index
int64
target
int64
available_numbers
list
solutions
list
2,301
109
[ 1, 16, 23, 36, 37, 56, 70, 75, 91, 92 ]
[ "(56+(16+37))", "(23+(70+16))", "(75+(70-36))", "(36+(((91-92)+75)-1))" ]
2,302
109
[ 6, 11, 14, 45, 48, 50, 53 ]
[ "(11+(50+48))", "((53+45)+11)", "((50+14)+45)", "(6+(50+53))" ]
2,303
109
[ 5, 13, 15, 33, 36, 64, 81, 86, 87, 92 ]
[ "(86-(64-87))", "((86-13)+36)", "(((15+(81+5))+87)+(13-92))", "(33-(5-81))" ]
2,304
109
[ 5, 11, 17, 21, 34, 46, 52, 57, 63, 83 ]
[ "(17-((5-(52+11))-34))", "((11+46)+52)", "((21+5)+83)", "((57-11)+63)" ]
2,305
109
[ 2, 22, 39, 40, 45, 55, 63, 64, 67, 75, 78 ]
[ "((2*((78-(55+63))+75))+39)", "((64-55)+(22+78))", "(((39+40)+75)-45)", "((2+40)+67)" ]
2,306
109
[ 1, 12, 16, 31, 48, 58, 61, 72, 74, 84, 96, 99 ]
[ "(((99-74)+84)/1)", "(72-(74-(12+99)))", "((61*1)+48)", "((58+((99-96)+31))+(16+1))" ]
2,307
109
[ 18, 25, 28, 29, 35, 40, 56, 80, 84, 89, 94 ]
[ "((80-40)+(94-25))", "(56+(25+28))", "(18+(56+35))", "(40+(((29+35)+89)-84))" ]
2,308
109
[ 1, 3, 5, 33, 35, 37, 60, 73, 75 ]
[ "((3*(33-75))+((35*5)+60))", "(33+(73+3))", "(75+(1+33))", "((73-1)+37)" ]
2,309
109
[ 4, 13, 14, 21, 26, 40, 41, 54, 64, 65 ]
[ "((21*13)-(41*4))", "(64+(21+(65-41)))", "(((64-21)+26)+40)", "((41+54)+14)" ]
2,310
109
[ 2, 11, 16, 19, 41, 43, 59, 66, 73, 86, 87, 97 ]
[ "(41+(87-19))", "(87-((73+2)-97))", "((66+(43-86))-(11-97))", "(66-(16-59))" ]
2,311
109
[ 8, 14, 32, 34, 40, 47, 59, 63, 67, 76, 89 ]
[ "(((47-32)+89)+(59-(14+40)))", "(67-(47-89))", "((63+59)-(89-76))", "(59+((8-34)+76))" ]
2,312
109
[ 1, 4, 10, 22, 25, 27, 47, 52, 55, 63, 82, 92 ]
[ "(((4*55)-(22+63))+(1-27))", "((27+82)/((63-52)-10))", "(27+(92-10))", "((47-55)+(25+92))" ]
2,313
109
[ 23, 28, 39, 47, 58, 72, 80, 82, 95 ]
[ "((39+(80-82))+72)", "(47+(23+39))", "((72+95)-58)", "(28+(23+58))" ]
2,314
109
[ 5, 9, 16, 35, 63, 69, 81, 91, 95, 96, 100 ]
[ "(63-(35-81))", "((16*9)-35)", "(100-((95-96)*9))", "((5*(91-63))+(69-100))" ]
2,315
109
[ 29, 33, 47, 56, 58, 75, 82, 84, 92 ]
[ "(56+(82-29))", "((33+47)+29)", "((58+84)-33)", "(75+(92-58))" ]
2,316
109
[ 4, 12, 13, 17, 18, 32, 39, 44, 54, 60, 73, 76, 98 ]
[ "((76+(4-32))+(17+(98-54)))", "((54-39)+(18+76))", "(73+(32+((12+60)/18)))", "((44-13)+(60+18))" ]
2,317
109
[ 8, 14, 29, 37, 38, 66, 72, 75, 92 ]
