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
0
chirp
1
4.515625
null
60
4.039018
Solve this system for x: 4.039018064403216x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
chirp
1
4.574219
null
61
4.017159
Solve this system for x: 4.0171594624689x + 1y = 7 1x + 5y = 11 FINAL:
1.25748
1.25748
linear_system
0
chirp
1
4.632813
null
62
3.865688
Solve this system for x: 3.8656882090306075x + 1y = 7 1x + 5y = 11 FINAL:
1.30944
1.30944
linear_system
0
chirp
1
4.691406
null
63
4.196621
Solve this system for x: 4.196621097486248x + 1y = 7 1x + 5y = 11 FINAL:
1.201015
1.201015
linear_system
0
chirp
1
4.75
null
64
4
Solve this system for x: 3.9999999999999796x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
4.808594
null
65
3.803379
Solve this system for x: 3.803378902513757x + 1y = 7 1x + 5y = 11 FINAL:
1.332083
1.332083
linear_system
0
chirp
1
4.867188
null
66
3.865688
Solve this system for x: 3.865688209030601x + 1y = 7 1x + 5y = 11 FINAL:
1.30944
1.30944
linear_system
0
chirp
1
4.925781
null
67
3.982841
Solve this system for x: 3.9828405375311093x + 1y = 7 1x + 5y = 11 FINAL:
1.268888
1.268888
linear_system
0
chirp
1
4.984375
null
68
4.039018
Solve this system for x: 4.039018064403243x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
chirp
1
5.042969
null
69
4.022044
Solve this system for x: 4.022044441458799x + 1y = 7 1x + 5y = 11 FINAL:
1.255872
1.255872
linear_system
0
chirp
1
5.101563
null
70
3.932622
Solve this system for x: 3.932622029321565x + 1y = 7 1x + 5y = 11 FINAL:
1.285959
1.285959
linear_system
0
chirp
1
5.160156
null
71
3.816177
Solve this system for x: 3.816177229661999x + 1y = 7 1x + 5y = 11 FINAL:
1.327369
1.327369
linear_system
0
chirp
1
5.21875
null
72
3.858579
Solve this system for x: 3.8585786437626712x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
5.277344
null
73
4.139675
Solve this system for x: 4.139675249881786x + 1y = 7 1x + 5y = 11 FINAL:
1.218375
1.218375
linear_system
0
chirp
1
5.335938
null
74
4.085511
Solve this system for x: 4.08551101868608x + 1y = 7 1x + 5y = 11 FINAL:
1.235359
1.235359
linear_system
0
chirp
1
5.394531
null
75
3.807914
Solve this system for x: 3.8079138961168804x + 1y = 7 1x + 5y = 11 FINAL:
1.330409
1.330409
linear_system
0
chirp
1
5.453125
null
76
4.196157
Solve this system for x: 4.196157056080645x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
chirp
1
5.511719
null
77
3.809339
Solve this system for x: 3.8093387919291657x + 1y = 7 1x + 5y = 11 FINAL:
1.329883
1.329883
linear_system
0
chirp
1
5.570313
null
78
4.199759
Solve this system for x: 4.199759091241034x + 1y = 7 1x + 5y = 11 FINAL:
1.200072
1.200072
linear_system
0
chirp
1
5.628906
null
79
3.832355
Solve this system for x: 3.8323550588890147x + 1y = 7 1x + 5y = 11 FINAL:
1.321457
1.321457
linear_system
0
chirp
1
5.6875
null
80
4
Solve this system for x: 3.999999999999994x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
5.746094
null
81
4.195663
Solve this system for x: 4.195663474143919x + 1y = 7 1x + 5y = 11 FINAL:
1.201302
1.201302
linear_system
0
chirp
1
5.804688
null
82
3.990186
Solve this system for x: 3.990186465134512x + 1y = 7 1x + 5y = 11 FINAL:
1.266428
1.266428
linear_system
0
chirp
1
5.863281
null
83
3.822472
Solve this system for x: 3.8224720759194253x + 1y = 7 1x + 5y = 11 FINAL:
1.325062
1.325062
linear_system
0
chirp
1
5.921875
null
84
3.803843
Solve this system for x: 3.8038429439193533x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
