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