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
16
240
44
3.566987
Solve for x: 3.5669872981077844x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
16
240
45
3.75
Solve for x: 3.7499999999999973x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
16
240
46
4.433013
Solve for x: 4.433012701892217x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
16
240
47
4.25
Solve for x: 4.250000000000001x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
16
240
48
3.566987
Solve for x: 3.5669872981077826x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
16
240
49
3.75
Solve for x: 3.7499999999999942x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
16
240
50
4.433013
Solve for x: 4.433012701892218x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
16
240
51
4.25
Solve for x: 4.250000000000004x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
16
240
52
3.566987
Solve for x: 3.566987298107781x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
16
240
53
3.75
Solve for x: 3.7499999999999973x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
16
240
54
4.433013
Solve for x: 4.433012701892216x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
16
240
55
4.25
Solve for x: 4.250000000000001x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
16
240
56
3.566987
Solve for x: 3.5669872981077826x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
16
240
57
3.75
Solve for x: 3.7499999999999942x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
16
240
58
4.433013
Solve for x: 4.433012701892218x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
16
240
59
4.25
Solve for x: 4.250000000000004x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
0
sinusoid
2.5
16
240
60
3.566987
Solve for x: 3.566987298107785x + 3 = 27 FINAL:
6.728367
6.728367
linear_solve
0
sinusoid
2.5
16
240
61
3.75
Solve for x: 3.749999999999997x + 3 = 27 FINAL:
6.4
6.4
linear_solve
0
sinusoid
2.5
16
240
62
4.433013
Solve for x: 4.433012701892216x + 3 = 27 FINAL:
5.413925
5.413925
linear_solve
0
sinusoid
2.5
16
240
63
4.25
Solve for x: 4.250000000000002x + 3 = 27 FINAL:
5.647059
5.647059
linear_solve
1
sinusoid
2.5
1
0
0
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
1
0
1
4.049009
Solve for x: 4.04900857016478x + 5 = 41 FINAL:
8.891065
8.891065
linear_solve
1
sinusoid
2.5
1
0
2
4.097545
Solve for x: 4.097545161008064x + 5 = 41 FINAL:
8.785748
8.785748
linear_solve
1
sinusoid
2.5
1
0
3
4.145142
Solve for x: 4.145142338627231x + 5 = 41 FINAL:
8.684865
8.684865
linear_solve
1
sinusoid
2.5
1
0
4
4.191342
Solve for x: 4.191341716182545x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
1
0
5
4.235698
Solve for x: 4.235698368412999x + 5 = 41 FINAL:
8.499189
8.499189
linear_solve
1
sinusoid
2.5
1
0
6
4.277785
Solve for x: 4.277785116509801x + 5 = 41 FINAL:
8.41557
8.41557
linear_solve
1
sinusoid
2.5
1
0
7
4.317197
Solve for x: 4.317196642081822x + 5 = 41 FINAL:
8.338745
8.338745
linear_solve
1
sinusoid
2.5
1
0
8
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
1
0
9
4.386505
Solve for x: 4.386505226681368x + 5 = 41 FINAL:
8.206989
8.206989
linear_solve
1
sinusoid
2.5
1
0
10
4.415735
Solve for x: 4.4157348061512725x + 5 = 41 FINAL:
8.152664
8.152664
linear_solve
1
sinusoid
2.5
1
0
11
4.440961
Solve for x: 4.4409606321741775x + 5 = 41 FINAL:
8.106354
8.106354
linear_solve
1
sinusoid
2.5
1
0
12
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
