Datasets:
ai-metrology-lab
/
MathBode-LinearSystem

Dataset card Data Studio Files
xet
Community
1
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
2
sinusoid
2.5
16
240
24
3.566987
Solve this system for x: 3.5669872981077804x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
16
240
25
3.75
Solve this system for x: 3.750000000000001x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
16
240
26
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
16
240
27
4.25
Solve this system for x: 4.250000000000001x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
16
240
28
3.566987
Solve this system for x: 3.5669872981077804x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
16
240
29
3.75
Solve this system for x: 3.750000000000001x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
16
240
30
4.433013
Solve this system for x: 4.433012701892219x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
16
240
31
4.25
Solve this system for x: 4.250000000000001x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
16
240
32
3.566987
Solve this system for x: 3.5669872981077804x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
16
240
33
3.75
Solve this system for x: 3.750000000000001x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
16
240
34
4.433013
Solve this system for x: 4.4330127018922205x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
16
240
35
4.25
Solve this system for x: 4.250000000000001x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
16
240
36
3.566987
Solve this system for x: 3.566987298107781x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
16
240
37
3.75
Solve this system for x: 3.750000000000001x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
16
240
38
4.433013
Solve this system for x: 4.433012701892219x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
16
240
39
4.25
Solve this system for x: 4.250000000000001x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
16
240
40
3.566987
Solve this system for x: 3.5669872981077826x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
16
240
41
3.75
Solve this system for x: 3.7499999999999947x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
16
240
42
4.433013
Solve this system for x: 4.433012701892219x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
16
240
43
4.25
Solve this system for x: 4.250000000000004x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
16
240
44
3.566987
Solve this system for x: 3.5669872981077844x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
16
240
45
3.75
Solve this system for x: 3.7499999999999973x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
16
240
46
4.433013
Solve this system for x: 4.433012701892217x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
16
240
47
4.25
Solve this system for x: 4.250000000000001x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
16
240
48
3.566987
Solve this system for x: 3.5669872981077826x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
16
240
49
3.75
Solve this system for x: 3.7499999999999942x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
16
240
50
4.433013
Solve this system for x: 4.433012701892218x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
16
240
51
4.25
Solve this system for x: 4.250000000000004x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
16
240
52
3.566987
Solve this system for x: 3.566987298107781x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
16
240
53
3.75
Solve this system for x: 3.7499999999999973x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
16
240
54
4.433013
Solve this system for x: 4.433012701892216x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
16
240
55
4.25
Solve this system for x: 4.250000000000001x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
16
240
56
3.566987
Solve this system for x: 3.5669872981077826x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
16
240
57
3.75
Solve this system for x: 3.7499999999999942x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
16
240
58
4.433013
Solve this system for x: 4.433012701892218x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
16
240
59
4.25
Solve this system for x: 4.250000000000004x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
16
240
60
3.566987
