task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=16 | 4x+12=16 ; x=(16-12)/4 ; x=4/4 ; x=1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 4, 5, 0, 9 | [3,4,0,5,9] ; [3,0,4,5,9] ; [0,3,4,5,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=-8 | 4x-16=-8 ; x=(-8--16)/4 ; x=8/4 ; x=2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 3, 8, 7 | [4,6,3,8,7] ; [3,4,6,8,7] ; [3,4,6,8,7] ; [3,4,6,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 2, 3, 1, 5 | [8,5,3,1,2] ; [2,5,3,1,8] ; [5,2,3,1,8] ; [1,2,3,5,8] ; [3,2,1,5,8] ; [1,2,3,5,8] ; [2,1,3,5,8] ; [1,2,3,5,8] |
list_summation | list_summation:left-to-right | 2, 3, 1, 7 | 2+3=5 ; 5+1=6 ; 6+7=13 |
multidigit_addition | multidigit_addition:rounding-decomposition | 608+611 | round:610+611=1221 ; adjust:1221-2=1219 ; sum=1219 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 3, 2, 1 | [5,2,3,0,1] ; [1,2,3,0,5] ; [3,2,1,0,5] ; [0,2,1,3,5] ; [2,0,1,3,5] ; [1,0,2,3,5] ; [0,1,2,3,5] |
base_conversion | base_conversion:repeated-division | n=196,base=8 | DIV:196/8=24,r:4 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:304 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 5, 2, 0, 7 | [5,6,2,0,7] ; [5,6,0,2,7] ; [0,2,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-54=-63 | 9x-54=-63 ; x=(-63--54)/9 ; x=-9/9 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=50,base=16 | DIV:50/16=3,r:2 ; DIV:3/16=0,r:3 ; OUT:32 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 1, 7, 5, 3 | [1,2,7,5,3] ; [1,2,7,5,3] ; [1,2,5,7,3] ; [1,2,3,5,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 431+134 | d2:1+4+0=5→w5,c0 ; d1:3+3+0=6→w6,c0 ; d0:4+1+0=5→w5,c0 ; sum=565 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 9, 7, 1, 2 | [5,9,1,7,2] ; [1,5,7,9,2] ; [1,2,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 266+392 | d2:6+2+0=8→w8,c0 ; d1:6+9+0=15→w5,c1 ; d0:2+3+1=6→w6,c0 ; sum=658 |
base_conversion | base_conversion:via-binary | n=106,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:10 ; OUT:6A |
multidigit_addition | multidigit_addition:rounding-decomposition | 775+976 | round:780+976=1756 ; adjust:1756-5=1751 ; sum=1751 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 6, 0, 3, 7 | [0,1,3,6,7] |
base_conversion | base_conversion:via-binary | n=252,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:7 ; CHUNK:2:4 ; OUT:374 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,5) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 1, 6, 4, 8 | [1,5,6,4,8] ; [1,5,4,6,8] ; [1,4,5,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+54=78 | 6x+54=78 ; x+9=13 ; x=13-9 ; x=4 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 4, 6, 1, 9 | [5,9,6,1,4] ; [9,5,6,1,4] ; [4,5,6,1,9] ; [6,5,4,1,9] ; [1,5,4,6,9] ; [5,1,4,6,9] ; [4,1,5,6,9] ; [1,4,5,6,9] |
base_conversion | base_conversion:repeated-division | n=159,base=2 | DIV:159/2=79,r:1 ; DIV:79/2=39,r:1 ; DIV:39/2=19,r:1 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10011111 |
list_summation | list_summation:right-to-left | 7, 8, 9, 8 | 9+8=17 ; 8+17=25 ; 7+25=32 |
list_summation | list_summation:left-to-right | 0, 6, 5, 6 | 0+6=6 ; 6+5=11 ; 11+6=17 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 4, 6, 7, 1 | [4,5,6,7,1] ; [1,4,5,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+21=6 | 3x+21=6 ; 3x=-15 ; x=-5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+32=16 | 8x+32=16 ; x=(16-32)/8 ; x=-16/8 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
