task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:right-to-left | 6, 7, 6, 6 | 6+6=12 ; 7+12=19 ; 6+19=25 |
list_summation | list_summation:right-to-left | 0, 7, 4, 8 | 4+8=12 ; 7+12=19 ; 0+19=19 |
base_conversion | base_conversion:decomposition | n=32,base=4 | TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:200 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=96 | 6x+48=96 ; x+8=16 ; x=16-8 ; x=8 |
base_conversion | base_conversion:repeated-division | n=130,base=8 | DIV:130/8=16,r:2 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:202 |
multidigit_addition | multidigit_addition:right-to-left-carry | 693+754 | d2:3+4+0=7→w7,c0 ; d1:9+5+0=14→w4,c1 ; d0:6+7+1=14→w4,c1 ; sum=1447 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,1) | D:(4,0) ; D:(5,0) ; R:(5,1) |
multidigit_addition | multidigit_addition:rounding-decomposition | 813+570 | round:820+570=1390 ; adjust:1390-7=1383 ; sum=1383 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 6, 3, 0 | [0,2,6,3,5] ; [0,2,6,3,5] ; [0,2,3,6,5] ; [0,2,3,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 983+170 | round:990+170=1160 ; adjust:1160-7=1153 ; sum=1153 |
base_conversion | base_conversion:repeated-division | n=207,base=2 | DIV:207/2=103,r:1 ; DIV:103/2=51,r:1 ; DIV:51/2=25,r:1 ; DIV:25/2=12,r:1 ; 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:11001111 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+49=28 | 7x+49=28 ; 7x=-21 ; x=-3 |
base_conversion | base_conversion:decomposition | n=109,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:1231 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=-54 | 9x+9=-54 ; x=(-54-9)/9 ; x=-63/9 ; x=-7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+24=40 | 8x+24=40 ; x+3=5 ; x=5-3 ; x=2 |
list_summation | list_summation:right-to-left | 6, 4, 3, 0 | 3+0=3 ; 4+3=7 ; 6+7=13 |
base_conversion | base_conversion:repeated-division | n=63,base=4 | DIV:63/4=15,r:3 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:333 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+3=-15 | 3x+3=-15 ; x+1=-5 ; x=-5-1 ; x=-6 |
base_conversion | base_conversion:decomposition | n=119,base=16 | TERM:7*16^1=112 ; TERM:7*16^0=7 ; OUT:77 |
multidigit_addition | multidigit_addition:rounding-decomposition | 455+718 | round:460+718=1178 ; adjust:1178-5=1173 ; sum=1173 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 4, 3, 6, 8 | [0,4,3,6,8] ; [0,3,4,6,8] ; [0,3,4,6,8] ; [0,3,4,6,8] |
list_summation | list_summation:left-to-right | 3, 6, 2, 1 | 3+6=9 ; 9+2=11 ; 11+1=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 345+170 | p100:300+100=400 ; p10:40+70=110 ; p1:5+0=5 ; sum=400+110+5=515 |
base_conversion | base_conversion:repeated-division | n=199,base=8 | DIV:199/8=24,r:7 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:307 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+48=18 | 6x+48=18 ; x=(18-48)/6 ; x=-30/6 ; x=-5 |
list_summation | list_summation:right-to-left | 5, 5, 0, 4 | 0+4=4 ; 5+4=9 ; 5+9=14 |
list_summation | list_summation:pairwise | 1, 1, 3, 3 | 1+1=2 ; 3+3=6 ; 2+6=8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 4, 5, 0 | [1,3,4,5,0] ; [1,3,4,0,5] ; [1,3,0,4,5] ; [1,0,3,4,5] ; [0,1,3,4,5] |
base_conversion | base_conversion:repeated-division | n=180,base=8 | DIV:180/8=22,r:4 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:264 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 3, 7, 9, 8 | [2,3,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-16=12 | 4x-16=12 ; 4x=28 ; x=7 |
list_summation | list_summation:left-to-right | 0, 9, 6, 3 | 0+9=9 ; 9+6=15 ; 15+3=18 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 235+574 | round:240+574=814 ; adjust:814-5=809 ; sum=809 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-108 | 6x-54=-108 ; x=(-108--54)/6 ; x=-54/6 ; x=-9 |
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) |
base_conversion | base_conversion:decomposition | n=26,base=4 | TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:122 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-32=24 | 8x-32=24 ; 8x=56 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 243+876 | d2:3+6+0=9→w9,c0 ; d1:4+7+0=11→w1,c1 ; d0:2+8+1=11→w1,c1 ; sum=1119 |
multidigit_addition | multidigit_addition:right-to-left-carry | 526+683 | d2:6+3+0=9→w9,c0 ; d1:2+8+0=10→w0,c1 ; d0:5+6+1=12→w2,c1 ; sum=1209 |
list_summation | list_summation:right-to-left | 6, 5, 3, 6 | 3+6=9 ; 5+9=14 ; 6+14=20 |
base_conversion | base_conversion:via-binary | n=10,base=2 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:1010 |
list_summation | list_summation:left-to-right | 8, 3, 9, 0 | 8+3=11 ; 11+9=20 ; 20+0=20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-20=-15 | 5x-20=-15 ; x+-4=-3 ; x=-3--4 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+3=18 | 3x+3=18 ; x=(18-3)/3 ; x=15/3 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-6=3 | 3x-6=3 ; x=(3--6)/3 ; x=9/3 ; x=3 |
list_summation | list_summation:right-to-left | 6, 3, 7, 0 | 7+0=7 ; 3+7=10 ; 6+10=16 |
