diff --git "a/data/dm_maths/full_data_1/10871_11255.jsonl" "b/data/dm_maths/full_data_1/10871_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10871_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s be (-10 + 0)*(-3)\/6*-3. Let y be 62\/15*1 - (-2)\/s. Suppose -4*u + 12 = p, 0*p + 2*u = y*p - 102. What is the greatest common factor of 36 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5293?\nAnswer: 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14131, -113746, -384131, -910672, -1778755, -3073766?\n\"Answer: -14231*u**3 + u**2 - u + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 8*b - 6*b + 0*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7965966, 7965995, 7966024, 7966053?\n\"Answer: 29*m + 7965937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -176, -114, -38, 52, 156?\n\"Answer: 7*u**2 + 41*u - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 7*s + s**2 - 6*s**2 + 5*s**2.\nAnswer: s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 7. Let a(h) = -3*h + 18. Let l(r) = r + 1. Let n(p) = a(p) - 3*l(p). Give -13*i(f) - 6*n(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 plus 129301?\nAnswer: 129299.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 67*s**2 + 1207*s + 15. What is p(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 103, 248, 391, 532, 671, 808?\n\"Answer: -m**2 + 148*m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6906, -9397, -11892, -14391, -16894?\nAnswer: -19401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2 + 34*v - 20. Determine f(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 590 and 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 836 + -836.3. Let n be 3\/(4\/(32\/174)). Let s = 94\/261 - n. What is the nearest to o in s, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8423087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-848)\/48 - -19)*(-594)\/25080.\nAnswer: -3\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/25 - 10\/((-22000)\/1974) and 89\/548?\nAnswer: 6028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5 + 1400376*w**4 + 1400380*w**3.\nAnswer: -4*w**3*(w - 350095)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4ed + 0?\nAnswer: -4ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69964.83ml to litres.\nAnswer: 69.96483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12057)\/(-15) - 8\/2*(-39)\/780 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s, -2*u - 2*u + 20 = -2*s. Solve 5*n + 2*q = -3, -3*n + 3*q - 5 = u*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803705797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (1 + 4\/4). Suppose -3 - 1 = o*m. Sort 3\/2, m, 1\/4 in ascending order.\nAnswer: m, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*s + 5*a, 5*s - 4*a = -33 + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1231, 2479, 3741, 5023, 6331?\n\"Answer: j**3 + j**2 + 1238*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 4*j - 5 - 4*j - 13.\nAnswer: -j - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 92\/161 - (-395)\/7. Let u = n + -47. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4984 and 5607?\nAnswer: 44856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3 - 6307815*f**2 + 1989429657615*f - 1989423349805 = 0. What is f?\nAnswer: 1, 630781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -124*z**6\/15 + 67*z**3\/2 - 18*z - 6. Find the second derivative of q(o) wrt o.\nAnswer: -2976*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -16 (c) -4 (d) 18 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*-9*(-4)\/(-108).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60909, 121729, 182549, 243369, 304189?\nAnswer: 365009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841756 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/13 - 9\/26. Let l = 119764 - 119763.907. Is l less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 14 + -26 + 13 + 2 + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 31 = -3*l - j, -j - 4 = 0. Calculate the greatest common divisor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:54 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/12 - 3*a. Let f(g) = 8*g**2 - g**2 - 9*g**2. Determine f(c(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1774914 is divided by 633?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - (25 + -12 + 24).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p**3 + 7*p**2 + 3*p**6 + 4*p**3 + p**3 wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, -7, -36, -81, -148, -243, -372?\n\"Answer: -u**3 + u**2 - 15*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 48. Suppose l - 540 = -f*l. What is the highest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-1 + -2 - (1 + -17) - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11424.3 and 416.\nAnswer: -11008.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**5\/9 - 140*u**4\/9 - 392*u**3\/3 + 5488*u**2.\nAnswer: -2*u**2*(u - 14)*(u + 42)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**3 + 794370*i**2 - 31551979200*i + 63100780960 = 0.\nAnswer: 2, 79436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + k**2 - 12 - 20 + k - 3*k. Let i be v(7). Find w such that 4*w**3 - 5*w**4 + 10*w**4 + i*w**2 - 5*w - 3*w**3 + 1 - w**5 - 11*w**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r + 21168 = -169*r + 2*r - 32*r for r.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + d = -120, -3*i - 5*d + 162 = -2*d. Suppose y + 2*o - 20 = -0*y, 0 = 4*o. Calculate the remainder when i is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -90*u**2 - 1426*u + 225. Calculate c(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 35 = 5*x, -124*x + 128*x + t - 37 = 0. Solve 10 = x*v + 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 3, h: 5, g: 6}. Give prob of sequence ogh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + 0 + -13 + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11 (b) -3 (c) -1111 (d) 0.11 (e) 0.3 (f) -0.1 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdv when three letters picked without replacement from vdvvvd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -5*o + 86. Is (22\/(-4))\/((-1)\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -4. Let v = -0.04 + 2.04. What is the nearest to s in -2\/9, 4\/9, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-202)\/(-1)*2\/60 - 48\/(-180)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (40\/8 + -6 + 3)\/1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101001101111011100100 + 1110?\nAnswer: -110101001101111011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 1\/(4\/600). Let h = -83 - l. Let s = h - 41. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5430\/26 - 22\/(-143)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/u**(-1)*u)\/u))**34)**37 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: d9a5 (base 15) to base 10\nAnswer: 46055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.2 or 297?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*w - g, -2 = -3*g + 1. Suppose -10*z = -0*z - 70. Suppose -z*u + 44000 = -w*u. Round u to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/((6\/(-10))\/(-1)). Let p = 24 + m. Let i = -42 + p. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 245296?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -6 - 3 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1854 + 1859. What is the nearest to 0 in -2.06, -2\/13, o?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6794503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.78 - -18. Let x = 0.2242 - a. Round x to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -3, -5, -10 in decreasing order.\nAnswer: 4, 2, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -20.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955580?\nAnswer: 2, 3, 5, 11, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -16. What is the nearest to -2\/7 in 0.2, d, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + 5*t + 18, -6 = -2*w - t. What is the second derivative of 5*v**4 - 3*v**4 - 4*v + v**w + 2*v wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 - 3*u**4 + 4*u**4 + (-3*u**2 - 7*u + 7*u)*(-3*u**2 + 3*u**2 - u**2).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*w**2 - 4*w**2 - 20*w**2)*(-2*w + 3*w - 2*w) - 15 + 15 - 25*w**3 to the form m*w + f*w**2 + z*w**3 + d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*c + 114*c = 4*i - 91*c + 46*c - 271 - 300, -2*i = -2*c - 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, 10 in increasing order.\nAnswer: 4, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -1\/60*c**5 + 0 + 3*c**2 + 0*c - 1\/6*c**3 + 1\/24*c**4. Let n(s) = -8*s**2 + 8*s - 4. Determine -6*a(d) + n(d).\nAnswer: -2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 3:39 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + 0*f**2 + 3*f**2 + (-107*f + 168*f - 110*f)*(f + 1 - 1).\nAnswer: -43*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -50, -45, -24, 19, 90, 195, 340?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 102 = -2*b. Calculate the highest common divisor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875556?\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -139\nAnswer: 4\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 612, 701, 24, -1803, -5164?\n\"Answer: -64*x**3 + x**2 + 534*x + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 20*m**2 - m + 2. Determine a(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 666 and 45843?\nAnswer: 275058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 855*p + 5134. Determine i(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27951618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n - 32*n - 273 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + -1 + sqrt(20) + -4)**2 + (1*sqrt(1600))\/(sqrt(5) + -6*(sqrt(10)\/sqrt(2) + sqrt(5))).\nAnswer: -52*sqrt(5)\/11 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.048 - -4.048. Let y be (74\/(-6))\/((-9)\/27 - 0). Which is the biggest value? (a) y (b) k (c) 3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 10.96255.\nAnswer: 5.96255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.77091s in hours?\nAnswer: 0.041047475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**3 - p**2 - 4*p**3 + p**2 + 8781471 - 8781471.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194 and 4753.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 31*s - 2009. Let l be y(65). Suppose 4*r + 4 = 5*r. Solve -r*x + x = l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 2*a - a)*(-3*a**3 - 2*a**3 + 4*a**3) as l*a**2 + w*a**3 + c*a + n*a**4 + u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 678810499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2034 by -678.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 77 - 129. Calculate the remainder when (9\/(-5))\/((-78)\/1040) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*y + 9, 5*n + 5*y = 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10852448 divided by -10852448.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124902*w - 135991 with respect to w.\nAnswer: 124902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37605089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7350, 25275, 43200?\nAnswer: 61125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25515284 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**8\/30240 + v**7\/7560 - v**6\/540 + v**5\/20 + v**2. Let t(r) be the third derivative of n(r). Factor t(l).\nAnswer: 2*(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l - 28 = 0. Let m(n) = n**3 - 7*n**2 + 3. Let r be m(l). Let f = 8 + r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 4 (c) -114 (d) -195\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105.928 + 113. Let s = y - 18.709. Let g = 11.7 + s. What is g rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.81 * -0.075.\nAnswer: 0.66075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 38*q - 143. Let s be k(5). Solve -26 = 7*b - s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356388233.\nAnswer: 1409, 252937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(800) - (sqrt(800) + sqrt(800) + 3*sqrt(800)*5)))\/(sqrt(1210) + -5*-2*sqrt(1210) + -1*(sqrt(1210) - -2*sqrt(1210) - sqrt(1210))).\nAnswer: 256*sqrt(5)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -293\/6. Let m(q) be the third derivative of 2*q**2 + a*q**4 - 1\/30*q**5 + 0*q**3 - 1\/60*q**6 + 0*q + 0. Factor m(b).\nAnswer: -2*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*p + 2297 - 2297)*(61 + 37 - 22 + 7).\nAnswer: -4565*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38572464 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 100 = 72. Suppose 0 = -6*d + 235 - w. Suppose 37*c = d*c - 10250000. What is c rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*h = -14, -2*h = o + 4*o - 12. Put 3, 1, o, 5 in decreasing order.\nAnswer: 5, 3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26\/173 + 225\/346. What is the fifth biggest value in 1, q, -0.1, -1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 - (-35)\/3. Calculate the lowest common multiple of 1 and 2\/(-3) + 116\/m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0.71665\nAnswer: -2.71665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1159417*v + 11594178. Calculate i(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10181030 rounded to the nearest 100000?\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - 1. Let s(a) = -2*a**3 - 2*a**2 - a. Let z be s(-1). Let m be x(z). Let b = -1 + m. Solve 5*t + 3*y + 11 = b*t, 3*t - 2*y = 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50 + 43 - 82*n - 13*n - 96 in the form p + j*n and give j.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 1070*j + 1059*j + 28, -2*j = -3*m - 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9556 is divided by 217.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41882380 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**2 - 2733*p + 910*p + 907*p + 916*p.\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -1908?\nAnswer: 18fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17872 divided by 7\nAnswer: 17872\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 390423*k**2*r**3*z - 8*k**2*z - 4*k*r - 2*k*z + 3*k - r**3 - 106*r**2*z - 10*r**2 wrt k?\nAnswer: 780846*r**3*z - 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 - -0.06. Let s be (1 - 5) + (-551)\/(-152). Sort s, 5, i, 8 in decreasing order.\nAnswer: 8, 5, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 205.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.127212 + -0.128. Round c to 5 dps.\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 83. Let q be 10*(4\/y)\/4. Which is bigger: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. What is the derivative of -4*b**2 + 6*b**2 - 4 + 4*b**t - 2*b**2 wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 592890*l - 2964452\/5.\nAnswer: 2*(l - 1482226)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/6952 and -79\/68?\nAnswer: 118184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -122.4149 times -1\nAnswer: 122.4149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 25, -1857.\nAnswer: -1857, -4, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 7*w**2 + 8*w + 5. Let v be p(-8). Let m = -6 + 6. Let f(z) = -v*z**2 + 4*z**2 + 5*z**2 + m*z**2. Let d(n) = -2*n. Determine f(d(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -363, -1239, -2953, -5787?\nAnswer: -10023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**3\/3 + 7*k**2 - 45*k + 275\/3 = 0.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 1218.9.\nAnswer: -975.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -94490 at least 2458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 720987509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3993*v + 1239 wrt v.\nAnswer: -3993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29506588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 62.3, 0.1, 2, 1\/474?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 24 = -0*x. What is the common denominator of 31\/8 and x\/44 + (-1330)\/(-66)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -32*u + 51 - 71 + 29. What is the units digit of c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 2*s**3\/11 - 9*s**2\/11 - 24*s\/11 - 34. Factor x(f).\nAnswer: 6*(f - 4)*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwrwrkxwrxrruwxr. What is prob of picking 1 k and 3 x?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-3) - 14\/21. Let p be f*3\/9*1. Suppose 0 = -2*a - 4*s - 16, 4*a - 9*s + 4*s = -6. Sort a, 0.3, p in increasing order.\nAnswer: a, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176.1 - -176. Put -19, -2, -2\/3, h in ascending order.\nAnswer: -19, -2, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 324*k + 13963. Let j be o(-43). Solve 35*b = j*b - 36 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*r - 33*r - 24. Solve 2*c - 11 = r*k + 5, -4*c + 16 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -14. Suppose -4*c - 6 - m = 0. Let a(w) = 2*w. Determine a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2\/125 of a kilometer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1 - -6) + 0)\/1. Let q be (-6)\/(-4)*(-1 + -27). Let o be (-4)\/(-6) - (-4)\/q. Put o, 1, a in ascending order.\nAnswer: o, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198323 = 52*h - 501233. Does 123 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.247 + 0.547. Put -6, -0.3, a in ascending order.\nAnswer: -6, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86990 and 2.6?\nAnswer: -226174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 295202 or 295200?\nAnswer: 295202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + o**2 - o**2 + (12*o - 3*o**2 - 12*o)*(5 + 1 - 5) + o - o - o**2 + (5 + 3*o - 5)*(-5*o + 3*o + 0*o).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(65)\/(sqrt(5) - 2*sqrt(5)) + -3 + 1*sqrt(13)) + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 9*i**2 - 10*i - 6. Let c be p(-7). Let r be ((-32)\/3)\/(c\/51). Suppose -11*m - 150 = -r*m. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) -5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001413409146 to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*o**3 + 206*o**3 + 197*o**3 - 595*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1211 + 1113.3. Let q = k - -98. What is the third biggest value in -9, 0.5, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -611418 - 5.\nAnswer: -611423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**2 - 2*v - 5. Let t = 116 + -109. Let i(r) = 7*r**2 + 2*r + 4. Determine t*i(x) + 6*p(x).\nAnswer: x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 26876268 - 10703742 = 5*j, 2*z = -3*j - 22548004. What is j rounded to the nearest 100000?\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9213?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/51*(-1)\/(-4))\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 4. Let q be r(-6). Let j = -3299 + 3298. Put 4, q, j in descending order.\nAnswer: 4, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -147 + -14?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/7 + 16300*r**3\/7 - 472005*r**2\/7 + 2375390*r\/7 + 2863696\/7 = 0. Calculate r.\nAnswer: -1, 8, 22, 16271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + (-10 - (-8 + -14))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*u + 51*u - 245 - 871 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(-5\/4)))\/r)\/((r*r**(2\/3))\/r*r))\/(r*r\/r**0)**(-10) assuming r is positive.\nAnswer: r**(223\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 0.3 (c) -0.4 (d) -11 (e) -3\/1003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 2*a**2 + 2*a - 3. Let d be q(3). Let f = d + 6. Factor 1\/2*t**5 - 1\/2*t**4 - 1\/2*t**3 + 0*t + 1\/2*t**2 + f.\nAnswer: t**2*(t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) -0.02 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) -2\/19 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, 7 in ascending order.\nAnswer: -5, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683*i = 691*i - 21648. Is i a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 913*t + 64. Let k(w) = w**2 - 1827*w - 159. What is -2*k(x) - 5*p(x)?\nAnswer: 3*x**2 - 911*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-68) - 110\/935.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 4578027952?\nAnswer: 4578027952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52706 <= -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iybyyiib. Give prob of picking 3 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 13) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*r**3 + 7 + 122*r - 62*r**3 + 127*r**3 + 7)*(0 + 1 - 2).\nAnswer: r**3 - 122*r - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2210\/(-1445) + 1\/1. What is the second biggest value in 0, 1\/7, -2\/3, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 7*t**2 - 9*t - 33. What is the tens digit of a(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-171)\/15 + (14 - 7) + (-280)\/50\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10\/3 (b) -0.4 (c) 4\/699 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-12) + 5\/3. Let o be (-5)\/(-10) + k\/14. Let n be (-10)\/(-16) - 1 - 0. What is the smallest value in o, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74*y**2 - 1014*y - 2200.\nAnswer: -2*(y + 11)*(37*y + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/48 and 37\/4308.\nAnswer: 17232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*l + 633*l + 21222 = -290*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1473.2093032 to the nearest ten.\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -18066470?\nAnswer: -18066466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 23\/(20\/(-8)*8\/(-20))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26365242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in -123, -0.3, -2\/9, -163\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i + 76. Let b be u(-4). What is the nearest to b in -2\/11, 1\/5, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -4\/3*y**3 - 7\/12*y**4 + 0 + 0*y - 10*y**2. What is the derivative of w(v) wrt v?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z - 21*z + 4*z + z + 13*z. Let a(m) = 35*m**2. Calculate q(a(h)).\nAnswer: -210*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**9*a*a**(1\/6))\/(a**(-2\/5)*a*a)**34)\/((a\/a**(2\/9))**22)**(-3) assuming a is positive.\nAnswer: a**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -2)*13\/4. Let s = f - -22. What is the least common multiple of 1 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 + 84.2. Let h = 113\/7 - 16. Let u = 0.39 - -0.01. What is the closest to 1 in h, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 51*p - 465. Let t be r(39). Which is the closest to -0.4? (a) 5 (b) 1\/4 (c) 2\/97 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -47*c**2 + 4*c - 8. Let y(h) = 179*h**2 - 15*h + 30. Let u(z) = 15*f(z) + 4*y(z). Let n(i) = -3*i + 3*i + 3*i. What is n(u(g))?\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 536 - -647?\nAnswer: b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 17. Let o(p) = -4*p - 85. Let i(a) = 11*f(a) + 2*o(a). Let v(b) = -2*b - 9. Determine 3*i(t) + 5*v(t).\nAnswer: -t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 41711 = 4*i - 11431, -3*p = -9. List the prime factors of i.\nAnswer: 3, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -117 + 4*u**3 + 0*u**3 + 110 as a*u**3 + v*u**2 + w*u + n and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1670361494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 0. Let a = 0.58 + 33.42. Let z = a + -33. Put 2\/11, z, h in increasing order.\nAnswer: 2\/11, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 21*k + 54. Let h be s(23). Let u(d) = d**3 + 4*d**2 + 4*d + 3. Suppose 4*r - 2*r = -6. Let g be u(r). Solve 2*z + g*z = h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323.61 - 323. Put -0.4, 4, -2, d in increasing order.\nAnswer: -2, -0.4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*f**2*g**2 - 1793*a**2*f**2*g + 35*a**2*g**3 + 2*a*f**2*g**3 + 2*a*f*g**2 - 2*f*g**3 wrt g?\nAnswer: 210*a**2 + 12*a*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from {i: 10, n: 6, y: 4}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396))**2 + (sqrt(11)*2)**2 + 4.\nAnswer: -12*sqrt(11) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 6*y - 21*y)*(-1 - 1 - 2 + (-1 + 2 + 1)*(0 - 1 - 1))*(1 + 3 - 2).\nAnswer: 176*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = 32*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:04 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Suppose -8*o - 62 + 206 = 0. What is the closest to o in 0.4, r, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.1*-0.14874.\nAnswer: -0.758574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 89*q + 1580. Determine a(-28).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 34*v - 39, -4*c - 1220890*v + 52 = -1220894*v for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 2625a?\nAnswer: 26250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggd when four letters picked without replacement from ddddggggdgddd?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 318812 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33*-27262.\nAnswer: 8996.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 5:07 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30389 = -575*h + 489 for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/22 and 9 + (-1671)\/324*2.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 49 = -146. Suppose -11*u + z = -93. Calculate the highest common factor of u and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggigttt. What is prob of sequence tt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -l + 31, -2*k + 9 = l - 6. What is the greatest common factor of k and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18a2 + 5?\nAnswer: -1898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211790.\nAnswer: 2, 3, 5, 31, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 436997854014 and 1.\nAnswer: 436997854015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 176 - 253. Let x = c + 151. Let q = 75 + x. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000810637976 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - 0.7. Let q(l) = -l + 16. Let i be q(11). Suppose 0 = 5*h + 10 - i. Sort s, -4, h in descending order.\nAnswer: s, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (12\/(-6) + -1)*(-3 - 79140\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 73*i**2. Let r(x) = -10*x**2 - 27*x**2 + 36*x**2. Give g(r(y)).\nAnswer: 73*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9347\/32 - -448223\/672. Let m = -375 + z. What is the third smallest value in -0.04, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4575)\/(-46750))\/(2\/(-5)). Let n = 1\/187 - a. Put n, -21, -4 in descending order.\nAnswer: n, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 345197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 30687 - -12)\/(3 + -4)?\nAnswer: 37, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2366 - 11*p**3 + 2366 + 13*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.16 or -0.102?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1768084 = -3691916. What is o rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.2 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1838*c**2 + 1809*c. Let o(t) = -5516*t**2 - 5428*t. Let n(p) = 3*o(p) + 10*w(p). Find the second derivative of n(z) wrt z.\nAnswer: 3664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1467, -2931, -4397, -5865?\n\"Answer: -v**2 - 1461*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**3\/6 - x**2\/2 - 2*x + 83. Let f(g) be the first derivative of w(g). Let p(b) = -2*b + 1. Calculate -5*f(n) - 4*p(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, 26, -5, -64, -151, -266, -409?\n\"Answer: -14*u**2 + 39*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -199*d. Let i(t) = -54*t. Determine i(v(s)).\nAnswer: 10746*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, s: 4, f: 5}. Give prob of picking 1 s and 1 v.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67 and 80.\nAnswer: 5360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46253591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -12*h - 42. What is the remainder when 54 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944724 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*g - 1286, -1036 = 6*l - 2*l + 2*g. Let x = 379 + l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -817*j**6\/3 + 1409*j**3\/3 + 1072. Find the third derivative of p(a) wrt a.\nAnswer: -98040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58775*p**4 + 8*p**3 - 14*p**2 - 197398036*p wrt p.\nAnswer: -705300*p**2 + 48*p - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2451? (a) 0.1 (b) 3 (c) -1\/96 (d) 2 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2. Let l(f) = 2*f + 221. Calculate -h(o) + l(o).\nAnswer: 2*o + 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 396371223 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1256 + 6.0956. Let t = -6.5 + o. Let l = -0.47 + t. Which is smaller: l or -0.11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6853, -13780, -20681, -27544, -34357, -41108, -47785, -54376?\nAnswer: -60869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3942)\/(-63) - 6\/(-14). Suppose -h - 6 + m = 0. What is the greatest common divisor of h and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyfbby. Give prob of sequence ffy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 5379 = -5289. Suppose g = 2*j - s, 388 = -3*j + s + 3054. Let w(i) = -888 + j + 7*i. Let z(h) = -8*h. What is z(w(n))?\nAnswer: -56*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert e33 (base 15) to base 5.\nAnswer: 100243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -46. Let b be (-1 + -1 - -42)\/(p - 3). Calculate the greatest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*n + 4*o, 19*n + 127*o - 128*o = 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 15 + 3 + 2*o)*(2*o - 4*o + 3*o) to the form x + h*o**2 + l*o and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1161*u + 116402 = 134978 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -13. Let c(d) = 4*d**2 - d + 4. Let q(g) = -28*g**2 + 12*g - 13. Let s(o) = 10*c(o) + 2*q(o). Let m(y) = -y**2 + y + 1. Give l*s(u) - 28*m(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82326 is divided by 2352?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2221032 (base 4) to base 15\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**6\/90 + 11*g**3\/3 + 18*g**2. Let t(p) be the first derivative of y(p). Let r(d) = -3*d**2. Give r(t(l)).\nAnswer: -48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c - 53. Let l(q) = 2*q**3 + 2*q + 2. Calculate 2*g(r) + l(r).\nAnswer: 2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47097*i + 47097*i + 136*i**2.\nAnswer: 136*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3091\/(-110) + 24)\/((-37)\/370)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - -2. Is 16 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*1008\/3136.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*f + 130*f - 3*g - 36 = 0, -4*g + 4 = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3\/2))**25\/(j*j*j*j**(1\/4))**33)**(-4\/9) assuming j is positive.\nAnswer: j**(479\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 5:21 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 86*n - 2. Let f be p(1). Suppose 0*h + 4*h - 224 = 0. What is the greatest common divisor of f and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33, -209, -677, -1593, -3113, -5393?\n\"Answer: -26*r**3 + 10*r**2 - 24*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, -18, -2, 24?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 4*f - 5. Let d be x(6). What is the second derivative of 13 + d*h - 13 - 7*h**5 wrt h?\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and -1213523?\nAnswer: 1213531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/20 + 0 - 1. Let s(u) be the first derivative of -z*u**5 - 1 + 0*u**4 + 0*u**3 + u + 0*u**2. Differentiate s(v) with respect to v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 - 2*n + 2*n)*(11 - 22 + 14*n + 13)*(0*n - 2*n + n).\nAnswer: 42*n**5 + 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 18\/(36\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -245 (base 6) to base 7\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 24*b**5 + b**2 + 2101*b - 1287. Differentiate s(h) with respect to h.\nAnswer: 480*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 855 - 90 = 96*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 + 10299046*a\/9 - 102990260\/9.\nAnswer: -2*(a - 5149513)*(a - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 2*q**2 - 6*q + 12. What is r(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 205.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -523*c - 3122. What is m(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.128 + 1.052. Let c = 30.22 + r. What is c rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 18*c**2 + 7*c - 8. Let b be g(13). Let l = b + 1453. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -34\/13, 2\/105, -1\/16 in increasing order.\nAnswer: -34\/13, -0.1, -1\/16, 2\/105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321046336?\nAnswer: 2, 17, 1214197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57877, 6, 1, 3 in increasing order.\nAnswer: 1, 3, 6, 57877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3)**(-1\/5))**7\/((z\/(z**1*z))**(-17))**38 assuming z is positive.\nAnswer: z**(-3251\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*z + 34*x - 35*x, -3*z = -5*x + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 4*o - 104. Suppose 0 = z - 5*z + o. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-36))\/((-7)\/303). Let p = l - 184\/7. Find the common denominator of 101\/2 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4) + 1 - (36 - 35).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -398, 5, -0.23, 48 in ascending order.\nAnswer: -398, -0.23, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 - 3*f + (-5*f + 3*f + 3*f)*(-1 + 0 + 5) + 884*f - 503*f - 462*f to the form b*f + v and give b.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 128.1865 litres?\nAnswer: 128186.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111228 divided by 37076\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 448 + 1900 = 0. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let h = -8290 + 66317\/8. Sort -0.05, h, -1, r in ascending order.\nAnswer: r, -1, h, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 1. Let i(f) = 17*f - 162. Give i(h) + 6*k(h).\nAnswer: -h - 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/35, 0.2, 4 in descending order.\nAnswer: 4, 0.2, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(2*3)*21\/(-56)*-32?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 4484796 = -28*n + 3075536. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14896 divided by -4?\nAnswer: 3724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110002012122 (base 3) to base 12.\nAnswer: b5752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/11))**0*(g**(2\/31)*g)**17)**(15\/4) assuming g is positive.\nAnswer: g**(8415\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let i(o) = o + 114. Calculate i(f(w)).\nAnswer: w**2 + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**6\/24 - 3*a**5\/20 + a**3\/3 - 159. What is f in q(f) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 - 100 - (-20 + (6 - 0)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - (sqrt(168)*-1 + sqrt(168) - sqrt(168))*4)\/(sqrt(7) - (sqrt(35)*-1 + sqrt(35))\/sqrt(5)))\/((1*sqrt(6000))\/(sqrt(20)*2)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -520.836 - -520. Let q = j - -0.7. Let z = q + 0.13469. Round z to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -198*t + 99. Let j(a) = -a + 1. Calculate 99*j(c) - n(c).\nAnswer: 99*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*a - 14, 0 = -4*a - 0*t - 3*t - 10. Let b(s) = 2*s - 2*s - 2*s**2 + 9. Let k(f) = -f**2 + 5. Calculate a*b(i) + 7*k(i).\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*n = 213*n - 360*n + 770 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/21)\/(24\/(-112))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 17}. Give prob of sequence iii.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 565.626 rounded to 0 dps?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*f**3*z - 3*c**2*f*z**2 - 10*c**2*f + 4*c*f**3*z + 4*c*f**2*z**2 - 6*c*f - 2*f**2*z**2 wrt c?\nAnswer: 2*f**3*z - 6*f*z**2 - 20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) + -2*sqrt(96)) + 5*(sqrt(130)*2)\/sqrt(10) - (((sqrt(1053) + -1)*-1 - (((sqrt(1053) + -1)**2 - sqrt(1053)) + -2)) + -1).\nAnswer: -57*sqrt(13)\/7 + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-21))\/(18\/84).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 669, 669, 671, 675, 681?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) 0.13 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68865274 to the nearest integer?\nAnswer: 8299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 = -3*q. Let t(k) be the second derivative of -k**5\/20 - k**4\/4 + k**3\/3 - 2*k**2 - 49*k + 2. What is the lowest common multiple of t(q) and 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54552 and 1380?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12634 is divided by 4115.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788 is divided by 79 - ((-63)\/(-84) + (-6)\/8).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*r + 6*r = -23, 8 = w - 3*r. Suppose 0 = -2*o + w - 3. Which is smaller: o or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 5:34 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 3\/4, -0.653, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z**(1\/7)*z))\/((z*z\/((z*z**(5\/4))\/z*z))\/z))\/(z*z\/z**(-1))**(6\/7)*z*z**(1\/11)*z\/(z**(-1)*z)*(z**(-1\/3))**(-30\/7) assuming z is positive.\nAnswer: z**(1249\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 13*m**2 - 3*m - 13. Let y be t(13). Let o = y - -53. Let h = 16 - 10. Solve -z - h + o = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8971218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*o**2 - 718 - 792 - 2*o**3 + 1522 as d*o + u + w*o**2 + k*o**3 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 30 + 15. Let h(n) = 10*n**2 + n. What is the lowest common multiple of h(-1) and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Suppose -4*q = 4, 4*z + 13*q - 14*q + 279 = 0. Let t = z + 82. Sort -2, t, n.\nAnswer: -2, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*n + 7939, -5*n - 8196 + 277 = -3*u. Let v = 303751 + -3370354\/11. Let g = u + v. Find the common denominator of g and -70\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32865?\nAnswer: 3, 5, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 13) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9963*j + 3641*j + 267917 + 425887 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25128 = 25422*c + 319 + 1119 - 1732 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 27*a**2 + 36*a + 36. Let h(s) = s + 1. Let g(l) = -f(l) + 36*h(l). Let u(d) = -d**2 + 60638 - 121281 + 60643. Calculate u(g(m)).\nAnswer: -729*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.376 + -0.164. Let m = -0.14 - o. Which is the nearest to 1? (a) m (b) -3\/8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - p - 6*p)*(5*p**2 - 8*p**2 - 10*p**2).\nAnswer: 39*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2423315 - -3155?\nAnswer: -2420130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -1\/3*q**3 + 22*q - 3\/2*q**2 + 0. What is d(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1153 - 1152. Let a = -99 + 100. Solve t = -p - a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*k + 5598 = 362*k + 1107 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1334 and -2.\nAnswer: 0.2668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 415, 410, 405, 400?\n\"Answer: -5*h + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -321 + 2?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-14)\/((-4)\/2). Suppose 10 = 2*y + 5*b, -y - b = -j*b + 21. Let k(h) = h**3 - 5*h**2 + h - 3. Let p be k(5). Put p, y, 1 in increasing order.\nAnswer: y, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36281 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(325)) + -4)**2.\nAnswer: -40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 16*o**2 - 22*o + 20. Let m be y(-13). Let d = 30 - m. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011876343 to five decimal places.\nAnswer: 0.01188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -22*s**2 + 16. Suppose 4*g + 90 = 26. Let m(j) = -7*j**2 + 5. Let p(t) = g*m(t) + 5*f(t). Let v(z) = -z. Determine p(v(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1381609 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3555626 - -0.133625.\nAnswer: -3555625.866375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:14 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*u - 312 = 90*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 471820 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkdkddd. What is prob of sequence dddk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.856852 to one dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (999\/6)\/(20\/(-200)). Is 31 a factor of s\/(-10) + (60\/8)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114042548*k**4 - k + 61989837.\nAnswer: -456170192*k**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + 2\/3. What is the common denominator of -59\/51 and g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**4\/6 + 2*w**2 - 118300*w. Let z(a) = -12*a - 3. Let j(i) = -35*i - 8. Let x(f) = -4*j(f) + 11*z(f). Determine x(t(n)).\nAnswer: -32*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/67 and ((-42)\/16)\/((-2)\/(24\/(-18))).\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 1759*m**7\/105 - 5*m**4\/24 + 80*m**3 + 10*m**2 + 309. What is the second derivative of n(y) wrt y?\nAnswer: 42216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106859844 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 113421329164 and -4.\nAnswer: 113421329160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(2 + 0 + -3). Let k = 147 + -130. Suppose b = 4*i + 3 + k. Is -5 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 52*p + 4381. Let g be l(-84). Solve -5*y = -g*y - 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537985 is divided by 474.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 1 (c) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*s + 6*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 80*p + 1018. Let y be d(-64). What is the smallest value in 29, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, m: 3, w: 1}. What is prob of picking 2 m, 1 b, and 1 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1295 = -10*f + 13*f - 4*n, 4*f - 3*n = -1736. Let o = f - -1007. What are the prime factors of o?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o + 6 = 0. Let c(a) = 3*a - 1 + 5*a - 2. What are the prime factors of c(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**4\/3 + 341*n**3 + 3059*n**2\/3 - 341*n - 1020 = 0.\nAnswer: -1020, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 33*r + 15. Determine l(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -15334?\nAnswer: -15331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*x**3 - 186*x**3 - 153*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let g(r) = 14709192*r**2. What is g(w(t))?\nAnswer: 14709192*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 3437*p**4\/24 + 4*p**2 - 480*p. Let s(k) = 4*k**2. Give s(m(t)).\nAnswer: 47251876*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*sqrt(252)*-5 + sqrt(252)*1 + 0)*-3)**2.\nAnswer: 444528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjljqjqjjqjqqljjjj. What is prob of picking 2 q?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 1, -7, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -856.8555093 rounded to 2 decimal places?\nAnswer: -856.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1506 + 1514. Which is greater: d or 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26304029, -52607995, -78911961, -105215927, -131519893, -157823859?\nAnswer: -184127825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.7 + -0.3. Let n be (7 - 21)*-1 - 3621\/255. What is the second biggest value in -8, n, 0, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15800000 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 635030410 and 12488?\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080\/91739 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13843779147.99999563 + -13843779477. Let y = 329 + n. Round y to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujbjj. Give prob of sequence ju.