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 | 0 | sinusoid | 1 | 2 | 120 | 36 | 4.051764 | Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL: | 1.246182 | 1.246182 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 37 | 4.013081 | Solve this system for x:
4.013080625846029x + 1y = 7
1x + 5y = 11
FINAL: | 1.258825 | 1.258825 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 38 | 3.973895 | Solve this system for x:
3.97389476155599x + 1y = 7
1x + 5y = 11
FINAL: | 1.271896 | 1.271896 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 39 | 3.935712 | Solve this system for x:
3.9357121069393677x + 1y = 7
1x + 5y = 11
FINAL: | 1.284896 | 1.284896 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 40 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 41 | 3.868131 | Solve this system for x:
3.8681308369799865x + 1y = 7
1x + 5y = 11
FINAL: | 1.308568 | 1.308568 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 42 | 3.841329 | Solve this system for x:
3.841329331941753x + 1y = 7
1x + 5y = 11
FINAL: | 1.3182 | 1.3182 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 43 | 3.820625 | Solve this system for x:
3.8206254516934623x + 1y = 7
1x + 5y = 11
FINAL: | 1.325738 | 1.325738 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 44 | 3.806815 | Solve this system for x:
3.8068148347421866x + 1y = 7
1x + 5y = 11
FINAL: | 1.330814 | 1.330814 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 45 | 3.800428 | Solve this system for x:
3.8004282153522793x + 1y = 7
1x + 5y = 11
FINAL: | 1.333175 | 1.333175 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 46 | 3.801711 | Solve this system for x:
3.8017110277252377x + 1y = 7
1x + 5y = 11
FINAL: | 1.3327 | 1.3327 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 47 | 3.810614 | Solve this system for x:
3.810613974100979x + 1y = 7
1x + 5y = 11
FINAL: | 1.329414 | 1.329414 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 48 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 49 | 3.849632 | Solve this system for x:
3.8496320385042044x + 1y = 7
1x + 5y = 11
FINAL: | 1.315201 | 1.315201 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 50 | 3.878248 | Solve this system for x:
3.8782477141982556x + 1y = 7
1x + 5y = 11
FINAL: | 1.304969 | 1.304969 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 51 | 3.911542 | Solve this system for x:
3.9115422619561997x + 1y = 7
1x + 5y = 11
FINAL: | 1.293263 | 1.293263 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 52 | 3.948236 | Solve this system for x:
3.948236190979496x + 1y = 7
1x + 5y = 11
FINAL: | 1.280602 | 1.280602 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 53 | 3.986919 | Solve this system for x:
3.9869193741539712x + 1y = 7
1x + 5y = 11
FINAL: | 1.267521 | 1.267521 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 54 | 4.026105 | Solve this system for x:
4.02610523844401x + 1y = 7
1x + 5y = 11
FINAL: | 1.254539 | 1.254539 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 55 | 4.064288 | Solve this system for x:
4.064287893060632x + 1y = 7
1x + 5y = 11
FINAL: | 1.242143 | 1.242143 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 56 | 4.1 | Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 57 | 4.131869 | Solve this system for x:
4.1318691630200135x + 1y = 7
1x + 5y = 11
FINAL: | 1.220793 | 1.220793 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 58 | 4.158671 | Solve this system for x:
4.158670668058247x + 1y = 7
1x + 5y = 11
FINAL: | 1.212528 | 1.212528 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 59 | 4.179375 | Solve this system for x:
4.179374548306537x + 1y = 7
1x + 5y = 11
FINAL: | 1.20622 | 1.20622 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 60 | 4.193185 | Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL: | 1.202048 | 1.202048 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 61 | 4.199572 | Solve this system for x:
4.199571784647721x + 1y = 7
1x + 5y = 11
FINAL: | 1.200128 | 1.200128 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 62 | 4.198289 | Solve this system for x:
4.198288972274762x + 1y = 7
1x + 5y = 11
FINAL: | 1.200514 | 1.200514 |
linear_system | 0 | sinusoid | 1 | 2 | 120 | 63 | 4.189386 | Solve this system for x:
4.189386025899021x + 1y = 7
1x + 5y = 11
FINAL: | 1.203193 | 1.203193 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 0 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 1 | 4.121752 | Solve this system for x:
4.121752285801744x + 1y = 7
1x + 5y = 11
FINAL: | 1.223943 | 1.223943 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 2 | 4.051764 | Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL: | 1.246182 | 1.246182 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 3 | 3.973895 | Solve this system for x:
