task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:repeated-division | n=151,base=4 | DIV:151/4=37,r:3 ; DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2113 |
multidigit_addition | multidigit_addition:right-to-left-carry | 988+926 | d2:8+6+0=14→w4,c1 ; d1:8+2+1=11→w1,c1 ; d0:9+9+1=19→w9,c1 ; sum=1914 |
base_conversion | base_conversion:via-binary | n=34,base=8 | BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:2 ; OUT:42 |
multidigit_addition | multidigit_addition:left-to-right-partials | 614+967 | p100:600+900=1500 ; p10:10+60=70 ; p1:4+7=11 ; sum=1500+70+11=1581 |
base_conversion | base_conversion:repeated-division | n=247,base=2 | DIV:247/2=123,r:1 ; DIV:123/2=61,r:1 ; DIV:61/2=30,r:1 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11110111 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 3, 7, 8, 2 | [3,5,7,8,2] ; [3,5,7,8,2] ; [3,5,7,8,2] ; [2,3,5,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(5,2) | D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 409+179 | round:410+179=589 ; adjust:589-1=588 ; sum=588 |
base_conversion | base_conversion:decomposition | n=130,base=16 | TERM:8*16^1=128 ; TERM:2*16^0=2 ; OUT:82 |
base_conversion | base_conversion:repeated-division | n=233,base=16 | DIV:233/16=14,r:9 ; DIV:14/16=0,r:14 ; OUT:E9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(5,5) | R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 4, 0, 8, 0 | 8+0=8 ; 0+8=8 ; 4+8=12 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 6, 2, 8, 5 | [0,6,2,8,5] ; [0,2,6,8,5] ; [0,2,5,8,6] ; [0,2,5,6,8] |
base_conversion | base_conversion:repeated-division | n=253,base=8 | DIV:253/8=31,r:5 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:375 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=56 | 8x+8=56 ; x+1=7 ; x=7-1 ; x=6 |
list_summation | list_summation:left-to-right | 9, 6, 2, 8 | 9+6=15 ; 15+2=17 ; 17+8=25 |
list_summation | list_summation:right-to-left | 8, 2, 7, 8 | 7+8=15 ; 2+15=17 ; 8+17=25 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 2, 7, 4, 0 | [2,5,7,4,0] ; [2,5,4,7,0] ; [2,5,4,0,7] ; [2,4,5,0,7] ; [2,4,0,5,7] ; [2,0,4,5,7] ; [0,2,4,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 153+893 | round:160+893=1053 ; adjust:1053-7=1046 ; sum=1046 |
list_summation | list_summation:left-to-right | 8, 6, 4, 5 | 8+6=14 ; 14+4=18 ; 18+5=23 |
multidigit_addition | multidigit_addition:right-to-left-carry | 405+860 | d2:5+0+0=5→w5,c0 ; d1:0+6+0=6→w6,c0 ; d0:4+8+0=12→w2,c1 ; sum=1265 |
multidigit_addition | multidigit_addition:rounding-decomposition | 406+526 | round:410+526=936 ; adjust:936-4=932 ; sum=932 |
multidigit_addition | multidigit_addition:left-to-right-partials | 860+948 | p100:800+900=1700 ; p10:60+40=100 ; p1:0+8=8 ; sum=1700+100+8=1808 |
list_summation | list_summation:right-to-left | 3, 2, 0, 3 | 0+3=3 ; 2+3=5 ; 3+5=8 |
base_conversion | base_conversion:via-binary | n=8,base=2 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:1000 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=-28 | 4x+4=-28 ; x+1=-7 ; x=-7-1 ; x=-8 |
list_summation | list_summation:left-to-right | 2, 2, 3, 9 | 2+2=4 ; 4+3=7 ; 7+9=16 |
list_summation | list_summation:left-to-right | 1, 3, 0, 6 | 1+3=4 ; 4+0=4 ; 4+6=10 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+63=70 | 7x+63=70 ; x=(70-63)/7 ; x=7/7 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=36 | 2x+18=36 ; 2x=18 ; x=9 |
