index
int64
target
int64
available_numbers
list
solutions
list
2,501
118
[ 8, 27, 28, 32, 46, 49, 52, 83, 94 ]
[ "(94-(8-32))", "(94+(52-28))", "(83-((32-(46+49))+28))", "((83+8)+27)" ]
2,502
118
[ 3, 5, 13, 15, 16, 32, 35, 43, 60, 82, 93, 96 ]
[ "((16-15)+(35+82))", "(96+(82-60))", "((((43+96)-82)-32)+93)", "(((16+(43+5))+15)+(3*13))" ]
2,503
118
[ 6, 26, 35, 61, 66, 71, 77, 86, 92 ]
[ "((6+26)+86)", "((6+77)+35)", "((77-(71-86))-(66-92))", "(61+(92-35))" ]
2,504
118
[ 4, 8, 14, 26, 30, 33, 37, 39, 57, 75, 84 ]
[ "((26+(33-(37-39)))+57)", "((75-14)+57)", "((8+75)+(39-4))", "((4+84)+30)" ]
2,505
118
[ 3, 9, 18, 24, 47, 69, 82, 91, 92, 93 ]
[ "((18+9)+91)", "((91+3)+24)", "(((93+92)+(18-82))-3)", "((93+69)+(3-47))" ]
2,506
118
[ 13, 31, 40, 41, 54, 64, 77, 94, 95 ]
[ "(77+(54-13))", "((54+95)-31)", "((94-40)+(95-31))", "(95-(41-64))" ]
2,507
118
[ 3, 32, 37, 47, 50, 63, 68, 74, 78, 99 ]
[ "(37+(3+78))", "(74+(47-3))", "((((78+37)+32)-50)-(47-68))", "(63-((47-99)-3))" ]
2,508
118
[ 5, 13, 22, 41, 47, 49, 82, 87, 91 ]
[ "(49+(22+47))", "(91+(22+5))", "((87-(47-91))-13)", "((82-5)+41)" ]
2,509
118
[ 1, 10, 42, 51, 61, 67, 75, 99 ]
[ "(42+(75+1))", "((67+51)*1)", "((67-10)+61)", "(61+(99-42))" ]
2,510
118
[ 10, 17, 23, 34, 41, 59, 69, 82, 100 ]
[ "((59/41)*82)", "(59/(17/34))", "(100-(23-41))", "((59+69)-10)" ]
2,511
118
[ 2, 6, 14, 52, 62, 72, 85, 98 ]
[ "(14+(52*2))", "(6+(98+14))", "((72+52)-6)", "(((85-62)*2)+72)" ]
2,512
118
[ 11, 17, 18, 22, 31, 35, 45, 70, 73, 74, 78, 86, 93 ]
[ "((70+11)-(((35+31)-86)-17))", "(((74+((78+11)+31))+17)-93)", "(73+(93-(70-22)))", "((17+(74-18))+45)" ]
2,513
118
[ 1, 3, 11, 20, 28, 58, 80, 87, 90 ]
[ "((87+3)+28)", "((90*1)+28)", "((11+20)+87)", "((80+58)-20)" ]
2,514
118
[ 2, 8, 15, 21, 31, 35, 37, 55, 69, 72, 74, 84, 88, 100 ]
[ "((72-55)+(35-(8-74)))", "(15+(72+31))", "(((37-74)+84)+(2+(100-31)))", "((69-(21-(84-88)))+74)" ]
2,515
118
[ 4, 6, 36, 42, 46, 65, 76, 78, 83, 84, 86 ]
[ "((84+76)-42)", "((36+76)+6)", "(46+(76-4))", "((65+83)+((86-(84-46))-78))" ]
2,516
118
[ 2, 27, 32, 41, 45, 49, 57, 65, 77, 98 ]
[ "(57+(32+(2+27)))", "(41+(45+32))", "(77+((2*45)-49))", "(65+(98-45))" ]
2,517
118
[ 5, 7, 11, 13, 16, 23, 42, 51, 83, 84, 89, 95 ]
[ "((23+11)+84)", "((13+83)-((51+11)-84))", "((89-42)+(((84-11)+5)-7))", "((7+95)+16)" ]
