task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 659+893 | round:660+893=1553 ; adjust:1553-1=1552 ; sum=1552 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,3) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(5,3) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
list_summation | list_summation:left-to-right | 2, 6, 6, 3 | 2+6=8 ; 8+6=14 ; 14+3=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 560+892 | p100:500+800=1300 ; p10:60+90=150 ; p1:0+2=2 ; sum=1300+150+2=1452 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 9, 2, 4, 1 | [1,9,2,4,3] ; [1,2,9,4,3] ; [1,2,3,4,9] ; [1,2,3,4,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=-50 | 5x-15=-50 ; x+-3=-10 ; x=-10--3 ; x=-7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 2, 7, 4 | [5,9,2,7,4] ; [2,5,9,7,4] ; [2,5,7,9,4] ; [2,4,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+56=0 | 7x+56=0 ; x+8=0 ; x=0-8 ; x=-8 |
base_conversion | base_conversion:decomposition | n=225,base=16 | TERM:14*16^1=224 ; TERM:1*16^0=1 ; OUT:E1 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 6, 1, 9, 2 | [5,9,1,6,2] ; [9,5,1,6,2] ; [9,6,1,5,2] ; [2,6,1,5,9] ; [6,2,1,5,9] ; [6,5,1,2,9] ; [2,5,1,6,9] ; [5,2,1,6,9] ; [1,2,5,6,9] ; [2,1,5,6,9] ; [1,2,5,6,9] |
list_summation | list_summation:right-to-left | 5, 1, 7, 0 | 7+0=7 ; 1+7=8 ; 5+8=13 |
base_conversion | base_conversion:decomposition | n=248,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:3320 |
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) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 5, 8, 2, 0 | [5,6,8,2,0] ; [5,6,2,8,0] ; [2,5,6,8,0] ; [0,2,5,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-6=-2 | 2x-6=-2 ; x+-3=-1 ; x=-1--3 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 3, 4, 0, 8 | 0+8=8 ; 4+8=12 ; 3+12=15 |
base_conversion | base_conversion:repeated-division | n=16,base=4 | DIV:16/4=4,r:0 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:100 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(2,2) | D:(2,0) ; R:(2,1) ; R:(2,2) |
base_conversion | base_conversion:repeated-division | n=241,base=8 | DIV:241/8=30,r:1 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:361 |
list_summation | list_summation:left-to-right | 1, 8, 2, 5 | 1+8=9 ; 9+2=11 ; 11+5=16 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 5, 2, 7, 9 | [0,2,5,7,9] |
list_summation | list_summation:pairwise | 3, 1, 3, 0 | 3+1=4 ; 3+0=3 ; 4+3=7 |
list_summation | list_summation:right-to-left | 8, 8, 5, 2 | 5+2=7 ; 8+7=15 ; 8+15=23 |
list_summation | list_summation:right-to-left | 2, 5, 8, 8 | 8+8=16 ; 5+16=21 ; 2+21=23 |
multidigit_addition | multidigit_addition:rounding-decomposition | 833+801 | round:840+801=1641 ; adjust:1641-7=1634 ; sum=1634 |
list_summation | list_summation:pairwise | 0, 7, 4, 5 | 0+7=7 ; 4+5=9 ; 7+9=16 |
base_conversion | base_conversion:decomposition | n=155,base=16 | TERM:9*16^1=144 ; TERM:11*16^0=11 ; OUT:9B |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 3, 1, 4 | [2,3,6,1,4] ; [2,3,1,6,4] ; [2,3,1,4,6] ; [2,1,3,4,6] ; [1,2,3,4,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 736+688 | round:740+688=1428 ; adjust:1428-4=1424 ; sum=1424 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-12=-27 | 3x-12=-27 ; 3x=-15 ; x=-5 |
base_conversion | base_conversion:repeated-division | n=71,base=16 | DIV:71/16=4,r:7 ; DIV:4/16=0,r:4 ; OUT:47 |
base_conversion | base_conversion:decomposition | n=245,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3311 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+42=84 | 6x+42=84 ; x=(84-42)/6 ; x=42/6 ; x=7 |
list_summation | list_summation:right-to-left | 0, 9, 3, 5 | 3+5=8 ; 9+8=17 ; 0+17=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 697+760 | d2:7+0+0=7→w7,c0 ; d1:9+6+0=15→w5,c1 ; d0:6+7+1=14→w4,c1 ; sum=1457 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,2) | R:(2,2) ; D:(3,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,4) | R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
base_conversion | base_conversion:decomposition | n=225,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:1*2^0=1 ; OUT:11100001 |
base_conversion | base_conversion:decomposition | n=227,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:3203 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-12=-36 | 4x-12=-36 ; 4x=-24 ; x=-6 |
list_summation | list_summation:right-to-left | 8, 8, 0, 8 | 0+8=8 ; 8+8=16 ; 8+16=24 |
list_summation | list_summation:pairwise | 7, 1, 3, 6 | 7+1=8 ; 3+6=9 ; 8+9=17 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 339+676 | d2:9+6+0=15→w5,c1 ; d1:3+7+1=11→w1,c1 ; d0:3+6+1=10→w0,c1 ; sum=1015 |
list_summation | list_summation:pairwise | 8, 1, 6, 4 | 8+1=9 ; 6+4=10 ; 9+10=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+36=-6 | 6x+36=-6 ; x+6=-1 ; x=-1-6 ; x=-7 |
