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 | 0.5 | 4 | 240 | 32 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 33 | 3.900856 | Solve this system for x:
3.900855513862619x + 1y = 7
1x + 5y = 11
FINAL: | 1.296997 | 1.296997 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 34 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL: | 1.296104 | 1.296104 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 35 | 3.920665 | Solve this system for x:
3.920664665970876x + 1y = 7
1x + 5y = 11
FINAL: | 1.290092 | 1.290092 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 36 | 3.95 | Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 37 | 3.986947 | Solve this system for x:
3.9869473807779947x + 1y = 7
1x + 5y = 11
FINAL: | 1.267512 | 1.267512 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 38 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL: | 1.254613 | 1.254613 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 39 | 4.060876 | Solve this system for x:
4.060876142900872x + 1y = 7
1x + 5y = 11
FINAL: | 1.243241 | 1.243241 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 40 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 41 | 4.099144 | Solve this system for x:
4.099144486137381x + 1y = 7
1x + 5y = 11
FINAL: | 1.231039 | 1.231039 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 42 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL: | 1.231845 | 1.231845 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 43 | 4.079335 | Solve this system for x:
4.079335334029124x + 1y = 7
1x + 5y = 11
FINAL: | 1.237325 | 1.237325 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 44 | 4.05 | Solve this system for x:
4.050000000000001x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 45 | 4.013053 | Solve this system for x:
4.013052619222005x + 1y = 7
1x + 5y = 11
FINAL: | 1.258834 | 1.258834 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 46 | 3.974118 | Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL: | 1.27182 | 1.27182 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 47 | 3.939124 | Solve this system for x:
3.939123857099128x + 1y = 7
1x + 5y = 11
FINAL: | 1.283723 | 1.283723 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 48 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 49 | 3.900856 | Solve this system for x:
3.900855513862619x + 1y = 7
1x + 5y = 11
FINAL: | 1.296997 | 1.296997 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 50 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL: | 1.296104 | 1.296104 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 51 | 3.920665 | Solve this system for x:
3.920664665970876x + 1y = 7
1x + 5y = 11
FINAL: | 1.290092 | 1.290092 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 52 | 3.95 | Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 53 | 3.986947 | Solve this system for x:
3.9869473807779947x + 1y = 7
1x + 5y = 11
FINAL: | 1.267512 | 1.267512 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 54 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL: | 1.254613 | 1.254613 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 55 | 4.060876 | Solve this system for x:
4.060876142900872x + 1y = 7
1x + 5y = 11
FINAL: | 1.243241 | 1.243241 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 56 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 57 | 4.099144 | Solve this system for x:
4.099144486137381x + 1y = 7
1x + 5y = 11
FINAL: | 1.231039 | 1.231039 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 58 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL: | 1.231845 | 1.231845 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 59 | 4.079335 | Solve this system for x:
4.079335334029124x + 1y = 7
1x + 5y = 11
FINAL: | 1.237325 | 1.237325 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 60 | 4.05 | Solve this system for x:
4.050000000000001x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 61 | 4.013053 | Solve this system for x:
4.013052619222005x + 1y = 7
1x + 5y = 11
FINAL: | 1.258834 | 1.258834 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 62 | 3.974118 | Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL: | 1.27182 | 1.27182 |
linear_system | 0 | sinusoid | 0.5 | 4 | 240 | 63 | 3.939124 | Solve this system for x:
3.939123857099128x + 1y = 7
1x + 5y = 11
FINAL: | 1.283723 | 1.283723 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 0 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 1 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL: | 1.296104 | 1.296104 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 2 | 3.95 | Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 3 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL: | 1.254613 | 1.254613 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 4 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 5 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL: | 1.231845 | 1.231845 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 6 | 4.05 | Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 7 | 3.974118 | Solve this system for x:
3.974118095489748x + 1y = 7
1x + 5y = 11
FINAL: | 1.27182 | 1.27182 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 8 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 9 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL: | 1.296104 | 1.296104 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 10 | 3.95 | Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 11 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL: | 1.254613 | 1.254613 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 12 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 13 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL: | 1.231845 | 1.231845 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 14 | 4.05 | Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 15 | 3.974118 | Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL: | 1.27182 | 1.27182 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 16 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 17 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL: | 1.296104 | 1.296104 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 18 | 3.95 | Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 19 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL: | 1.254613 | 1.254613 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 20 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 21 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL: | 1.231845 | 1.231845 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 22 | 4.05 | Solve this system for x:
4.050000000000001x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 23 | 3.974118 | Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL: | 1.27182 | 1.27182 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 24 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 25 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL: | 1.296104 | 1.296104 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 26 | 3.95 | Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 27 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL: | 1.254613 | 1.254613 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 28 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 29 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL: | 1.231845 | 1.231845 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 30 | 4.05 | Solve this system for x:
4.050000000000001x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 31 | 3.974118 | Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL: | 1.27182 | 1.27182 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 32 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 33 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL: | 1.296104 | 1.296104 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 34 | 3.95 | Solve this system for x:
3.9499999999999997x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 35 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL: | 1.254613 | 1.254613 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 36 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 37 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL: | 1.231845 | 1.231845 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 38 | 4.05 | Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 39 | 3.974118 | Solve this system for x:
3.9741180954897484x + 1y = 7
1x + 5y = 11
FINAL: | 1.27182 | 1.27182 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 40 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 41 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL: | 1.296104 | 1.296104 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 42 | 3.95 | Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 43 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL: | 1.254613 | 1.254613 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 44 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 45 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL: | 1.231845 | 1.231845 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 46 | 4.05 | Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 47 | 3.974118 | Solve this system for x:
3.9741180954897475x + 1y = 7
1x + 5y = 11
FINAL: | 1.27182 | 1.27182 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 48 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 49 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL: | 1.296104 | 1.296104 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 50 | 3.95 | Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 51 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL: | 1.254613 | 1.254613 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 52 | 4.086603 | Solve this system for x:
4.086602540378444x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 53 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL: | 1.231845 | 1.231845 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 54 | 4.05 | Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 55 | 3.974118 | Solve this system for x:
3.9741180954897475x + 1y = 7
1x + 5y = 11
FINAL: | 1.27182 | 1.27182 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 56 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 57 | 3.903407 | Solve this system for x:
3.9034074173710933x + 1y = 7
1x + 5y = 11
FINAL: | 1.296104 | 1.296104 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 58 | 3.95 | Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 59 | 4.025882 | Solve this system for x:
4.025881904510252x + 1y = 7
1x + 5y = 11
FINAL: | 1.254613 | 1.254613 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 60 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 61 | 4.096593 | Solve this system for x:
4.096592582628907x + 1y = 7
1x + 5y = 11
FINAL: | 1.231845 | 1.231845 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 62 | 4.05 | Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
linear_system | 0 | sinusoid | 0.5 | 8 | 240 | 63 | 3.974118 | Solve this system for x:
3.9741180954897475x + 1y = 7
1x + 5y = 11
FINAL: | 1.27182 | 1.27182 |
linear_system | 0 | sinusoid | 0.5 | 16 | 240 | 0 | 3.913397 | Solve this system for x:
3.913397459621556x + 1y = 7
1x + 5y = 11
FINAL: | 1.292617 | 1.292617 |
linear_system | 0 | sinusoid | 0.5 | 16 | 240 | 1 | 3.95 | Solve this system for x:
3.95x + 1y = 7
1x + 5y = 11
FINAL: | 1.28 | 1.28 |
linear_system | 0 | sinusoid | 0.5 | 16 | 240 | 2 | 4.086603 | Solve this system for x:
4.086602540378443x + 1y = 7
1x + 5y = 11
FINAL: | 1.235012 | 1.235012 |
linear_system | 0 | sinusoid | 0.5 | 16 | 240 | 3 | 4.05 | Solve this system for x:
4.05x + 1y = 7
1x + 5y = 11
FINAL: | 1.246753 | 1.246753 |
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