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:divide-then-subtract | 8x+16=80 | 8x+16=80 ; x+2=10 ; x=10-2 ; x=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 9, 8, 7 | [3,5,9,8,7] ; [3,5,8,9,7] ; [3,5,7,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,3) | D:(4,1) ; R:(4,2) ; R:(4,3) |
base_conversion | base_conversion:via-binary | n=194,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11000010 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(2,2) | R:(0,2) ; D:(1,2) ; D:(2,2) |
list_summation | list_summation:right-to-left | 2, 2, 2, 8 | 2+8=10 ; 2+10=12 ; 2+12=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+35=49 | 7x+35=49 ; 7x=14 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+12=60 | 6x+12=60 ; x=(60-12)/6 ; x=48/6 ; x=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 1, 8, 2 | [1,3,8,9,2] ; [1,2,3,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; D:(4,2) ; R:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+56=7 | 7x+56=7 ; 7x=-49 ; x=-7 |
base_conversion | base_conversion:repeated-division | n=56,base=4 | DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:320 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 5, 7, 8, 4 | [1,8,7,5,4] ; [8,1,7,5,4] ; [8,5,7,1,4] ; [4,5,7,1,8] ; [7,5,4,1,8] ; [1,5,4,7,8] ; [5,1,4,7,8] ; [4,1,5,7,8] ; [1,4,5,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 298+255 | round:300+255=555 ; adjust:555-2=553 ; sum=553 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-18=-6 | 3x-18=-6 ; 3x=12 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+64=120 | 8x+64=120 ; x+8=15 ; x=15-8 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 747+273 | d2:7+3+0=10→w0,c1 ; d1:4+7+1=12→w2,c1 ; d0:7+2+1=10→w0,c1 ; sum=1020 |
base_conversion | base_conversion:decomposition | n=48,base=16 | TERM:3*16^1=48 ; TERM:0*16^0=0 ; OUT:30 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(3,5) | D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(1,5) | D:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; D:(4,2) ; R:(4,3) |
list_summation | list_summation:pairwise | 1, 2, 7, 4 | 1+2=3 ; 7+4=11 ; 3+11=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(2,4) | D:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
list_summation | list_summation:left-to-right | 3, 9, 9, 2 | 3+9=12 ; 12+9=21 ; 21+2=23 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 4, 9, 0, 1 | [3,4,0,9,1] ; [3,4,0,1,9] ; [3,0,4,1,9] ; [3,0,1,4,9] ; [0,3,1,4,9] ; [0,1,3,4,9] |
base_conversion | base_conversion:repeated-division | n=158,base=4 | DIV:158/4=39,r:2 ; DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2132 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 0, 5, 4, 9 | [7,9,5,4,0] ; [9,7,5,4,0] ; [0,7,5,4,9] ; [7,0,5,4,9] ; [7,4,5,0,9] ; [0,4,5,7,9] ; [5,4,0,7,9] ; [0,4,5,7,9] ; [4,0,5,7,9] ; [0,4,5,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 259+433 | p100:200+400=600 ; p10:50+30=80 ; p1:9+3=12 ; sum=600+80+12=692 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+6=0 | 2x+6=0 ; 2x=-6 ; x=-3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 706+155 | round:710+155=865 ; adjust:865-4=861 ; sum=861 |
multidigit_addition | multidigit_addition:right-to-left-carry | 614+204 | d2:4+4+0=8→w8,c0 ; d1:1+0+0=1→w1,c0 ; d0:6+2+0=8→w8,c0 ; sum=818 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 0, 2, 7 | [3,7,0,2,5] ; [7,3,0,2,5] ; [7,5,0,2,3] ; [3,5,0,2,7] ; [5,3,0,2,7] ; [2,3,0,5,7] ; [3,2,0,5,7] ; [0,2,3,5,7] ; [2,0,3,5,7] ; [0,2,3,5,7] |
list_summation | list_summation:pairwise | 1, 0, 7, 8 | 1+0=1 ; 7+8=15 ; 1+15=16 |
base_conversion | base_conversion:decomposition | n=103,base=16 | TERM:6*16^1=96 ; TERM:7*16^0=7 ; OUT:67 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 5, 8, 7, 6 | [3,5,7,8,6] ; [3,5,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 728+692 | round:730+692=1422 ; adjust:1422-2=1420 ; sum=1420 |
multidigit_addition | multidigit_addition:rounding-decomposition | 750+119 | round:750+119=869 ; adjust:869-0=869 ; sum=869 |
list_summation | list_summation:right-to-left | 1, 9, 9, 9 | 9+9=18 ; 9+18=27 ; 1+27=28 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=127,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1111111 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 4, 6, 9, 8 | [3,4,6,9,8] ; [3,4,6,9,8] ; [3,4,6,9,8] ; [3,4,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 2, 6, 9, 1 | [3,9,6,2,1] ; [9,3,6,2,1] ; [1,3,6,2,9] ; [6,3,1,2,9] ; [2,3,1,6,9] ; [3,2,1,6,9] ; [1,2,3,6,9] ; [2,1,3,6,9] ; [1,2,3,6,9] |