1
0
13
4.47847
Solve for x: 4.478470167866105x + 5 = 41 FINAL:
8.038459
8.038459
linear_solve
1
sinusoid
2.5
1
0
14
4.490393
Solve for x: 4.490392640201615x + 5 = 41 FINAL:
8.017116
8.017116
linear_solve
1
sinusoid
2.5
1
0
15
4.497592
Solve for x: 4.497592363336098x + 5 = 41 FINAL:
8.004283
8.004283
linear_solve
1
sinusoid
2.5
1
0
16
4.5
Solve for x: 4.5x + 5 = 41 FINAL:
8
8
linear_solve
1
sinusoid
2.5
1
0
17
4.497592
Solve for x: 4.497592363336098x + 5 = 41 FINAL:
8.004283
8.004283
linear_solve
1
sinusoid
2.5
1
0
18
4.490393
Solve for x: 4.490392640201615x + 5 = 41 FINAL:
8.017116
8.017116
linear_solve
1
sinusoid
2.5
1
0
19
4.47847
Solve for x: 4.478470167866105x + 5 = 41 FINAL:
8.038459
8.038459
linear_solve
1
sinusoid
2.5
1
0
20
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
1
0
21
4.440961
Solve for x: 4.4409606321741775x + 5 = 41 FINAL:
8.106354
8.106354
linear_solve
1
sinusoid
2.5
1
0
22
4.415735
Solve for x: 4.4157348061512725x + 5 = 41 FINAL:
8.152664
8.152664
linear_solve
1
sinusoid
2.5
1
0
23
4.386505
Solve for x: 4.386505226681368x + 5 = 41 FINAL:
8.206989
8.206989
linear_solve
1
sinusoid
2.5
1
0
24
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
1
0
25
4.317197
Solve for x: 4.317196642081822x + 5 = 41 FINAL:
8.338745
8.338745
linear_solve
1
sinusoid
2.5
1
0
26
4.277785
Solve for x: 4.277785116509801x + 5 = 41 FINAL:
8.41557
8.41557
linear_solve
1
sinusoid
2.5
1
0
27
4.235698
Solve for x: 4.235698368412999x + 5 = 41 FINAL:
8.499189
8.499189
linear_solve
1
sinusoid
2.5
1
0
28
4.191342
Solve for x: 4.191341716182545x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
1
0
29
4.145142
Solve for x: 4.145142338627231x + 5 = 41 FINAL:
8.684865
8.684865
linear_solve
1
sinusoid
2.5
1
0
30
4.097545
Solve for x: 4.097545161008064x + 5 = 41 FINAL:
8.785748
8.785748
linear_solve
1
sinusoid
2.5
1
0
31
4.049009
Solve for x: 4.04900857016478x + 5 = 41 FINAL:
8.891065
8.891065
linear_solve
1
sinusoid
2.5
1
0
32
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
1
0
33
3.950991
Solve for x: 3.9509914298352196x + 5 = 41 FINAL:
9.111637
9.111637
linear_solve
1
sinusoid
2.5
1
0
34
3.902455
Solve for x: 3.902454838991936x + 5 = 41 FINAL:
9.224963
9.224963
linear_solve
1
sinusoid
2.5
1
0
35
3.854858
Solve for x: 3.854857661372769x + 5 = 41 FINAL:
9.338866
9.338866
linear_solve
1
sinusoid
2.5
1
0
36
3.808658
Solve for x: 3.808658283817455x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
1
0
37
3.764302
Solve for x: 3.764301631587001x + 5 = 41 FINAL:
9.563527
9.563527
linear_solve
1
sinusoid
2.5
1
0
38
3.722215
Solve for x: 3.722214883490199x + 5 = 41 FINAL:
9.671661
9.671661
linear_solve
1
sinusoid
2.5
1
0
39
3.682803
Solve for x: 3.6828033579181776x + 5 = 41 FINAL:
9.775162
9.775162
linear_solve
1
sinusoid
2.5
1
0
40
3.646447
Solve for x: 3.646446609406726x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
1
0
41
3.613495
Solve for x: 3.6134947733186316x + 5 = 41 FINAL:
9.962655
9.962655
linear_solve
1
sinusoid
2.5
1
0
42
3.584265
Solve for x: 3.5842651938487275x + 5 = 41 FINAL:
10.0439
10.0439
linear_solve
1
sinusoid
2.5
1
0
43
3.559039
Solve for x: 3.5590393678258225x + 5 = 41 FINAL:
10.115089
10.115089
linear_solve
1
sinusoid
2.5
1
0
44
3.53806
Solve for x: 3.538060233744357x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
1
0
45
3.52153
Solve for x: 3.5215298321338957x + 5 = 41 FINAL:
10.22283
10.22283
