Datasets:
cognitive-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
chirp
1
3.8125
null
48
4
Solve this system for x: 3.999999999999998x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
chirp
1
3.871094
null
49
4.167645
Solve this system for x: 4.167644941110972x + 1y = 10 2x + 4y = 12 FINAL:
1.908582
1.908582
linear_system
2
chirp
1
3.929688
null
50
4.199759
Solve this system for x: 4.1997590912410345x + 1y = 10 2x + 4y = 12 FINAL:
1.892015
1.892015
linear_system
2
chirp
1
3.988281
null
51
4.190661
Solve this system for x: 4.190661208070837x + 1y = 10 2x + 4y = 12 FINAL:
1.896679
1.896679
linear_system
2
chirp
1
4.046875
null
52
4.196157
Solve this system for x: 4.196157056080644x + 1y = 10 2x + 4y = 12 FINAL:
1.893859
1.893859
linear_system
2
chirp
1
4.105469
null
53
4.192086
Solve this system for x: 4.192086103883114x + 1y = 10 2x + 4y = 12 FINAL:
1.895947
1.895947
linear_system
2
chirp
1
4.164063
null
54
4.085511
Solve this system for x: 4.085511018686058x + 1y = 10 2x + 4y = 12 FINAL:
1.952302
1.952302
linear_system
2
chirp
1
4.222656
null
55
3.860325
Solve this system for x: 3.8603247501182105x + 1y = 10 2x + 4y = 12 FINAL:
2.083132
2.083132
linear_system
2
chirp
1
4.28125
null
56
3.858579
Solve this system for x: 3.858578643762678x + 1y = 10 2x + 4y = 12 FINAL:
2.084215
2.084215
linear_system
2
chirp
1
4.339844
null
57
4.183823
Solve this system for x: 4.183822770338007x + 1y = 10 2x + 4y = 12 FINAL:
1.9002
1.9002
linear_system
2
chirp
1
4.398438
null
58
3.932622
Solve this system for x: 3.932622029321569x + 1y = 10 2x + 4y = 12 FINAL:
2.039257
2.039257
linear_system
2
chirp
1
4.457031
null
59
3.977956
Solve this system for x: 3.9779555585412245x + 1y = 10 2x + 4y = 12 FINAL:
2.012677
2.012677
linear_system
2
chirp
1
4.515625
null
60
4.039018
Solve this system for x: 4.039018064403216x + 1y = 10 2x + 4y = 12 FINAL:
1.97795
1.97795
linear_system
2
chirp
1
4.574219
null
61
4.017159
Solve this system for x: 4.0171594624689x + 1y = 10 2x + 4y = 12 FINAL:
1.990242
1.990242
linear_system
2
chirp
1
4.632813
null
62
3.865688
Solve this system for x: 3.8656882090306075x + 1y = 10 2x + 4y = 12 FINAL:
2.079812
2.079812
linear_system
2
chirp
1
4.691406
null
63
4.196621
Solve this system for x: 4.196621097486248x + 1y = 10 2x + 4y = 12 FINAL:
1.893621
1.893621
linear_system
2
chirp
1
4.75
null
64
4
Solve this system for x: 3.9999999999999796x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
chirp
1
4.808594
null
65
3.803379
Solve this system for x: 3.803378902513757x + 1y = 10 2x + 4y = 12 FINAL:
2.119042
2.119042
linear_system
2
chirp
1
4.867188
null
66
3.865688
Solve this system for x: 3.865688209030601x + 1y = 10 2x + 4y = 12 FINAL:
2.079812
2.079812
linear_system
2
chirp
1
4.925781
null
67
3.982841
Solve this system for x: 3.9828405375311093x + 1y = 10 2x + 4y = 12 FINAL:
2.009854
2.009854
linear_system
2
chirp
1
4.984375
null
68
4.039018
Solve this system for x: 4.039018064403243x + 1y = 10 2x + 4y = 12 FINAL:
1.97795
1.97795
linear_system
2
chirp
1
5.042969
null
69
4.022044
Solve this system for x: 4.022044441458799x + 1y = 10 2x + 4y = 12 FINAL:
1.987482
1.987482
linear_system
2
chirp
1
5.101563
null
70
3.932622
Solve this system for x: 3.932622029321565x + 1y = 10 2x + 4y = 12 FINAL:
2.039257
2.039257
linear_system
2
chirp
1
5.160156
null
71
3.816177
Solve this system for x: 3.816177229661999x + 1y = 10 2x + 4y = 12 FINAL:
2.110864
2.110864
linear_system
2
chirp
1
5.21875
null
72
3.858579
Solve this system for x: 3.8585786437626712x + 1y = 10 2x + 4y = 12 FINAL:
2.084215
2.084215
linear_system
2
chirp
1
5.277344
null
73
4.139675
Solve this system for x: 4.139675249881786x + 1y = 10 2x + 4y = 12 FINAL:
1.923249
1.923249
linear_system
2
chirp
1
5.335938
null
74
4.085511
Solve this system for x: 4.08551101868608x + 1y = 10 2x + 4y = 12 FINAL:
1.952302
1.952302
linear_system
2
chirp
1
5.394531
null
75
3.807914
Solve this system for x: 3.8079138961168804x + 1y = 10 2x + 4y = 12 FINAL:
2.116137
2.116137
linear_system
2
chirp
1
5.453125
null
76
4.196157
Solve this system for x: 4.196157056080645x + 1y = 10 2x + 4y = 12 FINAL:
1.893859
1.893859
linear_system
2
chirp
1
5.511719
null
77
3.809339
Solve this system for x: 3.8093387919291657x + 1y = 10 2x + 4y = 12 FINAL:
2.115226
2.115226
linear_system
2
chirp
1
5.570313
null
78
4.199759
Solve this system for x: 4.199759091241034x + 1y = 10 2x + 4y = 12 FINAL:
1.892015
1.892015
linear_system
2
chirp
1
5.628906
null
79
3.832355
Solve this system for x: 3.8323550588890147x + 1y = 10 2x + 4y = 12 FINAL:
2.100616
2.100616
linear_system
2
chirp
1
5.6875
null
80
4
Solve this system for x: 3.999999999999994x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
chirp
1
5.746094
null
81
4.195663
Solve this system for x: 4.195663474143919x + 1y = 10 2x + 4y = 12 FINAL:
1.894112
1.894112
linear_system
2
chirp
1
5.804688
null
82
3.990186
Solve this system for x: 3.990186465134512x + 1y = 10 2x + 4y = 12 FINAL:
2.005624
2.005624
linear_system
2
chirp
1
5.863281
null
83
3.822472
Solve this system for x: 3.8224720759194253x + 1y = 10 2x + 4y = 12 FINAL:
2.106865
2.106865
linear_system
2
chirp
1
5.921875
null
84
3.803843
Solve this system for x: 3.8038429439193533x + 1y = 10 2x + 4y = 12 FINAL:
2.118745
2.118745
linear_system
2
chirp
1
5.980469
null
85
3.824786
Solve this system for x: 3.824785981160925x + 1y = 10 2x + 4y = 12 FINAL:
2.105399
2.105399
linear_system
2
chirp
1
6.039063
null
86
3.819202
Solve this system for x: 3.819202141375317x + 1y = 10 2x + 4y = 12 FINAL:
2.108941
2.108941
linear_system
2
chirp
1
6.097656
null
87
3.800015
Solve this system for x: 3.800015059632171x + 1y = 10 2x + 4y = 12 FINAL:
2.121202
2.121202
linear_system
2
chirp
1
6.15625
null
88
3.858579
Solve this system for x: 3.858578643762683x + 1y = 10 2x + 4y = 12 FINAL:
2.084215
2.084215
linear_system
2
chirp
1
6.214844
null
89
4.074263
Solve this system for x: 4.074263438790361x + 1y = 10 2x + 4y = 12 FINAL:
1.958445
1.958445
linear_system
2
chirp
1
6.273438
null
90
4.188309
Solve this system for x: 4.1883088130366x + 1y = 10 2x + 4y = 12 FINAL:
1.897889
1.897889
linear_system
2
chirp
1
6.332031
null
91
3.875028
Solve this system for x: 3.8750281023715214x + 1y = 10 2x + 4y = 12 FINAL:
2.074057
2.074057
linear_system
2
chirp
1
6.390625
null
92
3.960982
Solve this system for x: 3.9609819355967373x + 1y = 10 2x + 4y = 12 FINAL:
2.022547
2.022547
linear_system
2
chirp
1
6.449219
null
93
4.128766
Solve this system for x: 4.12876630857797x + 1y = 10 2x + 4y = 12 FINAL:
1.92903
1.92903
linear_system
2
chirp
1
6.507813
null
94
3.85181
Solve this system for x: 3.8518097749289932x + 1y = 10 2x + 4y = 12 FINAL:
2.088424
2.088424
linear_system
2
chirp
1
6.566406
null
95
4.113146
Solve this system for x: 4.113146362156771x + 1y = 10 2x + 4y = 12 FINAL:
1.93737
1.93737
linear_system
2
chirp
1
6.625
null
96
4
Solve this system for x: 3.999999999999968x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
chirp
1
6.683594
null
97
3.835082
Solve this system for x: 3.8350821394430152x + 1y = 10 2x + 4y = 12 FINAL:
2.098899
2.098899
