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:divide-then-subtract | 5x+40=50 | 5x+40=50 ; x+8=10 ; x=10-8 ; x=2 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 2, 4, 5, 9 | [7,9,4,5,2] ; [9,7,4,5,2] ; [2,7,4,5,9] ; [7,2,4,5,9] ; [7,5,4,2,9] ; [2,5,4,7,9] ; [5,2,4,7,9] ; [4,2,5,7,9] ; [2,4,5,7,9] |
list_summation | list_summation:right-to-left | 3, 3, 4, 6 | 4+6=10 ; 3+10=13 ; 3+13=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 3, 9, 5 | [3,6,7,9,5] ; [3,5,6,7,9] |
list_summation | list_summation:left-to-right | 7, 8, 3, 2 | 7+8=15 ; 15+3=18 ; 18+2=20 |
list_summation | list_summation:pairwise | 4, 4, 5, 3 | 4+4=8 ; 5+3=8 ; 8+8=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 496+166 | p100:400+100=500 ; p10:90+60=150 ; p1:6+6=12 ; sum=500+150+12=662 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=-3 | 3x-15=-3 ; 3x=12 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 510+829 | d2:0+9+0=9→w9,c0 ; d1:1+2+0=3→w3,c0 ; d0:5+8+0=13→w3,c1 ; sum=1339 |
base_conversion | base_conversion:repeated-division | n=2,base=4 | DIV:2/4=0,r:2 ; OUT:2 |
base_conversion | base_conversion:via-binary | n=223,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:15 ; OUT:DF |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(3,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-48=-12 | 6x-48=-12 ; x+-8=-2 ; x=-2--8 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 487+334 | p100:400+300=700 ; p10:80+30=110 ; p1:7+4=11 ; sum=700+110+11=821 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(2,2) | D:(2,1) ; R:(2,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=48 | 4x+16=48 ; 4x=32 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 116+971 | d2:6+1+0=7→w7,c0 ; d1:1+7+0=8→w8,c0 ; d0:1+9+0=10→w0,c1 ; sum=1087 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 2, 7, 9 | [1,6,2,7,9] ; [1,2,6,7,9] ; [1,2,6,7,9] ; [1,2,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-72=-64 | 8x-72=-64 ; x+-9=-8 ; x=-8--9 ; x=1 |
base_conversion | base_conversion:repeated-division | n=175,base=8 | DIV:175/8=21,r:7 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:257 |
base_conversion | base_conversion:repeated-division | n=76,base=16 | DIV:76/16=4,r:12 ; DIV:4/16=0,r:4 ; OUT:4C |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=189,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:5*8^0=5 ; OUT:275 |
multidigit_addition | multidigit_addition:rounding-decomposition | 769+157 | round:770+157=927 ; adjust:927-1=926 ; sum=926 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 0, 2, 8 | [0,2,6,7,8] |
list_summation | list_summation:pairwise | 2, 2, 9, 0 | 2+2=4 ; 9+0=9 ; 4+9=13 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=-8 | 8x+8=-8 ; 8x=-16 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 567+187 | d2:7+7+0=14→w4,c1 ; d1:6+8+1=15→w5,c1 ; d0:5+1+1=7→w7,c0 ; sum=754 |
multidigit_addition | multidigit_addition:right-to-left-carry | 234+896 | d2:4+6+0=10→w0,c1 ; d1:3+9+1=13→w3,c1 ; d0:2+8+1=11→w1,c1 ; sum=1130 |
list_summation | list_summation:right-to-left | 8, 2, 8, 2 | 8+2=10 ; 2+10=12 ; 8+12=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 3, 7, 9 | [3,4,5,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 586+219 | round:590+219=809 ; adjust:809-4=805 ; sum=805 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 8, 4, 1 | [0,3,8,4,1] ; [0,3,4,8,1] ; [0,1,3,4,8] |
list_summation | list_summation:pairwise | 1, 9, 8, 9 | 1+9=10 ; 8+9=17 ; 10+17=27 |