list_summation | list_summation:right-to-left | 6, 6, 2, 0 | 2+0=2 ; 6+2=8 ; 6+8=14 |
base_conversion | base_conversion:decomposition | n=110,base=16 | TERM:6*16^1=96 ; TERM:14*16^0=14 ; OUT:6E |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
list_summation | list_summation:pairwise | 5, 9, 5, 0 | 5+9=14 ; 5+0=5 ; 14+5=19 |
base_conversion | base_conversion:decomposition | n=88,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1011000 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(4,3) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) |
base_conversion | base_conversion:via-binary | n=141,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:13 ; OUT:8D |
base_conversion | base_conversion:via-binary | n=38,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:212 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,4) | R:(0,3) ; D:(1,3) ; R:(1,4) |
list_summation | list_summation:pairwise | 1, 3, 1, 0 | 1+3=4 ; 1+0=1 ; 4+1=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 802+530 | d2:2+0+0=2→w2,c0 ; d1:0+3+0=3→w3,c0 ; d0:8+5+0=13→w3,c1 ; sum=1332 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 4, 6, 1 | [3,7,4,6,1] ; [3,4,7,6,1] ; [3,4,6,7,1] ; [3,4,6,1,7] ; [3,4,1,6,7] ; [3,1,4,6,7] ; [1,3,4,6,7] |
base_conversion | base_conversion:via-binary | n=98,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:2 ; OUT:142 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 987+896 | round:990+896=1886 ; adjust:1886-3=1883 ; sum=1883 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=-88 | 8x-24=-88 ; x=(-88--24)/8 ; x=-64/8 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=15 | 5x+25=15 ; 5x=-10 ; x=-2 |
list_summation | list_summation:right-to-left | 4, 6, 4, 6 | 4+6=10 ; 6+10=16 ; 4+16=20 |
list_summation | list_summation:pairwise | 4, 5, 1, 0 | 4+5=9 ; 1+0=1 ; 9+1=10 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+36=52 | 4x+36=52 ; x+9=13 ; x=13-9 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 324+631 | d2:4+1+0=5→w5,c0 ; d1:2+3+0=5→w5,c0 ; d0:3+6+0=9→w9,c0 ; sum=955 |
multidigit_addition | multidigit_addition:right-to-left-carry | 449+452 | d2:9+2+0=11→w1,c1 ; d1:4+5+1=10→w0,c1 ; d0:4+4+1=9→w9,c0 ; sum=901 |
list_summation | list_summation:pairwise | 2, 5, 5, 4 | 2+5=7 ; 5+4=9 ; 7+9=16 |
list_summation | list_summation:pairwise | 9, 3, 0, 9 | 9+3=12 ; 0+9=9 ; 12+9=21 |
base_conversion | base_conversion:via-binary | n=234,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11101010 |
list_summation | list_summation:right-to-left | 8, 2, 6, 5 | 6+5=11 ; 2+11=13 ; 8+13=21 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 4, 9, 8 | [3,5,4,9,8] ; [3,4,5,9,8] ; [3,4,5,8,9] |
base_conversion | base_conversion:decomposition | n=52,base=8 | TERM:6*8^1=48 ; TERM:4*8^0=4 ; OUT:64 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,3) | D:(3,2) ; D:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-63=9 | 9x-63=9 ; x=(9--63)/9 ; x=72/9 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=136 | 8x+72=136 ; 8x=64 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,4) | D:(3,2) ; R:(3,3) ; R:(3,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 717+489 | d2:7+9+0=16→w6,c1 ; d1:1+8+1=10→w0,c1 ; d0:7+4+1=12→w2,c1 ; sum=1206 |
base_conversion | base_conversion:decomposition | n=174,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10101110 |