3.97389476155599x + 1y = 7
1x + 5y = 11
FINAL: | 1.271896 | 1.271896 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 4 | 3.9 | Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 5 | 3.841329 | Solve this system for x:
3.841329331941753x + 1y = 7
1x + 5y = 11
FINAL: | 1.3182 | 1.3182 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 6 | 3.806815 | Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL: | 1.330814 | 1.330814 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 7 | 3.801711 | Solve this system for x:
3.8017110277252377x + 1y = 7
1x + 5y = 11
FINAL: | 1.3327 | 1.3327 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 8 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 9 | 3.878248 | Solve this system for x:
3.8782477141982556x + 1y = 7
1x + 5y = 11
FINAL: | 1.304969 | 1.304969 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 10 | 3.948236 | Solve this system for x:
3.948236190979496x + 1y = 7
1x + 5y = 11
FINAL: | 1.280602 | 1.280602 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 11 | 4.026105 | Solve this system for x:
4.02610523844401x + 1y = 7
1x + 5y = 11
FINAL: | 1.254539 | 1.254539 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 12 | 4.1 | Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 13 | 4.158671 | Solve this system for x:
4.158670668058247x + 1y = 7
1x + 5y = 11
FINAL: | 1.212528 | 1.212528 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 14 | 4.193185 | Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL: | 1.202048 | 1.202048 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 15 | 4.198289 | Solve this system for x:
4.198288972274762x + 1y = 7
1x + 5y = 11
FINAL: | 1.200514 | 1.200514 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 16 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 17 | 4.121752 | Solve this system for x:
4.121752285801744x + 1y = 7
1x + 5y = 11
FINAL: | 1.223943 | 1.223943 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 18 | 4.051764 | Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL: | 1.246182 | 1.246182 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 19 | 3.973895 | Solve this system for x:
3.97389476155599x + 1y = 7
1x + 5y = 11
FINAL: | 1.271896 | 1.271896 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 20 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 21 | 3.841329 | Solve this system for x:
3.841329331941753x + 1y = 7
1x + 5y = 11
FINAL: | 1.3182 | 1.3182 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 22 | 3.806815 | Solve this system for x:
3.8068148347421866x + 1y = 7
1x + 5y = 11
FINAL: | 1.330814 | 1.330814 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 23 | 3.801711 | Solve this system for x:
3.8017110277252377x + 1y = 7
1x + 5y = 11
FINAL: | 1.3327 | 1.3327 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 24 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 25 | 3.878248 | Solve this system for x:
3.8782477141982556x + 1y = 7
1x + 5y = 11
FINAL: | 1.304969 | 1.304969 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 26 | 3.948236 | Solve this system for x:
3.948236190979496x + 1y = 7
1x + 5y = 11
FINAL: | 1.280602 | 1.280602 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 27 | 4.026105 | Solve this system for x:
4.02610523844401x + 1y = 7
1x + 5y = 11
FINAL: | 1.254539 | 1.254539 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 28 | 4.1 | Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 29 | 4.158671 | Solve this system for x:
4.158670668058247x + 1y = 7
1x + 5y = 11
FINAL: | 1.212528 | 1.212528 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 30 | 4.193185 | Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL: | 1.202048 | 1.202048 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 31 | 4.198289 | Solve this system for x:
4.198288972274762x + 1y = 7
1x + 5y = 11
FINAL: | 1.200514 | 1.200514 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 32 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 33 | 4.121752 | Solve this system for x:
4.121752285801744x + 1y = 7
1x + 5y = 11
FINAL: | 1.223943 | 1.223943 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 34 | 4.051764 | Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL: | 1.246182 | 1.246182 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 35 | 3.973895 | Solve this system for x:
3.97389476155599x + 1y = 7
1x + 5y = 11
FINAL: | 1.271896 | 1.271896 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 36 | 3.9 | Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 37 | 3.841329 | Solve this system for x:
3.8413293319417527x + 1y = 7
1x + 5y = 11
