task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 802+789 | p100:800+700=1500 ; p10:0+80=80 ; p1:2+9=11 ; sum=1500+80+11=1591 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 5, 4, 6, 8 | [5,9,4,6,8] ; [4,5,6,9,8] ; [4,5,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(3,2) | D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,2) | R:(2,1) ; D:(3,1) ; R:(3,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=30,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11110 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 2, 9, 6, 5 | [1,2,6,9,5] ; [1,2,6,5,9] ; [1,2,5,6,9] |
list_summation | list_summation:left-to-right | 7, 9, 9, 3 | 7+9=16 ; 16+9=25 ; 25+3=28 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 3, 2, 4, 7 | [1,7,2,4,3] ; [7,1,2,4,3] ; [7,4,2,1,3] ; [3,4,2,1,7] ; [4,3,2,1,7] ; [1,3,2,4,7] ; [3,1,2,4,7] ; [2,1,3,4,7] ; [1,2,3,4,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=18 | 3x+24=18 ; x+8=6 ; x=6-8 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-35=-80 | 5x-35=-80 ; x=(-80--35)/5 ; x=-45/5 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 128+160 | round:130+160=290 ; adjust:290-2=288 ; sum=288 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 3, 2, 8, 5 | 3+2=5 ; 5+8=13 ; 13+5=18 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 8, 6, 9 | [7,9,8,6,4] ; [9,7,8,6,4] ; [4,7,8,6,9] ; [8,7,4,6,9] ; [6,7,4,8,9] ; [7,6,4,8,9] ; [4,6,7,8,9] ; [6,4,7,8,9] ; [4,6,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 958+265 | d2:8+5+0=13→w3,c1 ; d1:5+6+1=12→w2,c1 ; d0:9+2+1=12→w2,c1 ; sum=1223 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 1, 4, 7 | [8,9,1,4,7] ; [1,8,9,4,7] ; [1,4,8,9,7] ; [1,4,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+4=-8 | 2x+4=-8 ; x=(-8-4)/2 ; x=-12/2 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 0, 4, 6 | [5,9,0,4,6] ; [5,0,9,4,6] ; [5,0,4,9,6] ; [5,0,4,6,9] ; [0,5,4,6,9] ; [0,4,5,6,9] |
list_summation | list_summation:left-to-right | 7, 6, 6, 7 | 7+6=13 ; 13+6=19 ; 19+7=26 |
base_conversion | base_conversion:decomposition | n=124,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1111100 |
base_conversion | base_conversion:decomposition | n=13,base=4 | TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:31 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-12=42 | 6x-12=42 ; 6x=54 ; x=9 |
list_summation | list_summation:pairwise | 9, 8, 7, 1 | 9+8=17 ; 7+1=8 ; 17+8=25 |
list_summation | list_summation:pairwise | 2, 4, 6, 0 | 2+4=6 ; 6+0=6 ; 6+6=12 |
multidigit_addition | multidigit_addition:right-to-left-carry | 447+179 | d2:7+9+0=16→w6,c1 ; d1:4+7+1=12→w2,c1 ; d0:4+1+1=6→w6,c0 ; sum=626 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-4=6 | 2x-4=6 ; x=(6--4)/2 ; x=10/2 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=16 | 2x+16=16 ; x+8=8 ; x=8-8 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-56=-49 | 7x-56=-49 ; x+-8=-7 ; x=-7--8 ; x=1 |
list_summation | list_summation:pairwise | 2, 9, 4, 7 | 2+9=11 ; 4+7=11 ; 11+11=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-55 | 5x-45=-55 ; x=(-55--45)/5 ; x=-10/5 ; x=-2 |
list_summation | list_summation:left-to-right | 6, 0, 7, 9 | 6+0=6 ; 6+7=13 ; 13+9=22 |
list_summation | list_summation:right-to-left | 2, 1, 7, 5 | 7+5=12 ; 1+12=13 ; 2+13=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 6, 5, 9 | [1,6,7,5,9] ; [1,6,5,7,9] ; [1,5,6,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 487+940 | d2:7+0+0=7→w7,c0 ; d1:8+4+0=12→w2,c1 ; d0:4+9+1=14→w4,c1 ; sum=1427 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(1,4) | R:(0,1) ; D:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 114+118 | round:120+118=238 ; adjust:238-6=232 ; sum=232 |
list_summation | list_summation:right-to-left | 6, 5, 1, 1 | 1+1=2 ; 5+2=7 ; 6+7=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(3,3) | D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) |
