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 | 8, 7, 4, 4 | 8+7=15 ; 4+4=8 ; 15+8=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 946+606 | p100:900+600=1500 ; p10:40+0=40 ; p1:6+6=12 ; sum=1500+40+12=1552 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=77 | 7x+28=77 ; x=(77-28)/7 ; x=49/7 ; x=7 |
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 |
list_summation | list_summation:right-to-left | 4, 3, 9, 5 | 9+5=14 ; 3+14=17 ; 4+17=21 |
base_conversion | base_conversion:via-binary | n=119,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:1313 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-36=-12 | 4x-36=-12 ; x+-9=-3 ; x=-3--9 ; x=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(3,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) |
list_summation | list_summation:pairwise | 2, 8, 2, 0 | 2+8=10 ; 2+0=2 ; 10+2=12 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 877+814 | d2:7+4+0=11→w1,c1 ; d1:7+1+1=9→w9,c0 ; d0:8+8+0=16→w6,c1 ; sum=1691 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 3, 2, 1, 8 | [1,3,2,5,8] ; [1,2,3,5,8] ; [1,2,3,5,8] ; [1,2,3,5,8] |
list_summation | list_summation:left-to-right | 0, 5, 2, 3 | 0+5=5 ; 5+2=7 ; 7+3=10 |
base_conversion | base_conversion:repeated-division | n=199,base=2 | DIV:199/2=99,r:1 ; DIV:99/2=49,r:1 ; DIV:49/2=24,r:1 ; DIV:24/2=12,r:0 ; 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:11000111 |
list_summation | list_summation:left-to-right | 8, 5, 8, 2 | 8+5=13 ; 13+8=21 ; 21+2=23 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 378+390 | d2:8+0+0=8→w8,c0 ; d1:7+9+0=16→w6,c1 ; d0:3+3+1=7→w7,c0 ; sum=768 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 3, 4, 9 | [6,8,3,4,9] ; [6,3,8,4,9] ; [6,3,4,8,9] ; [3,6,4,8,9] ; [3,4,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-32=-80 | 8x-32=-80 ; x+-4=-10 ; x=-10--4 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 6, 9, 3, 4 | [5,6,3,9,4] ; [5,6,3,4,9] ; [5,3,6,4,9] ; [5,3,4,6,9] ; [3,5,4,6,9] ; [3,4,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 428+372 | round:430+372=802 ; adjust:802-2=800 ; sum=800 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 1, 9, 4, 8 | [0,8,9,4,1] ; [9,8,0,4,1] ; [1,8,0,4,9] ; [8,1,0,4,9] ; [8,4,0,1,9] ; [1,4,0,8,9] ; [4,1,0,8,9] ; [0,1,4,8,9] ; [1,0,4,8,9] ; [0,1,4,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 266+377 | d2:6+7+0=13→w3,c1 ; d1:6+7+1=14→w4,c1 ; d0:2+3+1=6→w6,c0 ; sum=643 |
list_summation | list_summation:pairwise | 9, 4, 3, 5 | 9+4=13 ; 3+5=8 ; 13+8=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 464+785 | d2:4+5+0=9→w9,c0 ; d1:6+8+0=14→w4,c1 ; d0:4+7+1=12→w2,c1 ; sum=1249 |
list_summation | list_summation:pairwise | 3, 1, 6, 9 | 3+1=4 ; 6+9=15 ; 4+15=19 |
list_summation | list_summation:left-to-right | 2, 7, 0, 2 | 2+7=9 ; 9+0=9 ; 9+2=11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 326+561 | round:330+561=891 ; adjust:891-4=887 ; sum=887 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
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] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-42=-21 | 7x-42=-21 ; x+-6=-3 ; x=-3--6 ; x=3 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 4, 2, 0, 8 | [0,4,2,1,8] ; [0,1,2,4,8] ; [0,1,2,4,8] ; [0,1,2,4,8] |
base_conversion | base_conversion:repeated-division | n=86,base=2 | DIV:86/2=43,r:0 ; DIV:43/2=21,r:1 ; DIV:21/2=10,r:1 ; 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:1010110 |
