task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 7, 9, 8, 3 | [5,7,9,8,3] ; [5,7,9,8,3] ; [5,7,8,9,3] ; [3,5,7,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,4) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
list_summation | list_summation:right-to-left | 4, 3, 6, 4 | 6+4=10 ; 3+10=13 ; 4+13=17 |
base_conversion | base_conversion:via-binary | n=88,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:1120 |
list_summation | list_summation:left-to-right | 7, 1, 8, 9 | 7+1=8 ; 8+8=16 ; 16+9=25 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 9, 4, 7, 5 | [4,9,8,7,5] ; [4,5,8,7,9] ; [4,5,7,8,9] ; [4,5,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 292+855 | d2:2+5+0=7→w7,c0 ; d1:9+5+0=14→w4,c1 ; d0:2+8+1=11→w1,c1 ; sum=1147 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=63 | 7x+56=63 ; x=(63-56)/7 ; x=7/7 ; x=1 |
base_conversion | base_conversion:decomposition | n=121,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:1321 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 6, 4, 7 | [0,2,6,4,7] ; [0,2,6,4,7] ; [0,2,4,6,7] ; [0,2,4,6,7] |
base_conversion | base_conversion:via-binary | n=124,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:1330 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=-63 | 9x-72=-63 ; x=(-63--72)/9 ; x=9/9 ; x=1 |
base_conversion | base_conversion:via-binary | n=92,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:4 ; OUT:134 |
base_conversion | base_conversion:via-binary | n=84,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:4 ; OUT:54 |
base_conversion | base_conversion:repeated-division | n=54,base=4 | DIV:54/4=13,r:2 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:312 |
base_conversion | base_conversion:decomposition | n=70,base=16 | TERM:4*16^1=64 ; TERM:6*16^0=6 ; OUT:46 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(5,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=224,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11100000 |
base_conversion | base_conversion:decomposition | n=94,base=8 | TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:6*8^0=6 ; OUT:136 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(2,3) | D:(2,1) ; R:(2,2) ; R:(2,3) |
base_conversion | base_conversion:decomposition | n=148,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; 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:10010100 |
list_summation | list_summation:right-to-left | 0, 4, 5, 1 | 5+1=6 ; 4+6=10 ; 0+10=10 |
base_conversion | base_conversion:decomposition | n=207,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:3033 |
base_conversion | base_conversion:decomposition | n=209,base=16 | TERM:13*16^1=208 ; TERM:1*16^0=1 ; OUT:D1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 197+967 | d2:7+7+0=14→w4,c1 ; d1:9+6+1=16→w6,c1 ; d0:1+9+1=11→w1,c1 ; sum=1164 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=-40 | 4x-36=-40 ; 4x=-4 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,5) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 932+866 | d2:2+6+0=8→w8,c0 ; d1:3+6+0=9→w9,c0 ; d0:9+8+0=17→w7,c1 ; sum=1798 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-24=-48 | 6x-24=-48 ; 6x=-24 ; x=-4 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 7, 4, 8, 2 | [5,7,4,8,2] ; [4,5,7,8,2] ; [4,5,7,8,2] ; [2,4,5,7,8] |
base_conversion | base_conversion:via-binary | n=226,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:3202 |
base_conversion | base_conversion:decomposition | n=253,base=16 | TERM:15*16^1=240 ; TERM:13*16^0=13 ; OUT:FD |