base_conversion | base_conversion:decomposition | n=132,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:2010 |
list_summation | list_summation:pairwise | 5, 1, 1, 2 | 5+1=6 ; 1+2=3 ; 6+3=9 |
base_conversion | base_conversion:decomposition | n=212,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:3110 |
base_conversion | base_conversion:decomposition | n=99,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:1203 |
multidigit_addition | multidigit_addition:rounding-decomposition | 382+641 | round:390+641=1031 ; adjust:1031-8=1023 ; sum=1023 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=-60 | 6x-30=-60 ; x+-5=-10 ; x=-10--5 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 2, 7, 1, 3 | [2,9,7,1,3] ; [2,7,9,1,3] ; [2,7,1,9,3] ; [2,7,1,3,9] ; [2,1,7,3,9] ; [2,1,3,7,9] ; [1,2,3,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 598+972 | d2:8+2+0=10→w0,c1 ; d1:9+7+1=17→w7,c1 ; d0:5+9+1=15→w5,c1 ; sum=1570 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 8, 2, 5 | [0,9,8,2,5] ; [0,8,9,2,5] ; [0,8,2,9,5] ; [0,8,2,5,9] ; [0,2,8,5,9] ; [0,2,5,8,9] |
base_conversion | base_conversion:repeated-division | n=188,base=16 | DIV:188/16=11,r:12 ; DIV:11/16=0,r:11 ; OUT:BC |
multidigit_addition | multidigit_addition:right-to-left-carry | 295+419 | d2:5+9+0=14→w4,c1 ; d1:9+1+1=11→w1,c1 ; d0:2+4+1=7→w7,c0 ; sum=714 |
base_conversion | base_conversion:decomposition | n=141,base=8 | TERM:2*8^2=128 ; TERM:1*8^1=8 ; TERM:5*8^0=5 ; OUT:215 |
base_conversion | base_conversion:repeated-division | n=106,base=4 | DIV:106/4=26,r:2 ; DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1222 |
multidigit_addition | multidigit_addition:left-to-right-partials | 926+551 | p100:900+500=1400 ; p10:20+50=70 ; p1:6+1=7 ; sum=1400+70+7=1477 |
list_summation | list_summation:right-to-left | 4, 5, 0, 6 | 0+6=6 ; 5+6=11 ; 4+11=15 |
list_summation | list_summation:left-to-right | 6, 1, 6, 3 | 6+1=7 ; 7+6=13 ; 13+3=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+21=63 | 7x+21=63 ; x+3=9 ; x=9-3 ; x=6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 1, 3, 7, 0 | [1,8,3,7,0] ; [1,3,7,8,0] ; [0,1,3,7,8] |
base_conversion | base_conversion:decomposition | n=217,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:1*8^0=1 ; OUT:331 |
list_summation | list_summation:pairwise | 5, 7, 8, 8 | 5+7=12 ; 8+8=16 ; 12+16=28 |
list_summation | list_summation:right-to-left | 1, 9, 3, 9 | 3+9=12 ; 9+12=21 ; 1+21=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 689+116 | round:690+116=806 ; adjust:806-1=805 ; sum=805 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=5 | 5x+10=5 ; x=(5-10)/5 ; x=-5/5 ; x=-1 |
list_summation | list_summation:pairwise | 6, 4, 7, 0 | 6+4=10 ; 7+0=7 ; 10+7=17 |
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) |
list_summation | list_summation:left-to-right | 1, 6, 4, 8 | 1+6=7 ; 7+4=11 ; 11+8=19 |
list_summation | list_summation:left-to-right | 5, 4, 5, 9 | 5+4=9 ; 9+5=14 ; 14+9=23 |
list_summation | list_summation:right-to-left | 9, 8, 5, 1 | 5+1=6 ; 8+6=14 ; 9+14=23 |
base_conversion | base_conversion:repeated-division | n=186,base=4 | DIV:186/4=46,r:2 ; DIV:46/4=11,r:2 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2322 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-36=-20 | 4x-36=-20 ; x=(-20--36)/4 ; x=16/4 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 512+906 | p100:500+900=1400 ; p10:10+0=10 ; p1:2+6=8 ; sum=1400+10+8=1418 |
