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
| 2
|
sinusoid
| 2.5
| 16
| 240
| 24
| 0.064845
|
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years.
FINAL:
| 192.857316
| 192.857316
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 25
| 0.07125
|
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years.
FINAL:
| 197.539795
| 197.539795
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 26
| 0.095155
|
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years.
FINAL:
| 215.771622
| 215.771622
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 27
| 0.08875
|
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years.
FINAL:
| 210.767639
| 210.767639
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 28
| 0.064845
|
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years.
FINAL:
| 192.857316
| 192.857316
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 29
| 0.07125
|
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years.
FINAL:
| 197.539795
| 197.539795
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 30
| 0.095155
|
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years.
FINAL:
| 215.771622
| 215.771622
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 31
| 0.08875
|
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years.
FINAL:
| 210.767639
| 210.767639
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 32
| 0.064845
|
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years.
FINAL:
| 192.857316
| 192.857316
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 33
| 0.07125
|
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years.
FINAL:
| 197.539795
| 197.539795
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 34
| 0.095155
|
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years.
FINAL:
| 215.771622
| 215.771622
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 35
| 0.08875
|
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years.
FINAL:
| 210.767639
| 210.767639
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 36
| 0.064845
|
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years.
FINAL:
| 192.857316
| 192.857316
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 37
| 0.07125
|
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years.
FINAL:
| 197.539795
| 197.539795
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 38
| 0.095155
|
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years.
FINAL:
| 215.771622
| 215.771622
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 39
| 0.08875
|
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years.
FINAL:
| 210.767639
| 210.767639
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 40
| 0.064845
|
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years.
FINAL:
| 192.857316
| 192.857316
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 41
| 0.07125
|
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years.
FINAL:
| 197.539795
| 197.539795
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 42
| 0.095155
|
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years.
FINAL:
| 215.771622
| 215.771622
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 43
| 0.08875
|
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years.
FINAL:
| 210.767639
| 210.767639
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 44
| 0.064845
|
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years.
FINAL:
| 192.857316
| 192.857316
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 45
| 0.07125
|
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years.
FINAL:
| 197.539795
| 197.539795
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 46
| 0.095155
|
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years.
FINAL:
| 215.771622
| 215.771622
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 47
| 0.08875
|
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years.
FINAL:
| 210.767639
| 210.767639
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 48
| 0.064845
|
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years.
FINAL:
| 192.857316
| 192.857316
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 49
| 0.07125
|
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years.
FINAL:
| 197.539795
| 197.539795
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 50
| 0.095155
|
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years.
FINAL:
| 215.771622
| 215.771622
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 51
| 0.08875
|
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years.
FINAL:
| 210.767639
| 210.767639
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 52
| 0.064845
|
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years.
FINAL:
| 192.857316
| 192.857316
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 53
| 0.07125
|
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years.
FINAL:
| 197.539795
| 197.539795
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 54
| 0.095155
|
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years.
FINAL:
| 215.771622
| 215.771622
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 55
| 0.08875
|
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years.
FINAL:
| 210.767639
| 210.767639
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 56
| 0.064845
|
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years.
FINAL:
| 192.857316
| 192.857316
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 57
| 0.07125
|
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years.
FINAL:
| 197.539795
| 197.539795
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 58
| 0.095155
|
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years.
FINAL:
| 215.771622
| 215.771622
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 59
| 0.08875
|
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years.
FINAL:
| 210.767639
| 210.767639
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 60
| 0.064845
|
Calculate the compound interest: $150 invested at 6.484455543% annual rate for 4 years.
FINAL:
| 192.857316
| 192.857316
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 61
| 0.07125
|
Calculate the compound interest: $150 invested at 7.125% annual rate for 4 years.
FINAL:
| 197.539795
| 197.539795
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 62
| 0.095155
|
Calculate the compound interest: $150 invested at 9.515544457% annual rate for 4 years.
FINAL:
| 215.771622
| 215.771622
|
exponential_interest
| 2
|
sinusoid
| 2.5
| 16
| 240
| 63
| 0.08875
|
Calculate the compound interest: $150 invested at 8.875% annual rate for 4 years.
FINAL:
| 210.767639
| 210.767639
|
exponential_interest
| 0
|
chirp
| 1
| 1
| null | 0
| 0.08
|
Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL:
| 158.687432
| 158.687432
|
exponential_interest
| 0
|
chirp
| 1
| 1.058594
| null | 1
| 0.081281
|
Calculate the compound interest: $100 invested at 8.128127922% annual rate for 6 years.
