task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:right-to-left-carry | 683+828 | d2:3+8+0=11→w1,c1 ; d1:8+2+1=11→w1,c1 ; d0:6+8+1=15→w5,c1 ; sum=1511 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 5, 1, 6, 9 | [1,5,3,6,9] ; [1,3,5,6,9] ; [1,3,5,6,9] ; [1,3,5,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 388+109 | d2:8+9+0=17→w7,c1 ; d1:8+0+1=9→w9,c0 ; d0:3+1+0=4→w4,c0 ; sum=497 |
list_summation | list_summation:right-to-left | 3, 9, 8, 9 | 8+9=17 ; 9+17=26 ; 3+26=29 |
base_conversion | base_conversion:decomposition | n=189,base=16 | TERM:11*16^1=176 ; TERM:13*16^0=13 ; OUT:BD |
multidigit_addition | multidigit_addition:left-to-right-partials | 119+450 | p100:100+400=500 ; p10:10+50=60 ; p1:9+0=9 ; sum=500+60+9=569 |
list_summation | list_summation:right-to-left | 5, 4, 2, 9 | 2+9=11 ; 4+11=15 ; 5+15=20 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 9, 2, 3, 5 | [2,3,7,9,5] ; [2,3,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-18 | 3x-24=-18 ; x+-8=-6 ; x=-6--8 ; x=2 |
base_conversion | base_conversion:repeated-division | n=88,base=16 | DIV:88/16=5,r:8 ; DIV:5/16=0,r:5 ; OUT:58 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=32 | 8x-16=32 ; 8x=48 ; x=6 |
base_conversion | base_conversion:repeated-division | n=148,base=2 | DIV:148/2=74,r:0 ; DIV:74/2=37,r:0 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
base_conversion | base_conversion:via-binary | n=197,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:5 ; OUT:305 |
base_conversion | base_conversion:decomposition | n=30,base=4 | TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:132 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=10 | 2x+8=10 ; x=(10-8)/2 ; x=2/2 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 208+340 | p100:200+300=500 ; p10:0+40=40 ; p1:8+0=8 ; sum=500+40+8=548 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 8, 7, 3, 1 | [2,7,8,3,1] ; [2,7,3,8,1] ; [2,7,3,1,8] ; [2,3,7,1,8] ; [2,3,1,7,8] ; [2,1,3,7,8] ; [1,2,3,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=185,base=2 | DIV:185/2=92,r:1 ; DIV:92/2=46,r:0 ; DIV:46/2=23,r:0 ; DIV:23/2=11,r:1 ; 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:10111001 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+45=15 | 5x+45=15 ; x=(15-45)/5 ; x=-30/5 ; x=-6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-24=-96 | 8x-24=-96 ; 8x=-72 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=132,base=4 | DIV:132/4=33,r:0 ; DIV:33/4=8,r:1 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2010 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-27 | 9x-72=-27 ; x+-8=-3 ; x=-3--8 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 968+436 | p100:900+400=1300 ; p10:60+30=90 ; p1:8+6=14 ; sum=1300+90+14=1404 |
list_summation | list_summation:right-to-left | 2, 3, 4, 4 | 4+4=8 ; 3+8=11 ; 2+11=13 |
list_summation | list_summation:pairwise | 0, 3, 3, 0 | 0+3=3 ; 3+0=3 ; 3+3=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=-90 | 9x-18=-90 ; x=(-90--18)/9 ; x=-72/9 ; x=-8 |
base_conversion | base_conversion:decomposition | n=197,base=16 | TERM:12*16^1=192 ; TERM:5*16^0=5 ; OUT:C5 |
base_conversion | base_conversion:decomposition | n=207,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11001111 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 8, 9, 4, 6 | [9,8,7,4,6] ; [6,8,7,4,9] ; [8,6,7,4,9] ; [4,6,7,8,9] ; [7,6,4,8,9] ; [4,6,7,8,9] ; [6,4,7,8,9] ; [4,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+16=-56 | 8x+16=-56 ; 8x=-72 ; x=-9 |
base_conversion | base_conversion:decomposition | n=238,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:3232 |
base_conversion | base_conversion:repeated-division | n=218,base=16 | DIV:218/16=13,r:10 ; DIV:13/16=0,r:13 ; OUT:DA |
list_summation | list_summation:pairwise | 4, 8, 0, 7 | 4+8=12 ; 0+7=7 ; 12+7=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 929+755 | d2:9+5+0=14→w4,c1 ; d1:2+5+1=8→w8,c0 ; d0:9+7+0=16→w6,c1 ; sum=1684 |
multidigit_addition | multidigit_addition:rounding-decomposition | 837+788 | round:840+788=1628 ; adjust:1628-3=1625 ; sum=1625 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+54=54 | 9x+54=54 ; 9x=0 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 167+940 | p100:100+900=1000 ; p10:60+40=100 ; p1:7+0=7 ; sum=1000+100+7=1107 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+32=40 | 8x+32=40 ; x=(40-32)/8 ; x=8/8 ; x=1 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 4, 1, 5, 0 | [4,8,1,5,0] ; [1,4,5,8,0] ; [0,1,4,5,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+28=-8 | 4x+28=-8 ; 4x=-36 ; x=-9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(3,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
list_summation | list_summation:left-to-right | 5, 2, 1, 0 | 5+2=7 ; 7+1=8 ; 8+0=8 |
base_conversion | base_conversion:via-binary | n=18,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:2 ; OUT:102 |