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -202, -430, -744, -1144, -1630, -2202?\nAnswer: -2860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in -3, -0.15, -0.4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35303\/228 - 679\/57. Let d = -166 - c. Factor 3\/4*q**4 - 1\/4 - 1\/2*q**2 - d*q + 1\/2*q**3 + 1\/4*q**5.\nAnswer: (q - 1)*(q + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.61 + -0.17. Let k = 0.23 - d. Let u = k - -0.31. Which is the third biggest value? (a) -4 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) - 420\/(-50). Suppose 5*l - 4*y - 28 = 0, 0 = -3*l - 3*y - 0*y + 33. What is the greatest common divisor of x and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 322 and 138.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17932 + 18053. What is the remainder when b is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1190*y - b = 1185*y - 3, b + 17 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajca when four letters picked without replacement from {a: 1, j: 4, c: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2912*d + 1435*d + 47817 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -992.196*-762\nAnswer: 756053.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtdd when four letters picked without replacement from ooodoodtdd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -4 + 2 + -76 + 20 - -1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(100))**2*-6*6.\nAnswer: -72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5163 by -5.\nAnswer: 5163\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + l - 3*l)*(5 - 9 + 7) - l + 2*l - 3*l to the form p + n*l and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7 + 31)*((-4 + 1 + 4)*(-2 + 2*c + 2) - 9*c - 4*c + 4*c) to the form f + t*c and give t.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p\/((p\/(p\/(p**15\/p*p)*p))\/p)*p)\/p)*p\/((p**(-6\/11)\/p)\/p*p)*p*p*(p**(-3)*p)\/((p*p*p\/p**19)\/p) assuming p is positive.\nAnswer: p**(358\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5006120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-2)\/(-1) - 9. Let z(x) = 13*x + 7. Let l(q) = 3*q. Let c(o) = -10*o - 1. Let y(n) = 4*c(n) + 11*l(n). Calculate u*y(d) - 6*z(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**3 + 7*v**2 + 266*v wrt v?\nAnswer: 12*v + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 22. Suppose 3*v + 15 = 0, -w + j*v - 5 = -2*w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-46))**15)**(-2\/5))**19 assuming p is positive.\nAnswer: p**5244","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 17, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9375 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -107208538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + r - 12. Let b(p) = 3*p**4 + 14*p**3 + 17*p**2 - 17. Let j(o) = o**4 + 5*o**3 + 6*o**2 - 6. Let m(i) = r*b(i) + 17*j(i). Solve m(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3548380257 a multiple of 2889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006988 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*p - 51, 9 + 16 = -3*p + b. Let h(f) = 2*f**3 + 5*f**2 - 4. Let v(k) = k**3 + 3*k**2 - 2. Determine p*v(g) + 4*h(g).\nAnswer: g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5 - 632*r**4 + 47336*r**3 + 409536*r**2 + 839808*r = 0.\nAnswer: -4, 0, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 306\/(-81) + (-4)\/18. Let u(b) = -b - 1. Let h(o) = -o - 2. Let y(l) = r*h(l) + 5*u(l). Find the first derivative of y(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315 (base 16) to base 8\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/5))**19*(a\/(((a*a\/a**(1\/2))\/a)\/a))\/(a\/a**(-3)) assuming a is positive.\nAnswer: a**(241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.0414, 52, 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2. Let h(k) be the third derivative of -17*k**8\/10080 + 19*k**5\/12 - 17*k**2 - 1. Let j(q) be the third derivative of h(q). Give j(i(o)).\nAnswer: -306*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 3, -7342, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5694927 is divided by 210923?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 + 43*v**3 + 2 - 13*v**3 - 3. List the prime factors of y(1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.3\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158015 is divided by 888.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155779\/802340 + 5\/(-220)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/343896 and -61\/224?\nAnswer: 1375584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/120)\/((-129)\/(-45) - 3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 43*w - 9. Let p be s(7). Suppose -2*t + 0*h - 10 = -5*h, 3*t + 4*h - 8 = 0. Suppose t = -6*o + 122 + p. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1331 - 62062?\nAnswer: -60531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -904 + 306. Let i = -597 - y. Put -0.3, -0.23, i in descending order.\nAnswer: i, -0.23, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjtv when four letters picked without replacement from xhjhthhvv.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 37*n**2 - 135*n + 3. Calculate s(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 59, 20, -35, -112, -217, -356?\n\"Answer: -t**3 - 2*t**2 - 26*t + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.142 at least -86.56068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*c + 12 = 76, 2*c - 5 = -a. Suppose a*l - 9*l = 382. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 15*m + 6*m - 34*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3064008527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236978 is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43602487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2876387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 16*f - 13. Let a be i(13). Calculate the remainder when ((-22)\/6)\/(a\/(-936)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369998\/45 + 5 - (-4)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q**2 - 2 - q + 18*q**2 + q**3 - 12*q**2. Is j(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014025055 rounded to seven dps?\nAnswer: 0.0001403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -1.7. What is the biggest value in r, -2, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -156 + 363. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:21 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2908 - -0.06011\nAnswer: -2907.93989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6768 and 631727.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*w**5 - 8608*w**4 + 244260*w**3 - 736412*w**2 - 414544*w - 53760 = 0 for w.\nAnswer: -1\/4, 4, 35, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -73 (b) -2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c**2 + 3*c + 3. Determine a(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -0*i + 2*q + 53 - 37, 6*q = 11*q + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 + 4. Let t be (3 + -1)\/((-4)\/(-6)). Calculate the remainder when g(t) is divided by (-13 + 0 - -18)*1\/(2 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40982653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-56)\/(-224))\/(2\/16). Factor 2 + 2\/5*n**y - 12\/5*n.\nAnswer: 2*(n - 5)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25610863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 4*v - 3*d - 16, -v - 4*d = -10. Suppose -s - m = -0*m, 0 = -2*s + v*m + 12. Let r be (-1 - 2) + 4\/6*s. Are r and 1\/28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/2189 and -51\/3781.\nAnswer: 41591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -122.2+-213511.93\nAnswer: -213634.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 4:46 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1719916 - 8768258 = -2*u. Suppose 6*r = r - 5*i + 17620805, r - 4*i = u. Let s = r + -5554163. Round s to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 550942 or 550950?\nAnswer: 550950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -52. What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42e7f (base 16) to base 10.\nAnswer: 274047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 42 = -0*g - 4*t, g - 3*t + 4 = 0. Let r = g - 8. Suppose -2*u - j + 6*j = -33, -4*u = r*j - 1. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*sqrt(52).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -108.4 (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyoy when four letters picked without replacement from {c: 8, k: 4, o: 5, y: 2}.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 100176\/576 - (-2)\/24. Solve 54*r = 25*r - c for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2122 * 4.478.\nAnswer: 0.9502316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2))**(-13\/5))**(8\/5)*a**(-1\/10)\/((a*a**(-3\/2)*a*a*a)\/a)*a**(-7)\/(a*a\/(a*a\/a**(-4\/9))) assuming a is positive.\nAnswer: a**(-2303\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4) + 27\/12. Let l(t) = 5*t**3 - 4*t**r + t**2 + 5*t - 3*t**2 - 3*t**2. Let g be l(5). What is the greatest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 2*z**4 - 3*z**4 + (30*z**3 - 18*z**3 - 29*z**3)*(z - 3*z + 0*z).\nAnswer: 33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37.3 and -4.9.\nAnswer: -182.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 + 0*s**2 + 0*s**2)*(2 + 1 - 2 + (2 - 3 - 3)*(-5 + 0 + 3)) + (3*s**2 - 4*s**2 + 3*s**2)*(3*s**2 - 4*s**2 + 3*s**2) + 38*s**3 - 38*s**3 - 10*s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.71046 times 6?\nAnswer: 10.26276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -702 + 703. Sort 27, 2\/7, y in increasing order.\nAnswer: 2\/7, y, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 113*d**2 + 2504*d + 23. Determine k(19).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 8. Suppose 2*s - 10 = 4*l, 0 = s - 5*s - w*l + 44. Let u be 1\/5*6*5. Calculate the highest common factor of u and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762258 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a29 - -15?\nAnswer: -a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 417.\nAnswer: 1\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from helkellpehpi. Give prob of sequence hep.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5 - 15754*n**4 - 932068*n**3 - 14215046*n**2 - 13298733*n = 0.\nAnswer: -29, -1, 0, 15813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 12*l**2 + 24*l - 1. Calculate s(10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2320 (base 4) to base 5.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4533)\/(24\/(-302)*(-18)\/(-72)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -14*m. Let d be (1\/(-2))\/((-4)\/218). Factor z - 9*z**2 + 49\/4*z**5 - 63\/2*z**4 + d*z**3 + m.\nAnswer: z*(z - 1)**2*(7*z - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906 divided by 8353?\nAnswer: 906\/8353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*m + 20, -316*m + 4 = 5*l - 317*m. Which is greater: 29\/39 or l?\nAnswer: 29\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(6\/8). Let i be ((r - -1) + 1)\/(-2). Suppose -1991*q + 7195 = 1247*q - 1881 - 638. Solve i*l - q*l = -12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -374614\/13 or -28817?\nAnswer: -374614\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (3 - 10)\/((-1)\/3). Suppose -q = -4*c - 4. Solve 0*b = c*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 208560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 35 = -2*z, -4*g - 77 = -z - 4*z. What is the remainder when 73 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3 = -3*w, 0 = 75*w - 71*w + 2*s - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 66*r**2 - 2352*r - 5967. Determine p(38).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21124435 (base 6) to base 11\nAnswer: -392292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from wswssss.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -2) + 11 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/24)\/(13\/208)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-6)\/4*-1. Suppose 11 = -t*b - 4. Let m be (-15 - -2) + 12 + 2\/1. Sort m, 9, b in decreasing order.\nAnswer: 9, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3. Let r = -1.3 - 0.7. What is the closest to z in 3\/4, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 84*o + 205*o**2 + 5*o**5 + 120 - 192*o**3 - 67*o**4 + 427*o**3 + 2*o**4 - 394*o - 190*o**3 = 0.\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29615 - -29613. Which is the closest to v? (a) -3\/10 (b) -12\/19 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/6 - 365*f**2\/6 - 9044*f\/3 + 5908126\/3 = 0. Calculate f.\nAnswer: -167, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 321561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n - 22*n - 36 = 17*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y - 1. Let h be l(1). Suppose -2*g - 2*i - 3 = -i, 5*g + 3*i + 9 = 0. Is 9 a factor of h - (g + -2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h. Let m(n) = n**2 + n - 1. Let c(u) = -6*u**2 - 7*u + 7. Let z(q) = -2*c(q) - 14*m(q). Calculate z(j(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y**2 + 4*y. Let g(u) = -10*u**2 - 3*u. Determine -4*g(q) - 3*x(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -18. Is ((-28)\/b)\/((-2)\/(-150)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 16*k + 15 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -500 (b) 10 (c) 28\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w**3 - w. Let m be a(1). Let c(r) = 10 - 5*r**2 + 0 - 3*r - 2 + m*r - r**3. Let d be c(-6). What is the highest common factor of d and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 - 675\/7. Factor 0 + 2\/7*u + 2\/7*u**3 - h*u**2.\nAnswer: 2*u*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 684108?\nAnswer: 7525188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16 - (-3)\/(-12))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9741967 and 310?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 1102?\nAnswer: -15428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 557599 by 7.\nAnswer: 79657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.85979us in milliseconds?\nAnswer: 0.01585979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, 2\/11 in ascending order.\nAnswer: 2\/11, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/4)\/1 - 3\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**2*t*x**2 - 3617*p**2*t*x - p**2*t - 1103379*p*t*x**2 - p*t*x + 2*p*x + 4*t*x + x wrt x?\nAnswer: 4*p**2*t - 2206758*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 15*q - 23600001*q**2 - 5 - 19*q + 10. Let i be b(1). Round i to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22442 and 6412.\nAnswer: 44884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*(c\/c**(-1\/7))\/c*c)\/c)\/c)**39*(c\/(c**(-12)*c*c*c)*c)\/c**(1\/7) assuming c is positive.\nAnswer: c**(388\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7129455 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-1)\/4). Let l(k) = 3*k**3 + 42*k**2 + 21*k + 12. Let n be l(-13). Let m = n - 242. Solve 2*h = -m*x + u, -2*h + x + 1 = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49042*k + 1165 wrt k?\nAnswer: 49042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-3\/4))**(-44))**(7\/10))**(1\/5) assuming y is positive.\nAnswer: y**(231\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -511 - -493. Let d(i) = -3*i**2 - 55*i - 16. Let u be d(r). Sort -2, u, -39 in increasing order.\nAnswer: -39, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/30 and -139\/558.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3))**40*(w*w\/w**(1\/7))\/(w*w**5\/w) assuming w is positive.\nAnswer: w**(494\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.86 + 0.14. Put 0, b, -0.5 in decreasing order.\nAnswer: b, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193 divided by -4770?\nAnswer: -731\/1590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6 = 3*t. Let a(y) = -8*y**3 + 6*y**2 + 5*y + 5. Let u(z) = 17*z**3 - 13*z**2 - 11*z - 11. Calculate t*u(o) + 13*a(o).\nAnswer: -2*o**3 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 6 - 26. Suppose -d*z - 25 = -5*n - z, 0 = -2*n - 4*z - 16. Calculate the remainder when (-4)\/(16\/(-106))*n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 5)*12*(-3)\/(-21). Let r be ((-63)\/f - 2\/8) + -5. Solve -3*m + r*y - 2*y - 5 = 0, 4*m + 16 = 2*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -2*i. Let s be 47\/(-2)*(-4)\/1. Let m = -50 + s. What is the highest common divisor of i and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + 2.03. Let r = 113 - 793\/7. Let o = -0.04 + -0.06. What is the nearest to r in m, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.61 (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11121 (base 5) to base 8.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a week in hours?\nAnswer: 1372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*-3)\/((sqrt(968) - sqrt(968)*-2) + sqrt(8)).\nAnswer: 3*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*b**2 + 336*b**2 + 333*b**2 - 990*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d + 30*d + 12 = m, 2*m = 2*d. Calculate the greatest common divisor of d and 326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) 2\/13 (c) -0.438 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1424 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + z. Let y be v(1). Let k(n) = 33*n - 30*n + 7*n**2 + 7 + n**2 - n**y. What is the tens digit of k(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1 - 5 + 4 - h**2. Let m(i) be the third derivative of i**4\/24 - 4*i**2. Determine m(l(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18249 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2. Suppose -206 - 19 = -5*w. Let c(r) = 3 - 4 + 53*r - w*r. Calculate c(p(q)).\nAnswer: -16*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 232100 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 4*k**2 + k - 3. Let g be n(3). Suppose 0 = x - 4*x + g. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 - 2 + 2 + (-3*b + 0*b + b)*(3*b - 4*b + 0*b))*(-b**2 + b**2 + 4*b**2) to the form z + q*b + t*b**4 + n*b**3 + i*b**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.711893284 - 0.049857744. Let u = 1.3379641 + x. Let v = u + -3. Round v to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -450000 to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-5)\/1*(-4)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 335 - 109. Calculate the common denominator of 25\/(-10) - y\/(-28) and -5\/17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + -2 + 264 + 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308448 is divided by 25699.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21015749\/160 + -131348. What is the common denominator of (-13)\/(-20)*(2 + -20) and r?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -75\/2. Which is the closest to x? (a) 1 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13143567 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - 348*j + 347*j + 0 + 2 in the form z*j**2 + r + l*j + w*j**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*n = 194 + 217 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((135\/18)\/(-1))\/((-9)\/20850)?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10340981 and 10340977 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 6. Let c be u(4). Let z(b) = 1 - 2 - c*b**2 + 5*b**2 - 1 + 6*b. Calculate z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1919 - 1917 - 81*a + 5747 - 1910 + 86*a.\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 153, 0.16, -63\/2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11812, 47748, 107688, 191632, 299580, 431532, 587488?\n\"Answer: 12002*y**2 - 70*y - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:19 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 433, -199, 4 in ascending order.\nAnswer: -199, 4, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 548 - 2*r**4 - 541 - 2*r**4 + r**2 + 2*r**4 to u*r**2 + j*r**3 + i*r**4 + c + d*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**6\/120 + 13*v**5\/60 + 5*v**4\/8 - v**3 + 40*v**2. What is the remainder when (-6)\/4*(-40)\/2 is divided by q(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**2 - 2*s + 4. Let j(u) = -u**2 - u + 1. Let g = -610 - -611. Calculate g*z(d) - 4*j(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1031 - 0.1231. Suppose -65*r + 59*r = -24. Which is the fourth biggest value? (a) o (b) -3\/4 (c) 2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*q + 20, 4*f + 0*q = 4*q + 48. Let x be (4\/f)\/(2\/12). Factor -z**3 + 3*z + z**4 - x*z.\nAnswer: z**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54015 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 4:09 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14601 and 28731?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1.7 (b) -1\/3 (c) 0.1 (d) 11\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - x - 3. Let m(p) = -p**2 + 35*p + 1. Let i be m(35). Let u(h) = -h**3 - h - 1. What is i*l(g) - u(g)?\nAnswer: g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1510 - -964. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/(k**(-2\/21)\/k)*k**(1\/4)\/(k*k\/k**(-1\/4)))**29 assuming k is positive.\nAnswer: k**(-4205\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + 4 + -1*sqrt(1250) + -4)**2.\nAnswer: 50*sqrt(2) + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 15*c. Let k be m(15). Suppose -4*u - 5*g + 13 + 0 = k, 0 = -2*u + 4*g. Is 4 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 5*j + 1. Suppose 4*k + 49 + 591 = -2*b, 0 = 2*b + k + 631. Let i = -281 - b. What is the remainder when i is divided by w(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 120014716 and 0.1514.\nAnswer: 120014716.1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orrrorwor. What is prob of sequence owor?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2081722.\nAnswer: 2, 1040861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 25481842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 0. Let g be (u\/2)\/(-3 + 2). Sort 5, g, 4 in ascending order.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 13. What is the fourth biggest value in 3, o, -1\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29070)\/(-1275)*10\/(-6) + 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 183 = 5*v, 31*v - 108*v = -2*y - 59*v + 694 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -815*f**2 - 1956*f + 652. Let b(x) = x**2 + 3*x - 1. What is 652*b(h) + o(h)?\nAnswer: -163*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*d**3 - 2*d**2 + 19*d**3 - 44*d**3)*(0*d + d + 0*d).\nAnswer: -7*d**4 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22 + 0.22. Which is the nearest to 0.1? (a) 0.3 (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 + 1188*t**3 + 85180*t**2 - 451188*t + 364816.\nAnswer: 4*(t - 4)*(t - 1)*(t + 151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -122a1 (base 12) to base 4\nAnswer: -12000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11076.9912 + -11084. Let r = 7.05 - 0.05. Let c = a + r. What is c rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Let v = 13 + -8. Let i = v + -5. Put l, i, -1 in increasing order.\nAnswer: -1, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2244 - -733667?\nAnswer: 736133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 63\/5*w**2 - 1\/5*w**3 + 0*w.\nAnswer: -w**2*(w - 63)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/(-12) + (-18)\/(-72). Sort 10, 4, -5, o in descending order.\nAnswer: 10, o, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -56 - n + 50 + 0*n. Let u(p) = -p - 7. Let g(o) = 6*u(o) - 7*v(o). Let d(x) = -14*x**2. Determine g(d(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**27*((((t\/(t*t**(3\/5)))\/t*t)\/t)\/t)\/t*t*t**0*t*(t*t**(1\/19)*t)\/t assuming t is positive.\nAnswer: t**(2513\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 4. Let u(v) = -17*v. Determine u(s(h)).\nAnswer: -17*h + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*r**3 + 79*r**3 - 147*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*i - 193, 151 + 43 = 4*x + 2*i. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69010 at least -69008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/2, -6, -0.07, 73, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-15) - (-26448)\/80. Let w(b) = -162*b - 170*b + q*b. Let f(d) = 10*d + 14*d + 2*d - 4*d. Calculate f(w(l)).\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**5 + 1172*u**4 - 4708*u**3 + 7072*u**2 - 4718*u + 1180 = 0.\nAnswer: -590, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 318438664.\nAnswer: -318438663.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -13, 4, -43117\/11 in increasing order.\nAnswer: -43117\/11, -13, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160517?\nAnswer: 7, 23, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1010*f - 1977*f + 987*f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/63)\/(1\/6). Suppose 4 + 14 = -g. Let q be (-1)\/3 - 42\/g. Does r = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b + -21?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4911, 19651, 44217, 78609, 122827, 176871, 240741?\nAnswer: 314437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 197*i + 2536. Calculate m(183).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**12\/q**(-17)*((q**5\/q)\/q)\/q**(1\/7) assuming q is positive.\nAnswer: q**(223\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = 44. Let l be v*((-1)\/(-1) + 0). Suppose -3*w + 1 - 31 = 0. Which is greater: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 40*x - 351. Give s(29).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 8*m - 5. Let a = -231 - -223. What is t(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 7*n + 16. Determine a(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-15) - 6\/(-30). Is ((-545)\/i)\/((-8)\/16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-137 + 133 - (-14 - 2))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -1564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1578 and 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001178 rounded to six dps?\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = -0*d. Let y(h) = -7*h**2 + 3*h**2 + h**2 + 1. Calculate y(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27823 (base 9) to base 10.\nAnswer: 18894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f + 1113188 - 1113728 = 0 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -231 times -34\nAnswer: 7854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4914\/270 - (3 + 15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 3*v - 8*v - 5*l, 0 = -4*v - 3*l + 82. Suppose -52 = 4*g + 3*m - v, -5*g - 2*m = 36. Is g bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.3980817 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -39, -61, -83, -105, -127?\n\"Answer: -22*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/12 + 2*u. Let p(w) = 3*w. Let y(s) = -260*s. Let a(x) = 195*p(x) + 3*y(x). Calculate t(a(k)).\nAnswer: 38025*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 8 (c) 2 (d) -4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -252337 + 703942. Suppose -21 + 6 = -5*h. Suppose h*l + c = -1395. Round l to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*y + 9*y + 6*y)*(-2 - 39 - 5704*y + 41) to j + n*y + l*y**2 and give l.\nAnswer: -22816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -4586?\nAnswer: 4598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(2 - 5)\/1. Suppose 0*a = -2*c - a + 18, -5*c + 5*a + 15 = 0. Solve b*k + 2 + c = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiibbbbebbsde. What is prob of picking 2 b and 1 i?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3634.\nAnswer: 2, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35351?\nAnswer: 23, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2207 and 16.614.\nAnswer: -36667.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s - 11*s + 27*s**3 + 39*s**3.\nAnswer: 66*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12817 - 710?\nAnswer: -13527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -673 + 670. Suppose 0 = 3*j - 3 - 6. Suppose -6 = -j*f + 6. Sort t, -7, f.\nAnswer: -7, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {j: 3, s: 3, h: 2, q: 1, k: 1, b: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109430691.\nAnswer: 3, 239, 152623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 219*i + 1287. Give w(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 22 = 5*y, -4*y + 3*u = y - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21202475 divided by 848099.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s*s*s)\/s**(-9))\/(s**(-2\/11)\/(s*s\/(s\/s**14))) assuming s is positive.\nAnswer: s**(244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -302*i**4 + 350.\nAnswer: -1208*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271337.\nAnswer: 3, 423779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 7*l**2 - 3*l - 18. Let m be x(-7). Suppose -m*a + 520 = 7*a. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1741569414 to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 4 + (2 - 4) + -1 - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 32*y = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 - -6344.7?\nAnswer: 6344.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i + 3. Let p(a) = -a - 1. Let b(l) = -f(l) - 3*p(l). Let o be (-4)\/12*(-1 + -5). Let j(x) = -x**2 - 5*x**2 + 3*x**o + 2*x**2. Calculate j(b(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 47. Let j be -2*d\/(-44) + (-6260)\/55. Let o = j + 275. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*f - 147. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -13 - 3 - 17 - -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086967967 to the power of 1\/3, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**3 + 5*i**2 - i + 2. Let l(x) = -5*x**3 - 6*x**2 + 2*x - 2. Let v(b) = -3*c(b) - 2*l(b). What is v(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6864584?\nAnswer: 2, 858073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-57.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1161 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34847 + 54660. List the prime factors of z.\nAnswer: 19813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3\/5, 0.05, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278 + 31 + 3*f + 574 + 303 - 10.\nAnswer: 3*f + 1176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.377 + 14.3. Let w = 0.623 - f. Let j = 4 + -3.9. Which is the nearest to j? (a) 4 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44932455 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -568*d + 543 + 1161 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222896751 is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1\/73, -10, 1843?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1145269369 to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v. Let u(t) = -2*t - 3*t + 3*t + 12*t. Give l(u(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4\/2 + 3219*g**3\/2 - 991521*g**2\/2 + 59763657*g\/2 + 4390158624 = 0. What is g?\nAnswer: -64, 283, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 5*k + 4*z, -16266*z = 5*k - 16265*z - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649847 + 2258447 = 6*f + 64*f. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 870 + -856. Which is the smallest value? (a) f (b) 4 (c) -5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59537776 a multiple of 3271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (7 - 51) - (2 - (3 - 17))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4, 2*k = 3*k - v + 10. Let c = k - -8. What is the third derivative of -i**2 + 3*i**2 - 4*i**4 - i**2 - c*i**2 wrt i?\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*o + 3592 = 0, 2*s + 5*o + 1602 = 5186. Suppose -12*q + 10*q = -s. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1271654 divided by 5602.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 - 9)*384\/(-2). What is the common denominator of 914\/u - (112\/(-21))\/4 and -75\/28?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c - 6*c - 7*c + 12*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 85, -5, -3, -1?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -40. Is 8 - h - 4650\/(-3 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397620117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8180195935916 and 13?\nAnswer: 8180195935929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 0*j**5 - 3*j**5 + (3*j - 3*j + 2*j**2)*(-2*j**3 + 0*j**3 + 6*j**3).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - k + 5 = 2*a, -3*k + 0*k + 12786 - 12807 = -8*a + 2*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/940 and (-6 - (-225)\/35) + (1 - (-1128)\/(-231)).\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3357848 divided by -1678924\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 4250756*y - 4517231642884.\nAnswer: -(y + 2125378)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22396 and 4798852?\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236097.\nAnswer: 3, 37, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*x + 188*x - 850*x.\nAnswer: -974*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/212 and -47\/26.\nAnswer: 2756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/81 - 10\/81. Let u = -1.1 + 0.1. Which is the nearest to u? (a) -2 (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 616.4 - 616.39995267. What is v rounded to 6 dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**3 + l**2 - 11*l - 11. Suppose -11*s - 3*s - 42 = 0. What is the hundreds digit of b(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/405 and 107\/1400.\nAnswer: 113400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-61)\/30)*236\/(-59)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(30\/(-9))\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-156)\/108*6\/(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187387 divided by 4795.\nAnswer: 187387\/4795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m**3 + m**2 + 2*m + 2. Let k be d(-1). Let a(g) = g**3 + 7*g**2 - 10*g - 4. Let s be a(k). Calculate the highest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - 7. Let h be (b - 948\/(-72)) + 14\/(-48). What is the closest to -1 in h, -0.3, -2\/19, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1 (c) -0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -22*h - 539. Give r(-24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 4\/21278993 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. What is the lowest common multiple of 18 and 2 + 14 + q + -2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5 = 0, 60*x - h + 1 = 58*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - q - 2. Let o be r(2). Suppose -o*d + 160 + 2380 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -276 + 281. Solve 0 = -3*s - s + 4*a + 20, -2*a = o*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1\/5, -1\/2, 2\/31541, 14?\nAnswer: 2\/31541","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-29 - 0) + 27?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 7*k = -5*k - 18782, -5*b + 46976 = -2*k. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 27*j - 25. Solve 2*d = -3*h + 15, 0 = -h + j*h - 4*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 2 + h**2 - 2*h + 11*h. Give z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 - 8*v - 4. Let s be q(8). Let z be (-866)\/1740 - s\/10. Let m = -2\/29 + z. Which is the closest to 2? (a) 0 (b) m (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 3:31 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*m - 2*u - 10, -u - 5 = 3*m. Which is the closest to m? (a) 5 (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g - 3 - 921*g + 3 + 12*g)*(-45 + 41 + 34).\nAnswer: -27780*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4. Let r = -0.06 - 6.94. Let w = 5 + r. Which is greater: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.8797 (b) 1\/2 (c) -0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzz. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k - 2*p + 53 = 0, 0 = 4*p - 16. Suppose l = 3*w + k, 0 = 2*w + 3*w + 20. Sort l, -2, 2 in descending order.\nAnswer: l, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 18*b - 57. Let u be h(-14). Let n(r) = 7*r**3 + r**2 + r + 1. What is n(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 4. Let b(h) be the second derivative of h**4\/12 + h**3\/6 - 5*h**2\/2 + 60*h. What is b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 239\/(-5) - (-2)\/10. Let k = x - 49. Suppose -3*w - w + 8 = 0, a + k*w + 82 = 0. Which is greater: a or -93?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/423 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47)\/(4*95\/(-380))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x**2 + 2*x**2)*(-4*x + 5*x + 2*x)*(-12*x**2 + 9 - 9).\nAnswer: -36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, m: 1, u: 1, l: 1, o: 2}. Give prob of picking 1 o and 1 e.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 720 by 5.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 7*o - 3*o + 2*o - o + (3*o - o + o)*(-25 - 60 - 17).\nAnswer: -315*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4))\/z*z**(-2\/5)*z)**35 assuming z is positive.\nAnswer: z**161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003264251651 to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**7\/35 + p**6\/6 - p**5\/20 - p**4\/8 + 52*p**3\/3 + 3349*p**2. Find the second derivative of g(y) wrt y.\nAnswer: -72*y**2 + 120*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 2*d**2 - d. Let z be m(2). Let p(l) = l**2 + 10*l + 13. Let s be p(z). What is the highest common divisor of s and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9360775 by -25.\nAnswer: 374431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 z when three letters picked without replacement from {z: 3, f: 1, k: 1, p: 5, s: 1, w: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*m**5 + m**4 + 173*m**2 wrt m?\nAnswer: 1380*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*o - 21*o - 46*o**2)*(o**2 - 4*o**2 + 13*o**2) to the form n*o**3 + a*o**4 + x*o**2 + i + b*o and give a.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 514 divided by 22964\nAnswer: 257\/11482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 7:07 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 10*n - 66, -5*h + 6*h = 2*n + 102. Calculate the highest common factor of 320 and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 2548760.\nAnswer: -48426440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107 + 49*u**4 + 0*u**4 - 25 wrt u?\nAnswer: 196*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, 1, 48, 115, 202?\n\"Answer: 10*o**2 - 3*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328 and 9389.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1877778 and 7974?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 14*d + 18. Let r be q(13). Suppose 5*p + r - 15 = 0. Let y be 13\/5 - (-2)\/5. Solve p*t = -y*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 10 = 26. Calculate the highest common factor of 216 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -1.1. Let u = 5 - o. Which is the smallest value? (a) 2\/3 (b) -1 (c) 2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(252) + (sqrt(252) + (sqrt(252) + sqrt(252)*-1 - sqrt(252)) - sqrt(252)))*1 - sqrt(252))\/sqrt(7))\/(sqrt(84)\/sqrt(63)*2) + 1)**2.\nAnswer: -3*sqrt(3) + 31\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.1, -4, 3 in decreasing order.\nAnswer: 3, 0.1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77*b**2*d**2 + 87*b**2*d*k + 162*b**2*d + 53*b**2*k + b*d**2 + 4*d**2*k wrt k.\nAnswer: 87*b**2*d + 53*b**2 + 4*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**7\/840 + i**6\/120 + i**5\/40 - 23*i**3\/6 - 2*i. Let a(h) be the second derivative of y(h). Give a(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47421\/(-1188) + (582\/(-72) - -8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -492429456 by -27.\nAnswer: 18238128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*15\/(-10) + 0\/(-1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14\/19 + -22\/133. Let s be ((-4)\/3)\/(63\/(-297)) - 6. Solve 2\/7*g + 4\/7*g**2 - w - s*g**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -610, -611, -612, -613?\n\"Answer: -o - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -91. Suppose l*p - 10 = -5*v, -4*p - p + 10 = 3*v. Let u = -4 - -6. Solve -u*j - 13 = 5*t + p, t = -2*j - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 26 + 14 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-54)\/(-336)) - 6. Factor -2\/9*q**3 + 2\/9*q**4 + 2\/9*q - u*q**2 + 0.\nAnswer: 2*q*(q - 1)**2*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33378092 divided by -25\nAnswer: 33378092\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*s = -113*s - 24. Suppose -4*z = 4*w - 20 - 16, -s = -2*w. Solve -3*f - 3 = -3*a, 2*a + z = 5*f + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 3*w**4\/4 - w**3 + 3*w**2\/2 - 3*w - 198. Let x(b) = 3*b**3 - 4*b**2 + 4*b - 4. Determine 4*c(j) - 3*x(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 147*x + 13. Calculate m(-1).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**3 + 3*d**3 - d**3)*(-2 + 1 - 2)*(23 + 10 - 10)*(3*d**2 + 3*d**2 - 4*d**2).\nAnswer: 690*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**4)\/p)*p*(p**(-16)\/p)\/p*(p**9\/p)\/(p**(-2\/19)*p))**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 - 593*p**4 + 3*p**3 + p**2 + 16*p - 208?\nAnswer: 60*p**2 - 14232*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43 + -de3?\nAnswer: -da0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.547697um to nanometers.\nAnswer: 8547.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (112\/(-3) - -2)\/(1\/(-3))?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((9 - 15) + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 44.92357m?\nAnswer: 4492.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-16) + -1 + 1. Let y = -0.1 - 0. Which is the third biggest value? (a) -5 (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 18, k: 2}. Give prob of sequence aa.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22456 plus 1.44?\nAnswer: 22457.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3*o + 15 = 0, 3128*d - 3132*d - o = 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3*1*-6. Suppose -2*r - 5 = -3*p, t*r = -3*p - 2*r + 35. Suppose -4*z - 5*l = 21, z + 4*l = -0*l - 19. Put 0, p, z in ascending order.\nAnswer: 0, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86107.\nAnswer: 7, 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*d + 31*d**2 - 21 + 21 + 13*d wrt d?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2465 (base 10) to base 3\nAnswer: -10101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2. Let k(a) be the first derivative of -a**2 - 5*a + 2. Let h(f) = 2*f + 4. Let r(d) = -5*h(d) - 4*k(d). Give u(r(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1409 (b) -1\/2 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 48\/92669?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-88) - (-2 - 69\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1382 = 28*g - 1634 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1512*b**3 - 2427 wrt b?\nAnswer: -4536*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (681554\/3)\/((-66)\/(-99)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6673686, -6673697, -6673708, -6673719, -6673730?\nAnswer: -6673741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, -1\/7, -13, -7.\nAnswer: -13, -7, -2, -1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/r**(-1\/4))**(-1\/8)*(r*r\/(r*(((r\/(r*r**0))\/r)\/r)\/r))**(32\/7) assuming r is positive.\nAnswer: r**(4005\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 182639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - i**5 - 2*i**5 + (-6*i + 4*i - 4*i)*(-3 + 2 - 1)*(-3*i**4 + 2*i**4 + 2*i**4).\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-3)\/9*(-35)\/(-5). Let h be 3\/(-3) + (-3)\/((-24)\/r). Let k = 146\/3 + -48. What is the third biggest value in k, 0.14, h?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 2*h**2 + 4*h**2 + 7*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 11:03 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3570 and 62050?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(6\/(-64)). Let o(s) = -6*s - 54. Let b be -26*((-3)\/(-3*2) + 0). Let w be o(b). Calculate the greatest common factor of n and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*o*y**4 + o*y + 8*y**4 + 1222*y - 12 wrt y?