task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 966+839 | round:970+839=1809 ; adjust:1809-4=1805 ; sum=1805 |
base_conversion | base_conversion:via-binary | n=166,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:6 ; OUT:246 |
base_conversion | base_conversion:decomposition | n=112,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:1300 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 3, 1, 9 | [6,7,1,3,9] ; [1,3,6,7,9] |
base_conversion | base_conversion:repeated-division | n=105,base=4 | DIV:105/4=26,r:1 ; DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1221 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 2, 6, 4, 0 | [0,2,6,4,8] ; [0,2,6,4,8] ; [0,2,4,6,8] ; [0,2,4,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 0, 9, 7, 4 | [0,8,9,7,4] ; [0,8,9,7,4] ; [0,7,8,9,4] ; [0,4,7,8,9] |
list_summation | list_summation:right-to-left | 8, 8, 8, 4 | 8+4=12 ; 8+12=20 ; 8+20=28 |
list_summation | list_summation:left-to-right | 8, 3, 4, 4 | 8+3=11 ; 11+4=15 ; 15+4=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+14=56 | 7x+14=56 ; 7x=42 ; x=6 |
list_summation | list_summation:pairwise | 8, 4, 0, 5 | 8+4=12 ; 0+5=5 ; 12+5=17 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 8, 6, 5 | [4,7,6,8,5] ; [4,7,6,5,8] ; [4,6,7,5,8] ; [4,6,5,7,8] ; [4,5,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 383+139 | round:390+139=529 ; adjust:529-7=522 ; sum=522 |
base_conversion | base_conversion:repeated-division | n=255,base=8 | DIV:255/8=31,r:7 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:377 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+45=-27 | 9x+45=-27 ; x+5=-3 ; x=-3-5 ; x=-8 |
list_summation | list_summation:left-to-right | 6, 7, 9, 6 | 6+7=13 ; 13+9=22 ; 22+6=28 |
base_conversion | base_conversion:decomposition | n=19,base=16 | TERM:1*16^1=16 ; TERM:3*16^0=3 ; OUT:13 |
list_summation | list_summation:right-to-left | 5, 4, 3, 8 | 3+8=11 ; 4+11=15 ; 5+15=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 383+434 | round:390+434=824 ; adjust:824-7=817 ; sum=817 |
list_summation | list_summation:left-to-right | 0, 8, 7, 7 | 0+8=8 ; 8+7=15 ; 15+7=22 |
base_conversion | base_conversion:repeated-division | n=116,base=4 | DIV:116/4=29,r:0 ; DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1310 |
multidigit_addition | multidigit_addition:rounding-decomposition | 686+106 | round:690+106=796 ; adjust:796-4=792 ; sum=792 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 3, 9, 8, 1 | 8+1=9 ; 9+9=18 ; 3+18=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=30 | 5x+45=30 ; x+9=6 ; x=6-9 ; x=-3 |
base_conversion | base_conversion:decomposition | n=18,base=4 | TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:102 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 9, 1, 5 | [0,5,9,1,4] ; [9,5,0,1,4] ; [4,5,0,1,9] ; [5,4,0,1,9] ; [1,4,0,5,9] ; [4,1,0,5,9] ; [0,1,4,5,9] ; [1,0,4,5,9] ; [0,1,4,5,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 2, 7, 4, 8 | [2,5,7,4,8] ; [2,5,4,7,8] ; [2,4,5,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 5, 3, 7 | [0,9,5,3,7] ; [0,5,9,3,7] ; [0,5,3,9,7] ; [0,5,3,7,9] ; [0,3,5,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,4) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 3, 0, 2, 2 | 2+2=4 ; 0+4=4 ; 3+4=7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 471+463 | p100:400+400=800 ; p10:70+60=130 ; p1:1+3=4 ; sum=800+130+4=934 |
