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=109,base=16 | DIV:109/16=6,r:13 ; DIV:6/16=0,r:6 ; OUT:6D |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 0, 7, 1, 5 | [0,4,7,1,5] ; [0,4,1,7,5] ; [0,4,1,5,7] ; [0,1,4,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 819+360 | round:820+360=1180 ; adjust:1180-1=1179 ; sum=1179 |
base_conversion | base_conversion:decomposition | n=131,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:2003 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+16=28 | 2x+16=28 ; x=(28-16)/2 ; x=12/2 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 328+385 | round:330+385=715 ; adjust:715-2=713 ; sum=713 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 5, 9, 1, 4 | [5,6,9,1,4] ; [5,6,1,9,4] ; [5,6,1,4,9] ; [5,1,6,4,9] ; [5,1,4,6,9] ; [1,5,4,6,9] ; [1,4,5,6,9] |
list_summation | list_summation:right-to-left | 2, 4, 4, 1 | 4+1=5 ; 4+5=9 ; 2+9=11 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+12=24 | 6x+12=24 ; 6x=12 ; x=2 |
base_conversion | base_conversion:via-binary | n=189,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:13 ; OUT:BD |
multidigit_addition | multidigit_addition:rounding-decomposition | 707+623 | round:710+623=1333 ; adjust:1333-3=1330 ; sum=1330 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(2,5) | D:(1,4) ; D:(2,4) ; R:(2,5) |
list_summation | list_summation:pairwise | 3, 4, 3, 7 | 3+4=7 ; 3+7=10 ; 7+10=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 529+296 | round:530+296=826 ; adjust:826-1=825 ; sum=825 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+28=44 | 4x+28=44 ; x+7=11 ; x=11-7 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,1) | D:(5,0) ; R:(5,1) |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 7, 3, 4, 6 | [3,7,5,4,6] ; [3,4,5,7,6] ; [3,4,5,7,6] ; [3,4,5,6,7] |
list_summation | list_summation:left-to-right | 3, 3, 0, 1 | 3+3=6 ; 6+0=6 ; 6+1=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 589+676 | d2:9+6+0=15→w5,c1 ; d1:8+7+1=16→w6,c1 ; d0:5+6+1=12→w2,c1 ; sum=1265 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 1, 3, 4 | [8,4,1,3,0] ; [0,4,1,3,8] ; [4,0,1,3,8] ; [4,3,1,0,8] ; [0,3,1,4,8] ; [3,0,1,4,8] ; [1,0,3,4,8] ; [0,1,3,4,8] |
list_summation | list_summation:left-to-right | 5, 4, 5, 9 | 5+4=9 ; 9+5=14 ; 14+9=23 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
list_summation | list_summation:right-to-left | 6, 2, 4, 7 | 4+7=11 ; 2+11=13 ; 6+13=19 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 6, 0, 4, 8 | [2,6,0,4,8] ; [0,2,6,4,8] ; [0,2,4,6,8] ; [0,2,4,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 9, 6, 4, 5 | [9,8,6,4,5] ; [5,8,6,4,9] ; [8,5,6,4,9] ; [4,5,6,8,9] ; [6,5,4,8,9] ; [4,5,6,8,9] ; [5,4,6,8,9] ; [4,5,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,5) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 7, 4, 6, 5 | 7+4=11 ; 6+5=11 ; 11+11=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-27=-36 | 3x-27=-36 ; x+-9=-12 ; x=-12--9 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,2) | D:(3,1) ; R:(3,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; R:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+8=40 | 4x+8=40 ; 4x=32 ; x=8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=30 | 5x+30=30 ; x+6=6 ; x=6-6 ; x=0 |
list_summation | list_summation:left-to-right | 0, 6, 9, 0 | 0+6=6 ; 6+9=15 ; 15+0=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,3) | R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(4,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
list_summation | list_summation:right-to-left | 2, 7, 1, 9 | 1+9=10 ; 7+10=17 ; 2+17=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 383+161 | p100:300+100=400 ; p10:80+60=140 ; p1:3+1=4 ; sum=400+140+4=544 |
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) |
base_conversion | base_conversion:decomposition | n=82,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:1102 |
list_summation | list_summation:pairwise | 7, 8, 4, 3 | 7+8=15 ; 4+3=7 ; 15+7=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=-45 | 5x-45=-45 ; 5x=0 ; x=0 |
base_conversion | base_conversion:decomposition | n=190,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:6*8^0=6 ; OUT:276 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 7, 2, 0 | [5,7,9,2,0] ; [5,7,2,9,0] ; [5,7,2,0,9] ; [5,2,7,0,9] ; [5,2,0,7,9] ; [2,5,0,7,9] ; [2,0,5,7,9] ; [0,2,5,7,9] |
base_conversion | base_conversion:via-binary | n=22,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:6 ; OUT:26 |
