index
int64
target
int64
available_numbers
list
solutions
list
3,401
156
[ 5, 7, 18, 22, 23, 51, 67, 82, 92 ]
[ "(22-(((7-92)-67)+18))", "(82-(18-92))", "(18+((51+92)-5))", "((51+23)+82)" ]
3,402
156
[ 27, 28, 31, 32, 34, 63, 68, 70, 92, 93, 95 ]
[ "(((63+34)+27)+32)", "((70+(93+27))-34)", "((95+31)-(63-93))", "((93/31)*(92+(28-68)))" ]
3,403
156
[ 1, 14, 26, 34, 50, 57, 61, 83, 87, 92, 97 ]
[ "((1*(83+97))+(26-50))", "((92+1)-(34-97))", "((61+26)-(14-83))", "((57+87)-(14-26))" ]
3,404
156
[ 4, 17, 21, 28, 32, 56, 62, 64, 66, 78, 84 ]
[ "(((21-17)*78)*(28/56))", "(((84/21)*32)+28)", "(((4+56)-21)*(66-62))", "(78*(66-64))" ]
3,405
156
[ 3, 5, 24, 25, 26, 29, 36, 42, 47, 70, 76, 85, 91 ]
[ "(((36+91)-(3+70))+(76+26))", "((25-(26-24))+(42+91))", "((47+5)*3)", "((29+85)+42)" ]
3,406
156
[ 4, 13, 24, 37, 39, 44, 53, 64, 78, 79, 90 ]
[ "((78/(24/44))+13)", "((64+79)+13)", "(78*(39-37))", "((90+(78+4))-(53-37))" ]
3,407
156
[ 5, 12, 17, 40, 44, 64, 71, 80, 95 ]
[ "((95+44)+17)", "((5*40)-44)", "(5+(71+80))", "(64+(12+80))" ]
3,408
156
[ 8, 18, 31, 36, 39, 41, 54, 61, 89, 100 ]
[ "(((18+(31+89))+54)-36)", "((8*18)/(36/39))", "(89-((41-100)-8))", "(54+(41+61))" ]
3,409
156
[ 1, 2, 7, 9, 18, 43, 69, 71, 94 ]
[ "(71-(9-94))", "((7+71)*2)", "(18+(69*2))", "(((94+18)+1)+43)" ]
3,410
156
[ 19, 28, 31, 37, 45, 46, 63, 65, 75, 97 ]
[ "((75+37)+(63-19))", "(((46+63)+28)+19)", "(45+(46+65))", "((31+28)+97)" ]
3,411
156
[ 2, 8, 10, 15, 55, 58, 70, 91, 96 ]
[ "(91+(55+10))", "((70-10)+96)", "((96+2)+58)", "(2*((15+8)+55))" ]
3,412
156
[ 1, 16, 20, 25, 59, 65, 72, 81, 82, 83, 98 ]
[ "(((72-83)+(20+82))+65)", "((98+83)-25)", "(98+(59-1))", "(16+(81+59))" ]
3,413
156
[ 27, 39, 43, 55, 58, 62, 66, 67, 74, 78, 97 ]
[ "((66-74)+(97+67))", "((62+27)+67)", "((((78-97)+58)+55)+62)", "(74+(43+39))" ]
3,414
156
[ 5, 8, 12, 18, 32, 34, 41, 48, 51, 55, 58, 69, 87 ]
[ "(55+(32+69))", "(34+(5+(48+69)))", "((34/(51/12))/(8/(87+69)))", "((41+(18*8))-(87-58))" ]
3,415
156
[ 2, 14, 15, 36, 54, 69, 72, 75, 77, 81, 84 ]
[ "((15-72)+(75+(69*2)))", "((14*15)-54)", "((2*36)+84)", "(81+(77-2))" ]
3,416
156
[ 5, 6, 16, 24, 27, 43, 53, 72, 97 ]
[ "((16+43)+97)", "(97+(6+53))", "(((5*(27+16))-6)-53)", "(27+((43*72)/24))" ]
3,417
156
[ 22, 33, 38, 42, 45, 53, 61, 73, 81 ]
[ "((38+45)+73)", "(73+(61+22))", "((42+61)+53)", "((81+33)+42)" ]
