Datasets:
ai-metrology-lab
/
MathBode-LinearSolve

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xet
Community
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
35
50
ground_truth
float64
3.56
10.3
symbolic_baseline_answer
float64
3.56
10.3
linear_solve
0
sinusoid
2.5
8
0
48
4
Solve for x: 3.999999999999999x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
8
0
49
4.353553
Solve for x: 4.353553390593272x + 3 = 27 FINAL:
5.512738
5.512738
linear_solve
0
sinusoid
2.5
8
0
50
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
8
0
51
4.353553
Solve for x: 4.353553390593275x + 3 = 27 FINAL:
5.512738
5.512738
linear_solve
0
sinusoid
2.5
8
0
52
4
Solve for x: 3.999999999999999x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
8
0
53
3.646447
Solve for x: 3.6464466094067265x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
8
0
54
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
8
0
55
3.646447
Solve for x: 3.6464466094067265x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
8
0
56
4
Solve for x: 3.999999999999999x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
8
0
57
4.353553
Solve for x: 4.353553390593272x + 3 = 27 FINAL:
5.512738
5.512738
linear_solve
0
sinusoid
2.5
8
0
58
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
8
0
59
4.353553
Solve for x: 4.353553390593275x + 3 = 27 FINAL:
5.512738
5.512738
linear_solve
0
sinusoid
2.5
8
0
60
4
Solve for x: 4.000000000000003x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
8
0
61
3.646447
Solve for x: 3.6464466094067265x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
8
0
62
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
8
0
63
3.646447
Solve for x: 3.6464466094067265x + 3 = 27 FINAL:
6.58175
6.58175
linear_solve
0
sinusoid
2.5
16
0
0
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
1
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
2
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
3
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
4
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
5
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
6
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
7
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
8
4
Solve for x: 3.9999999999999996x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
9
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
10
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
11
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
12
4
Solve for x: 3.9999999999999996x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
13
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
14
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
15
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
16
4
Solve for x: 3.9999999999999996x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
17
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
18
4
Solve for x: 4.000000000000001x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
19
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
20
4
Solve for x: 3.9999999999999996x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
21
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
22
4
Solve for x: 4.000000000000003x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
23
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
24
4
Solve for x: 3.999999999999999x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
25
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
26
4
Solve for x: 3.999999999999999x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
27
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
28
4
Solve for x: 3.999999999999999x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
29
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
30
4
Solve for x: 4.000000000000003x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
31
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
32
4
Solve for x: 3.999999999999999x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
33
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
34
4
Solve for x: 3.999999999999999x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
35
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
36
4
Solve for x: 3.999999999999999x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
37
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
38
4
Solve for x: 4.000000000000003x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
39
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
40
4
Solve for x: 3.9999999999999987x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
41
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
42
4
Solve for x: 3.9999999999999996x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
43
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
44
4
Solve for x: 3.999999999999995x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
45
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
46
4
Solve for x: 4.0000000000000036x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
47
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
48
4
Solve for x: 3.9999999999999987x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
49
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
50
4
Solve for x: 3.9999999999999996x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
51
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
52
4
Solve for x: 4.000000000000002x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
53
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
54
4
Solve for x: 4.0000000000000036x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
55
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
56
4
Solve for x: 3.9999999999999982x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
57
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
58
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
59
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
16
0
60
4
Solve for x: 3.9999999999999947x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
61
4.5
Solve for x: 4.5x + 3 = 27 FINAL:
5.333333
5.333333
linear_solve
0
sinusoid
2.5
16
0
62
4
Solve for x: 4.0000000000000036x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
2.5
16
0
63
3.5
Solve for x: 3.5x + 3 = 27 FINAL:
6.857143
6.857143
linear_solve
0
sinusoid
2.5
1
120
0
4.433013
Solve for x: 4.43301270189222x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
1
120
1
4.406423
Solve for x: 4.406423342295808x + 3 = 27 FINAL:
5.446594
5.446594
linear_solve
0
sinusoid
2.5
1
120
2
4.37592
Solve for x: 4.375919903739489x + 3 = 27 FINAL:
5.484561
5.484561
linear_solve
0
sinusoid
2.5
1
120
3
4.341796
Solve for x: 4.341796151011436x + 3 = 27 FINAL:
5.527666
5.527666
linear_solve
0
sinusoid
2.5
1
120
4
4.304381
Solve for x: 4.304380714504361x + 3 = 27 FINAL:
5.575715
5.575715
linear_solve
0
sinusoid
2.5
1
120
5
4.264034
Solve for x: 4.264033925325184x + 3 = 27 FINAL:
5.628473
5.628473
linear_solve
0
sinusoid
2.5
1
120
6
4.221144
Solve for x: 4.221144345109501x + 3 = 27 FINAL:
5.685662
5.685662
linear_solve
0
sinusoid
2.5
1
120
7
4.176125
Solve for x: 4.176125023960617x + 3 = 27 FINAL:
5.746954
5.746954
linear_solve
0
sinusoid
2.5
1
120
8
4.12941
Solve for x: 4.129409522551261x + 3 = 27 FINAL:
5.811969
5.811969
linear_solve
0
sinusoid
2.5
1
120
9
4.081448
Solve for x: 4.081447736697294x + 3 = 27 FINAL:
5.880266
5.880266
linear_solve
0
sinusoid
2.5
1
120
10
4.032702
Solve for x: 4.0327015646150715x + 3 = 27 FINAL:
5.951345
5.951345
linear_solve
0
sinusoid
2.5
1
120
11
3.98364
Solve for x: 3.9836404585891123x + 3 = 27 FINAL:
6.02464
6.02464
linear_solve
0
sinusoid
2.5
1
120
12
3.934737
Solve for x: 3.9347369038899744x + 3 = 27 FINAL:
6.099518
6.099518
linear_solve
0
sinusoid
2.5
1
120
13
3.886462
Solve for x: 3.8864618684828134x + 3 = 27 FINAL:
6.175283
6.175283
linear_solve
0
sinusoid
2.5
1
120
14
3.83928
Solve for x: 3.8392802673484194x + 3 = 27 FINAL:
6.251172
6.251172
linear_solve
0
sinusoid
2.5
1
120
15
3.793646
Solve for x: 3.7936464850978027x + 3 = 27 FINAL:
6.326367
6.326367
linear_solve
0
sinusoid
2.5
1
120
16
3.75
Solve for x: 3.75x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
1
120
17
3.708761
Solve for x: 3.708761151566099x + 3 = 27 FINAL:
6.471164
6.471164
linear_solve
0
sinusoid
2.5
1
120
18
3.670327
Solve for x: 3.670327092449966x + 3 = 27 FINAL:
6.538927
6.538927
linear_solve
0
sinusoid
2.5
1
120
19
3.635068
Solve for x: 3.6350679636510823x + 3 = 27 FINAL:
6.602352
6.602352