base_conversion | base_conversion:via-binary | n=216,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:3120 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 9, 8, 0, 2 | [6,9,0,8,2] ; [0,6,8,9,2] ; [0,2,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 4, 2, 8 | [3,8,4,2,5] ; [8,3,4,2,5] ; [8,5,4,2,3] ; [3,5,4,2,8] ; [5,3,4,2,8] ; [2,3,4,5,8] ; [4,3,2,5,8] ; [2,3,4,5,8] ; [3,2,4,5,8] ; [2,3,4,5,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-24=-6 | 3x-24=-6 ; x=(-6--24)/3 ; x=18/3 ; x=6 |
base_conversion | base_conversion:repeated-division | n=136,base=16 | DIV:136/16=8,r:8 ; DIV:8/16=0,r:8 ; OUT:88 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 4, 9, 8 | [1,7,4,9,8] ; [1,4,7,9,8] ; [1,4,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 975+829 | d2:5+9+0=14→w4,c1 ; d1:7+2+1=10→w0,c1 ; d0:9+8+1=18→w8,c1 ; sum=1804 |
multidigit_addition | multidigit_addition:rounding-decomposition | 742+575 | round:750+575=1325 ; adjust:1325-8=1317 ; sum=1317 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(5,2) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 0, 5, 2, 6 | [0,3,5,2,6] ; [0,3,5,2,6] ; [0,2,3,5,6] ; [0,2,3,5,6] |
list_summation | list_summation:right-to-left | 9, 2, 3, 2 | 3+2=5 ; 2+5=7 ; 9+7=16 |
list_summation | list_summation:pairwise | 1, 0, 4, 3 | 1+0=1 ; 4+3=7 ; 1+7=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(3,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=30 | 5x+5=30 ; x=(30-5)/5 ; x=25/5 ; x=5 |
list_summation | list_summation:right-to-left | 3, 7, 1, 8 | 1+8=9 ; 7+9=16 ; 3+16=19 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 6, 3, 1, 7 | [1,6,3,9,7] ; [1,3,6,9,7] ; [1,3,6,9,7] ; [1,3,6,7,9] |
base_conversion | base_conversion:via-binary | n=111,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:7 ; OUT:157 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 8, 4, 7, 9 | [4,8,6,7,9] ; [4,6,8,7,9] ; [4,6,7,8,9] ; [4,6,7,8,9] |
list_summation | list_summation:right-to-left | 0, 4, 6, 6 | 6+6=12 ; 4+12=16 ; 0+16=16 |
list_summation | list_summation:pairwise | 5, 6, 4, 7 | 5+6=11 ; 4+7=11 ; 11+11=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-35=-20 | 5x-35=-20 ; 5x=15 ; x=3 |
base_conversion | base_conversion:repeated-division | n=238,base=8 | DIV:238/8=29,r:6 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:356 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,3) | D:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+54=9 | 9x+54=9 ; x+6=1 ; x=1-6 ; x=-5 |
list_summation | list_summation:left-to-right | 7, 0, 8, 4 | 7+0=7 ; 7+8=15 ; 15+4=19 |
base_conversion | base_conversion:repeated-division | n=115,base=2 | DIV:115/2=57,r:1 ; DIV:57/2=28,r:1 ; DIV:28/2=14,r:0 ; 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:1110011 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=28 | 4x+4=28 ; x+1=7 ; x=7-1 ; x=6 |
base_conversion | base_conversion:repeated-division | n=160,base=4 | DIV:160/4=40,r:0 ; DIV:40/4=10,r:0 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2200 |
base_conversion | base_conversion:repeated-division | n=44,base=2 | DIV:44/2=22,r:0 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:101100 |
base_conversion | base_conversion:decomposition | n=245,base=16 | TERM:15*16^1=240 ; TERM:5*16^0=5 ; OUT:F5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+14=56 | 7x+14=56 ; 7x=42 ; x=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 5, 8, 9, 0 | [0,5,8,9,3] ; [0,3,8,9,5] ; [0,3,5,9,8] ; [0,3,5,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 320+122 | d2:0+2+0=2→w2,c0 ; d1:2+2+0=4→w4,c0 ; d0:3+1+0=4→w4,c0 ; sum=442 |
multidigit_addition | multidigit_addition:rounding-decomposition | 901+562 | round:910+562=1472 ; adjust:1472-9=1463 ; sum=1463 |
list_summation | list_summation:pairwise | 6, 5, 1, 3 | 6+5=11 ; 1+3=4 ; 11+4=15 |
base_conversion | base_conversion:decomposition | n=101,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:1211 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
list_summation | list_summation:pairwise | 0, 6, 7, 9 | 0+6=6 ; 7+9=16 ; 6+16=22 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 0, 1, 7, 6 | [4,7,1,0,6] ; [7,4,1,0,6] ; [7,6,1,0,4] ; [4,6,1,0,7] ; [6,4,1,0,7] ; [0,4,1,6,7] ; [4,0,1,6,7] ; [1,0,4,6,7] ; [0,1,4,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,4) | D:(3,2) ; R:(3,3) ; R:(3,4) |
base_conversion | base_conversion:via-binary | n=141,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10001101 |
multidigit_addition | multidigit_addition:rounding-decomposition | 799+650 | round:800+650=1450 ; adjust:1450-1=1449 ; sum=1449 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-36 | 3x-24=-36 ; x+-8=-12 ; x=-12--8 ; x=-4 |
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