3,418
156
[ 3, 20, 22, 23, 39, 52, 53, 65, 67, 77, 82 ]
[ "(82+(77-3))", "((67+(65+77))-53)", "(39/(22/(65+23)))", "(52*(23-20))" ]
3,419
156
[ 6, 14, 26, 33, 54, 57, 66, 81, 83, 86, 93, 99 ]
[ "(26+((83+86)-((54-81)+66)))", "((99-93)*26)", "(93-((14-83)+6))", "(66+(57+33))" ]
3,420
156
[ 4, 25, 39, 40, 49, 51, 52, 57, 68, 74, 79 ]
[ "(((79+40)-(49-39))+(51-4))", "((68+39)+49)", "(((68-40)-25)*52)", "((25+74)+57)" ]
3,421
156
[ 2, 25, 29, 33, 44, 50, 52, 66, 81, 87, 94 ]
[ "(((50+44)+29)+33)", "(2+(81+(29+44)))", "(87*(52/29))", "(((94+25)-29)+66)" ]
3,422
156
[ 3, 4, 11, 12, 27, 28, 36, 47, 48, 57, 58, 61, 80, 84, 93 ]
[ "(48+(27*4))", "(93+(28+((36+57)-58)))", "((((61*3)-28)+12)-11)", "((84+11)+((80-47)+28))" ]
3,423
156
[ 1, 29, 34, 35, 38, 45, 67, 70, 72, 78, 90, 94, 95 ]
[ "(34+((67+90)-35))", "(90+((95-67)+38))", "(1/((45/78)/90))", "((29+(94-72))+(35+70))" ]
3,424
156
[ 9, 10, 13, 14, 21, 29, 39, 46, 50, 56, 74, 76, 92 ]
[ "((74+92)-10)", "((13-(46-92))-(29-(9*14)))", "((56/14)*39)", "((50+76)+(21+9))" ]
3,425
156
[ 1, 6, 9, 11, 16, 17, 21, 23, 24, 49, 59, 64, 71, 73, 86, 87, 98 ]
[ "(59+(17+(64+16)))", "((73-(21-98))+6)", "(1*(87+((9+11)+49)))", "(((71-24)+86)+23)" ]
3,426
157
[ 2, 13, 27, 38, 53, 67, 77, 92 ]
[ "(67-(2-92))", "((67+77)+13)", "((77+27)+53)", "(27+(38+92))" ]
3,427
157
[ 16, 23, 40, 56, 58, 61, 83, 85, 89 ]
[ "(58+(16+83))", "(16+(85+56))", "((61+40)+56)", "((61+(89-16))+23)" ]
3,428
157
[ 6, 14, 40, 44, 46, 54, 73, 97 ]
[ "(44+(40+73))", "(73+(14*6))", "((6+54)+97)", "(14+(46+97))" ]
3,429
157
[ 10, 23, 24, 52, 56, 72, 78, 82, 89, 91 ]
[ "((89+(10-24))+82)", "(91+(56+10))", "((56+78)+23)", "(10+(72+(52+23)))" ]
3,430
157
[ 5, 11, 12, 37, 65, 66, 80, 86, 93, 96, 98 ]
[ "((37+80)-((65-98)-(12-5)))", "((96+5)+(93-37))", "((11+80)+66)", "((5+86)+66)" ]
3,431
157
[ 11, 19, 21, 35, 44, 72, 74, 94, 95 ]
[ "(74+(94-11))", "(94+(19+44))", "((72-(44-94))+35)", "((11+(95-21))+72)" ]
3,432
157
[ 4, 17, 23, 35, 50, 54, 67, 72, 86, 99 ]
[ "(54+((72-86)+(67+50)))", "((54+86)+17)", "(4+(54+99))", "((35+23)+99)" ]
3,433
157
[ 4, 27, 31, 33, 36, 39, 62, 65, 88 ]
[ "((4+88)+65)", "((31+65)+(88-27))", "(((33+39)+27)+(62-4))", "((33+36)+88)" ]
3,434
157
[ 1, 18, 20, 41, 53, 59, 78, 86, 98 ]
[ "(59+(98/1))", "((20+59)+78)", "(41+(18+98))", "(86+(18+53))" ]
3,435
157
