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+54=12 | 6x+54=12 ; 6x=-42 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=-104 | 8x-64=-104 ; 8x=-40 ; x=-5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 9, 5, 2 | [0,7,9,5,2] ; [0,7,9,5,2] ; [0,5,7,9,2] ; [0,2,5,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+14=42 | 7x+14=42 ; x+2=6 ; x=6-2 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
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:subtract-then-divide | 5x-35=-15 | 5x-35=-15 ; 5x=20 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 2, 4, 6 | [5,8,2,4,6] ; [2,5,8,4,6] ; [2,4,5,8,6] ; [2,4,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 3, 4, 0 | [1,6,3,4,0] ; [1,3,6,4,0] ; [1,3,4,6,0] ; [0,1,3,4,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=54 | 6x+24=54 ; x=(54-24)/6 ; x=30/6 ; x=5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 6, 5, 0 | [3,9,6,5,0] ; [3,6,9,5,0] ; [3,5,6,9,0] ; [0,3,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-15=-21 | 3x-15=-21 ; x=(-21--15)/3 ; x=-6/3 ; x=-2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=-5 | 5x-5=-5 ; x+-1=-1 ; x=-1--1 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+10=8 | 2x+10=8 ; 2x=-2 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 939+512 | d2:9+2+0=11→w1,c1 ; d1:3+1+1=5→w5,c0 ; d0:9+5+0=14→w4,c1 ; sum=1451 |
multidigit_addition | multidigit_addition:left-to-right-partials | 182+450 | p100:100+400=500 ; p10:80+50=130 ; p1:2+0=2 ; sum=500+130+2=632 |
base_conversion | base_conversion:via-binary | n=165,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10100101 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 536+159 | p100:500+100=600 ; p10:30+50=80 ; p1:6+9=15 ; sum=600+80+15=695 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(3,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(3,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+40=0 | 5x+40=0 ; 5x=-40 ; x=-8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 5, 3, 2 | [6,7,5,3,2] ; [6,5,7,3,2] ; [6,5,3,7,2] ; [6,5,3,2,7] ; [5,6,3,2,7] ; [5,3,6,2,7] ; [5,3,2,6,7] ; [3,5,2,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 254+654 | d2:4+4+0=8→w8,c0 ; d1:5+5+0=10→w0,c1 ; d0:2+6+1=9→w9,c0 ; sum=908 |
base_conversion | base_conversion:repeated-division | n=223,base=2 | DIV:223/2=111,r:1 ; DIV:111/2=55,r:1 ; DIV:55/2=27,r:1 ; 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:11011111 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 5, 8, 7, 3 | [0,5,8,7,3] ; [0,5,8,7,3] ; [0,5,7,8,3] ; [0,3,5,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 486+153 | d2:6+3+0=9→w9,c0 ; d1:8+5+0=13→w3,c1 ; d0:4+1+1=6→w6,c0 ; sum=639 |
multidigit_addition | multidigit_addition:right-to-left-carry | 114+130 | d2:4+0+0=4→w4,c0 ; d1:1+3+0=4→w4,c0 ; d0:1+1+0=2→w2,c0 ; sum=244 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 3, 9, 5, 4 | [3,7,9,5,4] ; [3,7,9,5,4] ; [3,5,7,9,4] ; [3,4,5,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=16 | 8x+64=16 ; 8x=-48 ; x=-6 |
list_summation | list_summation:right-to-left | 3, 0, 1, 7 | 1+7=8 ; 0+8=8 ; 3+8=11 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 6, 0, 8, 1 | [0,6,9,8,1] ; [0,1,9,8,6] ; [0,1,6,8,9] ; [0,1,6,8,9] |
base_conversion | base_conversion:repeated-division | n=195,base=2 | DIV:195/2=97,r:1 ; DIV:97/2=48,r:1 ; 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:11000011 |
list_summation | list_summation:left-to-right | 8, 9, 2, 2 | 8+9=17 ; 17+2=19 ; 19+2=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+10=55 | 5x+10=55 ; x+2=11 ; x=11-2 ; x=9 |
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:subtract-then-divide | 6x-36=12 | 6x-36=12 ; 6x=48 ; x=8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-28=8 | 4x-28=8 ; x+-7=2 ; x=2--7 ; x=9 |
base_conversion | base_conversion:decomposition | n=58,base=4 | TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:322 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 2, 8, 4, 1 | [2,9,8,4,1] ; [2,8,9,4,1] ; [2,4,8,9,1] ; [1,2,4,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:repeated-division | n=98,base=16 | DIV:98/16=6,r:2 ; DIV:6/16=0,r:6 ; OUT:62 |
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) |
base_conversion | base_conversion:via-binary | n=168,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2220 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 3, 2, 8 | [1,7,3,2,8] ; [1,7,2,3,8] ; [1,2,3,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(2,5) | D:(1,4) ; D:(2,4) ; R:(2,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 3, 4, 5, 1 | 3+4=7 ; 7+5=12 ; 12+1=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 181+910 | p100:100+900=1000 ; p10:80+10=90 ; p1:1+0=1 ; sum=1000+90+1=1091 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=-54 | 6x-30=-54 ; x+-5=-9 ; x=-9--5 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 203+921 | round:210+921=1131 ; adjust:1131-7=1124 ; sum=1124 |