base_conversion | base_conversion:decomposition | n=224,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:0*8^0=0 ; OUT:340 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+54=108 | 6x+54=108 ; x+9=18 ; x=18-9 ; x=9 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 6, 8, 4 | [0,3,6,8,4] ; [0,3,6,8,4] ; [0,3,4,8,6] ; [0,3,4,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 932+529 | round:940+529=1469 ; adjust:1469-8=1461 ; sum=1461 |
list_summation | list_summation:pairwise | 9, 9, 7, 5 | 9+9=18 ; 7+5=12 ; 18+12=30 |
base_conversion | base_conversion:via-binary | n=67,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:3 ; OUT:43 |
base_conversion | base_conversion:repeated-division | n=13,base=8 | DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:15 |
list_summation | list_summation:left-to-right | 6, 7, 3, 6 | 6+7=13 ; 13+3=16 ; 16+6=22 |
base_conversion | base_conversion:via-binary | n=209,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:1 ; OUT:D1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 4, 3, 9, 6 | [8,9,3,4,6] ; [9,8,3,4,6] ; [6,8,3,4,9] ; [8,6,3,4,9] ; [4,6,3,8,9] ; [6,4,3,8,9] ; [3,4,6,8,9] ; [4,3,6,8,9] ; [3,4,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 2, 6, 7, 0 | [1,2,6,7,0] ; [1,2,6,7,0] ; [1,2,6,7,0] ; [0,1,2,6,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 9, 8, 3, 2 | [2,9,8,3,5] ; [2,3,8,9,5] ; [2,3,5,9,8] ; [2,3,5,8,9] |
list_summation | list_summation:right-to-left | 0, 9, 9, 8 | 9+8=17 ; 9+17=26 ; 0+26=26 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=197,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3011 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 0, 4, 2, 1 | [0,9,4,2,1] ; [0,9,2,4,1] ; [0,2,4,9,1] ; [0,1,2,4,9] |
list_summation | list_summation:right-to-left | 9, 5, 7, 5 | 7+5=12 ; 5+12=17 ; 9+17=26 |
multidigit_addition | multidigit_addition:rounding-decomposition | 629+741 | round:630+741=1371 ; adjust:1371-1=1370 ; sum=1370 |
multidigit_addition | multidigit_addition:rounding-decomposition | 565+295 | round:570+295=865 ; adjust:865-5=860 ; sum=860 |
multidigit_addition | multidigit_addition:left-to-right-partials | 746+949 | p100:700+900=1600 ; p10:40+40=80 ; p1:6+9=15 ; sum=1600+80+15=1695 |
base_conversion | base_conversion:decomposition | n=17,base=16 | TERM:1*16^1=16 ; TERM:1*16^0=1 ; OUT:11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 980+121 | round:980+121=1101 ; adjust:1101-0=1101 ; sum=1101 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+24=36 | 4x+24=36 ; x+6=9 ; x=9-6 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,3) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 4, 5, 9 | [6,7,4,5,9] ; [6,4,7,5,9] ; [6,4,5,7,9] ; [4,6,5,7,9] ; [4,5,6,7,9] |
list_summation | list_summation:pairwise | 8, 8, 4, 2 | 8+8=16 ; 4+2=6 ; 16+6=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=196,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:3010 |
multidigit_addition | multidigit_addition:left-to-right-partials | 501+455 | p100:500+400=900 ; p10:0+50=50 ; p1:1+5=6 ; sum=900+50+6=956 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-18=3 | 3x-18=3 ; x+-6=1 ; x=1--6 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-72=-144 | 8x-72=-144 ; x+-9=-18 ; x=-18--9 ; x=-9 |
list_summation | list_summation:right-to-left | 8, 6, 1, 6 | 1+6=7 ; 6+7=13 ; 8+13=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+42=35 | 7x+42=35 ; x=(35-42)/7 ; x=-7/7 ; x=-1 |
base_conversion | base_conversion:decomposition | n=157,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10011101 |
multidigit_addition | multidigit_addition:right-to-left-carry | 608+941 | d2:8+1+0=9→w9,c0 ; d1:0+4+0=4→w4,c0 ; d0:6+9+0=15→w5,c1 ; sum=1549 |
list_summation | list_summation:right-to-left | 0, 4, 3, 0 | 3+0=3 ; 4+3=7 ; 0+7=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+36=-9 | 9x+36=-9 ; x=(-9-36)/9 ; x=-45/9 ; x=-5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-98 | 7x-56=-98 ; x=(-98--56)/7 ; x=-42/7 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 6, 5, 0, 8 | [1,5,6,0,8] ; [1,5,0,6,8] ; [1,0,5,6,8] ; [0,1,5,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 866+287 | round:870+287=1157 ; adjust:1157-4=1153 ; sum=1153 |
base_conversion | base_conversion:repeated-division | n=248,base=4 | DIV:248/4=62,r:0 ; DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3320 |
base_conversion | base_conversion:decomposition | n=245,base=16 | TERM:15*16^1=240 ; TERM:5*16^0=5 ; OUT:F5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 9, 6, 7, 4 | [0,9,6,7,4] ; [0,6,9,7,4] ; [0,6,7,9,4] ; [0,4,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+36=54 | 9x+36=54 ; x=(54-36)/9 ; x=18/9 ; x=2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+45=81 | 9x+45=81 ; x+5=9 ; x=9-5 ; x=4 |
list_summation | list_summation:right-to-left | 2, 1, 3, 0 | 3+0=3 ; 1+3=4 ; 2+4=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-63=-45 | 9x-63=-45 ; 9x=18 ; x=2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 207+616 | d2:7+6+0=13→w3,c1 ; d1:0+1+1=2→w2,c0 ; d0:2+6+0=8→w8,c0 ; sum=823 |
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