list_summation | list_summation:right-to-left | 4, 1, 7, 7 | 7+7=14 ; 1+14=15 ; 4+15=19 |
list_summation | list_summation:pairwise | 9, 2, 7, 6 | 9+2=11 ; 7+6=13 ; 11+13=24 |
list_summation | list_summation:right-to-left | 1, 4, 8, 3 | 8+3=11 ; 4+11=15 ; 1+15=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 815+603 | p100:800+600=1400 ; p10:10+0=10 ; p1:5+3=8 ; sum=1400+10+8=1418 |
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) |
list_summation | list_summation:right-to-left | 0, 4, 6, 4 | 6+4=10 ; 4+10=14 ; 0+14=14 |
base_conversion | base_conversion:decomposition | n=250,base=8 | TERM:3*8^2=192 ; TERM:7*8^1=56 ; TERM:2*8^0=2 ; OUT:372 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 3, 8, 6, 4 | [1,3,8,6,4] ; [1,3,8,6,4] ; [1,3,6,8,4] ; [1,3,4,6,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 2, 7, 1, 6 | [2,5,7,1,6] ; [2,5,1,7,6] ; [2,5,1,6,7] ; [2,1,5,6,7] ; [1,2,5,6,7] |
list_summation | list_summation:right-to-left | 5, 7, 0, 0 | 0+0=0 ; 7+0=7 ; 5+7=12 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 9, 1, 5, 3 | [1,5,7,9,3] ; [1,3,5,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,4) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+15=20 | 5x+15=20 ; x+3=4 ; x=4-3 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 464+459 | d2:4+9+0=13→w3,c1 ; d1:6+5+1=12→w2,c1 ; d0:4+4+1=9→w9,c0 ; sum=923 |
base_conversion | base_conversion:repeated-division | n=253,base=2 | DIV:253/2=126,r:1 ; DIV:126/2=63,r:0 ; DIV:63/2=31,r:1 ; 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:11111101 |
multidigit_addition | multidigit_addition:rounding-decomposition | 786+150 | round:790+150=940 ; adjust:940-4=936 ; sum=936 |
multidigit_addition | multidigit_addition:rounding-decomposition | 584+519 | round:590+519=1109 ; adjust:1109-6=1103 ; sum=1103 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 3, 2, 9, 6 | [3,4,2,9,6] ; [3,2,4,9,6] ; [3,2,4,6,9] ; [2,3,4,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=-8 | 4x+8=-8 ; x+2=-2 ; x=-2-2 ; x=-4 |
base_conversion | base_conversion:via-binary | n=29,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:5 ; OUT:35 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 5, 6, 4, 9 | [1,5,4,6,9] ; [1,4,5,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 720+750 | p100:700+700=1400 ; p10:20+50=70 ; p1:0+0=0 ; sum=1400+70+0=1470 |
multidigit_addition | multidigit_addition:rounding-decomposition | 428+544 | round:430+544=974 ; adjust:974-2=972 ; sum=972 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 9, 7, 2, 3 | [1,9,7,2,3] ; [1,7,9,2,3] ; [1,2,7,9,3] ; [1,2,3,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 264+161 | round:270+161=431 ; adjust:431-6=425 ; sum=425 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 3, 1, 6, 9 | [2,3,1,6,9] ; [1,2,3,6,9] ; [1,2,3,6,9] ; [1,2,3,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
base_conversion | base_conversion:decomposition | n=24,base=8 | TERM:3*8^1=24 ; TERM:0*8^0=0 ; OUT:30 |
base_conversion | base_conversion:decomposition | n=82,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:1102 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+72=126 | 9x+72=126 ; 9x=54 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 931+862 | d2:1+2+0=3→w3,c0 ; d1:3+6+0=9→w9,c0 ; d0:9+8+0=17→w7,c1 ; sum=1793 |
list_summation | list_summation:left-to-right | 9, 1, 2, 8 | 9+1=10 ; 10+2=12 ; 12+8=20 |
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