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
1
chirp
1
7.09375
null
104
3.858579
Solve this system for x: 3.858578643762649x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
7.152344
null
105
3.997546
Solve this system for x: 3.9975456923428334x + 2y = 8 1x + 3y = 9 FINAL:
0.600442
0.600442
linear_system
1
chirp
1
7.210938
null
106
4.180798
Solve this system for x: 4.180797858624682x + 2y = 8 1x + 3y = 9 FINAL:
0.569131
0.569131
linear_system
1
chirp
1
7.269531
null
107
4.096437
Solve this system for x: 4.096436754415858x + 2y = 8 1x + 3y = 9 FINAL:
0.583129
0.583129
linear_system
1
chirp
1
7.328125
null
108
3.803843
Solve this system for x: 3.8038429439193537x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
chirp
1
7.386719
null
109
4.092108
Solve this system for x: 4.092107742191657x + 2y = 8 1x + 3y = 9 FINAL:
0.583866
0.583866
linear_system
1
chirp
1
7.445313
null
110
4.009814
Solve this system for x: 4.009813534865493x + 2y = 8 1x + 3y = 9 FINAL:
0.598239
0.598239
linear_system
1
chirp
1
7.503906
null
111
3.958578
Solve this system for x: 3.9585777247615x + 2y = 8 1x + 3y = 9 FINAL:
0.60755
0.60755
linear_system
1
chirp
1
7.5625
null
112
4
Solve this system for x: 4.000000000000044x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
7.621094
null
113
4.109065
Solve this system for x: 4.109064997684359x + 2y = 8 1x + 3y = 9 FINAL:
0.58099
0.58099
linear_system
1
chirp
1
7.679688
null
114
3.800241
Solve this system for x: 3.8002409087589664x + 2y = 8 1x + 3y = 9 FINAL:
0.638249
0.638249
linear_system
1
chirp
1
7.738281
null
115
4.060401
Solve this system for x: 4.0604011898638435x + 2y = 8 1x + 3y = 9 FINAL:
0.589321
0.589321
linear_system
1
chirp
1
7.796875
null
116
4.196157
Solve this system for x: 4.1961570560806445x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
chirp
1
7.855469
null
117
4.055704
Solve this system for x: 4.05570393787696x + 2y = 8 1x + 3y = 9 FINAL:
0.590138
0.590138
linear_system
1
chirp
1
7.914063
null
118
3.914489
Solve this system for x: 3.9144889813139145x + 2y = 8 1x + 3y = 9 FINAL:
0.615797
0.615797
linear_system
1
chirp
1
7.972656
null
119
3.856854
Solve this system for x: 3.856853834943207x + 2y = 8 1x + 3y = 9 FINAL:
0.626922
0.626922
linear_system
1
chirp
1
8.03125
null
120
3.858579
Solve this system for x: 3.8585786437626983x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
8.089844
null
121
3.921202
Solve this system for x: 3.9212015919877383x + 2y = 8 1x + 3y = 9 FINAL:
0.614527
0.614527
linear_system
1
chirp
1
8.148438
null
122
4.067378
Solve this system for x: 4.067377970678385x + 2y = 8 1x + 3y = 9 FINAL:
0.588112
0.588112
linear_system
1
chirp
1
8.207031
null
123
4.198781
Solve this system for x: 4.198781394000471x + 2y = 8 1x + 3y = 9 FINAL:
0.566233
0.566233
linear_system
1
chirp
1
8.265625
null
124
4.039018
Solve this system for x: 4.039018064403296x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
chirp
1
8.324219
null
125
3.800737
Solve this system for x: 3.800737477563438x + 2y = 8 1x + 3y = 9 FINAL:
0.638148
0.638148
linear_system
1
chirp
1
8.382813
null
126
4.134312
Solve this system for x: 4.1343117909693925x + 2y = 8 1x + 3y = 9 FINAL:
0.57676
0.57676
linear_system
1
chirp
1
8.441406
null
127
3.963392
Solve this system for x: 3.963392022408957x + 2y = 8 1x + 3y = 9 FINAL:
0.606663
0.606663
linear_system
1
chirp
1
8.5
null
128
4
Solve this system for x: 3.999999999999925x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
