task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 402+545 | p100:400+500=900 ; p10:0+40=40 ; p1:2+5=7 ; sum=900+40+7=947 |
base_conversion | base_conversion:via-binary | n=195,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3003 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-6=-9 | 3x-6=-9 ; x+-2=-3 ; x=-3--2 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 950+970 | d2:0+0+0=0→w0,c0 ; d1:5+7+0=12→w2,c1 ; d0:9+9+1=19→w9,c1 ; sum=1920 |
list_summation | list_summation:right-to-left | 7, 9, 9, 2 | 9+2=11 ; 9+11=20 ; 7+20=27 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=18 | 6x+12=18 ; x+2=3 ; x=3-2 ; x=1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:repeated-division | n=26,base=4 | DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:122 |
list_summation | list_summation:left-to-right | 5, 4, 4, 6 | 5+4=9 ; 9+4=13 ; 13+6=19 |
base_conversion | base_conversion:repeated-division | n=193,base=2 | DIV:193/2=96,r:1 ; DIV:96/2=48,r:0 ; DIV:48/2=24,r:0 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11000001 |
base_conversion | base_conversion:decomposition | n=252,base=16 | TERM:15*16^1=240 ; TERM:12*16^0=12 ; OUT:FC |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-24=0 | 4x-24=0 ; x+-6=0 ; x=0--6 ; x=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 4, 8, 7, 9 | [4,6,8,7,9] ; [4,6,8,7,9] ; [4,6,7,8,9] ; [4,6,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 409+364 | d2:9+4+0=13→w3,c1 ; d1:0+6+1=7→w7,c0 ; d0:4+3+0=7→w7,c0 ; sum=773 |
multidigit_addition | multidigit_addition:rounding-decomposition | 250+735 | round:250+735=985 ; adjust:985-0=985 ; sum=985 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 5, 7, 0, 3 | [5,6,7,0,3] ; [5,6,0,7,3] ; [0,5,6,7,3] ; [0,3,5,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,3) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+10=-8 | 2x+10=-8 ; 2x=-18 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=232,base=8 | DIV:232/8=29,r:0 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:350 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 0, 5, 6, 3 | [0,9,5,6,3] ; [0,5,9,6,3] ; [0,5,6,9,3] ; [0,3,5,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 570+332 | d2:0+2+0=2→w2,c0 ; d1:7+3+0=10→w0,c1 ; d0:5+3+1=9→w9,c0 ; sum=902 |
base_conversion | base_conversion:via-binary | n=136,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:8 ; OUT:88 |
base_conversion | base_conversion:decomposition | n=144,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10010000 |
list_summation | list_summation:left-to-right | 6, 9, 1, 1 | 6+9=15 ; 15+1=16 ; 16+1=17 |
base_conversion | base_conversion:via-binary | n=174,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:2232 |
multidigit_addition | multidigit_addition:left-to-right-partials | 666+850 | p100:600+800=1400 ; p10:60+50=110 ; p1:6+0=6 ; sum=1400+110+6=1516 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 3, 6, 9 | [2,7,3,6,9] ; [2,3,6,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 8, 3, 0, 5 | [8,4,3,0,5] ; [8,5,3,0,4] ; [4,5,3,0,8] ; [5,4,3,0,8] ; [0,4,3,5,8] ; [4,0,3,5,8] ; [3,0,4,5,8] ; [0,3,4,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 196+298 | round:200+298=498 ; adjust:498-4=494 ; sum=494 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 3, 6, 2, 4 | [0,3,2,6,4] ; [0,3,2,4,6] ; [0,2,3,4,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-21=-30 | 3x-21=-30 ; x+-7=-10 ; x=-10--7 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+2=-10 | 2x+2=-10 ; x=(-10-2)/2 ; x=-12/2 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-112 | 7x-56=-112 ; x=(-112--56)/7 ; x=-56/7 ; x=-8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(2,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) |