base_conversion | base_conversion:repeated-division | n=62,base=8 | DIV:62/8=7,r:6 ; DIV:7/8=0,r:7 ; OUT:76 |
list_summation | list_summation:pairwise | 0, 5, 9, 2 | 0+5=5 ; 9+2=11 ; 5+11=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 6, 9, 8, 4 | [5,6,8,9,4] ; [4,5,6,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+14=56 | 7x+14=56 ; 7x=42 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+49=112 | 7x+49=112 ; x+7=16 ; x=16-7 ; x=9 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 6, 7, 4, 1 | [3,6,7,4,1] ; [3,6,7,4,1] ; [3,4,6,7,1] ; [1,3,4,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(4,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 590+518 | p100:500+500=1000 ; p10:90+10=100 ; p1:0+8=8 ; sum=1000+100+8=1108 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; D:(5,2) ; R:(5,3) |
list_summation | list_summation:pairwise | 1, 2, 9, 1 | 1+2=3 ; 9+1=10 ; 3+10=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 923+233 | p100:900+200=1100 ; p10:20+30=50 ; p1:3+3=6 ; sum=1100+50+6=1156 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:pairwise | 6, 2, 1, 4 | 6+2=8 ; 1+4=5 ; 8+5=13 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 6, 8, 4 | [0,3,6,8,4] ; [0,3,4,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 403+565 | round:410+565=975 ; adjust:975-7=968 ; sum=968 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=-6 | 2x+2=-6 ; 2x=-8 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=4 | 2x-12=4 ; x+-6=2 ; x=2--6 ; x=8 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 2, 7, 9, 6 | [5,9,7,2,6] ; [9,5,7,2,6] ; [9,6,7,2,5] ; [5,6,7,2,9] ; [7,6,5,2,9] ; [2,6,5,7,9] ; [6,2,5,7,9] ; [5,2,6,7,9] ; [2,5,6,7,9] |
list_summation | list_summation:left-to-right | 6, 0, 7, 3 | 6+0=6 ; 6+7=13 ; 13+3=16 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 6, 0, 1, 4 | [4,6,0,1,9] ; [6,4,0,1,9] ; [1,4,0,6,9] ; [4,1,0,6,9] ; [0,1,4,6,9] ; [1,0,4,6,9] ; [0,1,4,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 388+316 | round:390+316=706 ; adjust:706-2=704 ; sum=704 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 1, 3, 6, 2 | [1,8,3,6,2] ; [1,2,3,6,8] ; [1,2,3,6,8] ; [1,2,3,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,1) | R:(2,1) ; D:(3,1) ; D:(4,1) |
multidigit_addition | multidigit_addition:right-to-left-carry | 641+578 | d2:1+8+0=9→w9,c0 ; d1:4+7+0=11→w1,c1 ; d0:6+5+1=12→w2,c1 ; sum=1219 |
base_conversion | base_conversion:repeated-division | n=131,base=2 | DIV:131/2=65,r:1 ; DIV:65/2=32,r:1 ; DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; 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:10000011 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-14=-21 | 7x-14=-21 ; 7x=-7 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:via-binary | n=176,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:2300 |
list_summation | list_summation:right-to-left | 9, 1, 3, 4 | 3+4=7 ; 1+7=8 ; 9+8=17 |
list_summation | list_summation:right-to-left | 6, 7, 9, 5 | 9+5=14 ; 7+14=21 ; 6+21=27 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+4=-2 | 2x+4=-2 ; 2x=-6 ; x=-3 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 7, 0, 2, 1 | [7,3,0,2,1] ; [1,3,0,2,7] ; [3,1,0,2,7] ; [3,2,0,1,7] ; [1,2,0,3,7] ; [2,1,0,3,7] ; [0,1,2,3,7] ; [1,0,2,3,7] ; [0,1,2,3,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 436+827 | p100:400+800=1200 ; p10:30+20=50 ; p1:6+7=13 ; sum=1200+50+13=1263 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=-3 | 3x+24=-3 ; x+8=-1 ; x=-1-8 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 363+141 | d2:3+1+0=4→w4,c0 ; d1:6+4+0=10→w0,c1 ; d0:3+1+1=5→w5,c0 ; sum=504 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=10 | 5x-5=10 ; x+-1=2 ; x=2--1 ; x=3 |
list_summation | list_summation:right-to-left | 6, 8, 1, 2 | 1+2=3 ; 8+3=11 ; 6+11=17 |
list_summation | list_summation:pairwise | 6, 0, 5, 6 | 6+0=6 ; 5+6=11 ; 6+11=17 |
base_conversion | base_conversion:via-binary | n=105,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:9 ; OUT:69 |
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) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 1, 9, 3, 4 | [5,4,9,3,1] ; [9,4,5,3,1] ; [1,4,5,3,9] ; [5,4,1,3,9] ; [3,4,1,5,9] ; [4,3,1,5,9] ; [1,3,4,5,9] ; [3,1,4,5,9] ; [1,3,4,5,9] |
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