8.558594
null
129
3.963392
Solve this system for x: 3.9633920224089842x + 2y = 8 1x + 3y = 9 FINAL:
0.606663
0.606663
linear_system
1
chirp
1
8.617188
null
130
4.134312
Solve this system for x: 4.134311790969352x + 2y = 8 1x + 3y = 9 FINAL:
0.57676
0.57676
linear_system
1
chirp
1
8.675781
null
131
3.800737
Solve this system for x: 3.800737477563439x + 2y = 8 1x + 3y = 9 FINAL:
0.638148
0.638148
linear_system
1
chirp
1
8.734375
null
132
4.039018
Solve this system for x: 4.039018064403226x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
chirp
1
8.792969
null
133
4.198781
Solve this system for x: 4.1987813940004655x + 2y = 8 1x + 3y = 9 FINAL:
0.566233
0.566233
linear_system
1
chirp
1
8.851563
null
134
4.067378
Solve this system for x: 4.067377970678399x + 2y = 8 1x + 3y = 9 FINAL:
0.588112
0.588112
linear_system
1
chirp
1
8.910156
null
135
3.921202
Solve this system for x: 3.92120159198781x + 2y = 8 1x + 3y = 9 FINAL:
0.614527
0.614527
linear_system
1
chirp
1
8.96875
null
136
3.858579
Solve this system for x: 3.8585786437626695x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
9.027344
null
137
3.856854
Solve this system for x: 3.856853834943223x + 2y = 8 1x + 3y = 9 FINAL:
0.626922
0.626922
linear_system
1
chirp
1
9.085938
null
138
3.914489
Solve this system for x: 3.914488981313992x + 2y = 8 1x + 3y = 9 FINAL:
0.615797
0.615797
linear_system
1
chirp
1
9.144531
null
139
4.055704
Solve this system for x: 4.055703937877016x + 2y = 8 1x + 3y = 9 FINAL:
0.590138
0.590138
linear_system
1
chirp
1
9.203125
null
140
4.196157
Solve this system for x: 4.19615705608065x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
chirp
1
9.261719
null
141
4.060401
Solve this system for x: 4.060401189863928x + 2y = 8 1x + 3y = 9 FINAL:
0.589321
0.589321
linear_system
1
chirp
1
9.320313
null
142
3.800241
Solve this system for x: 3.800240908758963x + 2y = 8 1x + 3y = 9 FINAL:
0.638249
0.638249
linear_system
1
chirp
1
9.378906
null
143
4.109065
Solve this system for x: 4.109064997684314x + 2y = 8 1x + 3y = 9 FINAL:
0.58099
0.58099
linear_system
1
chirp
1
9.4375
null
144
4
Solve this system for x: 4.000000000000035x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
9.496094
null
145
3.958578
Solve this system for x: 3.958577724761482x + 2y = 8 1x + 3y = 9 FINAL:
0.60755
0.60755
linear_system
1
chirp
1
9.554688
null
146
4.009814
Solve this system for x: 4.009813534865539x + 2y = 8 1x + 3y = 9 FINAL:
0.598239
0.598239
linear_system
1
chirp
1
9.613281
null
147
4.092108
Solve this system for x: 4.092107742191672x + 2y = 8 1x + 3y = 9 FINAL:
0.583866
0.583866
linear_system
1
chirp
1
9.671875
null
148
3.803843
Solve this system for x: 3.803842943919356x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
chirp
1
9.730469
null
149
4.096437
Solve this system for x: 4.096436754415813x + 2y = 8 1x + 3y = 9 FINAL:
0.583129
0.583129
linear_system
1
chirp
1
9.789063
null
150
4.180798
Solve this system for x: 4.180797858624653x + 2y = 8 1x + 3y = 9 FINAL:
0.569131
0.569131
linear_system
1
chirp
1
9.847656
null
151
3.997546
Solve this system for x: 3.997545692342739x + 2y = 8 1x + 3y = 9 FINAL:
0.600442
0.600442
linear_system
1
chirp
1
9.90625
null
152
3.858579
Solve this system for x: 3.858578643762627x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
9.964844
null
153
3.814299
Solve this system for x: 3.8142987839053566x + 2y = 8 1x + 3y = 9 FINAL:
0.635398
0.635398
linear_system
1
chirp
1
10.023438
null
154
3.811691
