index
int64
target
int64
available_numbers
list
solutions
list
1,501
68
[ 1, 18, 19, 21, 33, 34, 46, 67, 86 ]
[ "(34+(67-33))", "(19-(18-67))", "(86-(18/1))", "(21+(46+1))" ]
1,502
68
[ 4, 10, 11, 12, 15, 20, 37, 70, 76, 89 ]
[ "((10+(15+(12*11)))-89)", "((12-4)-(10-70))", "(20+(11+37))", "(12-(20-76))" ]
1,503
68
[ 2, 42, 56, 61, 73, 77, 90, 99 ]
[ "((42-73)+99)", "((73+56)-61)", "((90-56)*2)", "(90+(77-99))" ]
1,504
68
[ 17, 44, 46, 70, 82, 90, 94, 95, 97 ]
[ "((97+82)-(94+17))", "(17*(94-90))", "((95+70)-97)", "(44-(46-70))" ]
1,505
68
[ 2, 37, 46, 53, 59, 65, 72, 74, 77, 87 ]
[ "(2-(74-(87+53)))", "(72-(59-(53+2)))", "(46+(59-37))", "((65+77)-74)" ]
1,506
68
[ 7, 16, 20, 25, 29, 41, 45, 52, 61, 64, 75, 84 ]
[ "((29+52)-(20-7))", "(61+((16-29)+20))", "(64+(20-(61-45)))", "(((41+20)+75)/(61+(25-84)))" ]
1,507
68
[ 25, 39, 52, 53, 62, 63, 67, 72, 92, 98 ]
[ "(92-(25-(53-52)))", "((98-92)+62)", "((92+39)-63)", "(72+(63-67))" ]
1,508
68
[ 28, 49, 53, 64, 79, 89, 95, 99, 100 ]
[ "((99+64)-95)", "(53-(49-64))", "((89-49)+28)", "(79-(100-89))" ]
1,509
68
[ 2, 8, 10, 16, 66, 76, 81, 86, 89 ]
[ "((86-2)-16)", "((76-16)+8)", "(10-(8-66))", "(81+(76-89))" ]
1,510
68
[ 35, 45, 46, 47, 48, 56, 67, 69 ]
[ "((56+47)-35)", "((48-47)+67)", "((67+46)-45)", "((69-46)+45)" ]
1,511
68
[ 3, 12, 26, 27, 29, 35, 36, 44, 46, 95 ]
[ "((26+(35-12))-(27-46))", "((35-36)+(95-26))", "((27-3)+44)", "((29+36)+3)" ]
1,512
68
[ 6, 14, 15, 35, 50, 58, 75, 79, 87, 89, 94 ]
[ "((14+89)-35)", "((14+(50+79))-75)", "((50-75)+(87+6))", "((6-(75-58))-(15-94))" ]
1,513
68
[ 3, 5, 16, 19, 36, 37, 49, 56, 62, 65, 89 ]
[ "(65+((37+19)*(3/56)))", "(37+(36-5))", "(89+((36-62)+5))", "((49+(65-62))+16)" ]
1,514
68
[ 10, 13, 17, 32, 48, 52, 65, 87, 99 ]
[ "(52*(17/13))", "((87+13)-32)", "(13+(65-10))", "(99+(17-48))" ]
1,515
68
[ 8, 15, 25, 36, 44, 55, 57, 64, 68, 75, 80 ]
[ "((80+44)-(64-8))", "((75+8)-15)", "((57+55)-44)", "(((55-68)*64)+(36*25))" ]
1,516
68
[ 1, 12, 27, 45, 55, 62, 73, 79, 96 ]
[ "(96-(73-45))", "((62+79)-73)", "(96-(1+27))", "(1+(55+12))" ]
1,517
68
[ 1, 11, 25, 36, 40, 41, 50, 68, 77, 78, 94 ]
[ "(77+(41-50))", "(78+(40-50))", "(((78+94)-68)-36)", "(((68+(36/1))-25)-11)" ]
1,518
68