multidigit_addition | multidigit_addition:right-to-left-carry | 732+501 | d2:2+1+0=3→w3,c0 ; d1:3+0+0=3→w3,c0 ; d0:7+5+0=12→w2,c1 ; sum=1233 |
base_conversion | base_conversion:decomposition | n=106,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1101010 |
base_conversion | base_conversion:repeated-division | n=2,base=2 | DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 2, 5, 7, 1 | [9,7,5,2,1] ; [1,7,5,2,9] ; [7,1,5,2,9] ; [7,2,5,1,9] ; [1,2,5,7,9] ; [5,2,1,7,9] ; [1,2,5,7,9] ; [2,1,5,7,9] ; [1,2,5,7,9] |
list_summation | list_summation:pairwise | 8, 2, 4, 0 | 8+2=10 ; 4+0=4 ; 10+4=14 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 0, 2, 4, 8 | [0,1,2,4,8] ; [0,1,2,4,8] ; [0,1,2,4,8] ; [0,1,2,4,8] |
list_summation | list_summation:left-to-right | 9, 6, 9, 7 | 9+6=15 ; 15+9=24 ; 24+7=31 |
list_summation | list_summation:right-to-left | 5, 4, 7, 0 | 7+0=7 ; 4+7=11 ; 5+11=16 |
multidigit_addition | multidigit_addition:right-to-left-carry | 372+412 | d2:2+2+0=4→w4,c0 ; d1:7+1+0=8→w8,c0 ; d0:3+4+0=7→w7,c0 ; sum=784 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 1, 4, 7, 9 | [1,2,4,7,9] ; [1,2,4,7,9] ; [1,2,4,7,9] ; [1,2,4,7,9] |
base_conversion | base_conversion:decomposition | n=51,base=8 | TERM:6*8^1=48 ; TERM:3*8^0=3 ; OUT:63 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 7, 0, 8 | [1,4,7,0,8] ; [1,4,0,7,8] ; [1,0,4,7,8] ; [0,1,4,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 612+649 | round:620+649=1269 ; adjust:1269-8=1261 ; sum=1261 |
list_summation | list_summation:right-to-left | 2, 9, 6, 4 | 6+4=10 ; 9+10=19 ; 2+19=21 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 3, 1, 0 | [6,3,8,1,0] ; [6,3,1,8,0] ; [6,3,1,0,8] ; [3,6,1,0,8] ; [3,1,6,0,8] ; [3,1,0,6,8] ; [1,3,0,6,8] ; [1,0,3,6,8] ; [0,1,3,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-40=8 | 8x-40=8 ; 8x=48 ; x=6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 0, 3, 9, 1 | [0,8,3,9,1] ; [0,3,8,9,1] ; [0,3,8,9,1] ; [0,1,3,8,9] |
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) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(2,3) | R:(1,3) ; D:(2,3) |
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) |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 9, 8, 7, 2 | [2,9,8,7,6] ; [2,6,8,7,9] ; [2,6,7,8,9] ; [2,6,7,8,9] |
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) |
list_summation | list_summation:left-to-right | 7, 2, 5, 8 | 7+2=9 ; 9+5=14 ; 14+8=22 |
base_conversion | base_conversion:via-binary | n=99,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1203 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+24=0 | 4x+24=0 ; x=(0-24)/4 ; x=-24/4 ; x=-6 |
base_conversion | base_conversion:repeated-division | n=169,base=8 | DIV:169/8=21,r:1 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:251 |
multidigit_addition | multidigit_addition:rounding-decomposition | 843+270 | round:850+270=1120 ; adjust:1120-7=1113 ; sum=1113 |
multidigit_addition | multidigit_addition:right-to-left-carry | 871+990 | d2:1+0+0=1→w1,c0 ; d1:7+9+0=16→w6,c1 ; d0:8+9+1=18→w8,c1 ; sum=1861 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 8, 5, 6, 9 | [3,5,8,6,9] ; [3,5,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+72=104 | 8x+72=104 ; x+9=13 ; x=13-9 ; x=4 |
base_conversion | base_conversion:decomposition | n=239,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; 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:1*2^0=1 ; OUT:11101111 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 8, 9, 7, 5 | [2,8,7,9,5] ; [2,7,8,9,5] ; [2,5,7,8,9] |