2,518
118
[ 10, 12, 18, 20, 36, 53, 63, 64, 68, 79, 92 ]
[ "(((79+12)-36)+63)", "(63+((79+68)-92))", "(68+((12+20)+18))", "((18+79)+(10-(53-64)))" ]
2,519
118
[ 1, 16, 52, 61, 62, 69, 87, 88, 92, 94 ]
[ "((1+94)-(69-92))", "((92-62)+88)", "((16-52)+(62+92))", "((92-61)+87)" ]
2,520
118
[ 2, 11, 12, 27, 29, 37, 39, 45, 54, 58, 63, 80, 87, 95 ]
[ "((58+(27-54))+87)", "(39+((27+63)-11))", "((80+37)-(11-12))", "((95-((29+45)+2))+(12+87))" ]
2,521
118
[ 8, 20, 40, 42, 46, 59, 64, 65, 67, 71, 90, 93, 99 ]
[ "((71+93)-46)", "(((93+90)-99)-(8-42))", "((67+59)-8)", "((64+((65-71)+20))+40)" ]
2,522
118
[ 10, 17, 22, 31, 39, 40, 47, 53, 55, 61, 74, 77, 86, 89, 97 ]
[ "(22/(77/((17*31)-(61+53))))", "((97+74)-53)", "((40+86)+(89-97))", "((77+10)+((47-55)+39))" ]
2,523
118
[ 1, 4, 9, 20, 29, 30, 33, 39, 41, 49, 57, 58, 60, 63, 83, 95, 98 ]
[ "((((58+41)-20)+95)+(1-57))", "((49+33)+((9+(39+83))-95))", "(49-(29-98))", "((60+30)+((63/9)*4))" ]
2,524
118
[ 3, 7, 14, 23, 25, 32, 33, 37, 40, 45, 52, 66, 76, 80, 86, 91 ]
[ "(86-(32*(((33-23)-91)+80)))", "(37+((40+80)-(66-(52-25))))", "((45+66)+7)", "((14+(3+25))+76)" ]
2,525
118
[ 3, 24, 30, 34, 38, 43, 46, 50, 62, 81, 84, 87, 100 ]
[ "((81+3)+34)", "((87-(24-50))+(43-38))", "((30+38)+50)", "((24+62)+((46+(100-30))-84))" ]
2,526
119
[ 14, 26, 28, 32, 56, 72, 77, 79, 94 ]
[ "((77+28)+14)", "(14+(26+79))", "((79+72)-32)", "(72+((94/56)*28))" ]
2,527
119
[ 4, 13, 20, 30, 46, 53, 76, 93 ]
[ "(46-(20-93))", "(53+(46+20))", "((93+30)-4)", "(76+(30+13))" ]
2,528
119
[ 6, 18, 21, 32, 66, 80, 92, 93, 95 ]
[ "((93-66)+92)", "(66+(21+32))", "((21+80)+18)", "((95+6)+18)" ]
2,529
119
[ 1, 5, 28, 29, 31, 50, 58, 59, 66, 69, 82, 93 ]
[ "(28-((5+(29-82))-(93-50)))", "((50*1)+69)", "((66-5)+58)", "(59+(31+29))" ]
2,530
119
[ 7, 22, 31, 45, 55, 66, 71, 83, 90 ]
[ "(((55+45)-83)*7)", "((71+((7+31)+(55-90)))+45)", "((22+7)+90)", "(66+(22+31))" ]
2,531
119
[ 2, 8, 9, 16, 20, 31, 36, 41, 44, 80 ]
[ "((36*(44/16))+20)", "((16*8)-9)", "(31+(8+80))", "(80+(41-2))" ]
2,532
119
[ 5, 8, 18, 41, 61, 79, 83, 96 ]
[ "((5*8)+79)", "(96+(5+18))", "(41+(96-18))", "(18+(79+(83-61)))" ]
2,533
119
[ 4, 30, 33, 47, 68, 69, 75, 80, 81, 94 ]
[ "((33+(94+4))+(69-81))", "((80-30)+69)", "((68-30)+81)", "((30+75)-(33-47))" ]
2,534
