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:divide-then-subtract | 9x-9=18 | 9x-9=18 ; x+-1=2 ; x=2--1 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,3) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
base_conversion | base_conversion:decomposition | n=82,base=16 | TERM:5*16^1=80 ; TERM:2*16^0=2 ; OUT:52 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 8, 3, 7 | [0,2,8,3,7] ; [0,2,8,3,7] ; [0,2,3,8,7] ; [0,2,3,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+3=3 | 3x+3=3 ; x=(3-3)/3 ; x=0/3 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(4,3) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
base_conversion | base_conversion:repeated-division | n=138,base=2 | DIV:138/2=69,r:0 ; DIV:69/2=34,r:1 ; DIV:34/2=17,r:0 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10001010 |
multidigit_addition | multidigit_addition:rounding-decomposition | 531+873 | round:540+873=1413 ; adjust:1413-9=1404 ; sum=1404 |
list_summation | list_summation:left-to-right | 2, 3, 5, 7 | 2+3=5 ; 5+5=10 ; 10+7=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 478+672 | d2:8+2+0=10→w0,c1 ; d1:7+7+1=15→w5,c1 ; d0:4+6+1=11→w1,c1 ; sum=1150 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 9, 4, 8, 4 | 8+4=12 ; 4+12=16 ; 9+16=25 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 9, 7, 3, 1 | [9,2,7,3,1] ; [9,3,7,2,1] ; [1,3,7,2,9] ; [7,3,1,2,9] ; [2,3,1,7,9] ; [3,2,1,7,9] ; [1,2,3,7,9] ; [2,1,3,7,9] ; [1,2,3,7,9] |
base_conversion | base_conversion:decomposition | n=77,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:1031 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 3, 2, 6, 0 | [3,8,2,6,0] ; [3,2,8,6,0] ; [3,2,6,8,0] ; [3,2,6,0,8] ; [2,3,6,0,8] ; [2,3,0,6,8] ; [2,0,3,6,8] ; [0,2,3,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=-18 | 9x+18=-18 ; 9x=-36 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+5=45 | 5x+5=45 ; 5x=40 ; x=8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 349+703 | p100:300+700=1000 ; p10:40+0=40 ; p1:9+3=12 ; sum=1000+40+12=1052 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 2, 1, 9, 8 | [0,1,2,9,8] ; [0,1,2,8,9] |
base_conversion | base_conversion:decomposition | n=106,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:2*8^0=2 ; OUT:152 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 4, 1, 8, 6 | [4,7,1,8,6] ; [1,4,7,8,6] ; [1,4,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,4) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 6, 2, 9, 8 | [4,9,2,6,8] ; [9,4,2,6,8] ; [9,8,2,6,4] ; [4,8,2,6,9] ; [8,4,2,6,9] ; [8,6,2,4,9] ; [4,6,2,8,9] ; [6,4,2,8,9] ; [2,4,6,8,9] ; [4,2,6,8,9] ; [2,4,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 902+614 | round:910+614=1524 ; adjust:1524-8=1516 ; sum=1516 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+54=18 | 6x+54=18 ; x+9=3 ; x=3-9 ; x=-6 |
base_conversion | base_conversion:repeated-division | n=198,base=4 | DIV:198/4=49,r:2 ; DIV:49/4=12,r:1 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3012 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 2, 0, 4, 5 | [2,6,0,4,5] ; [0,2,6,4,5] ; [0,2,4,6,5] ; [0,2,4,5,6] |
list_summation | list_summation:pairwise | 0, 0, 4, 1 | 0+0=0 ; 4+1=5 ; 0+5=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 8, 0, 9 | [1,7,0,8,9] ; [0,1,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 2, 6, 1, 4 | [2,9,6,1,4] ; [2,6,9,1,4] ; [2,6,1,9,4] ; [2,6,1,4,9] ; [2,1,6,4,9] ; [2,1,4,6,9] ; [1,2,4,6,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 5, 7, 9 | [0,5,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 917+541 | p100:900+500=1400 ; p10:10+40=50 ; p1:7+1=8 ; sum=1400+50+8=1458 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=21 | 7x+35=21 ; x=(21-35)/7 ; x=-14/7 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 868+271 | d2:8+1+0=9→w9,c0 ; d1:6+7+0=13→w3,c1 ; d0:8+2+1=11→w1,c1 ; sum=1139 |
multidigit_addition | multidigit_addition:right-to-left-carry | 294+988 | d2:4+8+0=12→w2,c1 ; d1:9+8+1=18→w8,c1 ; d0:2+9+1=12→w2,c1 ; sum=1282 |
multidigit_addition | multidigit_addition:left-to-right-partials | 986+969 | p100:900+900=1800 ; p10:80+60=140 ; p1:6+9=15 ; sum=1800+140+15=1955 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-72=-72 | 8x-72=-72 ; x=(-72--72)/8 ; x=0/8 ; x=0 |
list_summation | list_summation:left-to-right | 3, 3, 1, 0 | 3+3=6 ; 6+1=7 ; 7+0=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 361+193 | d2:1+3+0=4→w4,c0 ; d1:6+9+0=15→w5,c1 ; d0:3+1+1=5→w5,c0 ; sum=554 |
base_conversion | base_conversion:repeated-division | n=50,base=4 | DIV:50/4=12,r:2 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:302 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 8, 1, 2 | [0,6,1,8,2] ; [0,6,1,2,8] ; [0,1,6,2,8] ; [0,1,2,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 2, 3, 1 | [6,9,2,3,1] ; [2,6,9,3,1] ; [2,3,6,9,1] ; [1,2,3,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,4) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
base_conversion | base_conversion:decomposition | n=28,base=4 | TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:130 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
