 21, 33, 43, 47, 49, 58, 60, 82, 86, 87, 90, 97 ]
[ "((60-(33-49))+47)", "(86+(58-21))", "((87/58)*82)", "(90+((43+87)-97))" ]
2,650
123
[ 6, 11, 12, 15, 16, 22, 30, 35, 43, 44, 54, 56, 64, 66, 75, 78, 83 ]
[ "(78-(44-(54+35)))", "(56+(83-16))", "(43-(22-((6+66)+30)))", "((11-15)+(75-(12-64)))" ]
2,651
124
[ 2, 3, 8, 28, 35, 48, 61, 71, 79, 99 ]
[ "(((35+8)+79)+2)", "((35+61)+28)", "(99-(3-28))", "((71+(99-48))+2)" ]
2,652
124
[ 12, 14, 33, 38, 39, 48, 60, 64, 80, 82, 92 ]
[ "(64+(12+48))", "((92+80)-48)", "(((82+14)+(48-80))+60)", "((38-33)-((12-39)-92))" ]
2,653
124
[ 1, 9, 35, 44, 57, 63, 67, 68, 80, 88 ]
[ "((63+(1*(9+44)))+(88-80))", "((1+88)+35)", "((68-1)+57)", "((57*1)+67)" ]
2,654
124
[ 1, 32, 45, 62, 69, 72, 87, 90, 92 ]
[ "((92-90)*62)", "((90/(45/62))/1)", "(32+(((72+62)-87)+45))", "(69-(32-87))" ]
2,655
124
[ 1, 22, 27, 29, 36, 43, 59, 67, 100 ]
[ "(29+(36+59))", "(22+(59+43))", "((100-43)+67)", "(((1+67)+29)+27)" ]
2,656
124
[ 13, 16, 22, 52, 53, 56, 85, 87, 93 ]
[ "((93-22)+53)", "(87-(56-93))", "(56+(52+16))", "(52-(13-85))" ]
2,657
124
[ 12, 14, 21, 31, 41, 62, 79, 81, 86 ]
[ "(62+(41+21))", "((86+79)-41)", "(14+(79+31))", "((81+31)+12)" ]
2,658
124
[ 8, 30, 31, 32, 37, 40, 44, 49, 51, 79, 88 ]
[ "((((37+(40+30))+88)-79)+8)", "(32*(31/8))", "((31*44)/(51-40))", "(44+(31+49))" ]
2,659
124
[ 3, 23, 31, 46, 55, 62, 72, 100 ]
[ "((46+23)+55)", "((46*62)/23)", "(100-(31-55))", "((72-3)+55)" ]
2,660
124
[ 2, 5, 20, 22, 24, 36, 58, 69, 79, 90 ]
[ "((2+(20-(24-36)))+90)", "((58-2)-(22-90))", "((69+58)+(2-5))", "((79-24)+69)" ]
2,661
124
[ 8, 17, 29, 32, 37, 44, 46, 54, 65, 66, 76, 80, 98 ]
[ "(((32+44)+37)-(54-65))", "((29+(76-98))+(65+(44+8)))", "(((32+29)+17)+46)", "(66+(80+(76-98)))" ]
2,662
124
[ 13, 17, 19, 49, 51, 79, 83, 92, 94 ]
[ "(79-(49-94))", "(13+(94+17))", "((92+13)+19)", "(92-(51-83))" ]
2,663
124
[ 19, 22, 25, 27, 31, 50, 52, 71, 74, 75, 89, 99 ]
[ "((31+71)+22)", "(71-((27+19)-99))", "(((31+(52+89))-(50-27))-25)", "(75-(25-74))" ]
2,664
124
[ 4, 6, 11, 13, 26, 35, 44, 57, 73, 76, 83, 100 ]
[ "(((100/4)+73)+26)", "(73+(57-6))", "((6+35)+83)", "((76+13)-((4-6)-(44-11)))" ]
2,665
124
[ 1, 3, 24, 36, 50, 52, 75, 85, 97 ]
[ "((36+85)+3)", "((24+3)+97)", "(52+(75-3))", "(50-(1-75))" ]
2,666
124
[ 7, 25, 41, 58, 79, 84, 87, 98, 99, 100 ]
[ "(99-(100-(41+84)))", "(84-(58-98))", "(79+((87+58)-100))", "(58+(98-(7+25)))" ]
2,667
124