chirp
1
5.980469
null
85
3.824786
Solve this system for x: 3.824785981160925x + 1y = 7 1x + 5y = 11 FINAL:
1.324216
1.324216
linear_system
0
chirp
1
6.039063
null
86
3.819202
Solve this system for x: 3.819202141375317x + 1y = 7 1x + 5y = 11 FINAL:
1.326259
1.326259
linear_system
0
chirp
1
6.097656
null
87
3.800015
Solve this system for x: 3.800015059632171x + 1y = 7 1x + 5y = 11 FINAL:
1.333328
1.333328
linear_system
0
chirp
1
6.15625
null
88
3.858579
Solve this system for x: 3.858578643762683x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
6.214844
null
89
4.074263
Solve this system for x: 4.074263438790361x + 1y = 7 1x + 5y = 11 FINAL:
1.238945
1.238945
linear_system
0
chirp
1
6.273438
null
90
4.188309
Solve this system for x: 4.1883088130366x + 1y = 7 1x + 5y = 11 FINAL:
1.203518
1.203518
linear_system
0
chirp
1
6.332031
null
91
3.875028
Solve this system for x: 3.8750281023715214x + 1y = 7 1x + 5y = 11 FINAL:
1.306112
1.306112
linear_system
0
chirp
1
6.390625
null
92
3.960982
Solve this system for x: 3.9609819355967373x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
chirp
1
6.449219
null
93
4.128766
Solve this system for x: 4.12876630857797x + 1y = 7 1x + 5y = 11 FINAL:
1.221758
1.221758
linear_system
0
chirp
1
6.507813
null
94
3.85181
Solve this system for x: 3.8518097749289932x + 1y = 7 1x + 5y = 11 FINAL:
1.314417
1.314417
linear_system
0
chirp
1
6.566406
null
95
4.113146
Solve this system for x: 4.113146362156771x + 1y = 7 1x + 5y = 11 FINAL:
1.226634
1.226634
linear_system
0
chirp
1
6.625
null
96
4
Solve this system for x: 3.999999999999968x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
6.683594
null
97
3.835082
Solve this system for x: 3.8350821394430152x + 1y = 7 1x + 5y = 11 FINAL:
1.320465
1.320465
linear_system
0
chirp
1
6.742188
null
98
4.14819
Solve this system for x: 4.148190225070977x + 1y = 7 1x + 5y = 11 FINAL:
1.215747
1.215747
linear_system
0
chirp
1
6.800781
null
99
4.153033
Solve this system for x: 4.153033453124467x + 1y = 7 1x + 5y = 11 FINAL:
1.214257
1.214257
linear_system
0
chirp
1
6.859375
null
100
3.960982
Solve this system for x: 3.960981935596736x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
chirp
1
6.917969
null
101
3.843853
Solve this system for x: 3.8438525542855952x + 1y = 7 1x + 5y = 11 FINAL:
1.317287
1.317287
linear_system
0
chirp
1
6.976563
null
102
3.811691
Solve this system for x: 3.8116911869633836x + 1y = 7 1x + 5y = 11 FINAL:
1.329017
1.329017
linear_system
0
chirp
1
7.035156
null
103
3.814299
Solve this system for x: 3.8142987839053446x + 1y = 7 1x + 5y = 11 FINAL:
1.328058
1.328058
linear_system
0
chirp
1
7.09375
null
104
3.858579
Solve this system for x: 3.858578643762649x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
7.152344
null
105
3.997546
Solve this system for x: 3.9975456923428334x + 1y = 7 1x + 5y = 11 FINAL:
1.263974
1.263974
linear_system
0
chirp
1
7.210938
null
106
4.180798
Solve this system for x: 4.180797858624682x + 1y = 7 1x + 5y = 11 FINAL:
1.205788
1.205788
linear_system
0
chirp
1
7.269531
null
107
4.096437
Solve this system for x: 4.096436754415858x + 1y = 7 1x + 5y = 11 FINAL:
1.231895
1.231895
linear_system
0
chirp
1
7.328125
null
108
3.803843
Solve this system for x: 3.8038429439193537x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
chirp
1
7.386719
null
109
4.092108
Solve this system for x: 4.092107742191657x + 1y = 7 1x + 5y = 11 FINAL:
1.233265
1.233265
linear_system
0
chirp
1
7.445313
null
110