\nAnswer: -540*o*y**2 + 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h**2 + 6*h**2 - 7*h**2 + (-1 + 1 - h)*(-3*h - 2*h + 3*h) to v*h**2 + b*h + x and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*y - t, 290*y - 6 = 293*y + t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -198 + 190, 3 = 5*p - 4*p - r for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1193039 by -59.\nAnswer: -20221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.2 (b) -1 (c) -1\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*c + 65*c + 9 - 318*c + 64*c + 63*c + 61*c.\nAnswer: -3*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -252 + 250. Put -1, j, -3, -1\/6 in descending order.\nAnswer: -1\/6, -1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*z + 478 = 0, -185 - 138 = 2*s - z. Round s to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**5 + u**5 + u**5)*(1 - 1 + 2) + u**5 - u**2 + u**2 + 0*u**5 + u**5 + u**5 - 3*u + 3*u + u**5 - 610*u**5 + 386*u**5 + 584*u**5.\nAnswer: 366*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 418\/798 + 1\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/1029 and -67\/167874.\nAnswer: 1175118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 113224481 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(11) - sqrt(275)) + sqrt(132)\/sqrt(48))*-5 + -3 + 2)**2.\nAnswer: -910*sqrt(11) + 16179\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 3, w: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1442 - 4272*i**2 - i + 1192 - 880*i**2 wrt i.\nAnswer: -10304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/63?\nAnswer: -5\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210*l**2 + 104*l - 104*l)*((-5*l - l + 5*l)*(4*l - 3*l - 2*l) + 0*l**2 + 0*l**2 + 2*l**2 + (1 + 5 - 4)*(0*l**2 - 4*l**2 + l**2)).\nAnswer: -630*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 289a47 + -6?\nAnswer: 289a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5420*x - 21. Let a be v(-4). Let w = -12618 + a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*p**4 - 73 with respect to p.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(605)*-4)**2.\nAnswer: 38720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31b134 (base 13) in base 6?\nAnswer: 41001535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + 1.29. Let k = y + -0.2. Round k to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/5, -1, -3, -2\/7, 4.53.\nAnswer: -3, -1, -2\/7, 2\/5, 2, 4.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 6*g + 6. Let d be u(-5). Let f = -102 - -107. Which is the closest to -1? (a) d (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2861.223792 rounded to 0 dps?\nAnswer: -2861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.9 + 22. Let g = -2 + p. Let j = 91 - 452\/5. Sort j, g, -4\/7 in decreasing order.\nAnswer: j, g, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010 (base 2) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -4, -3, -23 in descending order.\nAnswer: 2, -3, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + y**2 - 3*y**3 - 3*y**2 to t*y**2 + a + q*y**3 + o*y and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 28*t**3 - 32*t**2.\nAnswer: 4*t**2*(t - 8)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1094 - -1701. Let w(f) = -187*f**2 - 3*f - 4. Let m be w(-1). Let h = s + m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11524 + -11513. What is the remainder when 613 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**3 - 56 + 6*m + 55 + m**3)*(1 + m - 1) to h*m**2 + t*m**4 + a*m**3 + w + n*m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -14209.\nAnswer: -6\/14209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7561*f**4*n + 8595*f*n - n wrt f.\nAnswer: 90732*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 5*c + 0*c)*(-2 + 0 + 5)*(c - 3*c + 0*c + (1 - 1 - c)*(-3 + 0 + 4) + 2*c - 2*c + 2*c - 3*c + 0*c + 0*c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-51)*6\/15.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 12*i + 2. Let j be y(-12). Suppose 4 = -0*m + 2*m. Calculate the highest common factor of j and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {b: 2, i: 1, x: 1, o: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31*(20\/360)\/((-1305)\/(-162) - 8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 27 = h. Calculate the remainder when h is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 104, 6\/17, -1, -3\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25678, 25683, 25688, 25693, 25698?\n\"Answer: 5*h + 25673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9)*-2)*6.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 816265.723 rounded to the nearest one hundred?\nAnswer: 816300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55398, -8, 1, -5, -1.\nAnswer: -55398, -8, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 43?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4 + 194*o**3 + 9408*o**2 - 194*o - 9409 = 0.\nAnswer: -97, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 3*k + 1\/3*k**3 + k**4 + 194 - 3\/2*k**2. Give o(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5306 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in -1, -5\/7, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 4. What is the remainder when (-2*(-19)\/4 - -2)*2 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*n - 160*n + 100*n)*(6*n**2 - n**3 - 6*n**2).\nAnswer: 109*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/5*(-3145)\/(-1887).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 31406 + 31274 = 0. Solve 0 = -w*k + h + 4*h, 3*k = -3*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(g**4 + g**4 + 0*g**4) - 7*g**4 - 4*g**3 + 4*g**3.\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32072 divided by -4009.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 9. Suppose -2*a - 38 = -4*j, 6*a = 2*j + a - 7. Calculate the least common multiple of y(j) and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.1 (b) -908 (c) -2 (d) 2 (e) -0.06 (f) 0.4 (g) -0.121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 h when three letters picked without replacement from {i: 1, h: 2, g: 2, r: 1, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1 - 2 + 2*q - 945*q**2 + 947*q**2. Let u be 4 - (12\/(-4) - -5). Give v(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7911 + 1.336.\nAnswer: -7909.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251646 (base 7) to base 11.\nAnswer: -31862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j. Let p(i) = -16*i. Let l(m) = -13*m. Let u(g) = 2*g**2 + 12*g + 6. Let t be u(-5). Let h(r) = t*l(r) + 3*p(r). What is c(h(q))?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 26 - m - 4*m + 61.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 9, -3, 0, 1 in ascending order.\nAnswer: -13, -3, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97985511 to the nearest integer?\nAnswer: 9899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5190.6 - -4341. Let t = p - -858. Which is the closest to -0.1? (a) -2 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Let j = -3 + w. Suppose -111*l - 538 = 803*l + 1290. Put l, j, 2 in decreasing order.\nAnswer: 2, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/(-7) + 1 - (-87)\/27. Put 0.04, 0.3, a, -1\/2 in descending order.\nAnswer: 0.3, a, 0.04, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 9*s - 22. Let d(j) = j**3 + 9*j**2 + 8*j. Let p be d(-8). Let z be y(p). Let k be (-10)\/(-3 + 8) - z. Solve 2*h = -3*h - k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114173, 1\/5, 2\/7 in decreasing order.\nAnswer: 2\/7, 1\/5, -114173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let b be (-2)\/(-4) - (-2)\/(-4). Suppose 2*j + b*j = -2. Sort 0, j, n.\nAnswer: j, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (150\/90*-450)\/(-10)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -357.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + 95. What is j(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149611242 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*r**6 + 4*r**4 - 21439*r**3 - 28844322*r**2 wrt r.\nAnswer: -1560*r**3 + 96*r - 128634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8039.456 - 4.\nAnswer: -8043.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186 - 183. Suppose -56*p = -52*p. Let x be -2 - -10 - (p - 0). Solve -7 = v*w + x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.642 in -4, -14, 4, -0.076?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfe when three letters picked without replacement from evfwb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 1\/5*m**5 + 0*m**4 - m**2 + 0*m + 4\/3*m**3 + 0. Differentiate d(x) with respect to x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4 + 10648*p - 6442 - 22840 - 2359*p**2 + 907*p**2 + 88*p**3 = 0. What is p?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**7\/280 + u**4\/24 + u**3\/6 - 2*u**2. Let s(c) be the first derivative of j(c). What is the derivative of s(v) wrt v?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.03 (c) -0.98 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1))**(16\/7)\/(y*y**(-3\/4)*y*y**8\/y*y) assuming y is positive.\nAnswer: y**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -47 (c) -34 (d) 6 (e) -5 (f) 3\/130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00969707 to 5 decimal places.\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/5 - 19*s**3\/5 + 64*s**2\/5 - 12*s.\nAnswer: s*(s - 15)*(s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*s - 2496, d = 2*s + 2*s + 645. What are the prime factors of d?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 25\/3*w**3 - 32 - 10*w - 15\/2*w**2. Let d(r) = 0. Calculate r.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*k**3 - 18*k**2 - 1033*k.\nAnswer: 108*k - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3977 + 40.9577. Is k < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 0)*21\/(-14). Suppose 31 = y + 27. Solve h*j = 4*u + 15, -5*u + 9*j = y*j + 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/20 and ((-1)\/(-35))\/(8\/780).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:22 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/668 and 119\/527360.\nAnswer: 88069120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21436.08446978 - 21942.084459. Let p = 506 + a. What is p rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -185, -188, -189, -188?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + r - 165 = 130, -5*v + 492 = 2*r. Suppose 4*l - 64 = 4*p + 64, 2*p - v = -4*l. Calculate the smallest common multiple of 30 and l.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484405*b + 4*b**3 - 2*b**2 + 484405*b + 2*b**2 - 26*b**3.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15763.1556 rounded to 0 decimal places?\nAnswer: -15763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose -52 = -5*v - g*c, v + 3*c + 37 = 5*v. Suppose -1 = k + 4*a, k - 4 = a + v. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -1. Suppose 0 = -u*i - i + 32. What is the smallest common multiple of i and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(0 - 2*z + 0 + 4 - 2*z - 4 - 1 - z + 1 + (3 + 1 - 2)*(-1 + 2*z + 1)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1215 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-92)\/(-8)*186\/713. Let j(g) be the second derivative of 19*g - 7\/2*g**2 + 0 + 1\/6*g**y. Give j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/632 in 17, 2\/29, 1\/9?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12 = 3*o + 2*h, -6 = -o + h. Let r = -215 - -214. Let i be o - 96\/(-20)*r. What is the closest to -1\/5 in i, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 770, 2486, 5658, 10730, 18146, 28350?\nAnswer: 41786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 24 = c + 3*c, -4*k + 2*c + 6 = 0. What is the second derivative of z**5 + 24*z**5 + 4*z + k*z + 3*z**5 wrt z?\nAnswer: 560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 39.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 6. Let l be s(-12). Let h be -3 + -1*(-14)\/l. Put 0.2, h, -3 in decreasing order.\nAnswer: 0.2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468745 to the power of 1\/2, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-five halves of a gram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -287, -285, -283, -281?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/95916?\nAnswer: -5\/95916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32289222, 129156891, 290603006, 516627567, 807230574?\nAnswer: 1162412027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -13*n - 19. Which is smaller: n or 2\/25?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5201 + 5317. What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-1 + 1\/2). Does 2 divide (2 + 1)*(-4)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1134 * 433\nAnswer: -491022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o + 5. Let p be k(0). Is 26 a factor of ((-12)\/p)\/(4\/(-530))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -68890?\nAnswer: -688a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2287.4 * 0.2\nAnswer: -457.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.082?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28558036 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1828, 1899, 2030, 2233, 2520, 2903?\n\"Answer: 2*h**3 + 18*h**2 + 3*h + 1805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*g = 3*o - 547*g + 40, 0 = -3*o + g - 65 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5947376*b**4 - 5938370*b**2 wrt b?\nAnswer: 142737024*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:59 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 562 + -282. Round h to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 5. Let f be x(-2). Put f, 6, -5 in ascending order.\nAnswer: -5, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 80*n**2 - 47*n - 4164. Calculate y(-80).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -d + 2*y, -6 - 8 = -4*d - 2*y. Calculate the highest common divisor of d and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/5*(-140)\/(-21). Suppose z - 39 = -4*s, 2*s - 283 = -5*z - j. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 36*p - 1. Let n(s) = -360*s + 9. Determine -21*d(g) - 2*n(g).\nAnswer: -36*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3075708 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 3*j - 12 = 0, 0 = 917*h - 918*h - 5*j + 36 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**2 + 14*o - 14. Let l(g) = g**3 - 8*g**2 + 2*g - 8. Let y be l(8). Let n(a) = 2*a**2 - 5*a + 5. Determine y*n(w) + 3*k(w).\nAnswer: w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 567\/405 + 1\/(-1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 20. Let l = i + 13.6. Let w = 0 + 0.4. Which is the second smallest value? (a) -1\/8 (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-12)\/72)*3\/1. Which is bigger: p or -0.0346?\nAnswer: -0.0346","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 130062?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 616*r**2 - 184*r**2 + r**3 - 3*r**3.\nAnswer: r**3 - 800*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4350, -4327, -4288, -4233, -4162, -4075?\nAnswer: -3972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -38.2?\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c (base 16) in base 9?\nAnswer: -507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.57338 * 460.9.\nAnswer: 725.170842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h + 22. Let g(j) = -3*j + 3. Determine -3*f(y) + 4*g(y).\nAnswer: 3*y - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**3 + 152*b**2 - 458*b - 31. Determine p(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96845 divided by 184?\nAnswer: 96845\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 5*t**2 - 7*t + 8. Let i be o(6). Suppose -d + n - 10 = -2*d, -n = i*d - 15. Suppose -d*m = -3*m - 26. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 12 = -2*h, 2*x = -h - 2 - 2. Let z = -411.2 + 411.3. What is the third biggest value in 2\/19, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 45 = 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1194 - 918. Calculate the highest common factor of 36 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2971303*m**2 + 3*m - 4. Let k be r(1). Let b = 8748698 + k. What is b rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**2. Suppose 2*i = -44 + 48. Let y(w) = -153*w**2 + 0*w + 0*w + 158*w**i. Determine y(a(o)).\nAnswer: 180*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*b + 45 = a, a - 30 = -3*b. Let l = 46603 + -46603. Solve -5*y - a + 5 = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107\/110 - 17\/10. Let l = 37\/66 + m. Which is bigger: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 615 + -612.54. Let t = z - -0.54. Which is the nearest to -3? (a) 5 (b) t (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5790 and 90.\nAnswer: 17370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-three quarters of a year?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 5 - 3*w - 14)*(-2 + 452*w - 444*w - 3).\nAnswer: -24*w**2 + 31*w - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.154 + -1.14. Let l = -3.014 + j. What is the smallest value in -1.1, l, 0, -2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56883.\nAnswer: 3, 67, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 76 - 76)*((-7 + 3 + 3)*(4*y + 0*y - 3*y) - 13*y + 15*y - 26*y)*(7*y**3 - 5*y**3 - y**3).\nAnswer: -75*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13177 is divided by 1462.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3\/4*a**2 - 81\/2*a + 2187\/4 = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15952 - -308. What is i rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19185.\nAnswer: 3, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9522411, 9522410, 9522409, 9522408, 9522407, 9522406?\nAnswer: 9522405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from xyxxrryx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -50.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5832895.\nAnswer: 5, 1166579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 2*g + 4*g)*(4245 - 9542 + 4814)*(-g - g + 3*g) as b*g + f + z*g**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6674, 6845, 7288, 8141, 9542, 11629, 14540?\nAnswer: 18413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*g - 13, 0 = 2*i - i - g + 4. Let s = -92.53 - -94.3. Let q = s - 5.77. Which is the second biggest value? (a) 0.2 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861*s + 148*s - 7587 = 130*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(605))**2 + 4 + (sqrt(605)*-2)**2 - 4*((sqrt(330)\/sqrt(6))\/sqrt(11) + 3).\nAnswer: 62*sqrt(5) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/3 - n**3\/3 + n**2\/2 + 25*n. Give o(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -983*m + 162189. What is z(165)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 246*y - 249*y + 2*i, -2*y = i - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 18 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 23*m**3 + 2*m**2 + 2. Let z(h) = 132996976*h - 253*h**2 - 2898*h**3 - 253 - 132996976*h. Give 253*x(r) + 2*z(r).\nAnswer: 23*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249 + -248. Solve 7 = 8*j - y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4232, 3, -3\/22 in decreasing order.\nAnswer: 4232, 3, -3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-21.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3615 divided by 5\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 1. Let q(a) = -352*a - 3. Calculate -g(v) - q(v).\nAnswer: 353*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:32 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, -326\/159, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70b0f5f + -4?\nAnswer: -70b0f63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.68 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.91, -2\/11, -2\/9, -0.1 in ascending order.\nAnswer: -2\/9, -2\/11, -0.1, 14.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*g + 46 = g, g - 9 = -w. Suppose 3*f - w = 67. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*r - 14*r - 7*r**5 + (-4*r**4 + 0*r**4 + 2*r**4)*(6 - 6 + 8*r).\nAnswer: -23*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -432.1, -4, 51, -0.05, -5?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.39? (a) 1 (b) -5 (c) -366 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 68 + (-5 + 4 - 2). Let t be 221\/f - 4\/10. Suppose -5*o + 2 + 5 = -4*q, t*q - 6 = 0. Solve -3*r + 4*y = 7, -2*y = -o*r - 5*y - 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 + 1202?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 - k**4 + 2*k**4 - 2*k + 2*k + k**4 + (-k**3 + k**3 + 2*k**3)*(-k + 3*k - 4*k) + (6*k + 0*k - 4*k)*(2*k**3 + 0*k + 0*k).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (147\/441)\/((-14)\/(-18))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -a - 3*a. Let s(v) = -30*v**2 - 30*v**2 + a*v**2. Let z(y) = -3*y. What is s(z(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 290.\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z - 163. Give n(-4).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107825 divided by 107825?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4999, 10004, 15009, 20014?\nAnswer: 25019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 420503749.98839.\nAnswer: 420503749.78839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 887*t**5\/60 - 5677*t**3\/3 - 7942*t**2. Find the first derivative of m(i) wrt i.\nAnswer: 1774*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-three quarters of a litre?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**4\/2 - 13*f**3\/6 - 15*f**2\/2 + 4*f + 3. Is 19 a factor of s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, x: 1, i: 6, l: 3}. What is prob of sequence ilxa?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 109220*k**2 - 2982361317*k + 5964285762.\nAnswer: -(k - 54609)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 65. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61386 - -96871715\nAnswer: 96933101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 m, and 1 z when four letters picked without replacement from {g: 5, m: 7, z: 7}.\nAnswer: 245\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1070, 1093, 1142, 1229, 1366, 1565, 1838, 2197?\n\"Answer: 2*f**3 + f**2 + 6*f + 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*(sqrt(13) + -2 + -1))**2.\nAnswer: -6*sqrt(13) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -630 + 692. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316\/(-1738)*(-22)\/52\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897283?\nAnswer: 233, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 50 = -2*o. Suppose -2*h - o*w = -3*w - 22, -12 = -3*w. Solve -3*f = -2*i - h, 0 = f - 0*i - 4*i - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 5*c**9\/756 + c**8\/336 + 19*c**3\/2 - 4*c**2 - 2*c. Let q(d) be the first derivative of g(d). Let q(p) = 0. Calculate p.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 357*t**2\/4 + 10*t.\nAnswer: t*(357*t + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 4*k**2 + 6*k - 1. What is j(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926126 divided by -1463063?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.496 and 492.\nAnswer: -244.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*j + 10 = 3*j, 14 = -2*l - 3*j. Is 25 a factor of l\/8 + (-865)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -23*y**2 + 56*y + 2. Suppose 0*s - 3*i + 50 = -5*s, 3*i = 0. What is the remainder when (-6)\/s*290\/2 is divided by v(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115*72.32.\nAnswer: -8316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 249378461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 17*x**2 - 7*x - 5. Let o = -34 + 42. Calculate v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1)*i)**(-4\/21)\/(i\/(i**(-3\/7)*i)*i*i**(-2)\/i))\/((i\/(i\/i**(1\/4)))\/i**1*(i\/i**6)\/(i\/(i*i**(-1)))) assuming i is positive.\nAnswer: i**(683\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i + 4*i. Let q be i\/((-18)\/(-8) + -2). Suppose -601 = -q*y + 571. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5536 (base 13) to base 4.\nAnswer: 2321203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1425) - sqrt(57))\/((-3*sqrt(192) - sqrt(192)) + sqrt(192)).\nAnswer: 13*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132015 and 52?\nAnswer: 528060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 2*a - 6. Let m be g(4). Suppose m - 3 = 5*u. Find the first derivative of 2*t**3 + 0 - 2 + 0*t**u wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 15*j - 28. Let x(u) = 2*u**2 - 19*u - 58. Let s be x(12). Let m be k(s). Determine h, given that 2\/5*h**m + 8\/5*h + 8\/5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 5*g - 8. Let j(t) = t + 17. Let y be j(-8). Is l(y) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26140\/9 equal to 2905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40 and -43\/706?\nAnswer: 14120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:28 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -n + 47 - 41, -4*k + 5*n = 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.5, 2\/3, 3\/8, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from {s: 4, c: 4, a: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1636 in ascending order.\nAnswer: 3, 4, 1636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209862.9 millilitres to litres.\nAnswer: 209.8629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 257 - 339. Let v = l - -80. Which is the second smallest value? (a) v (b) 11 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 252.25 to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(0 + 2) + 6. Let r = 11 + p. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11844 is divided by 167?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*3*(-39)\/(-9). Let t be (-1 - 6\/(-4) - 3)*-4. What is the second derivative of 3*f - 2*f**4 + x*f**4 - t*f wrt f?\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9205 (base 12) to base 2\nAnswer: 11110111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-1)\/2)\/(9\/(-1))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833 a factor of 3524973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/32 - 9*t**3\/4 + 243*t**2\/4 - 493*t. Factor a(s).\nAnswer: 3*(s - 18)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2721 (b) -2\/9 (c) 27260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 196092 - 218943 + 29780. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -240131311?\nAnswer: -240131314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*t - 2*i**3 + i**2*t - 616*i**2 - 2*i*t - 5*i + 14*t wrt i.\nAnswer: 12*i*t - 12*i + 2*t - 1232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50cb (base 13) in base 6?\nAnswer: -123344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 28861 and 28871 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 2406 + u - 2435.\nAnswer: u - 4841","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0716 - 71.\nAnswer: -71.0716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*a - 231*a = -94*a + 2530 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = t - 354. Suppose -58*d - 76 = -t*d. What is the greatest common divisor of 133 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 2*g + 8. Let m be y(0). Suppose -2*r + 4*r - 5*n - 30 = 0, r + n = 1. Let l(w) = -m*w**2 - w + 7*w**2 - r*w. Determine l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3391.017075 - 3391. What is q rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 460 - 452. Suppose -j*h + 2066 = -2326. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54459*c**2 + 416548?\nAnswer: -108918*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 0)*(-2*s - 2*s + 2*s) + s + 2*s - s - 57 - 13*s + 57)*(6*s + 4*s**2 - 6*s).\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13 (b) -2 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 8635*p + 8635*p.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p = 632 + 286. Does 20 divide (-8442)\/p*(-1 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, z: 1}. What is prob of sequence zhhh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 738e + -4?\nAnswer: 738a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**2\/2 - 6*h - 28. Give r(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90147*v**6 - 254074*v**2?\nAnswer: -10817640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/85 + 1223\/2210. Let n = m - 153\/130. Let s = 5029 - 5028.7. Which is the closest to 0.1? (a) s (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37.6 and 11.4103.\nAnswer: 429.02728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -39. Suppose 3*y + 250 = 28*y. Calculate the greatest common factor of y and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 321?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -1\/12*r**4 + 0 - 1\/6*r**3 - 8*r + 1\/2*r**2 - 3\/20*r**5. Suppose 0 = -4*q + 4. Calculate a(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*n + 3926 = 96*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4475 and 537?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*v, v + 24 = -4*r - 4*v. Let n(p) = -3*p + 3*p - p. Let m be n(r). Put -4, m, -5 in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50.9999895 + 51. Round x to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 1 (c) -14 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 25*k**2 + 81*k - 1141. Is w(30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j + 10. Let n be i(2). Calculate the highest common factor of n and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1970 and -3\/26398.\nAnswer: 131990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j - 17. Let d be s(-7). Solve 2*t = -d + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48592, -194498, -437670, -778108, -1215812?\nAnswer: -1750782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2 = -2*b, 3*b - 2*t = 6*b + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times -0.08?\nAnswer: 2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 4*d. Let i(q) = q**3 + 11*q**2 - 4. Let r be i(-11). Let f be o(r). Do f and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-8)\/(-1))\/(-4))\/1. Let j(y) = -3*y**2 + 2*y + 4. Let v be j(s). Let t be 2*1*v\/8 - -7. Solve 3*r + 21 = 3*m, t*m = m + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3079500 (base 12) in base 5?\nAnswer: 4313310001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -0.02306 (c) 0 (d) -4 (e) -1.2 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5852 + 1312 = -398*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - ((-2 - (-1 - -1)) + -2)) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*o - 2*d + 8, -2*o = d - 11. Suppose 2*h + 680 = o*h. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2286\/19 and 120 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-6))**(-1\/14)*(((b**(-1\/6)\/b)\/b)\/b)**(1\/39) assuming b is positive.\nAnswer: b**(-1069\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*b - 2510*b**2 + 119*b + 36*b**2 - 4128*b**2.\nAnswer: -6602*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-500)\/(-204) + 4\/(-34). Let t = 33 - 36. Let v = -7 - t. Which is the nearest to 0.1? (a) v (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8135041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -181 (c) 3 (d) 16 (e) 77 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h + 3. Let u be b(-3). Let w = u - -495\/8. What is the common denominator of w and (2\/(-8))\/((-5)\/(-84))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 w, and 1 i when three letters picked without replacement from {w: 3, j: 2, o: 6, l: 2, i: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*c - 33, 0*c + 13 = 2*u - c. Let w(r) = -9*r + 3. Let i(t) = 20*t - 2. Let k(y) = -15*y + 2. Let d(f) = -2*i(f) - 3*k(f). Give u*d(s) + 4*w(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 255 + 245. Let b be (4 - (6 - 6)) + (1 - 3). Solve -k = b*h - 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 396 + -3560\/9. Sort 3, -0.1, u, 1\/9 in ascending order.\nAnswer: -0.1, 1\/9, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*r**4*y**3 + 632*r**4*y - 2*r**3 - 3385*r**2*y**2 + 5*y**3 wrt r.\nAnswer: -912*r*y**3 + 15168*r*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6 - (3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 3*i**4\/2 - i**2 - 2*i - 2. Suppose 78*f = 94*f - 48. Calculate the remainder when x(f) is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from xcqzcqjjczdx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -7*g**6\/3 - 225*g**2\/2 + 13*g - 1. Find the first derivative of x(b) wrt b.\nAnswer: -280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1803194 and 20.\nAnswer: 18031940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -27*j**3\/4 - 825*j**2\/4 + 1077*j\/2 - 198 = 0.\nAnswer: -33, 4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 460043 + -133?\nAnswer: 457710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**3\/3 + 387. Let t(c) be the first derivative of -2*c**3\/3 - 14*c**2 + 40. Calculate l(t(n)).\nAnswer: 4*n**4 + 112*n**3 + 784*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x**2 + 0*x**2 - 4 + 2)*(-2*x**3 - x**3 + 4*x**3).\nAnswer: -11*x**5 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -26.6. Let x = v + 5. Let h = -1 + x. Which is the smallest value? (a) h (b) -0.5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + x + 2*x + 2*x - x + 0*x + (-2*x - 1 + 1)*(1 - 3 + 0) - x - 2*x + 5*x + 6*x + 2*x - 4*x + 3*x - 2*x - 2*x)*(-8*x - 46 + 46).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -5.7, -334?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(6\/51 + 972\/(-459)). Which is smaller: k or 1\/6815?\nAnswer: 1\/6815","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4341409, -8682821, -13024233, -17365645?\n\"Answer: -4341412*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v. Suppose 2*x = f + 8, 3*x - 2 = x - 2*f. Let a = x - 1. Let q(s) = -s - s**a + s. Give p(q(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182581.\nAnswer: 7, 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 80\/(-15)*6\/(-4). Suppose -n = 3*v - 5*v. Suppose -v*f + 398 + 154 = 0. What are the prime factors of f?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -22) + (-56 - (33 + -103)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10459031 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/580 and -101\/31564?\nAnswer: 4576780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12028012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -74*y**2 - 14*y - 165. Let l(r) = 16*r**2 + 3*r + 33. Calculate -14*l(f) - 3*o(f).\nAnswer: -2*f**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-7)*i)\/i*i)\/i)\/i**6*(i\/i**(2\/5))**(-19) assuming i is positive.\nAnswer: i**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 951 = 2*r + f, -2*f + 158 = -3*r + 1567. What is the greatest common factor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 14*a - 4. Let n be h(-8). Let y(q) = q**3 - 13*q**2 + 22*q + 7. What are the prime factors of y(n)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.889300192 - 7839.787703192. Let v = k + 7823.41. Let m = -0.489 - v. Round m to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54217731 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -302.92 + 294. Let k = -2.08 + c. Sort -2, 3, 0.1, k.\nAnswer: k, -2, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 267\/60)*(-35)\/(-42). Which is the closest to 2? (a) z (b) 5 (c) 1\/4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/(3952\/(-78)))\/((12\/(-3))\/2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1872 by -312.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l**2. Let f(t) = -54*t**2. Give s(f(u)).\nAnswer: -20412*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 32 = 7*a. Let b = 62 + a. What is the highest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37058\/17 - -2180. Put x, -2\/87, 3, -0.4 in decreasing order.\nAnswer: 3, x, -2\/87, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 8) to base 15.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108.8 - 105.8. Which is the biggest value? (a) -1 (b) u (c) -350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 4*z = 72 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2*m)\/(m**(-3)*m*m))\/(m**(-2)*m*m*m\/(m\/(m*m\/((m\/m**(2\/3)*m)\/m))*m)*m)*(m*m\/m**(-1))\/m**1*(m**(-2\/5)*m*m*m)**27 assuming m is positive.\nAnswer: m**(1133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 298 - -37?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-4134)\/8) + (-119)\/(-476). Suppose z + 4*z - b = 3*q, -2*q - 311 = -3*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*c + 160, y - 132 = -3*y - 4*c. Suppose 0 = -3*n + 32 + y. Suppose l + n = 3*q, -4 = 3*q - 4*q + 4*l. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-10))**(-33)\/(l**2*(l\/(l\/(l*l**(-1)\/l))*l)\/l*l)**(3\/5) assuming l is positive.\nAnswer: l**(-1656\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -513 by 27.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1908 divided by 3?\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*c - n, 0 = c + 23*n - 25*n - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 53*t + 35*t + 1025 + 1827 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5474 - 3785. Let b = l + -904. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 4, s: 7, u: 4, g: 3}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2428 = 14*p - 10564. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 27.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -6 + (-13 - -1 - 93) - -12.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316264554.\nAnswer: 2, 3, 5856751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + -3*sqrt(66)\/sqrt(6) + sqrt(11) + -2).\nAnswer: -4*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -24*w + 6. Let l be o(0). Calculate the greatest common divisor of 2406 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03574*-2\nAnswer: 0.07148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 793199*b**2 + 65*b + 45096106 wrt b?\nAnswer: 1586398*b + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -2*g + 0 - 1\/2*g**2 - 7\/2*g**3. Does 20 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1430)\/17325 - (-8)\/(-280)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 24\/(-9))*66. Let l = d - 10. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*r + 377 + 89, -m = 3*r + 167. Let g be m\/(-15) - (-78)\/(-585). What is the greatest common divisor of 16 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04379878675 to three dps.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 267\/11 <= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 17*u - 81. Let w be n(4). Put -2\/19, -3, w in increasing order.\nAnswer: w, -3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) 10 (c) -737 (d) -4 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**3 - 5*a**2\/2 + 5*a + 170. Let v(q) = -10*q**2 - 14*q + 14. Calculate -14*m(k) + 5*v(k).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 1:40 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 54209334?\nAnswer: 54209336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwy when three letters picked without replacement from woiyyay.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -391*i**4 - 11*i**3 + 24174?\nAnswer: -1564*i**3 - 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.23435 - 0.2283. Round y to 2 dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145060 is divided by 313.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**29)**(-5\/2)\/(y\/(y**10*y)*y**0*y))**(-17\/6) assuming y is positive.\nAnswer: y**(-867\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1563 divided by 3?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + y + 16, -y = -4 - 1. Suppose 3*h - 2*s = -8, -3*h + 3*s = z*s + 20. Let w be 1\/h + 17\/4. Solve -8*r = -3*r - m + 19, -r - w*m = -13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 + 9*t**2 - 26181*t + 26181*t + 43*t**2.\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -199 + 998\/5. Let u = 2.8 - 3. Let t = 2.15 + -0.15. What is the nearest to -1 in u, q, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*f + 212*f = -48. Suppose 7*n = 9*n - 4*o - f, 2*n = -4*o + 4. Solve 15 = -p + n*s + 2, 3*s + 19 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f**4 + 4*f**2. Let z(l) = -10*l**4 - 4*l**2. Let b(a) = -2*m(a) - 3*z(a). What is the third derivative of b(c) wrt c?\nAnswer: 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 - (-19 - -11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5\/4 + 45*i**4 + 2700*i**3 + 62640*i**2 + 622080*i + 2239488 = 0.\nAnswer: -72, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10021.\nAnswer: 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 18*z - 258. Give c(28).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5780*c**2 + 10010*c**2 + 3062*c**2.\nAnswer: 18852*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*t - m = -267*t + 11, 0 = 7*t - 3*m + 33 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42903802 is divided by 3300289?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:40 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2586156g?\nAnswer: 258.6156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -57093\nAnswer: -57092.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31335 - -55819. What are the prime factors of m?\nAnswer: 2, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/798 and -19\/3?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/7 - (-32)\/112. Let v be (-5)\/o - (-3)\/2. Solve 0 = c + v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 179826 and 5202.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.592 less than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116894044.\nAnswer: 2, 53, 551387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.376*521\nAnswer: -1758.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763708 is divided by 610.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -10\/183, -2, 0 in ascending order.\nAnswer: -2, -10\/183, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46 - 1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g**3*h**3 + 83493*g**3*h**2 - 4*g*h**3 - 9798*g*h - 2*h**3 + 3*h**2 wrt g?\nAnswer: -36*g*h**3 + 500958*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 5*z**2 - 5. Let v(w) = w**3 + 3*w**2 - 2*w - 3. Let g be v(-3). Suppose -2*j = 11 - g. List the prime factors of p(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2*sqrt(1216) + -2 + sqrt(1216) - sqrt(1216)*-2*5) + (5 + 1 + sqrt(1216) - (sqrt(1216) + 1*(sqrt(1216) + 2 + sqrt(1216))))))**2.\nAnswer: 224*sqrt(19) + 59588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 3*x - 1. Let m be b(-2). Let z be 1\/(-3) + (-4)\/6. Put m, -5, z in ascending order.\nAnswer: -5, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-11 - -5) + 2 + 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 209 = 5*d - 3*g, -2*g = -8. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m = 25*m + 22. Let j = 0.0248 + 2.9752. What is the nearest to 0.1 in j, -2, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-20)\/8)\/((-11)\/(-44)). Determine b, given that -81*b**j - 1061 + 5*b**3 + 701 + 285*b + 11*b**2 = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.162 - -0.262. Sort -3, -2\/35, k in descending order.\nAnswer: k, -2\/35, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 3 + 3 - 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/2, -2\/385, -8 in decreasing order.\nAnswer: 8, -2\/385, -1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 86*y - 8*y = -828 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/449 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-37)\/(-407) - (-326588)\/22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 0.3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - f + 6*f)*(0*f**2 - 3*f**2 + f**2) + (f**3 + 2*f**3 - f**3)*(4 + 2 - 5) - 2*f**3 + 2*f**3 - 9*f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1) - (54 + -2). Let h = -31 - t. Suppose 2*w + 41 = 5*o, 2*o + w - h = -0*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -11*z - 6. Let d be ((-1)\/3)\/(-2*(-4)\/(-360)). Let i be (-14)\/(-6) - 1\/3. Solve i*c + d = -z*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 + 85. List the prime factors of 74\/z - (-3 - 33\/(-9)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1873502 + -501.\nAnswer: -1874003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -5, 2\/5, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30688 + -36?\nAnswer: -30735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 8 = -12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -70. Let o = r - -2. Let y = -63\/118 - -2\/59. Which is the third biggest value? (a) 5 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/2 + 1321*q\/2 = 0.\nAnswer: -1321, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -48, 5, 1\/8, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-8)*520\/78.