base_conversion | base_conversion:decomposition | n=161,base=16 | TERM:10*16^1=160 ; TERM:1*16^0=1 ; OUT:A1 |
base_conversion | base_conversion:via-binary | n=243,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:3 ; OUT:F3 |
base_conversion | base_conversion:decomposition | n=32,base=8 | TERM:4*8^1=32 ; TERM:0*8^0=0 ; OUT:40 |
list_summation | list_summation:left-to-right | 1, 9, 3, 7 | 1+9=10 ; 10+3=13 ; 13+7=20 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:decomposition | n=28,base=16 | TERM:1*16^1=16 ; TERM:12*16^0=12 ; OUT:1C |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=21,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; OUT:10101 |
multidigit_addition | multidigit_addition:rounding-decomposition | 511+450 | round:520+450=970 ; adjust:970-9=961 ; sum=961 |
multidigit_addition | multidigit_addition:right-to-left-carry | 272+617 | d2:2+7+0=9→w9,c0 ; d1:7+1+0=8→w8,c0 ; d0:2+6+0=8→w8,c0 ; sum=889 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 3, 5, 9 | [2,8,3,5,9] ; [2,3,8,5,9] ; [2,3,5,8,9] ; [2,3,5,8,9] |
base_conversion | base_conversion:decomposition | n=174,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:0*2^0=0 ; OUT:10101110 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,1) | R:(3,1) ; D:(4,1) ; D:(5,1) |
list_summation | list_summation:right-to-left | 7, 7, 1, 9 | 1+9=10 ; 7+10=17 ; 7+17=24 |
list_summation | list_summation:left-to-right | 3, 2, 5, 0 | 3+2=5 ; 5+5=10 ; 10+0=10 |
list_summation | list_summation:right-to-left | 4, 7, 3, 0 | 3+0=3 ; 7+3=10 ; 4+10=14 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 3, 2, 1, 6 | [1,3,2,8,6] ; [1,2,3,8,6] ; [1,2,3,8,6] ; [1,2,3,6,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 4, 0, 7, 6 | [0,2,4,7,6] ; [0,2,4,6,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 8, 5, 2 | [0,7,8,5,2] ; [0,7,5,8,2] ; [0,5,7,8,2] ; [0,2,5,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 382+368 | p100:300+300=600 ; p10:80+60=140 ; p1:2+8=10 ; sum=600+140+10=750 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:repeated-division | n=194,base=4 | DIV:194/4=48,r:2 ; DIV:48/4=12,r:0 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3002 |
base_conversion | base_conversion:via-binary | n=205,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3031 |
list_summation | list_summation:pairwise | 9, 8, 2, 9 | 9+8=17 ; 2+9=11 ; 17+11=28 |
multidigit_addition | multidigit_addition:left-to-right-partials | 813+642 | p100:800+600=1400 ; p10:10+40=50 ; p1:3+2=5 ; sum=1400+50+5=1455 |
list_summation | list_summation:right-to-left | 1, 6, 7, 2 | 7+2=9 ; 6+9=15 ; 1+15=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=81 | 9x+27=81 ; x+3=9 ; x=9-3 ; x=6 |
list_summation | list_summation:right-to-left | 2, 7, 7, 3 | 7+3=10 ; 7+10=17 ; 2+17=19 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 1, 8, 6, 4 | [0,1,6,8,4] ; [0,1,6,4,8] ; [0,1,4,6,8] |
list_summation | list_summation:left-to-right | 7, 4, 1, 2 | 7+4=11 ; 11+1=12 ; 12+2=14 |
list_summation | list_summation:right-to-left | 3, 9, 8, 8 | 8+8=16 ; 9+16=25 ; 3+25=28 |
list_summation | list_summation:pairwise | 7, 8, 0, 4 | 7+8=15 ; 0+4=4 ; 15+4=19 |
list_summation | list_summation:pairwise | 2, 3, 4, 9 | 2+3=5 ; 4+9=13 ; 5+13=18 |
base_conversion | base_conversion:via-binary | n=222,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:6 ; OUT:336 |