multidigit_addition | multidigit_addition:rounding-decomposition | 477+984 | round:480+984=1464 ; adjust:1464-3=1461 ; sum=1461 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+48=48 | 6x+48=48 ; x=(48-48)/6 ; x=0/6 ; x=0 |
list_summation | list_summation:pairwise | 8, 4, 9, 2 | 8+4=12 ; 9+2=11 ; 12+11=23 |
list_summation | list_summation:pairwise | 9, 0, 6, 0 | 9+0=9 ; 6+0=6 ; 9+6=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:left-to-right | 4, 4, 1, 2 | 4+4=8 ; 8+1=9 ; 9+2=11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(2,1) | R:(1,1) ; D:(2,1) |
multidigit_addition | multidigit_addition:right-to-left-carry | 411+166 | d2:1+6+0=7→w7,c0 ; d1:1+6+0=7→w7,c0 ; d0:4+1+0=5→w5,c0 ; sum=577 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 6, 8, 3 | [9,8,6,5,3] ; [3,8,6,5,9] ; [8,3,6,5,9] ; [8,5,6,3,9] ; [3,5,6,8,9] ; [6,5,3,8,9] ; [3,5,6,8,9] ; [5,3,6,8,9] ; [3,5,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-54=-18 | 9x-54=-18 ; x=(-18--54)/9 ; x=36/9 ; x=4 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 4, 2, 1, 9 | [1,4,2,6,9] ; [1,2,4,6,9] ; [1,2,4,6,9] ; [1,2,4,6,9] |
base_conversion | base_conversion:via-binary | n=242,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11110010 |
base_conversion | base_conversion:via-binary | n=21,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; OUT:10101 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 3, 0, 6, 9 | [3,4,0,6,9] ; [3,0,4,6,9] ; [0,3,4,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 3, 1, 2, 7 | [8,7,1,2,3] ; [3,7,1,2,8] ; [7,3,1,2,8] ; [2,3,1,7,8] ; [3,2,1,7,8] ; [1,2,3,7,8] ; [2,1,3,7,8] ; [1,2,3,7,8] |
base_conversion | base_conversion:via-binary | n=81,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:1101 |
list_summation | list_summation:left-to-right | 8, 0, 4, 1 | 8+0=8 ; 8+4=12 ; 12+1=13 |
multidigit_addition | multidigit_addition:right-to-left-carry | 938+849 | d2:8+9+0=17→w7,c1 ; d1:3+4+1=8→w8,c0 ; d0:9+8+0=17→w7,c1 ; sum=1787 |
base_conversion | base_conversion:via-binary | n=24,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; OUT:11000 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=-18 | 9x+9=-18 ; x=(-18-9)/9 ; x=-27/9 ; x=-3 |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,1) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) |
list_summation | list_summation:right-to-left | 2, 1, 7, 7 | 7+7=14 ; 1+14=15 ; 2+15=17 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=-12 | 6x+12=-12 ; x+2=-2 ; x=-2-2 ; x=-4 |
list_summation | list_summation:right-to-left | 0, 8, 7, 6 | 7+6=13 ; 8+13=21 ; 0+21=21 |
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=(0,3) ; G=(5,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-42=12 | 6x-42=12 ; x=(12--42)/6 ; x=54/6 ; x=9 |
list_summation | list_summation:left-to-right | 4, 7, 2, 8 | 4+7=11 ; 11+2=13 ; 13+8=21 |
base_conversion | base_conversion:via-binary | n=255,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11111111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 967+346 | round:970+346=1316 ; adjust:1316-3=1313 ; sum=1313 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 1, 9, 0, 5 | [0,1,9,8,5] ; [0,1,9,8,5] ; [0,1,5,8,9] ; [0,1,5,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-56=-72 | 8x-56=-72 ; x=(-72--56)/8 ; x=-16/8 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 184+409 | d2:4+9+0=13→w3,c1 ; d1:8+0+1=9→w9,c0 ; d0:1+4+0=5→w5,c0 ; sum=593 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=-12 | 2x-8=-12 ; x=(-12--8)/2 ; x=-4/2 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,4) | R:(0,3) ; R:(0,4) ; D:(1,4) |
list_summation | list_summation:pairwise | 5, 7, 4, 6 | 5+7=12 ; 4+6=10 ; 12+10=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=20 | 4x+4=20 ; x+1=5 ; x=5-1 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 707+496 | round:710+496=1206 ; adjust:1206-3=1203 ; sum=1203 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=136,base=8 | DIV:136/8=17,r:0 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:210 |
multidigit_addition | multidigit_addition:left-to-right-partials | 647+429 | p100:600+400=1000 ; p10:40+20=60 ; p1:7+9=16 ; sum=1000+60+16=1076 |
base_conversion | base_conversion:via-binary | n=61,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:5 ; OUT:75 |
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) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 9, 3, 4 | [2,5,9,3,4] ; [2,3,9,5,4] ; [2,3,4,5,9] ; [2,3,4,5,9] |
base_conversion | base_conversion:decomposition | n=174,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:2232 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; R:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,5) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:left-to-right | 7, 4, 2, 8 | 7+4=11 ; 11+2=13 ; 13+8=21 |
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