[ 2, 17, 46, 49, 61, 62, 66, 75, 78, 83, 85 ]
[ "(49-(((46-78)+75)-62))", "((46+83)-61)", "((85+66)-83)", "(61+(2+(85/17)))" ]
1,519
68
[ 1, 4, 9, 24, 27, 47, 50, 55, 60, 63, 68, 100 ]
[ "(((50*1)+((63+47)-68))-24)", "(60-(47-55))", "(63-(4-9))", "(27+(100-(9+50)))" ]
1,520
68
[ 7, 20, 21, 38, 71, 74, 82, 86, 92, 94 ]
[ "((94+7)-(71-38))", "(20+(86-38))", "((86-92)+74)", "((82+7)-21)" ]
1,521
68
[ 2, 5, 9, 19, 23, 57, 61, 64, 69, 72, 83, 94 ]
[ "(((83-23)-64)+72)", "((72-9)+5)", "(94-(64-(19*2)))", "(69+(61-(5+57)))" ]
1,522
68
[ 7, 19, 24, 27, 28, 32, 39, 53, 54, 66, 71, 93, 96 ]
[ "(39+((24-66)+71))", "(((24+71)+27)-54)", "(((28-24)+96)-32)", "((54+53)+((28-93)+(7+19)))" ]
1,523
68
[ 11, 15, 22, 30, 32, 34, 44, 56, 60, 79, 81 ]
[ "(30-(11+(32-81)))", "(34/(30/60))", "((79+30)-(56-15))", "(22+((56+34)-44))" ]
1,524
68
[ 6, 9, 10, 14, 28, 29, 41, 43, 51, 53, 56, 63, 69, 80, 100 ]
[ "((63+80)-(6+69))", "(((28-41)+9)+(43+29))", "(53-(29-(100-56)))", "(51-((14-41)+10))" ]
1,525
68
[ 3, 22, 24, 33, 37, 42, 51, 58, 59, 60, 65, 66, 68, 72, 74, 78, 81, 88 ]
[ "((3+59)+(66-60))", "((68+74)+((22+(42-66))*37))", "(24-(((58+51)-72)-81))", "((88-65)-(33-78))" ]
1,526
69
[ 12, 33, 40, 46, 49, 60, 66, 76 ]
[ "((76-40)+33)", "(46/(40/60))", "(((60+12)+46)-49)", "(49-(46-66))" ]
1,527
69
[ 2, 37, 57, 60, 62, 72, 77, 86, 93 ]
[ "((93+62)-86)", "((60+86)-77)", "((72-60)+57)", "((37*2)-(77-72))" ]
1,528
69
[ 2, 12, 38, 46, 63, 64, 67, 73, 77, 83 ]
[ "(38+((12-64)+83))", "(77+(38-46))", "((73*2)-77)", "(63-(67-73))" ]
1,529
69
[ 8, 10, 24, 26, 35, 39, 73, 84 ]
[ "(24+(35+10))", "((35+73)-39)", "(84+(24-39))", "(26+(8+35))" ]
1,530
69
[ 32, 34, 36, 38, 39, 65, 79, 88, 96, 100 ]
[ "((96+38)-65)", "(34+(100-65))", "(((36+38)+34)-39)", "(((79-32)+(88-100))+34)" ]
1,531
69
[ 8, 21, 25, 32, 38, 40, 53, 56, 93 ]
[ "((38-25)+56)", "((56-40)+53)", "((8+40)+21)", "(93-(32-8))" ]
1,532
69
[ 24, 53, 57, 62, 76, 78, 92, 98, 99 ]
[ "(99+(62-92))", "((57*92)/76)", "((78+53)-62)", "((24-53)+98)" ]
1,533
69
[ 13, 18, 31, 40, 47, 61, 65, 69, 74, 87, 91, 96, 99 ]
[ "(((40+47)-87)+69)", "(40-((((74+69)-13)/65)-31))", "(((47+(99+65))-(91+69))+18)", "(61+(13-(96-91)))" ]
1,534
69
[ 1, 5, 13, 23, 27, 28, 33, 34, 41 ]
