family stringclasses 1 value | question_id int64 0 2 | signal_type stringclasses 2 values | amplitude_scale float64 0.5 2.5 | frequency_cycles float64 1 16 | phase_deg float64 0 240 ⌀ | time_step int64 0 255 | p_value float64 3.5 4.5 | prompt stringlengths 59 76 | ground_truth float64 0.52 2.33 | symbolic_baseline_answer float64 0.52 2.33 |
|---|---|---|---|---|---|---|---|---|---|---|
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 20 | 3.920665 | Solve this system for x:
3.9206646659708766x + 2y = 8
1x + 3y = 9
FINAL: | 0.614629 | 0.614629 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 21 | 3.91508 | Solve this system for x:
3.915079781847342x + 2y = 8
1x + 3y = 9
FINAL: | 0.615685 | 0.615685 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 22 | 3.910313 | Solve this system for x:
3.9103127258467314x + 2y = 8
1x + 3y = 9
FINAL: | 0.61659 | 0.61659 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 23 | 3.906409 | Solve this system for x:
3.9064094073242677x + 2y = 8
1x + 3y = 9
FINAL: | 0.617333 | 0.617333 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 24 | 3.903407 | Solve this system for x:
3.9034074173710933x + 2y = 8
1x + 3y = 9
FINAL: | 0.617906 | 0.617906 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 25 | 3.901336 | Solve this system for x:
3.9013356667915122x + 2y = 8
1x + 3y = 9
FINAL: | 0.618301 | 0.618301 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 26 | 3.900214 | Solve this system for x:
3.9002141076761396x + 2y = 8
1x + 3y = 9
FINAL: | 0.618516 | 0.618516 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 27 | 3.900054 | Solve this system for x:
3.9000535412523636x + 2y = 8
1x + 3y = 9
FINAL: | 0.618546 | 0.618546 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 28 | 3.900856 | Solve this system for x:
3.900855513862619x + 2y = 8
1x + 3y = 9
FINAL: | 0.618393 | 0.618393 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 29 | 3.902612 | Solve this system for x:
3.9026123020722667x + 2y = 8
1x + 3y = 9
FINAL: | 0.618057 | 0.618057 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 30 | 3.905307 | Solve this system for x:
3.9053069870504893x + 2y = 8
1x + 3y = 9
FINAL: | 0.617543 | 0.617543 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 31 | 3.908914 | Solve this system for x:
3.9089136175078822x + 2y = 8
1x + 3y = 9
FINAL: | 0.616856 | 0.616856 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 32 | 3.913397 | Solve this system for x:
3.913397459621556x + 2y = 8
1x + 3y = 9
FINAL: | 0.616004 | 0.616004 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 33 | 3.918715 | Solve this system for x:
3.9187153315408385x + 2y = 8
1x + 3y = 9
FINAL: | 0.614997 | 0.614997 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 34 | 3.924816 | Solve this system for x:
3.9248160192521024x + 2y = 8
1x + 3y = 9
FINAL: | 0.613845 | 0.613845 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 35 | 3.931641 | Solve this system for x:
3.931640769797713x + 2y = 8
1x + 3y = 9
FINAL: | 0.612562 | 0.612562 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 36 | 3.939124 | Solve this system for x:
3.939123857099128x + 2y = 8
1x + 3y = 9
FINAL: | 0.611162 | 0.611162 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 37 | 3.947193 | Solve this system for x:
3.947193214934963x + 2y = 8
1x + 3y = 9
FINAL: | 0.609658 | 0.609658 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 38 | 3.955771 | Solve this system for x:
3.9557711309781x + 2y = 8
1x + 3y = 9
FINAL: | 0.608068 | 0.608068 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 39 | 3.964775 | Solve this system for x:
3.964774995207877x + 2y = 8
1x + 3y = 9
FINAL: | 0.606408 | 0.606408 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 40 | 3.974118 | Solve this system for x:
3.974118095489748x + 2y = 8
1x + 3y = 9
FINAL: | 0.604695 | 0.604695 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 41 | 3.98371 | Solve this system for x:
3.983710452660541x + 2y = 8
1x + 3y = 9
FINAL: | 0.602947 | 0.602947 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 42 | 3.99346 | Solve this system for x:
3.9934596870769856x + 2y = 8
1x + 3y = 9