[ "(29+(72+8))", "((72+66)-(37-8))", "(75+(72-38))", "(92-(72-(75+14)))" ]
2,318
109
[ 10, 12, 28, 39, 53, 68, 69, 85, 93 ]
[ "(12-((10-39)-68))", "(69+(68-28))", "((93-69)+85)", "((93+69)-53)" ]
2,319
109
[ 10, 18, 22, 23, 33, 36, 51, 53, 55, 65, 85 ]
[ "(18+((65-10)+36))", "(((53+36)-55)+(85-10))", "(51+(36+22))", "((53+33)+23)" ]
2,320
109
[ 15, 17, 20, 27, 31, 34, 46, 56, 65, 66, 85, 90 ]
[ "(65+((20-66)+90))", "((34+90)-15)", "(56+((85-17)-15))", "(31+((66-27)-(46-85)))" ]
2,321
109
[ 10, 16, 20, 24, 30, 44, 49, 56, 58, 63, 70, 74, 77, 79, 86 ]
[ "((20+63)-(44-70))", "(((86+10)+(74+16))-77)", "(58-((77-79)-49))", "((((24+56)-30)+49)+10)" ]
2,322
109
[ 21, 24, 27, 34, 37, 42, 43, 49, 55, 68, 79, 81, 84, 91 ]
[ "(27-((21+49)-(84+68)))", "((79-34)+(37+27))", "((84+43)+(24-42))", "((34+91)-(55+(42-81)))" ]
2,323
109
[ 1, 17, 30, 42, 43, 50, 55, 61, 68, 71, 89, 91 ]
[ "(89+((30-71)+61))", "(91+((30+43)-55))", "(91+(68-(50*1)))", "(50+(17+42))" ]
2,324
109
[ 5, 7, 8, 11, 13, 26, 45, 84, 85, 88 ]
[ "(13+(8+88))", "(88+(26-5))", "((13+11)+85)", "((45-13)-(7-84))" ]
2,325
109
[ 7, 8, 9, 12, 13, 17, 19, 21, 22, 24, 25, 28, 30, 31, 33, 42, 58, 59, 60, 64, 65, 89, 90 ]
[ "(13+(((31-28)+59)+(64-30)))", "(((89+60)-(24-42))-58)", "((90+(21-7))+(19-(22-8)))", "((65/((17-12)/9))-(33-25))" ]
2,326
110
[ 12, 14, 32, 36, 40, 53, 69, 81, 88 ]
[ "(88-(14-36))", "((40-(32-88))+14)", "((69-40)+81)", "((53-12)+69)" ]
2,327
110
[ 10, 15, 28, 33, 39, 46, 75, 78, 84, 88 ]
[ "((84-(88-39))+75)", "(10*(39-28))", "((15+(39+10))+46)", "((33/(78-75))*10)" ]
2,328
110
[ 2, 8, 24, 35, 46, 52, 56, 70, 77, 87, 99 ]
[ "(56+(46+8))", "(99+(46-35))", "((52+2)+56)", "(87+(((70+2)-24)-(77-52)))" ]
2,329
110
[ 6, 7, 9, 42, 50, 55, 62, 66, 95 ]
[ "((9-7)*55)", "(6+(95+9))", "((66-6)+50)", "((62+6)+42)" ]
2,330
110
[ 15, 20, 44, 58, 65, 72, 76, 82, 89, 92, 93 ]
[ "(72+((20-58)+76))", "((92+72)+(20-(89-15)))", "((82+72)-44)", "(82+(93-65))" ]
2,331
110
[ 2, 5, 13, 16, 81, 89, 91, 100 ]
[ "((13+16)+81)", "((89+5)+16)", "((5+91)-(2-16))", "((100+91)-81)" ]
2,332
110
[ 2, 10, 13, 21, 24, 58, 71, 76, 97 ]
[ "((71+24)+(2+13))", "(71-(58-97))", "(21+(13+76))", "((10+76)+24)" ]
2,333
110
[ 15, 20, 25, 26, 35, 38, 47, 65, 71 ]
[ "((65-26)+71)", "(25+(65+20))", "(25-(15-(65+35)))", "(47+(25+38))" ]
