task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=96,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:0 ; OUT:60 |
base_conversion | base_conversion:repeated-division | n=222,base=4 | DIV:222/4=55,r:2 ; DIV:55/4=13,r:3 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3132 |
base_conversion | base_conversion:repeated-division | n=29,base=4 | DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:131 |
base_conversion | base_conversion:via-binary | n=85,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1010101 |
base_conversion | base_conversion:repeated-division | n=120,base=8 | DIV:120/8=15,r:0 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:170 |
base_conversion | base_conversion:via-binary | n=8,base=4 | BINLEN:4 ; CHUNK:0:2 ; CHUNK:1:0 ; OUT:20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 758+292 | round:760+292=1052 ; adjust:1052-2=1050 ; sum=1050 |
list_summation | list_summation:right-to-left | 7, 9, 7, 0 | 7+0=7 ; 9+7=16 ; 7+16=23 |
multidigit_addition | multidigit_addition:rounding-decomposition | 609+942 | round:610+942=1552 ; adjust:1552-1=1551 ; sum=1551 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(2,1) | D:(2,0) ; R:(2,1) |
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 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+24=48 | 4x+24=48 ; x=(48-24)/4 ; x=24/4 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 132+246 | round:140+246=386 ; adjust:386-8=378 ; sum=378 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 8, 4, 1, 6 | [8,0,4,1,6] ; [8,6,4,1,0] ; [0,6,4,1,8] ; [6,0,4,1,8] ; [6,1,4,0,8] ; [0,1,4,6,8] ; [4,1,0,6,8] ; [0,1,4,6,8] ; [1,0,4,6,8] ; [0,1,4,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+15=55 | 5x+15=55 ; x+3=11 ; x=11-3 ; x=8 |
list_summation | list_summation:left-to-right | 8, 7, 3, 6 | 8+7=15 ; 15+3=18 ; 18+6=24 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 0, 3, 9, 8 | [0,5,3,9,8] ; [0,3,5,9,8] ; [0,3,5,9,8] ; [0,3,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 153+778 | p100:100+700=800 ; p10:50+70=120 ; p1:3+8=11 ; sum=800+120+11=931 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=-63 | 9x+18=-63 ; 9x=-81 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=18 | 2x+16=18 ; x+8=9 ; x=9-8 ; x=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 1, 0, 7, 2 | [5,7,0,1,2] ; [7,5,0,1,2] ; [2,5,0,1,7] ; [5,2,0,1,7] ; [1,2,0,5,7] ; [2,1,0,5,7] ; [0,1,2,5,7] ; [1,0,2,5,7] ; [0,1,2,5,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-27=-36 | 3x-27=-36 ; 3x=-9 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(4,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=-24 | 4x+4=-24 ; x+1=-6 ; x=-6-1 ; x=-7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 801+283 | d2:1+3+0=4→w4,c0 ; d1:0+8+0=8→w8,c0 ; d0:8+2+0=10→w0,c1 ; sum=1084 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 8, 4, 2, 0 | [7,8,2,4,0] ; [2,4,7,8,0] ; [0,2,4,7,8] |
list_summation | list_summation:right-to-left | 7, 0, 8, 4 | 8+4=12 ; 0+12=12 ; 7+12=19 |
list_summation | list_summation:pairwise | 4, 0, 9, 7 | 4+0=4 ; 9+7=16 ; 4+16=20 |
list_summation | list_summation:left-to-right | 9, 2, 1, 0 | 9+2=11 ; 11+1=12 ; 12+0=12 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=-6 | 2x+8=-6 ; x=(-6-8)/2 ; x=-14/2 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 8, 4, 5, 9 | [2,4,5,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-8=2 | 2x-8=2 ; 2x=10 ; x=5 |
list_summation | list_summation:right-to-left | 2, 4, 8, 7 | 8+7=15 ; 4+15=19 ; 2+19=21 |
list_summation | list_summation:pairwise | 4, 4, 4, 2 | 4+4=8 ; 4+2=6 ; 8+6=14 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 5, 9, 7, 0 | [1,5,7,9,0] ; [1,5,7,0,9] ; [1,5,0,7,9] ; [1,0,5,7,9] ; [0,1,5,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 9, 1, 4, 8 | [0,9,1,4,8] ; [0,1,9,4,8] ; [0,1,4,9,8] ; [0,1,4,8,9] |
list_summation | list_summation:left-to-right | 2, 9, 4, 3 | 2+9=11 ; 11+4=15 ; 15+3=18 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(5,1) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 5, 9, 3, 8 | [2,8,9,3,5] ; [9,8,2,3,5] ; [5,8,2,3,9] ; [8,5,2,3,9] ; [3,5,2,8,9] ; [5,3,2,8,9] ; [2,3,5,8,9] ; [3,2,5,8,9] ; [2,3,5,8,9] |
list_summation | list_summation:right-to-left | 6, 0, 0, 5 | 0+5=5 ; 0+5=5 ; 6+5=11 |
base_conversion | base_conversion:via-binary | n=118,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:1312 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=-25 | 5x+10=-25 ; 5x=-35 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,5) | D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,4) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,3) | D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
base_conversion | base_conversion:decomposition | n=75,base=8 | TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:3*8^0=3 ; OUT:113 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 6, 8, 5, 2 | [8,6,4,5,2] ; [2,6,4,5,8] ; [6,2,4,5,8] ; [6,5,4,2,8] ; [2,5,4,6,8] ; [5,2,4,6,8] ; [4,2,5,6,8] ; [2,4,5,6,8] |
list_summation | list_summation:pairwise | 5, 1, 2, 4 | 5+1=6 ; 2+4=6 ; 6+6=12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+4=-12 | 2x+4=-12 ; 2x=-16 ; x=-8 |