FINAL: | 0.60118 | 0.60118 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 43 | 4.003272 | Solve this system for x:
4.003271908282177x + 2y = 8
1x + 3y = 9
FINAL: | 0.599412 | 0.599412 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 44 | 4.013053 | Solve this system for x:
4.013052619222005x + 2y = 8
1x + 3y = 9
FINAL: | 0.59766 | 0.59766 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 45 | 4.022708 | Solve this system for x:
4.022707626303437x + 2y = 8
1x + 3y = 9
FINAL: | 0.59594 | 0.59594 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 46 | 4.032144 | Solve this system for x:
4.032143946530316x + 2y = 8
1x + 3y = 9
FINAL: | 0.594269 | 0.594269 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 47 | 4.041271 | Solve this system for x:
4.041270702980439x + 2y = 8
1x + 3y = 9
FINAL: | 0.592662 | 0.592662 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 48 | 4.05 | Solve this system for x:
4.05x + 2y = 8
1x + 3y = 9
FINAL: | 0.591133 | 0.591133 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 49 | 4.058248 | Solve this system for x:
4.05824776968678x + 2y = 8
1x + 3y = 9
FINAL: | 0.589695 | 0.589695 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 50 | 4.065935 | Solve this system for x:
4.065934581510007x + 2y = 8
1x + 3y = 9
FINAL: | 0.588362 | 0.588362 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 51 | 4.072986 | Solve this system for x:
4.0729864072697834x + 2y = 8
1x + 3y = 9
FINAL: | 0.587144 | 0.587144 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 52 | 4.079335 | Solve this system for x:
4.079335334029124x + 2y = 8
1x + 3y = 9
FINAL: | 0.586052 | 0.586052 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 53 | 4.08492 | Solve this system for x:
4.084920218152658x + 2y = 8
1x + 3y = 9
FINAL: | 0.585094 | 0.585094 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 54 | 4.089687 | Solve this system for x:
4.089687274153269x + 2y = 8
1x + 3y = 9
FINAL: | 0.584279 | 0.584279 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 55 | 4.093591 | Solve this system for x:
4.093590592675732x + 2y = 8
1x + 3y = 9
FINAL: | 0.583614 | 0.583614 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 56 | 4.096593 | Solve this system for x:
4.096592582628907x + 2y = 8
1x + 3y = 9
FINAL: | 0.583103 | 0.583103 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 57 | 4.098664 | Solve this system for x:
4.098664333208488x + 2y = 8
1x + 3y = 9
FINAL: | 0.582751 | 0.582751 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 58 | 4.099786 | Solve this system for x:
4.09978589232386x + 2y = 8
1x + 3y = 9
FINAL: | 0.582561 | 0.582561 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 59 | 4.099946 | Solve this system for x:
4.099946458747636x + 2y = 8
1x + 3y = 9
FINAL: | 0.582533 | 0.582533 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 60 | 4.099144 | Solve this system for x:
4.099144486137381x + 2y = 8
1x + 3y = 9
FINAL: | 0.582669 | 0.582669 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 61 | 4.097388 | Solve this system for x:
4.097387697927734x + 2y = 8
1x + 3y = 9
FINAL: | 0.582968 | 0.582968 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 62 | 4.094693 | Solve this system for x:
4.09469301294951x + 2y = 8
1x + 3y = 9
FINAL: | 0.583426 | 0.583426 |
linear_system | 1 | sinusoid | 0.5 | 1 | 120 | 63 | 4.091086 | Solve this system for x:
4.091086382492118x + 2y = 8
1x + 3y = 9
FINAL: | 0.584041 | 0.584041 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 0 | 4.086603 | Solve this system for x:
4.086602540378444x + 2y = 8
1x + 3y = 9
FINAL: | 0.584806 | 0.584806 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 1 | 4.075184 | Solve this system for x:
4.075183980747898x + 2y = 8
1x + 3y = 9
FINAL: | 0.586765 | 0.586765 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 2 | 4.060876 | Solve this system for x:
4.060876142900872x + 2y = 8
1x + 3y = 9
FINAL: | 0.589239 | 0.589239 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 3 | 4.044229 | Solve this system for x:
4.0442288690219x + 2y = 8
1x + 3y = 9
FINAL: | 0.592143 | 0.592143 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 4 | 4.025882 | Solve this system for x:
4.0258819045102525x + 2y = 8
1x + 3y = 9