[ 1, 9, 17, 25, 46, 58, 85, 86, 94, 96, 97 ]
[ "((85+(46+17))+(9*1))", "(86+((1*46)+25))", "(85+(97-25))", "(((25+96)-(58/1))+94)" ]
3,436
157
[ 11, 30, 34, 52, 63, 71, 83, 86, 92 ]
[ "((86-11)+(52+30))", "(71+(52+34))", "((83+(92+34))-52)", "((83+63)+11)" ]
3,437
157
[ 6, 13, 45, 46, 48, 54, 63, 64, 68, 83, 92 ]
[ "(46+(83-(64-92)))", "((45-64)+(54+(13+(46+63))))", "((46+63)+48)", "((83+6)+68)" ]
3,438
157
[ 2, 14, 17, 22, 25, 33, 37, 48, 58, 69, 81, 82, 95 ]
[ "(((58+82)-17)-((22+25)-81))", "(95+(25+37))", "((69+82)-((33-37)-2))", "((95+48)+14)" ]
3,439
157
[ 6, 7, 34, 54, 61, 69, 76, 80, 89, 92, 94, 100 ]
[ "((7-76)+(92+(34+100)))", "(((54*80)+76)/(34-6))", "((61+89)+7)", "(69-(6-94))" ]
3,440
157
[ 1, 8, 18, 62, 63, 73, 76, 81, 87 ]
[ "((8+76)+73)", "((87+8)+62)", "(76+(63+18))", "((81+76)/1)" ]
3,441
157
[ 11, 22, 26, 45, 50, 56, 70, 86, 90, 93 ]
[ "(((26+70)+11)+50)", "((56+11)+90)", "((90+22)+45)", "(86-(22-93))" ]
3,442
157
[ 12, 21, 31, 36, 39, 40, 91, 96, 97, 99 ]
[ "((99+40)+(21-(36/12)))", "((40+21)+96)", "((21+39)+97)", "(97+(91-31))" ]
3,443
157
[ 9, 10, 18, 21, 23, 26, 52, 58, 69, 71, 100 ]
[ "((10+69)+(52+26))", "(26+((71-9)+69))", "(((9*21)+26)-58)", "((26+((23+18)-10))+100)" ]
3,444
157
[ 4, 19, 31, 42, 48, 52, 54, 72, 78, 82, 84, 96, 97 ]
[ "((78+82)+((72-52)-(19+4)))", "(19+(42+96))", "(78+(31+48))", "((97+(54+84))-78)" ]
3,445
157
[ 9, 20, 35, 42, 43, 51, 54, 60, 86, 100 ]
[ "((54+(9+43))+51)", "(54+(43+60))", "((51+20)+86)", "(100+(42+(35-20)))" ]
3,446
157
[ 12, 16, 23, 26, 57, 67, 71, 74, 75, 89 ]
[ "((57+74)+26)", "(74+(67+16))", "((74+12)+71)", "(89+(16+(75-23)))" ]
3,447
157
[ 13, 15, 21, 31, 34, 35, 46, 50, 55, 66, 76, 79, 84, 94 ]
[ "((79+(66-34))+46)", "((55+(50+(21-35)))+66)", "(13+((35-31)*(21+15)))", "((94+55)+(84-76))" ]
3,448
157
[ 2, 8, 11, 19, 37, 44, 55, 56, 61, 73, 87, 89, 91, 97, 99 ]
[ "(((99+55)-(11*8))+91)", "((99+56)+2)", "(((89-97)+37)+(73+55))", "((87+((37+61)-91))+(19+44))" ]
3,449
157
[ 10, 14, 19, 27, 29, 33, 41, 49, 54, 63, 64, 65, 67, 68, 72, 87, 93, 95 ]
[ "((54+67)-((49-93)+(41-33)))", "((68-(64-72))+(95-14))", "((87+27)+(72-29))", "(63+((10+19)+65))" ]
3,450
157
[ 1, 3, 7, 9, 17, 21, 28, 30, 37, 43, 48, 53, 57, 86, 90 ]
[ "((90+30)+37)", "(((57*(3/1))+9)+(7-30))", "(((86+21)-3)+53)", "((28*(48-43))+17)" ]
3,451
158