FINAL:
| 159.82036
| 159.82036
|
exponential_interest
| 0
|
chirp
| 1
| 1.117188
| null | 2
| 0.084701
|
Calculate the compound interest: $100 invested at 8.470091268% annual rate for 6 years.
FINAL:
| 162.877102
| 162.877102
|
exponential_interest
| 0
|
chirp
| 1
| 1.175781
| null | 3
| 0.086974
|
Calculate the compound interest: $100 invested at 8.697418829% annual rate for 6 years.
FINAL:
| 164.935973
| 164.935973
|
exponential_interest
| 0
|
chirp
| 1
| 1.234375
| null | 4
| 0.081366
|
Calculate the compound interest: $100 invested at 8.136563225% annual rate for 6 years.
FINAL:
| 159.895182
| 159.895182
|
exponential_interest
| 0
|
chirp
| 1
| 1.292969
| null | 5
| 0.073043
|
Calculate the compound interest: $100 invested at 7.304265121% annual rate for 6 years.
FINAL:
| 152.651792
| 152.651792
|
exponential_interest
| 0
|
chirp
| 1
| 1.351563
| null | 6
| 0.082358
|
Calculate the compound interest: $100 invested at 8.235822897% annual rate for 6 years.
FINAL:
| 160.777822
| 160.777822
|
exponential_interest
| 0
|
chirp
| 1
| 1.410156
| null | 7
| 0.082758
|
Calculate the compound interest: $100 invested at 8.275794428% annual rate for 6 years.
FINAL:
| 161.134403
| 161.134403
|
exponential_interest
| 0
|
chirp
| 1
| 1.46875
| null | 8
| 0.07505
|
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years.
FINAL:
| 154.373444
| 154.373444
|
exponential_interest
| 0
|
chirp
| 1
| 1.527344
| null | 9
| 0.08501
|
Calculate the compound interest: $100 invested at 8.501011578% annual rate for 6 years.
FINAL:
| 163.155877
| 163.155877
|
exponential_interest
| 0
|
chirp
| 1
| 1.585938
| null | 10
| 0.077007
|
Calculate the compound interest: $100 invested at 7.700711435% annual rate for 6 years.
FINAL:
| 156.067126
| 156.067126
|
exponential_interest
| 0
|
chirp
| 1
| 1.644531
| null | 11
| 0.07805
|
Calculate the compound interest: $100 invested at 7.805036217% annual rate for 6 years.
FINAL:
| 156.976376
| 156.976376
|
exponential_interest
| 0
|
chirp
| 1
| 1.703125
| null | 12
| 0.086865
|
Calculate the compound interest: $100 invested at 8.686549696% annual rate for 6 years.
FINAL:
| 164.837042
| 164.837042
|
exponential_interest
| 0
|
chirp
| 1
| 1.761719
| null | 13
| 0.077886
|
Calculate the compound interest: $100 invested at 7.788595835% annual rate for 6 years.
FINAL:
| 156.832796
| 156.832796
|
exponential_interest
| 0
|
chirp
| 1
| 1.820313
| null | 14
| 0.073008
|
Calculate the compound interest: $100 invested at 7.300843181% annual rate for 6 years.
FINAL:
| 152.622586
| 152.622586
|
exponential_interest
| 0
|
chirp
| 1
| 1.878906
| null | 15
| 0.076183
|
Calculate the compound interest: $100 invested at 7.618272508% annual rate for 6 years.
FINAL:
| 155.351732
| 155.351732
|
exponential_interest
| 0
|
chirp
| 1
| 1.9375
| null | 16
| 0.08
|
Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL:
| 158.687432
| 158.687432
|
exponential_interest
| 0
|
chirp
| 1
| 1.996094
| null | 17
| 0.08145
|
Calculate the compound interest: $100 invested at 8.144977963% annual rate for 6 years.
FINAL:
| 159.96985
| 159.96985
|
exponential_interest
| 0
|
chirp
| 1
| 2.054688
| null | 18
| 0.080343
|
Calculate the compound interest: $100 invested at 8.034347372% annual rate for 6 years.
FINAL:
| 158.990478
| 158.990478
|
exponential_interest
| 0
|
chirp
| 1
| 2.113281
| null | 19
| 0.076776
|
Calculate the compound interest: $100 invested at 7.677622902% annual rate for 6 years.
FINAL:
| 155.86649
| 155.86649
|
exponential_interest
| 0
|
chirp
| 1
| 2.171875
| null | 20
| 0.073135
|
Calculate the compound interest: $100 invested at 7.313450304% annual rate for 6 years.
FINAL:
| 152.73021
| 152.73021
|
exponential_interest
| 0
|
chirp
| 1
| 2.230469
| null | 21
| 0.076625
|
Calculate the compound interest: $100 invested at 7.66247136% annual rate for 6 years.
