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=33,base=16 | DIV:33/16=2,r:1 ; DIV:2/16=0,r:2 ; OUT:21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 537+747 | round:540+747=1287 ; adjust:1287-3=1284 ; sum=1284 |
list_summation | list_summation:right-to-left | 4, 4, 6, 9 | 6+9=15 ; 4+15=19 ; 4+19=23 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-72=-104 | 8x-72=-104 ; x=(-104--72)/8 ; x=-32/8 ; x=-4 |
list_summation | list_summation:pairwise | 5, 4, 4, 8 | 5+4=9 ; 4+8=12 ; 9+12=21 |
base_conversion | base_conversion:repeated-division | n=135,base=2 | DIV:135/2=67,r:1 ; DIV:67/2=33,r:1 ; DIV:33/2=16,r:1 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10000111 |
list_summation | list_summation:right-to-left | 1, 0, 2, 5 | 2+5=7 ; 0+7=7 ; 1+7=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,5) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
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 | 6, 7, 2, 9, 5 | [6,2,7,9,5] ; [6,2,7,5,9] ; [2,6,7,5,9] ; [2,6,5,7,9] ; [2,5,6,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(4,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 8, 9, 8, 4 | 8+9=17 ; 8+4=12 ; 17+12=29 |
base_conversion | base_conversion:decomposition | n=183,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; 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:10110111 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=-50 | 5x-45=-50 ; 5x=-5 ; x=-1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 2, 0, 5, 8 | [1,0,2,5,8] ; [0,1,2,5,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 4, 0, 2, 3 | [0,4,5,2,3] ; [0,2,5,4,3] ; [0,2,3,4,5] ; [0,2,3,4,5] |
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:right-to-left | 5, 8, 8, 8 | 8+8=16 ; 8+16=24 ; 5+24=29 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+40=30 | 5x+40=30 ; 5x=-10 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,4) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 9, 8, 6, 5 | [2,9,8,6,5] ; [2,5,8,6,9] ; [2,5,6,8,9] ; [2,5,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-16=-16 | 4x-16=-16 ; x+-4=-4 ; x=-4--4 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 517+387 | p100:500+300=800 ; p10:10+80=90 ; p1:7+7=14 ; sum=800+90+14=904 |
list_summation | list_summation:right-to-left | 8, 8, 1, 4 | 1+4=5 ; 8+5=13 ; 8+13=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 959+753 | round:960+753=1713 ; adjust:1713-1=1712 ; sum=1712 |
list_summation | list_summation:left-to-right | 9, 3, 4, 7 | 9+3=12 ; 12+4=16 ; 16+7=23 |
multidigit_addition | multidigit_addition:right-to-left-carry | 955+511 | d2:5+1+0=6→w6,c0 ; d1:5+1+0=6→w6,c0 ; d0:9+5+0=14→w4,c1 ; sum=1466 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
list_summation | list_summation:right-to-left | 6, 6, 0, 3 | 0+3=3 ; 6+3=9 ; 6+9=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 554+449 | round:560+449=1009 ; adjust:1009-6=1003 ; sum=1003 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,2) | R:(2,1) ; D:(3,1) ; R:(3,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-12=-18 | 6x-12=-18 ; x+-2=-3 ; x=-3--2 ; x=-1 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 9, 3, 7, 6 | [9,4,3,7,6] ; [9,7,3,4,6] ; [6,7,3,4,9] ; [7,6,3,4,9] ; [4,6,3,7,9] ; [6,4,3,7,9] ; [3,4,6,7,9] ; [4,3,6,7,9] ; [3,4,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=15 | 5x+35=15 ; x=(15-35)/5 ; x=-20/5 ; x=-4 |
list_summation | list_summation:right-to-left | 4, 7, 7, 8 | 7+8=15 ; 7+15=22 ; 4+22=26 |
base_conversion | base_conversion:decomposition | n=193,base=8 | TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:1*8^0=1 ; OUT:301 |
multidigit_addition | multidigit_addition:rounding-decomposition | 882+701 | round:890+701=1591 ; adjust:1591-8=1583 ; sum=1583 |
list_summation | list_summation:left-to-right | 1, 9, 0, 2 | 1+9=10 ; 10+0=10 ; 10+2=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 400+247 | p100:400+200=600 ; p10:0+40=40 ; p1:0+7=7 ; sum=600+40+7=647 |
multidigit_addition | multidigit_addition:rounding-decomposition | 995+335 | round:1000+335=1335 ; adjust:1335-5=1330 ; sum=1330 |
base_conversion | base_conversion:decomposition | n=176,base=16 | TERM:11*16^1=176 ; TERM:0*16^0=0 ; OUT:B0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+42=-7 | 7x+42=-7 ; x+6=-1 ; x=-1-6 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-48=-30 | 6x-48=-30 ; 6x=18 ; x=3 |
base_conversion | base_conversion:decomposition | n=238,base=16 | TERM:14*16^1=224 ; TERM:14*16^0=14 ; OUT:EE |
list_summation | list_summation:left-to-right | 2, 5, 9, 2 | 2+5=7 ; 7+9=16 ; 16+2=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 467+410 | round:470+410=880 ; adjust:880-3=877 ; sum=877 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=-24 | 8x-16=-24 ; 8x=-8 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=253,base=16 | DIV:253/16=15,r:13 ; DIV:15/16=0,r:15 ; OUT:FD |