[ 3, 10, 22, 26, 44, 66, 70, 85, 89 ]
[ "((70+66)+22)", "(85+(70+3))", "(26+(3*44))", "((10+85)-(26-89))" ]
3,452
158
[ 4, 34, 38, 41, 45, 47, 71, 79, 95 ]
[ "(79/(71/(47+95)))", "(79+(41+38))", "((79+41)+(34+4))", "((79+45)+34)" ]
3,453
158
[ 21, 24, 29, 35, 37, 48, 62, 72, 78, 86 ]
[ "(24+(72+62))", "(((48+(72/24))+29)+78)", "((24+21)+(35+78))", "((86+35)+37)" ]
3,454
158
[ 4, 7, 8, 10, 68, 74, 80, 88, 92 ]
[ "((74-8)+92)", "((80+4)+74)", "((80+10)+68)", "(88+(7*10))" ]
3,455
158
[ 12, 25, 27, 37, 47, 89, 94, 96, 99 ]
[ "((94+89)-25)", "(37+(27+94))", "(99-(37-96))", "((99+12)+47)" ]
3,456
158
[ 3, 39, 40, 42, 76, 77, 78, 79 ]
[ "((42+39)+77)", "(40+(76+42))", "((79+76)+3)", "((78*79)/39)" ]
3,457
158
[ 14, 17, 38, 61, 62, 64, 70, 77, 78, 83, 95 ]
[ "(14+(83+61))", "(95-(14-77))", "((62-64)+(77+83))", "(((95+78)-38)-((64-70)-17))" ]
3,458
158
[ 5, 10, 41, 46, 67, 72, 73, 81, 95 ]
[ "((73+(72-(95-67)))+41)", "((95-10)+73)", "(81+(41+(46-10)))", "((72+81)+5)" ]
3,459
158
[ 2, 26, 28, 45, 51, 79, 81, 85, 87 ]
[ "((85+45)+28)", "(28+(51+79))", "(81-(2-79))", "((26+87)+45)" ]
3,460
158
[ 3, 19, 29, 31, 41, 63, 87, 98, 100 ]
[ "(98+(31+29))", "((87-29)+100)", "(19+(98+41))", "(98+(63-3))" ]
3,461
158
[ 7, 18, 23, 52, 59, 60, 65, 70, 86, 87, 91 ]
[ "((18+60)+(87-(59-52)))", "((91+7)+60)", "((86+7)+65)", "(23+(65+70))" ]
3,462
158
[ 13, 16, 21, 28, 41, 82, 85, 89, 94 ]
[ "(89-(13-82))", "(89-(16-85))", "((28+41)+89)", "(85-(21-94))" ]
3,463
158
[ 11, 12, 19, 27, 30, 38, 47, 55, 70, 72, 74, 75 ]
[ "((((38*55)+47)+19)-(27*74))", "(12+(74+72))", "(75+(72+11))", "((30+(11+47))+70)" ]
3,464
158
[ 5, 10, 11, 25, 37, 38, 41, 43, 52, 57, 66, 84, 90, 92 ]
[ "((11+38)+(43+66))", "((25+(92+52))-11)", "((90+37)-((66-5)-92))", "(10+(((37-57)+(84+43))+41))" ]
3,465
158
[ 1, 2, 12, 26, 29, 50, 69, 70, 77, 88 ]
[ "(69+(12+77))", "(1+(88+69))", "((77*2)+((1-26)+29))", "((70+50)+(26+12))" ]
3,466
158
[ 9, 25, 30, 36, 44, 49, 53, 61, 71, 79, 81 ]
[ "((25+81)-(9-61))", "((36+(81-30))+71)", "(((25+44)+53)+36)", "(49+(30+79))" ]
3,467
158
[ 1, 2, 19, 35, 39, 48, 54, 56, 62, 70, 75, 83, 97 ]
[ "(((2*70)+39)-(56-35))", "(((2*35)+(48+(75-54)))+19)", "((75*1)+83)", "((97+62)-1)" ]
3,468
158
[ 2, 5, 12, 14, 15, 32, 36, 39, 42, 58, 68, 71, 76, 94, 97 ]
[ "(71+((39-68)-((14-36)-94)))", "(68+(58+32))", "(((76+5)-(15-14))+(42+36))", "(76+(((97+12)-68)*2))" ]