FINAL:
| 155.734943
| 155.734943
|
exponential_interest
| 0
|
chirp
| 1
| 2.289063
| null | 22
| 0.086328
|
Calculate the compound interest: $100 invested at 8.632792505% annual rate for 6 years.
FINAL:
| 164.348469
| 164.348469
|
exponential_interest
| 0
|
chirp
| 1
| 2.347656
| null | 23
| 0.080086
|
Calculate the compound interest: $100 invested at 8.008590077% annual rate for 6 years.
FINAL:
| 158.763177
| 158.763177
|
exponential_interest
| 0
|
chirp
| 1
| 2.40625
| null | 24
| 0.07505
|
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years.
FINAL:
| 154.373444
| 154.373444
|
exponential_interest
| 0
|
chirp
| 1
| 2.464844
| null | 25
| 0.0865
|
Calculate the compound interest: $100 invested at 8.649954256% annual rate for 6 years.
FINAL:
| 164.504312
| 164.504312
|
exponential_interest
| 0
|
chirp
| 1
| 2.523438
| null | 26
| 0.073409
|
Calculate the compound interest: $100 invested at 7.340919154% annual rate for 6 years.
FINAL:
| 152.964925
| 152.964925
|
exponential_interest
| 0
|
chirp
| 1
| 2.582031
| null | 27
| 0.085465
|
Calculate the compound interest: $100 invested at 8.54651606% annual rate for 6 years.
FINAL:
| 163.566866
| 163.566866
|
exponential_interest
| 0
|
chirp
| 1
| 2.640625
| null | 28
| 0.078634
|
Calculate the compound interest: $100 invested at 7.863436775% annual rate for 6 years.
FINAL:
| 157.487295
| 157.487295
|
exponential_interest
| 0
|
chirp
| 1
| 2.699219
| null | 29
| 0.074644
|
Calculate the compound interest: $100 invested at 7.464382914% annual rate for 6 years.
FINAL:
| 154.023609
| 154.023609
|
exponential_interest
| 0
|
chirp
| 1
| 2.757813
| null | 30
| 0.085187
|
Calculate the compound interest: $100 invested at 8.518665788% annual rate for 6 years.
FINAL:
| 163.315225
| 163.315225
|
exponential_interest
| 0
|
chirp
| 1
| 2.816406
| null | 31
| 0.085772
|
Calculate the compound interest: $100 invested at 8.577212512% annual rate for 6 years.
FINAL:
| 163.844598
| 163.844598
|
exponential_interest
| 0
|
chirp
| 1
| 2.875
| null | 32
| 0.08
|
Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL:
| 158.687432
| 158.687432
|
exponential_interest
| 0
|
chirp
| 1
| 2.933594
| null | 33
| 0.07604
|
Calculate the compound interest: $100 invested at 7.603987732% annual rate for 6 years.
FINAL:
| 155.228049
| 155.228049
|
exponential_interest
| 0
|
chirp
| 1
| 2.992188
| null | 34
| 0.074813
|
Calculate the compound interest: $100 invested at 7.481334212% annual rate for 6 years.
FINAL:
| 154.169439
| 154.169439
|
exponential_interest
| 0
|
chirp
| 1
| 3.050781
| null | 35
| 0.075493
|
Calculate the compound interest: $100 invested at 7.54931792% annual rate for 6 years.
FINAL:
| 154.755454
| 154.755454
|
exponential_interest
| 0
|
chirp
| 1
| 3.109375
| null | 36
| 0.078634
|
Calculate the compound interest: $100 invested at 7.863436775% annual rate for 6 years.
FINAL:
| 157.487295
| 157.487295
|
exponential_interest
| 0
|
chirp
| 1
| 3.167969
| null | 37
| 0.084374
|
Calculate the compound interest: $100 invested at 8.437401642% annual rate for 6 years.
FINAL:
| 162.582806
| 162.582806
|
exponential_interest
| 0
|
chirp
| 1
| 3.226563
| null | 38
| 0.086591
|
Calculate the compound interest: $100 invested at 8.659080846% annual rate for 6 years.
FINAL:
| 164.58724
| 164.58724
|
exponential_interest
| 0
|
chirp
| 1
| 3.285156
| null | 39
| 0.077401
|
Calculate the compound interest: $100 invested at 7.740077964% annual rate for 6 years.
FINAL:
| 156.409711
| 156.409711
|
exponential_interest
| 0
|
chirp
| 1
| 3.34375
| null | 40
| 0.07505
|
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years.
