task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 7, 0, 9 | [2,6,0,7,9] ; [2,0,6,7,9] ; [0,2,6,7,9] |
base_conversion | base_conversion:repeated-division | n=41,base=2 | DIV:41/2=20,r:1 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:101001 |
multidigit_addition | multidigit_addition:right-to-left-carry | 276+700 | d2:6+0+0=6→w6,c0 ; d1:7+0+0=7→w7,c0 ; d0:2+7+0=9→w9,c0 ; sum=976 |
multidigit_addition | multidigit_addition:left-to-right-partials | 108+983 | p100:100+900=1000 ; p10:0+80=80 ; p1:8+3=11 ; sum=1000+80+11=1091 |
base_conversion | base_conversion:decomposition | n=230,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:346 |
base_conversion | base_conversion:decomposition | n=58,base=4 | TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:322 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+28=36 | 4x+28=36 ; x=(36-28)/4 ; x=8/4 ; x=2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=28 | 2x+12=28 ; 2x=16 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(5,2) | R:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 635+925 | round:640+925=1565 ; adjust:1565-5=1560 ; sum=1560 |
multidigit_addition | multidigit_addition:rounding-decomposition | 827+839 | round:830+839=1669 ; adjust:1669-3=1666 ; sum=1666 |
list_summation | list_summation:right-to-left | 6, 6, 1, 7 | 1+7=8 ; 6+8=14 ; 6+14=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 193+280 | round:200+280=480 ; adjust:480-7=473 ; sum=473 |
multidigit_addition | multidigit_addition:rounding-decomposition | 361+114 | round:370+114=484 ; adjust:484-9=475 ; sum=475 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-28=0 | 4x-28=0 ; x+-7=0 ; x=0--7 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=0 | 2x+0=0 ; 2x=0 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 193+476 | p100:100+400=500 ; p10:90+70=160 ; p1:3+6=9 ; sum=500+160+9=669 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 3, 4, 2, 6 | [1,3,2,4,6] ; [1,2,3,4,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=96 | 8x+64=96 ; 8x=32 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=-4 | 4x-36=-4 ; 4x=32 ; x=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 512+847 | round:520+847=1367 ; adjust:1367-8=1359 ; sum=1359 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-63=-72 | 9x-63=-72 ; 9x=-9 ; x=-1 |
base_conversion | base_conversion:via-binary | n=138,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10001010 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-18=9 | 3x-18=9 ; x+-6=3 ; x=3--6 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 384+893 | p100:300+800=1100 ; p10:80+90=170 ; p1:4+3=7 ; sum=1100+170+7=1277 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=32 | 8x+8=32 ; x+1=4 ; x=4-1 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 320+675 | d2:0+5+0=5→w5,c0 ; d1:2+7+0=9→w9,c0 ; d0:3+6+0=9→w9,c0 ; sum=995 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-32 | 2x-16=-32 ; 2x=-16 ; x=-8 |
base_conversion | base_conversion:decomposition | n=159,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:7*8^0=7 ; OUT:237 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
list_summation | list_summation:right-to-left | 5, 2, 1, 8 | 1+8=9 ; 2+9=11 ; 5+11=16 |
base_conversion | base_conversion:decomposition | n=25,base=16 | TERM:1*16^1=16 ; TERM:9*16^0=9 ; OUT:19 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-64 | 4x-32=-64 ; 4x=-32 ; x=-8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,4) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+7=-42 | 7x+7=-42 ; x=(-42-7)/7 ; x=-49/7 ; x=-7 |
base_conversion | base_conversion:decomposition | n=82,base=8 | TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:2*8^0=2 ; OUT:122 |
list_summation | list_summation:right-to-left | 4, 0, 6, 2 | 6+2=8 ; 0+8=8 ; 4+8=12 |
base_conversion | base_conversion:decomposition | n=52,base=8 | TERM:6*8^1=48 ; TERM:4*8^0=4 ; OUT:64 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=6 | 3x+12=6 ; x=(6-12)/3 ; x=-6/3 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-9=-3 | 3x-9=-3 ; x=(-3--9)/3 ; x=6/3 ; x=2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 5, 8, 6, 9 | [0,5,8,6,9] ; [0,5,8,6,9] ; [0,5,6,8,9] ; [0,5,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(5,2) | R:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:left-to-right | 7, 8, 7, 0 | 7+8=15 ; 15+7=22 ; 22+0=22 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 0, 9, 6, 2 | [0,8,9,6,2] ; [0,8,6,9,2] ; [0,8,6,2,9] ; [0,6,8,2,9] ; [0,6,2,8,9] ; [0,2,6,8,9] |