2,334
110
[ 1, 4, 11, 26, 30, 33, 40, 49, 76, 87 ]
[ "((33+76)+1)", "(((33-1)+40)-(49-87))", "(49-((26-11)-76))", "((30+76)+4)" ]
2,335
110
[ 11, 18, 29, 31, 34, 53, 54, 68, 74, 90 ]
[ "((53-31)*(90/18))", "(90+(74-54))", "((34-68)+(54+90))", "(18+((29-11)+74))" ]
2,336
110
[ 4, 9, 21, 32, 48, 57, 64, 85, 93 ]
[ "((32+21)+57)", "(21-(4-93))", "(4+(85+21))", "((85+9)+((48+32)-64))" ]
2,337
110
[ 16, 28, 40, 46, 48, 67, 79, 90, 98 ]
[ "(48+(90-28))", "(48+(16+46))", "((98+40)-28)", "(79-(67-98))" ]
2,338
110
[ 21, 29, 31, 39, 40, 45, 50, 62, 66, 77 ]
[ "((39-40)+(45+66))", "((39+21)+50)", "(29+(31+50))", "(62-(29-77))" ]
2,339
110
[ 8, 10, 14, 17, 23, 28, 42, 64, 66, 83, 84, 92 ]
[ "(83-((14-64)+23))", "(10+(83+17))", "((8*23)-(10-(28-92)))", "((10+42)-(92-(66+84)))" ]
2,340
110
[ 22, 30, 35, 38, 59, 75, 81, 86, 94 ]
[ "(59+(86-35))", "((94-59)+75)", "(38+(94-22))", "((81-30)+59)" ]
2,341
110
[ 4, 7, 23, 24, 38, 43, 48, 60, 65, 91 ]
[ "(24+(48+38))", "(60-(38-(23+65)))", "((23+91)-4)", "(7+(60+43))" ]
2,342
110
[ 2, 5, 12, 28, 32, 33, 39, 63, 83, 89 ]
[ "((89-12)+33)", "(12+((63*2)-28))", "(32+(39*2))", "(32-(5-83))" ]
2,343
110
[ 13, 20, 26, 43, 45, 54, 55, 75, 90 ]
[ "((26/13)*55)", "(54+(43+13))", "(90-(55-75))", "(90/(45/(75-20)))" ]
2,344
110
[ 9, 19, 24, 40, 43, 49, 55, 62, 63, 80, 81, 84, 89, 96 ]
[ "(((89+40)+43)-62)", "(((80+24)+49)-43)", "((9-43)+(63+81))", "((55-19)-(84-(96+62)))" ]
2,345
110
[ 2, 4, 6, 21, 26, 31, 57, 77, 83, 84, 86 ]
[ "(86-((77-83)*4))", "((83+6)+21)", "((((84/4)+57)+26)+6)", "(2+(77+31))" ]
2,346
110
[ 1, 7, 13, 19, 29, 45, 65, 88, 90 ]
[ "(88+(29-7))", "((7*13)+19)", "((19+90)+1)", "((65*1)+45)" ]
2,347
110
[ 1, 20, 32, 39, 42, 43, 60, 68, 72, 78, 93, 98, 100 ]
[ "((78+100)-68)", "(39+(((60*93)-42)/78))", "((42+72)+((1-98)+93))", "(((78-32)+43)+(20+1))" ]
2,348
110
[ 9, 11, 14, 22, 25, 32, 46, 55, 59, 61, 67, 71, 77, 99 ]
[ "(99+((71-59)-(46/(32+14))))", "((11+32)+67)", "((55-77)+(61+71))", "((61+25)+((22-9)+11))" ]
2,349
110
[ 2, 3, 9, 11, 25, 31, 35, 37, 38, 40, 47, 50, 54, 64, 65, 72, 82, 86, 91, 97 ]
[ "((54*(3+47))-(35*(9+65)))", "((37+97)+(3-(40+(25-38))))", "(37-(((82-86)-50)+(72-91)))", "(((86-(11-64))+2)-31)" ]
2,350
110
[ 5, 30, 39, 41, 44, 60, 64, 75, 76, 94 ]