[ 7, 19, 27, 28, 51, 66, 69, 74, 81, 84, 90 ]
[ "((28+(19-7))+84)", "(27+(7+90))", "(69+(74-19))", "((81-74)+(66+51))" ]
2,668
124
[ 4, 5, 17, 20, 34, 46, 60, 72, 85, 90, 92, 96, 100 ]
[ "(100+(5*(96/20)))", "((90+(46+85))-(72+(20+5)))", "((20+92)+(46-34))", "(72+((4+5)-(17-60)))" ]
2,669
124
[ 2, 12, 26, 31, 34, 36, 44, 54, 65, 75, 77, 83 ]
[ "((12-54)+(83*2))", "(((65-36)+44)-((34-2)-83))", "(26+(65+(2+31)))", "(((75+77)-2)-26)" ]
2,670
124
[ 3, 5, 7, 8, 13, 20, 42, 77, 81, 89, 95 ]
[ "((81+5)+(3-(7-42)))", "(42-(13-95))", "(20+(8*13))", "(89+(77-42))" ]
2,671
124
[ 1, 2, 14, 20, 39, 42, 53, 59, 65, 80, 97 ]
[ "(53+(((20-2)+39)+14))", "(80+(97-53))", "((97+65)+(42-80))", "((1*59)+65)" ]
2,672
124
[ 6, 17, 23, 43, 47, 54, 56, 73, 75, 78, 86, 94 ]
[ "((94/47)*(6+56))", "((75+43)+6)", "(86+(73-(56+(54-75))))", "(((17+23)+6)+78)" ]
2,673
124
[ 3, 7, 10, 14, 15, 25, 38, 58, 59, 61, 63, 69, 72, 82, 96 ]
[ "(((38+96)+15)-25)", "(3+((14+69)+38))", "(((61+59)/(15/7))+(10+58))", "(63+(61*((10+72)/82)))" ]
2,674
124
[ 1, 10, 11, 13, 17, 26, 36, 46, 50, 53, 61, 64, 67, 78, 81, 98, 99 ]
[ "((46+13)+(64+1))", "((61+53)+(46-36))", "((10-(11-98))-(26-53))", "((((99-17)-50)-67)+(78+81))" ]
2,675
124
[ 7, 21, 24, 35, 40, 44, 45, 59, 63, 67, 75, 77, 81, 91, 93 ]
[ "((67+(24-7))+40)", "((44+59)+21)", "((35-81)+(77+93))", "(((45+63)+91)-75)" ]
2,676
125
[ 7, 26, 35, 40, 42, 59, 75, 83, 92 ]
[ "((7+35)+83)", "((92+7)+26)", "((75+92)-42)", "(40+(26+59))" ]
2,677
125
[ 6, 22, 28, 42, 43, 58, 74, 91, 95, 99 ]
[ "((95+99)+(22-91))", "(99-(22-(6+42)))", "((((58+28)-74)+91)+22)", "((6*28)-43)" ]
2,678
125
[ 12, 16, 18, 29, 46, 52, 60, 64, 91 ]
[ "((64+91)+(16-46))", "((91+16)+18)", "(91+(52-18))", "((18+(64+60))+(12-29))" ]
2,679
125
[ 8, 11, 41, 62, 68, 71, 73, 77, 92 ]
[ "(92+(41-8))", "((92+68)-((41-77)+71))", "((71+62)-8)", "(41+(11+73))" ]
2,680
125
[ 3, 4, 7, 9, 11, 16, 22, 36, 44, 50, 56, 66, 83 ]
[ "((36+83)+(22-16))", "((44-(83-(4*11)))*(22+3))", "((56+3)+66)", "(((9+(56+3))+7)+50)" ]
2,681
125
[ 6, 15, 16, 19, 34, 68, 76, 88, 91, 97 ]
[ "(68-(6+(15-(97-19))))", "((16+(15+88))+6)", "((15+34)+76)", "((91-34)+68)" ]
2,682
125
[ 1, 12, 23, 28, 43, 46, 55, 70, 73, 75, 82 ]
[ "((43/1)+82)", "((70+55)/1)", "((28+(43+75))-((12-73)+82))", "(75-((46-73)-23))" ]
2,683
125
[ 10, 23, 48, 54, 57, 62, 73, 91, 100 ]
[ "(54+(23+48))", "((73+100)-48)", "((57-23)+91)", "(73+(62-10))" ]
2,684
125
[ 5, 7, 18, 31, 32, 72, 75, 78, 82, 85 ]