119
[ 2, 6, 14, 19, 21, 34, 45, 55, 62, 72, 73, 91 ]
[ "(((55*6)-14)-((91+34)+72))", "((21-55)+((19+62)+72))", "((55+2)+62)", "(91-(45-73))" ]
2,535
119
[ 23, 25, 47, 58, 62, 68, 74, 86, 95 ]
[ "((86-25)+58)", "((86-62)+95)", "(47+(95-23))", "((74+68)-23)" ]
2,536
119
[ 3, 9, 13, 35, 42, 52, 56, 57, 60, 72, 75, 76 ]
[ "((60*3)-(52+9))", "(60-(13-72))", "((57+75)-13)", "(42-((56*(35-57))/(76-60)))" ]
2,537
119
[ 7, 11, 33, 37, 70, 79, 82, 90, 93, 99 ]
[ "(((82+11)+33)-7)", "((93-11)+37)", "(70-(37-(79+7)))", "((99-70)+90)" ]
2,538
119
[ 18, 19, 30, 39, 40, 44, 45, 55, 56, 74, 76, 78, 99, 100 ]
[ "((((30-19)+39)/(100/40))+99)", "(((78-30)+100)+(45-74))", "((40+56)+(78-55))", "((76+44)+(56-(39+18)))" ]
2,539
119
[ 29, 45, 50, 59, 61, 72, 76, 88, 90, 97 ]
[ "((76+59)-(61-45))", "(76+(72-29))", "(90-(59-88))", "((97+72)-50)" ]
2,540
119
[ 2, 3, 10, 15, 22, 42, 47, 56, 57, 59, 67, 83 ]
[ "((3*59)-((10+83)+(22-57)))", "((67+10)+42)", "((67+2)+(47+3))", "((22-15)+(2*56))" ]
2,541
119
[ 5, 11, 12, 16, 26, 40, 67, 68, 96 ]
[ "(11+(68+40))", "((68-16)+67)", "((5*26)-11)", "((96+12)+11)" ]
2,542
119
[ 1, 22, 24, 48, 50, 51, 65, 86, 96, 98 ]
[ "(24+((98-51)+48))", "(22-(1-98))", "((86*1)+(98-65))", "((96+(22-50))+51)" ]
2,543
119
[ 27, 29, 31, 32, 36, 47, 56, 57, 98, 100 ]
[ "((100-57)+(47+29))", "(57+(98-36))", "(56+(27+36))", "((32+31)+56)" ]
2,544
119
[ 7, 12, 28, 32, 40, 41, 42, 45, 53, 65, 94, 98 ]
[ "((65+(42+53))-41)", "((98-32)+53)", "(((94-28)-45)+98)", "((98-(12-40))-7)" ]
2,545
119
[ 6, 10, 13, 18, 28, 36, 73, 92, 96, 100 ]
[ "(100-(73-92))", "(6+(13+100))", "(10+(96+13))", "((13+28)+((18+96)-36))" ]
2,546
119
[ 6, 15, 19, 20, 23, 37, 38, 58, 80, 85, 89, 93, 97 ]
[ "(((20+97)-93)+(80+(38-23)))", "(97+(37-15))", "(97+((89+(6-58))-15))", "((15+85)+19)" ]
2,547
119
[ 1, 15, 35, 44, 53, 56, 57, 75, 77, 83, 86 ]
[ "(1+(35+83))", "((75/1)+44)", "(77-(15-(56+1)))", "(((53-77)+57)+86)" ]
2,548
119
[ 7, 12, 25, 28, 40, 46, 48, 52, 63, 82 ]
[ "((63-46)*7)", "(25+(48+46))", "(((48*28)/12)+7)", "((82+52)+(25-40))" ]
2,549
119
[ 2, 5, 12, 24, 34, 35, 38, 42, 51, 59, 71, 81, 86, 99 ]
[ "(71-(51-99))", "(((2+86)/(24/42))-35)", "(35+(81-(2-5)))", "((34+(38+59))-12)" ]
2,550
119
[ 10, 13, 16, 20, 41, 43, 53, 59, 60, 62, 63, 68, 79, 82, 84, 93 ]