FINAL: | 0.595377 | 0.595377 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 5 | 4.00654 | Solve this system for x:
4.006540312923014x + 2y = 8
1x + 3y = 9
FINAL: | 0.598825 | 0.598825 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 6 | 3.986947 | Solve this system for x:
3.9869473807779947x + 2y = 8
1x + 3y = 9
FINAL: | 0.602359 | 0.602359 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 7 | 3.967856 | Solve this system for x:
3.967856053469684x + 2y = 8
1x + 3y = 9
FINAL: | 0.605842 | 0.605842 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 8 | 3.95 | Solve this system for x:
3.95x + 2y = 8
1x + 3y = 9
FINAL: | 0.609137 | 0.609137 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 9 | 3.934065 | Solve this system for x:
3.9340654184899932x + 2y = 8
1x + 3y = 9
FINAL: | 0.612108 | 0.612108 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 10 | 3.920665 | Solve this system for x:
3.9206646659708766x + 2y = 8
1x + 3y = 9
FINAL: | 0.614629 | 0.614629 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 11 | 3.910313 | Solve this system for x:
3.9103127258467314x + 2y = 8
1x + 3y = 9
FINAL: | 0.61659 | 0.61659 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 12 | 3.903407 | Solve this system for x:
3.9034074173710933x + 2y = 8
1x + 3y = 9
FINAL: | 0.617906 | 0.617906 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 13 | 3.900214 | Solve this system for x:
3.9002141076761396x + 2y = 8
1x + 3y = 9
FINAL: | 0.618516 | 0.618516 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 14 | 3.900856 | Solve this system for x:
3.900855513862619x + 2y = 8
1x + 3y = 9
FINAL: | 0.618393 | 0.618393 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 15 | 3.905307 | Solve this system for x:
3.9053069870504893x + 2y = 8
1x + 3y = 9
FINAL: | 0.617543 | 0.617543 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 16 | 3.913397 | Solve this system for x:
3.913397459621556x + 2y = 8
1x + 3y = 9
FINAL: | 0.616004 | 0.616004 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 17 | 3.924816 | Solve this system for x:
3.9248160192521024x + 2y = 8
1x + 3y = 9
FINAL: | 0.613845 | 0.613845 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 18 | 3.939124 | Solve this system for x:
3.939123857099128x + 2y = 8
1x + 3y = 9
FINAL: | 0.611162 | 0.611162 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 19 | 3.955771 | Solve this system for x:
3.9557711309781x + 2y = 8
1x + 3y = 9
FINAL: | 0.608068 | 0.608068 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 20 | 3.974118 | Solve this system for x:
3.974118095489748x + 2y = 8
1x + 3y = 9
FINAL: | 0.604695 | 0.604695 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 21 | 3.99346 | Solve this system for x:
3.9934596870769856x + 2y = 8
1x + 3y = 9
FINAL: | 0.60118 | 0.60118 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 22 | 4.013053 | Solve this system for x:
4.013052619222005x + 2y = 8
1x + 3y = 9
FINAL: | 0.59766 | 0.59766 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 23 | 4.032144 | Solve this system for x:
4.032143946530316x + 2y = 8
1x + 3y = 9
FINAL: | 0.594269 | 0.594269 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 24 | 4.05 | Solve this system for x:
4.05x + 2y = 8
1x + 3y = 9
FINAL: | 0.591133 | 0.591133 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 25 | 4.065935 | Solve this system for x:
4.065934581510007x + 2y = 8
1x + 3y = 9
FINAL: | 0.588362 | 0.588362 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 26 | 4.079335 | Solve this system for x:
4.079335334029124x + 2y = 8
1x + 3y = 9
FINAL: | 0.586052 | 0.586052 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 27 | 4.089687 | Solve this system for x:
4.089687274153269x + 2y = 8
1x + 3y = 9
FINAL: | 0.584279 | 0.584279 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 28 | 4.096593 | Solve this system for x:
4.096592582628907x + 2y = 8
1x + 3y = 9
FINAL: | 0.583103 | 0.583103 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 29 | 4.099786 | Solve this system for x:
4.09978589232386x + 2y = 8
1x + 3y = 9
FINAL: | 0.582561 | 0.582561 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 30 | 4.099144 | Solve this system for x:
4.099144486137381x + 2y = 8
1x + 3y = 9
FINAL: | 0.582669 | 0.582669 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 31 | 4.094693 | Solve this system for x:
4.09469301294951x + 2y = 8
1x + 3y = 9
FINAL: | 0.583426 | 0.583426 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 32 | 4.086603 | Solve this system for x:
4.086602540378444x + 2y = 8
1x + 3y = 9
FINAL: | 0.584806 | 0.584806 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 33 | 4.075184 | Solve this system for x:
4.075183980747898x + 2y = 8
1x + 3y = 9
FINAL: | 0.586765 | 0.586765 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 34 | 4.060876 | Solve this system for x:
4.060876142900872x + 2y = 8
1x + 3y = 9
FINAL: | 0.589239 | 0.589239 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 35 | 4.044229 | Solve this system for x:
4.0442288690219x + 2y = 8
1x + 3y = 9
FINAL: | 0.592143 | 0.592143 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 36 | 4.025882 | Solve this system for x:
4.0258819045102525x + 2y = 8
1x + 3y = 9
FINAL: | 0.595377 | 0.595377 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 37 | 4.00654 | Solve this system for x:
4.006540312923015x + 2y = 8
1x + 3y = 9
FINAL: | 0.598825 | 0.598825 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 38 | 3.986947 | Solve this system for x:
3.986947380777995x + 2y = 8
1x + 3y = 9
FINAL: | 0.602359 | 0.602359 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 39 | 3.967856 | Solve this system for x:
3.967856053469684x + 2y = 8
1x + 3y = 9
FINAL: | 0.605842 | 0.605842 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 40 | 3.95 | Solve this system for x:
3.95x + 2y = 8
1x + 3y = 9
FINAL: | 0.609137 | 0.609137 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 41 | 3.934065 | Solve this system for x:
3.9340654184899932x + 2y = 8
1x + 3y = 9
FINAL: | 0.612108 | 0.612108 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 42 | 3.920665 | Solve this system for x:
3.9206646659708766x + 2y = 8
1x + 3y = 9
FINAL: | 0.614629 | 0.614629 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 43 | 3.910313 | Solve this system for x:
3.9103127258467314x + 2y = 8
1x + 3y = 9
FINAL: | 0.61659 | 0.61659 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 44 | 3.903407 | Solve this system for x:
3.9034074173710933x + 2y = 8
1x + 3y = 9
FINAL: | 0.617906 | 0.617906 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 45 | 3.900214 | Solve this system for x:
3.9002141076761396x + 2y = 8
1x + 3y = 9
FINAL: | 0.618516 | 0.618516 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 46 | 3.900856 | Solve this system for x:
3.900855513862619x + 2y = 8
1x + 3y = 9
FINAL: | 0.618393 | 0.618393 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 47 | 3.905307 | Solve this system for x:
3.9053069870504893x + 2y = 8
1x + 3y = 9
FINAL: | 0.617543 | 0.617543 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 48 | 3.913397 | Solve this system for x:
3.913397459621556x + 2y = 8
1x + 3y = 9
FINAL: | 0.616004 | 0.616004 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 49 | 3.924816 | Solve this system for x:
3.924816019252102x + 2y = 8
1x + 3y = 9
FINAL: | 0.613845 | 0.613845 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 50 | 3.939124 | Solve this system for x:
3.939123857099128x + 2y = 8
1x + 3y = 9
FINAL: | 0.611162 | 0.611162 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 51 | 3.955771 | Solve this system for x:
3.9557711309781x + 2y = 8
1x + 3y = 9
FINAL: | 0.608068 | 0.608068 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 52 | 3.974118 | Solve this system for x:
3.974118095489748x + 2y = 8
1x + 3y = 9
FINAL: | 0.604695 | 0.604695 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 53 | 3.99346 | Solve this system for x:
3.9934596870769856x + 2y = 8
1x + 3y = 9
FINAL: | 0.60118 | 0.60118 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 54 | 4.013053 | Solve this system for x:
4.013052619222005x + 2y = 8
1x + 3y = 9
FINAL: | 0.59766 | 0.59766 |
linear_system | 1 | sinusoid | 0.5 | 2 | 120 | 55 | 4.032144 | Solve this system for x:
4.032143946530316x + 2y = 8
1x + 3y = 9
FINAL: | 0.594269 | 0.594269 |
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