task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 574+829 | round:580+829=1409 ; adjust:1409-6=1403 ; sum=1403 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:decomposition | n=23,base=8 | TERM:2*8^1=16 ; TERM:7*8^0=7 ; OUT:27 |
base_conversion | base_conversion:decomposition | n=218,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:3122 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 4, 8, 0 | [3,7,4,8,0] ; [3,4,7,8,0] ; [0,3,4,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+18=-6 | 6x+18=-6 ; x+3=-1 ; x=-1-3 ; x=-4 |
list_summation | list_summation:left-to-right | 9, 9, 8, 7 | 9+9=18 ; 18+8=26 ; 26+7=33 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 6, 8, 0, 5 | [0,6,8,1,5] ; [0,1,8,6,5] ; [0,1,5,6,8] ; [0,1,5,6,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 2, 3, 1, 7 | [1,2,3,9,7] ; [1,2,3,9,7] ; [1,2,3,9,7] ; [1,2,3,7,9] |
list_summation | list_summation:pairwise | 0, 5, 3, 9 | 0+5=5 ; 3+9=12 ; 5+12=17 |
base_conversion | base_conversion:repeated-division | n=244,base=16 | DIV:244/16=15,r:4 ; DIV:15/16=0,r:15 ; OUT:F4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 457+612 | p100:400+600=1000 ; p10:50+10=60 ; p1:7+2=9 ; sum=1000+60+9=1069 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:left-to-right | 9, 0, 2, 1 | 9+0=9 ; 9+2=11 ; 11+1=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 814+306 | p100:800+300=1100 ; p10:10+0=10 ; p1:4+6=10 ; sum=1100+10+10=1120 |
multidigit_addition | multidigit_addition:left-to-right-partials | 792+458 | p100:700+400=1100 ; p10:90+50=140 ; p1:2+8=10 ; sum=1100+140+10=1250 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,5) | D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 325+456 | round:330+456=786 ; adjust:786-5=781 ; sum=781 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 3, 2, 3, 0 | 3+0=3 ; 2+3=5 ; 3+5=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 292+469 | round:300+469=769 ; adjust:769-8=761 ; sum=761 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 4, 8, 1, 3 | [4,6,8,1,3] ; [4,6,8,1,3] ; [1,4,6,8,3] ; [1,3,4,6,8] |
list_summation | list_summation:right-to-left | 8, 2, 6, 4 | 6+4=10 ; 2+10=12 ; 8+12=20 |
list_summation | list_summation:right-to-left | 1, 9, 2, 0 | 2+0=2 ; 9+2=11 ; 1+11=12 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-16=-64 | 8x-16=-64 ; x+-2=-8 ; x=-8--2 ; x=-6 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 9, 7, 4 | [1,3,9,7,4] ; [1,3,9,7,4] ; [1,3,4,7,9] ; [1,3,4,7,9] |
base_conversion | base_conversion:decomposition | n=140,base=16 | TERM:8*16^1=128 ; TERM:12*16^0=12 ; OUT:8C |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 5, 3, 2, 9 | [5,8,3,2,9] ; [5,3,8,2,9] ; [5,3,2,8,9] ; [3,5,2,8,9] ; [3,2,5,8,9] ; [2,3,5,8,9] |
list_summation | list_summation:left-to-right | 4, 0, 0, 3 | 4+0=4 ; 4+0=4 ; 4+3=7 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 5, 1, 6 | [0,2,5,1,6] ; [0,2,1,5,6] ; [0,1,2,5,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-30 | 5x-45=-30 ; x+-9=-6 ; x=-6--9 ; x=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-24=0 | 6x-24=0 ; 6x=24 ; x=4 |
base_conversion | base_conversion:via-binary | n=207,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:3033 |
list_summation | list_summation:pairwise | 6, 5, 3, 9 | 6+5=11 ; 3+9=12 ; 11+12=23 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=193,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:1 ; OUT:C1 |
list_summation | list_summation:left-to-right | 3, 0, 4, 7 | 3+0=3 ; 3+4=7 ; 7+7=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-63=-144 | 9x-63=-144 ; x=(-144--63)/9 ; x=-81/9 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=14,base=4 | BINLEN:4 ; CHUNK:0:3 ; CHUNK:1:2 ; OUT:32 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 8, 9, 1 | [3,9,8,5,1] ; [9,3,8,5,1] ; [9,5,8,3,1] ; [1,5,8,3,9] ; [8,5,1,3,9] ; [3,5,1,8,9] ; [5,3,1,8,9] ; [1,3,5,8,9] ; [3,1,5,8,9] ; [1,3,5,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 618+681 | d2:8+1+0=9→w9,c0 ; d1:1+8+0=9→w9,c0 ; d0:6+6+0=12→w2,c1 ; sum=1299 |
multidigit_addition | multidigit_addition:right-to-left-carry | 782+687 | d2:2+7+0=9→w9,c0 ; d1:8+8+0=16→w6,c1 ; d0:7+6+1=14→w4,c1 ; sum=1469 |
base_conversion | base_conversion:decomposition | n=92,base=16 | TERM:5*16^1=80 ; TERM:12*16^0=12 ; OUT:5C |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=-14 | 2x-2=-14 ; 2x=-12 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-4=-4 | 2x-4=-4 ; x+-2=-2 ; x=-2--2 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=0 | 7x+0=0 ; 7x=0 ; x=0 |
list_summation | list_summation:left-to-right | 9, 9, 6, 6 | 9+9=18 ; 18+6=24 ; 24+6=30 |
