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
| 1
| 120
| 40
| 0.078188
|
Calculate the compound interest: $200 invested at 7.818826668% annual rate for 5 years.
FINAL:
| 291.409028
| 291.409028
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 41
| 0.07886
|
Calculate the compound interest: $200 invested at 7.885973169% annual rate for 5 years.
FINAL:
| 292.317565
| 292.317565
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 42
| 0.079542
|
Calculate the compound interest: $200 invested at 7.95421781% annual rate for 5 years.
FINAL:
| 293.243282
| 293.243282
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 43
| 0.080229
|
Calculate the compound interest: $200 invested at 8.022903358% annual rate for 5 years.
FINAL:
| 294.177345
| 294.177345
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 44
| 0.080914
|
Calculate the compound interest: $200 invested at 8.091368335% annual rate for 5 years.
FINAL:
| 295.110777
| 295.110777
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 45
| 0.08159
|
Calculate the compound interest: $200 invested at 8.158953384% annual rate for 5 years.
FINAL:
| 296.034534
| 296.034534
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 46
| 0.08225
|
Calculate the compound interest: $200 invested at 8.225007626% annual rate for 5 years.
FINAL:
| 296.939601
| 296.939601
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 47
| 0.082889
|
Calculate the compound interest: $200 invested at 8.288894921% annual rate for 5 years.
FINAL:
| 297.817082
| 297.817082
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 48
| 0.0835
|
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years.
FINAL:
| 298.65829
| 298.65829
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 49
| 0.084077
|
Calculate the compound interest: $200 invested at 8.407734388% annual rate for 5 years.
FINAL:
| 299.45484
| 299.45484
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 50
| 0.084615
|
Calculate the compound interest: $200 invested at 8.461542071% annual rate for 5 years.
FINAL:
| 300.198743
| 300.198743
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 51
| 0.085109
|
Calculate the compound interest: $200 invested at 8.510904851% annual rate for 5 years.
FINAL:
| 300.882494
| 300.882494
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 52
| 0.085553
|
Calculate the compound interest: $200 invested at 8.555347338% annual rate for 5 years.
FINAL:
| 301.499157
| 301.499157
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 53
| 0.085944
|
Calculate the compound interest: $200 invested at 8.594441527% annual rate for 5 years.
FINAL:
| 302.042445
| 302.042445
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 54
| 0.086278
|
Calculate the compound interest: $200 invested at 8.627810919% annual rate for 5 years.
FINAL:
| 302.506795
| 302.506795
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 55
| 0.086551
|
Calculate the compound interest: $200 invested at 8.655134149% annual rate for 5 years.
FINAL:
| 302.887435
| 302.887435
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 56
| 0.086761
|
Calculate the compound interest: $200 invested at 8.676148078% annual rate for 5 years.
FINAL:
| 303.180441
| 303.180441
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 57
| 0.086907
|
Calculate the compound interest: $200 invested at 8.690650332% annual rate for 5 years.
FINAL:
| 303.382784
| 303.382784
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 58
| 0.086985
|
Calculate the compound interest: $200 invested at 8.698501246% annual rate for 5 years.
FINAL:
| 303.492369
| 303.492369
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 59
| 0.086996
|
Calculate the compound interest: $200 invested at 8.699625211% annual rate for 5 years.
FINAL:
| 303.50806
| 303.50806
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 60
| 0.08694
|
Calculate the compound interest: $200 invested at 8.694011403% annual rate for 5 years.
FINAL:
| 303.429695
| 303.429695
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 61
| 0.086817
|
Calculate the compound interest: $200 invested at 8.681713885% annual rate for 5 years.
FINAL:
| 303.258085
| 303.258085
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 62
| 0.086629
|
Calculate the compound interest: $200 invested at 8.662851091% annual rate for 5 years.
FINAL:
| 302.995009
| 302.995009
|
exponential_interest
| 1
|
sinusoid
| 1
| 1
| 120
| 63
| 0.086376
|
Calculate the compound interest: $200 invested at 8.637604677% annual rate for 5 years.
FINAL:
| 302.643188
| 302.643188
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 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
| 2
| 120
| 1
| 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
| 2
| 120
| 2
| 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
| 2
| 120
| 3
| 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
| 2
| 120
| 4
| 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
| 2
| 120
| 5
| 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
| 2
| 120
| 6
| 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
| 2
| 120
| 7
| 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
| 2
| 120
| 8
| 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
| 2
| 120
| 9
| 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
| 2
| 120
| 10
| 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
| 2
| 120
| 11
| 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
| 2
| 120
| 12
| 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
| 2
| 120
| 13
| 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
| 2
| 120
| 14
| 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
| 2
| 120
| 15
| 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
| 2
| 120
| 16
| 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
| 2
| 120
| 17
| 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
| 2
| 120
| 18
| 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
| 2
| 120
| 19
| 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
| 2
| 120
| 20
| 0.078188
|
Calculate the compound interest: $200 invested at 7.818826668% annual rate for 5 years.
FINAL:
| 291.409028
| 291.409028
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 21
| 0.079542
|
Calculate the compound interest: $200 invested at 7.95421781% annual rate for 5 years.
FINAL:
| 293.243282
| 293.243282
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 22
| 0.080914
|
Calculate the compound interest: $200 invested at 8.091368335% annual rate for 5 years.
