task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:right-to-left-carry | 409+357 | d2:9+7+0=16→w6,c1 ; d1:0+5+1=6→w6,c0 ; d0:4+3+0=7→w7,c0 ; sum=766 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-72=-153 | 9x-72=-153 ; 9x=-81 ; x=-9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 9, 4, 6 | [1,8,9,4,6] ; [1,8,4,9,6] ; [1,8,4,6,9] ; [1,4,8,6,9] ; [1,4,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+35=55 | 5x+35=55 ; x+7=11 ; x=11-7 ; x=4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(3,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 7, 0, 6 | [1,9,7,0,6] ; [1,9,0,7,6] ; [0,1,7,9,6] ; [0,1,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=32 | 8x+24=32 ; 8x=8 ; x=1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 4, 1, 6, 3 | [0,1,4,6,3] ; [0,1,4,3,6] ; [0,1,3,4,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+56=21 | 7x+56=21 ; x+8=3 ; x=3-8 ; x=-5 |
list_summation | list_summation:left-to-right | 4, 0, 2, 1 | 4+0=4 ; 4+2=6 ; 6+1=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 232+880 | p100:200+800=1000 ; p10:30+80=110 ; p1:2+0=2 ; sum=1000+110+2=1112 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=0 | 7x-7=0 ; 7x=7 ; x=1 |
base_conversion | base_conversion:decomposition | n=238,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:3232 |
base_conversion | base_conversion:repeated-division | n=36,base=2 | DIV:36/2=18,r:0 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100100 |
base_conversion | base_conversion:repeated-division | n=183,base=8 | DIV:183/8=22,r:7 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:267 |
list_summation | list_summation:right-to-left | 7, 3, 9, 8 | 9+8=17 ; 3+17=20 ; 7+20=27 |
multidigit_addition | multidigit_addition:right-to-left-carry | 680+947 | d2:0+7+0=7→w7,c0 ; d1:8+4+0=12→w2,c1 ; d0:6+9+1=16→w6,c1 ; sum=1627 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 7, 0, 5, 2 | [2,7,0,5,9] ; [7,2,0,5,9] ; [7,5,0,2,9] ; [2,5,0,7,9] ; [5,2,0,7,9] ; [0,2,5,7,9] ; [2,0,5,7,9] ; [0,2,5,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 1, 3, 4, 2 | [1,5,3,4,2] ; [1,2,3,4,5] ; [1,2,3,4,5] ; [1,2,3,4,5] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-8=8 | 2x-8=8 ; 2x=16 ; x=8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 5, 8, 6 | [1,4,5,8,6] ; [1,4,5,8,6] ; [1,4,5,8,6] ; [1,4,5,6,8] |
base_conversion | base_conversion:via-binary | n=150,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:6 ; OUT:96 |
list_summation | list_summation:left-to-right | 6, 9, 7, 7 | 6+9=15 ; 15+7=22 ; 22+7=29 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 686+766 | d2:6+6+0=12→w2,c1 ; d1:8+6+1=15→w5,c1 ; d0:6+7+1=14→w4,c1 ; sum=1452 |
multidigit_addition | multidigit_addition:left-to-right-partials | 443+858 | p100:400+800=1200 ; p10:40+50=90 ; p1:3+8=11 ; sum=1200+90+11=1301 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(3,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 6, 3, 6, 6 | 6+3=9 ; 6+6=12 ; 9+12=21 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 7, 1, 0 | [3,9,1,7,0] ; [1,3,7,9,0] ; [0,1,3,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(1,5) | R:(0,4) ; R:(0,5) ; D:(1,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 3, 6, 2, 1 | [1,3,6,2,8] ; [6,3,1,2,8] ; [2,3,1,6,8] ; [3,2,1,6,8] ; [1,2,3,6,8] ; [2,1,3,6,8] ; [1,2,3,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 4, 0, 9, 8 | [2,4,0,9,8] ; [0,2,4,9,8] ; [0,2,4,9,8] ; [0,2,4,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 0, 7, 8 | [4,6,0,7,8] ; [4,0,6,7,8] ; [0,4,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 362+799 | p100:300+700=1000 ; p10:60+90=150 ; p1:2+9=11 ; sum=1000+150+11=1161 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(2,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 7, 2, 3, 6 | [2,7,5,3,6] ; [2,3,5,7,6] ; [2,3,5,7,6] ; [2,3,5,6,7] |
list_summation | list_summation:pairwise | 2, 1, 5, 8 | 2+1=3 ; 5+8=13 ; 3+13=16 |
list_summation | list_summation:pairwise | 7, 4, 0, 6 | 7+4=11 ; 0+6=6 ; 11+6=17 |
base_conversion | base_conversion:via-binary | n=76,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:12 ; OUT:4C |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=-6 | 2x+2=-6 ; 2x=-8 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=30 | 5x+30=30 ; x+6=6 ; x=6-6 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=81 | 9x+27=81 ; x=(81-27)/9 ; x=54/9 ; x=6 |
list_summation | list_summation:pairwise | 3, 5, 8, 3 | 3+5=8 ; 8+3=11 ; 8+11=19 |
base_conversion | base_conversion:via-binary | n=103,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:7 ; OUT:147 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 706+114 | round:710+114=824 ; adjust:824-4=820 ; sum=820 |
list_summation | list_summation:left-to-right | 6, 4, 9, 9 | 6+4=10 ; 10+9=19 ; 19+9=28 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 6, 5, 0, 4 | [1,6,0,5,4] ; [0,1,5,6,4] ; [0,1,4,5,6] |
base_conversion | base_conversion:decomposition | n=43,base=8 | TERM:5*8^1=40 ; TERM:3*8^0=3 ; OUT:53 |
