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
|
sinusoid
| 0.5
| 16
| 0
| 24
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 25
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 26
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 27
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 28
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 29
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 30
| 4
|
Solve this system for x:
4.000000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 31
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 32
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 33
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 34
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 35
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 36
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 37
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 38
| 4
|
Solve this system for x:
4.000000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 39
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 40
| 4
|
Solve this system for x:
3.9999999999999996x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 41
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 42
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 43
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 44
| 4
|
Solve this system for x:
3.999999999999999x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 45
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 46
| 4
|
Solve this system for x:
4.000000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 47
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 48
| 4
|
Solve this system for x:
3.9999999999999996x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 49
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 50
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 51
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 52
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 53
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 54
| 4
|
Solve this system for x:
4.000000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 55
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 56
| 4
|
Solve this system for x:
3.9999999999999996x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 57
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 58
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 59
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 60
| 4
|
Solve this system for x:
3.999999999999999x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 61
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 62
| 4
|
Solve this system for x:
4.000000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 63
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 0
| 4.086603
|
Solve this system for x:
4.086602540378444x + 1y = 10
2x + 4y = 12
FINAL:
| 1.951708
| 1.951708
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 1
| 4.081285
|
Solve this system for x:
4.081284668459162x + 1y = 10
2x + 4y = 12
FINAL:
| 1.954606
| 1.954606
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 2
| 4.075184
|
Solve this system for x:
4.075183980747898x + 1y = 10
2x + 4y = 12
FINAL:
| 1.957941
| 1.957941
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 3
| 4.068359
|
Solve this system for x:
4.0683592302022875x + 1y = 10
2x + 4y = 12
FINAL:
| 1.961686
| 1.961686
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 4
| 4.060876
|
Solve this system for x:
4.060876142900872x + 1y = 10
2x + 4y = 12
FINAL:
| 1.965808
| 1.965808
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 5
| 4.052807
|
Solve this system for x:
4.052806785065036x + 1y = 10
2x + 4y = 12
FINAL:
| 1.970273
| 1.970273
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 6
| 4.044229
|
Solve this system for x:
4.0442288690219x + 1y = 10
2x + 4y = 12
FINAL:
| 1.975042
| 1.975042
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 7
| 4.035225
|
Solve this system for x:
4.035225004792124x + 1y = 10
2x + 4y = 12
FINAL:
| 1.980072
| 1.980072
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 8
| 4.025882
|
Solve this system for x:
4.0258819045102525x + 1y = 10
2x + 4y = 12
FINAL:
| 1.985319
| 1.985319
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 9
| 4.01629
|
Solve this system for x:
4.016289547339459x + 1y = 10
2x + 4y = 12
FINAL:
| 1.990735
| 1.990735
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 10
| 4.00654
|
Solve this system for x:
4.006540312923014x + 1y = 10
2x + 4y = 12
FINAL:
| 1.99627
| 1.99627
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 11
| 3.996728
|
Solve this system for x:
3.9967280917178223x + 1y = 10
2x + 4y = 12
FINAL:
| 2.001871
| 2.001871
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 12
| 3.986947
|
Solve this system for x:
3.9869473807779947x + 1y = 10
2x + 4y = 12
FINAL:
| 2.007487
| 2.007487
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 13
| 3.977292
|
Solve this system for x:
3.977292373696563x + 1y = 10
2x + 4y = 12
FINAL:
| 2.013061
| 2.013061
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 14
| 3.967856
|
Solve this system for x:
3.967856053469684x + 1y = 10
2x + 4y = 12
FINAL:
| 2.018538
| 2.018538
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 15
| 3.958729
|
Solve this system for x:
3.9587292970195604x + 1y = 10
2x + 4y = 12
FINAL:
| 2.023865
| 2.023865
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 16
| 3.95
|
Solve this system for x:
3.95x + 1y = 10
2x + 4y = 12
FINAL:
| 2.028986
| 2.028986
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 17
| 3.941752
|
Solve this system for x:
3.9417522303132198x + 1y = 10
2x + 4y = 12
FINAL:
| 2.033848
| 2.033848
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 18
| 3.934065
|
Solve this system for x:
3.9340654184899932x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0384
| 2.0384
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 19
| 3.927014
|
Solve this system for x:
3.9270135927302166x + 1y = 10
2x + 4y = 12
FINAL:
| 2.042595
| 2.042595
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 20
| 3.920665
|
Solve this system for x:
3.9206646659708766x + 1y = 10
2x + 4y = 12
FINAL:
| 2.046386
| 2.046386
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 21
| 3.91508
|
Solve this system for x:
3.915079781847342x + 1y = 10
2x + 4y = 12
FINAL:
| 2.049732
| 2.049732