Solve this system for x: 3.811691186963385x + 2y = 8 1x + 3y = 9 FINAL:
0.635925
0.635925
linear_system
1
chirp
1
10.082031
null
155
3.843853
Solve this system for x: 3.84385255428558x + 2y = 8 1x + 3y = 9 FINAL:
0.629488
0.629488
linear_system
1
chirp
1
10.140625
null
156
3.960982
Solve this system for x: 3.9609819355966853x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
chirp
1
10.199219
null
157
4.153033
Solve this system for x: 4.153033453124415x + 2y = 8 1x + 3y = 9 FINAL:
0.573663
0.573663
linear_system
1
chirp
1
10.257813
null
158
4.14819
Solve this system for x: 4.1481902250710485x + 2y = 8 1x + 3y = 9 FINAL:
0.574461
0.574461
linear_system
1
chirp
1
10.316406
null
159
3.835082
Solve this system for x: 3.8350821394429886x + 2y = 8 1x + 3y = 9 FINAL:
0.63123
0.63123
linear_system
1
chirp
1
10.375
null
160
4
Solve this system for x: 3.9999999999999867x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
10.433594
null
161
4.113146
Solve this system for x: 4.113146362156703x + 2y = 8 1x + 3y = 9 FINAL:
0.580302
0.580302
linear_system
1
chirp
1
10.492188
null
162
3.85181
Solve this system for x: 3.851809774928969x + 2y = 8 1x + 3y = 9 FINAL:
0.627915
0.627915
linear_system
1
chirp
1
10.550781
null
163
4.128766
Solve this system for x: 4.12876630857802x + 2y = 8 1x + 3y = 9 FINAL:
0.577684
0.577684
linear_system
1
chirp
1
10.609375
null
164
3.960982
Solve this system for x: 3.9609819355967355x + 2y = 8 1x + 3y = 9 FINAL:
0.607106
0.607106
linear_system
1
chirp
1
10.667969
null
165
3.875028
Solve this system for x: 3.8750281023716155x + 2y = 8 1x + 3y = 9 FINAL:
0.623371
0.623371
linear_system
1
chirp
1
10.726563
null
166
4.188309
Solve this system for x: 4.188308813036651x + 2y = 8 1x + 3y = 9 FINAL:
0.567917
0.567917
linear_system
1
chirp
1
10.785156
null
167
4.074263
Solve this system for x: 4.074263438790282x + 2y = 8 1x + 3y = 9 FINAL:
0.586924
0.586924
linear_system
1
chirp
1
10.84375
null
168
3.858579
Solve this system for x: 3.8585786437626997x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
10.902344
null
169
3.800015
Solve this system for x: 3.8000150596321713x + 2y = 8 1x + 3y = 9 FINAL:
0.638295
0.638295
linear_system
1
chirp
1
10.960938
null
170
3.819202
Solve this system for x: 3.8192021413753694x + 2y = 8 1x + 3y = 9 FINAL:
0.63441
0.63441
linear_system
1
chirp
1
11.019531
null
171
3.824786
Solve this system for x: 3.824785981160932x + 2y = 8 1x + 3y = 9 FINAL:
0.633288
0.633288
linear_system
1
chirp
1
11.078125
null
172
3.803843
Solve this system for x: 3.8038429439193613x + 2y = 8 1x + 3y = 9 FINAL:
0.637516
0.637516
linear_system
1
chirp
1
11.136719
null
173
3.822472
Solve this system for x: 3.822472075919435x + 2y = 8 1x + 3y = 9 FINAL:
0.633753
0.633753
linear_system
1
chirp
1
11.195313
null
174
3.990186
Solve this system for x: 3.9901864651344594x + 2y = 8 1x + 3y = 9 FINAL:
0.601772
0.601772
linear_system
1
chirp
1
11.253906
null
175
4.195663
Solve this system for x: 4.195663474143912x + 2y = 8 1x + 3y = 9 FINAL:
0.566733
0.566733
linear_system
1
chirp
1
11.3125
null
176
4
Solve this system for x: 4.0000000000000115x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
11.371094
null
177
3.832355
Solve this system for x: 3.8323550588889903x + 2y = 8 1x + 3y = 9 FINAL:
0.631774
0.631774
linear_system
1
chirp
1
11.429688
null
178
4.199759
Solve this system for x: 4.19975909124103x + 2y = 8 1x + 3y = 9 FINAL:
0.566076
0.566076
linear_system
1
chirp
1
11.488281
null
