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 0.06 0.1 | prompt stringlengths 86 96 | ground_truth float64 144 318 | symbolic_baseline_answer float64 144 318 |
|---|---|---|---|---|---|---|---|---|---|---|
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 48 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 49 | 0.076619 | Calculate the compound interest: $150 invested at 7.661925961% annual rate for 4 years.
FINAL: | 201.530062 | 201.530062 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 50 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 51 | 0.080906 | Calculate the compound interest: $150 invested at 8.090586666% annual rate for 4 years.
FINAL: | 204.758885 | 204.758885 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 52 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 53 | 0.083381 | Calculate the compound interest: $150 invested at 8.338074039% annual rate for 4 years.
FINAL: | 206.640623 | 206.640623 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 54 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 55 | 0.079094 | Calculate the compound interest: $150 invested at 7.909413334% annual rate for 4 years.
FINAL: | 203.389526 | 203.389526 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 56 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 57 | 0.076619 | Calculate the compound interest: $150 invested at 7.661925961% annual rate for 4 years.
FINAL: | 201.530062 | 201.530062 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 58 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 59 | 0.080906 | Calculate the compound interest: $150 invested at 8.090586666% annual rate for 4 years.
FINAL: | 204.758885 | 204.758885 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 60 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 61 | 0.083381 | Calculate the compound interest: $150 invested at 8.338074039% annual rate for 4 years.
FINAL: | 206.640623 | 206.640623 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 62 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 8 | 240 | 63 | 0.079094 | Calculate the compound interest: $150 invested at 7.909413334% annual rate for 4 years.
FINAL: | 203.389526 | 203.389526 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 0 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 1 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 2 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 3 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 4 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 5 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 6 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 7 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 8 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 9 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 10 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 11 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 12 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 13 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 14 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 15 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 16 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 17 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 18 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 19 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 20 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 21 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 22 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 23 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 24 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 25 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 26 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 27 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 28 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 29 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 30 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 31 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 32 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 33 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 34 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 35 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 36 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 37 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 38 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 39 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 40 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 41 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 42 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 43 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 44 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 45 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 46 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 47 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 48 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 49 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 50 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 51 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 52 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 53 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 54 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 55 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 56 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 57 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 58 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 59 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 60 | 0.076969 | Calculate the compound interest: $150 invested at 7.696891109% annual rate for 4 years.
FINAL: | 201.791991 | 201.791991 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 61 | 0.07825 | Calculate the compound interest: $150 invested at 7.825% annual rate for 4 years.
FINAL: | 202.753858 | 202.753858 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 62 | 0.083031 | Calculate the compound interest: $150 invested at 8.303108891% annual rate for 4 years.
FINAL: | 206.373986 | 206.373986 |
exponential_interest | 2 | sinusoid | 0.5 | 16 | 240 | 63 | 0.08175 | Calculate the compound interest: $150 invested at 8.175% annual rate for 4 years.
FINAL: | 205.39926 | 205.39926 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 0 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 1 | 0.080686 | Calculate the compound interest: $100 invested at 8.068611998% annual rate for 6 years.
FINAL: | 159.293275 | 159.293275 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 2 | 0.081366 | Calculate the compound interest: $100 invested at 8.136563225% annual rate for 6 years.
FINAL: | 159.895182 | 159.895182 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 3 | 0.082032 | Calculate the compound interest: $100 invested at 8.203199274% annual rate for 6 years.
FINAL: | 160.487278 | 160.487278 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 4 | 0.082679 | Calculate the compound interest: $100 invested at 8.267878403% annual rate for 6 years.
FINAL: | 161.063732 | 161.063732 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 5 | 0.0833 | Calculate the compound interest: $100 invested at 8.329977716% annual rate for 6 years.
FINAL: | 161.618817 | 161.618817 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 6 | 0.083889 | Calculate the compound interest: $100 invested at 8.388899163% annual rate for 6 years.
FINAL: | 162.146968 | 162.146968 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 7 | 0.084441 | Calculate the compound interest: $100 invested at 8.444075299% annual rate for 6 years.
FINAL: | 162.642851 | 162.642851 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 8 | 0.08495 | Calculate the compound interest: $100 invested at 8.494974747% annual rate for 6 years.
FINAL: | 163.101419 | 163.101419 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 9 | 0.085411 | Calculate the compound interest: $100 invested at 8.541107317% annual rate for 6 years.
FINAL: | 163.51797 | 163.51797 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 10 | 0.08582 | Calculate the compound interest: $100 invested at 8.582028729% annual rate for 6 years.
FINAL: | 163.888209 | 163.888209 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 11 | 0.086173 | Calculate the compound interest: $100 invested at 8.617344885% annual rate for 6 years.
FINAL: | 164.208296 | 164.208296 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 12 | 0.086467 | Calculate the compound interest: $100 invested at 8.646715673% annual rate for 6 years.
FINAL: | 164.474894 | 164.474894 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 13 | 0.086699 | Calculate the compound interest: $100 invested at 8.669858235% annual rate for 6 years.
FINAL: | 164.685212 | 164.685212 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 14 | 0.086865 | Calculate the compound interest: $100 invested at 8.686549696% annual rate for 6 years.
FINAL: | 164.837042 | 164.837042 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 15 | 0.086966 | Calculate the compound interest: $100 invested at 8.696629309% annual rate for 6 years.
FINAL: | 164.928785 | 164.928785 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 16 | 0.087 | Calculate the compound interest: $100 invested at 8.7% annual rate for 6 years.
FINAL: | 164.959475 | 164.959475 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 17 | 0.086966 | Calculate the compound interest: $100 invested at 8.696629309% annual rate for 6 years.
FINAL: | 164.928785 | 164.928785 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 18 | 0.086865 | Calculate the compound interest: $100 invested at 8.686549696% annual rate for 6 years.
FINAL: | 164.837042 | 164.837042 |
exponential_interest | 0 | sinusoid | 1 | 1 | 0 | 19 | 0.086699 | Calculate the compound interest: $100 invested at 8.669858235% annual rate for 6 years.
FINAL: | 164.685212 | 164.685212 |
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