list_summation | list_summation:left-to-right | 6, 7, 4, 4 | 6+7=13 ; 13+4=17 ; 17+4=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 440+903 | round:440+903=1343 ; adjust:1343-0=1343 ; sum=1343 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 351+891 | p100:300+800=1100 ; p10:50+90=140 ; p1:1+1=2 ; sum=1100+140+2=1242 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 8, 5, 1, 9 | [7,8,5,1,9] ; [5,7,8,1,9] ; [1,5,7,8,9] ; [1,5,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,5) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=0 | 5x+15=0 ; 5x=-15 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 725+322 | d2:5+2+0=7→w7,c0 ; d1:2+2+0=4→w4,c0 ; d0:7+3+0=10→w0,c1 ; sum=1047 |
base_conversion | base_conversion:via-binary | n=126,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:1332 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+6=16 | 2x+6=16 ; x=(16-6)/2 ; x=10/2 ; x=5 |
base_conversion | base_conversion:via-binary | n=245,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:3311 |
multidigit_addition | multidigit_addition:left-to-right-partials | 484+808 | p100:400+800=1200 ; p10:80+0=80 ; p1:4+8=12 ; sum=1200+80+12=1292 |
base_conversion | base_conversion:repeated-division | n=100,base=2 | DIV:100/2=50,r:0 ; DIV:50/2=25,r:0 ; 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:1100100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 303+678 | p100:300+600=900 ; p10:0+70=70 ; p1:3+8=11 ; sum=900+70+11=981 |
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 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+8=-8 | 2x+8=-8 ; x+4=-4 ; x=-4-4 ; x=-8 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 9, 5, 6, 4 | [9,3,5,6,4] ; [9,6,5,3,4] ; [4,6,5,3,9] ; [6,4,5,3,9] ; [3,4,5,6,9] ; [5,4,3,6,9] ; [3,4,5,6,9] ; [4,3,5,6,9] ; [3,4,5,6,9] |
base_conversion | base_conversion:via-binary | n=152,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2120 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=-16 | 2x-10=-16 ; x=(-16--10)/2 ; x=-6/2 ; x=-3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=90 | 9x+27=90 ; 9x=63 ; x=7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 417+901 | round:420+901=1321 ; adjust:1321-3=1318 ; sum=1318 |
list_summation | list_summation:pairwise | 3, 4, 4, 5 | 3+4=7 ; 4+5=9 ; 7+9=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 1, 6, 2, 5 | [1,3,6,2,5] ; [1,3,6,2,5] ; [1,2,3,6,5] ; [1,2,3,5,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=-63 | 9x-18=-63 ; x=(-63--18)/9 ; x=-45/9 ; x=-5 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 2, 8, 5, 4 | [2,6,8,5,4] ; [2,6,5,8,4] ; [2,5,6,8,4] ; [2,4,5,6,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 6, 1, 7, 2 | [1,6,5,7,2] ; [1,2,5,7,6] ; [1,2,5,7,6] ; [1,2,5,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 886+217 | round:890+217=1107 ; adjust:1107-4=1103 ; sum=1103 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,5) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=83,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1103 |
list_summation | list_summation:pairwise | 2, 8, 5, 7 | 2+8=10 ; 5+7=12 ; 10+12=22 |
base_conversion | base_conversion:via-binary | n=53,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:5 ; OUT:35 |
multidigit_addition | multidigit_addition:left-to-right-partials | 729+619 | p100:700+600=1300 ; p10:20+10=30 ; p1:9+9=18 ; sum=1300+30+18=1348 |
multidigit_addition | multidigit_addition:left-to-right-partials | 519+593 | p100:500+500=1000 ; p10:10+90=100 ; p1:9+3=12 ; sum=1000+100+12=1112 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+63=81 | 9x+63=81 ; x=(81-63)/9 ; x=18/9 ; x=2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 210+672 | d2:0+2+0=2→w2,c0 ; d1:1+7+0=8→w8,c0 ; d0:2+6+0=8→w8,c0 ; sum=882 |
list_summation | list_summation:left-to-right | 2, 9, 8, 0 | 2+9=11 ; 11+8=19 ; 19+0=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 6, 3, 2, 8 | [6,9,3,2,8] ; [6,9,2,3,8] ; [2,3,6,9,8] ; [2,3,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 7, 4, 0, 9 | [7,8,4,0,9] ; [4,7,8,0,9] ; [0,4,7,8,9] ; [0,4,7,8,9] |
list_summation | list_summation:right-to-left | 3, 4, 9, 0 | 9+0=9 ; 4+9=13 ; 3+13=16 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,2) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 9, 5, 0 | [1,7,9,5,0] ; [1,7,5,9,0] ; [1,7,5,0,9] ; [1,5,7,0,9] ; [1,5,0,7,9] ; [1,0,5,7,9] ; [0,1,5,7,9] |
list_summation | list_summation:right-to-left | 7, 9, 6, 4 | 6+4=10 ; 9+10=19 ; 7+19=26 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 2, 4, 7, 6 | [2,8,4,7,6] ; [2,4,8,7,6] ; [2,4,7,8,6] ; [2,4,7,6,8] ; [2,4,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 6, 9, 5, 4 | 6+9=15 ; 5+4=9 ; 15+9=24 |
list_summation | list_summation:right-to-left | 7, 7, 6, 6 | 6+6=12 ; 7+12=19 ; 7+19=26 |
base_conversion | base_conversion:repeated-division | n=34,base=4 | DIV:34/4=8,r:2 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:202 |
list_summation | list_summation:pairwise | 0, 9, 3, 5 | 0+9=9 ; 3+5=8 ; 9+8=17 |
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