task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 6, 1, 7, 4 | 6+1=7 ; 7+4=11 ; 7+11=18 |
base_conversion | base_conversion:decomposition | n=174,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:2232 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 9, 8, 1 | [2,7,9,8,1] ; [2,7,8,9,1] ; [1,2,7,8,9] |
list_summation | list_summation:pairwise | 0, 0, 1, 7 | 0+0=0 ; 1+7=8 ; 0+8=8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 5, 2, 9, 7 | [5,8,2,9,7] ; [5,2,8,9,7] ; [5,2,8,7,9] ; [2,5,8,7,9] ; [2,5,7,8,9] |
base_conversion | base_conversion:via-binary | n=246,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:6 ; CHUNK:2:6 ; OUT:366 |
multidigit_addition | multidigit_addition:left-to-right-partials | 846+964 | p100:800+900=1700 ; p10:40+60=100 ; p1:6+4=10 ; sum=1700+100+10=1810 |
base_conversion | base_conversion:via-binary | n=77,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:1031 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 4, 2, 6, 1 | [0,4,2,6,1] ; [0,2,4,6,1] ; [0,2,4,6,1] ; [0,1,2,4,6] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 3, 9, 1, 8 | [2,3,9,1,8] ; [2,3,9,1,8] ; [1,2,3,9,8] ; [1,2,3,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 437+867 | d2:7+7+0=14→w4,c1 ; d1:3+6+1=10→w0,c1 ; d0:4+8+1=13→w3,c1 ; sum=1304 |
list_summation | list_summation:pairwise | 0, 5, 1, 6 | 0+5=5 ; 1+6=7 ; 5+7=12 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=-35 | 5x-40=-35 ; x+-8=-7 ; x=-7--8 ; x=1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:left-to-right | 7, 6, 1, 7 | 7+6=13 ; 13+1=14 ; 14+7=21 |
base_conversion | base_conversion:decomposition | n=249,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:3321 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 2, 6, 1, 4 | [2,8,6,1,4] ; [2,6,8,1,4] ; [2,6,1,8,4] ; [2,6,1,4,8] ; [2,1,6,4,8] ; [2,1,4,6,8] ; [1,2,4,6,8] |
list_summation | list_summation:pairwise | 1, 7, 7, 7 | 1+7=8 ; 7+7=14 ; 8+14=22 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 6, 7, 5, 8 | [0,6,7,5,8] ; [0,5,7,6,8] ; [0,5,6,7,8] ; [0,5,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 226+199 | round:230+199=429 ; adjust:429-4=425 ; sum=425 |
list_summation | list_summation:right-to-left | 8, 2, 0, 5 | 0+5=5 ; 2+5=7 ; 8+7=15 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 1, 0, 2 | [3,9,0,1,2] ; [0,1,3,9,2] ; [0,1,2,3,9] |
list_summation | list_summation:right-to-left | 5, 0, 8, 3 | 8+3=11 ; 0+11=11 ; 5+11=16 |
base_conversion | base_conversion:decomposition | n=190,base=16 | TERM:11*16^1=176 ; TERM:14*16^0=14 ; OUT:BE |
multidigit_addition | multidigit_addition:rounding-decomposition | 772+256 | round:780+256=1036 ; adjust:1036-8=1028 ; sum=1028 |
list_summation | list_summation:pairwise | 7, 6, 9, 8 | 7+6=13 ; 9+8=17 ; 13+17=30 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 9, 4, 8, 4 | 9+4=13 ; 8+4=12 ; 13+12=25 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=-18 | 3x-12=-18 ; x=(-18--12)/3 ; x=-6/3 ; x=-2 |
list_summation | list_summation:left-to-right | 7, 8, 1, 6 | 7+8=15 ; 15+1=16 ; 16+6=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-48=-112 | 8x-48=-112 ; x=(-112--48)/8 ; x=-64/8 ; x=-8 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 7, 8, 1, 5 | [8,7,2,1,5] ; [5,7,2,1,8] ; [7,5,2,1,8] ; [1,5,2,7,8] ; [5,1,2,7,8] ; [2,1,5,7,8] ; [1,2,5,7,8] |
base_conversion | base_conversion:decomposition | n=96,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:0*8^0=0 ; OUT:140 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-5=35 | 5x-5=35 ; 5x=40 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,4) | D:(3,2) ; R:(3,3) ; R:(3,4) |