[ "((32+75)+18)", "((85+72)-32)", "((18+(7*5))+72)", "((82-(78-31))+(72+18))" ]
2,685
125
[ 6, 19, 24, 34, 50, 52, 54, 55, 63, 67, 81 ]
[ "((52+81)+(55-63))", "(((54+81)+(19+34))-63)", "((50+81)-6)", "((24+34)+67)" ]
2,686
125
[ 12, 15, 19, 35, 44, 62, 63, 65, 78 ]
[ "(62+(44+19))", "((65+(44-62))+78)", "(35+(12+78))", "((35+12)+(15+63))" ]
2,687
125
[ 2, 4, 28, 30, 51, 57, 69, 82, 92, 96, 97 ]
[ "(82-((57-4)-96))", "(97-((4-30)-2))", "(69+(30-(2-28)))", "((51*(92/69))+57)" ]
2,688
125
[ 8, 11, 17, 28, 47, 52, 53, 64, 70, 79, 95 ]
[ "(79-((52-11)-(95-8)))", "(47-(17-95))", "((47+((95+(64-70))-28))+17)", "(64+(53+8))" ]
2,689
125
[ 13, 18, 31, 38, 49, 58, 64, 74, 76, 99 ]
[ "(99+((76-74)*13))", "((99+64)-38)", "(18+(31+76))", "(58+(18+49))" ]
2,690
125
[ 2, 9, 43, 49, 61, 63, 80, 85, 86 ]
[ "((86+(61-85))+63)", "(85-(9-49))", "((80/2)+85)", "((2+80)+43)" ]
2,691
125
[ 26, 31, 32, 44, 50, 67, 69, 84, 85, 87 ]
[ "(26+(67+32))", "((67-(31-44))/(32/50))", "(84-(44-85))", "((69+87)-31)" ]
2,692
125
[ 5, 10, 24, 30, 51, 56, 59, 79, 86, 89, 100 ]
[ "((79+56)-10)", "(79+(51-5))", "(((79-30)+100)-24)", "(((59-79)+86)+(89-30))" ]
2,693
125
[ 2, 4, 8, 25, 29, 35, 39, 63, 71, 81, 90, 94 ]
[ "((2-(4-63))+(35+29))", "(25+(90-(29-39)))", "(90+(25-(71-81)))", "((39-8)+94)" ]
2,694
125
[ 8, 14, 19, 20, 22, 42, 49, 69, 74, 78, 94, 95 ]
[ "(((14+20)+69)+22)", "(42+((78+74)-69))", "((94+42)-(19-8))", "(49-(19-95))" ]
2,695
125
[ 15, 20, 21, 37, 38, 46, 50, 57, 62, 63, 66, 93 ]
[ "((62+37)+(46-20))", "((50+37)+38)", "((21+38)+66)", "(63+(((21-15)+93)-(57-20)))" ]
2,696
125
[ 1, 7, 12, 14, 36, 39, 44, 47, 51, 53, 60, 75, 77, 96, 98 ]
[ "((75+39)+(47-36))", "((44+53)+((75-98)+51))", "(77+((96+12)-(53+7)))", "((96-1)+(60*(7/14)))" ]
2,697
125
[ 4, 13, 18, 23, 24, 36, 54, 60, 61, 67, 72, 88 ]
[ "((67+(88+24))-54)", "((88+24)+13)", "(18-((4-88)-23))", "((72+((36+18)-61))+60)" ]
2,698
125
[ 3, 7, 14, 21, 23, 26, 29, 30, 38, 48, 50, 60, 61, 70, 81, 91 ]
[ "(30+(((3-21)+61)+(29+23)))", "(38+(26+61))", "((91+(81/3))-(7-14))", "(50-(((48-70)-60)+7))" ]
2,699
125
[ 12, 15, 33, 36, 40, 50, 59, 62, 68, 69, 72, 74, 80, 85, 90, 92, 95 ]
[ "((90-(74-59))+50)", "((92-90)+(85-((72/36)-40)))", "(62-((68-95)+((69-90)-15)))", "(33+(80+12))" ]
2,700
125
[ 1, 3, 12, 20, 25, 34, 66, 70, 78, 80, 87, 91, 93, 99 ]
[ "(1+((12-78)+(99+91)))", "((20+25)+(1*80))", "(12-((70-3)-(93+87)))", "((93+66)-34)" ]