[ "(34+((27+41)-33))", "((23+5)+41)", "((28-(13*1))/(5/23))", "((1*28)+41)" ]
1,535
69
[ 1, 4, 7, 11, 31, 54, 57, 59, 62, 73 ]
[ "((59-1)+11)", "(73-((62-59)+1))", "(4+(54+11))", "(((57-4)-7)-(31-54))" ]
1,536
69
[ 14, 24, 33, 35, 36, 38, 45, 57, 60, 69 ]
[ "((33+57)-(35-14))", "((45-14)+38)", "((45-36)+60)", "(69/((36+24)/60))" ]
1,537
69
[ 1, 3, 8, 10, 15, 16, 30, 42, 58, 70, 95 ]
[ "(((30+42)+70)-(15+58))", "((16-42)+95)", "((1+(16+10))+42)", "(1*(3*(8+15)))" ]
1,538
69
[ 3, 6, 22, 27, 32, 41, 50, 58, 98 ]
[ "(41+(50-22))", "(41+(6+22))", "((32+6)+(58-27))", "((3+98)-32)" ]
1,539
69
[ 1, 8, 11, 18, 21, 29, 37, 46, 72, 86 ]
[ "(8-(11-72))", "((18+72)-21)", "(((29-(18-37))+21)/1)", "((86-46)+29)" ]
1,540
69
[ 12, 24, 49, 51, 55, 61, 67, 75, 85, 91 ]
[ "((85+75)-91)", "(49-(55-75))", "((12+(75+61))-(24+55))", "((51-67)+(24+61))" ]
1,541
69
[ 16, 18, 19, 27, 58, 61, 66, 67, 77 ]
[ "((67-16)+18)", "(19+(66-16))", "((66-58)+61)", "(19+(77-27))" ]
1,542
69
[ 7, 14, 17, 20, 30, 32, 40, 79 ]
[ "(30+(7+32))", "(79-(30-20))", "(17+(32+20))", "((32-17)+(40+14))" ]
1,543
69
[ 15, 22, 24, 29, 36, 46, 57, 59, 63, 82, 88, 92 ]
[ "((15+24)+((88-36)-22))", "(63-(82-88))", "(59-(82-92))", "(46+((29+57)-63))" ]
1,544
69
[ 11, 20, 25, 46, 48, 55, 70, 74, 88, 91, 95, 100 ]
[ "(100+((70-46)-55))", "(((25+11)+88)-55)", "(((20-((48-25)-55))-74)+91)", "((48+95)-74)" ]
1,545
69
[ 5, 6, 7, 12, 16, 17, 52, 63, 71, 94, 98 ]
[ "((94-98)+(63+(16-6)))", "((17/(7-6))+52)", "((12+5)+52)", "(71+(5-7))" ]
1,546
69
[ 4, 11, 23, 28, 29, 57, 63, 77, 79, 86, 87, 90 ]
[ "(63+((23*4)-86))", "((23*87)/29)", "(28+(87+(11-57)))", "(90-(23+(77-79)))" ]
1,547
69
[ 1, 3, 6, 9, 32, 43, 51, 57, 65, 77, 85, 89, 97 ]
[ "((89-1)+(32-51))", "(65+(89-85))", "((77-57)+((1-(43-85))+6))", "(((9+43)+97)-(3+77))" ]
1,548
69
[ 13, 18, 20, 25, 42, 43, 53, 54, 67, 81, 82, 90 ]
[ "(18-((82-90)-43))", "(20-(18-(13+54)))", "((81-25)+13)", "((67-53)+(42+13))" ]
1,549
69
[ 3, 11, 24, 28, 30, 33, 44, 47, 65, 68, 90, 98, 99 ]
[ "((44-33)+(11+47))", "((3*24)+(30-33))", "(3+((65-98)+99))", "(((90-24)-(68+28))+99)" ]
1,550
69
[ 5, 10, 13, 15, 26, 35, 37, 42, 55, 58, 64, 77, 79, 80, 99 ]
[ "(10+(64-5))", "((64-79)+(26+58))", "((((99-(77-55))-10)+15)-13)", "(((37-35)-55)+(80+42))" ]
