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 | 9, 9, 7, 7 | 9+9=18 ; 7+7=14 ; 18+14=32 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 0, 9, 5 | [6,8,0,9,5] ; [6,0,8,9,5] ; [6,0,8,5,9] ; [0,6,8,5,9] ; [0,6,5,8,9] ; [0,5,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 309+188 | p100:300+100=400 ; p10:0+80=80 ; p1:9+8=17 ; sum=400+80+17=497 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(3,4) | D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
list_summation | list_summation:left-to-right | 2, 8, 4, 6 | 2+8=10 ; 10+4=14 ; 14+6=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 216+620 | round:220+620=840 ; adjust:840-4=836 ; sum=836 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 5, 4, 9, 1 | [0,5,4,9,1] ; [0,4,5,9,1] ; [0,4,5,9,1] ; [0,1,4,5,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; D:(3,3) ; R:(3,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-36=-12 | 6x-36=-12 ; x+-6=-2 ; x=-2--6 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 815+862 | p100:800+800=1600 ; p10:10+60=70 ; p1:5+2=7 ; sum=1600+70+7=1677 |
multidigit_addition | multidigit_addition:rounding-decomposition | 433+149 | round:440+149=589 ; adjust:589-7=582 ; sum=582 |
multidigit_addition | multidigit_addition:right-to-left-carry | 435+100 | d2:5+0+0=5→w5,c0 ; d1:3+0+0=3→w3,c0 ; d0:4+1+0=5→w5,c0 ; sum=535 |
list_summation | list_summation:right-to-left | 3, 1, 6, 8 | 6+8=14 ; 1+14=15 ; 3+15=18 |
base_conversion | base_conversion:decomposition | n=229,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3211 |
multidigit_addition | multidigit_addition:left-to-right-partials | 917+231 | p100:900+200=1100 ; p10:10+30=40 ; p1:7+1=8 ; sum=1100+40+8=1148 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+6=-3 | 3x+6=-3 ; x=(-3-6)/3 ; x=-9/3 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 1, 8, 9 | [1,7,3,8,9] ; [1,3,7,8,9] ; [1,3,7,8,9] ; [1,3,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 130+663 | p100:100+600=700 ; p10:30+60=90 ; p1:0+3=3 ; sum=700+90+3=793 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+6=-9 | 3x+6=-9 ; 3x=-15 ; x=-5 |
base_conversion | base_conversion:repeated-division | n=38,base=16 | DIV:38/16=2,r:6 ; DIV:2/16=0,r:2 ; OUT:26 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 3, 0, 8, 5 | [1,3,0,8,5] ; [0,1,3,8,5] ; [0,1,3,8,5] ; [0,1,3,5,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 703+764 | d2:3+4+0=7→w7,c0 ; d1:0+6+0=6→w6,c0 ; d0:7+7+0=14→w4,c1 ; sum=1467 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+15=-6 | 3x+15=-6 ; x=(-6-15)/3 ; x=-21/3 ; x=-7 |
list_summation | list_summation:right-to-left | 1, 1, 7, 5 | 7+5=12 ; 1+12=13 ; 1+13=14 |
list_summation | list_summation:right-to-left | 2, 9, 8, 2 | 8+2=10 ; 9+10=19 ; 2+19=21 |
base_conversion | base_conversion:via-binary | n=27,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; OUT:11011 |
list_summation | list_summation:left-to-right | 0, 7, 5, 0 | 0+7=7 ; 7+5=12 ; 12+0=12 |
list_summation | list_summation:right-to-left | 7, 6, 5, 0 | 5+0=5 ; 6+5=11 ; 7+11=18 |
base_conversion | base_conversion:repeated-division | n=27,base=8 | DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:33 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 0, 2, 1 | [4,6,0,2,1] ; [4,0,6,2,1] ; [4,0,2,6,1] ; [4,0,2,1,6] ; [0,4,2,1,6] ; [0,2,4,1,6] ; [0,2,1,4,6] ; [0,1,2,4,6] |
list_summation | list_summation:left-to-right | 2, 8, 0, 7 | 2+8=10 ; 10+0=10 ; 10+7=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 643+646 | d2:3+6+0=9→w9,c0 ; d1:4+4+0=8→w8,c0 ; d0:6+6+0=12→w2,c1 ; sum=1289 |
list_summation | list_summation:left-to-right | 6, 8, 9, 3 | 6+8=14 ; 14+9=23 ; 23+3=26 |
multidigit_addition | multidigit_addition:rounding-decomposition | 723+644 | round:730+644=1374 ; adjust:1374-7=1367 ; sum=1367 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=80 | 8x+72=80 ; 8x=8 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 105+663 | p100:100+600=700 ; p10:0+60=60 ; p1:5+3=8 ; sum=700+60+8=768 |
list_summation | list_summation:left-to-right | 5, 5, 6, 9 | 5+5=10 ; 10+6=16 ; 16+9=25 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=35 | 5x+35=35 ; x=(35-35)/5 ; x=0/5 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-32=-32 | 4x-32=-32 ; x+-8=-8 ; x=-8--8 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+8=-8 | 4x+8=-8 ; 4x=-16 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+3=3 | 3x+3=3 ; x+1=1 ; x=1-1 ; x=0 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 9, 5, 7 | [4,6,9,5,7] ; [4,6,9,5,7] ; [4,5,6,9,7] ; [4,5,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,2) | R:(1,2) ; D:(2,2) ; D:(3,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 111+723 | p100:100+700=800 ; p10:10+20=30 ; p1:1+3=4 ; sum=800+30+4=834 |
multidigit_addition | multidigit_addition:right-to-left-carry | 259+706 | d2:9+6+0=15→w5,c1 ; d1:5+0+1=6→w6,c0 ; d0:2+7+0=9→w9,c0 ; sum=965 |