list_summation | list_summation:pairwise | 3, 2, 7, 3 | 3+2=5 ; 7+3=10 ; 5+10=15 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 4, 8, 5 | [0,3,4,8,5] ; [0,3,4,8,5] ; [0,3,4,8,5] ; [0,3,4,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 195+621 | round:200+621=821 ; adjust:821-5=816 ; sum=816 |
base_conversion | base_conversion:decomposition | n=80,base=8 | TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:0*8^0=0 ; OUT:120 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(5,2) | D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 519+327 | round:520+327=847 ; adjust:847-1=846 ; sum=846 |
base_conversion | base_conversion:repeated-division | n=13,base=8 | DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:15 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+7=56 | 7x+7=56 ; x=(56-7)/7 ; x=49/7 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 0, 7, 4, 6 | 4+6=10 ; 7+10=17 ; 0+17=17 |
base_conversion | base_conversion:via-binary | n=140,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10001100 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=-3 | 3x+24=-3 ; x=(-3-24)/3 ; x=-27/3 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 510+459 | round:510+459=969 ; adjust:969-0=969 ; sum=969 |
multidigit_addition | multidigit_addition:right-to-left-carry | 491+859 | d2:1+9+0=10→w0,c1 ; d1:9+5+1=15→w5,c1 ; d0:4+8+1=13→w3,c1 ; sum=1350 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=20 | 4x+32=20 ; x=(20-32)/4 ; x=-12/4 ; x=-3 |
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) |
base_conversion | base_conversion:repeated-division | n=175,base=16 | DIV:175/16=10,r:15 ; DIV:10/16=0,r:10 ; OUT:AF |
base_conversion | base_conversion:repeated-division | n=206,base=2 | DIV:206/2=103,r:0 ; DIV:103/2=51,r:1 ; DIV:51/2=25,r:1 ; DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11001110 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+40=80 | 8x+40=80 ; x=(80-40)/8 ; x=40/8 ; x=5 |
list_summation | list_summation:pairwise | 2, 5, 5, 9 | 2+5=7 ; 5+9=14 ; 7+14=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=25 | 5x+10=25 ; x=(25-10)/5 ; x=15/5 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-4=-36 | 4x-4=-36 ; x+-1=-9 ; x=-9--1 ; x=-8 |
base_conversion | base_conversion:decomposition | n=25,base=4 | TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:121 |
list_summation | list_summation:pairwise | 3, 4, 4, 2 | 3+4=7 ; 4+2=6 ; 7+6=13 |
base_conversion | base_conversion:via-binary | n=230,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:6 ; OUT:346 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 3, 6, 2, 0 | [0,3,6,2,9] ; [0,2,6,3,9] ; [0,2,3,6,9] ; [0,2,3,6,9] |
list_summation | list_summation:left-to-right | 6, 6, 4, 2 | 6+6=12 ; 12+4=16 ; 16+2=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=12 | 6x-30=12 ; 6x=42 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=48 | 8x+8=48 ; x+1=6 ; x=6-1 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 219+516 | p100:200+500=700 ; p10:10+10=20 ; p1:9+6=15 ; sum=700+20+15=735 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 2, 1, 7 | [0,4,2,1,7] ; [0,2,4,1,7] ; [0,1,2,4,7] ; [0,1,2,4,7] |
base_conversion | base_conversion:via-binary | n=239,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:7 ; OUT:357 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(3,3) | D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-9=-27 | 3x-9=-27 ; x+-3=-9 ; x=-9--3 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,4) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
list_summation | list_summation:left-to-right | 2, 3, 3, 9 | 2+3=5 ; 5+3=8 ; 8+9=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 134+687 | p100:100+600=700 ; p10:30+80=110 ; p1:4+7=11 ; sum=700+110+11=821 |
multidigit_addition | multidigit_addition:right-to-left-carry | 558+413 | d2:8+3+0=11→w1,c1 ; d1:5+1+1=7→w7,c0 ; d0:5+4+0=9→w9,c0 ; sum=971 |
multidigit_addition | multidigit_addition:rounding-decomposition | 134+435 | round:140+435=575 ; adjust:575-6=569 ; sum=569 |
base_conversion | base_conversion:repeated-division | n=111,base=8 | DIV:111/8=13,r:7 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:157 |
list_summation | list_summation:right-to-left | 1, 9, 5, 9 | 5+9=14 ; 9+14=23 ; 1+23=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+45=63 | 9x+45=63 ; x+5=7 ; x=7-5 ; x=2 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 7, 3, 9, 5 | [8,9,3,7,5] ; [9,8,3,7,5] ; [5,8,3,7,9] ; [8,5,3,7,9] ; [8,7,3,5,9] ; [5,7,3,8,9] ; [7,5,3,8,9] ; [3,5,7,8,9] ; [5,3,7,8,9] ; [3,5,7,8,9] |
base_conversion | base_conversion:via-binary | n=217,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:3121 |
base_conversion | base_conversion:decomposition | n=219,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:3123 |
list_summation | list_summation:pairwise | 4, 3, 0, 3 | 4+3=7 ; 0+3=3 ; 7+3=10 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(3,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(1,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; R:(1,4) |
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