4.009814
Solve this system for x: 4.009813534865493x + 1y = 7 1x + 5y = 11 FINAL:
1.259904
1.259904
linear_system
0
chirp
1
7.503906
null
111
3.958578
Solve this system for x: 3.9585777247615x + 1y = 7 1x + 5y = 11 FINAL:
1.277079
1.277079
linear_system
0
chirp
1
7.5625
null
112
4
Solve this system for x: 4.000000000000044x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
7.621094
null
113
4.109065
Solve this system for x: 4.109064997684359x + 1y = 7 1x + 5y = 11 FINAL:
1.227915
1.227915
linear_system
0
chirp
1
7.679688
null
114
3.800241
Solve this system for x: 3.8002409087589664x + 1y = 7 1x + 5y = 11 FINAL:
1.333244
1.333244
linear_system
0
chirp
1
7.738281
null
115
4.060401
Solve this system for x: 4.0604011898638435x + 1y = 7 1x + 5y = 11 FINAL:
1.243394
1.243394
linear_system
0
chirp
1
7.796875
null
116
4.196157
Solve this system for x: 4.1961570560806445x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
chirp
1
7.855469
null
117
4.055704
Solve this system for x: 4.05570393787696x + 1y = 7 1x + 5y = 11 FINAL:
1.244909
1.244909
linear_system
0
chirp
1
7.914063
null
118
3.914489
Solve this system for x: 3.9144889813139145x + 1y = 7 1x + 5y = 11 FINAL:
1.292237
1.292237
linear_system
0
chirp
1
7.972656
null
119
3.856854
Solve this system for x: 3.856853834943207x + 1y = 7 1x + 5y = 11 FINAL:
1.312604
1.312604
linear_system
0
chirp
1
8.03125
null
120
3.858579
Solve this system for x: 3.8585786437626983x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
8.089844
null
121
3.921202
Solve this system for x: 3.9212015919877383x + 1y = 7 1x + 5y = 11 FINAL:
1.289906
1.289906
linear_system
0
chirp
1
8.148438
null
122
4.067378
Solve this system for x: 4.067377970678385x + 1y = 7 1x + 5y = 11 FINAL:
1.241151
1.241151
linear_system
0
chirp
1
8.207031
null
123
4.198781
Solve this system for x: 4.198781394000471x + 1y = 7 1x + 5y = 11 FINAL:
1.200366
1.200366
linear_system
0
chirp
1
8.265625
null
124
4.039018
Solve this system for x: 4.039018064403296x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
chirp
1
8.324219
null
125
3.800737
Solve this system for x: 3.800737477563438x + 1y = 7 1x + 5y = 11 FINAL:
1.33306
1.33306
linear_system
0
chirp
1
8.382813
null
126
4.134312
Solve this system for x: 4.1343117909693925x + 1y = 7 1x + 5y = 11 FINAL:
1.220035
1.220035
linear_system
0
chirp
1
8.441406
null
127
3.963392
Solve this system for x: 3.963392022408957x + 1y = 7 1x + 5y = 11 FINAL:
1.275445
1.275445
linear_system
0
chirp
1
8.5
null
128
4
Solve this system for x: 3.999999999999925x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
8.558594
null
129
3.963392
Solve this system for x: 3.9633920224089842x + 1y = 7 1x + 5y = 11 FINAL:
1.275445
1.275445
linear_system
0
chirp
1
8.617188
null
130
4.134312
Solve this system for x: 4.134311790969352x + 1y = 7 1x + 5y = 11 FINAL:
1.220035
1.220035
linear_system
0
chirp
1
8.675781
null
131
3.800737
Solve this system for x: 3.800737477563439x + 1y = 7 1x + 5y = 11 FINAL:
1.33306
1.33306
linear_system
0
chirp
1
8.734375
null
132
4.039018
Solve this system for x: 4.039018064403226x + 1y = 7 1x + 5y = 11 FINAL:
1.25032
1.25032
linear_system
0
chirp
1
8.792969
null
133
4.198781
Solve this system for x: 4.1987813940004655x + 1y = 7 1x + 5y = 11 FINAL:
1.200366
1.200366
linear_system
0
chirp
1
8.851563
null
134
4.067378
Solve this system for x: 4.067377970678399x + 1y = 7 1x + 5y = 11 FINAL:
1.241151
1.241151
linear_system
0
chirp
1
8.910156
null
135
3.921202