list_summation | list_summation:right-to-left | 8, 7, 4, 3 | 4+3=7 ; 7+7=14 ; 8+14=22 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=155,base=4 | DIV:155/4=38,r:3 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2123 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 3, 2, 7, 1 | [3,8,2,7,1] ; [3,2,8,7,1] ; [3,2,7,8,1] ; [3,2,7,1,8] ; [2,3,7,1,8] ; [2,3,1,7,8] ; [2,1,3,7,8] ; [1,2,3,7,8] |
list_summation | list_summation:pairwise | 0, 4, 9, 4 | 0+4=4 ; 9+4=13 ; 4+13=17 |
base_conversion | base_conversion:decomposition | n=186,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10111010 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=24 | 2x+12=24 ; 2x=12 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 485+453 | p100:400+400=800 ; p10:80+50=130 ; p1:5+3=8 ; sum=800+130+8=938 |
multidigit_addition | multidigit_addition:right-to-left-carry | 911+201 | d2:1+1+0=2→w2,c0 ; d1:1+0+0=1→w1,c0 ; d0:9+2+0=11→w1,c1 ; sum=1112 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 3, 1, 7, 4 | [0,3,1,7,4] ; [0,1,3,7,4] ; [0,1,3,7,4] ; [0,1,3,4,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-25=-15 | 5x-25=-15 ; x+-5=-3 ; x=-3--5 ; x=2 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 8, 3, 1, 7 | [1,8,3,6,7] ; [1,3,8,6,7] ; [1,3,6,8,7] ; [1,3,6,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 6, 4, 2, 5 | [6,0,4,2,5] ; [6,5,4,2,0] ; [0,5,4,2,6] ; [5,0,4,2,6] ; [5,2,4,0,6] ; [0,2,4,5,6] ; [4,2,0,5,6] ; [0,2,4,5,6] ; [2,0,4,5,6] ; [0,2,4,5,6] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 0, 9, 1 | [2,5,0,9,1] ; [0,2,5,9,1] ; [0,2,5,9,1] ; [0,1,2,5,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 4, 6, 8 | [3,4,6,9,8] ; [3,4,6,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=25 | 5x+0=25 ; 5x=25 ; x=5 |
list_summation | list_summation:left-to-right | 2, 4, 8, 3 | 2+4=6 ; 6+8=14 ; 14+3=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 7, 1, 9, 3 | [2,9,1,7,3] ; [9,2,1,7,3] ; [9,7,1,2,3] ; [3,7,1,2,9] ; [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] |
multidigit_addition | multidigit_addition:rounding-decomposition | 834+289 | round:840+289=1129 ; adjust:1129-6=1123 ; sum=1123 |
list_summation | list_summation:right-to-left | 8, 9, 5, 4 | 5+4=9 ; 9+9=18 ; 8+18=26 |
base_conversion | base_conversion:decomposition | n=69,base=8 | TERM:1*8^2=64 ; TERM:0*8^1=0 ; TERM:5*8^0=5 ; OUT:105 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 4, 2, 1, 5 | [9,5,2,1,4] ; [4,5,2,1,9] ; [5,4,2,1,9] ; [1,4,2,5,9] ; [4,1,2,5,9] ; [2,1,4,5,9] ; [1,2,4,5,9] |
base_conversion | base_conversion:via-binary | n=56,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:320 |
list_summation | list_summation:right-to-left | 4, 8, 8, 4 | 8+4=12 ; 8+12=20 ; 4+20=24 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 8, 6, 5, 2 | [8,3,6,5,2] ; [8,5,6,3,2] ; [2,5,6,3,8] ; [6,5,2,3,8] ; [3,5,2,6,8] ; [5,3,2,6,8] ; [2,3,5,6,8] ; [3,2,5,6,8] ; [2,3,5,6,8] |
list_summation | list_summation:left-to-right | 1, 8, 2, 6 | 1+8=9 ; 9+2=11 ; 11+6=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 390+314 | p100:300+300=600 ; p10:90+10=100 ; p1:0+4=4 ; sum=600+100+4=704 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 988+227 | d2:8+7+0=15→w5,c1 ; d1:8+2+1=11→w1,c1 ; d0:9+2+1=12→w2,c1 ; sum=1215 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-54=-117 | 9x-54=-117 ; x+-6=-13 ; x=-13--6 ; x=-7 |
list_summation | list_summation:left-to-right | 8, 5, 3, 2 | 8+5=13 ; 13+3=16 ; 16+2=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 769+531 | p100:700+500=1200 ; p10:60+30=90 ; p1:9+1=10 ; sum=1200+90+10=1300 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 4, 0, 6, 5 | [1,0,4,6,5] ; [1,0,4,5,6] ; [0,1,4,5,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 884+599 | p100:800+500=1300 ; p10:80+90=170 ; p1:4+9=13 ; sum=1300+170+13=1483 |