list_summation | list_summation:pairwise | 3, 6, 4, 7 | 3+6=9 ; 4+7=11 ; 9+11=20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+6=-8 | 2x+6=-8 ; x+3=-4 ; x=-4-3 ; x=-7 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 1, 4, 8 | [1,5,2,4,8] ; [1,2,5,4,8] ; [1,2,4,5,8] ; [1,2,4,5,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=-70 | 7x-28=-70 ; x+-4=-10 ; x=-10--4 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+12=-16 | 4x+12=-16 ; 4x=-28 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=148,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:4 ; OUT:94 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 7, 8, 5, 4 | [7,9,8,5,4] ; [7,8,9,5,4] ; [7,8,5,9,4] ; [7,8,5,4,9] ; [7,5,8,4,9] ; [7,5,4,8,9] ; [5,7,4,8,9] ; [5,4,7,8,9] ; [4,5,7,8,9] |
base_conversion | base_conversion:decomposition | n=116,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1110100 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 2, 9, 3, 1 | [1,2,9,3,6] ; [1,2,9,3,6] ; [1,2,3,9,6] ; [1,2,3,6,9] |
list_summation | list_summation:left-to-right | 4, 8, 5, 9 | 4+8=12 ; 12+5=17 ; 17+9=26 |
base_conversion | base_conversion:via-binary | n=221,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3131 |
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 | 3, 7, 1, 4 | 1+4=5 ; 7+5=12 ; 3+12=15 |
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:heap-sort | 7, 4, 6, 5, 2 | [7,5,6,4,2] ; [2,5,6,4,7] ; [6,5,2,4,7] ; [4,5,2,6,7] ; [5,4,2,6,7] ; [2,4,5,6,7] ; [4,2,5,6,7] ; [2,4,5,6,7] |
list_summation | list_summation:right-to-left | 6, 9, 7, 6 | 7+6=13 ; 9+13=22 ; 6+22=28 |
list_summation | list_summation:right-to-left | 3, 5, 2, 5 | 2+5=7 ; 5+7=12 ; 3+12=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 298+968 | round:300+968=1268 ; adjust:1268-2=1266 ; sum=1266 |
list_summation | list_summation:left-to-right | 8, 7, 8, 3 | 8+7=15 ; 15+8=23 ; 23+3=26 |
base_conversion | base_conversion:via-binary | n=247,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:7 ; OUT:F7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(5,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+25=25 | 5x+25=25 ; x+5=5 ; x=5-5 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-14=-16 | 2x-14=-16 ; 2x=-2 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=-96 | 8x-48=-96 ; 8x=-48 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 574+721 | p100:500+700=1200 ; p10:70+20=90 ; p1:4+1=5 ; sum=1200+90+5=1295 |
list_summation | list_summation:left-to-right | 7, 2, 6, 0 | 7+2=9 ; 9+6=15 ; 15+0=15 |
list_summation | list_summation:pairwise | 1, 4, 7, 5 | 1+4=5 ; 7+5=12 ; 5+12=17 |
base_conversion | base_conversion:decomposition | n=16,base=8 | TERM:2*8^1=16 ; TERM:0*8^0=0 ; OUT:20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 245+191 | round:250+191=441 ; adjust:441-5=436 ; sum=436 |
list_summation | list_summation:left-to-right | 3, 7, 2, 0 | 3+7=10 ; 10+2=12 ; 12+0=12 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,4) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=14 | 2x+18=14 ; x=(14-18)/2 ; x=-4/2 ; x=-2 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 6, 8, 0, 9 | [0,6,8,3,9] ; [0,3,8,6,9] ; [0,3,6,8,9] ; [0,3,6,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+42=77 | 7x+42=77 ; 7x=35 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=-72 | 9x+9=-72 ; x=(-72-9)/9 ; x=-81/9 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-81=-117 | 9x-81=-117 ; x+-9=-13 ; x=-13--9 ; x=-4 |
base_conversion | base_conversion:via-binary | n=89,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:1121 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 131+129 | round:140+129=269 ; adjust:269-9=260 ; sum=260 |
multidigit_addition | multidigit_addition:right-to-left-carry | 769+761 | d2:9+1+0=10→w0,c1 ; d1:6+6+1=13→w3,c1 ; d0:7+7+1=15→w5,c1 ; sum=1530 |
multidigit_addition | multidigit_addition:right-to-left-carry | 793+645 | d2:3+5+0=8→w8,c0 ; d1:9+4+0=13→w3,c1 ; d0:7+6+1=14→w4,c1 ; sum=1438 |
list_summation | list_summation:right-to-left | 1, 5, 7, 0 | 7+0=7 ; 5+7=12 ; 1+12=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 658+394 | p100:600+300=900 ; p10:50+90=140 ; p1:8+4=12 ; sum=900+140+12=1052 |
list_summation | list_summation:left-to-right | 0, 6, 4, 3 | 0+6=6 ; 6+4=10 ; 10+3=13 |
base_conversion | base_conversion:via-binary | n=125,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:7 ; CHUNK:2:5 ; OUT:175 |
list_summation | list_summation:right-to-left | 2, 6, 5, 5 | 5+5=10 ; 6+10=16 ; 2+16=18 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,2) | D:(3,1) ; R:(3,2) |
base_conversion | base_conversion:decomposition | n=124,base=8 | TERM:1*8^2=64 ; TERM:7*8^1=56 ; TERM:4*8^0=4 ; OUT:174 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 4, 0, 6, 2 | [4,9,0,6,2] ; [0,4,9,6,2] ; [0,4,6,9,2] ; [0,2,4,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,5) | D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-35 | 7x-56=-35 ; x=(-35--56)/7 ; x=21/7 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 5, 3, 2, 8 | [0,3,5,2,8] ; [0,3,2,5,8] ; [0,2,3,5,8] |
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