Solve this system for x: 3.566987298107785x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
16
240
61
3.75
Solve this system for x: 3.749999999999997x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
16
240
62
4.433013
Solve this system for x: 4.433012701892216x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
16
240
63
4.25
Solve this system for x: 4.250000000000002x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
0
chirp
1
1
null
0
4
Solve this system for x: 4.0x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
1.058594
null
1
4.036608
Solve this system for x: 4.036607977591028x + 1y = 7 1x + 5y = 11 FINAL:
1.251105
1.251105
linear_system
0
chirp
1
1.117188
null
2
4.134312
Solve this system for x: 4.134311790969403x + 1y = 7 1x + 5y = 11 FINAL:
1.220035
1.220035
linear_system
0
chirp
1
1.175781
null
3
4.199263
Solve this system for x: 4.199262522436555x + 1y = 7 1x + 5y = 11 FINAL:
1.200221
1.200221
linear_system
0
chirp
1
1.234375
null
4
4.039018
Solve this system for x: 4.039018064403225x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
chirp
1
1.292969
null
5
3.801219
Solve this system for x: 3.8012186059995288x + 1y = 7 1x + 5y = 11 FINAL:
1.332882
1.332882
linear_system
0
chirp
1
1.351563
null
6
4.067378
Solve this system for x: 4.067377970678444x + 1y = 7 1x + 5y = 11 FINAL:
1.241151
1.241151
linear_system
0
chirp
1
1.410156
null
7
4.078798
Solve this system for x: 4.078798408012211x + 1y = 7 1x + 5y = 11 FINAL:
1.237497
1.237497
linear_system
0
chirp
1
1.46875
null
8
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
1.527344
null
9
4.143146
Solve this system for x: 4.143146165056764x + 1y = 7 1x + 5y = 11 FINAL:
1.217302
1.217302
linear_system
0
chirp
1
1.585938
null
10
3.914489
Solve this system for x: 3.9144889813139434x + 1y = 7 1x + 5y = 11 FINAL:
1.292237
1.292237
linear_system
0
chirp
1
1.644531
null
11
3.944296
Solve this system for x: 3.9442960621229903x + 1y = 7 1x + 5y = 11 FINAL:
1.28195
1.28195
linear_system
0
chirp
1
1.703125
null
12
4.196157
Solve this system for x: 4.196157056080646x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
chirp
1
1.761719
null
13
3.939599
Solve this system for x: 3.9395988101361543x + 1y = 7 1x + 5y = 11 FINAL:
1.28356
1.28356
linear_system
0
chirp
1
1.820313
null
14
3.800241
Solve this system for x: 3.8002409087589655x + 1y = 7 1x + 5y = 11 FINAL:
1.333244
1.333244
linear_system
0
chirp
1
1.878906
null
15
3.890935
Solve this system for x: 3.890935002315593x + 1y = 7 1x + 5y = 11 FINAL:
1.300483
1.300483
linear_system
0
chirp
1
1.9375
null
16
4
Solve this system for x: 3.999999999999999x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
1.996094
null
17
4.041422
Solve this system for x: 4.041422275238446x + 1y = 7 1x + 5y = 11 FINAL:
1.249537
1.249537
linear_system
0
chirp
1
2.054688
null
18
4.009814
Solve this system for x: 4.009813534865484x + 1y = 7 1x + 5y = 11 FINAL:
1.259904
1.259904
linear_system
0
chirp
1
2.113281
null
19
3.907892
Solve this system for x: 3.9078922578083515x + 1y = 7 1x + 5y = 11 FINAL:
1.294536
1.294536
linear_system
0
chirp
1
2.171875
null
20
3.803843
Solve this system for x: 3.8038429439193537x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
chirp
1
2.230469
null
21
3.903563
Solve this system for x: 3.903563245584176x + 1y = 7 1x + 5y = 11 FINAL:
1.296049
1.296049
linear_system
0
chirp
1
2.289063
null
22
4.180798
Solve this system for x: 4.180797858624688x + 1y = 7 1x + 5y = 11 FINAL:
1.205788
1.205788
linear_system
0
chirp
1
2.347656
null
23
4.002454
Solve this system for x: 4.002454307657147x + 1y = 7 1x + 5y = 11 FINAL:
1.262343
1.262343
linear_system
0
chirp
1
2.40625
null
24
3.858579
Solve this system for x: 3.8585786437626903x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
2.464844
null
25
4.185701
Solve this system for x: 4.185701216094644x + 1y = 7 1x + 5y = 11 FINAL:
1.204305
1.204305
linear_system
0
chirp
1
2.523438
null
26
3.811691
Solve this system for x: 3.811691186963395x + 1y = 7 1x + 5y = 11 FINAL:
1.329017
1.329017
linear_system
0
chirp
1
2.582031
null
27
4.156147
Solve this system for x: 4.156147445714423x + 1y = 7 1x + 5y = 11 FINAL:
1.213302
1.213302
linear_system
0
chirp
1
2.640625
null
28
3.960982
Solve this system for x: 3.9609819355967666x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