base_conversion | base_conversion:via-binary | n=5,base=16 | BINLEN:3 ; CHUNK:0:5 ; OUT:5 |
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) |
base_conversion | base_conversion:via-binary | n=139,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10001011 |
multidigit_addition | multidigit_addition:rounding-decomposition | 565+410 | round:570+410=980 ; adjust:980-5=975 ; sum=975 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-27=54 | 9x-27=54 ; x=(54--27)/9 ; x=81/9 ; x=9 |
base_conversion | base_conversion:decomposition | n=232,base=8 | TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:0*8^0=0 ; OUT:350 |
list_summation | list_summation:left-to-right | 6, 1, 0, 9 | 6+1=7 ; 7+0=7 ; 7+9=16 |
multidigit_addition | multidigit_addition:right-to-left-carry | 964+601 | d2:4+1+0=5→w5,c0 ; d1:6+0+0=6→w6,c0 ; d0:9+6+0=15→w5,c1 ; sum=1565 |
list_summation | list_summation:right-to-left | 1, 3, 8, 9 | 8+9=17 ; 3+17=20 ; 1+20=21 |
base_conversion | base_conversion:repeated-division | n=251,base=2 | DIV:251/2=125,r:1 ; DIV:125/2=62,r:1 ; DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11111011 |
base_conversion | base_conversion:decomposition | n=152,base=4 | TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:2120 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+10=18 | 2x+10=18 ; 2x=8 ; x=4 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 5, 9, 7, 0 | [0,5,9,7,4] ; [0,4,9,7,5] ; [0,4,5,7,9] ; [0,4,5,7,9] |
list_summation | list_summation:pairwise | 1, 9, 5, 2 | 1+9=10 ; 5+2=7 ; 10+7=17 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+6=22 | 2x+6=22 ; x+3=11 ; x=11-3 ; x=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 388+358 | round:390+358=748 ; adjust:748-2=746 ; sum=746 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+2=18 | 2x+2=18 ; x+1=9 ; x=9-1 ; x=8 |
base_conversion | base_conversion:decomposition | n=53,base=16 | TERM:3*16^1=48 ; TERM:5*16^0=5 ; OUT:35 |
multidigit_addition | multidigit_addition:left-to-right-partials | 407+679 | p100:400+600=1000 ; p10:0+70=70 ; p1:7+9=16 ; sum=1000+70+16=1086 |
base_conversion | base_conversion:repeated-division | n=116,base=2 | DIV:116/2=58,r:0 ; DIV:58/2=29,r:0 ; DIV:29/2=14,r:1 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1110100 |
base_conversion | base_conversion:via-binary | n=235,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:3223 |
multidigit_addition | multidigit_addition:rounding-decomposition | 824+755 | round:830+755=1585 ; adjust:1585-6=1579 ; sum=1579 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 6, 8, 1, 5 | [1,6,8,2,5] ; [1,2,8,6,5] ; [1,2,5,6,8] ; [1,2,5,6,8] |
list_summation | list_summation:left-to-right | 9, 2, 8, 3 | 9+2=11 ; 11+8=19 ; 19+3=22 |
base_conversion | base_conversion:decomposition | n=224,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; 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:11100000 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 2, 3, 5, 0 | [7,5,3,2,0] ; [0,5,3,2,7] ; [5,0,3,2,7] ; [5,2,3,0,7] ; [0,2,3,5,7] ; [3,2,0,5,7] ; [0,2,3,5,7] ; [2,0,3,5,7] ; [0,2,3,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=-9 | 3x+12=-9 ; x=(-9-12)/3 ; x=-21/3 ; x=-7 |
list_summation | list_summation:pairwise | 2, 2, 6, 8 | 2+2=4 ; 6+8=14 ; 4+14=18 |
base_conversion | base_conversion:repeated-division | n=197,base=4 | DIV:197/4=49,r:1 ; DIV:49/4=12,r:1 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3011 |
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