1,551
70
[ 5, 6, 9, 15, 18, 34, 37, 42, 67, 69, 86 ]
[ "((34-((6*15)-86))*(42/18))", "(((5*6)+(67-18))-9)", "((37+67)-34)", "((69-5)+6)" ]
1,552
70
[ 22, 23, 28, 31, 43, 47, 55, 75, 82, 90, 94 ]
[ "(75-(28-23))", "((23+94)-47)", "((94-55)+31)", "(((90+(28+43))-(31+82))+22)" ]
1,553
70
[ 1, 3, 17, 18, 25, 48, 49, 50, 86 ]
[ "((18+3)+49)", "((25+48)-3)", "((50+3)+17)", "(1+(86-17))" ]
1,554
70
[ 1, 5, 17, 42, 45, 60, 66, 76, 78, 83 ]
[ "((83-60)+(42+5))", "(((42+17)-45)*5)", "((60+76)-66)", "(((66+83)-78)-1)" ]
1,555
70
[ 10, 22, 23, 54, 55, 61, 62, 67, 69, 74, 93 ]
[ "((54+55)+(((23+74)-69)-67))", "((93+(54-10))-67)", "(10*((61+93)/22))", "(69+(62-61))" ]
1,556
70
[ 6, 14, 19, 22, 40, 44, 61, 88, 95, 96, 97, 98 ]
[ "((22-40)+88)", "((61+97)-88)", "(((44+14)+6)+(61-(95-40)))", "((98+6)-((61-96)-(19-88)))" ]
1,557
70
[ 1, 9, 12, 27, 30, 32, 37, 60, 88 ]
[ "((37+60)-27)", "(1+(32+37))", "((88+9)-27)", "((88+12)-30)" ]
1,558
70
[ 4, 21, 23, 36, 37, 40, 46, 59, 65, 76 ]
[ "((76+59)-65)", "(76+(40-46))", "(((40+76)+4)*(21/36))", "(((37-36)+23)+46)" ]
1,559
70
[ 1, 13, 24, 57, 67, 68, 70, 75, 81, 86 ]
[ "((1*13)+57)", "((81+57)-68)", "(70/(68-67))", "((75+((1*24)-(86-70)))-13)" ]
1,560
70
[ 7, 14, 28, 34, 49, 76, 79, 84 ]
[ "((76+28)-34)", "((28+49)-7)", "((7*14)-28)", "(14*(84-79))" ]
1,561
70
[ 11, 21, 25, 36, 38, 45, 84, 94 ]
[ "((21+11)+38)", "(21-(45-94))", "(36+(45-11))", "((11+84)-25)" ]
1,562
70
[ 5, 8, 9, 22, 39, 43, 45, 47, 66, 74 ]
[ "(((74+9)-8)-5)", "((39-43)+74)", "(66-(43-47))", "(45+(47-22))" ]
1,563
70
[ 5, 11, 18, 37, 42, 44, 45, 69, 89, 90 ]
[ "(69+(45-44))", "(90+(69-89))", "((18+89)-37)", "(69-((5-18)+((90+42)/11)))" ]
1,564
70
[ 4, 10, 16, 30, 37, 38, 49, 50, 82 ]
[ "(82-(16-4))", "((82-49)+37)", "((82-50)+38)", "((30-10)+50)" ]
1,565
70
[ 4, 33, 41, 50, 57, 60, 64, 84, 97 ]
[ "((33+41)-4)", "(97-(60-33))", "(97-(84-57))", "(50+(84-64))" ]
1,566
70
[ 7, 13, 25, 32, 48, 53, 62, 70, 75, 78 ]
[ "(((48+62)-53)+13)", "((78+62)-70)", "(13+(25+32))", "(((7+13)+75)-25)" ]
1,567
70
[ 7, 8, 10, 32, 33, 45, 64, 70, 80, 93, 97, 98 ]
[ "(((80+64)/(32/10))*(70/45))", "((98-97)*70)", "(70/(8-7))", "(8-((64-33)-93))" ]
1,568
70