[ "(94-(60-76))", "(39+(76-5))", "((41+5)+64)", "(75/(30/44))" ]
2,351
111
[ 3, 6, 13, 19, 41, 44, 51, 86, 95 ]
[ "((6+86)+19)", "(19+(51+41))", "(((51-3)+44)+19)", "(3+(95+13))" ]
2,352
111
[ 1, 2, 28, 30, 43, 72, 81, 84 ]
[ "(1*(30+81))", "(((1-43)+81)+72)", "(84+(28-1))", "((28+81)+2)" ]
2,353
111
[ 1, 11, 33, 42, 55, 58, 67, 74, 79 ]
[ "(67-(11-55))", "(((11+33)+67)*1)", "((11+42)+58)", "(74+(79-42))" ]
2,354
111
[ 15, 21, 22, 24, 39, 41, 48, 50, 57, 75 ]
[ "(15+(57+39))", "(22+(39+50))", "(24+(48+39))", "((((75+22)+41)+21)-48)" ]
2,355
111
[ 3, 12, 20, 31, 40, 74, 75, 77, 100 ]
[ "((100+20)-(12-3))", "((3*12)+75)", "((40+74)-3)", "(31+(77+3))" ]
2,356
111
[ 7, 11, 16, 21, 27, 83, 84, 95 ]
[ "(27+(95-11))", "((95-16)+(21+11))", "(11+(16+84))", "(7+(83+21))" ]
2,357
111
[ 56, 59, 76, 77, 79, 91, 93, 94 ]
[ "(91-(56-76))", "((93+94)-76)", "((77+93)-59)", "((91-59)+79)" ]
2,358
111
[ 1, 3, 11, 14, 17, 26, 29, 66, 69, 71, 84, 85 ]
[ "(11-(14-(85+29)))", "((14+26)+71)", "(((((69-29)-17)+71)+14)+3)", "((84-26)+((66+1)-14))" ]
2,359
111
[ 18, 29, 34, 35, 48, 50, 63, 66, 98 ]
[ "(98+(63-50))", "(66-(18-63))", "(98+(48-35))", "(29+(34+48))" ]
2,360
111
[ 5, 8, 24, 29, 32, 34, 45, 61, 95 ]
[ "(((45+(29+24))+8)+5)", "(45+(61+5))", "((61-45)+95)", "((32+45)+34)" ]
2,361
111
[ 4, 27, 28, 34, 38, 39, 41, 45, 55, 60, 85, 86, 100 ]
[ "((38-(((60-34)-41)+28))+86)", "((28+38)+45)", "(((27-39)*4)+(45+(86+28)))", "((45-(85+4))+(55+100))" ]
2,362
111
[ 10, 17, 19, 34, 40, 42, 52, 58, 63 ]
[ "((19+40)+(42+10))", "((40+34)*(63/42))", "(34+(19+58))", "(17+(42+52))" ]
2,363
111
[ 13, 28, 41, 43, 70, 71, 74, 78, 80, 81 ]
[ "((43+70)+(78-80))", "((28+13)+70)", "(74+(78-41))", "(71-(41-81))" ]
2,364
111
[ 7, 11, 47, 53, 56, 57, 62, 64, 94 ]
[ "(47+(11+53))", "(57+(47+7))", "(94+(64-47))", "((56-7)+62)" ]
2,365
111
[ 7, 10, 21, 22, 36, 43, 57, 61, 62, 75, 85 ]
[ "(22+((75-7)+21))", "(62+(85+(21-57)))", "((85+36)-10)", "(61+((57-43)+36))" ]
2,366
111
[ 5, 23, 38, 47, 59, 83, 87, 90 ]
[ "((5+59)+47)", "(23+(5+83))", "((87-59)+83)", "((59+90)-38)" ]
2,367
111
[ 3, 8, 23, 51, 52, 55, 68, 71, 78, 80, 94, 100 ]
[ "((100+68)-(80-23))", "(68+(94-51))", "(52+(51+8))", "(55+((3+71)-(78-(52+8))))" ]
2,368
111
[ 10, 17, 19, 23, 29, 33, 38, 51, 77, 92 ]
[ "((51+77)-17)", "(33+(17+(38+23)))", "((38+92)-19)", "((92-10)+29)" ]