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j - 27 + 7*j + 5*j + 3*j**2 - 4*j**2 as y*j + b + z*j**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -18411624, -36823266, -55234908, -73646550, -92058192?\nAnswer: -110469834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 99*l**2 - 1795 + 6*l - 91*l**2 + 1785 - 4*l**3 + 5*l**3. Let x(i) = 3*i + 2. Let b be x(-3). Calculate h(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + -63. Suppose -2*t = 4*k - 54, -h = -4*t + 3*k + 2*k. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9334 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20220222201 (base 3) in base 6?\nAnswer: 2531031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffggfgffflglllffgf. Give prob of sequence gfl.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14650?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -25. Suppose -m*i - 519 = 105. Let b = i + 667. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-15) - (-24)\/(-90)*2333. Is d greater than -621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 - p - 1. Let t(u) = u + 4. Let l be t(-5). Let c be i(l). Let k = -2 + c. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - a + 1. Let v(x) = 2 - 2*x**2 - 6*x + x - x + 3*x. Let o(m) = 2*b(m) - v(m). What is the second derivative of o(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/12 and 31\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 32727225?\nAnswer: 32727227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44961 from 45.68262.\nAnswer: -44915.31738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - -1)\/((-12)\/88). Let p be (l\/(-462))\/((-1)\/(-2)). Factor -8\/7 + 10\/7*y - p*y**2.\nAnswer: -2*(y - 4)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*p - 9 - 7 + 16)*(2*p**2 - 2*p**2 - 3*p**2).\nAnswer: -234*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 24 = 3*j. Suppose -z + 8 + j = 0. Let g = -14 + z. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41987 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -26*b**3\/3 - 8*b**2 + 109*b. List the prime factors of i(-11).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 3*o**3)*(2 + 5 - 2) + (0 + 2 - 3)*(0*o**3 - o**3 + 3*o**3) + 2*o**3 + 3*o**3 - 2*o**3 in the form x*o + t*o**3 + z + q*o**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057 take away 1791317934?\nAnswer: -1791317934.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*s + 2)*(-s + 3*s - 3*s) + (-2*s - 1 + 1)*(-s + 9*s - s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 30 = -21. Let r = 2 + j. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 75712593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1132443 + -2?\nAnswer: -1133000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.29 in 3\/4, 79, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20455 divided by -4091.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 54. Let s be (2\/(6\/255))\/1. Let u = s - j. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b = 0. Suppose -i + b*i + 2 = 0. Let u be -1*(0 + 3 + 0). What is the smallest value in -0.3, u, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283 divided by -33.\nAnswer: 283\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s. Suppose -c = -4*c. Let j be w(c). Suppose -2*x - 2*n + 24 = j, 3*x + 0*n = -4*n + 35. Is x bigger than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -25281.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*b**2 + 1)*(2 - 3 - 1)*(12 - 12 + 20*b) + (2*b - 6*b + 3*b)*(5*b - 5*b + 2*b**2) to h*b**3 + x + z*b + m*b**2 and give h.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5361 by -1787.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15983.7 + 15985.70038. Let p = 2 - a. Round p to 5 decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24488 and 144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {w: 1, q: 2, t: 2, l: 2, u: 5, e: 8}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 16*g**2 + 3. Let n be o(-16). Let c be -5 + (5 - 4) - -8. Put c, n, -1 in descending order.\nAnswer: c, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 24*o**2 + 33*o - 59. What is the tens digit of s(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from ggjggjgggggggggggg?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/3 + 8*v**3\/3 + v**2\/2 + 244*v. What is the second derivative of o(k) wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 + 20*u**2 - 2*u - 13. What is the smallest common multiple of 16 and t(-10)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6247080?\nAnswer: 2, 3, 5, 7, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/3 + 3142*p**3\/5 + 3772*p**2\/5 + 2*p + 2066. Factor l(a).\nAnswer: -4*(a - 943)*(5*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 4\/7, 283, 9, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 443909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 57391 divided by -12214\nAnswer: -57391\/12214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j + 99 = -3*g + 44*j, -3*g - j = 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {y: 1, b: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 29, 1, -3062, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 14. Let j be m(-10). Put -0.4, 2\/11, j in increasing order.\nAnswer: -0.4, 2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(243) + -1.\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243061 + 183033 = -8299*y + 7687 + 69849 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10 + 5\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5457851 rounded to 2 decimal places?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9372 and 968.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y + 38. Calculate d(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2759*r + 2706*r + 0 + 1)*(0*r**2 + r**2 + r**2 + 2).\nAnswer: -106*r**3 + 2*r**2 - 106*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 2 - 3 - 6*d + 2*d. Let c = -2 - 2. Calculate b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 20. Put -2, 0.4, w, -3\/5 in descending order.\nAnswer: 0.4, -3\/5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 3*c**2 - 12*c + 49. What is n(7)?\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 27*q**2 + 13*q + 28. Let o be c(-3). What is the highest common factor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4343 at least 4272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-84)\/(-15) + 12\/(-20). Let h = 0 - d. Sort -3, h, -2 in descending order.\nAnswer: -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/66)\/((-2356)\/45353).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 + -5)*(3 - 2) + (3712 - -167)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:12 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -153*l. Let d(h) be the second derivative of -h**3\/3 + 256*h. What is d(y(g))?\nAnswer: 306*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-1\/3)*l*l*l*l\/(l*l\/((l*l\/(l*l**(-3)*l))\/l*l)*l*l)*(l\/(l\/(l*l**(-2\/21))*l))\/(l*l\/(((l*l**(1\/23))\/l)\/l)) assuming l is positive.\nAnswer: l**(99\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 2. Let y(k) = k - 21. Let m be y(24). Sort n, -3, m, 6.\nAnswer: -3, n, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-4 - (-13 + 2)) - -3) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:25 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 3*j + 2. Let i be f(2). Calculate the common denominator of 47\/8 and ((-1)\/i)\/(15\/(-198)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 30. Suppose 5*g = 3*o + b, 0 = -g + 4*g + 2*o + 8. Solve g*z = -z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/59))\/l**(-5)*(l*l*l*l**2*l*l)\/l**(-9))**(2\/15) assuming l is positive.\nAnswer: l**(520\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 + -117. Let t(h) = h**3 + 6. Let j(z) = -z**3 - 7. Determine c*t(v) + 6*j(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - h**2 - h. Let c be 2*(-2)\/10*5. Let y(a) = -a**3 + 1. Let n(r) = 5*r**3 + r**2 + r - 6. Let m(q) = n(q) + 6*y(q). Determine c*f(g) - 2*m(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -439003, -439001, -438999, -438997, -438995, -438993?\n\"Answer: 2*s - 439005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h + 2. Suppose 10*p - 32 = 14*p. Let l = p - -5. What is the units digit of j(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/2341 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 44, 92, 158, 242, 344, 464?\n\"Answer: 9*u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - 2 = 5*r, -3*r = -o - 2. Let b(p) = -p**r + p**2 + 4*p**2 - 13. Is b(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:22 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2477.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 33\/12682?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61835 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -26009854 to the nearest ten thousand.\nAnswer: -26010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 7*y. Let x(g) = 23*g**2 + 26*g - 22*g**2 + g - 29 + y*g. Is x(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14465 - -45?\nAnswer: -14420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -29*r**2 - r**3 + 18 + 6 + 14 - 37*r. List the prime factors of a(-28).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8215 + -0.8215. What is the nearest to -4 in -6, x, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y**2 + 174*y**2 - 48*y**2 - 46*y**2 - 67*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-279)\/(-45) + -8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6908, 14263, 21618, 28973?\nAnswer: 36328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**3\/3 - a**2\/2 - a - 92. Let l be p(2). Solve -3*t + l = 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:57 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 185 = -p - 50, -4*p + 3*g = -501. Suppose 2*x = -5*b + p, 135 = 4*b + b + 5*x. What is the remainder when 109 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(2*sqrt(10)))\/sqrt(4).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3768 and 80698.\nAnswer: 968376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -49. Calculate the greatest common divisor of 22 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2218)\/(-10) + -2 + (-2)\/(-10). Let b = p + -132. Calculate the highest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -78. Let i = o + 5. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102102111 (base 3) to base 7\nAnswer: -33166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 51\/(-5) + 17\/85. Let y(l) = 3*l**2 + 30*l - 28. Let q(g) = -g**2 - 10*g + 9. Let s(k) = 8*q(k) + 3*y(k). Give s(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 396026467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5 - 26. Let s(u) = 22*u**3 - 2*u**2 - t + 0 + 8 + u**2. Determine s(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/329 - 38\/47. Let z = 0.2 + 0.3. Sort z, x, 0 in increasing order.\nAnswer: x, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/38672 and 89\/14.\nAnswer: 270704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3)\/(-3*7\/14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*x + 26, -3 = -4*m + 3*x. Let k be m\/(5*1 - (-13202)\/(-2668)). Sort 4, k, -4 in descending order.\nAnswer: 4, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20441 - 2?\nAnswer: 20438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*m**2 - 35*m**2 + 70*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = -0*g + 2*g, 3*u = -5*g + 3. Sort 0, u, -6, 4 in decreasing order.\nAnswer: 4, 0, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-360)\/(-9)*196\/(-140)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1564028 divided by 1.\nAnswer: 1564028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 1940857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112*t**2 - 111*t**2 - 705*t**2 - 1405*t**4 - 503*t**2 wrt t.\nAnswer: -33720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207407268.\nAnswer: 2, 3, 13, 79, 317, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852717989?\nAnswer: 89, 107, 151, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6*10 + 1. Let y be (5 + -6)\/((-3)\/q). Let k(z) = -5*z - 2 + 3 + 4*z**y + 1 + z**3 + 0*z. Determine k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2*(-3)\/24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 4. Let o be x(-13). What is the highest common factor of o and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -32. Solve -3*c = -3*j - 12, 3*j - 10 = -4*c + g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**5\/60 + 7*h**4\/24 - 13*h**3\/6 - 8*h**2 - 1. Let u be m(2). Solve 0 = -3*k - 4*a + 1 - 18, k + u*a + 24 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 - -171. Let z = -27 + 45. Does 17 divide ((-51)\/(-3))\/(o\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -490499 + 810060. Let x = g - 119561. Round x to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/1*(90\/(-25))\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - 0.09. Let z = 16 - 15.44. Let o = q - z. What is o rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -69*f**2\/2 - 169*f + 171. Find the first derivative of j(x) wrt x.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1) + 0)*14\/154\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20499560971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33, 45, 33, -15, -111, -267, -495?\n\"Answer: -2*m**3 + 26*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 537403 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 25 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/3 + 5*r**4\/2 + 20*r**3\/3 + 20*r**2\/3 - 8\/3.\nAnswer: (r + 2)**4*(2*r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4674913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 30. Let d(b) = -b**3 + b**2 - 6*b + 16. Let w be d(4). Let h be (32\/w)\/((-2)\/14). Solve -8*n + h*n = l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20533 minus 26996?\nAnswer: -47529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5086315 and 2197.\nAnswer: 859587235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -1, -0.05, -0.3, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191 - 189. Suppose -4*g - 4*d - 20 = 0, g - d + 0 + 3 = 0. Put g, 0, u in decreasing order.\nAnswer: u, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8299 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3 + 7. Suppose -3*a - b + 99 = -502, m*a - 991 = b. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -9a11a66?\nAnswer: 9a11a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.270898 kilograms to milligrams.\nAnswer: 270898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-22))\/((-162)\/(-36))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**3 - 17 + 4*z - 7*z**3 - 2*z**3 + 14*z**2 - 6*z**3. Let c(g) = -g**3 + 3*g**2 + 3*g. Let b be c(-2). Does 7 divide f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321031 (base 4) to base 16.\nAnswer: -e4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, 0.3, -4, 4, 1102?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -57 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/308*-343*(-139)\/1946\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3 - 2 - 3*a - 46*a**2 + 7*a + 1. Let l(c) = -c**2 - c - 1. Let o(r) = -k(r) - l(r). What is the second derivative of o(n) wrt n?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/253 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -324852695*l**4 + 657986947?\nAnswer: -1299410780*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5ce (base 16) to base 12\nAnswer: a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*u = 43, 106 = 4*h - 5*u + 35. Calculate the remainder when 26 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(-2)\/o*o)\/o)\/((o\/(o**(2\/11)\/o))\/o))**(-4)\/(o**(-4)\/(o**6\/o)*o\/(o\/(o**(2\/11)\/o))*o*o**(4\/5)) assuming o is positive.\nAnswer: o**(1061\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1412 + -1412.02. Let i = 7.1 + -7. Which is the nearest to i? (a) y (b) 0.5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 12 - 38. Solve -g*m = -m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18476042*t**3 + 52505826*t.\nAnswer: -110856252*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122520 (base 6) in base 3?\nAnswer: 12022002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p - 11*p + k, -3*k = 5*p - 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 459, 0.59, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6798920 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 + 2*w**5 - w**5 + (-2*w**3 + 2*w**5 + 2*w**3)*(4 + 0 - 3) - 8369 + 8369 + 155*w**5.\nAnswer: 158*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - p)*(2*p + 0*p - p) + 115*p**2 + 7 - 57*p**2 - 55*p**2.\nAnswer: 4*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(8)\/sqrt(2)))\/((sqrt(960) + sqrt(60))\/sqrt(10)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 620 * 0.05\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1587, 3172, 4757, 6342?\nAnswer: 7927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-3 + 5)*(-28)\/12. Let j be (-4)\/7*x\/(-4). Sort j, 3, 5 in increasing order.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11902 + 166731\/14. Calculate the common denominator of q and -97\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*k - 2010003, k - 2*u + 503450 + 166556 = 0. Round k to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12 - 18 + 15 - 7*z - 11 - z**2. Let n be (-135)\/30 + 1\/2. Calculate j(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - v - 91, 13*i - 15*i + 2*v = -30. Suppose -i*o + 18036 = 8*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-546)*13*21. Solve 5*l - m - 2*m - 10 = 0, -b = -3*l - 2*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6215 + 10552. Suppose 15*v - 3928 - z = 0. List the prime factors of v.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**7\/840 + k**5\/60 + k**4\/8 - k**3\/3 + 17*k**2. Let x(b) be the first derivative of r(b). Give x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 + -115. Let j(k) be the first derivative of -1\/2*k**4 - k**o + 3 + k**3 + 1\/2*k + 1\/10*k**5. Suppose j(h) = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2021 - -12060. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -1\/21, 71\/69 in descending order.\nAnswer: 71\/69, 1, -1\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12675 or 12674?\nAnswer: 12674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m. Suppose 5*s = -5*z + 6 - 26, 2*z = 6. Let k(o) = 9*o + 1. Give s*u(f) + 6*k(f).\nAnswer: -2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose w = 2*p + 61, 87 = -k*p - 0*p - 3*w. Let g = 54 + p. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -9*v + 96. Let p(b) = 21*b - v*b - 7*b. Let z(s) = -3*s. Give p(z(o)).\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -12. Suppose 0 = 4*z - 0 - 20. Suppose -3*v + z*v + n = m, -5*m - v = -2. Solve -m = 2*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*n = 216*n - 140. What is the remainder when 58 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53440223 (base 6) to base 14\nAnswer: 2d04d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 222011869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -411*j**2 - 1 + 2 - 8*j**3 + 822*j**2 - 409*j**2 + j - 2*j to l*j**3 + f*j**2 + i*j + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ab72 (base 16) to base 15.\nAnswer: 60a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*c + 45 = 0. Let f be (c\/12)\/1*-120. Let s be (f\/(-9))\/(4\/(-6)). Solve 4*g + s = d, -4*g - 30 = -g - 3*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1577 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k + 4834. Is p(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r + 3. Give j(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2874 - 0.033.\nAnswer: 2873.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 16. Let v be u(-10). Suppose 2*q - 2 = -v*g, -3*g + q + 4 = -5. Find the second derivative of -3*m**3 + 3*m**3 - m**4 - g*m**4 - m wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-22))\/(-1))\/((-390)\/(-10725))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*t + 11, -7*b + 5*t + 40 = -3*b. Let r(x) = x**3 - 6*x**2 + 7*x - 4. What is r(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11375 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 = 3*x. Suppose 0 = 5*u - 2*m - 4 - 13, -5*m + 20 = 0. Let d = 3.7 - 4. What is the nearest to x in u, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8637.613 rounded to the nearest ten?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(5))\/sqrt(3))\/(sqrt(32)\/(sqrt(8)*1)) + (2*sqrt(384))\/((sqrt(72) + sqrt(72)*1 - sqrt(72))\/sqrt(9)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Let d(l) = -6 + 2*l**2 - i*l**2 - 11*l - l**2. Let u be d(-7). Calculate the greatest common factor of 55 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.063 - -30.063. Let b = -29.999962 + p. Round b to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -7. Suppose -11*u - 87833 + 87844 = 0. Put u, x, 2\/3 in ascending order.\nAnswer: x, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 + 1. Let q(m) = -2*m**3 - 2*m**2 + 4. Let c(a) = a**2 - 20*a + 40. Let h be c(18). What is h*u(s) - q(s)?\nAnswer: -2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.69 - 0.18. Let i = v - 0.01. Put 1\/4, -0.1, i in decreasing order.\nAnswer: i, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 19*i**2 - 5*i**2 - 243*i**2 + 37*i**2 + 203*i**2.\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l + l)*(69*l - 44*l - 47*l).\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 16*i**2 + 7*i - 21. Let o = -12 + 28. Is k(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -955, -1836, -2667, -3448, -4179?\n\"Answer: 25*r**2 - 956*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {u: 2, e: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Suppose 0 = 5*d - 3*p - a*p, -5*d - 5*p = -40. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f + 4. Let z be y(-2). Suppose -25*s + 21*s + 20 = 0. Suppose s*u + z = 41. Solve i + u = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5018400 divided by 4182\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 - (49 - 54)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**3 - 135*j**2 + 317*j - 91. Let z be o(-36). Calculate the highest common divisor of z and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 7614.\nAnswer: -1\/3807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3231 - 14243?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 234809353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Let g be (-11)\/13 + 3 + p. Let d = -263 - -262. Which is bigger: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2103230 (base 5) to base 2\nAnswer: -1000011111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 31, 116, 277, 538, 923, 1456?\nAnswer: 2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 197, 377, 555, 731?\n\"Answer: -j**2 + 183*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 164 = 3*z, 4*o + 4 = 3*o. Let h = -580 + 788. Calculate the greatest common divisor of z and h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10478 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*v + n, 983*v - 978*v - 2*n = -21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 11. Let i be z(-9). Let o = i - -2. Find the second derivative of -o*p + 29*p**2 + 10*p**2 - 24*p**2 wrt p.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-8 - (-456)\/(-60)) - 2688\/80?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.3. Let g(q) = q**2 - 12*q - 3. Let u be g(12). Which is the nearest to z? (a) u (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3408)\/(-21) + (-3)\/(-21)*-2 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - -10. Suppose g*z - 30*z - 258 = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*1\/(-2)*2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 268163 or 268141?\nAnswer: 268141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -592278988*a**3 + 979306*a**2 + 11*a?\nAnswer: -3553673928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1910 - -700. Let k be (-4)\/18 + i\/(-99). Let b = k - 7. Sort b, -2, -5.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 25 = -3*s. Suppose -s = -3*u - 0*u + 5*y, 30 = 4*u - 5*y. Let q(n) = -n**2 + 6*n - 3. What is the units digit of q(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 12:34 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1\/5, -10, 0.3, 1.5, 49, -1?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -2. Let m = -697\/2 - -342. Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*sqrt(22)\/sqrt(2) + -4 + -3).\nAnswer: -15*sqrt(11) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + a - 1. Let b(j) = -3*j**3 - 6*j + 11. Determine b(w) + 4*q(w).\nAnswer: w**3 - 2*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53249 + 78189. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 270 = 300. Let y = -17 - -11. What is the remainder when 94 is divided by (2 + q)\/(((-9)\/y)\/(-3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29802*w**3 - 20305*w**2 wrt w.\nAnswer: 178812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206999587.\nAnswer: 206999587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/25 + -5 + 2\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 + 1?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5 = 0, -421 + 482 = 3*j - v. Suppose 5*n + 5 = 5*y, -5*n + 5 + 4 = 2*y. Calculate the smallest common multiple of j and 9*y - (-4 - -6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s**3 - 6*s**2 - 20*s + 6. Let t(a) = -13*a**3 + 5*a**2 + 20*a - 5. Let k(j) = -5*g(j) - 6*t(j). What is the second derivative of k(b) wrt b?\nAnswer: 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-27 + 8) - (5 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 0.03 (c) -17\/4667\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + -63. Suppose -18 = -k - s. Let w = 69 + k. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2411*p**2*w**2 + 4*p**2*w + 13*p**2 - 3*p*w wrt w?\nAnswer: 4822*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(133) - (sqrt(133)*2 - sqrt(133) - sqrt(133) - sqrt(133)))*-1 + sqrt(133))*-5)\/((sqrt(252)\/sqrt(4))\/sqrt(9) - sqrt(224)\/sqrt(8)) + 1.\nAnswer: 1 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32308 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1 - (-44)\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from momkkkkzkkozotko. Give prob of sequence ozt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 - 22*b + 22*b)*(b**3 + 4*b + 6*b**3 - 2*b).\nAnswer: 42*b**5 + 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 42 = 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**3 - 3*v**2 - v + 32. List the prime factors of q(5).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -929*j. Let s(u) = -2078*u. Let x(c) = -9*g(c) + 4*s(c). Let h(q) = 155*q. Calculate x(h(m)).\nAnswer: 7595*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/375)\/(22*(-1)\/(-20))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19028 and 44?\nAnswer: 209308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(3 - 1005\/336) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21493.78kg?\nAnswer: 21493780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758.\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0811 * 96.81\nAnswer: -7.851291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1929 - -1939. Let p(r) = r**2 - 9*r - 12. What is p(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -19. Let n be c\/6 + (-1)\/(-4). Let b = -233 - -227. What is the closest to -2 in n, 1, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 925 and 520405.\nAnswer: 2602025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -119, -10, 2\/21, 0.\nAnswer: -119, -10, -0.2, 0, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 12*a**2 - 29*a + 28. Determine v(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1061957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w - 72 = 0. Suppose 0*a + 31 = 3*o - 4*a, 0 = 4*a + 4. Calculate the highest common factor of o and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 3*f + 10. What is the hundreds digit of g(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 805 and 40495.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -231*x - 16794. What is m(-72)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 121, 5, -20, -3 in descending order.\nAnswer: 121, 5, 2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 212810 from 93602.\nAnswer: -119208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -417.658 and 2217.\nAnswer: 1799.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncz when three letters picked without replacement from {n: 2, d: 1, k: 2, c: 3, z: 12}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 + 74. Do 399 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500133 (base 8) to base 9\nAnswer: -268775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -3815\/99 = -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = r + n + 3*n, 0 = -5*r - 3*n - 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*g + 12*g + 884. Let a = 188 - g. Let n(k) = -20*k + 1. Calculate the remainder when a is divided by n(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(8) - sqrt(2) - sqrt(2) - sqrt(2)) + sqrt(288)*2)**2.\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 9 = 5*i + 3, 4*q - 24 = 3*i. Let o be (-172)\/q*75\/(-50). Suppose 9*y = 6*y + 387. Calculate the greatest common factor of o and y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/24)*w**23*(w\/(w\/w**(-14)))\/w*w**(2\/5) assuming w is positive.\nAnswer: w**(1013\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 = 7092\/263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 83*o - 1071. Let s be z(13). Let p(j) = 2*j**2 - 1 + 11 - 1. Let t(g) = 17*g**2 - 14 - 27*g**2 + 7*g**2. What is s*p(x) + 5*t(x)?\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 4, 0, -5 in ascending order.\nAnswer: -5, 0, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/24, 3, -5, -1 in decreasing order.\nAnswer: 3, 1\/24, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -0.3. Let c = 554\/55 - 102\/11. Let s = -1094 + 1093.7. What is the nearest to b in s, 0.2, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -58790.\nAnswer: -58790, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 15410007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:26 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*j*k**3 - 350*j*k**2 - 305943*j + 1 with respect to k.\nAnswer: 261*j*k**2 - 700*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/2))\/u*u*u**(-5\/3))**19 assuming u is positive.\nAnswer: u**(-133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + v. Let p be h(0). Let u(s) = s**2 - 7*s + 7. Let y(d) = -d**2 + 9*d - 3. Let o be y(8). Let g be u(o). Sort p, 0.5, g.\nAnswer: g, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6333296575.\nAnswer: 5, 253331863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 1)*(-2 + 2*l + 2) - 3*l + 0*l + 2*l + 6*l - 2*l - 2*l + l + 9*l + 4*l)*(-17 + 14 + 38).\nAnswer: 665*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8 + 3. Let d = 0 + -1. Let k = 4.1 - 4. What is the closest to k in d, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(57)\/sqrt(3)*-2*-6 + -4)**2.\nAnswer: 864*sqrt(19) + 221632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**3 + o**2 + 12*o - 2. Let y(w) = -3*w**3 + 10*w - 1. Let a(d) = -5*c(d) + 6*y(d). Let f(z) = 6*z**3 - 4*z**2 + 4. Give 4*a(s) - 5*f(s).\nAnswer: -2*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggggggtgggggggg. What is prob of picking 3 g?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 16 + 11)*((-1 + 3 + 0)*(2 - b - 2) - 2*b + 0 + 0)*(2 + 0 + 0).\nAnswer: 192*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-63) + (-384)\/1246. Let w = 93\/178 + g. Which is the biggest value? (a) 0.3 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*i + 16 = 0, -2*k + 2330*i + 16 = 2329*i for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g + 3 + 11 - 12 - 1.\nAnswer: 26*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqmyy. Give prob of picking 2 y and 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.2, 4, 0, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 12, 10, 8, 6?\n\"Answer: -2*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mojs when four letters picked without replacement from osmkj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + y + 2. Let b(c) = -c + 3. Let v be b(5). Give t(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**4 - r**3 + r**2 - 1. Let a(c) = -158*c**4 + 5*c**3 - 5*c**2 - 348*c + 5. Let j(d) = -a(d) - 5*o(d). Find the second derivative of j(q) wrt q.\nAnswer: 1716*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.146 or -3\/106?\nAnswer: -3\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21\/4 - 6. Suppose -4 = -2*b + 2. What is the nearest to 0 in b, f, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5195?\nAnswer: 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 + -65. Let u = -54 + z. Let q be (-6)\/u*(-10)\/15. Let c(l) = 3*l**3 - l. Give c(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.188 - -0.188. What is the nearest to 1 in -0.7, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 3*s**2 + 2*s**2 + s - 2)*(0*s + s - 8*s) in the form a*s**3 + h + j*s**2 + f*s and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 5*g**2 - g. Let b be o(-5). Solve 0 = p - 2*y + 4*y + 1, 0 = -4*p + b*y - 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 11133 = -61905. Suppose 9*a - u = 7*a. Let r = -2870 + a. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 7 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*x**4 + 2*j*x**3 + 31131*j*x + 180672*x**3 - 2*x wrt x.\nAnswer: 12*j*x**2 + 12*j*x + 1084032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - (0 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -56, -45, -34?\n\"Answer: 11*p - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -210787\/16153002 - 104\/12483. Calculate the common denominator of w and -125\/42.\nAnswer: 27174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4562 - 72971794*n**2 + 4562 + 72971792*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.53884 + 0.09116. Let g = 41.9 - b. What is g rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o - 39*o = -91*o - 1980. Which is greater: o or -166?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225121669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.6. Let y = j + -0.4. Let s = -537\/7 - -77. Which is the smallest value? (a) s (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w + 2*w. Suppose 2*d = w*d + 346. Let u = d - -425. Calculate the greatest common divisor of u and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 312680000 to the nearest one million.\nAnswer: 313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 25 - 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkwjkjh. What is prob of sequence jh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 714 divide 988890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2015264 and 15904?\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from yqyyyqyyqyqqyyyy?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.2 - -14. Let n = y - -0.96. Let b = n - -0.240011. Round b to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 4. Let s(j) = -183*j - 69. Let y(f) = 54*f + 20. Let i(o) = 5*s(o) + 17*y(o). Calculate 3*i(c) + 4*l(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6*(-666)\/(-4). Let r = m + 116. Suppose -8*a - r*a = -2405. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 - 1\/(-1)*0. Let v = k - -77. Determine q, given that -q**3 - v*q**5 + 5*q**4 - 2*q**2 + 72*q**5 + 3*q**4 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16413, 64954, 145621, 258414, 403333?\nAnswer: 580378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 339682270 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 939*t**2 - 86733*t + 2499525.\nAnswer: -3*(t - 175)*(t - 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/65)\/q**(-4\/3))**5 assuming q is positive.\nAnswer: q**(254\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**9\/945 + w**6\/48 + w**4\/12 + 7*w. Let z(q) be the third derivative of t(q). What is the second derivative of z(x) wrt x?\nAnswer: -192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 429*o**2 + 784*o**2 - 2*o - 432*o**2 + 0*o to the form c*o**2 + f + j*o and give c.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - 7 - (-3)\/(42\/32). Which is the closest to t? (a) -1 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*g + 89*g = -1998. List the prime factors of g.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.5 - 37.5. Let p = i + 26. What is the third smallest value in p, 4, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, q: 1, i: 1, y: 1}. What is prob of sequence hki?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 243*n**5\/20 - 583*n**4\/24 - 815*n**2. Find the second derivative of x(r) wrt r.\nAnswer: 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*m**3 - 5*m**2 - 7*m + 2 + 12*m**2 + m - 2*m + 47*m**3 to the form d*m**3 + f*m + c*m**2 + u and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -78, -1\/272?\nAnswer: -1\/272","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1100290*i**4 + i - 134561 wrt i?\nAnswer: 13203480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3940553, 7881042, 11821473, 15761846?\nAnswer: 19702161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 + 148*x\/5 + 5476\/5.\nAnswer: (x + 74)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 7 = -2*v - 7*a, 0 = -2*v + a + 3. Suppose -p = -5*p + 16. Let d be (v\/3)\/(p\/120). Is 20 != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + -1.98. Let p = z - -5. What is the nearest to -0.1 in p, 5\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-6)*-1)\/(48\/(-72))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161 or 165?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*h + 154*h + 304*h as s + d*h and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 48*w**2 + 27. Let q be i(48). Calculate the highest common divisor of q and 1593.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2013 and 165027?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1060 + -1054. Solve 2*x - 2 - b = i, 4*x = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*d + 5*c, -3*d - 4*c = -9*c + 6. Suppose 2*r = -0*j + d*j + 23, 4*j = r - 14. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144 * -0.1.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 - 861828*i + 61895625132 = 0. What is i?\nAnswer: 143638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1483*p + 543*p - 99640 for p.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 662 = -692. Let x(t) be the first derivative of -14 - 1\/2*t**2 - 8*t + 1\/4*t**4 + s*t**3. Calculate x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67615 is divided by 390.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:43 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 11 + 802*j - 1614*j - 1 + 3*j**2 + 812*j.\nAnswer: 3*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1167 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllu when four letters picked without replacement from {b: 6, l: 7, u: 1}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73486 divided by -406.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 186519 = 183639. Calculate the highest common divisor of 2286 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**7\/21 - 5*f**4\/12 - 5*f. What is the third derivative of p(v) wrt v?\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3975466 (base 11) to base 9\nAnswer: 13836120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*g - 2*q + 10, 4*g - 36 = 4*q. Let m be 2\/(-2) - 13*-1. Suppose -2*x + m = -24. Calculate the remainder when x is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 60\/8 - 47\/(-2). What is the derivative of -16 + x*d + 16*d - 56*d wrt d?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 85 + 168 - 17*n**2 - 5*n**2 + 9*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/61270 and -81\/10?\nAnswer: 61270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 23 + 1 = 0. Let j = w + -11. Put j, 0.1, 5 in descending order.\nAnswer: 5, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.21 (b) 1 (c) -4 (d) 4 (e) -4214 (f) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (63 - 63) + (-1547)\/(-264) + 2\/11 and -61\/44.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*w**2 - w + 0*w + 0*w.\nAnswer: 87*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10658929 + 120458929 = 0. Round c to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -f115 (base 16) in base 8?\nAnswer: -170425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.4 - 9. Let i = 2 + -1.5. Which is the biggest value? (a) i (b) g (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 11. Let l(y) = 708001*y**2 - 4*y - 5. Let c be l(n). Round c to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -10*o - 45. Let g be i(-9). Suppose -g = -2*s + 185. What is the remainder when s is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 10*x**2 + 10*x + 21. Let j be i(9). What is the highest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4 = -2*v, 161*v - 10 = 162*v - 2*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -13*i + 246 - 30 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a - 2. Let f(x) = -55*x**2 - 12. Let b(h) = 23*h**2 + 5. Let q(y) = 12*b(y) + 5*f(y). Give o(q(g)).\nAnswer: -8*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1385*k**5 - 47381*k**3 - 2*k - 75493863?\nAnswer: -27700*k**3 - 284286*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -945 and 3.\nAnswer: -942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108699891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2014.9035 to zero dps.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*w**4 + 3*c*w**2 + c + 12377*w**5 + 2*w**2 - 115*w wrt w?\nAnswer: -24*c*w + 742620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 4*m. Let a be d(-2). Suppose -l - a*c - 4 = 0, -l + 8 = -2*l - 2*c. Let n be (-2)\/(-3)*l\/20. Is 1 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(120))\/sqrt(3) + sqrt(3240)*1)\/(-1*sqrt(40)\/sqrt(5) - (sqrt(48) + 1*sqrt(48))\/sqrt(6)).\nAnswer: -10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 2*s**2 + 2*s. Let k be r(2). Let f(t) = -4 - k + 2 - 7*t + 0 - t**2. What is f(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57068 and 46692.\nAnswer: 513612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a - 2dc75?\nAnswer: -2dc59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 46*q - 6. Let o(b) = -550*b + 75. Let t(a) = 25*j(a) + 2*o(a). Let n(z) = z. Determine n(t(w)).\nAnswer: 50*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5269 + 5822. Solve -561 = 4*r - p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**6\/3 - 31*i**4\/4 + 25*i**3\/3 - 59. What is the third derivative of c(s) wrt s?\nAnswer: -120*s**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4296 divided by 3\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1 + (-5 - -11). Suppose 0 = -2*y - i - 2*i + 10382, -d = -i. Suppose a + 2*n - y = 0, -5*a = 4*n + 2560 - 28515. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85225 (base 12) to base 16\nAnswer: -2aafd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-3)\/(-12)). Let q = 239 - 239. Suppose -5*o + 112 = -q*i + 4*i, 4*i - 80 = 3*o. Solve r*c - 2*l = 12, 3*c - c + i = -5*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0 (c) 1\/3 (d) 5 (e) -0.62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/4)*z)**(-12\/5)*(z*z**(-2\/7))\/z*z\/z**(-8) assuming z is positive.\nAnswer: z**(158\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 241542312740+-12\nAnswer: 241542312728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3366 + -3357. Solve -p = -3*t + 9 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/52968 and -23\/33105.\nAnswer: 264840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -27. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2972 and 10.\nAnswer: 14860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**10*n*(n*n**(-27)*n)\/n*n*n*((n\/n**(-2\/87))\/n)\/((n*n\/(n**(-1\/24)\/n))\/n) assuming n is positive.\nAnswer: n**(-9757\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1315046 + 1256?\nAnswer: -1313460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1315 (base 10) to base 4\nAnswer: 110203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 7:51 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from egqekkiqt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -188*j**2. Let i(s) be the third derivative of -s**4\/24 + 385*s**2 - 6. Give i(k(y)).\nAnswer: 188*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/6 and 61\/666.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 7 - (0 - 2). Let h(n) = -n**2 - 2*n. Let a be h(f). Find the first derivative of -5*p**3 + a*p**3 - 30 + 33 wrt p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 7*l**2 - 6*l - 6. What is the tens digit of c(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 + 33830*x + 135240 = 0.