base_conversion | base_conversion:decomposition | n=115,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:1303 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 7, 6, 9 | [3,8,7,6,9] ; [3,6,7,8,9] ; [3,6,7,8,9] ; [3,6,7,8,9] |
list_summation | list_summation:pairwise | 5, 9, 2, 2 | 5+9=14 ; 2+2=4 ; 14+4=18 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 7, 6, 0 | [5,7,8,6,0] ; [5,7,6,8,0] ; [5,7,6,0,8] ; [5,6,7,0,8] ; [5,6,0,7,8] ; [5,0,6,7,8] ; [0,5,6,7,8] |
base_conversion | base_conversion:decomposition | n=46,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:101110 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+40=35 | 5x+40=35 ; x=(35-40)/5 ; x=-5/5 ; x=-1 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 7, 3, 8, 1 | [4,8,3,7,1] ; [8,4,3,7,1] ; [8,7,3,4,1] ; [1,7,3,4,8] ; [7,1,3,4,8] ; [7,4,3,1,8] ; [1,4,3,7,8] ; [4,1,3,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8] |
list_summation | list_summation:left-to-right | 2, 8, 2, 2 | 2+8=10 ; 10+2=12 ; 12+2=14 |
list_summation | list_summation:pairwise | 0, 8, 0, 2 | 0+8=8 ; 0+2=2 ; 8+2=10 |
list_summation | list_summation:left-to-right | 9, 7, 3, 0 | 9+7=16 ; 16+3=19 ; 19+0=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 183+800 | d2:3+0+0=3→w3,c0 ; d1:8+0+0=8→w8,c0 ; d0:1+8+0=9→w9,c0 ; sum=983 |
multidigit_addition | multidigit_addition:rounding-decomposition | 737+669 | round:740+669=1409 ; adjust:1409-3=1406 ; sum=1406 |
multidigit_addition | multidigit_addition:left-to-right-partials | 965+740 | p100:900+700=1600 ; p10:60+40=100 ; p1:5+0=5 ; sum=1600+100+5=1705 |
multidigit_addition | multidigit_addition:right-to-left-carry | 412+104 | d2:2+4+0=6→w6,c0 ; d1:1+0+0=1→w1,c0 ; d0:4+1+0=5→w5,c0 ; sum=516 |
list_summation | list_summation:right-to-left | 8, 9, 1, 1 | 1+1=2 ; 9+2=11 ; 8+11=19 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 0, 3, 5 | [6,5,0,3,4] ; [4,5,0,3,6] ; [5,4,0,3,6] ; [3,4,0,5,6] ; [4,3,0,5,6] ; [0,3,4,5,6] ; [3,0,4,5,6] ; [0,3,4,5,6] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 3, 5, 2, 1 | [3,7,5,2,1] ; [3,5,7,2,1] ; [2,3,5,7,1] ; [1,2,3,5,7] |
list_summation | list_summation:left-to-right | 6, 5, 2, 3 | 6+5=11 ; 11+2=13 ; 13+3=16 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=4 | 2x+8=4 ; x=(4-8)/2 ; x=-4/2 ; x=-2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 0, 1, 6 | [2,8,0,1,6] ; [0,2,8,1,6] ; [0,1,2,8,6] ; [0,1,2,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 292+526 | d2:2+6+0=8→w8,c0 ; d1:9+2+0=11→w1,c1 ; d0:2+5+1=8→w8,c0 ; sum=818 |
base_conversion | base_conversion:decomposition | n=103,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:147 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 0, 9, 5 | [0,4,7,9,5] ; [0,4,5,7,9] |
base_conversion | base_conversion:via-binary | n=59,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:3 ; OUT:323 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-12=-30 | 6x-12=-30 ; x=(-30--12)/6 ; x=-18/6 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 130+344 | p100:100+300=400 ; p10:30+40=70 ; p1:0+4=4 ; sum=400+70+4=474 |
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) |
multidigit_addition | multidigit_addition:rounding-decomposition | 412+836 | round:420+836=1256 ; adjust:1256-8=1248 ; sum=1248 |