2,369
111
[ 1, 3, 9, 12, 16, 30, 36, 55, 62, 67, 73, 90, 96 ]
[ "(62+(55+(((1-73)+96)-30)))", "(96+((67-16)-36))", "((67*3)-90)", "((90+12)+9)" ]
2,370
111
[ 13, 22, 31, 45, 46, 52, 56, 59, 62, 70, 97 ]
[ "((13+(22+45))+31)", "(((62+45)+56)-52)", "(62+(46+(59-56)))", "((70-56)+97)" ]
2,371
111
[ 12, 15, 16, 28, 29, 37, 46, 47, 50, 53, 54, 91 ]
[ "((28+54)+29)", "((37+(29-46))+91)", "((46+12)+53)", "((54-(47+(15-16)))+(50+53))" ]
2,372
111
[ 3, 6, 10, 14, 19, 21, 25, 27, 28, 31, 41, 49, 55, 58, 69, 77, 95, 99 ]
[ "((6+95)+10)", "(((28+(58+99))-49)-25)", "(41+((69-25)+(14-(19-31))))", "(((77+55)-(3*21))-(27-69))" ]
2,373
111
[ 2, 4, 24, 35, 37, 42, 71, 72, 78, 94 ]
[ "((4+35)+72)", "(72+(78/2))", "(42+(71-2))", "((94-37)+(78-24))" ]
2,374
111
[ 24, 40, 43, 46, 54, 57, 61, 65, 67, 70, 82, 90, 92 ]
[ "((82+90)-61)", "(46+(40+(92-67)))", "(65+(70-24))", "(((65+57)+43)-54)" ]
2,375
111
[ 2, 3, 24, 32, 37, 38, 39, 53, 54, 63, 68, 72, 80, 81, 94, 96 ]
[ "(68-((53-24)-72))", "(81+((32+37)-39))", "((32-80)+(63+96))", "((3+54)-((2-94)+38))" ]
2,376
112
[ 1, 8, 19, 25, 40, 58, 59, 61, 70, 76, 79, 80 ]
[ "((59+61)-((19-(70-1))+58))", "(25-(1-(70-(58-76))))", "(79+(25+8))", "(((1*80)-8)+40)" ]
2,377
112
[ 18, 26, 28, 31, 41, 58, 71, 73, 88, 97 ]
[ "(((28+58)+97)-71)", "((97+41)-26)", "((88-73)+97)", "(31-((18-26)-73))" ]
2,378
112
[ 27, 54, 68, 80, 85, 95, 100 ]
[ "(80-(68-100))", "((80-68)+100)", "((95-68)+85)", "((54-27)+85)" ]
2,379
112
[ 14, 19, 20, 27, 39, 66, 78, 83, 88 ]
[ "(((20+27)-39)*14)", "((20+14)+78)", "((27+19)+66)", "((88+19)+(83-78))" ]
2,380
112
[ 4, 7, 20, 35, 48, 71, 76, 84 ]
[ "((71-35)+76)", "(4*(35-7))", "((48-20)*4)", "(84+(76-48))" ]
2,381
112
[ 4, 32, 33, 40, 53, 55, 60, 61, 67, 74, 84, 92 ]
[ "((61+((4-67)+74))+40)", "(((32+(33-55))+4)*(61-53))", "((53+92)-33)", "((84+60)-32)" ]
2,382
112
[ 5, 9, 16, 17, 20, 34, 48, 62, 67, 83, 94 ]
[ "(9+(83+20))", "((9-5)*(62-34))", "(34+(94-16))", "(16*((5-(17-67))-48))" ]
2,383
112
[ 1, 8, 11, 15, 23, 62, 65, 97, 100 ]
[ "((15+97)*1)", "(100+(11+1))", "(62+(65-15))", "((97+23)-8)" ]
2,384
112
[ 11, 16, 18, 24, 25, 32, 36, 40, 48, 59, 78, 80 ]
[ "((78+(24-59))-(11-80))", "((48+24)+40)", "(16-(24*(32-36)))", "((25-18)*16)" ]
2,385
112
[ 3, 16, 17, 23, 42, 47, 58, 61, 98 ]