\nAnswer: -6762, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3080914 is divided by 62875?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:08 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08225 and -4?\nAnswer: -0.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6eb30 - -dc?\nAnswer: 6ec1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*s - 7 - 2 + 412*s + 186*s - 120*s.\nAnswer: 540*s - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-164)\/20 + 3\/15. Let b be ((-44)\/10)\/(q\/20). Let a be (53 + -8)\/5*1\/1. Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 525\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5481 is divided by 784?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q - 1. Let x(z) = 7*z**3 - 3*z**2 - 12*z - 8. Let w(k) = k**3 - 3*k - 1. Let u(p) = -5*w(p) + x(p). What is -12*s(d) + 4*u(d)?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 684.4611 - 684.442698885. Let g = z + -0.0184. Round g to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v = -52*v - 0*v + 2160 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 30*i + 0*i)*(-6*i + i - 16*i) + 66 + 14*i**2 - 66.\nAnswer: 497*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 4*n**2 - 2*n - 2. Let i be c(-4). Let l = 101 + -97. Let u(g) = 3*g**2 - 13*g + 6. Let y be u(l). Solve -y*f - f = i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q + 1. Let y(m) = 9*m + 1. Determine -4*n(v) + 5*y(v).\nAnswer: 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 7*y**2 + 14*y + 4. Let a be f(-9). Let l be (0 + -2)\/(-2) - -4. Calculate the greatest common divisor of l and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 23*m**2 - 35*m - 32. Let r be q(5). Which is greater: 1108\/3 or r?\nAnswer: 1108\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 10 = 0, 3*u + 3*l = 9. Solve 3*q - 4 + u = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/5 + 136*p**4\/5 + 128*p**3\/5 - 412*p**2\/5 - 674*p\/5 - 268\/5 = 0.\nAnswer: -67, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13735?\nAnswer: 5, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-1\/2))*u**(-6\/11)*u*u*(u**(-3\/2)\/u)\/u*u*u\/(u\/u**(-1)) assuming u is positive.\nAnswer: u**(-17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 31*t + 25. Let d(a) be the second derivative of t + 0*a**2 - 2\/3*a**3 - 3*a + 1\/6*a**4. Find r, given that d(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 152*d**4 - 8*d**3 + 8*d**2 - 8*d - 80. Let l(s) = -2*s**4 - s**3 + s**2 - s + 1. Let b(t) = j(t) - 8*l(t). Differentiate b(y) with respect to y.\nAnswer: 672*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, -0.3, 0.61, -2\/7, -12\/5, -4?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-260)\/(-30))\/(2\/12) - 2898\/1035?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 1.5. Let h = 1.52 + n. Let w = h - 0.42. What is the second smallest value in w, 0, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/7982)\/((4158\/819)\/(-66))?\nAnswer: 2\/307","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-10 - 1) + -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**3 + d**2 - 3*d - 3. Let l(i) = 2*i**2. Let t(r) = 14*r**3 - 8*r**2 + 5*r + 5. Let q(m) = -6*l(m) - 2*t(m). Calculate 3*q(g) - 10*z(g).\nAnswer: 6*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25537245?\nAnswer: 3, 5, 23, 74021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3094983787.\nAnswer: 7, 442140541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = 2*r. Let l(x) = -x - 3. Let m be l(-4). Let t be (-2)\/((-1)\/m) - 33\/(-11). Sort -2, r, t, 4 in descending order.\nAnswer: t, 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -684 * 5.\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(28)*2)\/sqrt(4) + sqrt(700) + sqrt(700) + 1)**2 - (sqrt(847)*3*6 + -2*sqrt(847)*-2)**2.\nAnswer: -406554 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -14\/39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/35)*f*f*((f*f**29*f*f)\/f)\/f)**(-7\/3))**(4\/11) assuming f is positive.\nAnswer: f**(-4472\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*v**4 - v**3 + 60*v**4 - 111*v**4 + 29*v**2 as p*v**4 + m + t*v**2 + b*v + d*v**3 and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(1820\/(-120)) + (-232)\/(-390).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:32 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -29*v + 609. Let j(a) = 7. Let z(i) = h(i) - 87*j(i). Let l(q) = -q**2 - 18. What is l(z(p))?\nAnswer: -841*p**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 9 = 5*h, 3*g + 24 = 7*g - 4*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 29261*a**2 - 4*a - 2. Let r be c(-1). Suppose -2*x + 736737 = -r. What is x rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -2*r**7\/15 + 37*r**6\/20 + 191*r**5\/30 + 11*r**4\/2 - 2*r**2 - 275*r - 2. Let k(t) = 0. What is t?\nAnswer: -1, -1\/2, 0, 66\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*m**2 + 145*m**2 + 3*m**3 - 6*m**3 + 144*m**2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19\/5, -106, -3, -9?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Suppose o - 2*o - 5*n - 470025 = 0, i*o + 939985 = 3*n. What is o rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 13*c + 9. Suppose 0 = -2*x - 3*r + 24, -5*x - 49*r = -48*r - 47. Suppose l + 2 = 0, x*k - 11*k + 4*l = -32. What is f(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 48. Let y be (-1 + x)*(-1727)\/(-11). Let h = y + 244. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let r(l) = -232*l. What is n(r(w))?\nAnswer: -232*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (42 - 2 - -1) + (-409 - -407) + 1\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34647 - 116652 = -71*f - 14979. What is the highest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4241*g - 4140*g + 1978 = -951 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -193 (b) 165147 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 16 = -5*f - 3*c, 4*c - 26 = -2*f. Solve 0 = -f*j - 2*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 46.8 (b) -2\/9 (c) -52\/3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-9) + 8\/(-36). Suppose 4*u = -4*k - 4 + 32, -21 = -3*k - 5*u. Let v be (4\/7)\/(10\/k). What is the nearest to -2\/9 in 2\/15, v, w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2176055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -499 divided by 1289\nAnswer: -499\/1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icq when three letters picked without replacement from qdicqiqqdinnqinivd.\nAnswer: 25\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -2*w**3\/3 - 1. Let f(o) be the first derivative of -o**2 + 3. Determine f(h(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13441\/21 + 4 + (-130)\/35. Let x = 633 - p. Which is greater: x or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -48191.\nAnswer: -8\/48191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 5661.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2214b (base 14) to base 6.\nAnswer: 1434155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*a**4 - 493656*a**3 + 11638*a**2 - 77?\nAnswer: 456*a - 2961936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 10*v**2 + 7. Let l(q) = 2*q - 2 - 4 - 3. Calculate the smallest common multiple of j(-10) and l(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -0.92.\nAnswer: 19.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 equal to -1.91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1953 = -400*c - 374*c + 711*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170998*f**3*p**2 + 2*f**3 - 314*f**2*p**2 + 2*f*p**2 + 589*f + 2 wrt f?\nAnswer: -1025988*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.610027 to two dps.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 49 + 76. Let b(z) = -z + 25 - q. Let l(h) = -5*h + 1. Calculate 4*b(o) - l(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + 10*d**3 + 12*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/15 - -1\/5. Let i = 50\/7 - 52\/7. Let t be -1*1*4\/(-16). Which is the closest to i? (a) -1 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -12. Let m be (-8 + -3)*q\/(-2). Let d(l) = l**3 + 11*l**2 - 8*l - 8. List the prime factors of d(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 2. Let c be -11 - -10 - (20 - 0). Let z(q) = 9*q - 21. Give c*l(m) - 2*z(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*w - 60, -2*w + 3*a - 10 = -a. Let g = -14 - w. Let h be 1680002 + 1 + -2 - g. What is h rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406339651.\nAnswer: 233, 487, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b**2 + 5*b - 11. Suppose -2*o - 12 = 2*o. Let j = 10 + o. Let w(m) = 4*m**2 + 2*m - 5. Give j*w(x) - 3*a(x).\nAnswer: x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9) + 1\/(48\/(-34))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v**4 - 2*v**3 - 13*v - 2. Let x(q) = q**4 - q**3 - q - 1. Let c(s) = g(s) - 2*x(s). Find the second derivative of c(k) wrt k.\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 160?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and ((-1)\/(-3))\/(8\/24).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10363040 rounded to the nearest one hundred thousand?\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*3*(4 + sqrt(20)\/sqrt(4)))**2.\nAnswer: 23328*sqrt(5) + 61236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.6. What is the second smallest value in 2, v, -2.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -643 + 642.9. Do 0.135 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71 and 185?\nAnswer: 13135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*g - 242 + 88 = 196 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0614 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 2*h - 14, -4*z + 21*h + 61 = 12*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 48 (b) -2\/5 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 1, -78, -5.\nAnswer: -78, -5, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 666\/(-20) - (8\/((-480)\/(-522)) - 9)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1752 and 24.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 73434928?\nAnswer: -73434928.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, v: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1951590*i**2 - 284760*i + 85 wrt i.\nAnswer: 3903180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p - 12. What are the prime factors of z(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -50574, -100101, -149640, -199197, -248778, -298389, -348036?\n\"Answer: -x**3 - 49520*x - 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.58 + 1.75. Let l = y + -14.9. Suppose 0 = 5*a + 5*z - 10, 1 - 7 = -3*a + 4*z. Put a, l, -0.1 in descending order.\nAnswer: a, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 + 4 - 12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + q + 28. Let j be 0\/(-3) - (q - -2) - 0. Put 4, 5, j in increasing order.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. What is the lowest common multiple of t and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102833 by 6049.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/(-35*1 + -1) and -87\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 1. Let v(m) = -7*m + 5. Let i(y) = y**2 - 4*y - 11. Let c be i(6). What is c*v(t) + 4*x(t)?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1742 by 26.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - -6. Suppose 4*m = 12*m - l. Solve -m*c = -6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 912762531*c**2 - 1472*c**3 + 3*c - 2 + 912762529*c**2 to q + s*c + u*c**2 + k*c**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5232.7 - -5233. Sort 1\/4, w, -1\/5, 0 in decreasing order.\nAnswer: w, 1\/4, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3026146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/35)\/2)\/((-72)\/3024)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-16)*u**(1\/35)*u assuming u is positive.\nAnswer: u**(-524\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 3*v**6\/40 - v**5\/30 - v**2. Find the third derivative of g(b) wrt b.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*b**3 + 9\/4*b - 3\/4*b**5 + 3\/2*b**2 - 9\/4*b**4 + 3\/4.\nAnswer: -3*(b - 1)*(b + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2. Let r = -230 + 230. Let d(b) be the first derivative of -1 + 0*b - 2\/3*b**3 + r*b**2. What is x(d(y))?\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 68 (c) -2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34182*n - 4933*n + 8615*n - 92632*n.\nAnswer: -123132*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 907*i. Let h(a) = -902*a. Calculate 4*h(s) + 5*y(s).\nAnswer: 927*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = 3*m, 0 = -3*b - 4*m + 1094. List the prime factors of b.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -107\/2, 0.28, 4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-10 + -4619)*-1 + (-12)\/3 and 3.\nAnswer: 13875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*f - 32 = 2*z, 1522 - 1406 = -5*z - 3*f for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 o when three letters picked without replacement from {l: 2, s: 2, o: 9, m: 6}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 3*i - 1. Give f(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 1.7, -2, -6?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1510\/2718*(-45)\/1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*w = -2*w + 19825, 2*k - w = 7930. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h - 45*h = -15. Find the third derivative of -57*u**4 - 2*u + 5*u - 20*u**2 + h*u**2 - 6*u**4 wrt u.\nAnswer: -1512*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716328 is divided by 376?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 - 17 = 0. Suppose 3*u - 2*b - 9 = -5*b, 0 = -u + 2*b - 6. Suppose -2*i + 30 = -u. What is the remainder when j is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 102 = 10*t. Let x(z) = -8*z + 77. Let o(d) = 3*d - 26. Let h(i) = 11*o(i) + 4*x(i). List the prime factors of h(t).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 - 153013?\nAnswer: -152441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 16. Let l be q(15). Let g be 1 - -3 - (0 + l). Suppose 0 = -x + 11 - g. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*w + 3*p, -3*w - 5*p + 52 = 32. Solve -17*j - 64 - 4 = w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 152, 114, 50, -40, -156, -298?\n\"Answer: -13*y**2 + y + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 20\/(-15)*(-105)\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-3)*70\/(-4). Is 5\/2*(-742)\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 + 33*k - 93*k + 30*k + 29*k to the form j*k + v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*k + 494*k = -333 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a. Let s(p) = -33*p**2 - p - 11656. Give h(s(k)).\nAnswer: -66*k**2 - 2*k - 23312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 884\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -567169 - -5.\nAnswer: -567164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175314 and 301767?\nAnswer: 289092786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11166 - -11166.0004903. What is w rounded to 5 decimal places?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u + 24. Let i be z(4). Let k(a) be the second derivative of -7\/3*a**3 + 2*a**2 + 5\/6*a**i + 2*a + 0. Determine s, given that k(s) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156 + 142?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2\/17, -3, 3\/5, -1\/8, 2\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 957*m - 126 = 1142*m - 1421 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -6*q - 7. What is the remainder when q is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 + 500 = -116*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 22 - 62 - 937*n + 29)*(8*n - 8*n**3 - 8*n) to u*n + b*n**3 + g*n**2 + k*n**4 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -7. Let z be 5\/n + (-6)\/(-36). Which is smaller: 1\/2 or z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -9686, -2 in increasing order.\nAnswer: -9686, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29281, -29269, -29247, -29215, -29173, -29121?\n\"Answer: 5*v**2 - 3*v - 29283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -8*j + 1170 - 1028, 0 = -3*t - 3*j + 54 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*g + g = 16, 0 = 5*g + 10. Suppose -11 = -3*j - p, 32 - 11 = t*j + 3*p. Suppose 4*r - 596 = 2*s, -j - 4 = -3*s. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 35*i**2 + 3*i + 9. Let c be m(-3). Calculate the remainder when 40 is divided by (c\/(-6))\/7*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19713 - -73713. Round s to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/5)*p**(1\/2)*(p\/p**1)**(17\/6)*(p**0)**30*(p\/(p*p\/(p\/(p**(-2)\/p))*p))\/p**1 assuming p is positive.\nAnswer: p**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, u: 1, j: 2}. What is prob of sequence jxux?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*((sqrt(77) - (sqrt(77) - sqrt(77)*1*1)) + sqrt(77)))\/(5*sqrt(539)*-1*5).\nAnswer: 18*sqrt(7)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 2*m**2 + 2*m - 9. Let w be u(-4). What is the greatest common factor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 3 = 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-70)\/(-130)) - (60 + -22).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -534259780 and 0.0063431.\nAnswer: -534259779.9936569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 10*n - 14. Let w be r(3). Let z be 2 + -4 + 9 + w. Solve 1 = z*x - 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -61856819 and 2.\nAnswer: -61856817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 4)\/(1\/(-1)) + -114*138\/(-6555)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 61*k**2 - 6*k + 185. Give z(61).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 322 - 19?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -24*w**3 - w + 23*w**3 + w - 2*w**2. Let t(s) = -2*s**3 + s**3 + 2*s - s**2 + 0*s**2 - 1. Let r be t(-2). Calculate b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2)*u**(1\/4)*(u**(-2\/7))**(-3\/23))**(-2\/3) assuming u is positive.\nAnswer: u**(137\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q. Let i = -78 - -124. Let g = -53 + i. Let s(o) = -8*o. Let k(t) = g*r(t) + 3*s(t). Determine k(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30598\/7 - 4372. Suppose -4*u = -3*u + 1. Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1123010 (base 4) to base 6.\nAnswer: -42552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from cccaawwwc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -2*q. Suppose -5*n + 9*n - 40 = 0. Calculate the greatest common factor of n and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -x + 6. List the prime factors of (1\/3)\/(x\/369).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w - 2316 = 41*w. Suppose -d + 9 = -5. Calculate the remainder when w is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 67 = -5*b - 10, 5*v = -4*b + 16. Let d(l) = l + 13. Let t(h) = 2*h + 12. Let w(g) = 3*d(g) - 2*t(g). Let j be w(b). Solve 0 = -2*q - 4 - j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 111*y**5 - 145*y**4\/6 - y + 1894. Find the third derivative of p(t) wrt t.\nAnswer: 13320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 4*q**2 + 3*q**2 - 768 + 0*q**2.\nAnswer: -2*q**2 - 768","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*g - 36. Let i(m) = -4*m - 38. Let p be i(g). What is the second derivative of -27*l - 15*l - p*l**4 + 12*l wrt l?\nAnswer: -168*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Let b(t) = t**2 - t - 1. Let n be b(y). Let i(m) = -m + 3 + 3 - 2. Calculate i(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707212 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*l + 325*l - 160 = 68 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 34. Let x(l) = -4*l - 102. Let a(w) = -2*k(w) + x(w). Calculate a(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -557, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 5*h + 4. Let g be a(0). Solve 0 = -2*k + 3*f + 5, 2*k + f - g = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*x - 3*h, h + 0 = -4*x + 15. Let z be (1\/3)\/(2\/(-4)). Which is the second biggest value? (a) z (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570612*x - 70 = 570577*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -677 - -682. Suppose 5*l - 10 - 35 = 0. Let i be 3*-8*(-15)\/l. Calculate the highest common factor of t and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 1*-1)\/((-288)\/384). Let v = -4 - -6. Solve g = -r - v, -q*g = -g + r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -8 + 0)*(1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1750424 and 20?\nAnswer: 8752120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1068845273354 from -2.\nAnswer: 1068845273352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*h + 16*h. Let k = -172 + 171.5. What is the third smallest value in 2, k, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7.4. Let c = -0.9 - 0.1. Suppose -5 = -2*p + 3*h, -20*p + 15*p = -2*h - 7. What is the third smallest value in 3, a, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 1)*(-10*c - 51 + 6*c + 3*c)*(3 - 6 + 1)*(2 - 2 + 1) in the form h*c + m and give m.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 5*p**2 + 6*p - 5. Let j be b(-6). Let d = 42 + j. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.00506 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*t = 20, -d - 1 = 2*t - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-42 - 0 - (14 - (47 + -40))) + 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*a = -3710, k + 5*a - 378 = 346. Calculate the remainder when k is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008051?\nAnswer: 3, 11, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 170, 169, 168, 167, 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(24\/(-592)) + 1 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.2 + -18. Which is the closest to 0? (a) -1\/7 (b) q (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2075 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 121939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6.3. Suppose 113 = 8*t + 89. Which is the closest to -1\/3? (a) 2 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 + -215. What is the remainder when ((-7)\/4)\/(7\/(-28)) is divided by (5\/3)\/((-60)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7, 10, -2\/3, -1.7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4908)\/(-1636))\/((-198)\/8).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3791.\nAnswer: 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 + 3*a**2 + a**2. Let s(j) = j + 3. Let y(w) = -2. Let o(r) = 2*s(r) + 3*y(r). Calculate o(d(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*x - 46*x + 79*x + 203)*(-4*x + x + 2*x)*(2*x**2 - x**2 - 3*x**2 + (0 + 1 + 1)*(2*x**2 - 3 + 3)).\nAnswer: 18*x**4 - 406*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) -4\/9 (c) 0.033 (d) -0.2 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -17. Let p(b) = b. Calculate p(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 5, -650, 30, -3 in increasing order.\nAnswer: -650, -3, 5, 30, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*w**2 - 5*w - 14*w + 54*w**2 to the form b + m*w**2 + c*w and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1640*n + 1613*n - 162. Let j(u) = u**3 + 5*u**2 - 7*u - 12. What is j(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -b + 5*o, -94*o + 24 = -2*b - 90*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -469658.\nAnswer: -2\/234829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 7*o = k + 46, -3*o - 3*k + 42 = 0. Solve o*u + 20 = 7*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 144271 - -53?\nAnswer: 144334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10144 is divided by 2027.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2664*j - 5327*j + 2662*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 13. Let n be d(14). Let r(m) = m**2 + 15*m - 5. Determine r(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205322.\nAnswer: 2, 3, 19, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 + 3*s**2 + 3*s - 3. Let y(k) = -3*k**3 - 2*k**2 - 2*k + 2. Let l(a) = -5*x(a) - 7*y(a). Find i, given that l(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104475 and 290.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 4, b: 1, m: 9, g: 2}. Give prob of picking 1 p and 1 m.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(-2015))\/(3\/(-45))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.54 and 165178.135165.\nAnswer: 165179.675165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - -57. Are 0 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 54*b + 54*b - 109*b = 23, -5*b = -20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 5.4. Let o = 566.9 + -568.2996. Let s = o + r. Round s to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525751578 to the power of 1\/2, to the nearest integer?\nAnswer: 22929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -315, -527, -775, -1059?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 873216321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -554*w + 373. Is j(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*c**3 - 6*c**2 + 0*c**2 + 6*c**2.\nAnswer: -425*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-42)*(-63)\/2520*72.\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 2314.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**2 + 0*k - 1 + 4 + 6*k - k**3 - 4. Let o be y(-7). Which is bigger: 7 or o?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:31 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.92 + -0.08. Let w = 3.9 + a. Let y = -44174\/3 + 14724. What is the fourth smallest value in y, w, -1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -14. What are the prime factors of (60\/3)\/u + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 38*x**2 + 292*x - 12233. Determine n(37).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 80*y + 13*y**2 + y**3 + 8 - 64*y + 6. Let i be n(-11). Calculate the greatest common factor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*o - 4*o. Let j(x) be the first derivative of -4 + 8 - x**o + 0*x**2. Let u(q) = 5*q**2. What is j(u(t))?\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303222101 + 10?\nAnswer: 303222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.178 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 2*q**2 + 2*q**2 - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26022587 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 13*f - 3. What is c(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225 + 78. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*l - a, 8*a - 9*a = l - 4. What is the units digit of l + (-206)\/(-3 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = -18. Let b = q - -22. What are the prime factors of (-2)\/b - 215\/(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-5 - -8 - -2) + -8 + 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/108 and -7\/708.\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -2 + 13 + (8 - (-8 + 22))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**6\/1260 + j**5\/105 + 5*j**4\/84 - 11*j**3\/3 - 20*j**2. Let f(l) be the first derivative of c(l). Factor f(z).\nAnswer: -2*(z - 5)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1313 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 1 - 2 - 4. Let f(m) be the first derivative of m**2\/2 + 11*m + 24. Let z(s) be the first derivative of f(s). Calculate l(b) + 5*z(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/120 - 7*r**5\/60 + 41*r**4\/24 + 17*r**3\/3 - r**2 - 16*r. Let k be q(-18). What is k rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p - 2*p)*(0 + 8 + 1) + (4*p + 0*p - 2*p)*(2 - 5 + 1).\nAnswer: -31*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5 + 20, 98 = 3*n - 2*b. What is the remainder when 970 is divided by n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 30 = 3*s + 2*j, 48 = 4*s - 4*j. Let a(x) = -s + 2 + 2 + 2 + x. What is a(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4002.2818 - 4003. Let f = 0.71 + i. What is f rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16 - -31)*(-10)\/(-6)*1. Suppose 21*c + 1188 = q*c. Is c a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 + 15*d - 15*d)*(-3*d**2 + d**2 + 6*d**2) + 5*d**4 + 14*d**2 - 14*d**2 as f*d**2 + a + s*d + w*d**3 + l*d**4 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 6*y - 3. Let q be z(5). Suppose 19 = 3*j - 23. Let s be 4\/(-14) + 4\/j. Are s and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -1023 (b) 4.25 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 25 = -o, 1290*o = 1295*o + 5*x - 50 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 222\/5 (b) 5 (c) -1 (d) 7\/9 (e) -0.5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5192 and 352.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 196247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23848, 15712, 7576, -560?\nAnswer: -8696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 - 2*x\/9 - 4\/9.\nAnswer: 2*(x - 2)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1.6 (c) -3\/10 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**5\/12 + 7*j**4\/24 + 9*j**3 - j**2 + 12. What is the units digit of u(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/73 (b) 0 (c) 0.2 (d) -8861.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(0*s - 5*s + 3*s)*(2 - 2 + s)*(-56*s + 18*s + 32*s)*(5 - 5 - 3*s**2).\nAnswer: -72*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/226 - 491\/2938. Which is the nearest to 232? (a) 4 (b) 6\/11 (c) -4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from eygsasg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885?\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78864\/(-371))\/(-62)*3*147\/12.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwsosoowwf. Give prob of sequence nfss.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let c(u) = -3*u - 8. Let z be c(-3). Let r(l) = l - l - 2*l - 2 - z. Let j(t) = -10*t - 16. Let m(b) = 3*j(b) - 16*r(b). Determine k(m(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 - 5*t + 4. Let a be (-2)\/(0 + -2) + 3. Let z(l) = 14*l**2 - 10*l + 7. Let u(d) = -d + 1. Let c(o) = a*u(o) + z(o). What is 4*c(m) - 11*s(m)?\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 95*r - 3221 = r + 3709 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 8. Calculate a(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/1*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 43 + 65 = 0. Let y be b\/(-45) + 2\/(-5). Suppose 44 - 146 = -y*h. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 7*d**2 + 7*d - 30. Determine k(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/3 - 11996*j**2\/3 + 607582*j\/3 - 5875636\/3 = 0. What is j?\nAnswer: 13, 38, 5947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-12) + -3)*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103605201 (base 7) to base 6.\nAnswer: -341154100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -14 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 226.1 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n - 319 = -121 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 637728958 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128172*q*y**3 - q*y - 3*q - 4*y**4 + 9*y**2 + 53*y wrt y?\nAnswer: -769032*q - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a hour in minutes?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -7. Let r = 6.8 - p. Which is the third biggest value? (a) -2\/5 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*25\/(-3060)*-24*3\/(-20)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 14. Let l be y(-7). Let a = -14 + l. Calculate the remainder when 26 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from eezzezrzfer?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 16*c**2 - c**3 - 9 - 15 + 18*c + 9. Let v be t(17). Solve -v*j + 3*h = -23, -3*j - 8 = -0*j + 4*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3548?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3. Let f(i) = -i - 12. Let o be f(-14). Let j(s) = 2 - o + 3*s - 8*s. What is j(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2779 = 19*i - 2988 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 567 + -189. Let y = -1230 - -1915. Let f = y - a. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 17*f + 16*f + 99 - 127 = 0, 0 = -3*r + 6*f + 273 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 2\/3, 16, -2, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -3823.\nAnswer: -19115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*h, h = 4*a + 25 - 23. Let u(x) = 2*x + 17. Let p(l) = -1. Give h*p(d) - u(d).\nAnswer: -2*d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 83\/6 (b) -1\/2 (c) -10 (d) 3\/7 (e) -7\/3 (f) 1\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4513, 8991, 13467, 17941?\nAnswer: 22413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.32 + -3.326249. Round z to four decimal places.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 11*a + 77*a**3 - 11*a + (0 + 0 - 2*a)*(1 - 1 + a**3) to the form i*a**3 + s*a**2 + m*a + x*a**4 + u and give i.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 1 (c) 60359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3528? (a) 26 (b) -2\/21 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 393382470 = 5*h. Let y = h + 139876482. Let r be y\/(-36) + (-1)\/3. Round r to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, 6\/13, -15819 in descending order.\nAnswer: 6\/13, -2.1, -15819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - b = 140. Let z be 1 + 0 - -1 - (b - 26). Let n be (-2)\/(6\/7 - 1). What is the greatest common divisor of n and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -820925 less than -105?\nAnswer: 820820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j, 5*j + 115 = -w - 0*j. Suppose -2590 = 23*v - 175. Let c = v - w. Solve -5*n + d - 8 = c, -4*n = -2*n - 2*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21\/59 + -2011\/649. What is the common denominator of -97\/1054 and r?\nAnswer: 11594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Determine t so that -3*t**p + 1 - 3 + 2*t**2 + 3*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/7, 3\/7, -0.484, 0.4, 26?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-368)\/115*100\/20.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 10*q**2 - 10*q - 13. Let z be o(-9). Let h be 46\/(-6) - 22\/(-33). Let n(y) = 6*y - 6. Let u(c) = -11*c + 11. Give h*n(s) + z*u(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031970499 rounded to 5 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**4\/24 - 4*m**2. Give a(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-8) + 6 + -8. Let i = 7\/2 - l. Which is the closest to -0.1? (a) 1 (b) i (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 45?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12899 - -6236. Is (21\/(-9) - -2)*p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 242128*b - 3*b**2 + 6*b**2 - b**2 + 0*b**2 + 64 - 242131*b to n*b + j + o*b**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/21*(-154)\/(-22)*(-52)\/702\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23369, -1, 61.9.\nAnswer: -23369, -1, 61.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**5\/2 + 16411*r**4\/8 + 102675*r**3\/8 + 205415*r**2\/8 + 143809*r\/8 + 12327\/4 = 0.\nAnswer: -3, -2, -1, -1\/4, 4109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 7*h**2 + h - 7. Let v be w(7). Suppose 6 = 3*m - v*m. Suppose 5*y = m*y + 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344825246 to the nearest integer?\nAnswer: 18569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = -3*l - l. Let p = 100 + l. What is the remainder when 2\/1 + (0 - -3) - (-75 + -61) is divided by p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 79?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -643, -638, -629, -616?\n\"Answer: 2*d**2 - d - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111*c + 54*c - 102*c + (3*c - 2*c - 2*c)*(0 + 2 - 4))*(0 + 5 + 0) as g*c + h and give g.\nAnswer: -785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2056 and 529560.\nAnswer: 136096920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -163 (base 8) to base 3\nAnswer: -11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 363986224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**3\/6 + 2*v**2 + 40*v. Suppose -2*p + 14 = 10. Suppose -3*i = -2*y + p, 4*i + y - 4 = 2*y. What is k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1910017.\nAnswer: 43, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/83293485 and -97\/5940.\nAnswer: 2998565460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21754445839 and -0.2?\nAnswer: 21754445838.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4466346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2\/5 (b) -8 (c) 1 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53196.78 decades to years.\nAnswer: 531967.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -4*y - 4*l - 10, 2*y + 3*l = 31. What is the lowest common multiple of y and ((-4)\/6)\/(6\/(-45))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.026 at least 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10822 and -7\/13914.\nAnswer: 97398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47954140 and 7059.\nAnswer: 143862420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 8*f + 7. Suppose 0 = 2*n - 2*z - 2*z - 18, -15 = 5*z. Suppose -4*k + u + 45 = -2*u, n = 3*u. Is 15 a factor of g(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w - 2*w + 3*w - 4 + w**2. Let y be d(4). Which is the third smallest value? (a) 1\/3 (b) -1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -190*d**2. Let s(o) = -2*o + 0*o + 9*o - 4*o - 2*o. Calculate a(s(k)).\nAnswer: -190*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28313, 28447, 28585, 28727, 28873, 29023, 29177?\nAnswer: 29335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - (3 + -2)) + 6. Suppose 2*w = 2*p, 2*w + h - 6 = -2*p. Let x(g) = g**3 + 2*g**2 + 3*g + 5. Calculate x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 143, 326, 583?\n\"Answer: 37*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10744 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -46\nAnswer: -35\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36529 divided by -5?\nAnswer: -36529\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 1 + 10*c**3 + 1 - 12*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o**3 + 13 - 5 - 12*o**3 + 4.\nAnswer: 14*o**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -647\nAnswer: -4\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 15*y**2 + 23*y - 82. Let l be u(16). Solve 5*c + 3*p = -25, 3*c + 4*p = -2*c - l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g + 100. Suppose 49 = 4*i + 89. Let c be y(i). Solve 2*k = 3*a - 3*k + 29, c = -2*a - 4*k + 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -82, -20, 4.\nAnswer: -82, -35, -20, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/7 (b) -8 (c) 4 (d) 536 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-9)*1)\/((-8)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 52?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one quarters of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/108*-3\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -77*j - 6 + 6*j**3 + 36*j + 38*j. Let y(p) = p - 1. Let s(z) = -l(z) - 3*y(z). Find the first derivative of s(t) wrt t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 17*c - 113. Let r be o(7). Calculate the smallest common multiple of 260 and 290\/26 + (-5)\/195*r.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17969662?\nAnswer: 2, 191, 47041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -3 + 23 + -15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*d**3 + 0 + (-d**2 + 6*d**2 - 3*d**2)*(-4*d + 3*d - d) + d**3 + d**3 - 4*d**3)*(-d**2 + 13*d**2 - 2*d**2).\nAnswer: -40*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27883 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001945 to 7 dps.\nAnswer: -0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5367*k**2 + 5365*k**2 - 10728*k**2. Let c(f) = 257*f**2. Give x(c(u)).\nAnswer: 264196*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-3))\/u**0)\/((u*u**3)\/u**3))\/((u\/u**(-1\/4))**30*u**(-2\/7)\/u**(4\/5)) assuming u is positive.\nAnswer: u**(-2759\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 - 80. Suppose -4*s = n + 28 - 4, -s + h*n + 7 = 0. What is the nearest to 2\/3 in 5\/4, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12820 - -12820.06539. Let u = p + -0.1253. Round u to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 4, -2, 25160.\nAnswer: -2, -1\/11, 4, 25160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64510515?\nAnswer: 3, 5, 23, 157, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -14 (c) 232 (d) 5.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8546*w - 2620 = -8808*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - f - 15*f**4 + 0*f**4 - 70 - 6*f**3 + 71 - 2*f**2 to l*f + b*f**2 + n + j*f**4 + h*f**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = -5*q - 4*n + 397, 688 = 4*q + n. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwawcz. What is prob of sequence wa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-4) - 6 - -1. Suppose 524*b - 501*b = 161. Sort 3, x, b, -5.\nAnswer: -5, x, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + u)*(-3 + 2 - 1)*(-1 + 2*u + 1).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 - -111. Factor -97 + o*x**2 + 97.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -1. Let a = x + -0.7. Put a, -0.3, -5 in ascending order.\nAnswer: -5, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/2 + 7770*t + 2618550 = 0. What is t?\nAnswer: -330, 15870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5139*m*v**2 - 3*m*v - 72*m - 25146873*v**2 with respect to m.\nAnswer: -5139*v**2 - 3*v - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 11) to base 14\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*l + 5*l. Let z(h) = h**2 + 3*h - 10. Let q be z(l). Do 17 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + k**2 + 9*k + 130. Let u be b(0). Calculate the highest common divisor of 40 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*n = -18, -5*n + 19 = 3*c - 3. Suppose 4 = -v + 6. Sort 5, v, c in increasing order.\nAnswer: v, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 8) + (-12 - -14) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 352 - -7. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zknw when four letters picked without replacement from uzuuunuzwzuuwk?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8245542 to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -714 = -5*x - 2*h, 333 = 3*x - 5*h - 83. What is the remainder when x is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 5:20 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*x + 35, -4*x - 2 = -22. Suppose -7*a + b*a = -48. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 34 + 106 = 0. Let m = 4 + -2. Suppose 3*x - 24 = m*x. Calculate the greatest common factor of o and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 0*b + b**2 + 1\/4*b**5 + 0 - 1\/4*b**4.\nAnswer: b**2*(b - 2)*(b - 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 109554\/10531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.07 - -12. Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*b - 5*a, a - 13 = -2*b - 3*b. Suppose y - b = -2. Suppose -d - 4*c = -3*c - 2, d - 5*c - 14 = 0. Solve -n = d - y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4, -4*j + 7*b = 12*b - 2490831. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-118)\/12 - -4) + 177\/(-59) and -145\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 215?\nAnswer: 40635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/2*(-68)\/(-27404)*-13)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*g**2 - 6 + 3 + 10 wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 334 - -312345?\nAnswer: 313123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419168 less than 0.23?\nAnswer: -419167.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(24\/(-28))\/(52\/(-182)). Let h(v) = 10*v**2 + 30*v + 10. Let n(g) = -2*g**2 - 6*g - 2. Calculate p*h(k) + 16*n(k).\nAnswer: -2*k**2 - 6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688*x = 678*x. Let i(r) = -r**2 + 6*r**2 + 2*r + 0*r**2 - 3*r**2 + 10. What is the remainder when 38 is divided by i(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**3 - 47846*g**2 - 162780*g - 57456.