task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 1, 8, 6, 3 | [1,9,8,6,3] ; [1,8,9,6,3] ; [1,6,8,9,3] ; [1,3,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-48=-54 | 6x-48=-54 ; x+-8=-9 ; x=-9--8 ; x=-1 |
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) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=-10 | 5x-30=-10 ; 5x=20 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 805+810 | p100:800+800=1600 ; p10:0+10=10 ; p1:5+0=5 ; sum=1600+10+5=1615 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 2, 0, 9 | [4,6,0,2,9] ; [0,2,4,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=213,base=4 | DIV:213/4=53,r:1 ; DIV:53/4=13,r:1 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3111 |
base_conversion | base_conversion:via-binary | n=203,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; OUT:313 |
multidigit_addition | multidigit_addition:right-to-left-carry | 950+190 | d2:0+0+0=0→w0,c0 ; d1:5+9+0=14→w4,c1 ; d0:9+1+1=11→w1,c1 ; sum=1140 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+42=66 | 6x+42=66 ; x+7=11 ; x=11-7 ; x=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=-52 | 4x-16=-52 ; x=(-52--16)/4 ; x=-36/4 ; x=-9 |
list_summation | list_summation:left-to-right | 2, 7, 1, 1 | 2+7=9 ; 9+1=10 ; 10+1=11 |
base_conversion | base_conversion:decomposition | n=91,base=16 | TERM:5*16^1=80 ; TERM:11*16^0=11 ; OUT:5B |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(2,3) | D:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-18=-20 | 2x-18=-20 ; x=(-20--18)/2 ; x=-2/2 ; x=-1 |
list_summation | list_summation:pairwise | 3, 3, 9, 7 | 3+3=6 ; 9+7=16 ; 6+16=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 979+838 | round:980+838=1818 ; adjust:1818-1=1817 ; sum=1817 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,3) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 5, 6, 7, 2 | [1,5,6,2,7] ; [1,5,2,6,7] ; [1,2,5,6,7] |
list_summation | list_summation:left-to-right | 2, 1, 8, 9 | 2+1=3 ; 3+8=11 ; 11+9=20 |
multidigit_addition | multidigit_addition:left-to-right-partials | 727+185 | p100:700+100=800 ; p10:20+80=100 ; p1:7+5=12 ; sum=800+100+12=912 |
list_summation | list_summation:pairwise | 9, 9, 4, 6 | 9+9=18 ; 4+6=10 ; 18+10=28 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+12=32 | 4x+12=32 ; 4x=20 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; D:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 9, 1, 0, 7 | [9,2,1,0,7] ; [9,7,1,0,2] ; [2,7,1,0,9] ; [7,2,1,0,9] ; [0,2,1,7,9] ; [2,0,1,7,9] ; [1,0,2,7,9] ; [0,1,2,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 4, 9, 7 | [0,8,4,9,7] ; [0,4,8,9,7] ; [0,4,7,8,9] |
base_conversion | base_conversion:via-binary | n=111,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:1233 |
list_summation | list_summation:pairwise | 4, 4, 3, 3 | 4+4=8 ; 3+3=6 ; 8+6=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=65 | 5x+30=65 ; x+6=13 ; x=13-6 ; x=7 |
list_summation | list_summation:right-to-left | 2, 4, 3, 2 | 3+2=5 ; 4+5=9 ; 2+9=11 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=48 | 3x+24=48 ; x=(48-24)/3 ; x=24/3 ; x=8 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 6, 5, 3 | [8,5,6,0,3] ; [3,5,6,0,8] ; [6,5,3,0,8] ; [0,5,3,6,8] ; [5,0,3,6,8] ; [3,0,5,6,8] ; [0,3,5,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:via-binary | n=191,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:2333 |
list_summation | list_summation:right-to-left | 2, 6, 9, 1 | 9+1=10 ; 6+10=16 ; 2+16=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=-15 | 5x+0=-15 ; 5x=-15 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 154+343 | p100:100+300=400 ; p10:50+40=90 ; p1:4+3=7 ; sum=400+90+7=497 |
base_conversion | base_conversion:decomposition | n=16,base=8 | TERM:2*8^1=16 ; TERM:0*8^0=0 ; OUT:20 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 3, 0, 2, 1 | [3,8,0,2,1] ; [3,0,8,2,1] ; [3,0,2,8,1] ; [3,0,2,1,8] ; [0,3,2,1,8] ; [0,2,3,1,8] ; [0,2,1,3,8] ; [0,1,2,3,8] |
list_summation | list_summation:right-to-left | 3, 6, 8, 7 | 8+7=15 ; 6+15=21 ; 3+21=24 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 624+422 | d2:4+2+0=6→w6,c0 ; d1:2+2+0=4→w4,c0 ; d0:6+4+0=10→w0,c1 ; sum=1046 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 8, 4, 3, 1 | 8+4=12 ; 3+1=4 ; 12+4=16 |
base_conversion | base_conversion:via-binary | n=137,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:2021 |
multidigit_addition | multidigit_addition:right-to-left-carry | 493+292 | d2:3+2+0=5→w5,c0 ; d1:9+9+0=18→w8,c1 ; d0:4+2+1=7→w7,c0 ; sum=785 |
base_conversion | base_conversion:decomposition | n=214,base=8 | TERM:3*8^2=192 ; TERM:2*8^1=16 ; TERM:6*8^0=6 ; OUT:326 |