linear_system
2
chirp
1
6.742188
null
98
4.14819
Solve this system for x: 4.148190225070977x + 1y = 10 2x + 4y = 12 FINAL:
1.91876
1.91876
linear_system
2
chirp
1
6.800781
null
99
4.153033
Solve this system for x: 4.153033453124467x + 1y = 10 2x + 4y = 12 FINAL:
1.916216
1.916216
linear_system
2
chirp
1
6.859375
null
100
3.960982
Solve this system for x: 3.960981935596736x + 1y = 10 2x + 4y = 12 FINAL:
2.022547
2.022547
linear_system
2
chirp
1
6.917969
null
101
3.843853
Solve this system for x: 3.8438525542855952x + 1y = 10 2x + 4y = 12 FINAL:
2.093394
2.093394
linear_system
2
chirp
1
6.976563
null
102
3.811691
Solve this system for x: 3.8116911869633836x + 1y = 10 2x + 4y = 12 FINAL:
2.113724
2.113724
linear_system
2
chirp
1
7.035156
null
103
3.814299
Solve this system for x: 3.8142987839053446x + 1y = 10 2x + 4y = 12 FINAL:
2.112061
2.112061
linear_system
2
chirp
1
7.09375
null
104
3.858579
Solve this system for x: 3.858578643762649x + 1y = 10 2x + 4y = 12 FINAL:
2.084215
2.084215
linear_system
2
chirp
1
7.152344
null
105
3.997546
Solve this system for x: 3.9975456923428334x + 1y = 10 2x + 4y = 12 FINAL:
2.001403
2.001403
linear_system
2
chirp
1
7.210938
null
106
4.180798
Solve this system for x: 4.180797858624682x + 1y = 10 2x + 4y = 12 FINAL:
1.901762
1.901762
linear_system
2
chirp
1
7.269531
null
107
4.096437
Solve this system for x: 4.096436754415858x + 1y = 10 2x + 4y = 12 FINAL:
1.946371
1.946371
linear_system
2
chirp
1
7.328125
null
108
3.803843
Solve this system for x: 3.8038429439193537x + 1y = 10 2x + 4y = 12 FINAL:
2.118745
2.118745
linear_system
2
chirp
1
7.386719
null
109
4.092108
Solve this system for x: 4.092107742191657x + 1y = 10 2x + 4y = 12 FINAL:
1.948717
1.948717
linear_system
2
chirp
1
7.445313
null
110
4.009814
Solve this system for x: 4.009813534865493x + 1y = 10 2x + 4y = 12 FINAL:
1.994408
1.994408
linear_system
2
chirp
1
7.503906
null
111
3.958578
Solve this system for x: 3.9585777247615x + 1y = 10 2x + 4y = 12 FINAL:
2.023953
2.023953
linear_system
2
chirp
1
7.5625
null
112
4
Solve this system for x: 4.000000000000044x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
chirp
1
7.621094
null
113
4.109065
Solve this system for x: 4.109064997684359x + 1y = 10 2x + 4y = 12 FINAL:
1.939561
1.939561
linear_system
2
chirp
1
7.679688
null
114
3.800241
Solve this system for x: 3.8002409087589664x + 1y = 10 2x + 4y = 12 FINAL:
2.121057
2.121057
linear_system
2
chirp
1
7.738281
null
115
4.060401
Solve this system for x: 4.0604011898638435x + 1y = 10 2x + 4y = 12 FINAL:
1.966071
1.966071
linear_system
2
chirp
1
7.796875
null
116
4.196157
Solve this system for x: 4.1961570560806445x + 1y = 10 2x + 4y = 12 FINAL:
1.893859
1.893859
linear_system
2
chirp
1
7.855469
null
117
4.055704
Solve this system for x: 4.05570393787696x + 1y = 10 2x + 4y = 12 FINAL:
1.968668
1.968668
linear_system
2
chirp
1
7.914063
null
118
3.914489
Solve this system for x: 3.9144889813139145x + 1y = 10 2x + 4y = 12 FINAL:
2.050087
2.050087
linear_system
2
chirp
1
7.972656
null
119
3.856854
Solve this system for x: 3.856853834943207x + 1y = 10 2x + 4y = 12 FINAL:
2.085286
2.085286
linear_system
2
chirp
1
8.03125
null
120
3.858579
Solve this system for x: 3.8585786437626983x + 1y = 10 2x + 4y = 12 FINAL:
2.084215
2.084215
linear_system
2
chirp
1
8.089844
null
121
3.921202
Solve this system for x: 3.9212015919877383x + 1y = 10 2x + 4y = 12 FINAL:
2.046065
2.046065
linear_system
2
chirp
1
8.148438
null
122
4.067378
Solve this system for x: 4.067377970678385x + 1y = 10 2x + 4y = 12 FINAL:
1.962225
1.962225
linear_system
2
chirp
1
8.207031
null
123
4.198781
Solve this system for x: 4.198781394000471x + 1y = 10 2x + 4y = 12 FINAL:
1.892515
1.892515
linear_system
2
chirp
1
8.265625
null
124
4.039018
Solve this system for x: 4.039018064403296x + 1y = 10 2x + 4y = 12 FINAL:
1.97795
1.97795
linear_system
2
chirp
1
8.324219
null
125
3.800737
Solve this system for x: 3.800737477563438x + 1y = 10 2x + 4y = 12 FINAL:
2.120738
2.120738
linear_system
2
chirp
1
8.382813
null
126
4.134312
Solve this system for x: 4.1343117909693925x + 1y = 10 2x + 4y = 12 FINAL:
1.926087
1.926087
linear_system
2
chirp
1
8.441406
null
127
3.963392
Solve this system for x: 3.963392022408957x + 1y = 10 2x + 4y = 12 FINAL:
2.02114
2.02114
linear_system
2
chirp
1
8.5
null
128
4
Solve this system for x: 3.999999999999925x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
chirp
1
8.558594
null
129
3.963392
Solve this system for x: 3.9633920224089842x + 1y = 10 2x + 4y = 12 FINAL:
2.02114
2.02114
linear_system
2
chirp
1
8.617188
null
130
4.134312
Solve this system for x: 4.134311790969352x + 1y = 10 2x + 4y = 12 FINAL:
1.926087
1.926087
linear_system
2
chirp
1
8.675781
null
131
3.800737
Solve this system for x: 3.800737477563439x + 1y = 10 2x + 4y = 12 FINAL:
2.120738
2.120738
linear_system
2
chirp
1
8.734375
null
132
4.039018
Solve this system for x: 4.039018064403226x + 1y = 10 2x + 4y = 12 FINAL:
1.97795
1.97795
linear_system
2
chirp
1
8.792969
null
133
4.198781
Solve this system for x: 4.1987813940004655x + 1y = 10 2x + 4y = 12 FINAL:
1.892515
1.892515
linear_system
2
chirp
1
8.851563
null
134
4.067378
Solve this system for x: 4.067377970678399x + 1y = 10 2x + 4y = 12 FINAL:
1.962225
1.962225
linear_system
2
chirp
1
8.910156
null
135
3.921202
Solve this system for x: 3.92120159198781x + 1y = 10 2x + 4y = 12 FINAL:
2.046065
2.046065
linear_system
2
chirp
1
8.96875
null
136
3.858579
Solve this system for x: 3.8585786437626695x + 1y = 10 2x + 4y = 12 FINAL:
2.084215
2.084215
linear_system
2
chirp
1
9.027344
null
137
3.856854
Solve this system for x: 3.856853834943223x + 1y = 10 2x + 4y = 12 FINAL:
2.085286
2.085286
linear_system
2
chirp
1
9.085938
null
138
3.914489
Solve this system for x: 3.914488981313992x + 1y = 10 2x + 4y = 12 FINAL:
2.050087
2.050087
linear_system
2
chirp
1
9.144531
null
139
4.055704
Solve this system for x: 4.055703937877016x + 1y = 10 2x + 4y = 12 FINAL:
1.968668
1.968668
linear_system
2
chirp
1
9.203125
null
140
4.196157
Solve this system for x: 4.19615705608065x + 1y = 10 2x + 4y = 12 FINAL:
1.893859
1.893859
linear_system
2
chirp
1
9.261719
null
141
4.060401
Solve this system for x: 4.060401189863928x + 1y = 10 2x + 4y = 12 FINAL:
1.966071
1.966071
linear_system
2
chirp
1
9.320313
null
142
3.800241
Solve this system for x: 3.800240908758963x + 1y = 10 2x + 4y = 12 FINAL:
2.121057
2.121057
linear_system
2
chirp
1
9.378906
null
143
4.109065
Solve this system for x: 4.109064997684314x + 1y = 10 2x + 4y = 12 FINAL:
1.939561
1.939561
linear_system
2
chirp
1
9.4375
null
144
4
Solve this system for x: 4.000000000000035x + 1y = 10 2x + 4y = 12 FINAL:
2
2
linear_system
2
chirp
1
9.496094
null
145
3.958578
Solve this system for x: 3.958577724761482x + 1y = 10 2x + 4y = 12 FINAL:
2.023953
2.023953
linear_system
2
chirp
1
9.554688
null
146
4.009814
Solve this system for x: 4.009813534865539x + 1y = 10 2x + 4y = 12 FINAL:
1.994408
1.994408
linear_system
2
chirp
1
9.613281
null
147
4.092108
Solve this system for x: 4.092107742191672x + 1y = 10 2x + 4y = 12 FINAL:
1.948717
1.948717