list_summation | list_summation:left-to-right | 7, 8, 6, 3 | 7+8=15 ; 15+6=21 ; 21+3=24 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+18=99 | 9x+18=99 ; x+2=11 ; x=11-2 ; x=9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+4=-24 | 4x+4=-24 ; 4x=-28 ; x=-7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 3, 7, 9, 0 | [2,3,7,9,0] ; [2,3,7,9,0] ; [2,3,7,9,0] ; [0,2,3,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 6, 5, 2, 0 | [0,6,5,2,8] ; [0,2,5,6,8] ; [0,2,5,6,8] ; [0,2,5,6,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 8, 4, 9, 5 | [0,9,4,8,5] ; [9,0,4,8,5] ; [9,8,4,0,5] ; [5,8,4,0,9] ; [8,5,4,0,9] ; [0,5,4,8,9] ; [5,0,4,8,9] ; [4,0,5,8,9] ; [0,4,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-3=24 | 3x-3=24 ; x=(24--3)/3 ; x=27/3 ; x=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 1, 2, 6, 0 | [1,8,2,6,0] ; [1,2,6,8,0] ; [0,1,2,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,5) | R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 145+301 | round:150+301=451 ; adjust:451-5=446 ; sum=446 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,3) | R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:pairwise | 0, 4, 1, 6 | 0+4=4 ; 1+6=7 ; 4+7=11 |
list_summation | list_summation:left-to-right | 9, 0, 9, 5 | 9+0=9 ; 9+9=18 ; 18+5=23 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,4) | R:(0,3) ; R:(0,4) ; D:(1,4) |
list_summation | list_summation:right-to-left | 6, 2, 0, 2 | 0+2=2 ; 2+2=4 ; 6+4=10 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 3, 6, 1, 0 | [0,3,6,1,4] ; [0,1,6,3,4] ; [0,1,3,6,4] ; [0,1,3,4,6] |
base_conversion | base_conversion:via-binary | n=149,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:5 ; OUT:95 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(1,3) | R:(0,2) ; D:(1,2) ; R:(1,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 164+801 | d2:4+1+0=5→w5,c0 ; d1:6+0+0=6→w6,c0 ; d0:1+8+0=9→w9,c0 ; sum=965 |
list_summation | list_summation:pairwise | 2, 1, 6, 5 | 2+1=3 ; 6+5=11 ; 3+11=14 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 2, 5, 1, 3 | [2,8,5,1,3] ; [2,5,8,1,3] ; [2,5,1,8,3] ; [2,5,1,3,8] ; [2,1,5,3,8] ; [2,1,3,5,8] ; [1,2,3,5,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 311+762 | round:320+762=1082 ; adjust:1082-9=1073 ; sum=1073 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 1, 2, 6 | [5,1,8,2,6] ; [5,1,2,8,6] ; [5,1,2,6,8] ; [1,5,2,6,8] ; [1,2,5,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=0 | 8x-48=0 ; 8x=48 ; x=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 6, 3, 4, 0 | [0,6,3,4,7] ; [0,3,6,4,7] ; [0,3,4,6,7] ; [0,3,4,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+48=42 | 6x+48=42 ; x=(42-48)/6 ; x=-6/6 ; x=-1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 803+597 | round:810+597=1407 ; adjust:1407-7=1400 ; sum=1400 |
multidigit_addition | multidigit_addition:right-to-left-carry | 283+510 | d2:3+0+0=3→w3,c0 ; d1:8+1+0=9→w9,c0 ; d0:2+5+0=7→w7,c0 ; sum=793 |
multidigit_addition | multidigit_addition:left-to-right-partials | 846+630 | p100:800+600=1400 ; p10:40+30=70 ; p1:6+0=6 ; sum=1400+70+6=1476 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+18=28 | 2x+18=28 ; x+9=14 ; x=14-9 ; x=5 |
list_summation | list_summation:left-to-right | 5, 2, 4, 9 | 5+2=7 ; 7+4=11 ; 11+9=20 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 6, 3, 9, 0 | [1,3,6,9,0] ; [0,1,3,6,9] |
base_conversion | base_conversion:decomposition | n=129,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10000001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+16=48 | 4x+16=48 ; x+4=12 ; x=12-4 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
list_summation | list_summation:left-to-right | 3, 1, 3, 5 | 3+1=4 ; 4+3=7 ; 7+5=12 |
multidigit_addition | multidigit_addition:rounding-decomposition | 484+414 | round:490+414=904 ; adjust:904-6=898 ; sum=898 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+54=99 | 9x+54=99 ; x+6=11 ; x=11-6 ; x=5 |
base_conversion | base_conversion:decomposition | n=200,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:0*8^0=0 ; OUT:310 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 0, 3, 8 | [1,7,0,3,8] ; [1,0,7,3,8] ; [1,0,3,7,8] ; [0,1,3,7,8] |
base_conversion | base_conversion:decomposition | n=100,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:4*8^0=4 ; OUT:144 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
base_conversion | base_conversion:via-binary | n=60,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; OUT:111100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 164+784 | p100:100+700=800 ; p10:60+80=140 ; p1:4+4=8 ; sum=800+140+8=948 |
list_summation | list_summation:right-to-left | 4, 3, 5, 0 | 5+0=5 ; 3+5=8 ; 4+8=12 |
multidigit_addition | multidigit_addition:right-to-left-carry | 625+580 | d2:5+0+0=5→w5,c0 ; d1:2+8+0=10→w0,c1 ; d0:6+5+1=12→w2,c1 ; sum=1205 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,4) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 390+946 | round:390+946=1336 ; adjust:1336-0=1336 ; sum=1336 |
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