multidigit_addition | multidigit_addition:left-to-right-partials | 715+196 | p100:700+100=800 ; p10:10+90=100 ; p1:5+6=11 ; sum=800+100+11=911 |
multidigit_addition | multidigit_addition:right-to-left-carry | 864+591 | d2:4+1+0=5→w5,c0 ; d1:6+9+0=15→w5,c1 ; d0:8+5+1=14→w4,c1 ; sum=1455 |
base_conversion | base_conversion:repeated-division | n=15,base=4 | DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:33 |
list_summation | list_summation:right-to-left | 6, 8, 1, 6 | 1+6=7 ; 8+7=15 ; 6+15=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=28,base=2 | DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=15 | 5x+15=15 ; 5x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=0 | 3x+24=0 ; 3x=-24 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 320+712 | d2:0+2+0=2→w2,c0 ; d1:2+1+0=3→w3,c0 ; d0:3+7+0=10→w0,c1 ; sum=1032 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=-24 | 6x-6=-24 ; x+-1=-4 ; x=-4--1 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 6, 4, 7, 2 | [2,6,4,7,3] ; [2,3,4,7,6] ; [2,3,4,7,6] ; [2,3,4,6,7] |
base_conversion | base_conversion:repeated-division | n=45,base=8 | DIV:45/8=5,r:5 ; DIV:5/8=0,r:5 ; OUT:55 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=6 | 2x-8=6 ; x+-4=3 ; x=3--4 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=8 | 8x-48=8 ; 8x=56 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:pairwise | 4, 7, 7, 9 | 4+7=11 ; 7+9=16 ; 11+16=27 |
multidigit_addition | multidigit_addition:right-to-left-carry | 720+193 | d2:0+3+0=3→w3,c0 ; d1:2+9+0=11→w1,c1 ; d0:7+1+1=9→w9,c0 ; sum=913 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 1, 8, 9 | [5,1,7,8,9] ; [1,5,7,8,9] |
list_summation | list_summation:left-to-right | 4, 6, 4, 5 | 4+6=10 ; 10+4=14 ; 14+5=19 |
list_summation | list_summation:left-to-right | 8, 3, 2, 0 | 8+3=11 ; 11+2=13 ; 13+0=13 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-24=-44 | 4x-24=-44 ; x=(-44--24)/4 ; x=-20/4 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 269+118 | d2:9+8+0=17→w7,c1 ; d1:6+1+1=8→w8,c0 ; d0:2+1+0=3→w3,c0 ; sum=387 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-36=-54 | 9x-36=-54 ; x=(-54--36)/9 ; x=-18/9 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 680+734 | round:680+734=1414 ; adjust:1414-0=1414 ; sum=1414 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+30=30 | 6x+30=30 ; 6x=0 ; x=0 |
base_conversion | base_conversion:repeated-division | n=216,base=4 | DIV:216/4=54,r:0 ; DIV:54/4=13,r:2 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3120 |
multidigit_addition | multidigit_addition:right-to-left-carry | 240+821 | d2:0+1+0=1→w1,c0 ; d1:4+2+0=6→w6,c0 ; d0:2+8+0=10→w0,c1 ; sum=1061 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 9, 3, 0 | [4,5,9,3,0] ; [4,5,9,3,0] ; [3,4,5,9,0] ; [0,3,4,5,9] |
list_summation | list_summation:left-to-right | 0, 3, 1, 4 | 0+3=3 ; 3+1=4 ; 4+4=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-40 | 5x-45=-40 ; x=(-40--45)/5 ; x=5/5 ; x=1 |
list_summation | list_summation:pairwise | 6, 0, 5, 6 | 6+0=6 ; 5+6=11 ; 6+11=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 9, 7, 6 | [5,8,9,7,6] ; [5,6,9,7,8] ; [5,6,7,9,8] ; [5,6,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+40=0 | 5x+40=0 ; x+8=0 ; x=0-8 ; x=-8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 2, 3, 0, 4 | [2,7,3,0,4] ; [2,3,7,0,4] ; [2,3,0,7,4] ; [2,3,0,4,7] ; [2,0,3,4,7] ; [0,2,3,4,7] |
base_conversion | base_conversion:repeated-division | n=44,base=16 | DIV:44/16=2,r:12 ; DIV:2/16=0,r:2 ; OUT:2C |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 6, 1, 8 | [1,9,6,4,8] ; [1,4,6,9,8] ; [1,4,6,9,8] ; [1,4,6,8,9] |
list_summation | list_summation:right-to-left | 4, 3, 8, 0 | 8+0=8 ; 3+8=11 ; 4+11=15 |
base_conversion | base_conversion:decomposition | n=23,base=2 | TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10111 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=253,base=16 | TERM:15*16^1=240 ; TERM:13*16^0=13 ; OUT:FD |
multidigit_addition | multidigit_addition:right-to-left-carry | 872+975 | d2:2+5+0=7→w7,c0 ; d1:7+7+0=14→w4,c1 ; d0:8+9+1=18→w8,c1 ; sum=1847 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 4, 9, 7, 0 | [0,4,9,7,3] ; [0,3,9,7,4] ; [0,3,4,7,9] ; [0,3,4,7,9] |
list_summation | list_summation:left-to-right | 6, 5, 9, 4 | 6+5=11 ; 11+9=20 ; 20+4=24 |
multidigit_addition | multidigit_addition:left-to-right-partials | 773+325 | p100:700+300=1000 ; p10:70+20=90 ; p1:3+5=8 ; sum=1000+90+8=1098 |
multidigit_addition | multidigit_addition:left-to-right-partials | 715+107 | p100:700+100=800 ; p10:10+0=10 ; p1:5+7=12 ; sum=800+10+12=822 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
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