list_summation | list_summation:pairwise | 1, 6, 1, 1 | 1+6=7 ; 1+1=2 ; 7+2=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 614+374 | p100:600+300=900 ; p10:10+70=80 ; p1:4+4=8 ; sum=900+80+8=988 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
list_summation | list_summation:right-to-left | 2, 0, 7, 9 | 7+9=16 ; 0+16=16 ; 2+16=18 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
base_conversion | base_conversion:via-binary | n=84,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1010100 |
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 |
multidigit_addition | multidigit_addition:rounding-decomposition | 589+350 | round:590+350=940 ; adjust:940-1=939 ; sum=939 |
list_summation | list_summation:right-to-left | 4, 8, 2, 8 | 2+8=10 ; 8+10=18 ; 4+18=22 |
base_conversion | base_conversion:repeated-division | n=33,base=4 | DIV:33/4=8,r:1 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:201 |
list_summation | list_summation:right-to-left | 4, 9, 3, 0 | 3+0=3 ; 9+3=12 ; 4+12=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 120+242 | p100:100+200=300 ; p10:20+40=60 ; p1:0+2=2 ; sum=300+60+2=362 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=8 | 8x-24=8 ; x=(8--24)/8 ; x=32/8 ; x=4 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 8, 3, 7 | [4,6,8,3,7] ; [4,6,3,8,7] ; [4,6,3,7,8] ; [4,3,6,7,8] ; [3,4,6,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+6=54 | 6x+6=54 ; x+1=9 ; x=9-1 ; x=8 |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 228+446 | p100:200+400=600 ; p10:20+40=60 ; p1:8+6=14 ; sum=600+60+14=674 |
list_summation | list_summation:right-to-left | 7, 6, 7, 4 | 7+4=11 ; 6+11=17 ; 7+17=24 |
list_summation | list_summation:right-to-left | 7, 2, 1, 9 | 1+9=10 ; 2+10=12 ; 7+12=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 808+895 | p100:800+800=1600 ; p10:0+90=90 ; p1:8+5=13 ; sum=1600+90+13=1703 |
multidigit_addition | multidigit_addition:left-to-right-partials | 209+317 | p100:200+300=500 ; p10:0+10=10 ; p1:9+7=16 ; sum=500+10+16=526 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 6, 3, 5, 1 | [0,6,3,5,1] ; [0,3,6,5,1] ; [0,3,5,6,1] ; [0,1,3,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 227+939 | round:230+939=1169 ; adjust:1169-3=1166 ; sum=1166 |
list_summation | list_summation:left-to-right | 0, 8, 0, 5 | 0+8=8 ; 8+0=8 ; 8+5=13 |
multidigit_addition | multidigit_addition:rounding-decomposition | 304+359 | round:310+359=669 ; adjust:669-6=663 ; sum=663 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 0, 5, 3, 8 | [0,6,5,3,8] ; [0,3,5,6,8] ; [0,3,5,6,8] ; [0,3,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(2,1) | D:(1,0) ; D:(2,0) ; R:(2,1) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=-18 | 6x+12=-18 ; x+2=-3 ; x=-3-2 ; x=-5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=50 | 5x+25=50 ; x=(50-25)/5 ; x=25/5 ; x=5 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 6, 9, 7, 3 | [5,7,9,6,3] ; [9,7,5,6,3] ; [3,7,5,6,9] ; [7,3,5,6,9] ; [7,6,5,3,9] ; [3,6,5,7,9] ; [6,3,5,7,9] ; [5,3,6,7,9] ; [3,5,6,7,9] |
list_summation | list_summation:pairwise | 3, 5, 4, 7 | 3+5=8 ; 4+7=11 ; 8+11=19 |
list_summation | list_summation:left-to-right | 8, 0, 0, 0 | 8+0=8 ; 8+0=8 ; 8+0=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 292+398 | round:300+398=698 ; adjust:698-8=690 ; sum=690 |
base_conversion | base_conversion:via-binary | n=167,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:7 ; OUT:247 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 8, 3, 1 | [0,7,3,8,1] ; [0,7,3,1,8] ; [0,3,7,1,8] ; [0,3,1,7,8] ; [0,1,3,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 6, 7, 1, 3 | [3,6,7,1,8] ; [7,6,3,1,8] ; [1,6,3,7,8] ; [6,1,3,7,8] ; [3,1,6,7,8] ; [1,3,6,7,8] |