[ "((17*3)+61)", "(98-(47-61))", "((47+42)+23)", "((23+47)-(16-58))" ]
2,386
112
[ 5, 16, 21, 27, 29, 37, 39, 41, 44, 53, 68 ]
[ "((29+39)+44)", "(27+(44+41))", "(((39+53)+16)+(41-37))", "(21+(68-((5-44)+16)))" ]
2,387
112
[ 9, 17, 18, 28, 38, 42, 61, 82, 88, 92 ]
[ "(((61+88)-28)-9)", "((42-38)*28)", "(((82-17)+38)+9)", "(92+(38-18))" ]
2,388
112
[ 4, 10, 28, 43, 52, 57, 69, 70, 94 ]
[ "((70+28)+(57-43))", "((52+70)-10)", "((28-10)+94)", "(69+(57-(4+10)))" ]
2,389
112
[ 6, 12, 22, 38, 47, 48, 52, 54, 71, 78, 81 ]
[ "((((78+54)-38)+6)+12)", "(22+(48-(12-54)))", "((47+71)-6)", "(81-(52-(12+71)))" ]
2,390
112
[ 2, 14, 23, 36, 41, 54, 66, 67, 90, 94 ]
[ "((90+36)-14)", "(67+(14-(23-54)))", "((94+41)-23)", "((23*2)+66)" ]
2,391
112
[ 32, 50, 66, 69, 79, 91, 93, 96, 97, 100 ]
[ "((91+100)-79)", "((79+(32-96))+97)", "(66-(50-96))", "((93+69)-50)" ]
2,392
112
[ 12, 13, 15, 20, 38, 46, 51, 53, 56, 81, 89, 94 ]
[ "((53+13)+46)", "((94+46)/(15/12))", "(13+((38+81)-20))", "((94-(89-56))+51)" ]
2,393
112
[ 5, 10, 28, 29, 47, 50, 54, 55, 63, 74, 83, 93 ]
[ "(10+(47+55))", "((54+63)-(10-5))", "(((50+5)+28)+29)", "((28+74)+(93-83))" ]
2,394
112
[ 8, 18, 22, 26, 31, 35, 40, 41, 82, 85 ]
[ "(35-(31-(26+82)))", "((40+82)+(31-41))", "(22+((41+31)+18))", "((35-8)+85)" ]
2,395
112
[ 11, 24, 28, 35, 39, 62, 66, 84, 86, 88, 92, 99 ]
[ "(((99+11)-86)+88)", "(((86+35)+62)+(28-99))", "((86+92)-66)", "((84-35)+(24+39))" ]
2,396
112
[ 6, 21, 24, 25, 37, 52, 64, 70, 87, 89, 93 ]
[ "(6-((24-93)-37))", "(93+(89-70))", "((89+87)-64)", "((64+(21+52))-25)" ]
2,397
112
[ 2, 3, 5, 25, 27, 69, 82, 85, 88, 96, 98 ]
[ "(82+(27+3))", "(98+(96-82))", "((85-(69-(3+5)))+88)", "((85+25)+2)" ]
2,398
112
[ 2, 18, 35, 38, 45, 49, 57, 67, 69, 76, 77, 79, 80, 86, 89, 96 ]
[ "((49+45)+18)", "((80-(86-49))+(89+(76-96)))", "((35-(77/2))*(57-89))", "(((69*2)+79)-(38+67))" ]
2,399
112
[ 2, 13, 16, 20, 23, 24, 26, 29, 30, 31, 46, 55, 56, 60, 74, 78, 81, 84, 88 ]
[ "(((60-2)+(31+84))+(13-74))", "((16-30)-((46-84)-88))", "(((78-(55-81))+(56+26))-74)", "(56+((29+24)+(23-20)))" ]
2,400
112
[ 4, 7, 11, 35, 48, 51, 53, 63, 64, 65, 67, 68, 73, 75, 85, 87, 88, 90, 96 ]
[ "(90+((88-67)+(73-(68+4))))", "((85*(63/51))-(7/(64-65)))", "((((87+96)-75)-7)+11)", "((35+51)+((48+53)-75))" ]