base_conversion | base_conversion:repeated-division | n=133,base=16 | DIV:133/16=8,r:5 ; DIV:8/16=0,r:8 ; OUT:85 |
list_summation | list_summation:right-to-left | 8, 7, 2, 8 | 2+8=10 ; 7+10=17 ; 8+17=25 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+8=-8 | 2x+8=-8 ; 2x=-16 ; x=-8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 323+324 | round:330+324=654 ; adjust:654-7=647 ; sum=647 |
multidigit_addition | multidigit_addition:right-to-left-carry | 394+273 | d2:4+3+0=7→w7,c0 ; d1:9+7+0=16→w6,c1 ; d0:3+2+1=6→w6,c0 ; sum=667 |
base_conversion | base_conversion:repeated-division | n=98,base=16 | DIV:98/16=6,r:2 ; DIV:6/16=0,r:6 ; OUT:62 |
base_conversion | base_conversion:repeated-division | n=120,base=16 | DIV:120/16=7,r:8 ; DIV:7/16=0,r:7 ; OUT:78 |
multidigit_addition | multidigit_addition:rounding-decomposition | 196+325 | round:200+325=525 ; adjust:525-4=521 ; sum=521 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-42=-78 | 6x-42=-78 ; x=(-78--42)/6 ; x=-36/6 ; x=-6 |
base_conversion | base_conversion:repeated-division | n=78,base=8 | DIV:78/8=9,r:6 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:116 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 4, 7, 8 | [2,3,4,7,8] ; [2,3,4,7,8] ; [2,3,4,7,8] ; [2,3,4,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(3,5) | D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 648+987 | p100:600+900=1500 ; p10:40+80=120 ; p1:8+7=15 ; sum=1500+120+15=1635 |
base_conversion | base_conversion:decomposition | n=53,base=16 | TERM:3*16^1=48 ; TERM:5*16^0=5 ; OUT:35 |
list_summation | list_summation:right-to-left | 1, 8, 8, 8 | 8+8=16 ; 8+16=24 ; 1+24=25 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(3,3) | R:(2,2) ; D:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-42=-77 | 7x-42=-77 ; x+-6=-11 ; x=-11--6 ; x=-5 |
base_conversion | base_conversion:via-binary | n=21,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; OUT:10101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+45=0 | 5x+45=0 ; 5x=-45 ; x=-9 |
base_conversion | base_conversion:via-binary | n=191,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10111111 |
list_summation | list_summation:pairwise | 2, 7, 8, 1 | 2+7=9 ; 8+1=9 ; 9+9=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 356+309 | d2:6+9+0=15→w5,c1 ; d1:5+0+1=6→w6,c0 ; d0:3+3+0=6→w6,c0 ; sum=665 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(5,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 2, 7, 8 | [0,8,2,7,4] ; [8,0,2,7,4] ; [8,7,2,0,4] ; [4,7,2,0,8] ; [7,4,2,0,8] ; [0,4,2,7,8] ; [4,0,2,7,8] ; [2,0,4,7,8] ; [0,2,4,7,8] |
list_summation | list_summation:right-to-left | 2, 1, 0, 3 | 0+3=3 ; 1+3=4 ; 2+4=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+0=81 | 9x+0=81 ; x=(81-0)/9 ; x=81/9 ; x=9 |
base_conversion | base_conversion:repeated-division | n=137,base=4 | DIV:137/4=34,r:1 ; DIV:34/4=8,r:2 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2021 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 5, 3, 1, 6 | [8,6,3,1,5] ; [5,6,3,1,8] ; [6,5,3,1,8] ; [1,5,3,6,8] ; [5,1,3,6,8] ; [3,1,5,6,8] ; [1,3,5,6,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 8, 5, 3, 7 | [8,4,5,3,7] ; [8,7,5,3,4] ; [4,7,5,3,8] ; [7,4,5,3,8] ; [3,4,5,7,8] ; [5,4,3,7,8] ; [3,4,5,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 978+424 | round:980+424=1404 ; adjust:1404-2=1402 ; sum=1402 |
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