list_summation | list_summation:pairwise | 5, 1, 0, 1 | 5+1=6 ; 0+1=1 ; 6+1=7 |
list_summation | list_summation:pairwise | 8, 8, 6, 4 | 8+8=16 ; 6+4=10 ; 16+10=26 |
list_summation | list_summation:left-to-right | 9, 8, 7, 4 | 9+8=17 ; 17+7=24 ; 24+4=28 |
list_summation | list_summation:pairwise | 2, 0, 9, 3 | 2+0=2 ; 9+3=12 ; 2+12=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=24 | 8x+72=24 ; 8x=-48 ; x=-6 |
list_summation | list_summation:right-to-left | 5, 4, 8, 1 | 8+1=9 ; 4+9=13 ; 5+13=18 |
list_summation | list_summation:pairwise | 9, 9, 2, 4 | 9+9=18 ; 2+4=6 ; 18+6=24 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 3, 8, 9, 1 | [3,6,8,9,1] ; [3,6,8,1,9] ; [3,6,1,8,9] ; [3,1,6,8,9] ; [1,3,6,8,9] |
base_conversion | base_conversion:repeated-division | n=250,base=2 | DIV:250/2=125,r:0 ; DIV:125/2=62,r:1 ; DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11111010 |
list_summation | list_summation:left-to-right | 7, 3, 7, 2 | 7+3=10 ; 10+7=17 ; 17+2=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,5) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+24=44 | 4x+24=44 ; x=(44-24)/4 ; x=20/4 ; x=5 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 6, 4, 0, 7 | [3,7,4,0,6] ; [7,3,4,0,6] ; [7,6,4,0,3] ; [3,6,4,0,7] ; [6,3,4,0,7] ; [0,3,4,6,7] ; [4,3,0,6,7] ; [0,3,4,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 4, 1, 2 | [2,3,4,1,6] ; [4,3,2,1,6] ; [1,3,2,4,6] ; [3,1,2,4,6] ; [2,1,3,4,6] ; [1,2,3,4,6] |
base_conversion | base_conversion:repeated-division | n=73,base=2 | DIV:73/2=36,r:1 ; 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:1001001 |
multidigit_addition | multidigit_addition:right-to-left-carry | 496+659 | d2:6+9+0=15→w5,c1 ; d1:9+5+1=15→w5,c1 ; d0:4+6+1=11→w1,c1 ; sum=1155 |
multidigit_addition | multidigit_addition:right-to-left-carry | 878+283 | d2:8+3+0=11→w1,c1 ; d1:7+8+1=16→w6,c1 ; d0:8+2+1=11→w1,c1 ; sum=1161 |
base_conversion | base_conversion:decomposition | n=72,base=16 | TERM:4*16^1=64 ; TERM:8*16^0=8 ; OUT:48 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=-6 | 2x-6=-6 ; 2x=0 ; x=0 |
base_conversion | base_conversion:via-binary | n=47,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:101111 |
multidigit_addition | multidigit_addition:right-to-left-carry | 409+953 | d2:9+3+0=12→w2,c1 ; d1:0+5+1=6→w6,c0 ; d0:4+9+0=13→w3,c1 ; sum=1362 |
list_summation | list_summation:left-to-right | 9, 3, 8, 2 | 9+3=12 ; 12+8=20 ; 20+2=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=-18 | 6x+30=-18 ; x=(-18-30)/6 ; x=-48/6 ; x=-8 |
base_conversion | base_conversion:decomposition | n=66,base=16 | TERM:4*16^1=64 ; TERM:2*16^0=2 ; OUT:42 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 6, 0, 1, 7 | [0,6,2,1,7] ; [0,1,2,6,7] ; [0,1,2,6,7] ; [0,1,2,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 288+482 | p100:200+400=600 ; p10:80+80=160 ; p1:8+2=10 ; sum=600+160+10=770 |
base_conversion | base_conversion:decomposition | n=220,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:3130 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=0 | 9x+0=0 ; 9x=0 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 388+439 | p100:300+400=700 ; p10:80+30=110 ; p1:8+9=17 ; sum=700+110+17=827 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,4) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=-8 | 4x+8=-8 ; x+2=-2 ; x=-2-2 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 3, 5, 8 | [1,4,3,5,8] ; [1,3,4,5,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 405+428 | p100:400+400=800 ; p10:0+20=20 ; p1:5+8=13 ; sum=800+20+13=833 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 4, 7, 0, 5 | [4,9,7,0,5] ; [4,7,9,0,5] ; [0,4,7,9,5] ; [0,4,5,7,9] |