list_summation | list_summation:pairwise | 5, 6, 0, 4 | 5+6=11 ; 0+4=4 ; 11+4=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,5) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; 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=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 234+393 | p100:200+300=500 ; p10:30+90=120 ; p1:4+3=7 ; sum=500+120+7=627 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-14=-63 | 7x-14=-63 ; x+-2=-9 ; x=-9--2 ; x=-7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 9, 0, 3, 8 | [5,9,0,3,8] ; [0,5,9,3,8] ; [0,3,5,9,8] ; [0,3,5,8,9] |
base_conversion | base_conversion:via-binary | n=2,base=8 | BINLEN:2 ; CHUNK:0:2 ; OUT:2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 1, 3, 8, 0 | [1,9,3,8,0] ; [1,3,9,8,0] ; [1,3,8,9,0] ; [1,3,8,0,9] ; [1,3,0,8,9] ; [1,0,3,8,9] ; [0,1,3,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+8=72 | 8x+8=72 ; x=(72-8)/8 ; x=64/8 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=50 | 5x+20=50 ; x=(50-20)/5 ; x=30/5 ; x=6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 7, 8, 1 | [4,5,7,1,8] ; [4,5,1,7,8] ; [4,1,5,7,8] ; [1,4,5,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 6, 7, 5, 2 | [0,6,7,5,2] ; [0,2,7,5,6] ; [0,2,5,7,6] ; [0,2,5,6,7] |
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 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 4, 8, 6, 3 | [1,6,8,4,3] ; [8,6,1,4,3] ; [3,6,1,4,8] ; [6,3,1,4,8] ; [6,4,1,3,8] ; [3,4,1,6,8] ; [4,3,1,6,8] ; [1,3,4,6,8] ; [3,1,4,6,8] ; [1,3,4,6,8] |
base_conversion | base_conversion:decomposition | n=237,base=8 | TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:5*8^0=5 ; OUT:355 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=-36 | 3x-21=-36 ; 3x=-15 ; x=-5 |
base_conversion | base_conversion:decomposition | n=18,base=16 | TERM:1*16^1=16 ; TERM:2*16^0=2 ; OUT:12 |
base_conversion | base_conversion:repeated-division | n=224,base=8 | DIV:224/8=28,r:0 ; DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:340 |
list_summation | list_summation:pairwise | 2, 2, 1, 2 | 2+2=4 ; 1+2=3 ; 4+3=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 204+259 | p100:200+200=400 ; p10:0+50=50 ; p1:4+9=13 ; sum=400+50+13=463 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+6=-15 | 3x+6=-15 ; 3x=-21 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=20 | 4x+24=20 ; 4x=-4 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 285+782 | d2:5+2+0=7→w7,c0 ; d1:8+8+0=16→w6,c1 ; d0:2+7+1=10→w0,c1 ; sum=1067 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 6, 6, 9, 0 | 9+0=9 ; 6+9=15 ; 6+15=21 |
list_summation | list_summation:pairwise | 3, 6, 3, 7 | 3+6=9 ; 3+7=10 ; 9+10=19 |
base_conversion | base_conversion:decomposition | n=24,base=4 | TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:120 |
multidigit_addition | multidigit_addition:left-to-right-partials | 222+269 | p100:200+200=400 ; p10:20+60=80 ; p1:2+9=11 ; sum=400+80+11=491 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 7, 2, 5, 3 | [7,9,2,5,3] ; [7,2,9,5,3] ; [7,2,5,9,3] ; [7,2,5,3,9] ; [2,7,5,3,9] ; [2,5,7,3,9] ; [2,5,3,7,9] ; [2,3,5,7,9] |
base_conversion | base_conversion:via-binary | n=84,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:4 ; OUT:54 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(3,4) | R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 4, 0, 7, 8 | [2,4,0,7,8] ; [0,2,4,7,8] ; [0,2,4,7,8] ; [0,2,4,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 486+250 | d2:6+0+0=6→w6,c0 ; d1:8+5+0=13→w3,c1 ; d0:4+2+1=7→w7,c0 ; sum=736 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; D:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,2) | D:(3,1) ; R:(3,2) |
list_summation | list_summation:pairwise | 8, 5, 2, 1 | 8+5=13 ; 2+1=3 ; 13+3=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+30=66 | 6x+30=66 ; 6x=36 ; x=6 |
list_summation | list_summation:pairwise | 5, 3, 5, 6 | 5+3=8 ; 5+6=11 ; 8+11=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:decomposition | n=35,base=8 | TERM:4*8^1=32 ; TERM:3*8^0=3 ; OUT:43 |
base_conversion | base_conversion:repeated-division | n=215,base=4 | DIV:215/4=53,r:3 ; DIV:53/4=13,r:1 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3113 |
base_conversion | base_conversion:decomposition | n=196,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:3010 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 9, 4, 8, 3 | [0,4,8,9,3] ; [0,3,4,8,9] |
base_conversion | base_conversion:decomposition | n=8,base=16 | TERM:8*16^0=8 ; OUT:8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+15=15 | 3x+15=15 ; 3x=0 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 611+230 | p100:600+200=800 ; p10:10+30=40 ; p1:1+0=1 ; sum=800+40+1=841 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 3, 2, 7, 4 | [0,2,3,7,4] ; [0,2,3,4,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 3, 9, 4, 7 | [3,6,9,4,7] ; [3,4,9,6,7] ; [3,4,6,9,7] ; [3,4,6,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 0, 4, 2, 3 | [0,1,4,2,3] ; [0,1,4,2,3] ; [0,1,2,4,3] ; [0,1,2,3,4] |
base_conversion | base_conversion:via-binary | n=131,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10000011 |
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