[ "(((13-53)+16)+(59+84))", "((82+62)-(68-43))", "(63+((93-(10-41))-68))", "(79+(60-20))" ]
2,551
120
[ 4, 10, 11, 21, 22, 32, 64, 66, 90, 94 ]
[ "((64+((21-22)*10))+66)", "(((32+64)+90)-66)", "((94+90)-64)", "((21+(4*22))+11)" ]
2,552
120
[ 1, 2, 18, 21, 36, 37, 63, 68, 73, 81 ]
[ "(36-((18-21)-81))", "(63+(21+36))", "(68+(73-21))", "(((21-37)*1)+(2*68))" ]
2,553
120
[ 1, 17, 23, 33, 50, 56, 64, 87 ]
[ "((1*87)-(17-50))", "((87*1)+33)", "(50-((17-23)-64))", "(56+(64*1))" ]
2,554
120
[ 3, 12, 19, 30, 52, 54, 80, 86, 99 ]
[ "(12*(30/3))", "(19+((86+12)+3))", "((80-12)+52)", "((99-(52-54))+19)" ]
2,555
120
[ 7, 23, 25, 30, 31, 43, 59, 72, 82, 92 ]
[ "((92+59)-31)", "(((92+30)-(43+31))+72)", "((92+(82-72))-(7-25))", "(72+(23+25))" ]
2,556
120
[ 7, 8, 28, 45, 48, 51, 56, 67, 72, 85, 100 ]
[ "(((100+(51-72))-7)+48)", "((100-85)/(7/56))", "(28-(8-100))", "((8+45)+67)" ]
2,557
120
[ 5, 46, 56, 57, 71, 79, 82, 93, 95, 98, 99 ]
[ "((5+82)-(99-((93+95)-56)))", "((71+95)-46)", "(93-(71-98))", "(79+(98-57))" ]
2,558
120
[ 8, 25, 27, 33, 35, 52, 61, 84, 86 ]
[ "((8+61)+(84-33))", "(84-(25-61))", "((86-27)+61)", "((35+33)+52)" ]
2,559
120
[ 1, 16, 20, 41, 42, 45, 59, 74, 76, 98 ]
[ "(45+((41-42)+76))", "((45+74)+1)", "((42-20)+(1*98))", "(((45*1)+16)+59)" ]
2,560
120
[ 1, 13, 24, 34, 41, 58, 62, 82, 83 ]
[ "(34+(62+24))", "((58/1)+62)", "((41+(83+58))-62)", "(82+(83+(13-58)))" ]
2,561
120
[ 2, 15, 35, 68, 75, 87, 88, 92, 100 ]
[ "(35-(2-87))", "(100+(35-15))", "(88-(68-100))", "((68+(35-75))+92)" ]
2,562
120
[ 15, 20, 26, 32, 33, 43, 50, 71, 72, 75, 94, 96 ]
[ "(((33+20)+(43-71))/(15/72))", "(75/(20/32))", "(20+(32+(94-26)))", "((96+50)-26)" ]
2,563
120
[ 4, 6, 24, 27, 38, 45, 58, 74, 86, 89, 93 ]
[ "(((45+74)-(89-4))+86)", "((24-4)-(38-(45+93)))", "((6+24)*4)", "((89+58)-27)" ]
2,564
120
[ 10, 17, 23, 32, 45, 52, 56, 59, 68, 96 ]
[ "(56-(32-96))", "((68-56)*10)", "((17+(96+59))-52)", "(45+(52+23))" ]
2,565
120
[ 1, 25, 30, 44, 63, 65, 78, 90, 94, 96, 100 ]
[ "((78+(44/1))-(65-63))", "((94+25)+1)", "(30+(1*90))", "((96+94)-(100-30))" ]
2,566
120
[ 12, 41, 60, 61, 64, 71, 74, 82, 90 ]
[ "(71-(41-90))", "(60/(41/82))", "(71+(61-12))", "(12*(74-64))" ]
2,567
120
[ 5, 16, 26, 48, 52, 63, 64, 78, 80, 88, 93, 98 ]
[ "(64+(98-(26+16)))", "(5/((52/16)/78))", "(52+((93+63)-88))", "((88+80)-48)" ]