list_summation | list_summation:pairwise | 3, 0, 1, 1 | 3+0=3 ; 1+1=2 ; 3+2=5 |
list_summation | list_summation:right-to-left | 7, 2, 4, 4 | 4+4=8 ; 2+8=10 ; 7+10=17 |
base_conversion | base_conversion:via-binary | n=30,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:6 ; OUT:36 |
base_conversion | base_conversion:repeated-division | n=153,base=4 | DIV:153/4=38,r:1 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2121 |
multidigit_addition | multidigit_addition:rounding-decomposition | 685+175 | round:690+175=865 ; adjust:865-5=860 ; sum=860 |
base_conversion | base_conversion:repeated-division | n=27,base=16 | DIV:27/16=1,r:11 ; DIV:1/16=0,r:1 ; OUT:1B |
multidigit_addition | multidigit_addition:rounding-decomposition | 703+387 | round:710+387=1097 ; adjust:1097-7=1090 ; sum=1090 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=4 | 2x-10=4 ; x=(4--10)/2 ; x=14/2 ; x=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+12=30 | 6x+12=30 ; x=(30-12)/6 ; x=18/6 ; x=3 |
list_summation | list_summation:right-to-left | 6, 9, 8, 2 | 8+2=10 ; 9+10=19 ; 6+19=25 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=27 | 9x+27=27 ; 9x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+72=120 | 8x+72=120 ; x=(120-72)/8 ; x=48/8 ; x=6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,1) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 4, 1, 7 | [6,4,8,1,7] ; [6,4,1,8,7] ; [6,4,1,7,8] ; [4,6,1,7,8] ; [4,1,6,7,8] ; [1,4,6,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 8, 1, 7, 4 | [1,8,6,7,4] ; [1,4,6,7,8] ; [1,4,6,7,8] ; [1,4,6,7,8] |
base_conversion | base_conversion:repeated-division | n=12,base=16 | DIV:12/16=0,r:12 ; OUT:C |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 2, 0, 9 | [1,4,2,0,9] ; [1,4,0,2,9] ; [0,1,2,4,9] |
list_summation | list_summation:pairwise | 4, 7, 4, 7 | 4+7=11 ; 4+7=11 ; 11+11=22 |
base_conversion | base_conversion:via-binary | n=24,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:0 ; OUT:30 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 0, 4, 3 | [5,8,0,4,3] ; [0,5,8,4,3] ; [0,4,5,8,3] ; [0,3,4,5,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 315+265 | p100:300+200=500 ; p10:10+60=70 ; p1:5+5=10 ; sum=500+70+10=580 |
list_summation | list_summation:left-to-right | 8, 0, 6, 7 | 8+0=8 ; 8+6=14 ; 14+7=21 |
base_conversion | base_conversion:decomposition | n=15,base=2 | TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1111 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 4, 7, 0, 9 | [2,4,7,0,9] ; [2,4,7,0,9] ; [0,2,4,7,9] ; [0,2,4,7,9] |
list_summation | list_summation:left-to-right | 0, 7, 0, 5 | 0+7=7 ; 7+0=7 ; 7+5=12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=49 | 7x+0=49 ; 7x=49 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,1) | D:(4,0) ; D:(5,0) ; R:(5,1) |
list_summation | list_summation:right-to-left | 2, 0, 1, 5 | 1+5=6 ; 0+6=6 ; 2+6=8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 2, 7, 4 | [5,8,2,7,4] ; [2,5,8,7,4] ; [2,5,7,8,4] ; [2,4,5,7,8] |
list_summation | list_summation:left-to-right | 5, 9, 8, 2 | 5+9=14 ; 14+8=22 ; 22+2=24 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 7, 9, 2, 6 | [0,7,9,2,6] ; [0,2,9,7,6] ; [0,2,6,7,9] ; [0,2,6,7,9] |
base_conversion | base_conversion:via-binary | n=141,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10001101 |
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