FINAL: | 1.3182 | 1.3182 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 38 | 3.806815 | Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL: | 1.330814 | 1.330814 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 39 | 3.801711 | Solve this system for x:
3.8017110277252377x + 1y = 7
1x + 5y = 11
FINAL: | 1.3327 | 1.3327 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 40 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 41 | 3.878248 | Solve this system for x:
3.8782477141982556x + 1y = 7
1x + 5y = 11
FINAL: | 1.304969 | 1.304969 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 42 | 3.948236 | Solve this system for x:
3.9482361909794963x + 1y = 7
1x + 5y = 11
FINAL: | 1.280602 | 1.280602 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 43 | 4.026105 | Solve this system for x:
4.026105238444011x + 1y = 7
1x + 5y = 11
FINAL: | 1.254539 | 1.254539 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 44 | 4.1 | Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 45 | 4.158671 | Solve this system for x:
4.158670668058247x + 1y = 7
1x + 5y = 11
FINAL: | 1.212528 | 1.212528 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 46 | 4.193185 | Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL: | 1.202048 | 1.202048 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 47 | 4.198289 | Solve this system for x:
4.198288972274762x + 1y = 7
1x + 5y = 11
FINAL: | 1.200514 | 1.200514 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 48 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 49 | 4.121752 | Solve this system for x:
4.121752285801744x + 1y = 7
1x + 5y = 11
FINAL: | 1.223943 | 1.223943 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 50 | 4.051764 | Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL: | 1.246182 | 1.246182 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 51 | 3.973895 | Solve this system for x:
3.97389476155599x + 1y = 7
1x + 5y = 11
FINAL: | 1.271896 | 1.271896 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 52 | 3.9 | Solve this system for x:
3.8999999999999995x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 53 | 3.841329 | Solve this system for x:
3.8413293319417527x + 1y = 7
1x + 5y = 11
FINAL: | 1.3182 | 1.3182 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 54 | 3.806815 | Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL: | 1.330814 | 1.330814 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 55 | 3.801711 | Solve this system for x:
3.801711027725238x + 1y = 7
1x + 5y = 11
FINAL: | 1.3327 | 1.3327 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 56 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 57 | 3.878248 | Solve this system for x:
3.8782477141982556x + 1y = 7
1x + 5y = 11
FINAL: | 1.304969 | 1.304969 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 58 | 3.948236 | Solve this system for x:
3.948236190979496x + 1y = 7
1x + 5y = 11
FINAL: | 1.280602 | 1.280602 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 59 | 4.026105 | Solve this system for x:
4.026105238444011x + 1y = 7
1x + 5y = 11
FINAL: | 1.254539 | 1.254539 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 60 | 4.1 | Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 61 | 4.158671 | Solve this system for x:
4.158670668058247x + 1y = 7
1x + 5y = 11
FINAL: | 1.212528 | 1.212528 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 62 | 4.193185 | Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL: | 1.202048 | 1.202048 |
linear_system | 0 | sinusoid | 1 | 4 | 120 | 63 | 4.198289 | Solve this system for x:
4.198288972274762x + 1y = 7
1x + 5y = 11
FINAL: | 1.200514 | 1.200514 |
linear_system | 0 | sinusoid | 1 | 8 | 120 | 0 | 4.173205 | Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL: | 1.208093 | 1.208093 |
linear_system | 0 | sinusoid | 1 | 8 | 120 | 1 | 4.051764 | Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL: | 1.246182 | 1.246182 |
linear_system | 0 | sinusoid | 1 | 8 | 120 | 2 | 3.9 | Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL: | 1.297297 | 1.297297 |
linear_system | 0 | sinusoid | 1 | 8 | 120 | 3 | 3.806815 | Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL: | 1.330814 | 1.330814 |
linear_system | 0 | sinusoid | 1 | 8 | 120 | 4 | 3.826795 | Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL: | 1.323483 | 1.323483 |
linear_system | 0 | sinusoid | 1 | 8 | 120 | 5 | 3.948236 | Solve this system for x:
3.948236190979496x + 1y = 7
1x + 5y = 11
FINAL: | 1.280602 | 1.280602 |
linear_system | 0 | sinusoid | 1 | 8 | 120 | 6 | 4.1 | Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL: | 1.230769 | 1.230769 |
linear_system | 0 | sinusoid | 1 | 8 | 120 | 7 | 4.193185 | Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL: | 1.202048 | 1.202048 |
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