task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-6=-24 | 6x-6=-24 ; 6x=-18 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 305+925 | p100:300+900=1200 ; p10:0+20=20 ; p1:5+5=10 ; sum=1200+20+10=1230 |
base_conversion | base_conversion:repeated-division | n=35,base=16 | DIV:35/16=2,r:3 ; DIV:2/16=0,r:2 ; OUT:23 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 6, 3, 9 | [4,5,3,6,9] ; [4,3,5,6,9] ; [3,4,5,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
list_summation | list_summation:left-to-right | 4, 7, 4, 5 | 4+7=11 ; 11+4=15 ; 15+5=20 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 8, 1, 2, 0 | [8,9,1,2,0] ; [8,1,9,2,0] ; [8,1,2,9,0] ; [8,1,2,0,9] ; [1,8,2,0,9] ; [1,2,8,0,9] ; [1,2,0,8,9] ; [1,0,2,8,9] ; [0,1,2,8,9] |
base_conversion | base_conversion:decomposition | n=142,base=16 | TERM:8*16^1=128 ; TERM:14*16^0=14 ; OUT:8E |
multidigit_addition | multidigit_addition:left-to-right-partials | 110+470 | p100:100+400=500 ; p10:10+70=80 ; p1:0+0=0 ; sum=500+80+0=580 |
base_conversion | base_conversion:via-binary | n=52,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; OUT:110100 |
list_summation | list_summation:pairwise | 6, 7, 5, 2 | 6+7=13 ; 5+2=7 ; 13+7=20 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 4, 8, 0, 9 | [3,9,8,0,4] ; [9,3,8,0,4] ; [9,4,8,0,3] ; [3,4,8,0,9] ; [8,4,3,0,9] ; [0,4,3,8,9] ; [4,0,3,8,9] ; [3,0,4,8,9] ; [0,3,4,8,9] |
base_conversion | base_conversion:decomposition | n=255,base=16 | TERM:15*16^1=240 ; TERM:15*16^0=15 ; OUT:FF |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(5,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:left-to-right | 0, 4, 1, 5 | 0+4=4 ; 4+1=5 ; 5+5=10 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-81=0 | 9x-81=0 ; x+-9=0 ; x=0--9 ; x=9 |
list_summation | list_summation:right-to-left | 3, 0, 4, 4 | 4+4=8 ; 0+8=8 ; 3+8=11 |
base_conversion | base_conversion:repeated-division | n=167,base=16 | DIV:167/16=10,r:7 ; DIV:10/16=0,r:10 ; OUT:A7 |
base_conversion | base_conversion:repeated-division | n=27,base=2 | 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:11011 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 7, 9, 4 | [0,6,7,4,9] ; [0,6,4,7,9] ; [0,4,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+12=27 | 3x+12=27 ; 3x=15 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 331+347 | p100:300+300=600 ; p10:30+40=70 ; p1:1+7=8 ; sum=600+70+8=678 |
base_conversion | base_conversion:via-binary | n=131,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:2003 |
base_conversion | base_conversion:repeated-division | n=146,base=8 | DIV:146/8=18,r:2 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:222 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-42=-96 | 6x-42=-96 ; 6x=-54 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=91,base=4 | DIV:91/4=22,r:3 ; DIV:22/4=5,r:2 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1123 |
list_summation | list_summation:left-to-right | 6, 3, 5, 0 | 6+3=9 ; 9+5=14 ; 14+0=14 |
base_conversion | base_conversion:repeated-division | n=107,base=8 | DIV:107/8=13,r:3 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:153 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; R:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 3, 8, 9, 5 | [1,3,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=-24 | 4x+12=-24 ; x=(-24-12)/4 ; x=-36/4 ; x=-9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+0=-12 | 4x+0=-12 ; x=(-12-0)/4 ; x=-12/4 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+72=0 | 8x+72=0 ; x+9=0 ; x=0-9 ; x=-9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=68 | 4x+32=68 ; x=(68-32)/4 ; x=36/4 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 157+475 | d2:7+5+0=12→w2,c1 ; d1:5+7+1=13→w3,c1 ; d0:1+4+1=6→w6,c0 ; sum=632 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-20 | 2x-16=-20 ; 2x=-4 ; x=-2 |
list_summation | list_summation:left-to-right | 6, 9, 1, 6 | 6+9=15 ; 15+1=16 ; 16+6=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=-54 | 9x+27=-54 ; x+3=-6 ; x=-6-3 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 3, 4, 0, 6 | 3+4=7 ; 0+6=6 ; 7+6=13 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 0, 7, 8 | [2,5,0,7,8] ; [0,2,5,7,8] ; [0,2,5,7,8] ; [0,2,5,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 907+499 | round:910+499=1409 ; adjust:1409-3=1406 ; sum=1406 |
multidigit_addition | multidigit_addition:rounding-decomposition | 109+934 | round:110+934=1044 ; adjust:1044-1=1043 ; sum=1043 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 3, 0, 2, 5 | [1,5,0,2,3] ; [5,1,0,2,3] ; [5,3,0,2,1] ; [1,3,0,2,5] ; [3,1,0,2,5] ; [3,2,0,1,5] ; [1,2,0,3,5] ; [2,1,0,3,5] ; [0,1,2,3,5] ; [1,0,2,3,5] ; [0,1,2,3,5] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+54=9 | 9x+54=9 ; 9x=-45 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 918+283 | d2:8+3+0=11→w1,c1 ; d1:1+8+1=10→w0,c1 ; d0:9+2+1=12→w2,c1 ; sum=1201 |