[ 15, 22, 23, 26, 32, 35, 46, 63, 82, 84 ]
[ "((15+23)+32)", "(35/(23/46))", "(63-(15-22))", "((82+(46-84))+26)" ]
1,569
70
[ 1, 3, 10, 30, 39, 51, 53, 75, 83, 91, 96 ]
[ "(((1-75)+53)+91)", "((30+96)-(53+3))", "(96-((75-10)-39))", "((3*51)-83)" ]
1,570
70
[ 2, 7, 26, 30, 32, 33, 42, 71, 99 ]
[ "(((33-32)+71)-2)", "((33+30)+7)", "(2+(42+26))", "((42-71)+99)" ]
1,571
70
[ 13, 17, 34, 35, 40, 44, 56, 58, 68, 73, 81, 84 ]
[ "(44+((34/17)*13))", "(84-(58-44))", "((84-((17-81)+68))/(40/35))", "(40-((56-73)-13))" ]
1,572
70
[ 10, 11, 13, 16, 26, 28, 50, 63, 67, 72, 79 ]
[ "(16-((11+10)-((79-67)+63)))", "(((79-50)-26)+67)", "(28+(26+16))", "(72-(13-11))" ]
1,573
70
[ 10, 17, 23, 31, 40, 52, 56, 73, 87, 91, 92, 95 ]
[ "(((17+23)/52)*91)", "(((92+40)-10)-52)", "(40-(87-((56-31)+92)))", "((92-95)+73)" ]
1,574
70
[ 18, 27, 55, 64, 66, 68, 72, 74, 81, 83, 95, 96 ]
[ "((83+55)-68)", "(66-(64-68))", "(((55+(96-27))-72)+18)", "((74+95)-(81+18))" ]
1,575
70
[ 1, 6, 12, 19, 23, 30, 35, 39, 45, 69, 72, 74, 77, 78, 90, 92, 95, 100 ]
[ "(45-(92-(78+39)))", "(((23-78)-((30+12)-72))+95)", "((69+(77-(100-30)))-6)", "(((19-74)+(90*1))+35)" ]
1,576
71
[ 1, 12, 22, 23, 33, 34, 37, 51, 61, 87 ]
[ "((87+(23-51))+12)", "(87+(51-(33+34)))", "((37/1)+34)", "((22-12)+61)" ]
1,577
71
[ 2, 6, 16, 30, 37, 39, 55, 73, 100 ]
[ "((16-(6+39))+100)", "(73-((55*2)/(16+39)))", "((30+39)+2)", "(73-(39-37))" ]
1,578
71
[ 1, 5, 8, 24, 31, 41, 68, 75, 81, 89, 98 ]
[ "(8+(68-(5*1)))", "((89+5)+(8-31))", "((81-98)+(89-1))", "(31+(41+(98-(75+24))))" ]
1,579
71
[ 24, 32, 49, 55, 57, 72, 80, 86, 96 ]
[ "((80-(24-72))-57)", "((86+57)-72)", "(55-((32+24)-72))", "(96-(49-24))" ]
1,580
71
[ 1, 2, 11, 14, 15, 35, 77, 80, 90, 94 ]
[ "((15-35)+(14+77))", "(11-((35-80)-15))", "(1+((11-35)+94))", "(77-(94+(2-90)))" ]
1,581
71
[ 7, 29, 36, 50, 54, 60, 65, 85, 88, 91 ]
[ "(65+(91-85))", "(85+(36-50))", "((85+((7+60)+36))-(88+29))", "((65-54)+60)" ]
1,582
71
[ 9, 10, 15, 52, 66, 67, 70, 84, 85 ]
[ "(70+(85-84))", "(84-(9-(66-70)))", "((9+10)+52)", "(10-((15-9)-67))" ]
1,583
71
[ 1, 4, 9, 12, 54, 61, 63, 65, 69, 88 ]
[ "((4*(65-69))-(1-88))", "(12-(4-63))", "(((54+12)-4)+9)", "(61+(9+1))" ]
1,584
71
[ 14, 53, 54, 59, 66, 71, 74, 83 ]