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 22
| 3.910313
|
Solve this system for x:
3.9103127258467314x + 1y = 10
2x + 4y = 12
FINAL:
| 2.052598
| 2.052598
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 23
| 3.906409
|
Solve this system for x:
3.9064094073242677x + 1y = 10
2x + 4y = 12
FINAL:
| 2.05495
| 2.05495
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 24
| 3.903407
|
Solve this system for x:
3.9034074173710933x + 1y = 10
2x + 4y = 12
FINAL:
| 2.056762
| 2.056762
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 25
| 3.901336
|
Solve this system for x:
3.9013356667915122x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058015
| 2.058015
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 26
| 3.900214
|
Solve this system for x:
3.9002141076761396x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058694
| 2.058694
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 27
| 3.900054
|
Solve this system for x:
3.9000535412523636x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058791
| 2.058791
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 28
| 3.900856
|
Solve this system for x:
3.900855513862619x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058306
| 2.058306
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 29
| 3.902612
|
Solve this system for x:
3.9026123020722667x + 1y = 10
2x + 4y = 12
FINAL:
| 2.057243
| 2.057243
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 30
| 3.905307
|
Solve this system for x:
3.9053069870504893x + 1y = 10
2x + 4y = 12
FINAL:
| 2.055615
| 2.055615
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 31
| 3.908914
|
Solve this system for x:
3.9089136175078822x + 1y = 10
2x + 4y = 12
FINAL:
| 2.05344
| 2.05344
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 32
| 3.913397
|
Solve this system for x:
3.913397459621556x + 1y = 10
2x + 4y = 12
FINAL:
| 2.050743
| 2.050743
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 33
| 3.918715
|
Solve this system for x:
3.9187153315408385x + 1y = 10
2x + 4y = 12
FINAL:
| 2.047553
| 2.047553
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 34
| 3.924816
|
Solve this system for x:
3.9248160192521024x + 1y = 10
2x + 4y = 12
FINAL:
| 2.043905
| 2.043905
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 35
| 3.931641
|
Solve this system for x:
3.931640769797713x + 1y = 10
2x + 4y = 12
FINAL:
| 2.039841
| 2.039841
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 36
| 3.939124
|
Solve this system for x:
3.939123857099128x + 1y = 10
2x + 4y = 12
FINAL:
| 2.035402
| 2.035402
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 37
| 3.947193
|
Solve this system for x:
3.947193214934963x + 1y = 10
2x + 4y = 12
FINAL:
| 2.030638
| 2.030638
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 38
| 3.955771
|
Solve this system for x:
3.9557711309781x + 1y = 10
2x + 4y = 12
FINAL:
| 2.025597
| 2.025597
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 39
| 3.964775
|
Solve this system for x:
3.964774995207877x + 1y = 10
2x + 4y = 12
FINAL:
| 2.020333
| 2.020333
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 40
| 3.974118
|
Solve this system for x:
3.974118095489748x + 1y = 10
2x + 4y = 12
FINAL:
| 2.0149
| 2.0149
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 41
| 3.98371
|
Solve this system for x:
3.983710452660541x + 1y = 10
2x + 4y = 12
FINAL:
| 2.009352
| 2.009352
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 42
| 3.99346
|
Solve this system for x:
3.9934596870769856x + 1y = 10
2x + 4y = 12
FINAL:
| 2.003744
| 2.003744
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 43
| 4.003272
|
Solve this system for x:
4.003271908282177x + 1y = 10
2x + 4y = 12
FINAL:
| 1.998132
| 1.998132
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 44
| 4.013053
|
Solve this system for x:
4.013052619222005x + 1y = 10
2x + 4y = 12
FINAL:
| 1.992569
| 1.992569
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 45
| 4.022708
|
Solve this system for x:
4.022707626303437x + 1y = 10
2x + 4y = 12
FINAL:
| 1.987108
| 1.987108
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 46
| 4.032144
|
Solve this system for x:
4.032143946530316x + 1y = 10
2x + 4y = 12
FINAL:
| 1.981799
| 1.981799
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 47
| 4.041271
|
Solve this system for x:
4.041270702980439x + 1y = 10
2x + 4y = 12
FINAL:
| 1.976692
| 1.976692
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 48
| 4.05
|
Solve this system for x:
4.05x + 1y = 10
2x + 4y = 12
FINAL:
| 1.971831
| 1.971831
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 49
| 4.058248
|
Solve this system for x:
4.05824776968678x + 1y = 10
2x + 4y = 12
FINAL:
| 1.96726
| 1.96726
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 50
| 4.065935
|
Solve this system for x:
4.065934581510007x + 1y = 10
2x + 4y = 12
FINAL:
| 1.96302
| 1.96302
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 51
| 4.072986
|
Solve this system for x:
4.0729864072697834x + 1y = 10
2x + 4y = 12
FINAL:
| 1.959145
| 1.959145
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 52
| 4.079335
|
Solve this system for x:
4.079335334029124x + 1y = 10
2x + 4y = 12
FINAL:
| 1.95567
| 1.95567
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 53
| 4.08492
|
Solve this system for x:
4.084920218152658x + 1y = 10
2x + 4y = 12
FINAL:
| 1.952624
| 1.952624
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 54
| 4.089687
|
Solve this system for x:
4.089687274153269x + 1y = 10
2x + 4y = 12
FINAL:
| 1.950031
| 1.950031
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 55
| 4.093591
|
Solve this system for x:
4.093590592675732x + 1y = 10
2x + 4y = 12
FINAL:
| 1.947912
| 1.947912
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 56
| 4.096593
|
Solve this system for x:
4.096592582628907x + 1y = 10
2x + 4y = 12
FINAL:
| 1.946287
| 1.946287
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 57
| 4.098664
|
Solve this system for x:
4.098664333208488x + 1y = 10
2x + 4y = 12
FINAL:
| 1.945166
| 1.945166
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 58
| 4.099786
|
Solve this system for x:
4.09978589232386x + 1y = 10
2x + 4y = 12
FINAL:
| 1.94456
| 1.94456
|
linear_system
| 2
|
sinusoid
| 0.5
| 1
| 120
| 59
| 4.099946
|
Solve this system for x:
4.099946458747636x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944473
| 1.944473
|
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