list_summation | list_summation:left-to-right | 9, 5, 6, 5 | 9+5=14 ; 14+6=20 ; 20+5=25 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 2, 9, 8, 0 | [0,2,9,8,4] ; [0,2,9,8,4] ; [0,2,4,8,9] ; [0,2,4,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+21=7 | 7x+21=7 ; x=(7-21)/7 ; x=-14/7 ; x=-2 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 2, 0, 6, 5 | [0,2,9,6,5] ; [0,2,9,6,5] ; [0,2,5,6,9] ; [0,2,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 721+428 | round:730+428=1158 ; adjust:1158-9=1149 ; sum=1149 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 7, 8, 6, 5 | [3,7,6,8,5] ; [3,7,6,5,8] ; [3,6,7,5,8] ; [3,6,5,7,8] ; [3,5,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+45=60 | 5x+45=60 ; 5x=15 ; x=3 |
base_conversion | base_conversion:repeated-division | n=98,base=16 | DIV:98/16=6,r:2 ; DIV:6/16=0,r:6 ; OUT:62 |
multidigit_addition | multidigit_addition:left-to-right-partials | 511+715 | p100:500+700=1200 ; p10:10+10=20 ; p1:1+5=6 ; sum=1200+20+6=1226 |
multidigit_addition | multidigit_addition:right-to-left-carry | 564+135 | d2:4+5+0=9→w9,c0 ; d1:6+3+0=9→w9,c0 ; d0:5+1+0=6→w6,c0 ; sum=699 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 1, 8, 4, 0 | [1,7,8,4,0] ; [1,7,8,4,0] ; [1,4,7,8,0] ; [0,1,4,7,8] |
list_summation | list_summation:left-to-right | 7, 7, 8, 0 | 7+7=14 ; 14+8=22 ; 22+0=22 |
multidigit_addition | multidigit_addition:left-to-right-partials | 955+581 | p100:900+500=1400 ; p10:50+80=130 ; p1:5+1=6 ; sum=1400+130+6=1536 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 6, 4, 1 | [1,5,6,4,7] ; [1,4,6,5,7] ; [1,4,5,6,7] ; [1,4,5,6,7] |
list_summation | list_summation:pairwise | 0, 3, 9, 5 | 0+3=3 ; 9+5=14 ; 3+14=17 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 420+924 | round:420+924=1344 ; adjust:1344-0=1344 ; sum=1344 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+36=36 | 9x+36=36 ; x+4=4 ; x=4-4 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,3) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
base_conversion | base_conversion:via-binary | n=212,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:3110 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+25=5 | 5x+25=5 ; x+5=1 ; x=1-5 ; x=-4 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 5, 0, 9 | [2,9,5,0,6] ; [9,2,5,0,6] ; [9,6,5,0,2] ; [2,6,5,0,9] ; [6,2,5,0,9] ; [0,2,5,6,9] ; [5,2,0,6,9] ; [0,2,5,6,9] ; [2,0,5,6,9] ; [0,2,5,6,9] |
base_conversion | base_conversion:via-binary | n=15,base=8 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:7 ; OUT:17 |
base_conversion | base_conversion:via-binary | n=210,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:2 ; OUT:D2 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 1, 9, 5, 6 | [1,8,9,5,6] ; [1,5,9,8,6] ; [1,5,6,8,9] ; [1,5,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,4) | D:(3,3) ; R:(3,4) |
base_conversion | base_conversion:via-binary | n=108,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1101100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-20=-28 | 4x-20=-28 ; 4x=-8 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=126,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:1332 |
list_summation | list_summation:pairwise | 4, 4, 5, 0 | 4+4=8 ; 5+0=5 ; 8+5=13 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
base_conversion | base_conversion:repeated-division | n=32,base=8 | DIV:32/8=4,r:0 ; DIV:4/8=0,r:4 ; OUT:40 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 2, 5, 8, 4 | [1,2,4,5,8] |
base_conversion | base_conversion:repeated-division | n=232,base=4 | DIV:232/4=58,r:0 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3220 |
multidigit_addition | multidigit_addition:left-to-right-partials | 586+692 | p100:500+600=1100 ; p10:80+90=170 ; p1:6+2=8 ; sum=1100+170+8=1278 |
base_conversion | base_conversion:repeated-division | n=193,base=4 | DIV:193/4=48,r:1 ; DIV:48/4=12,r:0 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3001 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 5, 3, 0, 9 | [5,7,3,0,9] ; [5,7,0,3,9] ; [0,3,5,7,9] |
list_summation | list_summation:left-to-right | 0, 9, 3, 4 | 0+9=9 ; 9+3=12 ; 12+4=16 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 9, 2, 1, 3 | [8,2,9,1,3] ; [8,2,1,9,3] ; [8,2,1,3,9] ; [2,8,1,3,9] ; [2,1,8,3,9] ; [2,1,3,8,9] ; [1,2,3,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) |
base_conversion | base_conversion:decomposition | n=220,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:3130 |
base_conversion | base_conversion:repeated-division | n=128,base=8 | DIV:128/8=16,r:0 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:200 |
list_summation | list_summation:right-to-left | 9, 0, 4, 1 | 4+1=5 ; 0+5=5 ; 9+5=14 |
base_conversion | base_conversion:repeated-division | n=158,base=4 | DIV:158/4=39,r:2 ; DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2132 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 4, 3, 5, 8 | [0,3,4,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 431+505 | round:440+505=945 ; adjust:945-9=936 ; sum=936 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-30 | 2x-16=-30 ; 2x=-14 ; x=-7 |
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