\nAnswer: 2*(g - 4788)*(g + 3)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 469\/150 + -13\/6. What is the common denominator of -52\/9 and x?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:39 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/385)\/(28\/(-154))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 39 - (-2 + 2) - (24 - (24 - -10)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 74 - 2*h - 21*h.\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1268?\nAnswer: -3804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2141.504 decades?\nAnswer: 21.41504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 59*c - 1001. What is m(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -15*g**2. Let j(x) be the second derivative of -x**4\/6 - 21*x. Calculate m(j(v)).\nAnswer: -60*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 2*z - 30, z = 4*s - 0*z + 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*n - 5, -2*z + 5*n - 3 = 2. Suppose -12 = -2*s - z*s. Let c(y) be the second derivative of y**3\/6 - 2*y**2 + 171*y. What is c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 286 + 290 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1610552 and 828.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75 - 78) + -7 + -5 + -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 5. Let w be a(0). List the prime factors of ((-6)\/w)\/((-6)\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (11 - (-32 - -18)) - -29\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 111848?\nAnswer: 671088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 2*z - 2, 0*f - 5*f + 1 = 3*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020000200 - -100?\nAnswer: -2020000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*s + 9836 = -139*s - 9868 - 16652 for s.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + 6*l + 2. Let o(q) = q**2 + 13*q + 5*q**2 + 0*q**2 + 5 + 0. Let s(v) = 2*o(v) - 5*z(v). What is the second derivative of s(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259 = 822*a - 6874 - 3375 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 r when four letters picked without replacement from {o: 4, p: 2, r: 3, e: 1, l: 1, d: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -961*f + 958*f + 8, 2*y + 10 = 4*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2340000 divided by 52.\nAnswer: 45000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -707\/3060 + 3\/340. What is the nearest to 0.1 in 3, g, 4\/3, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23514, 97825, 222930, 398829, 625522?\nAnswer: 903009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6443309236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14248\/95 - 752\/19. Let f = -110 + t. Let j = 1.87 + -1.57. What is the second smallest value in j, -0.2, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9505, 19008, 28511, 38014, 47517?\nAnswer: 57020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - (108 + -59)) + -27?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 13.5. Which is the third biggest value? (a) -1 (b) k (c) 2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35254*x + 39870?\nAnswer: 35254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4606299517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Suppose 3*o - 4 = i. Suppose 11 = o*n + 2. Calculate the remainder when 5 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2. Let d(r) = 2*r + 3*r + 8*r. Calculate k(d(u)).\nAnswer: -338*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 8*t**2 + 8*t - 4. Let p be o(7). Let j = -2 + 6. What is the closest to -2\/3 in p, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 40, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1471, -1480, -1489, -1498, -1507?\nAnswer: -1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-132)\/12 - -22).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 70337.306, 0.4, -3 in decreasing order.\nAnswer: 70337.306, 0.4, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12631 * 17667.\nAnswer: 223151877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(-185)*(-1 - 0).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 202954547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734541?\nAnswer: 3, 29, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334437332.\nAnswer: 2, 83609333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5*g = -44, 1259*t - 1257*t + 11*g + 28 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002246 is divided by 50111.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001663 to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -69, -302, -535, -768, -1001?\n\"Answer: -233*p + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568607224?\nAnswer: 2, 1021, 192043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**(3\/5))\/z*z)**(-49)*(z\/(z**(-10)\/z*z))\/z*z\/(((z**(2\/9)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(-5203\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33102 (base 4) to base 12.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 1. Let z be o(0). Let a = z + 1. Suppose a*i = 3*u + 21 - 0, -i = 4*u + 17. Solve 0*s + 3*s = i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1184, 2314, 3438, 4568, 5716, 6894, 8114, 9388?\nAnswer: 10728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.6, -2\/5, 9.\nAnswer: -0.6, -2\/5, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrzrrrzrrzrrzhhrzrr. What is prob of sequence rr?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.4 and -1.9392?\nAnswer: 12.41088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0461, 3, -11120?\nAnswer: -11120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176924.\nAnswer: 2, 11, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, j: 16}. Give prob of sequence tjj.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 17}. Give prob of picking 3 y.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 32 = -i. Let z = 358 - 360. What are the prime factors of (-1066)\/i - z\/(-8)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 1, w: 1, p: 1, d: 3}. What is prob of sequence df?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 15*n + 12*n + 439 = 436, 2*o + 5*n = 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q**2 - 6*q - 3. Let l(r) = -89*r + 94*r + 7*r**2 + 1 + 0 + 2. Calculate -6*l(j) - 5*o(j).\nAnswer: -2*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4774*d**2 - 223*d - 7304190 with respect to d.\nAnswer: -9548*d - 223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30825, 30693, 30561, 30429?\n\"Answer: -132*k + 30957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d5 + -2?\nAnswer: 3d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*j**3*l**2*r + 2*j**3*o*r - 2*j**3*o + 5*j**2*o*r + 2*j**2*o - 4*j*l**2*o - 2*l**2*r wrt j.\nAnswer: 138*l**2*r + 12*o*r - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f**3 + f. What is t(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*m - 230 + 1358 = 0. Solve -4*q + 16 + 0 = -4*g, -m = 3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-2\/3))\/((q**(-2\/11)\/q)\/q) assuming q is positive.\nAnswer: q**(160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11988984 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 4*2*sqrt(187)) + -5*sqrt(187)*1)\/((sqrt(11) - sqrt(88)\/sqrt(2)) + 4*sqrt(33)\/sqrt(3) + sqrt(11) + sqrt(11)) + -1.\nAnswer: -12*sqrt(17)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000177157 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by 99\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5.5. Let g be 100\/1750 + (-27)\/(-140). Let z = -0.05 + 0.16. Which is the closest to z? (a) g (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**4\/3 + 3*n + 3. Let q(d) be the first derivative of r(d). Let k(h) = -h. Calculate k(q(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3282, 3266, 3242, 3204, 3146, 3062, 2946, 2792?\n\"Answer: -o**3 + 2*o**2 - 15*o + 3296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - 43) + (-4 + 24 - 22)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5.7. Let g = y - 0.3. Let z = -5 - -5. What is the closest to z in g, 0, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -3 + (28 - 0). Suppose -w = -3*p - 2*p. Suppose 3*u = p*b + 13, 0*b + b + 5 = u. Solve 0 = -5*g + 19 + u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -8 - 1. Solve 0*n - k*n = -c + 7, -c - n - 5 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*b**2 + 13*b**4 + 0*b**4 + 0*b**4 wrt b.\nAnswer: 312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71520393 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 51*v**2 + 68. Let x(w) = 3. Let i(y) = 4. Let b(k) = -5*i(k) + 7*x(k). Let d(t) = -68*b(t) + s(t). Let h(l) = -l**2. Determine h(d(r)).\nAnswer: -2601*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -3\/7 (c) -898\/1009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271*l = 936*l + 7035 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 8 - 8 + x + 2*x - 4*x + (-2 - x + 2)*(-4 - 1 + 3) - 2*x - 1 + 1)*(3*x - x - 6*x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88660333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21915 and 900.\nAnswer: 438300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v. Let j(z) = 5*z. Let q(o) = 11*j(o) - 6*k(o). Let y(w) = -58*w. Calculate q(y(i)).\nAnswer: -58*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*h + 37*h + 87*h)*(0 + 0 + 1).\nAnswer: 164*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 21 - 741. Suppose h = 2*g - 0*g. Suppose -8*c + g = 4*c. Calculate the least common multiple of 4 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 4*a - 0*a + 3, 2*a - 5 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2817*m + 2772*m = 90. Which is the fourth biggest value? (a) 1\/10 (b) -32 (c) m (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -434 (b) -3 (c) -0.3 (d) 2 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -m + 3*j - 7*j, 93 = -m + 5*j. Suppose -2*b - 304 = -2*w, 5*w - 494 = b + 270. Let y = w + m. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 89*g - 46*g - 66*g + 8*g**2 in the form b*g + i + m*g**2 and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1\/83?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(171)*-2)\/(sqrt(9)*-1*3))**2.\nAnswer: 304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17558127*n**2 - 8*n - 981.\nAnswer: 35116254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(1722\/588) - -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*157.\nAnswer: -31.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*n - 16*n - 12847 - 21663 = 159*n for n.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18683777 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + n - 3*n + 1 + (0*n - 2*n - 2*n)*(-2 - 2 + 5).\nAnswer: -7*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7226)\/(-1386) - 2\/11. Let r = 36\/7 - p. Let h be -3 - (20\/12 + -2)*3. Is h at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + q + 9. Let d be i(4). Calculate the lowest common multiple of 4 and (1 - d)*(-115)\/(-20).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -447, 4\/5, 0.5?\nAnswer: -447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296283147 divided by 1.\nAnswer: -296283147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/15 + 31\/(-5). Let q(n) = -110*n + 8. Let x be q(o). Let m = x - 417. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 + 2*i**4 - 4*i**4)*((3*i - 3*i + i)*(-3 + 3 + 2) + (-5*i + 5*i - 2*i)*(-6 + 5 + 4)).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/5 - 240*z**2 - 1187*z\/5 + 14388\/5 = 0. Calculate z.\nAnswer: -1199, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 + -90.109. Let l = -225.891 + y. Let c = l + 226.00000091. Round c to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from eojkbjojjjooojjooeko?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 6*u - 5. Let b be h(-5). Suppose -6*o + 276 + 354 = b. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, q: 2, j: 12}. What is prob of picking 2 k?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5133 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b + 8. Let c(r) = 6*r + 82. Calculate c(o) - 6*f(o).\nAnswer: 24*o + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/117 + 660\/3003\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/9 + (-14)\/(-18). Let q = -0.8 + 0.5. What is the smallest value in l, -6, q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(14)*2)\/sqrt(7) - sqrt(14)\/(sqrt(35)\/sqrt(5))) + 4*(-4 + sqrt(72)).\nAnswer: -13 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -15. Let t(b) = -b + v*b - 2*b. Let h(q) = 0 + 0 + q**2. Give h(t(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/2)\/(-24) - 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - j + 11 = -3*z + 2*j, z = 5*j - 19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2117*s = -4239*s + 2178*s - 1848 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -320 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79505 is divided by 39188?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, x: 5, g: 2}. Give prob of sequence ggx.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 2. Suppose -3*j + 12 = -3*c, -5*c - 5*j = 28 + 12. Let w be y(c). Factor -1 - z**3 - z**5 + 0*z**w + 1 + 2*z**4.\nAnswer: -z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + p**3 + 2*p - 14 - 2 + 0*p**3 in the form n + j*p + d*p**3 + o*p**2 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0, 290, 11, -59 in ascending order.\nAnswer: -59, -1, 0, 3, 11, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 60. Let l(h) = h**3 - 6*h**2 + 9*h - 9. Let w be l(t). Solve w = 5*r - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by -6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 + 2*v - 2. Let l(q) = -13*q + q - 5*q - q - 3 + 2*q**2. Let s be l(9). Let h be n(s). Solve 4*w - 2 + h = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16553*o. Let j(l) = 4349*l**2. Give u(j(i)).\nAnswer: 71988997*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.48 in 12, -3, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - f - 1)*(f - f - f**2) + (-3*f**3 + 6*f**3 + 3*f**3)*(-4 + 1 + 2).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 856*r**3 + 198*r**3 + 4*r**2.\nAnswer: 1054*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 178613 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 6:38 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 259.8 + -262.8. What is the fourth biggest value in 0.12, y, 0.15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72\/14*(-42)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 44 = 5*r, 2*h + 16 = 189*r + 223*r - 410*r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -239.\nAnswer: 12\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -138, 0.5, 11, 320, 2\/11, 4, -0.5?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 2 - (-944)\/20 - 5\/25.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 74 = -2*p, 2*v + 14 = 6. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0314 - 0.0334. Let w = 1.8 + -1.89. Let b = w - g. What is b rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 103121, 206242, 309361, 412478?\n\"Answer: -z**2 + 103124*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 13*r**2 + 2*r - 28. Let y be c(13). Let s(b) = -9*b + 12. Calculate the remainder when s(y) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f**2 + f**2 + 4*f**2)*(111*f**2 + 15747*f - 15747*f - 1) in the form a + b*f**4 + p*f**2 + c*f**3 + i*f and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1469518592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**6\/720 + l**4\/6 - 10*l**3 - 2*l + 20. Let y(v) be the third derivative of n(v). Let p(r) = 7*r**2. Give y(p(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 13*d - 8. Let q(k) = k**2 - k. Let j(g) = m(g) - 4*q(g). Let i be ((-2)\/(-5))\/(1\/(-20)). Let n be j(i). Solve n*z = 4*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v - 100 = -2*u, 0 = 2*v + 5*u - 61. Suppose -2*z - 8*c + v = -3*c, 44 = 3*z - c. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*((-38)\/(-114))\/((-12)\/63). Let f(r) = -r**2 + 3*r + 9. Calculate f(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1.9 (c) -0.12 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 + -264?\nAnswer: -264.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1228 + 1747. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*b - 21*b + 4*b + 3 - 2*b - 3 + (-b + 0*b + 2*b)*(-3 - 3 + 5))*(4 + 1 - 3)*(-2*b**2 - 3*b**2 + 6*b**2).\nAnswer: -36*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1106804907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41968\/86)\/((-296)\/37)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6062268 - -11412348. Let t be (3 + (-822)\/24)\/((-3)\/h). Round t to the nearest 1000000.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.23 + -3.4372. Let s = m - 33.8628. Let v = s + 34. Which is the third biggest value? (a) 2\/7 (b) 1\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and 0.06?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -34*h - 2. Let w(r) = -17*r - 1. Let t(u) = -3*a(u) + 5*w(u). Is t(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3734935.3286 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -809 (base 16) to base 15\nAnswer: -922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 21\/25*r**5 - 13\/20*r**4 + 2\/5*r**2 - 4\/5*r**3 + 0*r + 7. Let y(z) = 0. Calculate z.\nAnswer: -2\/3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253716*r**4 - 55*r**2 + 34937648*r wrt r?\nAnswer: -3044592*r**2 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 6:31 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 24\/(-6))\/1. What is the greatest common divisor of 22 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*k + 36*k + 48. Calculate the remainder when 89 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 1, 5, -12, -2, -4, 4 in descending order.\nAnswer: 31, 5, 4, 1, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211655006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/3)\/(2\/18). Let a be x - -1*2*-5. Let f(q) = -q**2 - 10*q - 4. Does 17 divide f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 4*z**2 - 4. Let j be u(-3). Let v(g) = g**2 - 5*g + 2. Let t be v(j). Suppose 4*p + a = 930, -472 = -t*p + 3*a - 0*a. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750300, 1500504, 2250616, 3000636, 3750564?\nAnswer: 4500400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4580304, 18321275, 41222896, 73285167, 114508088?\n\"Answer: 4580325*v**2 - 4*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 7*l - 76.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1) - (-16)\/76. Let p = 88\/57 - o. What is x in 4\/3 + 1\/3*x**2 - p*x = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21095241 to the power of 1\/2, to the nearest integer?\nAnswer: 4593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8254270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 9*h**2 + 2*h. Let o be t(9). Suppose 3*w - q - o = -0*w, 28 = 5*w - q. Which is the nearest to 2? (a) -4 (b) w (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/3489 and 4\/579.\nAnswer: 673377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64.4 + 64.5572. Let u = 4 - 4.15. Let o = m + u. What is o rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 1930096 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*k + 118. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 104 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1082*o**2 + 1092*o**2 - 3282*o**2 + 1111*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z**2 + 15*z - 54. Let o be y(7). Let w = o + 654. Calculate the greatest common divisor of 33 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1dc4?\nAnswer: 1dc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q**3 + 5 - 6 + 47*q**3.\nAnswer: 84*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32939, 130056, 291367, 516872?\nAnswer: 806571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110305911 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(59640\/16)*2824\/16 - 1.\nAnswer: -2\/355","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 94 = h + h, -u - 45 = -h. Suppose -o + 13 = 3*i - h, o = -2*i + 37. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77.98 - 78. Which is smaller: 10 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 + 68 = -5*j + 3*x + 105, -2*j + 5*x + 75 = 0 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10946112 or 76622788\/7?\nAnswer: 76622788\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 80.5. Suppose -g - 69 = -2*g. Let b = g + -343\/5. Sort 2, b, v, 7 in increasing order.\nAnswer: b, v, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 10*a + 5. What is the smallest common multiple of 0 - (-1)\/((-1)\/(-40)) and n(9)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d = 21. Let u = -3 + d. Calculate the highest common divisor of u and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.58 * 529\nAnswer: 6654.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 488*w**3 - 3*w. Let o(x) = -x. Let h(s) = d(s) - 2*o(s). Is h(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.4, -0.6 in ascending order.\nAnswer: -0.6, -0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412031 + 1200736 = 59*z - 86256. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, -58, -233, -458, -721, -1010, -1313?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -18. Let c(d) = -d**2 - d + 1. Let k(v) = 5*v**2 - 7*v + 7. Let s(t) = b*k(t) - 6*c(t). Is s(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/24*87\/2. Suppose -5*a + x = -1. Suppose -2*b = -0*b + v - 26, v = 4*b - 46. What is the greatest common factor of b and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**5)\/z*z*(z\/(z**(-2\/3)*z))\/z*z)**(-2\/27)*((z**(2\/5)\/z)**(-2))**(-1\/18) assuming z is positive.\nAnswer: z**(73\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 596 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j**2 - 14*j**2 + 15*j + 29*j**2 to the form w + p*j + u*j**2 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4\/5 - 236184*z**3\/5 + 944697*z**2\/5 - 708516*z\/5 = 0.\nAnswer: 0, 1, 3, 78724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.1 and -0.03088?\nAnswer: 0.250128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 157371540500*p**2 - 668835700*p + 710645.\nAnswer: 5*(177410*p - 377)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.935909094 to three dps.\nAnswer: 2.936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33303372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b**2*g*q**2 + 3*b**2 - 27*b*g*q**2 + 15*b*g*q + b*q + g + q**2 wrt q.\nAnswer: 16*b**2*g - 54*b*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(42)\/(sqrt(2)*-4))\/(sqrt(21)\/sqrt(3)*-5).\nAnswer: sqrt(3)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1043141 divided by -2.\nAnswer: -1043141\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujqquqq. What is prob of picking 1 q and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 2*r + 4*r)*((-2*r + r + 2*r)*(-1 - 4 + 6) - 520*r + 2456 - 2456).\nAnswer: 519*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1943789673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from itjtioooooitott?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22000, 22033, 22066?\n\"Answer: 33*t + 21967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 2*z = -3 + 24, 5*k - 4*z - 9 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let z(v) be the first derivative of -v**4\/4 - 5*v**2 + 8. Let i(p) be the second derivative of z(p). Calculate i(h(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-8)*316\/395*0. Do 1\/255 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 6*d - 4. Let w(o) = -2*o**2 + 15*o - 10. Let b(j) = -4*w(j) + 10*z(j). Let r(l) = l**2 + 36. Calculate r(b(p)).\nAnswer: 4*p**4 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wawxwwaaxwwaanwx. What is prob of sequence an?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k - 16. Let r(y) = 12*y + 47. Let c(m) = 3*r(m) + 8*v(m). What is the remainder when c(9) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -5914\nAnswer: 413.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-96)*8*(-2)\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.013 and 0.1739.\nAnswer: 0.1869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 5*p - 236, 4*b = -5*p + 268. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102331 - -2212112?\nAnswer: 2321103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 333 = -10*x. What are the prime factors of x?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 852 + -840. Solve 9 = -3*x + c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8260 + -8261. Let m = 5.05 + -0.05. What is the second smallest value in m, o, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57950 and 1919?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - f + 122 - 122 as b*f + t*f**3 + n*f**2 + g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 17*h - 56. Let c be m(-13). Let d be 84\/27 + (-4)\/36. Let w be (-1)\/d + 9\/18. What is the nearest to -1\/3 in 0.3, w, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1871 - 1660. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2. Let s(d) be the first derivative of -31*d**6\/120 + d**3 - 3*d**2 - 29. Let z(a) be the third derivative of s(a). Calculate z(x(g)).\nAnswer: -93*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17693, -17683, -17673, -17663, -17653?\n\"Answer: 10*b - 17703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 236, 892, 2248, 4556?\nAnswer: 8068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 - 4*c - 40. Let r be z(-28). Suppose -5*j = -13*j + r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39690 and 2036930?\nAnswer: 164991330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*((sqrt(1100) + sqrt(1100) + sqrt(1100)*1 + sqrt(1100))**2 + -2 + 3)*-6.\nAnswer: 633632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 37*n - 25. List the prime factors of u(7).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4519*y + 17691. Give f(-4).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**4 - 4456*h**3 - 1240996*h**2 = 0.\nAnswer: -557, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -666*f*h**3*w**2 + f*w - 4279*h**3*w + h**2 + 487439*h*w**2 wrt h?\nAnswer: -3996*f*w**2 - 25674*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12)*1196\/115.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 + 0.3. Let w = 2.2 - u. Let y = -3 + 2.6. Which is the nearest to -0.1? (a) -3 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 = -5*l, 0*l = -l + 5*i - 9. Which is bigger: 3\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + (-4690)\/(-8). Suppose 2*w - 4*w + f = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -12, 4, 0.1, -3 in increasing order.\nAnswer: -12, -3, -0.4, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 25\/(-5) - -7. Let x be 364\/18 + u - 88\/396. Let y be (-2 - -4) + (-1 - -1). Solve -y*g - 3*i = 2*i + 1, x = -5*g + 3*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -50. Suppose -8920 = -4*t - c*a, 3776 = 3*t - a - 2918. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/424 and -27\/6890.\nAnswer: 27560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 290 = -34. Calculate the common denominator of -25\/81 and (-264)\/(-18)*z\/(-32).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*c + 4255 = -16*c. Let b be ((-4)\/c)\/(-9 - (-1095)\/125). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2672858 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 4*w**2 - 5. Calculate f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 12:23 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 7*k + 60. Solve 5*w + 2 = 7, k*a - w = -26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-7)*(-532)\/228?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 3*w**2 + w. Let r(j) = -179*j**3 - 3*j**2 - 3*j. Let s(u) = o(u) + r(u). Find the second derivative of s(i) wrt i.\nAnswer: -1086*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 16 = 5*g. Suppose m - 57 = 3*p, m = 4*p + 71 + g. Let j be (-58)\/p + 6\/(-27). Solve 0*k = -j*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:53 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -151 and -0.15545388.\nAnswer: -151.15545388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -12)\/88 + (-7)\/(-319)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2359, -2354, -2345, -2332, -2315?\n\"Answer: 2*k**2 - k - 2360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 292 - 10095973290.94.\nAnswer: -10095972998.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (-35 - -42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-52)\/130)\/((-2)\/20). Suppose 5*i - 3*p - 247 = 0, -p = -5*i + f*p + 255. Suppose -41 = -8*a + i. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (9 - -5) + 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1084*j - 5593 = 1203*j for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 7*a - 19. Let r be x(3). Suppose -r*y + y = -1240. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12122 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49621 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*r + 3*t + 1, -2*r = t + 2. Let m be (10\/30)\/(r*(-13)\/(-6)). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 - (0 + 2)\/2. Let a = 412 - 289.5. Let d = -122 + a. What is the nearest to 1 in d, i, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**4\/3 - 5*h**3 - 3*h**2\/2 - 4*h + 3. What is the remainder when m(16) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)*z*z*z*z)\/(z\/z**(-1\/11))*z**5*(z\/(z*z**(2\/5)*z))\/z assuming z is positive.\nAnswer: z**(2011\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -26. Let w = z - 5. Let v = 0.1 + 1.9. What is the third smallest value in w, -3, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 3. Let c(i) be the second derivative of -i**3\/6 - 3*i. Let o(n) = 5*c(n) + z(n). What are the prime factors of o(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q. Let l(i) be the second derivative of -i**5\/60 - 5*i**2\/2 - 9*i. Let m(g) be the first derivative of l(g). Give x(m(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-104))\/(90\/(-60)). Which is smaller: -0.24 or y?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 52?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 65445.6ml?\nAnswer: 65.4456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546994 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.3 (b) 191\/20 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-50)*(-40)\/(-36)*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-3)*d**(1\/40)*(d*d\/d**(8\/5))**(-2\/11) assuming d is positive.\nAnswer: d**(-901\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-20))\/((-7548)\/204 - (-1842)\/50)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = y + 11. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8357 and 5246?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.09, -0.83, 7339, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7882, -15525, -22940, -30133, -37110, -43877, -50440?\n\"Answer: -i**3 + 120*i**2 - 7996*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6252, -795, 8?\nAnswer: -6252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 7*l - 5. Let f be u(8). Let m = -94 + f. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 371 + -238. Suppose 60*j - 61*j = -7. Calculate the greatest common factor of c and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 + 3*u + 3. Let a(k) = 3*k**2 - 2*k - 2. Let q(o) = -6*o**2 - 9*o - 6. Let b be q(-1). Calculate b*a(r) - 2*j(r).\nAnswer: -2*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 120*a - 6961. What is d(58)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185209, -370426, -555645, -740866, -926089, -1111314, -1296541?\nAnswer: -1481770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*h - 167 = -1214 - 113 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 19. What is the remainder when l(8) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4856 - 4850. Solve -c*f + 5*f = -11*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141 - -163. What is the greatest common factor of 2684 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 0.006488374.\nAnswer: 11.006488374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 1990632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 484?\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190 - -191. Let f = 132146\/95 + -1391. Is j smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 2\/(-4)*(37 - 79 - -32)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 31*c - 90 = 18*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 12*d + 13. Let s be o(-13). Suppose 0 = 4*t, -2*p - t - 2 + s = 0. Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -303920*j + 10333272. Give s(34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.6. Let y be (2 + (-27)\/15)*(-39 + 50 + -1). Which is the nearest to y? (a) -0.2 (b) u (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -17*s**2 - 18*s. Let a(m) = -17*m**2 - 18*m. Let h(x) = -4*a(x) + 3*y(x). What is the second derivative of h(q) wrt q?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 447*p + 5233. What is f(-12)?\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**5 - t**2 + t - 1. Let s(a) = -7*a**5 + 2*a**2 + 2. Let w(q) = -2*s(q) - 4*y(q). Find the second derivative of w(h) wrt h.\nAnswer: 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6 - 5*n - 13 - 7*n + 11*n - 11. Determine r(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**5 - 623*m**3 - 99*m - 3 wrt m?\nAnswer: -40*m**3 - 3738*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, -6, 252, 7, -1, 0 in decreasing order.\nAnswer: 252, 7, 1, 0, -1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 1:24 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/7156 and 131\/408.\nAnswer: 729912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -69958.4393 rounded to the nearest one hundred?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*1)\/(7\/(84\/(-8))). Solve s*y = 2*f + 4, 5*y - f - 5 = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -25.8. Let d = w + 5. Which is the nearest to d? (a) -1 (b) 3 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164443 by 27.\nAnswer: 164443\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001 + -1001010?\nAnswer: 101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/((-3)\/27). Suppose -4*z + 16 = 0, 0 = 4*j + b*z - 185 - 479. Let x = j - 2929\/18. Find the common denominator of -83\/6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211855 (base 9) to base 5\nAnswer: -13013321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8383\/13 + 645. Which is the second smallest value? (a) -40 (b) -4\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/3*-4 + -3 + 1. Let a be 7\/5 - c*2\/20. Let x(h) be the second derivative of h**5\/10 - h**4\/4 + h**3\/6 - h**2\/2 + 7*h. Determine x(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 17 - (-118 - -106)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.1 + 7.8. Let x = r - 3.95. Let p = x + 1.250067. Round p to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) - sqrt(90)*1)*-1 - sqrt(90))\/sqrt(5))\/(-2*(-1*sqrt(729) - sqrt(729))).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -1 (c) -0.1 (d) 58590 (e) -2 (f) 0.5 (g) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.4, -3, 7.8, 3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52370 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 8*g - 10*g - 32, f = -5*g + 22. What are the prime factors of 48\/(1\/4*32\/f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2460795 divided by -5657.\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 216*i**3 - 360*i - i**3 - 75*i**2 - 20*i**4 - 45*i**4 - 2*i**5 + i**5 + 6*i**5 = 0.\nAnswer: -1, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 26*t**2 + 2. Let y be j(-2). Suppose -4*z - 14 = y. Let o = z + 54. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 25*v - 30.\nAnswer: -5*(v - 3)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759243?\nAnswer: 3, 253081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2472*c + 84437. Determine z(34).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(9) - (-1*sqrt(9) - sqrt(9))) - 2*sqrt(300))**2*4 + ((-5*sqrt(108) + sqrt(3))**2 - (2 + sqrt(12))).\nAnswer: -2*sqrt(3) + 21487\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:26 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**3 - 55*d**2 + d**3 - 273*d**2 + 59*d**3.\nAnswer: 86*d**3 - 328*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16952709*f**2 + 2 - 1 - 16952742*f**2.\nAnswer: -33*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614576392.\nAnswer: 2, 79, 972431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.3. Let k(f) = -541*f**3 + f**2 - f + 1. Let y be k(1). Let s be (-200)\/y*3\/5. Does a = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (19 + 11 + -46 + 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2124*m. Let p(z) = -6*z + 2. Give p(h(d)).\nAnswer: -12744*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 69169296.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + 90. Suppose -u + 6*u = i + m, 4*i + 136 = 5*u. What is the remainder when u is divided by -1*((-155)\/15 + (-2)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136556544 to the nearest integer?\nAnswer: 11686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49592786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -281, -38, 0.1, -0.2, -3\/5?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -6069887?\nAnswer: 6069877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 2:43 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/51568605 and 23\/206274420.\nAnswer: 206274420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038*l + 1030*l + 35351 + 30825 = 0 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sororg. Give prob of picking 1 g and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 119 - -9\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 14 = -5*w + 168, -5*w - 4*l = -158. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 141, 3, -0.02722, -0.1 in descending order.\nAnswer: 141, 3, -0.02722, -0.1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert c5c (base 15) to base 7.\nAnswer: 11061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -26*o + 20. Calculate p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let w(n) = -2*n**2 + 15*n + 17. Let v be w(-1). Let b(a) be the second derivative of 0*a**3 + 31*a + 23\/12*a**4 + 1\/2*a**2 + v. What is g(b(m))?\nAnswer: -23*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492 by 123.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 3*m + 7. Is 17 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/45 (b) 701 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25945 times -0.24\nAnswer: 6226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1619262*x**3 - 809491*x**3 - 809857*x**3.\nAnswer: -86*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13aca (base 15) to base 4.\nAnswer: -33123112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*n + 2562, 515 = 2*n - n + 3*a. Let o = -139 + n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1696*g**5 + 8*g**4 + 5*g**2 + 173*g wrt g?\nAnswer: 101760*g**2 + 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 21 + 31. What is the nearest to 2\/5 in d, 4\/7, -79, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 78 = -2*o, -3*o + 96 = -6*o - 5*b. Is -41 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2 = 2*y - y, 206*m - 49 = 203*m + 5*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*q - 7242 = -274*q + 13303. What is the remainder when q is divided by 203?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/152373376 and -85\/171420048?\nAnswer: 1371360384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12240 = 52*q - 196*q for q.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n - 4. Let r(j) = 9*j - 3. Calculate -6*r(l) + 5*s(l).\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s + 1)*(1 + 1 - 1 + (1 + 4 - 3)*(-3 - 1 + 5))*(0*s - s**2 + 0*s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = i + 14, -i + 1 = 3*v - 9. Find the second derivative of 0 + 0 - 9*w**v - 4*w - w**3 wrt w.\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/4)*c*c)**31\/((((c*c**(-2)*c)\/c)\/c*c)\/c)**(-3) assuming c is positive.\nAnswer: c**(317\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 82, -5, 46 in ascending order.\nAnswer: -57, -5, 46, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18\/17, -0.002, 2.6, 0.4?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.6. Let k = -2281\/2 + 1143. Let f = -49 + 50. Which is the third biggest value? (a) f (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 80317444*i**5 + 1325166130*i**4 - 804357408*i**3 - 2047377598*i**2 + 1828088*i - 408 = 0?\nAnswer: -17, -1, 2\/4481, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79.81 - -1.19. Let j = t - 54. Let a = j - 27.013. Round a to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 57050653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5889299 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((-2236)\/27950)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 594521263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1 - -1) + 21)\/2. Let l = -11 + d. Do 0.06 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163687*b**3 + 57*b - 624?\nAnswer: 982122*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddnnddddddddcddddnd. What is prob of sequence dc?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 144\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**2 - 12 + 78*h - 1\/3*h**3. What are the prime factors of f(0)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 20 - 5. Let t(c) = -3*c + 3*c**3 + 2 - 2*c**3 - c**2 - 5*c**3 + 2. Let z be t(1). Sort q, z, 3.\nAnswer: z, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = s + 4*h, 2*h = 5*h - 3. What is the second derivative of p**s + 0*p - 3*p**5 - p + 7*p wrt p?\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 1 - 4)*(z + 5*z - 4*z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/24 and 65\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 + 3*c**3 + 12*c**2 + 10 - 9 + c**4 as r + l*c**3 + v*c**2 + x*c + p*c**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 3*s**2 - s**2 - 2*s**3)*(-5*s - s - 2*s).\nAnswer: 16*s**4 - 40*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166519023 - -335529023. Round k to the nearest 1000000.\nAnswer: 169000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.004 - -93.004. Let l = 159.5 - 81.1. Let s = n - l. Round s to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) + 10\/(-25). Suppose d = 3*q + 2*q + 2*l - 24, -2*l + 20 = 4*q. Suppose 163*g = 152*g. Solve g = -q*x - 6 + 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1988987?\nAnswer: 7, 11, 13, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 85*m**2 + 76*m - 1173. What are the prime factors of q(85)?\nAnswer: 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1900) - sqrt(1900)*-1))*1 - ((sqrt(19) - sqrt(38)\/sqrt(50))**2 + (sqrt(152)\/sqrt(8) - sqrt(19))*6).\nAnswer: -329\/25 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - t + 0*t + (0*t - 2*t + 0*t)*(-1 - 2 + 5) - 3*t + 4*t + 20 - 13 + (t + 0 + 0)*(2 - 1 + 0) + t + 0 + 0 to p + j*t and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3\/2, -84\/19, 2\/11, -15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3176?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2 + 3 + m - 5. Let d(y) = -4*y**3 - 2*y - 1. Let u be d(-1). Let s be j(u). Solve -s*b - 5 = -0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-12)*b\/b**(-5\/2) assuming b is positive.\nAnswer: b**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33754174, -33754178, -33754194, -33754228, -33754286?\nAnswer: -33754374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -281, -1025, -2233, -3905?\n\"Answer: -232*x**2 - 48*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -2. Let m be (b\/9)\/((-1)\/(-321)). Let f = m + 334. Calculate the greatest common factor of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24894344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3383051*u**2 + 3*u - 11850714 wrt u?\nAnswer: 6766102*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -759*p. Let g(f) = -29670*f. What is g(j(c))?\nAnswer: 22519530*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-715)*(-3)\/((-96)\/(-40)))\/(1\/12)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33853*k**4 - 6077*k**2 wrt k.\nAnswer: -812472*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 748706?\nAnswer: -748705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4444440.\nAnswer: 2, 3, 5, 7, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 2*v**2 + 2*v + 2. Let t = -119 - 25. Let q be t\/15 + 119\/(-85). Let c(n) = 4*n**3 + 11*n**2 - 11*n - 11. What is q*y(j) - 2*c(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l = -422 - 7. Let a(v) = 4*v - 5. Calculate the remainder when l is divided by a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*g + 5. Let v = 11 - g. What is the lowest common multiple of v and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 42*o - 245. Suppose 489 - 1133 = -o*l. What is the remainder when l is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 8*z - 5. Suppose -3*a = 18, -2*w = 17*a - 14*a + 40. Calculate v(w).