2,568
120
[ 1, 13, 33, 41, 46, 59, 61, 74, 92 ]
[ "((92+74)-46)", "((41+46)+33)", "((46+61)+13)", "((59+61)*1)" ]
2,569
120
[ 2, 7, 10, 11, 19, 37, 40, 53, 64, 69, 70 ]
[ "(53+((37-10)+40))", "((69+11)+40)", "(64+((40+7)+(11-2)))", "((70-19)+69)" ]
2,570
120
[ 1, 11, 19, 53, 55, 62, 65, 66, 67, 77, 89 ]
[ "(((66+19)-65)+(89+11))", "(66+(55-1))", "((77+62)-19)", "(53+(1*67))" ]
2,571
120
[ 1, 3, 23, 24, 43, 45, 51, 54, 85, 90 ]
[ "(54-((1*24)-90))", "((23+43)+54)", "((23*3)+51)", "(3*(85-45))" ]
2,572
120
[ 4, 12, 14, 18, 25, 26, 41, 53, 55, 69, 92 ]
[ "((92+53)-25)", "((25+55)+(26+14))", "(((69+41)-4)+14)", "((18+12)*4)" ]
2,573
120
[ 6, 27, 36, 47, 49, 63, 67, 69, 74, 79, 80, 87, 95 ]
[ "((36/6)+(27+87))", "(49+((95+63)-87))", "(((67+79)-95)+69)", "(74-(80-(47+79)))" ]
2,574
120
[ 4, 5, 6, 8, 9, 18, 20, 39, 67, 68, 74, 81, 98 ]
[ "(68+((5-18)-(9-74)))", "(4*(39-9))", "(((39-6)+98)-(20-9))", "(20*((81-67)-8))" ]
2,575
120
[ 2, 12, 14, 19, 21, 23, 34, 36, 40, 44, 48, 63, 67, 71, 72, 88, 90, 94, 97, 98, 100 ]
[ "(23-((97-(63+(71-40)))-100))", "(((((94-21)-98)-19)+67)+97)", "(((44*(14/88))+2)+(21+90))", "(((14+34)-((36-48)-72))-12)" ]
2,576
121
[ 2, 3, 23, 27, 31, 32, 58, 67, 86 ]
[ "((27*2)+67)", "(31+(23+67))", "(86-(23-58))", "((86+3)+32)" ]
2,577
121
[ 3, 8, 12, 29, 31, 44, 49, 53, 59, 60, 98 ]
[ "(60+(31-((8-12)-(29-3))))", "((53+8)+60)", "(44-(29-(98+8)))", "((59+(98/49))+60)" ]
2,578
121
[ 5, 16, 18, 29, 46, 70, 87, 91 ]
[ "(46+(91-16))", "(87+(18+16))", "(70+(46+5))", "(5+(87+29))" ]
2,579
121
[ 12, 14, 22, 26, 32, 70, 77, 83 ]
[ "((83-32)+70)", "((32+77)+12)", "(77+(70-26))", "((77*22)/14)" ]
2,580
121
[ 2, 10, 15, 20, 35, 43, 48, 50, 69, 96 ]
[ "(((48-20)+43)+50)", "((69+2)+50)", "((35+69)+(2+15))", "(96+(35-10))" ]
2,581
121
[ 13, 17, 36, 63, 64, 90, 91, 94, 98 ]
[ "(94-(63-90))", "(91+(94-64))", "((98+17)+(36-(94-64)))", "((98-13)+36)" ]
2,582
121
[ 14, 15, 25, 31, 59, 65, 73, 82, 85 ]
[ "(14+(25+82))", "(14+(73+(59-25)))", "(25+(31+65))", "((82-31)-(15-85))" ]
2,583
121
[ 1, 3, 7, 14, 16, 17, 22, 29, 32, 34, 46, 79, 81, 85, 90 ]
[ "(((90+79)-34)+((1*3)-17))", "(7+(85-(34+(16-79))))", "(((32+90)+29)-(14+16))", "((90*3)-((46+81)+22))" ]
2,584
121
[ 5, 24, 36, 41, 44, 61, 63, 66, 75 ]