multidigit_addition | multidigit_addition:right-to-left-carry | 800+347 | d2:0+7+0=7→w7,c0 ; d1:0+4+0=4→w4,c0 ; d0:8+3+0=11→w1,c1 ; sum=1147 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 5, 4, 3, 7 | [1,4,5,3,7] ; [1,4,3,5,7] ; [1,3,4,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+10=8 | 2x+10=8 ; x=(8-10)/2 ; x=-2/2 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=116,base=8 | DIV:116/8=14,r:4 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:164 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=24 | 2x+8=24 ; x=(24-8)/2 ; x=16/2 ; x=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 2, 9, 8 | [2,4,5,9,8] ; [2,4,5,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,4) | D:(2,3) ; R:(2,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 6, 5, 1 | [0,6,8,5,1] ; [0,6,5,8,1] ; [0,6,5,1,8] ; [0,5,6,1,8] ; [0,5,1,6,8] ; [0,1,5,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 6, 8, 3, 9 | [6,7,8,3,9] ; [6,7,8,3,9] ; [3,6,7,8,9] ; [3,6,7,8,9] |
base_conversion | base_conversion:via-binary | n=173,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:5 ; CHUNK:2:5 ; OUT:255 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 230+306 | d2:0+6+0=6→w6,c0 ; d1:3+0+0=3→w3,c0 ; d0:2+3+0=5→w5,c0 ; sum=536 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 8, 1, 7, 6 | [2,8,1,7,6] ; [1,2,8,7,6] ; [1,2,7,8,6] ; [1,2,6,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 2, 0, 6, 4 | [1,2,0,6,4] ; [0,1,2,6,4] ; [0,1,2,6,4] ; [0,1,2,4,6] |
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) |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 2, 3, 8 | [1,4,2,3,8] ; [1,2,4,3,8] ; [1,2,3,4,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 6, 0, 9, 2 | [0,6,3,9,2] ; [0,2,3,9,6] ; [0,2,3,9,6] ; [0,2,3,6,9] |
base_conversion | base_conversion:via-binary | n=72,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:8 ; OUT:48 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-42=-84 | 7x-42=-84 ; x+-6=-12 ; x=-12--6 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) |
base_conversion | base_conversion:repeated-division | n=80,base=16 | DIV:80/16=5,r:0 ; DIV:5/16=0,r:5 ; OUT:50 |
list_summation | list_summation:right-to-left | 9, 0, 2, 8 | 2+8=10 ; 0+10=10 ; 9+10=19 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-63=-72 | 9x-63=-72 ; x=(-72--63)/9 ; x=-9/9 ; x=-1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+18=-63 | 9x+18=-63 ; x=(-63-18)/9 ; x=-81/9 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+24=24 | 4x+24=24 ; x+6=6 ; x=6-6 ; x=0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 133+182 | d2:3+2+0=5→w5,c0 ; d1:3+8+0=11→w1,c1 ; d0:1+1+1=3→w3,c0 ; sum=315 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,5) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 2, 1, 9, 1 | 9+1=10 ; 1+10=11 ; 2+11=13 |
multidigit_addition | multidigit_addition:right-to-left-carry | 175+853 | d2:5+3+0=8→w8,c0 ; d1:7+5+0=12→w2,c1 ; d0:1+8+1=10→w0,c1 ; sum=1028 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 3, 8, 7, 9 | [1,3,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 7, 4, 1, 5 | [7,9,4,1,5] ; [7,9,1,4,5] ; [1,4,7,9,5] ; [1,4,5,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 0, 3, 8, 5 | [0,2,3,8,5] ; [0,2,3,8,5] ; [0,2,3,8,5] ; [0,2,3,5,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=-32 | 8x+8=-32 ; 8x=-40 ; x=-5 |
list_summation | list_summation:right-to-left | 4, 6, 9, 5 | 9+5=14 ; 6+14=20 ; 4+20=24 |
multidigit_addition | multidigit_addition:right-to-left-carry | 518+811 | d2:8+1+0=9→w9,c0 ; d1:1+1+0=2→w2,c0 ; d0:5+8+0=13→w3,c1 ; sum=1329 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-64=-112 | 8x-64=-112 ; x+-8=-14 ; x=-14--8 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; D:(2,4) ; R:(2,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 691+615 | d2:1+5+0=6→w6,c0 ; d1:9+1+0=10→w0,c1 ; d0:6+6+1=13→w3,c1 ; sum=1306 |
list_summation | list_summation:left-to-right | 1, 3, 9, 2 | 1+3=4 ; 4+9=13 ; 13+2=15 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 8, 5, 6, 0 | [0,8,5,6,2] ; [0,2,5,6,8] ; [0,2,5,6,8] ; [0,2,5,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-56=0 | 7x-56=0 ; x+-8=0 ; x=0--8 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 974+237 | d2:4+7+0=11→w1,c1 ; d1:7+3+1=11→w1,c1 ; d0:9+2+1=12→w2,c1 ; sum=1211 |
list_summation | list_summation:pairwise | 9, 2, 2, 6 | 9+2=11 ; 2+6=8 ; 11+8=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 922+171 | round:930+171=1101 ; adjust:1101-8=1093 ; sum=1093 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; D:(2,4) ; R:(2,5) |
list_summation | list_summation:right-to-left | 2, 0, 0, 4 | 0+4=4 ; 0+4=4 ; 2+4=6 |
base_conversion | base_conversion:decomposition | n=102,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:146 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=-72 | 8x-24=-72 ; x=(-72--24)/8 ; x=-48/8 ; x=-6 |
list_summation | list_summation:left-to-right | 1, 6, 6, 8 | 1+6=7 ; 7+6=13 ; 13+8=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 209+459 | d2:9+9+0=18→w8,c1 ; d1:0+5+1=6→w6,c0 ; d0:2+4+0=6→w6,c0 ; sum=668 |
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