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2157025 millilitres to litres.\nAnswer: 0.0002157025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqoatqtoq. Give prob of sequence ta.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 4, -4, -2 in decreasing order.\nAnswer: 4, -2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -634, -1410, -2496, -3892, -5598?\nAnswer: -7614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(208) + 4)*-1)**2.\nAnswer: 24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.094*-13.22.\nAnswer: 1.24268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12645930 and 10\/11.\nAnswer: 12645930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 25 = -t - 5*s, -10 = -3*t + 2*s. Let i(y) = y**3 + 6*y**2 - 7*y + 12. Let c be i(-7). Solve t = -2*w - w + c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 18*x + 3015. Let u be z(45). What is the highest common divisor of u and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 = 0, 38*o = 4*a + 41*o - 107. Which is greater: 22 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from raeeeaeaxkxxxax?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 15. Determine o(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f + 6*f**2 + 51*f**3 + 4*f**2 + 2 - 14*f**2 + f**2 - 2*f**2 as d + j*f + a*f**3 + l*f**2 and give a.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 10*t + 2. Let r be a(-9). Let i = r + 12. Suppose i*w - 3*m = 3 + 5, m = 4. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h + 7. Let r be u(5). Let s = 397 - 395.978. Let k = -0.522 + s. Which is the closest to -1\/4? (a) -5 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 - -96.1?\nAnswer: -23.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*f - 7*f - 11*f)*(4 - 4 + 3) + (5*f + 2*f - 4*f)*(-4 - 2 - 2) - 5*f + 3*f - f - 2*f + 3*f - 7*f to c + t*f and give t.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*((22\/(-10))\/(770\/1925) + 18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6108, -6059, -5908, -5613, -5132?\nAnswer: -4423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145*t**2\/2 + 14810*t + 4080.\nAnswer: 5*(t + 204)*(29*t + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (232\/(-20) + 2)\/(8\/(-60)). Let t be (x\/(-10))\/(42\/(-315)). Which is smaller: t or 55?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026830 - 8866?\nAnswer: 2017964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6694*v + 116. Let l(b) = -1339*b - 25. Calculate -3*d(q) - 14*l(q).\nAnswer: -1336*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) 11 (c) -4\/3 (d) 4 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 22 = -4*f. What is the remainder when -31 + 25 - -7*4 is divided by f\/4 + (-4)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/k**1)\/k)\/k)**39*k**9\/(k**8\/k) assuming k is positive.\nAnswer: k**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(36\/(-1)))\/((-6)\/24).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 + 51 - 3146*m**2 - 181 + 62 to the form l + i*m + y*m**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 153428 and 0.5?\nAnswer: 153427.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -5, -6, -2, 132 in ascending order.\nAnswer: -6, -5, -2, 69, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l. Let u(j) = -6083*j**2. Determine u(y(t)).\nAnswer: -54747*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = 4*x, 5*h = -3*x + 31. Suppose -182*u + h = -181*u. Solve 0*p - 25 = -u*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - k = -21, 17 = 4*c + 2*k - k. Suppose c*s - 8 = 2*b, 2*s = -0*s - 3*b + 12. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -633*x**3 - 3*x**2 + 3*x + 1. Let j(m) = -1896*m**3 - 10*m**2 + 10*m + 4. What is 10*a(z) - 3*j(z)?\nAnswer: -642*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60, -224, -466, -768, -1112?\n\"Answer: 3*d**3 - 57*d**2 - 14*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 6.5, -0.5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + 2*a**3 - 3*a**3)*(a**2 + 0*a**2 + 0*a**2) + (5 + 6 - 3)*(-3*a**5 - 22*a**5 + 0*a**5 + (2*a**2 - 2*a**2 - 2*a**2)*(-3*a**3 + a**3 + 3*a**3)).\nAnswer: -214*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 - w + 1. Let o be x(-2). Let q(u) = 3*u**2 - 2*u - 2. Let d be q(-2). Let v = o + d. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**2 - 2*k - 4. Let s(g) = -6*g**2 - 3*g - 3. Determine -4*s(q) + 3*t(q).\nAnswer: 3*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 6*p + 3*p + 4*p - 15*p**3 + 14*p**3 + 3.\nAnswer: -p**3 - 5*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.61 + 0.51. Put 2, -4\/25, j, -5 in decreasing order.\nAnswer: 2, j, -4\/25, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2144 (base 13) in base 11?\nAnswer: -351a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/15*3318\/(-9). Let n = 222 + d. Factor n + 2\/5*p**2 + 6\/5*p.\nAnswer: 2*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u = 4. Let z(i) = -2*i. Let w(a) = -3*a + 1. Let x(h) = 5*w(h) - 8*z(h). What is x(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*v**3*z**3 - 52*v**3*z + 2*v**2*z**2 + 3817*v*z**3 + 2*v*z wrt v.\nAnswer: 852*z**3 - 312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115833 - -115667.4956. Let s = -162.9 - m. Let q = s - 2.6. What is q rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57, -110, -163?\n\"Answer: -53*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:00 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -75. Let y = 12 - v. Let r = 3 + -3.4. Which is the nearest to y? (a) -2\/19 (b) -2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 574*v**2 - 8417*v - 3357. What is b(301)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1300) + -1)*-4 - -6*(-1 + sqrt(1300) + sqrt(1300))))**2.\nAnswer: 480*sqrt(13) + 83209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-14)*(-70)\/(-15). Let x(c) be the first derivative of 7*c**2 + 0*c**2 + m*c**2 - 6*c**2 + 6. Let u(p) = -2*p**2. Determine x(u(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.025, -195128, -1.5 in decreasing order.\nAnswer: 0.025, -1.5, -195128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11489982 + 22979961 - 3*o - 11489979.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + q - 18 = 0, 0 = -2*y + q + 3. Suppose -y*h + 8 = -31. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -273558 (base 9) in base 11?\nAnswer: -104249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w*w**13)*w)*w*w\/(w*w**(1\/5)*w) assuming w is positive.\nAnswer: w**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kykyy. What is prob of sequence ky?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5322 - -5323. Let v = 6 - 2. What is the closest to z in v, -12, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 7*m**3\/3 - 7*m**2\/2 + 10*m - 3. Let z be g(-7). Let p be 6\/(-15) - z\/(-5). What is the greatest common factor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 5607242*l**2 + 67287120*l + 201861576.\nAnswer: -2*(l - 2803633)*(l + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 15*s**2 + 0 + 0.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 8*j - 1593. Suppose -13*q - j = -4834. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*a**2 + 5*a**2 + 166*a**2.\nAnswer: 387*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 13, f: 5}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**3\/2 + 3*h**2 + 14*h + 18. Let r(n) be the first derivative of k(n). Let v be r(-2). Is 2\/13 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*l - 140 + 140)*(-1 + 8*l**3 + 0 + 1) + (38*l - 6*l**2 - 38*l)*(7 - 7 - l**2).\nAnswer: 294*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/6 + -1)\/((-3)\/(-11 + 50006)).\nAnswer: 2, 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327.39082 + -22?\nAnswer: 305.39082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + y + 26. Let d be o(0). Let f(t) = -t**2 - 2*t + 3. Let c be f(-3). Suppose -3*m + 51 = 5*h, -2*h - m - 3*m + d = c. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -3 (b) 19 (c) 918\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 14. Suppose -5*w + 3*d + 56 = 0, -w - 2*d = d - 4. Calculate o(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**2\/2 - 2. Let c(y) = -2*y - 1. Let u(g) = 3*c(g) - 8*k(g). Suppose -2*w - w = 5*x + 3, -3*w = -x - 15. Determine u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 - 320*o + 3205. Let z be b(10). What is the highest common factor of 707 and z?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 106*n**3 - n**2 - 10*n. Suppose 4*v = 22*v - 54. Is i(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9291*r - 4991*r - 2857*r)*(3*r + 8*r - 4*r).\nAnswer: 10101*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 83 - 110 = l, 4*j + 14 = -2*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 0*a**2 + a**3 - 3*a**2 - 4*a**2 + 2. Let n be g(5). What is the units digit of -1 - (n + -2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942212?\nAnswer: 2, 235553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*p**4 - p + 5*p - 53*p**4 - 2*p**3 - 2 as q*p**3 + d*p**2 + w*p + y + t*p**4 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 5*c**2 - 2*c - 5. Let k be a(-4). Suppose -1 + k = -3*y. Let t be 16\/(-6)*27\/y. Calculate the highest common divisor of t and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - (-9 - ((1 - 5) + -7 + -10))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i. Let t be x(-1). Let k(o) = -4 - 2 + 2*o**2 - t*o**2 + 6*o. Let j(q) = -2*q**2 + 13*q - 13. Give 6*j(g) - 13*k(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9 and -20\/47 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + 325\/30)*51\/272 and -121\/60?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 26597600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14338 by 3.\nAnswer: 14338\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 359*b**2. Let k(r) = -620*r**2 - 608*r**2 + 1227*r**2. What is j(k(d))?\nAnswer: 359*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v + 1. Let h be z(-1). Suppose s = 3*q + h, 3*q - 6 = -0*s - s. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -5*k + 1, 3*a = k + 5. Suppose -5*o = -a*o + 6. Let v be 286\/55 + o\/10. Solve 0 = 3*n - 12, -52 + 12 = 4*i - v*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37868*g**2\/3 + 340990*g\/9 - 178\/3.\nAnswer: -2*(g - 3)*(56802*g - 89)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8064, -7730, -6592, -4248, -296, 5666?\nAnswer: 14040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 26 - 7)*(-4*f + 4*f + 3*f**5) + 0*f**5 - f**5 + 0*f**5.\nAnswer: 71*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297471 and 68847.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3746 + 3746.4. Let v be ((-21)\/2)\/(9\/(-12)). Let p be (2\/(-14))\/(v\/(-49)). Which is the third biggest value? (a) -0.4 (b) l (c) -5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 - 136.67. What is z rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(11) - (sqrt(11) + 0)))**2 + sqrt(11) + sqrt(891) + 0 - -3*(sqrt(55)\/sqrt(5) + 0).\nAnswer: 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 + k**2 - 2 + 2*k**3 + 1 + 5*k**3 in the form a + o*k + l*k**3 + d*k**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 436225422 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 36 = 3*l. Let h = 8 + 1. Let a be 12\/h*6\/4. Solve u = -u - a*d + l, -u + 3*d = 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -271\/78 + 56\/13. What is the closest to 0 in 0.9, h, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 163407? (a) 2 (b) -0.25 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 48468\nAnswer: -872424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 8. Let c(o) = 3*o + 7. Suppose 5*j = 4*n + 35, 4*n - 7 = -0*j - j. Let h(y) = -8 - j - 9*y + 2*y. Calculate w*c(m) - 6*h(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (44\/(-7) - -6) + 260406*(-3)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + 62. Calculate the remainder when 22 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/4 in 0, -4\/5, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*l - 2*m - 2*m, 0 = l + 2*m + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*1*-5.\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 2*t + 1. Let n be f(-1). Let q = -1647758\/219 + 7524. Do q and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 271*d + 931. Let v(h) = -h + 42. What is k(v(p))?\nAnswer: -271*p + 12313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -24. Let a = 44 + h. Suppose -v - 4*p = -2*v - a, 5 = p. What is the third biggest value in 0.5, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-5 + 2)\/(-6). Suppose 2*p + 0*p + 28 = s. Let r = -6 - p. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erennrnenererreee. Give prob of sequence er.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-210)\/20 - -9)\/((-3)\/617810) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -32 in decreasing order.\nAnswer: -1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*1*522\/(-754)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257939, -257938, -257937?\nAnswer: -257936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1665875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 319\/(-87) + 158\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369420?\nAnswer: 2, 3, 5, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -441656, -442731, -443806, -444881, -445956?\n\"Answer: -1075*n - 440581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41245 and 9605.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/13 greater than -5164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.8 (b) 10\/77 (c) -0.036 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4+9771\nAnswer: 9775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + -81848465?\nAnswer: -81848448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 38 = 47 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p = -10*q - 41*p - 28, 2*p = 3*q + 2*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*d**4\/8 - 13611*d**3\/8 + 6792*d**2 - 13575*d\/2.\nAnswer: 3*d*(d - 2)**2*(3*d - 4525)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**3 - 5*k**2 - 135*k + 532. Determine i(4).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m**2 + 5*m + 9. Let a be s(-2). Suppose 0 = -28*t + a*t - 6. Solve -5*h = -5*p - 5, -2*h + 4*p - t = -0*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -796\nAnswer: -5\/796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.7 - -1.7. Which is the third smallest value? (a) 0.2 (b) g (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/18*-3)\/((-1)\/8). Let d be (-20)\/(-6)*(-6)\/g. Suppose d*k - 13*k = -808. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (20 + (-1 - 5))) + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1542, -3579, -5616?\n\"Answer: -2037*p + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:39 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.360903 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 + 3*f**2 + 3*f**2 - 5*f**2 + 1 - 3*f**2 + 9*f**4 in the form o*f**2 + t*f**4 + j*f + y*f**3 + l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:10 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1212, 5314, 12302, 22176, 34936?\nAnswer: 50582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*g + 252*g - 5*q + 496 = 0, 372 = -3*g + 4*q. Is -1352\/11 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*u + 145, 3*j + 37 = 3*u - 182. Suppose -u*k + 84 = -72*k. Suppose -140 = -2*o - 3*o. Calculate the greatest common factor of o and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2\/6 + 214369*g\/6 + 2143490\/3 = 0?\nAnswer: -214349, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 291691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 - -98. Let d(g) = g**3 + 7*g**2 - 7*g + 6. Let l be d(-6). Let y = l + t. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3115.87 - -3116. Which is the fourth biggest value? (a) 37 (b) -5 (c) j (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 48*c**2 + 150*c + 970. Determine u(-46).\nAnswer: -1698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*t - 2*t - 7696. Solve -t = 3*b - 293 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2103*j - 527*j - 2795797*j**2 + 2795454*j**2 wrt j.\nAnswer: -686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000087596 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, v: 6, y: 2, h: 2}. What is prob of sequence vyy?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1300))*1 + 0 + -4.\nAnswer: -5 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -163.\nAnswer: -5\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*t + 3069 = 148*t - 1903 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-630)\/40*2\/3)\/((-18)\/(-24))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k. Let b(h) be the third derivative of -h**8\/1344 + 29*h**5\/60 + 13*h**2. Let t(n) be the third derivative of b(n). What is t(j(g))?\nAnswer: -375*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15554906 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50248 and 11.\nAnswer: 50248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 851 = -860. Solve 5*h + 2 = 2*d + o*h, 2*d = h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-135) + 129\/45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 11*h + 31. Let l be z(14). Let t be (-5)\/(-30) + (0 - l\/6). Let j = 42 + t. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 - 916600*i - 42172064 = 0. What is i?\nAnswer: -46, 229196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 3230?\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.025 <= 184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3497000*s**2 - 2*s - 2. Let j be d(-1). What is j rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6552 in 1\/29, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 9*z**2 - 11*z - 8. Let g be k(-10). Let q(y) be the first derivative of -4\/3*y**3 - 3*y**g + 2 - 2*y. Factor q(t).\nAnswer: -2*(t + 1)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = v + 2*x + 207, 2*v + 3*x = -379. Let i be (5 - 0) + 4 + -13. Let j be v\/i - -1*(-9)\/(-12). Calculate the highest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29553 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(114)\/sqrt(6) - sqrt(19)) + 5 - (2 + sqrt(38)\/sqrt(2) + sqrt(19) - ((2*sqrt(171))**2 + sqrt(171))).\nAnswer: -2*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4b13 (base 14) to base 2\nAnswer: 11001101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1, 4, -4 in ascending order.\nAnswer: -27, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5.9 times 0.3\nAnswer: 1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75803602 to the nearest integer?\nAnswer: 8707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -0.5 (c) 0.2 (d) -6\/11 (e) -683\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) + (-30)\/(-18). Let k(f) = 3*f**2 - 2*f - 1. What is k(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 25*u + 89. Give g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*i - 1. Suppose -13 = -5*m + 12. Let c = i + m. What is the least common multiple of 2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 - 7*u - 5. Let b(z) = -9*z**2 - 15*z - 11. Let m(a) = a + 2. Let j be m(4). Suppose 123*l = 118*l - 65. What is j*b(r) + l*h(r)?\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*i - 82 = -6*o, 0 = -o + i + 78. Let v be ((-119)\/56 + 2\/16)*-3. Let q be 6*v\/24*148\/2. What is the highest common factor of q and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n - 5. Let t(g) = -1. Let h(v) = l(v) - 5*t(v). Let j(p) be the third derivative of -7*p**4\/8 - 27*p**2. What is 17*h(u) + 6*j(u)?\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.52 + 14.02. Let p = -246 - -245. Which is the nearest to 21? (a) -3 (b) p (c) k (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, -1.3, 37 in descending order.\nAnswer: 37, -0.14, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*p = -21, 4*r - 3*p = -0 - 8. Let o(i) = -742098615 + 4*i**2 + 742098617 - i - 20*i**2. Determine o(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 18. Let z(o) = 829*o**2. Determine z(b(q)).\nAnswer: 7461*q**2 - 89532*q + 268596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 4*b - 4*b + (b**2 - b**2 - b**2)*(-4 + 2 + 1) - 14 - 37*b**2 + 2174*b + 34 - 2175*b.\nAnswer: -35*b**2 - b + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 7\/20*z**5 - 1\/2*z**2 + 1\/30*z**6 + 0 + 36*z + 10\/3*z**3 + 0*z**4. Find the second derivative of g(d) wrt d.\nAnswer: 12*d**2 + 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 911*w + 62858. Calculate x(-69).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30529 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1047 + -1046. Let k = 23 - 3. What is the smallest common multiple of k and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1968647 and 1197?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 0)*3 - (5 + -1 + sqrt(80)) - (sqrt(80)*-2*5 + (sqrt(80) + sqrt(80)*-2 + -1)**2).\nAnswer: -85 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 154*u**2 - 2849*u + 113245. Determine o(167).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119574 is divided by 256.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8737 - 8719. Which is the third biggest value? (a) 3 (b) 4\/7 (c) p (d) -5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1279292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -5. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 16326?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 8*t - 5. Let s be f(9). Suppose s*p + 359 - 95 = 0. Calculate the common denominator of (-819)\/(-26)*8\/p and -71\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-8)\/(-4) + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2\/93)*(-6609)\/(-19827).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -339, -480, -613, -744, -879?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.436 + 177.564. Let z = -178.00093 + k. Round z to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 138.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*w + 113*w - 26*w)*(-3*w**3 - 4*w**3 + 5*w**3) as v*w**3 + q + k*w**4 + g*w**2 + n*w and give k.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 2)\/(2\/8). Suppose 3*a + 2*z + z - 27 = 0, -o*z - 18 = -5*a. What is the remainder when 20 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 5*b**4\/24 - 785*b**3\/12 - 795*b**2\/2 - 11492*b. Determine f so that p(f) = 0.\nAnswer: -2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -i + 5*i - 71, -i = -w - 56. Let v = w + 155\/3. Determine k so that v + 1\/3*k**2 + k = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waw when three letters picked without replacement from {a: 3, w: 1, f: 1, x: 1, o: 5, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 515585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 17 (b) 1\/2 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**2\/2 + 12*o + 7. Let i be t(7). Find the second derivative of -i*g**2 - 10*g**3 + 5*g**2 + g**3 + 6*g wrt g.\nAnswer: -54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4 = -2*d + 7*r, 7*d - 20 = 17*d + 4*r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(1\/35)*b)*b**(-6))\/(b\/b**(-13))**(2\/35) assuming b is positive.\nAnswer: b**(-239\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -511a (base 11) to base 2.\nAnswer: -1101010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -1227.06?\nAnswer: 1214.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1314 and -71\/18?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 391 and 805?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2467\/19832 - 3\/4958. Let v = 2 + -1.5. What is the smallest value in n, 2, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 1914?\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 1 + 1 + (-1 - 2 + 0)*(1 - 1 - 3*q) - 3*q + 6*q + 2*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 3)*(4*j - 3*j + 3*j) + (2 + 1 + 0)*(-93*j - 96*j + 200*j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a gram in milligrams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 160, 120, 8, -212, -576, -1120, -1880, -2892?\n\"Answer: -6*n**3 + 2*n + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12102*y**4 - 9*y**2 + y - 627556 wrt y?\nAnswer: 48408*y**3 - 18*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - g**2 - g. Let n be r(2). Suppose -60 = -4*o + n*o. Suppose -c + 15 = q, 5*c + 39 + o = 3*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -9, -2, 2, -3 in ascending order.\nAnswer: -13, -9, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*v + 6, h + 3*h + 3*v - 2 = 0. Let l(y) = -3*y + 2. Let g be l(h). Let s be (0\/(-2))\/(8\/g). Solve s = 2*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = m, -5*m - 4*n = -17 - 12. Suppose -5*t = m*u - 0*u - 100, 3*u - 65 = -2*t. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1055 - -1061. Solve -d*y + 39 = 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76973866 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10778.\nAnswer: 2, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720347.\nAnswer: 19, 31, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428 and 79929?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3878 + 3900. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ae190 - 1?\nAnswer: 1ae18f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 0. Let u be (-4)\/(-14) + 258\/(-1344). Let x = -47\/160 + u. What is the third biggest value in x, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4\/(-10))\/(3\/(-15)) + 1234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2250, 2253, 2256, 2259, 2262, 2265?\n\"Answer: 3*f + 2247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) 0.2 (d) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1762 - 1032. Does 14 divide m\/15*(-3)\/2*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 29*b + 102*b - 69*b + 4*b**4 + 4*b**5 - 8*b**2 - 8*b**3.\nAnswer: 4*(b - 1)**2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 43*b**2 + 99*b + 5924. Give u(-42).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*m - 27. Let z = m + 28. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890488 a multiple of 1221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 7. Let a be c(4). Let t(w) = -2*w**2 + 4*w - 1. Determine t(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -63*z + 73*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:45 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 12*l - l. Solve -d - 2*d - l*a = 17, d + 3*a + 7 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 23. Let t = 20 - l. Suppose -r + 9 = -0*r. Calculate the highest common divisor of t and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 4*h**2 + h + 2. Suppose -o - 4*x + 8 = 0, -3*o + 2*x + 8 = -2*x. Let n be g(o). Solve -2*a + 3*d + d + n = 0, 0 = -5*a + d - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 498 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) 1\/6 (c) 4.5 (d) -864\/13 (e) -3 (f) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56118*r - 56044*r - 2664 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -35153126*u**2. Let b(n) = -6*n**2. Calculate y(b(t)).\nAnswer: -1265512536*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 3*w + 3*w)*(-1 + 1 - w) + (1 - 1 - 3)*(-2*w**3 - 2 + 0*w**2 + 0*w**2) - 11*w**3 - 1 - 9*w**3 + 24*w**3.\nAnswer: 13*w**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8669284, 8669283, 8669282, 8669281, 8669280?\n\"Answer: -w + 8669285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtttttrttttttr. Give prob of sequence rrtr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 + 7*j**2 + 4*j + 25. Calculate n(7).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 305937 and 1539?\nAnswer: 5812803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 40, -5\/2, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 15*m + 137 + 94.\nAnswer: 14*m + 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 11. Let g be j(12). Suppose -845 = -g*f + 8*f + 2*n, -4*f - 4*n = -648. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 9*j + 54. What are the prime factors of (j + -2)*11490\/(-60)?\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13778803 or -13778799?\nAnswer: -13778799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g - 2 + 2 - 9*g. Let r(y) = 11*y**2. Give r(n(c)).\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 11 = l, 5*z + 111 - 86 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 389560300 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*k - 3*k. Solve 3*l = -k*o + l + 2, -2*o = 3*l - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 358009.818 to the nearest one hundred.\nAnswer: 358000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/116 + 10211\/812. Let l = v + -2603\/210. Let r = 552\/5 + -110. Is l less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d - 3*d + 4*d. Suppose -n + f + 10 = 0, -2*n = 3*n + 4*f - 5. Let q(k) = n*k - 9*k + 3*k. Calculate l(q(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + (-6 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by -13\nAnswer: -176\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 94\/7*o**4 - 22\/7*o**2 - 72\/7 - 206\/7*o**3 - 10\/7*o**5 + 216\/7*o = 0?\nAnswer: -1, 2\/5, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -2 - -7) + 0 - -3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aafjfjfjocfjfff. What is prob of picking 1 o and 1 j?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4669*m - 13336*m - 9815*m - 814*m to f + q*m and give q.\nAnswer: -19296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:27 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 13*u + u)*(-4*u - 2*u + 5*u) + (-8*u + 4*u + 7*u)*(-3 - u + 3) + (-u - u - u)*(0*u - u - u) in the form b*u + w*u**2 + q and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 296320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 5*k**2 + 3*k - 2. Let n be o(5). Let y(x) = -x**3 + 32*x**2 - 12*x + 12. Let p be y(n). Suppose -5*f = -1188 - p. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 1, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 416 - 411. Suppose 22*z - 10268 = w*z. What are the prime factors of z?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 286 = -5*a, -19*a - 5*j = -629 - 519. Calculate the greatest common divisor of 21545 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 17*j + 5 + 9*j)*(0*j + 2*j + j) - 2*j + 2*j - 2*j**2.\nAnswer: -26*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 75*m - 82*m. Is 41 a factor of m\/((-9)\/(-6)*(-4)\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**5 - 15*y**4 - 45*y**3 + 135*y**2 = 0?\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2420802 is divided by 121040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 14.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 + 5*u + 2. Let n(w) = w**2 - w - 1. Let s(v) = d(v) + 4*n(v). Let z be s(2). Let h be z\/16 - 22\/(-8). Solve 3*k = 6*k - h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8*s - 4*y - 128 = 0, 6 = -3*y. What is the units digit of (18\/(-24))\/(1\/s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/97902 and 38\/81.\nAnswer: 293706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 402*c**4 + 474?\nAnswer: 1608*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 606708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-45708)\/(-6) - (-1)\/(-6)*6?\nAnswer: 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 115, 174, 233, 292?\n\"Answer: 59*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 5*h - 4. Let r be j(4). Suppose 2*b - 3 = z - 0*z, -4*b + 5*z + 9 = r. Solve 2 = x + b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -689356 - 10?\nAnswer: -689366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*x + 90, -136*y + 63 = 3*x - 142*y. Suppose 40 = -0*i + 4*i. Calculate the least common multiple of x and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -17. Let j be 10\/80 - l\/16. What is the second smallest value in -5, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36504 and 1912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**5 + 99*k**4 - 19*k**2 - 4?\nAnswer: -60*k**2 + 2376*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 10 = 5*r + 5, -4*j - 12 = 5*r. Suppose 24*f - 6554 + 2546 = r. What is the remainder when f is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 14*t = -357. Let o = t - 51. Suppose a + 3*b - 9 - 6 = o, -5*b - 5 = 0. Calculate the greatest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - -1.1. Let k = s - 4.2. Let w = k - -0.2052. Round w to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from {x: 5, w: 1, h: 5, o: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h - 24*h**3 + 22*h**3 - 2*h**4 - 1 - 4*h to k + w*h**3 + g*h**4 + r*h**2 + u*h and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.30039 + 1.30039. Let m = -0.04 + 2.04. What is the second smallest value in m, -38, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 7*v**2\/4.\nAnswer: v**2*(v + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*r - 211*r + 4356 = 198*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 + 2 - 2 - 5. Let i(n) = 5*n**2 + 6. Suppose 3*z + 23 = 5*y + z, -4*y + 16 = -4*z. Calculate y*i(p) + 6*u(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48462292?\nAnswer: 2, 12115573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-19)\/((-380)\/30) - (-21706)\/4)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.2855211 to 1 dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 551*i + 2812. Let j be h(-5). What is the greatest common factor of 76 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Let d(z) = z. Let y be 0\/(6*2\/6) + 3. Let n(j) = y*r(j) - 7*d(j). Let g(v) = -33*v**2. Calculate g(n(k)).\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*v = -57*v - 1482 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j\/(j*j**(2\/27))))*j\/j**(-1))\/((j\/((j**1\/j)\/j))\/j**(-3\/5)))\/((j**(-11)*j)\/j**(4\/5))**(-2) assuming j is positive.\nAnswer: j**(-2872\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1770159.1 and 9.\nAnswer: -15931431.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-10 - (-21 - -11)) + 2 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*u = 131*u + 1680. What is the remainder when u is divided by 42?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5.99 or 583917?\nAnswer: 583917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 822?\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404 (base 15) to base 12.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 20*o - 19. Calculate u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = 4*b + 43, 5*b - c + 47 = 0. Let g = 11 + b. What is the tens digit of (10*3)\/3*g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 892.3323 + -869.332296. Let j = -425 - -448. Let y = j - c. What is y rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 = -13. Suppose -k - 2*k = -12. Suppose -4*w + 20 = 0, -w - w + l = k*p. Are p and -2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 19. Solve -20 = -l*d + 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55478194 + -45.\nAnswer: 55478149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(28\/(-80)) + -3. Let h = 8 + -13. Let q = 9 + -4. Sort f, q, h.\nAnswer: h, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**15*c**(-5)\/c*c*c)**(-46)*(c**15*c**(-11))**(1\/7) assuming c is positive.\nAnswer: c**(-3860\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (9 - 9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28\/9 - 139\/36. Let k = -3 + 3. Let z = 1 + -2. Put k, z, n in ascending order.\nAnswer: z, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -378 - 7?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2317898864 to the power of 1\/2, to the nearest integer?\nAnswer: 48145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (-21 - (-14 - -13)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11050 + -2?\nAnswer: 11045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -1127.51?\nAnswer: 5637.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*q + 11. Let j = q + 39. Suppose r - 39 = j. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88863 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v - 5. Let c be w(4). Let s be (-10)\/15*(c + (-1)\/2). Which is bigger: 7\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**2 + 132878042 - 132878042.\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -631\/20 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-249)\/27 - -4) + (-4)\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -17, -21, -15, 7?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/60 and 57\/230.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 882*k**2 + 15*k - 38. Does 44 divide v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(-3 + sqrt(17) + sqrt(1377)*1 + sqrt(17)) - (-2 + 4 + (1*sqrt(34))\/sqrt(2))*-4)**2.\nAnswer: -480*sqrt(17) + 39193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 47. What is the remainder when 201 is divided by m(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from xxxtxttxxxxxxtxtxxxx?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3116 + 3115. Let z = 14 + -13.6. Let c be (2\/8)\/((-6)\/(-16)). What is the second smallest value in n, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/13 + 1489896*z**2\/13 - 2979784*z\/13.\nAnswer: -2*z*(z - 744946)*(z - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 + 2*i - 2*i - 28*i**2.\nAnswer: -43*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -332*t - 5377. Is f(-51) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(sqrt(891) - ((sqrt(891)*3 + sqrt(891))**2 - sqrt(891)))*3.\nAnswer: -648*sqrt(11) + 513216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s**2 - 156*s + 12. Let t be d(-13). Is t greater than 89\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -77, 144, 453, 850?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**5\/140 + p**4\/42 + p**3\/42 - p**2\/7 + 12*p. Solve w(m) = 0 for m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*y = -19*y - 4272 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 172 - 93 + 0*x - 79 + 299*x**3 + x to the form y + w*x + v*x**2 + u*x**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 69\/2 (b) -16\/19 (c) 0 (d) 2\/9 (e) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 10463 and 26\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 436\/(-6))*171\/76 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 68*z - 196. What is y(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 42 = -49. Let k(w) = 5*w**2 + 2. Let m be 56 - 2 - 2 - (-24)\/(-6). Suppose 5*i = m - 18. Let g(s) = -2*s**2 - 1. Give i*k(x) + y*g(x).\nAnswer: 4*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + (3*sqrt(343) + 1)**2 - -2*((3 + sqrt(343))*4 - sqrt(343) - sqrt(343))).\nAnswer: 70*sqrt(7) + 3122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/29)\/w**21)**(-44) assuming w is positive.\nAnswer: w**(26708\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24))\/(20\/1260*-21)*(-6)\/123.\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q + 16 = -c, -c - 1 = 0. Let k = 295 - 123. Let o = -170 + k. Solve o*n = -q*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b + 2. Suppose -3*x + x = 5*m - 12, 0 = -4*m. Sort b, 5, x, -5 in descending order.\nAnswer: x, 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/70, -0.2, -8, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -103. Let f(w) = 3*w + 34. Let i be f(25). Let z = i - c. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -37, -38, -39?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494523 and 133308?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 1, -5*u = 4*g - 14. Calculate the common denominator of 5 + (-609)\/30 + 7 and (u\/1)\/((-20)\/(-83)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 11*h**2 - 5*h + 5. Let f be p(6). Let c(z) = -21*z**3 + z**2 + z + 1. Let d be c(-1). Calculate the greatest common factor of d and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) 170744 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5592\/(-20))\/((-1)\/15). What is the tens digit of 4\/18 + y\/81?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*w = -7 + 6 + 1. Solve -3*s - 5*d + 28 = 0, w = -2*s + 5*s - d + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -725, -1447, -2169, -2891, -3613?\nAnswer: -4335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2299) + -2 + (sqrt(2299)*-1 + sqrt(2299))*-3 + 2*(sqrt(2299) + 0) + sqrt(2299) + (sqrt(2299) - (sqrt(2299) + -1))*4 + -3)**2.\nAnswer: 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let t be o(0). Suppose -q + 0 - 3 = t. Let z be (-1 - q - -2) + 1. Solve -i + z = 3*r, -5*r = 2*i - 3 - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/360 + 3*i**5\/40 + i**4\/4 - i**3\/6 - 3*i**2. Let f(l) be the first derivative of d(l). Is f(9) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 - (-3 + 9))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 6*y - 3. Let j be g(6). Let l be 87\/24 - j\/8. Factor 2*f**2 + f**2 + f - 4*f + 3*f**3 - 3*f**l + 0*f**2.\nAnswer: -3*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 11. Let m(b) = -2 - 5 - 1 - b - h. What is m(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 41005.\nAnswer: 18\/41005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793900619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmff when four letters picked without replacement from mdxfmtddttmmmmtfdmf.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534 is divided by 1242?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = j + 3*j + 88, 56 = 4*t + 4*j. Suppose 2*c + 12 = 5*f, -2*f - 2*c + t = 2. Suppose -f*w + 73 + 19 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -482 - -494. Let g = 4.93 - -0.07. Let j = g + r. Which is smaller: j or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -91*x**2 - 33*x - 13. Let y(w) = -31*w**2 - 10*w - 4. Determine 4*v(z) - 13*y(z).\nAnswer: 39*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*u + 15*u - 59*u)*(72*u - 72*u - 3*u**2).\nAnswer: 201*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 - 5. Let h be l(5). Let x(w) = -w + 8. Let k be x(8). Suppose -4*r + 8 = -2*o - h, k = -4*r - o + 34. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122700608*z**2 - 205192351*z.\nAnswer: -245401216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -757\/3 + 249. Find the common denominator of r and -69\/274.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 - 6 = 0. Solve 2*u - 6 = v, -3 - 9 = y*v - 4*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-22.9991\nAnswer: 13.79946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 336.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*y = 14903, -2*y = -2*s - 942 + 10894. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/120 - h**4\/12 - h**3\/3 - h**2. Let j(i) be the first derivative of r(i). Suppose 2*n = 1 + 3. What is j(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxgg when four letters picked without replacement from xzggxgzxxgxzgxzx.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 10:49 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*-2 - -1. Let x be q\/(-8) + 44\/16. Let r be x\/3 + -2 + 1. Solve -2*w + 1 + 1 = r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9054 from -0.04.\nAnswer: -9054.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in -5, -312, 0.4, -1\/4, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + r - 4. Let p be d(0). Let v(q) = q + 8. What is the least common multiple of v(-4) and ((-24)\/(-30))\/(p\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23288 - 112*s - 46569 + 23281.\nAnswer: -112*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 33 = 2*i. Let f be (-18)\/(-4)*4\/(i - -1). Let w be -31 - -30 - 7*1. Is f bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82068.27 millilitres in litres?\nAnswer: 82.06827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9 - (3 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 493357307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16396 = -1085*n + 5546 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67481411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88)*2)\/sqrt(8)*2 + 5*(sqrt(1100) + (sqrt(1100) - (1 + sqrt(1100))*1)))**2.\nAnswer: -540*sqrt(11) + 32101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2803485, 2803396, 2803305, 2803212, 2803117, 2803020?\nAnswer: 2802921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 - 4*b**3 - b**3 - 3*b**3 + 5*b**3 - 3*b**3 + (-2*b - b**2 + 2*b)*(-b - 4*b + 3*b) - 65*b**3 + 40*b**3 - 56*b**3.\nAnswer: -88*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 2260.