linear_solve
1
sinusoid
2.5
1
0
46
3.509607
Solve for x: 3.509607359798385x + 5 = 41 FINAL:
10.257558
10.257558
linear_solve
1
sinusoid
2.5
1
0
47
3.502408
Solve for x: 3.5024076366639014x + 5 = 41 FINAL:
10.278644
10.278644
linear_solve
1
sinusoid
2.5
1
0
48
3.5
Solve for x: 3.5x + 5 = 41 FINAL:
10.285714
10.285714
linear_solve
1
sinusoid
2.5
1
0
49
3.502408
Solve for x: 3.5024076366639014x + 5 = 41 FINAL:
10.278644
10.278644
linear_solve
1
sinusoid
2.5
1
0
50
3.509607
Solve for x: 3.509607359798385x + 5 = 41 FINAL:
10.257558
10.257558
linear_solve
1
sinusoid
2.5
1
0
51
3.52153
Solve for x: 3.5215298321338957x + 5 = 41 FINAL:
10.22283
10.22283
linear_solve
1
sinusoid
2.5
1
0
52
3.53806
Solve for x: 3.5380602337443565x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
1
0
53
3.559039
Solve for x: 3.5590393678258225x + 5 = 41 FINAL:
10.115089
10.115089
linear_solve
1
sinusoid
2.5
1
0
54
3.584265
Solve for x: 3.584265193848727x + 5 = 41 FINAL:
10.0439
10.0439
linear_solve
1
sinusoid
2.5
1
0
55
3.613495
Solve for x: 3.6134947733186316x + 5 = 41 FINAL:
9.962655
9.962655
linear_solve
1
sinusoid
2.5
1
0
56
3.646447
Solve for x: 3.646446609406726x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
1
0
57
3.682803
Solve for x: 3.682803357918177x + 5 = 41 FINAL:
9.775162
9.775162
linear_solve
1
sinusoid
2.5
1
0
58
3.722215
Solve for x: 3.722214883490199x + 5 = 41 FINAL:
9.671661
9.671661
linear_solve
1
sinusoid
2.5
1
0
59
3.764302
Solve for x: 3.764301631587001x + 5 = 41 FINAL:
9.563527
9.563527
linear_solve
1
sinusoid
2.5
1
0
60
3.808658
Solve for x: 3.8086582838174547x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
1
0
61
3.854858
Solve for x: 3.854857661372769x + 5 = 41 FINAL:
9.338866
9.338866
linear_solve
1
sinusoid
2.5
1
0
62
3.902455
Solve for x: 3.9024548389919356x + 5 = 41 FINAL:
9.224963
9.224963
linear_solve
1
sinusoid
2.5
1
0
63
3.950991
Solve for x: 3.9509914298352196x + 5 = 41 FINAL:
9.111637
9.111637
linear_solve
1
sinusoid
2.5
2
0
0
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
2
0
1
4.097545
Solve for x: 4.097545161008064x + 5 = 41 FINAL:
8.785748
8.785748
linear_solve
1
sinusoid
2.5
2
0
2
4.191342
Solve for x: 4.191341716182545x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
2
0
3
4.277785
Solve for x: 4.277785116509801x + 5 = 41 FINAL:
8.41557
8.41557
linear_solve
1
sinusoid
2.5
2
0
4
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
2
0
5
4.415735
Solve for x: 4.4157348061512725x + 5 = 41 FINAL:
8.152664
8.152664
linear_solve
1
sinusoid
2.5
2
0
6
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
2
0
7
4.490393
Solve for x: 4.490392640201615x + 5 = 41 FINAL:
8.017116
8.017116
linear_solve
1
sinusoid
2.5
2
0
8
4.5
Solve for x: 4.5x + 5 = 41 FINAL:
8
8
linear_solve
1
sinusoid
2.5
2
0
9
4.490393
Solve for x: 4.490392640201615x + 5 = 41 FINAL:
8.017116
8.017116
linear_solve
1
sinusoid
2.5
2
0
10
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
2
0
11
4.415735
Solve for x: 4.4157348061512725x + 5 = 41 FINAL:
8.152664
8.152664
linear_solve
1
sinusoid
2.5
2
0
12
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
2
0
13
4.277785
Solve for x: 4.277785116509801x + 5 = 41 FINAL:
8.41557
8.41557
linear_solve
1
sinusoid
2.5
2
0
14
4.191342
Solve for x: 4.191341716182545x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
2
0
15
4.097545
Solve for x: 4.097545161008064x + 5 = 41 FINAL:
8.785748
8.785748