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 | 8x+24=-8 | 8x+24=-8 ; x+3=-1 ; x=-1-3 ; x=-4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 765+700 | d2:5+0+0=5→w5,c0 ; d1:6+0+0=6→w6,c0 ; d0:7+7+0=14→w4,c1 ; sum=1465 |
multidigit_addition | multidigit_addition:rounding-decomposition | 838+792 | round:840+792=1632 ; adjust:1632-2=1630 ; sum=1630 |
list_summation | list_summation:pairwise | 2, 0, 6, 2 | 2+0=2 ; 6+2=8 ; 2+8=10 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 2, 6, 9, 0 | [0,1,2,6,9] |
list_summation | list_summation:pairwise | 8, 5, 0, 8 | 8+5=13 ; 0+8=8 ; 13+8=21 |
base_conversion | base_conversion:repeated-division | n=90,base=16 | DIV:90/16=5,r:10 ; DIV:5/16=0,r:5 ; OUT:5A |
base_conversion | base_conversion:repeated-division | n=239,base=8 | DIV:239/8=29,r:7 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:357 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+35=75 | 5x+35=75 ; 5x=40 ; x=8 |
list_summation | list_summation:right-to-left | 1, 2, 5, 2 | 5+2=7 ; 2+7=9 ; 1+9=10 |
base_conversion | base_conversion:decomposition | n=80,base=16 | TERM:5*16^1=80 ; TERM:0*16^0=0 ; OUT:50 |
list_summation | list_summation:right-to-left | 4, 1, 6, 9 | 6+9=15 ; 1+15=16 ; 4+16=20 |
base_conversion | base_conversion:repeated-division | n=192,base=4 | DIV:192/4=48,r:0 ; DIV:48/4=12,r:0 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3000 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 879+557 | d2:9+7+0=16→w6,c1 ; d1:7+5+1=13→w3,c1 ; d0:8+5+1=14→w4,c1 ; sum=1436 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 6, 9, 3, 2 | [9,6,7,3,2] ; [2,6,7,3,9] ; [7,6,2,3,9] ; [3,6,2,7,9] ; [6,3,2,7,9] ; [2,3,6,7,9] ; [3,2,6,7,9] ; [2,3,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=40 | 4x+36=40 ; 4x=4 ; x=1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-72=-112 | 8x-72=-112 ; 8x=-40 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 6, 8, 2, 5 | [3,6,2,8,5] ; [3,6,2,5,8] ; [3,2,6,5,8] ; [3,2,5,6,8] ; [2,3,5,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 120+756 | d2:0+6+0=6→w6,c0 ; d1:2+5+0=7→w7,c0 ; d0:1+7+0=8→w8,c0 ; sum=876 |
base_conversion | base_conversion:via-binary | n=125,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1111101 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 2, 9, 5 | [1,7,2,9,5] ; [1,2,7,9,5] ; [1,2,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=-18 | 3x-12=-18 ; x=(-18--12)/3 ; x=-6/3 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,5) | D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 3, 4, 1, 5 | 3+4=7 ; 1+5=6 ; 7+6=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 832+151 | p100:800+100=900 ; p10:30+50=80 ; p1:2+1=3 ; sum=900+80+3=983 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 3, 6, 4, 7 | [3,8,6,4,7] ; [3,8,4,6,7] ; [3,4,6,8,7] ; [3,4,6,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-16=-24 | 2x-16=-24 ; x=(-24--16)/2 ; x=-8/2 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-16=-18 | 2x-16=-18 ; x=(-18--16)/2 ; x=-2/2 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 425+124 | p100:400+100=500 ; p10:20+20=40 ; p1:5+4=9 ; sum=500+40+9=549 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+48=60 | 6x+48=60 ; x=(60-48)/6 ; x=12/6 ; x=2 |
base_conversion | base_conversion:repeated-division | n=57,base=8 | DIV:57/8=7,r:1 ; DIV:7/8=0,r:7 ; OUT:71 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:left-to-right | 5, 0, 2, 4 | 5+0=5 ; 5+2=7 ; 7+4=11 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,5) | D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 540+469 | d2:0+9+0=9→w9,c0 ; d1:4+6+0=10→w0,c1 ; d0:5+4+1=10→w0,c1 ; sum=1009 |
list_summation | list_summation:right-to-left | 0, 6, 0, 9 | 0+9=9 ; 6+9=15 ; 0+15=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+25=60 | 5x+25=60 ; x+5=12 ; x=12-5 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 550+852 | d2:0+2+0=2→w2,c0 ; d1:5+5+0=10→w0,c1 ; d0:5+8+1=14→w4,c1 ; sum=1402 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=-60 | 5x-45=-60 ; 5x=-15 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 634+666 | round:640+666=1306 ; adjust:1306-6=1300 ; sum=1300 |
multidigit_addition | multidigit_addition:right-to-left-carry | 308+923 | d2:8+3+0=11→w1,c1 ; d1:0+2+1=3→w3,c0 ; d0:3+9+0=12→w2,c1 ; sum=1231 |
base_conversion | base_conversion:via-binary | n=210,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:2 ; OUT:D2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 211+846 | round:220+846=1066 ; adjust:1066-9=1057 ; sum=1057 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 2, 0, 4, 9 | [2,5,0,4,9] ; [0,2,4,5,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 171+420 | d2:1+0+0=1→w1,c0 ; d1:7+2+0=9→w9,c0 ; d0:1+4+0=5→w5,c0 ; sum=591 |
multidigit_addition | multidigit_addition:rounding-decomposition | 947+401 | round:950+401=1351 ; adjust:1351-3=1348 ; sum=1348 |