list_summation | list_summation:pairwise | 0, 9, 7, 9 | 0+9=9 ; 7+9=16 ; 9+16=25 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 8, 7, 1, 9 | [2,8,1,7,9] ; [1,2,7,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,3) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 658+255 | round:660+255=915 ; adjust:915-2=913 ; sum=913 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 9, 0, 3 | [2,7,9,0,3] ; [2,7,0,9,3] ; [0,2,7,9,3] ; [0,2,3,7,9] |
list_summation | list_summation:left-to-right | 0, 2, 0, 1 | 0+2=2 ; 2+0=2 ; 2+1=3 |
list_summation | list_summation:right-to-left | 4, 7, 2, 0 | 2+0=2 ; 7+2=9 ; 4+9=13 |
list_summation | list_summation:pairwise | 2, 3, 7, 3 | 2+3=5 ; 7+3=10 ; 5+10=15 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 6, 7, 1 | [5,7,6,3,1] ; [7,5,6,3,1] ; [1,5,6,3,7] ; [6,5,1,3,7] ; [3,5,1,6,7] ; [5,3,1,6,7] ; [1,3,5,6,7] ; [3,1,5,6,7] ; [1,3,5,6,7] |
base_conversion | base_conversion:via-binary | n=51,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; OUT:303 |
list_summation | list_summation:pairwise | 9, 1, 9, 5 | 9+1=10 ; 9+5=14 ; 10+14=24 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 0, 8, 3, 1 | [0,6,8,3,1] ; [0,6,3,8,1] ; [0,3,6,8,1] ; [0,1,3,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 7, 0, 4, 9 | [2,9,0,4,7] ; [9,2,0,4,7] ; [9,7,0,4,2] ; [2,7,0,4,9] ; [7,2,0,4,9] ; [7,4,0,2,9] ; [2,4,0,7,9] ; [4,2,0,7,9] ; [0,2,4,7,9] ; [2,0,4,7,9] ; [0,2,4,7,9] |
base_conversion | base_conversion:decomposition | n=4,base=2 | TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:100 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 4, 9, 1, 3 | [0,4,9,1,3] ; [0,4,9,1,3] ; [0,1,4,9,3] ; [0,1,3,4,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=251,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11111011 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; R:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+0=-72 | 8x+0=-72 ; x=(-72-0)/8 ; x=-72/8 ; x=-9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 134+901 | p100:100+900=1000 ; p10:30+0=30 ; p1:4+1=5 ; sum=1000+30+5=1035 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+40=48 | 8x+40=48 ; x+5=6 ; x=6-5 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 326+193 | round:330+193=523 ; adjust:523-4=519 ; sum=519 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=18 | 9x+0=18 ; 9x=18 ; x=2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 2, 7, 3, 6 | [2,9,7,3,6] ; [2,7,9,3,6] ; [2,7,3,9,6] ; [2,7,3,6,9] ; [2,3,7,6,9] ; [2,3,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,5) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=40,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:101000 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 9, 7, 6 | [3,7,9,5,6] ; [9,7,3,5,6] ; [6,7,3,5,9] ; [7,6,3,5,9] ; [5,6,3,7,9] ; [6,5,3,7,9] ; [3,5,6,7,9] ; [5,3,6,7,9] ; [3,5,6,7,9] |
list_summation | list_summation:left-to-right | 3, 4, 8, 9 | 3+4=7 ; 7+8=15 ; 15+9=24 |
base_conversion | base_conversion:repeated-division | n=243,base=16 | DIV:243/16=15,r:3 ; DIV:15/16=0,r:15 ; OUT:F3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 686+473 | d2:6+3+0=9→w9,c0 ; d1:8+7+0=15→w5,c1 ; d0:6+4+1=11→w1,c1 ; sum=1159 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-2=-16 | 2x-2=-16 ; x=(-16--2)/2 ; x=-14/2 ; x=-7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 803+141 | round:810+141=951 ; adjust:951-7=944 ; sum=944 |
multidigit_addition | multidigit_addition:rounding-decomposition | 171+184 | round:180+184=364 ; adjust:364-9=355 ; sum=355 |
list_summation | list_summation:pairwise | 2, 1, 0, 3 | 2+1=3 ; 0+3=3 ; 3+3=6 |
base_conversion | base_conversion:repeated-division | n=156,base=4 | DIV:156/4=39,r:0 ; DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2130 |
list_summation | list_summation:pairwise | 2, 1, 8, 8 | 2+1=3 ; 8+8=16 ; 3+16=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,5) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 2, 3, 8, 5 | 2+3=5 ; 8+5=13 ; 5+13=18 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 3, 1, 6 | [8,9,3,1,6] ; [3,8,9,1,6] ; [1,3,8,9,6] ; [1,3,6,8,9] |
base_conversion | base_conversion:repeated-division | n=75,base=2 | DIV:75/2=37,r:1 ; DIV:37/2=18,r:1 ; 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:1001011 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,2) | D:(3,1) ; R:(3,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 460+580 | d2:0+0+0=0→w0,c0 ; d1:6+8+0=14→w4,c1 ; d0:4+5+1=10→w0,c1 ; sum=1040 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 4, 6, 0 | [1,8,4,6,0] ; [1,4,8,6,0] ; [1,4,6,8,0] ; [1,4,6,0,8] ; [1,4,0,6,8] ; [1,0,4,6,8] ; [0,1,4,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 441+227 | round:450+227=677 ; adjust:677-9=668 ; sum=668 |
base_conversion | base_conversion:repeated-division | n=218,base=4 | DIV:218/4=54,r:2 ; DIV:54/4=13,r:2 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3122 |
list_summation | list_summation:left-to-right | 3, 1, 5, 1 | 3+1=4 ; 4+5=9 ; 9+1=10 |
base_conversion | base_conversion:via-binary | n=75,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:11 ; OUT:4B |
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