list_summation | list_summation:pairwise | 1, 2, 2, 2 | 1+2=3 ; 2+2=4 ; 3+4=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 693+595 | round:700+595=1295 ; adjust:1295-7=1288 ; sum=1288 |
list_summation | list_summation:left-to-right | 2, 0, 5, 6 | 2+0=2 ; 2+5=7 ; 7+6=13 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 4, 1, 3, 7 | [5,7,1,3,4] ; [7,5,1,3,4] ; [4,5,1,3,7] ; [5,4,1,3,7] ; [3,4,1,5,7] ; [4,3,1,5,7] ; [1,3,4,5,7] ; [3,1,4,5,7] ; [1,3,4,5,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-18=-45 | 9x-18=-45 ; 9x=-27 ; x=-3 |
base_conversion | base_conversion:via-binary | n=177,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2301 |
base_conversion | base_conversion:repeated-division | n=251,base=8 | DIV:251/8=31,r:3 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:373 |
list_summation | list_summation:right-to-left | 9, 7, 5, 1 | 5+1=6 ; 7+6=13 ; 9+13=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+0=28 | 4x+0=28 ; x+0=7 ; x=7-0 ; x=7 |
list_summation | list_summation:pairwise | 9, 3, 0, 4 | 9+3=12 ; 0+4=4 ; 12+4=16 |
base_conversion | base_conversion:repeated-division | n=50,base=4 | DIV:50/4=12,r:2 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:302 |
multidigit_addition | multidigit_addition:right-to-left-carry | 636+141 | d2:6+1+0=7→w7,c0 ; d1:3+4+0=7→w7,c0 ; d0:6+1+0=7→w7,c0 ; sum=777 |
list_summation | list_summation:right-to-left | 7, 5, 4, 6 | 4+6=10 ; 5+10=15 ; 7+15=22 |
base_conversion | base_conversion:decomposition | n=140,base=8 | TERM:2*8^2=128 ; TERM:1*8^1=8 ; TERM:4*8^0=4 ; OUT:214 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 0, 7, 3, 2 | [0,9,7,3,2] ; [0,9,3,7,2] ; [0,3,7,9,2] ; [0,2,3,7,9] |
list_summation | list_summation:left-to-right | 9, 5, 1, 4 | 9+5=14 ; 14+1=15 ; 15+4=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 843+325 | round:850+325=1175 ; adjust:1175-7=1168 ; sum=1168 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 830+271 | p100:800+200=1000 ; p10:30+70=100 ; p1:0+1=1 ; sum=1000+100+1=1101 |
list_summation | list_summation:pairwise | 0, 5, 0, 1 | 0+5=5 ; 0+1=1 ; 5+1=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-18=63 | 9x-18=63 ; x+-2=7 ; x=7--2 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-56=-49 | 7x-56=-49 ; 7x=7 ; x=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 9, 7, 5, 6 | [9,3,7,5,6] ; [9,6,7,5,3] ; [3,6,7,5,9] ; [7,6,3,5,9] ; [5,6,3,7,9] ; [6,5,3,7,9] ; [3,5,6,7,9] ; [5,3,6,7,9] ; [3,5,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+21=35 | 7x+21=35 ; x=(35-21)/7 ; x=14/7 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 947+800 | p100:900+800=1700 ; p10:40+0=40 ; p1:7+0=7 ; sum=1700+40+7=1747 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 7, 7, 8, 2 | 7+7=14 ; 14+8=22 ; 22+2=24 |
list_summation | list_summation:right-to-left | 5, 4, 0, 9 | 0+9=9 ; 4+9=13 ; 5+13=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 627+436 | d2:7+6+0=13→w3,c1 ; d1:2+3+1=6→w6,c0 ; d0:6+4+0=10→w0,c1 ; sum=1063 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-6=42 | 6x-6=42 ; x=(42--6)/6 ; x=48/6 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 288+505 | d2:8+5+0=13→w3,c1 ; d1:8+0+1=9→w9,c0 ; d0:2+5+0=7→w7,c0 ; sum=793 |
multidigit_addition | multidigit_addition:right-to-left-carry | 793+302 | d2:3+2+0=5→w5,c0 ; d1:9+0+0=9→w9,c0 ; d0:7+3+0=10→w0,c1 ; sum=1095 |
list_summation | list_summation:right-to-left | 9, 2, 6, 4 | 6+4=10 ; 2+10=12 ; 9+12=21 |
list_summation | list_summation:pairwise | 6, 2, 7, 7 | 6+2=8 ; 7+7=14 ; 8+14=22 |
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