base_conversion | base_conversion:repeated-division | n=165,base=8 | DIV:165/8=20,r:5 ; DIV:20/8=2,r:4 ; DIV:2/8=0,r:2 ; OUT:245 |
base_conversion | base_conversion:decomposition | n=135,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:2013 |
base_conversion | base_conversion:repeated-division | n=100,base=4 | DIV:100/4=25,r:0 ; DIV:25/4=6,r:1 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1210 |
list_summation | list_summation:pairwise | 6, 2, 1, 0 | 6+2=8 ; 1+0=1 ; 8+1=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 530+805 | d2:0+5+0=5→w5,c0 ; d1:3+0+0=3→w3,c0 ; d0:5+8+0=13→w3,c1 ; sum=1335 |
multidigit_addition | multidigit_addition:left-to-right-partials | 273+907 | p100:200+900=1100 ; p10:70+0=70 ; p1:3+7=10 ; sum=1100+70+10=1180 |
list_summation | list_summation:left-to-right | 1, 0, 2, 4 | 1+0=1 ; 1+2=3 ; 3+4=7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 0, 4, 1 | [2,6,0,4,1] ; [2,0,6,4,1] ; [2,0,4,6,1] ; [2,0,4,1,6] ; [0,2,4,1,6] ; [0,2,1,4,6] ; [0,1,2,4,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+9=33 | 3x+9=33 ; x=(33-9)/3 ; x=24/3 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(5,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(2,4) | R:(1,3) ; D:(2,3) ; R:(2,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-6=4 | 2x-6=4 ; x+-3=2 ; x=2--3 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:decomposition | n=65,base=8 | TERM:1*8^2=64 ; TERM:0*8^1=0 ; TERM:1*8^0=1 ; OUT:101 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 1, 7, 8, 0 | [0,1,7,8,4] ; [0,1,7,8,4] ; [0,1,4,8,7] ; [0,1,4,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 647+431 | round:650+431=1081 ; adjust:1081-3=1078 ; sum=1078 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(3,3) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
base_conversion | base_conversion:via-binary | n=202,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:312 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=227,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11100011 |
multidigit_addition | multidigit_addition:left-to-right-partials | 543+376 | p100:500+300=800 ; p10:40+70=110 ; p1:3+6=9 ; sum=800+110+9=919 |
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 |
list_summation | list_summation:right-to-left | 5, 1, 6, 3 | 6+3=9 ; 1+9=10 ; 5+10=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 204+663 | round:210+663=873 ; adjust:873-6=867 ; sum=867 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 6, 1, 4, 2 | [1,6,9,4,2] ; [1,2,9,4,6] ; [1,2,4,9,6] ; [1,2,4,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-27=-108 | 9x-27=-108 ; x+-3=-12 ; x=-12--3 ; x=-9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-30=-60 | 5x-30=-60 ; x=(-60--30)/5 ; x=-30/5 ; x=-6 |
base_conversion | base_conversion:decomposition | n=136,base=16 | TERM:8*16^1=128 ; TERM:8*16^0=8 ; OUT:88 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,2) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:right-to-left | 0, 8, 0, 9 | 0+9=9 ; 8+9=17 ; 0+17=17 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 9, 6, 5, 0 | [1,9,6,5,0] ; [1,6,9,5,0] ; [1,5,6,9,0] ; [0,1,5,6,9] |
base_conversion | base_conversion:repeated-division | n=46,base=16 | DIV:46/16=2,r:14 ; DIV:2/16=0,r:2 ; OUT:2E |
multidigit_addition | multidigit_addition:rounding-decomposition | 203+182 | round:210+182=392 ; adjust:392-7=385 ; sum=385 |
multidigit_addition | multidigit_addition:rounding-decomposition | 515+620 | round:520+620=1140 ; adjust:1140-5=1135 ; sum=1135 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-42 | 6x-54=-42 ; 6x=12 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 298+838 | p100:200+800=1000 ; p10:90+30=120 ; p1:8+8=16 ; sum=1000+120+16=1136 |
base_conversion | base_conversion:via-binary | n=26,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:10 ; OUT:1A |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(4,2) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 284+971 | round:290+971=1261 ; adjust:1261-6=1255 ; sum=1255 |
multidigit_addition | multidigit_addition:rounding-decomposition | 105+693 | round:110+693=803 ; adjust:803-5=798 ; sum=798 |
list_summation | list_summation:pairwise | 9, 1, 9, 3 | 9+1=10 ; 9+3=12 ; 10+12=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+18=33 | 3x+18=33 ; x+6=11 ; x=11-6 ; x=5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-80 | 8x-56=-80 ; 8x=-24 ; x=-3 |
list_summation | list_summation:left-to-right | 2, 7, 2, 6 | 2+7=9 ; 9+2=11 ; 11+6=17 |
list_summation | list_summation:pairwise | 4, 8, 8, 9 | 4+8=12 ; 8+9=17 ; 12+17=29 |
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 | 2x-14=-10 | 2x-14=-10 ; 2x=4 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(4,1) | R:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,3) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 9, 1, 2 | [6,8,9,1,2] ; [6,8,1,9,2] ; [6,8,1,2,9] ; [6,1,8,2,9] ; [6,1,2,8,9] ; [1,6,2,8,9] ; [1,2,6,8,9] |
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