3,469
158
[ 4, 9, 31, 34, 44, 48, 57, 66, 67, 72, 90 ]
[ "((72+90)-4)", "((67*44)-(31*90))", "((66+48)+((4+31)+9))", "((34+67)+57)" ]
3,470
158
[ 8, 10, 12, 20, 23, 39, 50, 53, 84, 93, 97, 98 ]
[ "(((84+8)+(93+20))-(97-50))", "(97-(23-84))", "((12+53)+93)", "((39-((10-84)-98))-53)" ]
3,471
158
[ 6, 14, 18, 37, 50, 59, 68, 72, 73, 79, 81, 99 ]
[ "(((18-14)+81)+73)", "((79+73)+6)", "((50+81)-(72-99))", "((59+(68+37))-6)" ]
3,472
158
[ 2, 20, 29, 31, 37, 49, 53, 54, 59, 67, 70, 71, 88 ]
[ "((20+71)+67)", "(49/((20+29)/(88+70)))", "((53+88)+(54-37))", "(2*((88-31)+(59-37)))" ]
3,473
158
[ 7, 11, 23, 32, 33, 43, 53, 61, 69, 78, 83, 85, 90, 96 ]
[ "(53+((43-7)+69))", "(96+((83-32)+11))", "((23+85)-(33-83))", "(85+((90-78)+61))" ]
3,474
158
[ 1, 10, 11, 14, 28, 34, 45, 47, 49, 60, 76, 78, 84, 95, 98, 99 ]
[ "((47-10)+(45+76))", "(1*(78-((49-95)-34)))", "((14+60)+(84*1))", "(((99-11)-28)+98)" ]
3,475
158
[ 4, 5, 11, 12, 18, 19, 25, 28, 29, 30, 42, 73, 75, 77, 86, 93 ]
[ "((19+73)-(11-77))", "((86+30)+42)", "(86+((75-28)+25))", "(((29*18)+(93+(5+12)))/4)" ]
3,476
159
[ 10, 12, 15, 19, 48, 64, 83, 91, 98 ]
[ "(91+(83-15))", "((12+64)+83)", "((83+(98-12))-10)", "(((48*19)/12)+83)" ]
3,477
159
[ 4, 28, 32, 45, 47, 54, 60, 66, 80, 88, 97 ]
[ "((97-80)+((54+60)+28))", "((4*28)+47)", "(97+(66-4))", "((45+60)+((88-66)+32))" ]
3,478
159
[ 2, 3, 25, 27, 30, 31, 54, 56, 75, 82 ]
[ "((82+75)+2)", "((82+(75-(31-30)))+3)", "((54+75)+30)", "(25+((54+27)-(3-56)))" ]
3,479
159
[ 9, 17, 25, 37, 46, 47, 63, 70, 87 ]
[ "(9+(63+87))", "(46-((37-87)-63))", "((87+25)+47)", "((47+70)+(25+17))" ]
3,480
159
[ 16, 23, 27, 31, 59, 62, 66, 68, 71, 73, 81, 100 ]
[ "(((59+100)*(23-73))/(31-81))", "(((31+73)+71)-16)", "(68-(((66-27)-59)-71))", "(62+(66+31))" ]
3,481
159
[ 19, 32, 33, 41, 47, 64, 66, 71, 75, 84, 94 ]
[ "((66+(19+33))+41)", "((71+47)+41)", "((84+94)-19)", "((((41+94)+75)-(19+64))+32)" ]
3,482
159
[ 2, 4, 32, 43, 68, 73, 84, 90, 95 ]
[ "(73+(2*43))", "((84+32)+43)", "(73+(90-4))", "(68+(95-4))" ]
3,483
159
[ 14, 15, 16, 20, 32, 41, 44, 53, 55, 62, 86, 100 ]
[ "(((55+100)+16)-((15+41)-44))", "((44+53)+62)", "((86+53)+20)", "((32+55)+(86-14))" ]
3,484
159
[ 17, 21, 24, 37, 58, 62, 77, 86, 90, 98 ]
[ "((77+21)+(98-37))", "((37+77)-(17-62))", "((90+86)-17)", "(24+(77+58))" ]
3,485
159