FINAL:
| 295.110777
| 295.110777
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 23
| 0.08225
|
Calculate the compound interest: $200 invested at 8.225007626% annual rate for 5 years.
FINAL:
| 296.939601
| 296.939601
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 24
| 0.0835
|
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years.
FINAL:
| 298.65829
| 298.65829
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 25
| 0.084615
|
Calculate the compound interest: $200 invested at 8.461542071% annual rate for 5 years.
FINAL:
| 300.198743
| 300.198743
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 26
| 0.085553
|
Calculate the compound interest: $200 invested at 8.555347338% annual rate for 5 years.
FINAL:
| 301.499157
| 301.499157
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 27
| 0.086278
|
Calculate the compound interest: $200 invested at 8.627810919% annual rate for 5 years.
FINAL:
| 302.506795
| 302.506795
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 28
| 0.086761
|
Calculate the compound interest: $200 invested at 8.676148078% annual rate for 5 years.
FINAL:
| 303.180441
| 303.180441
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 29
| 0.086985
|
Calculate the compound interest: $200 invested at 8.698501246% annual rate for 5 years.
FINAL:
| 303.492369
| 303.492369
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 30
| 0.08694
|
Calculate the compound interest: $200 invested at 8.694011403% annual rate for 5 years.
FINAL:
| 303.429695
| 303.429695
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 31
| 0.086629
|
Calculate the compound interest: $200 invested at 8.662851091% annual rate for 5 years.
FINAL:
| 302.995009
| 302.995009
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 32
| 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
| 2
| 120
| 33
| 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
| 2
| 120
| 34
| 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
| 2
| 120
| 35
| 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
| 2
| 120
| 36
| 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
| 2
| 120
| 37
| 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
| 2
| 120
| 38
| 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
| 2
| 120
| 39
| 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
| 2
| 120
| 40
| 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
| 2
| 120
| 41
| 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
| 2
| 120
| 42
| 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
| 2
| 120
| 43
| 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
| 2
| 120
| 44
| 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
| 2
| 120
| 45
| 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
| 2
| 120
| 46
| 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
| 2
| 120
| 47
| 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
| 2
| 120
| 48
| 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
| 2
| 120
| 49
| 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
| 2
| 120
| 50
| 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
| 2
| 120
| 51
| 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
| 2
| 120
| 52
| 0.078188
|
Calculate the compound interest: $200 invested at 7.818826668% annual rate for 5 years.
FINAL:
| 291.409028
| 291.409028
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 53
| 0.079542
|
Calculate the compound interest: $200 invested at 7.95421781% annual rate for 5 years.
FINAL:
| 293.243282
| 293.243282
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 54
| 0.080914
|
Calculate the compound interest: $200 invested at 8.091368335% annual rate for 5 years.
FINAL:
| 295.110777
| 295.110777
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 55
| 0.08225
|
Calculate the compound interest: $200 invested at 8.225007626% annual rate for 5 years.
FINAL:
| 296.939601
| 296.939601
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 56
| 0.0835
|
Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years.
FINAL:
| 298.65829
| 298.65829
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 57
| 0.084615
|
Calculate the compound interest: $200 invested at 8.461542071% annual rate for 5 years.
FINAL:
| 300.198743
| 300.198743
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 58
| 0.085553
|
Calculate the compound interest: $200 invested at 8.555347338% annual rate for 5 years.
FINAL:
| 301.499157
| 301.499157
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 59
| 0.086278
|
Calculate the compound interest: $200 invested at 8.627810919% annual rate for 5 years.
FINAL:
| 302.506795
| 302.506795
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 60
| 0.086761
|
Calculate the compound interest: $200 invested at 8.676148078% annual rate for 5 years.
FINAL:
| 303.180441
| 303.180441
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 61
| 0.086985
|
Calculate the compound interest: $200 invested at 8.698501246% annual rate for 5 years.
FINAL:
| 303.492369
| 303.492369
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 62
| 0.08694
|
Calculate the compound interest: $200 invested at 8.694011403% annual rate for 5 years.
FINAL:
| 303.429695
| 303.429695
|
exponential_interest
| 1
|
sinusoid
| 1
| 2
| 120
| 63
| 0.086629
|
Calculate the compound interest: $200 invested at 8.662851091% annual rate for 5 years.
FINAL:
| 302.995009
| 302.995009
|
exponential_interest
| 1
|
sinusoid
| 1
| 4
| 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
| 4
| 120
| 1
| 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
| 4
| 120
| 2
| 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
| 4
| 120
| 3
| 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
| 4
| 120
| 4
| 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
| 4
| 120
| 5
| 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
| 4
| 120
| 6
| 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
| 4
| 120
| 7
| 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
| 4
| 120
| 8
| 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
| 4
| 120
| 9
| 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
| 4
| 120
| 10
| 0.078188
|
Calculate the compound interest: $200 invested at 7.818826668% annual rate for 5 years.
FINAL:
| 291.409028
| 291.409028
|
exponential_interest
| 1
|
sinusoid
| 1
| 4
| 120
| 11
| 0.080914
|
Calculate the compound interest: $200 invested at 8.091368335% annual rate for 5 years.
FINAL:
| 295.110777
| 295.110777
|
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