base_conversion | base_conversion:via-binary | n=108,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:12 ; OUT:6C |
multidigit_addition | multidigit_addition:left-to-right-partials | 124+617 | p100:100+600=700 ; p10:20+10=30 ; p1:4+7=11 ; sum=700+30+11=741 |
base_conversion | base_conversion:repeated-division | n=223,base=2 | DIV:223/2=111,r:1 ; DIV:111/2=55,r:1 ; DIV:55/2=27,r:1 ; DIV:27/2=13,r:1 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11011111 |
base_conversion | base_conversion:repeated-division | n=161,base=8 | DIV:161/8=20,r:1 ; DIV:20/8=2,r:4 ; DIV:2/8=0,r:2 ; OUT:241 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-54 | 9x-72=-54 ; x+-8=-6 ; x=-6--8 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
base_conversion | base_conversion:repeated-division | n=7,base=8 | DIV:7/8=0,r:7 ; OUT:7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(4,4) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 406+159 | round:410+159=569 ; adjust:569-4=565 ; sum=565 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,3) | D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(1,5) | R:(0,4) ; D:(1,4) ; R:(1,5) |
base_conversion | base_conversion:repeated-division | n=85,base=8 | DIV:85/8=10,r:5 ; DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:125 |
list_summation | list_summation:right-to-left | 4, 8, 7, 7 | 7+7=14 ; 8+14=22 ; 4+22=26 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(2,4) | R:(1,3) ; D:(2,3) ; R:(2,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 506+950 | d2:6+0+0=6→w6,c0 ; d1:0+5+0=5→w5,c0 ; d0:5+9+0=14→w4,c1 ; sum=1456 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 906+713 | round:910+713=1623 ; adjust:1623-4=1619 ; sum=1619 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+24=48 | 6x+24=48 ; 6x=24 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(4,4) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 8, 2, 6, 6 | 6+6=12 ; 2+12=14 ; 8+14=22 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 485+841 | round:490+841=1331 ; adjust:1331-5=1326 ; sum=1326 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 8, 3, 4, 2 | [2,8,3,4,7] ; [2,3,8,4,7] ; [2,3,4,8,7] ; [2,3,4,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 6, 7, 4, 3 | 4+3=7 ; 7+7=14 ; 6+14=20 |
list_summation | list_summation:right-to-left | 4, 8, 0, 6 | 0+6=6 ; 8+6=14 ; 4+14=18 |
base_conversion | base_conversion:via-binary | n=7,base=2 | BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+36=78 | 6x+36=78 ; x=(78-36)/6 ; x=42/6 ; x=7 |
base_conversion | base_conversion:via-binary | n=253,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:13 ; OUT:FD |
base_conversion | base_conversion:via-binary | n=117,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:5 ; OUT:165 |
base_conversion | base_conversion:repeated-division | n=24,base=8 | DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:30 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 5, 7, 4, 1 | 5+7=12 ; 12+4=16 ; 16+1=17 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 5, 6, 0, 2 | [5,8,6,0,2] ; [5,6,8,0,2] ; [5,6,0,8,2] ; [5,6,0,2,8] ; [5,0,6,2,8] ; [5,0,2,6,8] ; [0,5,2,6,8] ; [0,2,5,6,8] |
list_summation | list_summation:right-to-left | 8, 4, 2, 9 | 2+9=11 ; 4+11=15 ; 8+15=23 |
multidigit_addition | multidigit_addition:rounding-decomposition | 892+642 | round:900+642=1542 ; adjust:1542-8=1534 ; sum=1534 |
list_summation | list_summation:right-to-left | 1, 0, 2, 3 | 2+3=5 ; 0+5=5 ; 1+5=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 4, 3, 2, 7 | [0,4,3,2,7] ; [0,2,3,4,7] ; [0,2,3,4,7] ; [0,2,3,4,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=44 | 4x+16=44 ; 4x=28 ; x=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-27=-3 | 3x-27=-3 ; x=(-3--27)/3 ; x=24/3 ; x=8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 8, 5, 0, 9 | [4,8,5,0,9] ; [4,5,8,0,9] ; [0,4,5,8,9] ; [0,4,5,8,9] |
base_conversion | base_conversion:decomposition | n=174,base=16 | TERM:10*16^1=160 ; TERM:14*16^0=14 ; OUT:AE |
base_conversion | base_conversion:via-binary | n=30,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:14 ; OUT:1E |
base_conversion | base_conversion:decomposition | n=248,base=16 | TERM:15*16^1=240 ; TERM:8*16^0=8 ; OUT:F8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 3, 5, 1, 2 | [3,8,5,1,2] ; [3,5,8,1,2] ; [1,3,5,8,2] ; [1,2,3,5,8] |
list_summation | list_summation:right-to-left | 7, 3, 6, 1 | 6+1=7 ; 3+7=10 ; 7+10=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 458+568 | d2:8+8+0=16→w6,c1 ; d1:5+6+1=12→w2,c1 ; d0:4+5+1=10→w0,c1 ; sum=1026 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+42=91 | 7x+42=91 ; x=(91-42)/7 ; x=49/7 ; x=7 |
list_summation | list_summation:pairwise | 7, 9, 2, 7 | 7+9=16 ; 2+7=9 ; 16+9=25 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=81 | 9x+18=81 ; 9x=63 ; x=7 |
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