FINAL:
| 154.373444
| 154.373444
|
exponential_interest
| 0
|
chirp
| 1
| 3.402344
| null | 41
| 0.086999
|
Calculate the compound interest: $100 invested at 8.699947291% annual rate for 6 years.
FINAL:
| 164.958995
| 164.958995
|
exponential_interest
| 0
|
chirp
| 1
| 3.460938
| null | 42
| 0.073672
|
Calculate the compound interest: $100 invested at 7.367207495% annual rate for 6 years.
FINAL:
| 153.189834
| 153.189834
|
exponential_interest
| 0
|
chirp
| 1
| 3.519531
| null | 43
| 0.086132
|
Calculate the compound interest: $100 invested at 8.613249066% annual rate for 6 years.
FINAL:
| 164.171147
| 164.171147
|
exponential_interest
| 0
|
chirp
| 1
| 3.578125
| null | 44
| 0.073135
|
Calculate the compound interest: $100 invested at 7.313450304% annual rate for 6 years.
FINAL:
| 152.73021
| 152.73021
|
exponential_interest
| 0
|
chirp
| 1
| 3.636719
| null | 45
| 0.086213
|
Calculate the compound interest: $100 invested at 8.621347734% annual rate for 6 years.
FINAL:
| 164.244609
| 164.244609
|
exponential_interest
| 0
|
chirp
| 1
| 3.695313
| null | 46
| 0.079657
|
Calculate the compound interest: $100 invested at 7.965652628% annual rate for 6 years.
FINAL:
| 158.384868
| 158.384868
|
exponential_interest
| 0
|
chirp
| 1
| 3.753906
| null | 47
| 0.073152
|
Calculate the compound interest: $100 invested at 7.31517784% annual rate for 6 years.
FINAL:
| 152.744963
| 152.744963
|
exponential_interest
| 0
|
chirp
| 1
| 3.8125
| null | 48
| 0.08
|
Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL:
| 158.687432
| 158.687432
|
exponential_interest
| 0
|
chirp
| 1
| 3.871094
| null | 49
| 0.085868
|
Calculate the compound interest: $100 invested at 8.586757294% annual rate for 6 years.
FINAL:
| 163.931036
| 163.931036
|
exponential_interest
| 0
|
chirp
| 1
| 3.929688
| null | 50
| 0.086992
|
Calculate the compound interest: $100 invested at 8.699156819% annual rate for 6 years.
FINAL:
| 164.951797
| 164.951797
|
exponential_interest
| 0
|
chirp
| 1
| 3.988281
| null | 51
| 0.086673
|
Calculate the compound interest: $100 invested at 8.667314228% annual rate for 6 years.
FINAL:
| 164.662081
| 164.662081
|
exponential_interest
| 0
|
chirp
| 1
| 4.046875
| null | 52
| 0.086865
|
Calculate the compound interest: $100 invested at 8.686549696% annual rate for 6 years.
FINAL:
| 164.837042
| 164.837042
|
exponential_interest
| 0
|
chirp
| 1
| 4.105469
| null | 53
| 0.086723
|
Calculate the compound interest: $100 invested at 8.672301364% annual rate for 6 years.
FINAL:
| 164.707428
| 164.707428
|
exponential_interest
| 0
|
chirp
| 1
| 4.164063
| null | 54
| 0.082993
|
Calculate the compound interest: $100 invested at 8.299288565% annual rate for 6 years.
FINAL:
| 161.344298
| 161.344298
|
exponential_interest
| 0
|
chirp
| 1
| 4.222656
| null | 55
| 0.075111
|
Calculate the compound interest: $100 invested at 7.511136625% annual rate for 6 years.
FINAL:
| 154.426106
| 154.426106
|
exponential_interest
| 0
|
chirp
| 1
| 4.28125
| null | 56
| 0.07505
|
Calculate the compound interest: $100 invested at 7.505025253% annual rate for 6 years.
FINAL:
| 154.373444
| 154.373444
|
exponential_interest
| 0
|
chirp
| 1
| 4.339844
| null | 57
| 0.086434
|
Calculate the compound interest: $100 invested at 8.643379696% annual rate for 6 years.
FINAL:
| 164.444595
| 164.444595
|
exponential_interest
| 0
|
chirp
| 1
| 4.398438
| null | 58
| 0.077642
|
Calculate the compound interest: $100 invested at 7.764177103% annual rate for 6 years.
FINAL:
| 156.619741
| 156.619741
|
exponential_interest
| 0
|
chirp
| 1
| 4.457031
| null | 59
| 0.079228
|
Calculate the compound interest: $100 invested at 7.922844455% annual rate for 6 years.
FINAL:
| 158.008445
| 158.008445
|
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