base_conversion | base_conversion:repeated-division | n=81,base=16 | DIV:81/16=5,r:1 ; DIV:5/16=0,r:5 ; OUT:51 |
base_conversion | base_conversion:via-binary | n=145,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10010001 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 1, 3, 2 | [5,1,7,3,2] ; [5,1,3,7,2] ; [5,1,3,2,7] ; [1,5,3,2,7] ; [1,3,5,2,7] ; [1,3,2,5,7] ; [1,2,3,5,7] |
base_conversion | base_conversion:repeated-division | n=105,base=16 | DIV:105/16=6,r:9 ; DIV:6/16=0,r:6 ; OUT:69 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-12=-15 | 3x-12=-15 ; x+-4=-5 ; x=-5--4 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 7, 9, 2 | [4,7,8,9,2] ; [2,4,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 916+666 | d2:6+6+0=12→w2,c1 ; d1:1+6+1=8→w8,c0 ; d0:9+6+0=15→w5,c1 ; sum=1582 |
multidigit_addition | multidigit_addition:right-to-left-carry | 144+377 | d2:4+7+0=11→w1,c1 ; d1:4+7+1=12→w2,c1 ; d0:1+3+1=5→w5,c0 ; sum=521 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 7, 1, 5 | [4,8,1,7,5] ; [1,4,7,8,5] ; [1,4,5,7,8] |
list_summation | list_summation:pairwise | 1, 0, 1, 1 | 1+0=1 ; 1+1=2 ; 1+2=3 |
list_summation | list_summation:right-to-left | 2, 9, 2, 6 | 2+6=8 ; 9+8=17 ; 2+17=19 |
base_conversion | base_conversion:via-binary | n=87,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:7 ; OUT:57 |
multidigit_addition | multidigit_addition:rounding-decomposition | 464+142 | round:470+142=612 ; adjust:612-6=606 ; sum=606 |
list_summation | list_summation:right-to-left | 5, 8, 1, 9 | 1+9=10 ; 8+10=18 ; 5+18=23 |
list_summation | list_summation:right-to-left | 4, 4, 3, 1 | 3+1=4 ; 4+4=8 ; 4+8=12 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,5) | R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 1, 0, 1, 0 | 1+0=1 ; 1+1=2 ; 2+0=2 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 9, 0, 1 | [3,5,9,0,1] ; [3,5,0,9,1] ; [0,3,5,9,1] ; [0,1,3,5,9] |
list_summation | list_summation:right-to-left | 1, 1, 5, 4 | 5+4=9 ; 1+9=10 ; 1+10=11 |
base_conversion | base_conversion:via-binary | n=59,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:111011 |
list_summation | list_summation:right-to-left | 3, 8, 0, 8 | 0+8=8 ; 8+8=16 ; 3+16=19 |
list_summation | list_summation:right-to-left | 7, 0, 8, 0 | 8+0=8 ; 0+8=8 ; 7+8=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 855+789 | p100:800+700=1500 ; p10:50+80=130 ; p1:5+9=14 ; sum=1500+130+14=1644 |
list_summation | list_summation:left-to-right | 7, 5, 4, 5 | 7+5=12 ; 12+4=16 ; 16+5=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 739+228 | d2:9+8+0=17→w7,c1 ; d1:3+2+1=6→w6,c0 ; d0:7+2+0=9→w9,c0 ; sum=967 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+12=-12 | 4x+12=-12 ; 4x=-24 ; x=-6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=44 | 4x+24=44 ; 4x=20 ; x=5 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 6, 4, 2, 0 | [6,9,4,2,0] ; [6,9,2,4,0] ; [2,4,6,9,0] ; [0,2,4,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 494+896 | round:500+896=1396 ; adjust:1396-6=1390 ; sum=1390 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-35=7 | 7x-35=7 ; x=(7--35)/7 ; x=42/7 ; x=6 |
list_summation | list_summation:pairwise | 9, 4, 0, 3 | 9+4=13 ; 0+3=3 ; 13+3=16 |
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