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 | 2.5 | 8 | 0 | 48 | 4 | Solve this system for x:
3.999999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 49 | 4.353553 | Solve this system for x:
4.353553390593272x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 50 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 51 | 4.353553 | Solve this system for x:
4.353553390593275x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 52 | 4 | Solve this system for x:
3.999999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 53 | 3.646447 | Solve this system for x:
3.6464466094067265x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 54 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 55 | 3.646447 | Solve this system for x:
3.6464466094067265x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 56 | 4 | Solve this system for x:
3.999999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 57 | 4.353553 | Solve this system for x:
4.353553390593272x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 58 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 59 | 4.353553 | Solve this system for x:
4.353553390593275x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 60 | 4 | Solve this system for x:
4.000000000000003x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 61 | 3.646447 | Solve this system for x:
3.6464466094067265x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 62 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 8 | 0 | 63 | 3.646447 | Solve this system for x:
3.6464466094067265x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 0 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 1 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 2 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 3 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 4 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 5 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 6 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 7 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 8 | 4 | Solve this system for x:
3.9999999999999996x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 9 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 10 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 11 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 12 | 4 | Solve this system for x:
3.9999999999999996x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 13 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 14 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 15 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 16 | 4 | Solve this system for x:
3.9999999999999996x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 17 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 18 | 4 | Solve this system for x:
4.000000000000001x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 19 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 20 | 4 | Solve this system for x:
3.9999999999999996x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 21 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 22 | 4 | Solve this system for x:
4.000000000000003x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 23 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 24 | 4 | Solve this system for x:
3.999999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 25 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 26 | 4 | Solve this system for x:
3.999999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 27 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 28 | 4 | Solve this system for x:
3.999999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 29 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 30 | 4 | Solve this system for x:
4.000000000000003x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 31 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 32 | 4 | Solve this system for x:
3.999999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 33 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 34 | 4 | Solve this system for x:
3.999999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 35 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 36 | 4 | Solve this system for x:
3.999999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 37 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 38 | 4 | Solve this system for x:
4.000000000000003x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 39 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 40 | 4 | Solve this system for x:
3.9999999999999987x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 41 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 42 | 4 | Solve this system for x:
3.9999999999999996x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 43 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 44 | 4 | Solve this system for x:
3.999999999999995x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 45 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 46 | 4 | Solve this system for x:
4.0000000000000036x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 47 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 48 | 4 | Solve this system for x:
3.9999999999999987x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 49 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 50 | 4 | Solve this system for x:
3.9999999999999996x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 51 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 52 | 4 | Solve this system for x:
4.000000000000002x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 53 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 54 | 4 | Solve this system for x:
4.0000000000000036x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 55 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 56 | 4 | Solve this system for x:
3.9999999999999982x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 57 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 58 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 59 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 60 | 4 | Solve this system for x:
3.9999999999999947x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 61 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 62 | 4 | Solve this system for x:
4.0000000000000036x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 16 | 0 | 63 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 0 | 4.433013 | Solve this system for x:
4.43301270189222x + 1y = 7
1x + 5y = 11
FINAL: | 1.133944 | 1.133944 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 1 | 4.406423 | Solve this system for x:
4.406423342295808x + 1y = 7
1x + 5y = 11
FINAL: | 1.141112 | 1.141112 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 2 | 4.37592 | Solve this system for x:
4.375919903739489x + 1y = 7
1x + 5y = 11
FINAL: | 1.149447 | 1.149447 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 3 | 4.341796 | Solve this system for x:
4.341796151011436x + 1y = 7
1x + 5y = 11
FINAL: | 1.158917 | 1.158917 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 4 | 4.304381 | Solve this system for x:
4.304380714504361x + 1y = 7
1x + 5y = 11
FINAL: | 1.169482 | 1.169482 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 5 | 4.264034 | Solve this system for x:
4.264033925325184x + 1y = 7
1x + 5y = 11
FINAL: | 1.181093 | 1.181093 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 6 | 4.221144 | Solve this system for x:
4.221144345109501x + 1y = 7
1x + 5y = 11
FINAL: | 1.19369 | 1.19369 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 7 | 4.176125 | Solve this system for x:
4.176125023960617x + 1y = 7
1x + 5y = 11
FINAL: | 1.207206 | 1.207206 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 8 | 4.12941 | Solve this system for x:
4.129409522551261x + 1y = 7
1x + 5y = 11
FINAL: | 1.221558 | 1.221558 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 9 | 4.081448 | Solve this system for x:
4.081447736697294x + 1y = 7
1x + 5y = 11
FINAL: | 1.236652 | 1.236652 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 10 | 4.032702 | Solve this system for x:
4.0327015646150715x + 1y = 7
1x + 5y = 11
FINAL: | 1.25238 | 1.25238 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 11 | 3.98364 | Solve this system for x:
3.9836404585891123x + 1y = 7
1x + 5y = 11
FINAL: | 1.268619 | 1.268619 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 12 | 3.934737 | Solve this system for x:
3.9347369038899744x + 1y = 7
1x + 5y = 11
FINAL: | 1.285231 | 1.285231 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 13 | 3.886462 | Solve this system for x:
3.8864618684828134x + 1y = 7
1x + 5y = 11
FINAL: | 1.302061 | 1.302061 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 14 | 3.83928 | Solve this system for x:
3.8392802673484194x + 1y = 7
1x + 5y = 11
FINAL: | 1.318942 | 1.318942 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 15 | 3.793646 | Solve this system for x:
3.7936464850978027x + 1y = 7
1x + 5y = 11
FINAL: | 1.335691 | 1.335691 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 16 | 3.75 | Solve this system for x:
3.75x + 1y = 7
1x + 5y = 11
FINAL: | 1.352113 | 1.352113 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 17 | 3.708761 | Solve this system for x:
3.708761151566099x + 1y = 7
1x + 5y = 11
FINAL: | 1.368004 | 1.368004 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 18 | 3.670327 | Solve this system for x:
3.670327092449966x + 1y = 7
1x + 5y = 11
FINAL: | 1.383155 | 1.383155 |
linear_system | 0 | sinusoid | 2.5 | 1 | 120 | 19 | 3.635068 | Solve this system for x:
3.6350679636510823x + 1y = 7
1x + 5y = 11
FINAL: | 1.397352 | 1.397352 |
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