[ "(44+(36+41))", "(((36+63)+66)-44)", "((41+75)+5)", "((61+24)-(5-41))" ]
2,585
121
[ 13, 17, 41, 45, 46, 60, 73, 78, 89 ]
[ "((78-17)+60)", "(89-(46-78))", "(45+(89-13))", "(89-(41-73))" ]
2,586
121
[ 16, 21, 26, 41, 43, 51, 54, 59, 86 ]
[ "(54+(26+41))", "((51+16)+54)", "((21+41)-((43-16)-86))", "((21+41)+59)" ]
2,587
121
[ 7, 28, 35, 50, 52, 58, 70, 86, 88, 89, 91 ]
[ "((52*(91-88))-35)", "(58+(91-28))", "((7+86)+28)", "(50-((88-89)-70))" ]
2,588
121
[ 1, 10, 16, 19, 20, 31, 52, 55, 74, 92 ]
[ "(31+(16+74))", "((31+16)+(1*(19+55)))", "(((20+(55-16))+10)+52)", "((10+92)+19)" ]
2,589
121
[ 9, 27, 38, 39, 51, 61, 76, 95, 97, 98, 100 ]
[ "(9+(100+(39-27)))", "(((39-51)*(95-100))+61)", "(97+(100-76))", "(61+(98-38))" ]
2,590
121
[ 9, 10, 18, 19, 30, 38, 58, 68, 72, 74, 80, 81, 90, 98 ]
[ "((74+((38+90)-(80-9)))-10)", "(((90/10)+(58-18))+72)", "((72+98)-((19+68)-38))", "((30+10)+81)" ]
2,591
121
[ 5, 10, 26, 28, 42, 61, 71, 73, 85, 90, 91, 96 ]
[ "(73-((28-71)-5))", "((26+90)+5)", "((26+(91+96))-((61-42)+73))", "(26+(85+10))" ]
2,592
121
[ 3, 10, 22, 24, 46, 48, 51, 55, 63 ]
[ "((55+63)+3)", "((48+63)+10)", "(48+(51+22))", "(24+(51+46))" ]
2,593
121
[ 8, 15, 19, 22, 24, 36, 37, 46, 56, 67, 69, 70, 87, 90 ]
[ "(((19+8)-(22-70))+46)", "(19+(87+15))", "(15+((56+67)-((37+70)-90)))", "(69-((8-36)-24))" ]
2,594
121
[ 4, 6, 13, 36, 42, 60, 62, 63, 65, 67, 72, 76 ]
[ "((76+(13-4))+36)", "((4+(67+63))-13)", "((76+65)+(42-62))", "(((72+62)-(67+6))+60)" ]
2,595
121
[ 3, 11, 33, 38, 50, 64, 65, 68, 70, 99 ]
[ "(70-((3+11)-65))", "((33+99)-11)", "((64-11)+68)", "(33+(38+50))" ]
2,596
121
[ 13, 22, 29, 30, 31, 40, 46, 47, 54, 64, 76, 82, 85 ]
[ "(((30+64)-13)+40)", "((85-(40-22))+54)", "(82+(54-(46-31)))", "(((76+29)-31)+47)" ]
2,597
121
[ 1, 2, 16, 27, 41, 53, 60, 68, 77, 84 ]
[ "(53+(84-16))", "(41+(27+53))", "((77-16)+60)", "((53+68)/(2-1))" ]
2,598
121
[ 4, 6, 23, 26, 35, 45, 47, 48, 57, 64, 87, 97 ]
[ "(87+((4+(23+64))-57))", "((47+97)-23)", "((26+47)+48)", "(35-(6-(45+47)))" ]
2,599
121
[ 2, 9, 17, 33, 36, 43, 44, 48, 62, 66, 79, 90, 92, 99 ]
[ "(90-(((44-36)+43)+(17-99)))", "((79+44)-2)", "((79-((48+9)-33))+66)", "((92-33)+62)" ]
2,600
121
[ 7, 20, 23, 29, 41, 50, 51, 55, 72, 73, 78, 81, 93 ]
[ "((7-20)+(41+93))", "(20+(72+29))", "((23+93)+(55-50))", "(((73+51)+78)-81)" ]