chirp
1
2.699219
null
29
3.846967
Solve this system for x: 3.8469665468755103x + 1y = 7 1x + 5y = 11 FINAL:
1.316162
1.316162
linear_system
0
chirp
1
2.757813
null
30
4.14819
Solve this system for x: 4.148190225070995x + 1y = 7 1x + 5y = 11 FINAL:
1.215747
1.215747
linear_system
0
chirp
1
2.816406
null
31
4.164918
Solve this system for x: 4.164917860557003x + 1y = 7 1x + 5y = 11 FINAL:
1.210618
1.210618
linear_system
0
chirp
1
2.875
null
32
4
Solve this system for x: 3.9999999999999942x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
2.933594
null
33
3.886854
Solve this system for x: 3.8868536378432736x + 1y = 7 1x + 5y = 11 FINAL:
1.301923
1.301923
linear_system
0
chirp
1
2.992188
null
34
3.85181
Solve this system for x: 3.8518097749290092x + 1y = 7 1x + 5y = 11 FINAL:
1.314417
1.314417
linear_system
0
chirp
1
3.050781
null
35
3.871234
Solve this system for x: 3.871233691422043x + 1y = 7 1x + 5y = 11 FINAL:
1.307462
1.307462
linear_system
0
chirp
1
3.109375
null
36
3.960982
Solve this system for x: 3.9609819355967697x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
chirp
1
3.167969
null
37
4.124972
Solve this system for x: 4.124971897628472x + 1y = 7 1x + 5y = 11 FINAL:
1.222939
1.222939
linear_system
0
chirp
1
3.226563
null
38
4.188309
Solve this system for x: 4.188308813036605x + 1y = 7 1x + 5y = 11 FINAL:
1.203518
1.203518
linear_system
0
chirp
1
3.285156
null
39
3.925737
Solve this system for x: 3.925736561209639x + 1y = 7 1x + 5y = 11 FINAL:
1.288336
1.288336
linear_system
0
chirp
1
3.34375
null
40
3.858579
Solve this system for x: 3.8585786437626868x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
3.402344
null
41
4.199985
Solve this system for x: 4.199984940367829x + 1y = 7 1x + 5y = 11 FINAL:
1.200005
1.200005
linear_system
0
chirp
1
3.460938
null
42
3.819202
Solve this system for x: 3.8192021413753108x + 1y = 7 1x + 5y = 11 FINAL:
1.326259
1.326259
linear_system
0
chirp
1
3.519531
null
43
4.175214
Solve this system for x: 4.1752140188390845x + 1y = 7 1x + 5y = 11 FINAL:
1.207482
1.207482
linear_system
0
chirp
1
3.578125
null
44
3.803843
Solve this system for x: 3.803842943919353x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
chirp
1
3.636719
null
45
4.177528
Solve this system for x: 4.1775279240805725x + 1y = 7 1x + 5y = 11 FINAL:
1.20678
1.20678
linear_system
0
chirp
1
3.695313
null
46
3.990186
Solve this system for x: 3.9901864651345216x + 1y = 7 1x + 5y = 11 FINAL:
1.266428
1.266428
linear_system
0
chirp
1
3.753906
null
47
3.804337
Solve this system for x: 3.804336525856078x + 1y = 7 1x + 5y = 11 FINAL:
1.331729
1.331729
linear_system
0
chirp
1
3.8125
null
48
4
Solve this system for x: 3.999999999999998x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
3.871094
null
49
4.167645
Solve this system for x: 4.167644941110972x + 1y = 7 1x + 5y = 11 FINAL:
1.209786
1.209786
linear_system
0
chirp
1
3.929688
null
50
4.199759
Solve this system for x: 4.1997590912410345x + 1y = 7 1x + 5y = 11 FINAL:
1.200072
1.200072
linear_system
0
chirp
1
3.988281
null
51
4.190661
Solve this system for x: 4.190661208070837x + 1y = 7 1x + 5y = 11 FINAL:
1.202808
1.202808
linear_system
0
chirp
1
4.046875
null
52
4.196157
Solve this system for x: 4.196157056080644x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
chirp
1
4.105469
null
53
4.192086
Solve this system for x: 4.192086103883114x + 1y = 7 1x + 5y = 11 FINAL:
1.202379
1.202379
linear_system
0
chirp
1
4.164063
null
54
4.085511
Solve this system for x: 4.085511018686058x + 1y = 7 1x + 5y = 11 FINAL:
1.235359
1.235359
linear_system
0
chirp
1
4.222656
null
55
3.860325
Solve this system for x: 3.8603247501182105x + 1y = 7 1x + 5y = 11 FINAL:
1.311359
1.311359
linear_system
0
chirp
1
4.28125
null
56
3.858579
Solve this system for x: 3.858578643762678x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
4.339844
null
57
4.183823
Solve this system for x: 4.183822770338007x + 1y = 7 1x + 5y = 11 FINAL:
1.204873
1.204873
linear_system
0
chirp
1
4.398438
null
58
3.932622
Solve this system for x: 3.932622029321569x + 1y = 7 1x + 5y = 11 FINAL:
1.285959
1.285959
linear_system
0
chirp
1
4.457031
null
59
3.977956
Solve this system for x: 3.9779555585412245x + 1y = 7 1x + 5y = 11 FINAL:
1.270528
1.270528