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 0.06
0.1
| prompt
stringlengths 86
96
| ground_truth
float64 144
318
| symbolic_baseline_answer
float64 144
318
|
|---|---|---|---|---|---|---|---|---|---|---|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 4
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 5
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 6
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 7
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 8
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 9
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 10
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 11
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 12
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 13
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 14
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 15
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 16
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 17
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 18
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 19
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 20
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 21
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 22
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 23
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 24
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 25
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 26
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 27
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 28
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 29
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 30
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 31
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 32
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 33
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 34
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 35
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 36
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 37
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 38
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 39
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 40
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 41
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 42
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 43
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 44
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 45
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 46
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 47
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 48
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 49
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 50
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 51
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 52
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 53
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 54
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 55
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 56
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 57
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 58
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 59
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 60
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 61
| 0.087
|
Calculate the compound interest: $200 invested at 8.7% annual rate for 5 years.
FINAL:
| 303.513293
| 303.513293
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 62
| 0.08
|
Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL:
| 293.865615
| 293.865615
|
exponential_interest
| 1
|
sinusoid
| 1
| 16
| 0
| 63
| 0.073
|
Calculate the compound interest: $200 invested at 7.3% annual rate for 5 years.
FINAL:
| 284.464847
| 284.464847
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 0
| 0.086062
|
Calculate the compound interest: $200 invested at 8.606217783% annual rate for 5 years.
FINAL:
| 302.206251
| 302.206251
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 1
| 0.08569
|
Calculate the compound interest: $200 invested at 8.568992679% annual rate for 5 years.
FINAL:
| 301.688696
| 301.688696
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 2
| 0.085263
|
Calculate the compound interest: $200 invested at 8.526287865% annual rate for 5 years.
FINAL:
| 301.095827
| 301.095827
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 3
| 0.084785
|
Calculate the compound interest: $200 invested at 8.478514611% annual rate for 5 years.
FINAL:
| 300.433699
| 300.433699
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 4
| 0.084261
|
Calculate the compound interest: $200 invested at 8.426133% annual rate for 5 years.
FINAL:
| 299.709039
| 299.709039
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 5
| 0.083696
|
Calculate the compound interest: $200 invested at 8.369647495% annual rate for 5 years.
FINAL:
| 298.929172
| 298.929172
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 6
| 0.083096
|
Calculate the compound interest: $200 invested at 8.309602083% annual rate for 5 years.
FINAL:
| 298.101936
| 298.101936
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 7
| 0.082466
|
Calculate the compound interest: $200 invested at 8.246575034% annual rate for 5 years.
FINAL:
| 297.235594
| 297.235594
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 8
| 0.081812
|
Calculate the compound interest: $200 invested at 8.181173332% annual rate for 5 years.
FINAL:
| 296.338742
| 296.338742
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 9
| 0.08114
|
Calculate the compound interest: $200 invested at 8.114026831% annual rate for 5 years.
FINAL:
| 295.420217
| 295.420217
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 10
| 0.080458
|
Calculate the compound interest: $200 invested at 8.04578219% annual rate for 5 years.
FINAL:
| 294.489005
| 294.489005
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 11
| 0.079771
|
Calculate the compound interest: $200 invested at 7.977096642% annual rate for 5 years.
FINAL:
| 293.55415
| 293.55415
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 12
| 0.079086
|
Calculate the compound interest: $200 invested at 7.908631665% annual rate for 5 years.
FINAL:
| 292.624661
| 292.624661
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 13
| 0.07841
|
Calculate the compound interest: $200 invested at 7.841046616% annual rate for 5 years.
FINAL:
| 291.709428
| 291.709428
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 14
| 0.07775
|
Calculate the compound interest: $200 invested at 7.774992374% annual rate for 5 years.
FINAL:
| 290.81714
| 290.81714
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 15
| 0.077111
|
Calculate the compound interest: $200 invested at 7.711105079% annual rate for 5 years.
FINAL:
| 289.956203
| 289.956203
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 16
| 0.0765
|
Calculate the compound interest: $200 invested at 7.65% annual rate for 5 years.