list_summation | list_summation:pairwise | 3, 0, 0, 3 | 3+0=3 ; 0+3=3 ; 3+3=6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 2, 8, 9, 1 | [0,2,8,1,9] ; [0,2,1,8,9] ; [0,1,2,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 3, 9, 7, 2 | [3,8,9,7,2] ; [3,8,9,7,2] ; [3,7,8,9,2] ; [2,3,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 4, 0, 2, 3 | [4,8,0,2,3] ; [0,2,4,8,3] ; [0,2,3,4,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
list_summation | list_summation:left-to-right | 9, 3, 7, 7 | 9+3=12 ; 12+7=19 ; 19+7=26 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=-6 | 6x+48=-6 ; x+8=-1 ; x=-1-8 ; x=-9 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 6, 7, 9, 4 | [3,6,7,9,4] ; [3,6,7,9,4] ; [3,6,7,9,4] ; [3,4,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 1, 3, 8 | [0,2,1,3,8] ; [0,1,2,3,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 4, 6, 1, 2 | [2,4,6,1,8] ; [6,4,2,1,8] ; [1,4,2,6,8] ; [4,1,2,6,8] ; [2,1,4,6,8] ; [1,2,4,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 665+971 | p100:600+900=1500 ; p10:60+70=130 ; p1:5+1=6 ; sum=1500+130+6=1636 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 7, 2, 0, 6 | [0,7,2,9,6] ; [0,2,7,9,6] ; [0,2,6,9,7] ; [0,2,6,7,9] |
base_conversion | base_conversion:decomposition | n=195,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11000011 |
base_conversion | base_conversion:decomposition | n=152,base=16 | TERM:9*16^1=144 ; TERM:8*16^0=8 ; OUT:98 |
base_conversion | base_conversion:via-binary | n=106,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1101010 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 6, 3, 7 | [9,7,6,3,5] ; [5,7,6,3,9] ; [7,5,6,3,9] ; [3,5,6,7,9] ; [6,5,3,7,9] ; [3,5,6,7,9] ; [5,3,6,7,9] ; [3,5,6,7,9] |
base_conversion | base_conversion:repeated-division | n=132,base=8 | DIV:132/8=16,r:4 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:204 |
base_conversion | base_conversion:via-binary | n=76,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1001100 |
base_conversion | base_conversion:via-binary | n=44,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:230 |
multidigit_addition | multidigit_addition:left-to-right-partials | 621+733 | p100:600+700=1300 ; p10:20+30=50 ; p1:1+3=4 ; sum=1300+50+4=1354 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 3, 7, 0, 1 | [0,3,7,4,1] ; [0,1,7,4,3] ; [0,1,3,4,7] ; [0,1,3,4,7] |
list_summation | list_summation:pairwise | 8, 4, 9, 3 | 8+4=12 ; 9+3=12 ; 12+12=24 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+18=18 | 3x+18=18 ; x=(18-18)/3 ; x=0/3 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 6, 2, 7, 0 | [6,9,2,7,0] ; [6,2,9,7,0] ; [6,2,7,9,0] ; [6,2,7,0,9] ; [2,6,7,0,9] ; [2,6,0,7,9] ; [2,0,6,7,9] ; [0,2,6,7,9] |
base_conversion | base_conversion:repeated-division | n=249,base=4 | DIV:249/4=62,r:1 ; DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3321 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-36=-54 | 9x-36=-54 ; x=(-54--36)/9 ; x=-18/9 ; x=-2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 4, 0, 5 | [1,6,4,0,5] ; [1,4,6,0,5] ; [0,1,4,6,5] ; [0,1,4,5,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=0 | 5x+0=0 ; x=(0-0)/5 ; x=0/5 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,2) | R:(1,2) ; D:(2,2) |
base_conversion | base_conversion:decomposition | n=140,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10001100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+49=7 | 7x+49=7 ; 7x=-42 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+64=112 | 8x+64=112 ; x+8=14 ; x=14-8 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 546+494 | d2:6+4+0=10→w0,c1 ; d1:4+9+1=14→w4,c1 ; d0:5+4+1=10→w0,c1 ; sum=1040 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 9, 6, 0, 5 | [3,6,9,0,5] ; [3,6,0,9,5] ; [3,6,0,5,9] ; [3,0,6,5,9] ; [3,0,5,6,9] ; [0,3,5,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,4) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+32=48 | 4x+32=48 ; 4x=16 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=80 | 5x+45=80 ; x+9=16 ; x=16-9 ; x=7 |
list_summation | list_summation:left-to-right | 2, 1, 8, 6 | 2+1=3 ; 3+8=11 ; 11+6=17 |
list_summation | list_summation:left-to-right | 7, 4, 3, 1 | 7+4=11 ; 11+3=14 ; 14+1=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
list_summation | list_summation:right-to-left | 3, 2, 3, 0 | 3+0=3 ; 2+3=5 ; 3+5=8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+72=90 | 9x+72=90 ; x+8=10 ; x=10-8 ; x=2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 6, 8, 7 | [4,9,6,8,7] ; [4,6,9,8,7] ; [4,6,8,9,7] ; [4,6,8,7,9] ; [4,6,7,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,3) | D:(3,1) ; R:(3,2) ; R:(3,3) |
list_summation | list_summation:right-to-left | 1, 3, 1, 2 | 1+2=3 ; 3+3=6 ; 1+6=7 |
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