Solve this system for x: 3.92120159198781x + 1y = 7 1x + 5y = 11 FINAL:
1.289906
1.289906
linear_system
0
chirp
1
8.96875
null
136
3.858579
Solve this system for x: 3.8585786437626695x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
9.027344
null
137
3.856854
Solve this system for x: 3.856853834943223x + 1y = 7 1x + 5y = 11 FINAL:
1.312604
1.312604
linear_system
0
chirp
1
9.085938
null
138
3.914489
Solve this system for x: 3.914488981313992x + 1y = 7 1x + 5y = 11 FINAL:
1.292237
1.292237
linear_system
0
chirp
1
9.144531
null
139
4.055704
Solve this system for x: 4.055703937877016x + 1y = 7 1x + 5y = 11 FINAL:
1.244909
1.244909
linear_system
0
chirp
1
9.203125
null
140
4.196157
Solve this system for x: 4.19615705608065x + 1y = 7 1x + 5y = 11 FINAL:
1.201154
1.201154
linear_system
0
chirp
1
9.261719
null
141
4.060401
Solve this system for x: 4.060401189863928x + 1y = 7 1x + 5y = 11 FINAL:
1.243394
1.243394
linear_system
0
chirp
1
9.320313
null
142
3.800241
Solve this system for x: 3.800240908758963x + 1y = 7 1x + 5y = 11 FINAL:
1.333244
1.333244
linear_system
0
chirp
1
9.378906
null
143
4.109065
Solve this system for x: 4.109064997684314x + 1y = 7 1x + 5y = 11 FINAL:
1.227915
1.227915
linear_system
0
chirp
1
9.4375
null
144
4
Solve this system for x: 4.000000000000035x + 1y = 7 1x + 5y = 11 FINAL:
1.263158
1.263158
linear_system
0
chirp
1
9.496094
null
145
3.958578
Solve this system for x: 3.958577724761482x + 1y = 7 1x + 5y = 11 FINAL:
1.277079
1.277079
linear_system
0
chirp
1
9.554688
null
146
4.009814
Solve this system for x: 4.009813534865539x + 1y = 7 1x + 5y = 11 FINAL:
1.259904
1.259904
linear_system
0
chirp
1
9.613281
null
147
4.092108
Solve this system for x: 4.092107742191672x + 1y = 7 1x + 5y = 11 FINAL:
1.233265
1.233265
linear_system
0
chirp
1
9.671875
null
148
3.803843
Solve this system for x: 3.803842943919356x + 1y = 7 1x + 5y = 11 FINAL:
1.331912
1.331912
linear_system
0
chirp
1
9.730469
null
149
4.096437
Solve this system for x: 4.096436754415813x + 1y = 7 1x + 5y = 11 FINAL:
1.231895
1.231895
linear_system
0
chirp
1
9.789063
null
150
4.180798
Solve this system for x: 4.180797858624653x + 1y = 7 1x + 5y = 11 FINAL:
1.205788
1.205788
linear_system
0
chirp
1
9.847656
null
151
3.997546
Solve this system for x: 3.997545692342739x + 1y = 7 1x + 5y = 11 FINAL:
1.263974
1.263974
linear_system
0
chirp
1
9.90625
null
152
3.858579
Solve this system for x: 3.858578643762627x + 1y = 7 1x + 5y = 11 FINAL:
1.311985
1.311985
linear_system
0
chirp
1
9.964844
null
153
3.814299
Solve this system for x: 3.8142987839053566x + 1y = 7 1x + 5y = 11 FINAL:
1.328058
1.328058
linear_system
0
chirp
1
10.023438
null
154
3.811691
Solve this system for x: 3.811691186963385x + 1y = 7 1x + 5y = 11 FINAL:
1.329017
1.329017
linear_system
0
chirp
1
10.082031
null
155
3.843853
Solve this system for x: 3.84385255428558x + 1y = 7 1x + 5y = 11 FINAL:
1.317287
1.317287
linear_system
0
chirp
1
10.140625
null
156
3.960982
Solve this system for x: 3.9609819355966853x + 1y = 7 1x + 5y = 11 FINAL:
1.276262
1.276262
linear_system
0
chirp
1
10.199219
null
157
4.153033
Solve this system for x: 4.153033453124415x + 1y = 7 1x + 5y = 11 FINAL:
1.214257
1.214257
linear_system
0
chirp
1
10.257813
null
158
4.14819
Solve this system for x: 4.1481902250710485x + 1y = 7 1x + 5y = 11 FINAL:
1.215747
1.215747
linear_system
0
chirp
1
10.316406
null
159
3.835082
Solve this system for x: 3.8350821394429886x + 1y = 7 1x + 5y = 11 FINAL:
1.320465
1.320465