FINAL:
| 289.134667
| 289.134667
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 17
| 0.075923
|
Calculate the compound interest: $200 invested at 7.592265612% annual rate for 5 years.
FINAL:
| 288.360161
| 288.360161
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 18
| 0.075385
|
Calculate the compound interest: $200 invested at 7.538457929% annual rate for 5 years.
FINAL:
| 287.639827
| 287.639827
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 19
| 0.074891
|
Calculate the compound interest: $200 invested at 7.489095149% annual rate for 5 years.
FINAL:
| 286.980264
| 286.980264
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 20
| 0.074447
|
Calculate the compound interest: $200 invested at 7.444652662% annual rate for 5 years.
FINAL:
| 286.387479
| 286.387479
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 21
| 0.074056
|
Calculate the compound interest: $200 invested at 7.405558473% annual rate for 5 years.
FINAL:
| 285.866842
| 285.866842
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 22
| 0.073722
|
Calculate the compound interest: $200 invested at 7.372189081% annual rate for 5 years.
FINAL:
| 285.423044
| 285.423044
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 23
| 0.073449
|
Calculate the compound interest: $200 invested at 7.344865851% annual rate for 5 years.
FINAL:
| 285.060068
| 285.060068
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 24
| 0.073239
|
Calculate the compound interest: $200 invested at 7.323851922% annual rate for 5 years.
FINAL:
| 284.781159
| 284.781159
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 25
| 0.073093
|
Calculate the compound interest: $200 invested at 7.309349668% annual rate for 5 years.
FINAL:
| 284.588804
| 284.588804
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 26
| 0.073015
|
Calculate the compound interest: $200 invested at 7.301498754% annual rate for 5 years.
FINAL:
| 284.484714
| 284.484714
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 27
| 0.073004
|
Calculate the compound interest: $200 invested at 7.300374789% annual rate for 5 years.
FINAL:
| 284.469815
| 284.469815
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 28
| 0.07306
|
Calculate the compound interest: $200 invested at 7.305988597% annual rate for 5 years.
FINAL:
| 284.544238
| 284.544238
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 29
| 0.073183
|
Calculate the compound interest: $200 invested at 7.318286115% annual rate for 5 years.
FINAL:
| 284.707323
| 284.707323
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 30
| 0.073371
|
Calculate the compound interest: $200 invested at 7.337148909% annual rate for 5 years.
FINAL:
| 284.957618
| 284.957618
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 31
| 0.073624
|
Calculate the compound interest: $200 invested at 7.362395323% annual rate for 5 years.
FINAL:
| 285.292896
| 285.292896
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 32
| 0.073938
|
Calculate the compound interest: $200 invested at 7.393782217% annual rate for 5 years.
FINAL:
| 285.71016
| 285.71016
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 33
| 0.07431
|
Calculate the compound interest: $200 invested at 7.431007321% annual rate for 5 years.
FINAL:
| 286.205671
| 286.205671
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 34
| 0.074737
|
Calculate the compound interest: $200 invested at 7.473712135% annual rate for 5 years.
FINAL:
| 286.774971
| 286.774971
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 35
| 0.075215
|
Calculate the compound interest: $200 invested at 7.521485389% annual rate for 5 years.
FINAL:
| 287.412911
| 287.412911
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 36
| 0.075739
|
Calculate the compound interest: $200 invested at 7.573867% annual rate for 5 years.
FINAL:
| 288.113693
| 288.113693
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 37
| 0.076304
|
Calculate the compound interest: $200 invested at 7.630352505% annual rate for 5 years.
FINAL:
| 288.87091
| 288.87091
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 38
| 0.076904
|
Calculate the compound interest: $200 invested at 7.690397917% annual rate for 5 years.
FINAL:
| 289.677594
| 289.677594
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 39
| 0.077534
|
Calculate the compound interest: $200 invested at 7.753424966% annual rate for 5 years.
FINAL:
| 290.526272
| 290.526272
|
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