179
3.809339
Solve this system for x: 3.809338791929169x + 2y = 8 1x + 3y = 9 FINAL:
0.636401
0.636401
linear_system
1
chirp
1
11.546875
null
180
4.196157
Solve this system for x: 4.196157056080629x + 2y = 8 1x + 3y = 9 FINAL:
0.566654
0.566654
linear_system
1
chirp
1
11.605469
null
181
3.807914
Solve this system for x: 3.807913896116862x + 2y = 8 1x + 3y = 9 FINAL:
0.63669
0.63669
linear_system
1
chirp
1
11.664063
null
182
4.085511
Solve this system for x: 4.0855110186860815x + 2y = 8 1x + 3y = 9 FINAL:
0.584993
0.584993
linear_system
1
chirp
1
11.722656
null
183
4.139675
Solve this system for x: 4.139675249881732x + 2y = 8 1x + 3y = 9 FINAL:
0.57587
0.57587
linear_system
1
chirp
1
11.78125
null
184
3.858579
Solve this system for x: 3.85857864376263x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
11.839844
null
185
3.816177
Solve this system for x: 3.816177229661997x + 2y = 8 1x + 3y = 9 FINAL:
0.635019
0.635019
linear_system
1
chirp
1
11.898438
null
186
3.932622
Solve this system for x: 3.9326220293216294x + 2y = 8 1x + 3y = 9 FINAL:
0.612378
0.612378
linear_system
1
chirp
1
11.957031
null
187
4.022044
Solve this system for x: 4.022044441458848x + 2y = 8 1x + 3y = 9 FINAL:
0.596058
0.596058
linear_system
1
chirp
1
12.015625
null
188
4.039018
Solve this system for x: 4.039018064403231x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
chirp
1
12.074219
null
189
3.982841
Solve this system for x: 3.9828405375311697x + 2y = 8 1x + 3y = 9 FINAL:
0.603105
0.603105
linear_system
1
chirp
1
12.132813
null
190
3.865688
Solve this system for x: 3.865688209030633x + 2y = 8 1x + 3y = 9 FINAL:
0.625191
0.625191
linear_system
1
chirp
1
12.191406
null
191
3.803379
Solve this system for x: 3.8033789025137605x + 2y = 8 1x + 3y = 9 FINAL:
0.63761
0.63761
linear_system
1
chirp
1
12.25
null
192
4
Solve this system for x: 3.9999999999999716x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
chirp
1
12.308594
null
193
4.196621
Solve this system for x: 4.196621097486246x + 2y = 8 1x + 3y = 9 FINAL:
0.56658
0.56658
linear_system
1
chirp
1
12.367188
null
194
3.865688
Solve this system for x: 3.8656882090306883x + 2y = 8 1x + 3y = 9 FINAL:
0.625191
0.625191
linear_system
1
chirp
1
12.425781
null
195
4.017159
Solve this system for x: 4.017159462468718x + 2y = 8 1x + 3y = 9 FINAL:
0.596927
0.596927
linear_system
1
chirp
1
12.484375
null
196
4.039018
Solve this system for x: 4.039018064403199x + 2y = 8 1x + 3y = 9 FINAL:
0.593058
0.593058
linear_system
1
chirp
1
12.542969
null
197
3.977956
Solve this system for x: 3.9779555585411464x + 2y = 8 1x + 3y = 9 FINAL:
0.603994
0.603994
linear_system
1
chirp
1
12.601563
null
198
3.932622
Solve this system for x: 3.9326220293216694x + 2y = 8 1x + 3y = 9 FINAL:
0.612378
0.612378
linear_system
1
chirp
1
12.660156
null
199
4.183823
Solve this system for x: 4.183822770337971x + 2y = 8 1x + 3y = 9 FINAL:
0.568641
0.568641
linear_system
1
chirp
1
12.71875
null
200
3.858579
Solve this system for x: 3.8585786437626757x + 2y = 8 1x + 3y = 9 FINAL:
0.626584
0.626584
linear_system
1
chirp
1
12.777344
null
201
3.860325
Solve this system for x: 3.8603247501183793x + 2y = 8 1x + 3y = 9 FINAL:
0.626241
0.626241
linear_system
1
chirp
1
12.835938
null
202
4.085511
Solve this system for x: 4.085511018686091x + 2y = 8 1x + 3y = 9 FINAL:
0.584993
0.584993
linear_system
1
chirp
1
12.894531
null
203
4.192086
Solve this system for x: 4.192086103883152x + 2y = 8 1x + 3y = 9 FINAL:
0.567308
0.567308