[ 5, 18, 61, 65, 77, 80, 84, 99, 100 ]
[ "(100-(18-77))", "((80+61)+18)", "(84-(5-80))", "(65+(99-5))" ]
3,486
159
[ 8, 19, 29, 30, 48, 50, 53, 58, 60, 87 ]
[ "((87+19)+53)", "(48+(58+53))", "((60*(29/30))+(48+53))", "(((30+87)-8)+50)" ]
3,487
159
[ 4, 5, 9, 14, 21, 25, 37, 38, 81, 85, 89, 95, 99 ]
[ "((((37-9)/38)*95)+(85+4))", "((85-25)+99)", "(((14-38)-(5-89))+99)", "(5+((38+14)+(21+81)))" ]
3,488
159
[ 34, 45, 50, 51, 60, 65, 75, 89, 90, 93 ]
[ "(93+(60+((45+50)-89)))", "(60+(65+34))", "(75+(50+34))", "(51+(93+(90-75)))" ]
3,489
159
[ 16, 18, 22, 32, 45, 56, 58, 71, 81, 96, 97 ]
[ "(56+(58+45))", "((22+81)+56)", "(((96/16)+56)+97)", "((71+(22+18))+(16+32))" ]
3,490
159
[ 11, 13, 38, 42, 43, 52, 70, 74, 78, 86, 89 ]
[ "((43+78)+38)", "((43+74)+42)", "(11+(70+78))", "(((11-52)+((89+38)+86))-13)" ]
3,491
159
[ 1, 25, 27, 32, 35, 42, 52, 66, 68, 83, 96, 99, 100 ]
[ "((96-27)-(((35-83)-42)*1))", "(96+(27-(32-68)))", "(((66+83)+52)-42)", "(100+(25-((66-1)-99)))" ]
3,492
159
[ 10, 20, 32, 34, 41, 48, 52, 54, 55, 69, 77, 79 ]
[ "((77-20)+(48+54))", "((79-(52-55))+77)", "(((54+52)/34)*(10+41))", "(69-((32-41)*10))" ]
3,493
159
[ 5, 10, 19, 24, 35, 37, 45, 62, 86, 87, 92 ]
[ "(24+((92+45)-(37-35)))", "((86-19)+92)", "((5+62)+92)", "(10+(62+87))" ]
3,494
159
[ 1, 6, 11, 39, 70, 75, 82, 85, 88 ]
[ "((75-1)+85)", "((39*6)-75)", "((1+70)+88)", "(88+(82-11))" ]
3,495
159
[ 2, 13, 22, 23, 33, 39, 40, 44, 64, 68, 78, 88, 97, 99 ]
[ "(44+((40-(39/13))+78))", "(23-(((88-(44+68))-13)-99))", "((88+22)+(((78+2)-64)+33))", "((64+97)-2)" ]
3,496
159
[ 14, 25, 30, 35, 41, 44, 46, 82, 85, 88, 91 ]
[ "((82+(46+41))-(35-25))", "(30+(41+88))", "(91+(82-14))", "((85+44)+30)" ]
3,497
159
[ 2, 7, 11, 14, 16, 24, 40, 58, 59, 65, 81, 97, 99 ]
[ "(((24-11)+65)+81)", "((59-(11-14))+97)", "((16+(59+40))-(14-58))", "((2+65)-(7-99))" ]
3,498
159
[ 5, 8, 13, 17, 51, 53, 57, 71, 79, 89, 94, 98 ]
[ "(53*(51/17))", "(((5+79)+98)-(94-71))", "(57+(94+8))", "((89+57)+13)" ]
3,499
159
[ 7, 10, 32, 34, 42, 45, 58, 61, 65, 66, 69, 79, 89, 90 ]
[ "(89+(69-(65-66)))", "((32+66)-(7-(58+10)))", "((45+79)-(7-42))", "(61+((42+90)-34))" ]
3,500
159
[ 1, 16, 21, 24, 32, 43, 54, 57, 60, 76, 77, 79, 83, 84, 92, 93, 95, 96, 100 ]
[ "(43+((60-1)+57))", "((76+((95+57)-77))-(84-92))", "((100+96)+(54+((32/16)-93)))", "(83+((21-24)+79))" ]