[ "((14+66)-(83-74))", "((54+83)-66)", "((66+59)-54)", "(71/(54-53))" ]
1,585
71
[ 2, 15, 21, 28, 48, 54, 79, 82, 89, 91 ]
[ "(15+((89-54)+21))", "(2+(54+15))", "((48+(21+91))-89)", "((79-2)-(82-(48+28)))" ]
1,586
71
[ 2, 7, 8, 33, 40, 67, 70, 71, 72 ]
[ "((2*((71-40)+8))-7)", "(7-(8-72))", "((40+33)-2)", "((67*2)-(70-7))" ]
1,587
71
[ 3, 9, 11, 20, 22, 29, 32, 37, 77, 85 ]
[ "((85+(29-11))-32)", "((22+20)+29)", "(((77+11)+20)-37)", "((77+3)-9)" ]
1,588
71
[ 16, 20, 23, 31, 40, 54, 86, 91, 95 ]
[ "((86-31)+16)", "(((23+86)+16)-54)", "(16-(40-95))", "(91-(40-20))" ]
1,589
71
[ 3, 15, 22, 31, 37, 40, 50, 59, 90, 92 ]
[ "(15+(59-3))", "(31-(37-(92-15)))", "(31-(50-90))", "(40-(50-(59+22)))" ]
1,590
71
[ 9, 12, 21, 45, 53, 61, 64, 71, 73, 80 ]
[ "((12+((21+64)-71))+45)", "((64-(9-61))-45)", "((9+80)-(71-53))", "((80+64)-73)" ]
1,591
71
[ 11, 13, 25, 26, 35, 57, 58, 86, 93 ]
[ "(25+(57-11))", "(86-(26-11))", "((26+58)-13)", "(93-(35-13))" ]
1,592
71
[ 5, 6, 18, 22, 24, 42, 48, 54, 72, 73, 75 ]
[ "(73-((54-42)/6))", "(24+((75-22)-6))", "(22+(73-(72-48)))", "((18+48)+5)" ]
1,593
71
[ 10, 27, 34, 36, 44, 63, 64, 80, 90, 98, 99 ]
[ "((80-(34-98))-(10+63))", "((63-36)+44)", "((64-27)+34)", "(80-(99-90))" ]
1,594
71
[ 1, 7, 20, 22, 33, 47, 60, 64, 84 ]
[ "(60-(22-33))", "(84-(60-47))", "((7+84)-20)", "((64*1)+7)" ]
1,595
71
[ 21, 29, 45, 46, 51, 53, 63, 66, 69, 92 ]
[ "((53+92)-(45+29))", "((29-21)+63)", "(69+(53-51))", "((51+66)-46)" ]
1,596
71
[ 1, 9, 10, 14, 16, 36, 40, 41, 46, 51, 52, 62, 81 ]
[ "((9+(16*10))-((51+1)+46))", "(41-(10-40))", "((52+(41*1))-(36-14))", "(81-(62-52))" ]
1,597
71
[ 8, 9, 11, 16, 32, 43, 52, 54, 56, 76, 79, 82, 91, 96, 99 ]
[ "((8+((54-99)+56))+52)", "(((43-32)+76)-16)", "(82-(96-(76+9)))", "(79-((11*9)-91))" ]
1,598
71
[ 11, 47, 49, 51, 58, 64, 66, 73, 75, 79, 89, 94, 97 ]
[ "(49+(97-75))", "((47+11)+(64-51))", "((58+66)+(73-(47+79)))", "(94+(66-89))" ]
1,599
71
[ 5, 15, 17, 18, 24, 26, 29, 38, 40, 41, 48, 57, 82 ]
[ "(((5*15)+82)-(57+29))", "(18+((17+41)-5))", "(48-(17-40))", "(38+(26-(17-24)))" ]
1,600
71
[ 2, 3, 4, 7, 13, 21, 22, 26, 46, 69, 71, 73, 77, 80, 83, 85 ]
[ "(69+((83+71)/77))", "((80+2)+(22-(46-13)))", "((26+73)-(21+7))", "((85-3)-(4+7))" ]