list_summation | list_summation:left-to-right | 6, 1, 1, 3 | 6+1=7 ; 7+1=8 ; 8+3=11 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-28=-28 | 4x-28=-28 ; x=(-28--28)/4 ; x=0/4 ; x=0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 720+810 | d2:0+0+0=0→w0,c0 ; d1:2+1+0=3→w3,c0 ; d0:7+8+0=15→w5,c1 ; sum=1530 |
base_conversion | base_conversion:repeated-division | n=221,base=4 | DIV:221/4=55,r:1 ; DIV:55/4=13,r:3 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3131 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 4, 9, 7, 3 | [0,4,9,7,3] ; [0,3,9,7,4] ; [0,3,4,7,9] ; [0,3,4,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-25=-50 | 5x-25=-50 ; 5x=-25 ; x=-5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-18=9 | 9x-18=9 ; 9x=27 ; x=3 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 7, 1, 8 | [3,9,7,1,8] ; [3,9,1,7,8] ; [1,3,7,9,8] ; [1,3,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=6 | 3x-21=6 ; x=(6--21)/3 ; x=27/3 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-45 | 9x-72=-45 ; x+-8=-5 ; x=-5--8 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,5) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=36 | 3x+12=36 ; x=(36-12)/3 ; x=24/3 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 169+328 | d2:9+8+0=17→w7,c1 ; d1:6+2+1=9→w9,c0 ; d0:1+3+0=4→w4,c0 ; sum=497 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-72=-128 | 8x-72=-128 ; 8x=-56 ; x=-7 |
base_conversion | base_conversion:repeated-division | n=94,base=4 | DIV:94/4=23,r:2 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1132 |
list_summation | list_summation:pairwise | 5, 2, 5, 0 | 5+2=7 ; 5+0=5 ; 7+5=12 |
multidigit_addition | multidigit_addition:rounding-decomposition | 136+393 | round:140+393=533 ; adjust:533-4=529 ; sum=529 |
multidigit_addition | multidigit_addition:right-to-left-carry | 658+803 | d2:8+3+0=11→w1,c1 ; d1:5+0+1=6→w6,c0 ; d0:6+8+0=14→w4,c1 ; sum=1461 |
list_summation | list_summation:right-to-left | 5, 9, 8, 3 | 8+3=11 ; 9+11=20 ; 5+20=25 |
base_conversion | base_conversion:via-binary | n=98,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:1202 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=24 | 3x+0=24 ; x=(24-0)/3 ; x=24/3 ; x=8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 8, 3, 6 | [0,9,8,3,6] ; [0,8,9,3,6] ; [0,8,3,9,6] ; [0,8,3,6,9] ; [0,3,8,6,9] ; [0,3,6,8,9] |
list_summation | list_summation:right-to-left | 8, 4, 2, 3 | 2+3=5 ; 4+5=9 ; 8+9=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=24 | 2x+18=24 ; 2x=6 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=96,base=16 | TERM:6*16^1=96 ; TERM:0*16^0=0 ; OUT:60 |
multidigit_addition | multidigit_addition:left-to-right-partials | 639+515 | p100:600+500=1100 ; p10:30+10=40 ; p1:9+5=14 ; sum=1100+40+14=1154 |
base_conversion | base_conversion:repeated-division | n=255,base=4 | DIV:255/4=63,r:3 ; DIV:63/4=15,r:3 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3333 |
multidigit_addition | multidigit_addition:right-to-left-carry | 745+720 | d2:5+0+0=5→w5,c0 ; d1:4+2+0=6→w6,c0 ; d0:7+7+0=14→w4,c1 ; sum=1465 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+56=-7 | 7x+56=-7 ; 7x=-63 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=133,base=2 | DIV:133/2=66,r:1 ; DIV:66/2=33,r:0 ; DIV:33/2=16,r:1 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10000101 |
multidigit_addition | multidigit_addition:rounding-decomposition | 303+412 | round:310+412=722 ; adjust:722-7=715 ; sum=715 |
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