list_summation | list_summation:pairwise | 3, 4, 3, 0 | 3+4=7 ; 3+0=3 ; 7+3=10 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:pairwise | 7, 1, 7, 6 | 7+1=8 ; 7+6=13 ; 8+13=21 |
base_conversion | base_conversion:via-binary | n=191,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:15 ; OUT:BF |
base_conversion | base_conversion:via-binary | n=59,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:11 ; OUT:3B |
list_summation | list_summation:pairwise | 8, 7, 9, 6 | 8+7=15 ; 9+6=15 ; 15+15=30 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(1,4) | D:(1,2) ; R:(1,3) ; R:(1,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 284+373 | round:290+373=663 ; adjust:663-6=657 ; sum=657 |
multidigit_addition | multidigit_addition:left-to-right-partials | 998+396 | p100:900+300=1200 ; p10:90+90=180 ; p1:8+6=14 ; sum=1200+180+14=1394 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=2 | 2x+16=2 ; x+8=1 ; x=1-8 ; x=-7 |
base_conversion | base_conversion:repeated-division | n=252,base=8 | DIV:252/8=31,r:4 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:374 |
list_summation | list_summation:right-to-left | 2, 4, 5, 1 | 5+1=6 ; 4+6=10 ; 2+10=12 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 8, 2, 6 | [2,9,8,7,6] ; [2,6,8,7,9] ; [2,6,7,8,9] ; [2,6,7,8,9] |
list_summation | list_summation:pairwise | 2, 2, 2, 0 | 2+2=4 ; 2+0=2 ; 4+2=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 3, 9, 7, 0 | [0,3,9,7,5] ; [0,3,9,7,5] ; [0,3,5,7,9] ; [0,3,5,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 2, 8, 0, 7 | [3,7,8,0,2] ; [8,7,3,0,2] ; [2,7,3,0,8] ; [7,2,3,0,8] ; [0,2,3,7,8] ; [3,2,0,7,8] ; [0,2,3,7,8] ; [2,0,3,7,8] ; [0,2,3,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(5,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 6, 8, 2, 3 | [8,6,0,2,3] ; [3,6,0,2,8] ; [6,3,0,2,8] ; [2,3,0,6,8] ; [3,2,0,6,8] ; [0,2,3,6,8] ; [2,0,3,6,8] ; [0,2,3,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-45=-126 | 9x-45=-126 ; 9x=-81 ; x=-9 |
base_conversion | base_conversion:via-binary | n=108,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:4 ; OUT:154 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 9, 8, 7, 0 | [0,9,8,7,6] ; [0,6,8,7,9] ; [0,6,7,8,9] ; [0,6,7,8,9] |
list_summation | list_summation:pairwise | 3, 0, 8, 2 | 3+0=3 ; 8+2=10 ; 3+10=13 |
base_conversion | base_conversion:decomposition | n=170,base=8 | TERM:2*8^2=128 ; TERM:5*8^1=40 ; TERM:2*8^0=2 ; OUT:252 |
list_summation | list_summation:pairwise | 9, 3, 0, 9 | 9+3=12 ; 0+9=9 ; 12+9=21 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 4, 6, 0 | [0,8,4,6,5] ; [0,4,8,6,5] ; [0,4,5,6,8] ; [0,4,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=5 | 5x+10=5 ; x=(5-10)/5 ; x=-5/5 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 345+198 | p100:300+100=400 ; p10:40+90=130 ; p1:5+8=13 ; sum=400+130+13=543 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 7, 5, 4, 1 | [3,7,4,5,1] ; [3,4,5,7,1] ; [1,3,4,5,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-10 | 5x-45=-10 ; x+-9=-2 ; x=-2--9 ; x=7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 4, 6, 9, 5 | [4,8,6,9,5] ; [4,6,8,9,5] ; [4,6,8,5,9] ; [4,6,5,8,9] ; [4,5,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 2, 5, 9, 1 | [4,9,5,2,1] ; [9,4,5,2,1] ; [1,4,5,2,9] ; [5,4,1,2,9] ; [2,4,1,5,9] ; [4,2,1,5,9] ; [1,2,4,5,9] ; [2,1,4,5,9] ; [1,2,4,5,9] |
base_conversion | base_conversion:via-binary | n=98,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:2 ; OUT:142 |
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