list_summation | list_summation:right-to-left | 5, 4, 3, 3 | 3+3=6 ; 4+6=10 ; 5+10=15 |
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 | 4, 0, 8, 5, 6 | [0,4,8,5,6] ; [0,4,8,5,6] ; [0,4,5,8,6] ; [0,4,5,6,8] |
list_summation | list_summation:right-to-left | 7, 0, 6, 3 | 6+3=9 ; 0+9=9 ; 7+9=16 |
list_summation | list_summation:pairwise | 1, 5, 7, 3 | 1+5=6 ; 7+3=10 ; 6+10=16 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+45=63 | 9x+45=63 ; x=(63-45)/9 ; x=18/9 ; x=2 |
list_summation | list_summation:pairwise | 1, 5, 8, 1 | 1+5=6 ; 8+1=9 ; 6+9=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+15=60 | 5x+15=60 ; x+3=12 ; x=12-3 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=80 | 8x+64=80 ; 8x=16 ; x=2 |
list_summation | list_summation:pairwise | 1, 8, 7, 0 | 1+8=9 ; 7+0=7 ; 9+7=16 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,3) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
base_conversion | base_conversion:decomposition | n=32,base=2 | 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:100000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+6=18 | 3x+6=18 ; 3x=12 ; x=4 |
list_summation | list_summation:left-to-right | 4, 6, 4, 5 | 4+6=10 ; 10+4=14 ; 14+5=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(5,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+28=-7 | 7x+28=-7 ; x+4=-1 ; x=-1-4 ; x=-5 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 7, 6, 0 | [3,9,6,7,0] ; [3,6,7,9,0] ; [0,3,6,7,9] |
base_conversion | base_conversion:decomposition | n=87,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:1113 |
base_conversion | base_conversion:via-binary | n=100,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:4 ; OUT:64 |
list_summation | list_summation:pairwise | 3, 8, 4, 1 | 3+8=11 ; 4+1=5 ; 11+5=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 749+246 | round:750+246=996 ; adjust:996-1=995 ; sum=995 |
list_summation | list_summation:right-to-left | 7, 2, 7, 9 | 7+9=16 ; 2+16=18 ; 7+18=25 |
list_summation | list_summation:left-to-right | 0, 3, 7, 5 | 0+3=3 ; 3+7=10 ; 10+5=15 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 3, 4, 9, 2 | [8,9,4,3,2] ; [9,8,4,3,2] ; [2,8,4,3,9] ; [8,2,4,3,9] ; [8,3,4,2,9] ; [2,3,4,8,9] ; [4,3,2,8,9] ; [2,3,4,8,9] ; [3,2,4,8,9] ; [2,3,4,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
list_summation | list_summation:right-to-left | 9, 6, 6, 1 | 6+1=7 ; 6+7=13 ; 9+13=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-40=-24 | 8x-40=-24 ; x=(-24--40)/8 ; x=16/8 ; x=2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=40 | 8x-16=40 ; 8x=56 ; x=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 797+830 | p100:700+800=1500 ; p10:90+30=120 ; p1:7+0=7 ; sum=1500+120+7=1627 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=84 | 6x+48=84 ; x+8=14 ; x=14-8 ; x=6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,5) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+21=-14 | 7x+21=-14 ; x=(-14-21)/7 ; x=-35/7 ; x=-5 |
list_summation | list_summation:pairwise | 0, 1, 6, 9 | 0+1=1 ; 6+9=15 ; 1+15=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+36=0 | 9x+36=0 ; 9x=-36 ; x=-4 |
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=(2,2) ; G=(5,4) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 1, 8, 4, 0 | [1,5,8,4,0] ; [1,5,4,8,0] ; [1,5,4,0,8] ; [1,4,5,0,8] ; [1,4,0,5,8] ; [1,0,4,5,8] ; [0,1,4,5,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 2, 1, 4, 0 | [2,7,1,4,0] ; [2,1,7,4,0] ; [2,1,4,7,0] ; [2,1,4,0,7] ; [1,2,4,0,7] ; [1,2,0,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 293+127 | p100:200+100=300 ; p10:90+20=110 ; p1:3+7=10 ; sum=300+110+10=420 |
list_summation | list_summation:left-to-right | 7, 7, 7, 2 | 7+7=14 ; 14+7=21 ; 21+2=23 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 3, 5, 8, 4 | [1,3,5,4,8] ; [1,3,4,5,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 1, 9, 5 | [1,8,4,9,5] ; [1,4,8,9,5] ; [1,4,5,9,8] ; [1,4,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 901+315 | p100:900+300=1200 ; p10:0+10=10 ; p1:1+5=6 ; sum=1200+10+6=1216 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+35=-21 | 7x+35=-21 ; 7x=-56 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+16=64 | 8x+16=64 ; 8x=48 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=17,base=16 | TERM:1*16^1=16 ; TERM:1*16^0=1 ; OUT:11 |
base_conversion | base_conversion:repeated-division | n=224,base=8 | DIV:224/8=28,r:0 ; DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:340 |
multidigit_addition | multidigit_addition:rounding-decomposition | 638+523 | round:640+523=1163 ; adjust:1163-2=1161 ; sum=1161 |
list_summation | list_summation:pairwise | 4, 8, 4, 3 | 4+8=12 ; 4+3=7 ; 12+7=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 160+585 | p100:100+500=600 ; p10:60+80=140 ; p1:0+5=5 ; sum=600+140+5=745 |
base_conversion | base_conversion:repeated-division | n=190,base=16 | DIV:190/16=11,r:14 ; DIV:11/16=0,r:11 ; OUT:BE |
list_summation | list_summation:right-to-left | 6, 6, 2, 6 | 2+6=8 ; 6+8=14 ; 6+14=20 |
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