\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 6*c**2 - 3*c - 5. Let r be y(-4). Let h = r - -31. Suppose h*m = 2 + 22. Solve 0 = 3*o + 3*g, -m*o + 5*g + 4 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/4)*(b*b\/(b*b*b*b**13))\/b*b*b**(-17)*(b\/(b*b**(-4)*b))\/b assuming b is positive.\nAnswer: b**(-111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 407 and 5.\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 3*z**2 + 3*z. Let v be w(2). Solve v*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = x - 9, -x = -3. Let p(l) = -l - 6. Let u be p(v). Let z be 4\/(-14) + (-3)\/63. Which is greater: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 23. Which is the closest to 3\/4? (a) m (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-144))\/((-1)\/28*2)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 927118 to the power of 1\/2, to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - -3 - (-4 + 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 23 = -1. List the prime factors of -1 + 2 - m\/6 - -86.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - i + 35 = 0, -14*o = -13*o + 3*i + 7. Let a be ((-2)\/(-1) - 0) + -1. Let d = 9 + a. Solve -3*u = -2*q - 6, 2*q + 3*u = o*u - d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n + 43*n**2 - 9*n - 33 + 32. What is u(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2908839 by -11589.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 15*r**2 + 1574*r + 20140. Calculate f(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23520 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.4, 0.1, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213980796?\nAnswer: 2, 3, 479, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -9\/8*x**4 - 13*x**2 + 0*x**3 - 13\/40*x**6 + 0*x + 0 + 0*x**5. Find the second derivative of c(j) wrt j.\nAnswer: -234*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208.8607 rounded to 1 dp?\nAnswer: -208.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -38080 divided by -7\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2963 - 278521\/94. What is the smallest value in -0.04, 0.1, 0, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 95*c**2 - 443*c + 649. Determine u(-90).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 34068525*-0.11\nAnswer: -3747537.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3837629856 to the nearest integer?\nAnswer: 61949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 2\/9, 0.1, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(110)\/(sqrt(640) - sqrt(640)*-2) + 5)**2 - (5*(sqrt(88) - 2*sqrt(88) - sqrt(88)))\/(sqrt(392)*-3).\nAnswer: 45*sqrt(11)\/28 + 14675\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbrbbrbrb. Give prob of picking 1 b and 2 r.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*b - 27*b = 40*b + 525 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4392*i - 30074. Determine k(7).\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 2:47 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.056147 and -995.\nAnswer: -996.056147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -26. Suppose 2*j - 44 = -p*c, -c = c - 2*j - 24. Calculate the greatest common factor of 119 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (81 + (0 - -61 - 62) + (12 - -1))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20922 divided by 6974?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -502461 (base 10) in base 8?\nAnswer: -1725275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -5 (c) 4.2 (d) 83 (e) 2\/5 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 2*w - 962 + 962.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 400619181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 1\/120*q**6 + 27*q - 4\/3*q**3 - q**2 + 0 + 1\/60*q**5 - 5\/8*q**4. Let n be l(-4). What is the nearest to -0.17 in 3\/4, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.438 and -0.11453789.\nAnswer: -0.55253789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4)\/12 - 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.483 (c) 12 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5367633.\nAnswer: 3, 19, 94169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d - 28*d**2 + 11*d**2 + 6 + 5. Let f(h) = 6*h**2 + 2*h - 4. Let m = 4927 - 4916. Determine m*f(v) + 4*g(v).\nAnswer: -2*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Add together 24465 and 5.\nAnswer: 24470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((63\/(-27))\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213644 or 213964?\nAnswer: 213644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 9*g**2 - 10*g - 11. Calculate u(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5593\/15 - -373. Let u = 69 - 67. Which is the second biggest value? (a) u (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 11*w + 27. Calculate the lowest common multiple of 7 and b(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5046, 3, 7519.\nAnswer: -5046, 3, 7519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 60*i**2 - 300*i + 500.\nAnswer: -4*(i - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3778698.61 - 0.3?\nAnswer: -3778698.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -11. Let z be 80\/(-100) + f\/20. Which is the closest to 2? (a) 4\/3 (b) 0.3 (c) 3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 23*y - 11*y - 1396345. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 38450880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from sqbsssssbbbsss?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/(-580))\/((-4)\/440)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 255564389 to the power of 1\/2, to the nearest integer?\nAnswer: 15986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13177?\nAnswer: 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9406 a factor of 2078796517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2948990 + 7030*n - 2948990)*(-3 + 2 + 3).\nAnswer: 14060*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*j - 408, -3*o + 4*j + 725 = 2*o. Let s = 961 - 917. Let c = o - s. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3334*z = -3030*z + 7296 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5288, -21186, -47694, -84812, -132540, -190878, -259826?\nAnswer: -339384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w - 4*w - 14*w + 3*w**3 + 22*w**2 - 3*w.\nAnswer: 3*w**3 + 22*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgg when three letters picked without replacement from ffbfggffffgbfgg?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i, 5*i = -0*h - 2*h + 50. Let y(c) be the first derivative of 11 + 0 + h - 31*c**3 + 5. Let r(a) = -a**2. Determine r(y(b)).\nAnswer: -8649*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8015, -19810, -31605, -43400, -55195, -66990?\n\"Answer: -11795*z + 3780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**2 + 298960*g + 3887325 = 0. Calculate g.\nAnswer: -13, 59805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.483 rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 14. What are the prime factors of y(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213664 (base 9) to base 13.\nAnswer: 45ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -abcca9 (base 13) to base 5.\nAnswer: -2014240012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 262456920 and -3.4895.\nAnswer: 262456916.5105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -2*b + 6*b + 5, -3*k - 20 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6 - 1 - 1204*c**3.\nAnswer: -1204*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*u**2 + 1 + (-2*u**2 + 3*u**2 + 0*u**2)*(-1 - 1 + 4) - 8*u**2 + 5*u**2 + 5*u**2 - u**2 + 3*u**2 - 5*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/17815 and -19\/25450?\nAnswer: 178150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/601, 81, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 213 and 35287?\nAnswer: 105861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3362103 (base 7) to base 4.\nAnswer: 1212023100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16811*h**2*k**2 - 12292*h**2*k wrt k.\nAnswer: 33622*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62640683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10 - 6*g + 8 as y + r*g and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 5*d**2 - 18 - 8*d**2 - 31.\nAnswer: -3*d**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36625 - 3?\nAnswer: 36622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -524.7412452 rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1544386*k*y**3 - 5*k*y**2 - 1351*k*y + 2*y**3 + 10*y**2 - 2*y wrt y.\nAnswer: 9266316*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725469 divided by 933?\nAnswer: 3993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.07 + 0.07. Let y be -1 - ((-3)\/(-5))\/(-1). Which is the closest to -1\/3? (a) -0.5 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 30*i**3 + 8*i**2 + 4. Let u(w) = -30*w**3 - 9*w**2 - 5. Let j(y) = 4*u(y) + 5*x(y). Find the third derivative of j(t) wrt t.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28293.\nAnswer: 3, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14904 = -101*u - 354*u - 255*u + 158*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4\/9 + 2590*g**3\/9 - 26162*g**2\/3 + 149210*g\/9 - 73312\/9 = 0?\nAnswer: 1, 29, 1264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 18*s**3 - 6*s**2 + 1. Let m(a) = -37*a**3 + 11*a**2 - 2. Give 11*b(p) + 6*m(p).\nAnswer: -24*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71386 and 13132.\nAnswer: 66960068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.473. Let z = f + 2.873. Which is the nearest to -1? (a) z (b) 15 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 1\/4*q**2 + 22 + 1\/6*q**3 - 1\/8*q**4 - 1\/2*q. Factor h(r).\nAnswer: -(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l - 1. Let r(u) = -3*u. Calculate r(q(s)).\nAnswer: -12*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - 4*d**2 + 3*d**2 - d**2 + 2*d**2 - 3*d**2 + (-3*d**2 + 5*d**2 + 0*d**2)*(-2 + 1 + 3).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 18, w: 2}. Give prob of sequence ewee.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 0*p - 2*p + 8, 4*m + p = 13. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10379*b**3 - 19366*b**2 + 8*b + 23607373.\nAnswer: -62274*b - 38732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 10462.\nAnswer: 52310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140436 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 904559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/538356 and -38\/357.\nAnswer: 538356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 2 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12 = -3*f - 4*q, -3*f = 2*q + 6. Solve f = j + 4*j + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t + 28 = 0. Suppose 2*i = -3*i - 75. Let h be (-10)\/i + (-4)\/(-3). Solve f = -3*f - h*j - 8, -4*j - t = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 212 = 760. What is the remainder when r is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 209 + -71 - (6 + 27).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5\/55)\/((-252)\/(-154))*-3\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4\/21, -2, -2\/17, 3\/8?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -98195, -98192, -98187, -98180, -98171, -98160?\n\"Answer: l**2 - 98196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = o - 5 - 18 - 0, -o + 8 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -662 - -334116?\nAnswer: 333234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-65)*9841\/23467?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0 - 2*o)*(49 + 425 + 295).\nAnswer: -1538*o - 1538","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -2 + 0 + -1. Let m(r) = -r**3 - 5*r**2 - 6*r - 6. Let s be m(-4). Is s smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 13*p - 48*p - 2*p**2 - 5*p**2.\nAnswer: -8*p**2 - 61*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 973738, 1947475, 2921214, 3894955, 4868698, 5842443, 6816190?\nAnswer: 7789939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5813\/2 or -2906?\nAnswer: -5813\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 22\/3, 2, 2\/7, 0.08, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + t**2 - 2*t + 1. Let u be y(2). Suppose 0 = -3*z - 0*z - u. Find the common denominator of 39\/7 and (-2)\/(15 - z)*-76.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26118 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1.5. Let g = -71.4 - -66. Let k = g - -3.4. Which is the closest to -1? (a) 1\/3 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*t - 23*t - 37*t)*(0 - 3 + 4) - 2*t - 3*t + 4*t + (0*t + 2*t + 0*t)*(2 + 2 - 6) + 5*t - 5*t - 2*t.\nAnswer: -160*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -4*i + 24 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7274015?\nAnswer: 5, 7, 37, 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 396187394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/355 and 12\/355.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7774753 micrometers in millimeters?\nAnswer: 0.0007774753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14309013 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o + 15 = 10*o - b, b = -6*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, and 2 h when four letters picked without replacement from {e: 3, r: 2, h: 4, m: 1, d: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 17. Find the first derivative of 5 - 8*m**2 + y*m**2 - 11*m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-1))\/(-12))\/(6\/((-126)\/1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*(4 - (-1 + -1)). Suppose 0 = 3*p - 2*t + 3*t - 56, d*p + 4*t - 72 = 0. Find the second derivative of -9*x - 52*x**5 + p*x**5 + 22*x**5 wrt x.\nAnswer: -220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**15\/(i*i\/(i\/(i\/(i**(-21)*i)))) assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 29*z - 3. Let d(m) = m**2 - 15*m + 1. Let l(k) = 7*d(k) + 4*r(k). Is l(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f + 282. Determine n(48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(9\/(-84))*(-1 + 4). Calculate the remainder when 247 is divided by ((-66)\/44)\/(1\/g).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -40*a + 1. Let w(y) = 41*y - 1. Let q(v) = -3*n(v) - 4*w(v). Let k = 105 - 106. List the prime factors of q(k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m + 13. What is j(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 16 + 408*x + 12.\nAnswer: 408*x + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 6*h + 11. Let k(g) = g**2 - g - 2. Let c(b) = i(b) + 2*k(b). Give c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2156 * -6259.5\nAnswer: 1349.5482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*u - 6, 4*z + 4*u - 90 = -6. Suppose 4*i - 16 = -v + 5, -3*v - i = -30. Let o = 1 - 1. Solve 2*c - 15 = 5*w + v, 2*w - 4*c + z = o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7626, 7594, 7540, 7464, 7366, 7246?\n\"Answer: -11*a**2 + a + 7636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-7 - (-5 + 7 - 19)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 12*f. Let n(k) = 7*k + 78. Let d be n(f). Suppose 4*u + 5*g - d = 0, u - g + 86 = 5*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1)\/(8\/40). Suppose i*u - 4*n = 16, -2*n = u + 7 + 1. Let g = 1 + -2. Put 3, u, g in decreasing order.\nAnswer: 3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510 - 54*x**3 - 510.\nAnswer: -54*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 6*u + 90. What is the smallest common multiple of 66 and v(12)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(sqrt(1377) - (-2*6*sqrt(1377))**2) + 5 + -2 + 4.\nAnswer: -45*sqrt(17) + 991449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {t: 6, w: 2, j: 1, h: 1, n: 5, i: 5}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1344)*-2 + sqrt(1344))\/(sqrt(49)\/(sqrt(7)*2)) - 5*(sqrt(243)*2)**2*3).\nAnswer: 64*sqrt(3) + 58320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*u - 3*s - 2*s, -4*s - 32 = -4*u. Suppose 0 = 4*z - u*a - 133, z - 3*a + 18 = 46. List the prime factors of z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 501, 776, 1067, 1374, 1697?\nAnswer: 2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247873, -247880, -247887?\nAnswer: -247894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*d**5 + 22*d**4*y - 80*d**2 + 2*y - 3 wrt d?\nAnswer: -3240*d**2 + 528*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 20 = -5*y - 5*v, 14 = 4*y - 3*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -15*p + 3. Let d be -3 - (1 + 4)\/(0 - p). Suppose -9*o + d*o = -21. Solve -5*x + 6*x = -o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/30 + 2*a**5\/15 + a**4\/6 - 4*a**3\/3 + 89*a**2. Solve n(u) = 0 for u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 44.7\nAnswer: -46.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*c**5 - 47707*c**4 - 2*c**3 + 2*c**2 - 11159205*c - 1?\nAnswer: 8280*c**2 - 1144968*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1054 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2544, -2549, -2554?\n\"Answer: -5*k - 2539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191704.\nAnswer: 2, 31, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((12 - 9)\/(-39))\/((-2)\/(-4)). Which is the second biggest value? (a) 0.5 (b) 0.1 (c) 5 (d) i (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 252 + -60. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 490 and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 = 6*g - 10*g + 9*u - 6*u, -1922 = 30*g - 2*u for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000227 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 37947.\nAnswer: 2\/37947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**3 + 3*u**3 + u**3 + (-3*u + 4*u + u)*(0*u**2 - u**2 - 6*u**2).\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5052.982 milliseconds to seconds.\nAnswer: 5.052982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -122f71 - -6?\nAnswer: -122f6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3 = -2*o, -67*c + 65*c = o + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t**3 + 2*t**2 - 17*t - 23. Let u(i) = -4*i**3 - i**2 + 8*i + 11. Suppose 3*q + 27 = -4*s, -12 = -4*s - 0*s. Give q*u(w) - 6*m(w).\nAnswer: -2*w**3 + w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 6*d - 4 = 7*d, -4*y + 4 = 2*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(45*(-15)\/(-375)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by 10.\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 divided by -37.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*n + 17, 13 + 27 = 4*t + 2*n. Suppose -i + 305 = -41*z + 46*z, z - 80 = -4*i. Calculate the remainder when z is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 29*d**2 - 27*d - 139. Calculate r(-14).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 768\/20 - 4\/10. Let l be 56\/(-10)*11\/(33\/(-15)). Suppose 3*m - l = x. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*d + 2*a - 1890, -5*d - 2*a = -1870. Is 47 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -15*z**4 - 7*z**2 + 17. Let v(q) = 7*q**4 + 3*q**2 - 8. Let w(c) = 3*o(c) + 7*v(c). Find the first derivative of w(f) wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (2 + 2)) + (7 - -1) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33011.\nAnswer: 11, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -61183817 divided by 1019\nAnswer: -60043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) - (-7 + (-81)\/18 + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (2 - 0) + 2. Suppose -4*d = -d - g. Find the common denominator of -17\/4 and 1 + d + (-357)\/60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -12)\/(1*-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2671595 - 2671595 - 9013*a**2)*(4 - 2*a - 4).\nAnswer: 18026*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, y: 5, s: 3, k: 7, l: 1}. Give prob of sequence zkly.\nAnswer: 35\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/5, 0.9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2257.608 and 156.\nAnswer: 2413.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2638223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 18195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - k**2 + 27*k + 23. Give h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 359484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -1\/517 (c) -9 (d) -33 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120110 - 21011112?\nAnswer: -20121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10.5 (b) 606 (c) 3 (d) 0.1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/17)*d*d*d)\/d*d*d\/d**6*d**(-2\/5)*d**(-4\/7)\/d*d)\/(d\/d**2*d\/d**10)**11 assuming d is positive.\nAnswer: d**(63612\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 1, d: 2, c: 2, g: 1}. What is prob of picking 4 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 7. Let k be b(-12). Let s = k - -10. Suppose -4*j - 5*h - 5 = -0*h, -4*h = -s*j + 45. Solve q = 1 - j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrtrtrrmrbttm. What is prob of picking 1 b and 1 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56765309 is divided by 2176?\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-55)\/15)\/(65\/(-1365)) and 4?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 10 + 7*i)*(-5 - 1 + 3) - 9*i + 29 - 29 to the form n*i + q and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10.4 times -820\nAnswer: -8528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 196465.71 months in centuries?\nAnswer: 163.721425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**3 + 20*f**2 + 30*f + 12. Let c(d) = -4*d**3 + 0*d**2 + 751*d - 8 - 4 - 782*d - 20*d**2. Let t(i) = -2*c(i) - 3*v(i). Let t(x) = 0. Calculate x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3130 - 3129.6. Let x be (-25 - -21)*2\/(-4)*-2. Put 1, k, x in decreasing order.\nAnswer: 1, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t, 44 - 8 = 3*o + 3*t. Let d = 10 - o. Put d, -4, -3\/2 in increasing order.\nAnswer: -4, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 486\/20155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25\/75)\/((-2)\/36). Calculate the common denominator of 61\/22 and g\/8*(-8010)\/(-3915).\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and -48\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.154 to one dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.65 less than 8223320016?\nAnswer: 8223319651.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(304))*4.\nAnswer: -16 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + 0*u)*(2 + 0 - 4) + (3 - 4 - 2)*(u - 9*u - u).\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -836\/9 - -3407\/36. Let v = 272 - 267. Which is the closest to -2.6? (a) v (b) r (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -239, -366, -491, -614, -735?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-75)\/35 - -5)\/((-4)\/(-14)). Suppose 0*b = -0*b + l*b. Factor 0 + b*m - 2*m**3 + 4\/7*m**2.\nAnswer: -2*m**2*(7*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231929568*o*r**2 + o*r + 892*o - 927*r - 1 wrt r.\nAnswer: 463859136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 242188*j**3 + 3*j**2 + 4*j. Let t be y(-4). What is t rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(sqrt(700)*2)**2*4.\nAnswer: -56000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/10 - 3925*p**2\/2 + 22112293*p\/10 - 6060545467\/10.\nAnswer: -(p - 541)**2*(p + 20707)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3*d + 66 - 18, -4*d = -f - 16. Is 6 a factor of -3 + (f\/(-1) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*i + 0*i + 6)*(2 + 36 + 24).\nAnswer: -124*i + 124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -676, -913, -1146, -1375, -1600, -1821?\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5\/5 - 2*k**4 - 14*k**3\/5 + 2*k**2\/5 + 16*k\/5 + 8\/5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68049 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 3*g**2 - 2*g - 1. Let w be t(-1). Suppose x = 2*x - 6. Let h(r) = r**3 - 6*r**2 - 2. Let k be h(x). Is k > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399746 divided by -1.\nAnswer: -399746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 7*z**5\/60 - 317*z**4\/36 + 199*z**3\/9 - 44*z**2\/3 + 7474*z. Find q, given that n(q) = 0.\nAnswer: 2\/7, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22155, 22154, 22153, 22152, 22151, 22150?\n\"Answer: -v + 22156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(1*sqrt(144) + sqrt(144) + sqrt(4)))\/(sqrt(3) + 1*sqrt(12) - sqrt(12)\/sqrt(4)*-3)*-1.\nAnswer: -sqrt(2)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.1 and 0.07?\nAnswer: -0.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2 + 2*o**2 - o**2 - 3*o**2 - 5*o**3. Let h(f) be the third derivative of f**6\/12 + f**5\/12 + 5*f**3\/6 - 12544*f**2. What is 2*h(v) + 5*r(v)?\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(3*(-2)\/(-4)). Let w be (z\/2)\/(2 + -4). Let s(x) be the first derivative of 3*x**2 - 3. Give s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 314, 0.058, 21, -4, 4?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s. Let x(o) = 204*o - 2. Calculate -3*b(y) + x(y).\nAnswer: 198*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 39264*f + 20204176.\nAnswer: -(f - 508)*(f + 39772)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + (-103 - -259) + -195?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9014793 to the power of 1\/2, to the nearest integer?\nAnswer: 3002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/6 - -194*(-1)\/(-3). Solve -67*b + d*b + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 790*g**2 - 790*g**2 + 81 + 10*g**3 with respect to g.\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9*r - 14*r = -4680, 2*i - 1869 = r. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2. Let m(k) = -21280*k. Calculate l(m(j)).\nAnswer: -905676800*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*x + 49. Suppose 2*p - 18 = 4*i + 2, -4*p - i = -22. Suppose -4*g - g - 2*u = -9, -p = 2*u. Solve g*m - x = -16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/5248 and -32\/7.\nAnswer: 36736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2*u**2 - 7*u**2)*(6 - 6 + 5)*(-99 + 5*u + 98 - u).\nAnswer: -200*u**3 + 50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 224547249 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 2*i - 326 = -35*f, 0 = 2*f + 4*i - 322. Calculate the remainder when f is divided by 65.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005742735 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {r: 2, o: 4, d: 8, b: 1, s: 4, n: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13760\/96*504\/35 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(7\/3)\/(t\/t**14)*t**(-15)\/t**(-4\/17) assuming t is positive.\nAnswer: t**(29\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116049, 116112, 116211, 116340, 116493, 116664, 116847?\nAnswer: 117036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3703.00049 + -3703.3. Let s = 0.298 + d. What is s rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 64*g**2 + 1433*g + 45876. What is d(-32)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(-2 + sqrt(704)) + -1*(-1 + sqrt(704)) + 5)**2 + -5.\nAnswer: -6240*sqrt(11) + 119871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*k**6 + 137*k**3 - 96506*k**2?\nAnswer: 12960*k**3 + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1 + 3 + sqrt(1088) + sqrt(1088)*-2 + 2)*2)**2.\nAnswer: -128*sqrt(17) + 4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + w - 7*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/93 and 22\/1525?\nAnswer: 141825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = u - 9, u - 24*v + 19*v = 29 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2803 - 2796. Solve 6*v = -43 + o for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115986 divided by 1\nAnswer: -115986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -69*q - 1768. Give g(-26).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14786, 1, 258\/19?\nAnswer: 258\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*w - 239*w + 63 = 3*b, -7*b + 127 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -6\/943.\nAnswer: -1, -6\/943, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*((sqrt(252) + 0)*3 + 1 + sqrt(252) + 5))**2.\nAnswer: 288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwywgtw. Give prob of sequence wyky.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**46*f)\/f*f)**(7\/5)*f**6*f**(1\/63) assuming f is positive.\nAnswer: f**(22622\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + -8.3. Let l = j + 10. Put -2\/5, l, -0.08 in ascending order.\nAnswer: -2\/5, -0.08, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -548016*y**2 + 61163?\nAnswer: -1096032*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 7*d + 19. Let l be (0 - 2)*(-2 - d). What is the highest common divisor of 46 and l?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -976 divided by 90?\nAnswer: -488\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 305\/26 less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3419 = 9*o - 955. Calculate the highest common divisor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let v(s) = s - 9. Calculate the remainder when m is divided by v(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - x + 9 = 0, -2*o + 18 = o + 4*x. What is the remainder when o*17 + (-13 - -16) is divided by (2 - 1) + (-12)\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 14. Suppose -4 + c = 3*x. Solve x*y + 3 = -5*r - 3, 2*y - 4*r = 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -n + 576, -2*p - 37 - 175 = -5*n. Let d = -63 - p. Suppose 6*i - d - 7 = 0. What is the highest common factor of i and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 157, 518, 1471, 3304, 6305, 10762, 16963, 25196?\n\"Answer: 48*p**3 + 8*p**2 + p + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7498553l to millilitres.\nAnswer: 749.8553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*y - 3*k, 5*k - 3 = 14*y - 18*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 27. Let o(j) = 6*j**2 - 4*j - 2. Let m(r) = -5*r**2 + 3*r + 2. Let i(s) = 3*m(s) + 2*o(s). Let n(h) = -16*h**2 + 6*h + 11. What is y*i(l) - 2*n(l)?\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/1425*(-3)\/7?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13\/5, 3, 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**3 - 3*s**3 - s**3 + s - s**3 - s + s + (2*s**2 + 2*s**3 - 2*s**2)*(-2 + 0 - 4).\nAnswer: -11*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:23 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 103? (a) -1\/23 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/551, -4, 2\/35, -10.9.\nAnswer: -10.9, -4, -2\/551, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert 11100000110000 (base 2) to base 13.\nAnswer: 6716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-4))\/((l**(-6\/7)*l)\/l*l)*(l**(-2\/33)\/l)**(1\/23))**(-1\/8) assuming l is positive.\nAnswer: l**(5815\/21252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 74751 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkkirakaikarkhk. What is prob of sequence rkin?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from xrryrbxnbbynyrrxxryn?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (10\/675*-3)\/((-2)\/20)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**5\/5 - 19*r**2\/2 - 15. What is the second derivative of g(u) wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 2\/23 - (-58497)\/2553.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {v: 5, u: 3, m: 6, w: 2, s: 2, f: 1}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.84 - 19.8. Let k = y + -18.0401522. Round k to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbzlnzbbznlxnllb. Give prob of sequence llbl.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2 - 2)*(-3 - 2*w + 3) + 3*w**2 - 4*w**2 + 3*w**2 + (4 - 5 - 1)*(-4*w**2 + 0*w**2 + 5*w**2) - 7*w**2 + 3*w**2 + 2*w**2 + 2*w**2 - 5*w**2 + w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(420))\/sqrt(12))\/(sqrt(5) - sqrt(20)*-3).\nAnswer: -2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/18 and 131\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4533 = -18*k + 5127. What is the remainder when 43 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*w - 8, 4*b + b + 10 = -5*w. Suppose b = 2*l + 5*v + 20, -v - 8 = 3*l + v. Suppose l = 3*g - g - 36. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5766ae (base 15) in base 7?\nAnswer: -50320136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 687377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2 = -3*z, -2*z - 4*j = -5*z + 14. Suppose z*s = -1 + 3. Which is the closest to s? (a) -0.5 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:14 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -148?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -441aa24 - -3?\nAnswer: -441aa21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1182*h**4 + 19*h**3 - 3*h**2 + 651404 wrt h?\nAnswer: 4728*h**3 + 57*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, -0.41, -2, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n - 62*n + 25*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4 - 2*f + 6 + 5*f - f**2. Let h be t(5). Suppose h = -2*j - j + 4*y + 91, 0 = -3*y - 12. Calculate the highest common divisor of j and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46632867 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 15*m**5 + 470*m**4 + 1255*m**3 - 4140*m**2 - 2140*m + 2800 = 0.\nAnswer: -28, -5, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/6, 2\/3, -0.5, -10\/13, -0.0345, 3\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 47892141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 = -4*a. Let n(x) = -2*x**2 + 8*x - 7. Let t be n(a). Let c = t + 36. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.51 rounded to one decimal place?\nAnswer: -38.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32949761 a multiple of 809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-15))\/((-71)\/(-4970)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3064021?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t + 2*t + 3*t - 2*t + t + 2*t + (0*t + 4*t - 2*t)*(-1 + 1 + 2) - 5*t + 3*t + 4*t)*(0*t**3 - 3*t**3 + 2*t**3) + 1972 - 1972 + 64*t**4.\nAnswer: 59*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 189 = -16*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -45*h - 190. Let w(s) = -14*s - 59. Let a(g) = 29*w(g) - 9*x(g). Let d be 4\/(-6) - 16\/3. Let k(r) = -5*r - 9. Calculate d*a(i) + k(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1)**(3\/53)*(c*((c*c**(-1)*c)\/c)\/c)**(-45) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f*f**4)*f)**29\/(f*f*f**(-1\/10)*f*f*f*f*f**(-3\/14)*f) assuming f is positive.\nAnswer: f**(-1249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**3\/3 - 13*y**2 + 92*y + 69. What is the derivative of k(d) wrt d?\nAnswer: 4*d - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 5:32 AM?\nAnswer: 579","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 8*y**2 + 128*y + 1798. Determine f(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/29, -3\/13, -1\/3?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 136, 184, 282, 448, 700, 1056, 1534?\nAnswer: 2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 65*f + 109. Is g(-22) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3007 + 299 = -58*k for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 173\/(9169\/(-636)) + (1176\/10)\/7?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*118\/(-1475)*170\/8.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/32, 2, -1695, -22 in ascending order.\nAnswer: -1695, -22, 1\/32, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**18*(x\/(x\/x**(-1\/15)))\/x*(x*x*x\/(x*(x**(-13)\/x)\/x))\/(x*(x*x*((x\/x**(-1\/3))\/x*x)\/x)\/x) assuming x is positive.\nAnswer: x**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - sqrt(78)*-1*-4 - sqrt(78))\/sqrt(6) + 1.\nAnswer: -4*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 99197742.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5186207 and 1612?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 50093\nAnswer: -100186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d = 6*d. Solve d = -5*k + 3*v + 22 - 2, -k = 4*v + 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.509371 minus -0.4?\nAnswer: 0.909371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13755836.8 rounded to the nearest 1000?\nAnswer: 13756000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 173 = 31. Suppose 3*z = 5*o - s, -4*o - 5*z + 54 = -6*z. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029654 rounded to five dps?\nAnswer: -0.00297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.4 + 0.37.\nAnswer: 6.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -589.99359 - -590. What is m rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-12) + (-927)\/(-12). Let r = 38 + q. Suppose -5*g + r = -10. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 1069180?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14586659 is divided by 2332.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111011 (base 2) to base 6.\nAnswer: -1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, n: 3, d: 6}. What is prob of picking 1 d and 1 c?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 15 = 3*z, 302070 - 302067 = -4*v + 9*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 9, 7\/12, 15, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173169028 to the power of 1\/3, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 107*s**2 + 9396*s - 218. Calculate c(-88).\nAnswer: 1542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 41. Let m = -1045.9 - -1046. Put r, -0.19, m in decreasing order.\nAnswer: r, m, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*4 + sqrt(832))**2 - (3 + sqrt(13)*3).\nAnswer: -3*sqrt(13) + 20797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.59 plus -23.536?\nAnswer: -25.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/(-9))\/(-7 - 763636\/(-109092))*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 1068, 1620, 2172, 2724?\nAnswer: 3276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2 - 111771284*i + 111771282 = 0.\nAnswer: 1, 55885641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, v: 3, n: 2}. Give prob of sequence vn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (7 + 12 + 3 + -8) - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6585 and 7020927.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + w = l - 119, -2*l - w + 125 = 0. What is the remainder when l is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*n + 2*n - 9, -4*r + 3 = -n. Calculate the least common multiple of 48 and -4*r*12\/(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {u: 1, n: 7, t: 6, k: 4}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11919 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ca - -5e?\nAnswer: -16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-10))\/(44\/(-220)). Let d = f + -5. What is the remainder when 17 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-4))\/3)\/((16289\/104)\/(-179))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/(-12) - (-2)\/(-8). What is z in -2\/3*z**u + 0 + 2\/3*z**3 - 4\/3*z = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 225\/7 in 23, -3, 3, -0.3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -14\/15*t**3 - 1\/15*t**6 + 1\/10*t**4 + 6\/25*t**5 + 8\/5*t + 0*t**2 + 30. Find y such that c(y) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 18 = -11*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.54\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*h + 95 = 0, 2*h + 69 = 4*y - 15. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130134323 (base 6) in base 12?\nAnswer: a213a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*o**2 - 7981*k**3*o + 2*k**3 - 18*k**2*o**2 + 20*k**2*o + 4*k**2 + 1201722*o**2 + 5*o + 4 wrt o.\nAnswer: 4*k**3 - 36*k**2 + 2403444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*p - 3*f - 1, -3*p = -4*f + 4. Suppose -5*l - 5*l + 70 = p. What is the third derivative of l*x**3 + 5*x**2 - 4*x**2 - x**6 - 7*x**3 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, v: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 1715.\nAnswer: 11\/1715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 22, 49, 88, 139, 202?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -336845728\/2165 - -18433426151191\/118494780. Let c = 2\/13683 - m. Calculate the common denominator of 33\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkvvvknkvk. Give prob of picking 3 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88.7 + 89. Let z = -1\/293 + -577\/2637. Let v = -0.06 - 4.94. Which is the second biggest value? (a) v (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15312\/9768*222\/36?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:48 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 63*p - 1131. Let b be f(18). Solve 5*y - 43 = b*k - 38, y + 4*k - 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3916?\nAnswer: 1\/3916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 5)*103\/(-2). Let w = r - -180. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-686)\/98)\/((-378)\/4).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36814550, -147258180, -331330896, -589032698?\n\"Answer: -36814543*j**2 - j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -42a870?\nAnswer: -42a873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 11*r**2 + 4*r - 65. Calculate q(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*r + 117*r + 43*r**2 + 109*r - 45*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from ggsswllwggsgggggxggg?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, -106, -298, -556, -874?\n\"Answer: x**3 - 42*x**2 - x + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/11 - 148*b\/11 + 608\/11.\nAnswer: -(b - 4)*(b + 152)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-7 - (-722758)\/14) + (4 - 256\/56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 476, 1145, 2122, 3419, 5048, 7021?\nAnswer: 9350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p - 4*p - 2 - 2*p. Let b = -10 - -8. Determine n(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 20*v**5\/3 + 40108*v**4\/3 + 31736*v**3 - 624216*v**2 + 1441836*v - 648972 = 0?\nAnswer: -2003, -9, 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:58 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 3*m**3 - 4*m**3)*(-3 + 3 + 4)*(-1 + 1 + 1).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -340*b**2 - 350*b**2 - 5*b**3 + 689*b**2 - 11*b as q*b + u + w*b**3 + t*b**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/((-4)\/(-40)*-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273135 + -8293.\nAnswer: -281428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(14)*-2)\/sqrt(2)*6 - (-5 + sqrt(7) + 1 + sqrt(847)*-2))**2.\nAnswer: -18*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 15. Let w(v) = v**3 - 4*v**2 + 2*v. Let j be w(x). Does 8 divide 13 - (0 + j\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 61*x = -63*x - 89, -4*x - 16 = 0. Suppose -15 = -5*c - 4*b, -2*b + 24 = 2*c - 4*b. Calculate the lowest common multiple of c and i.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**5\/10 - d**4\/2 - d**3\/2 + d**2 + 2*d + 81. Factor z(i).\nAnswer: -(i - 1)*(i + 1)*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**2 - 163*q - 1824 wrt q.\nAnswer: -4*q - 163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p + 17*p - 32*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)\/f**(-5)*(f*f**(-1\/4))**(-11\/6)*((f\/(f*f\/f**(2\/19)))\/f**(-2\/19))**48 assuming f is positive.\nAnswer: f**(-5817\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*a = -177*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/31)*j*j*j**12*((j**(-18)\/j)\/j)\/j**(2\/3))**(2\/49) assuming j is positive.\nAnswer: j**(-1042\/4557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (13 + 3 + -29)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 80122, 160159, 240196, 320233?\n\"Answer: 80037*m + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*x = -208*x + 104 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1911 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/11 and (-4)\/((-6)\/(-21) - 438\/14)?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17267 divided by 31\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 6*z + 5 - 5 + z**2 in the form y*z**2 + r*z + p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7501049 meters in kilometers?\nAnswer: 0.0007501049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 325058936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 2839?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2 - 4. Let z(j) = -7*j**2 + 11*j + 15. Let b(d) = 2*d**2 - 4*d - 5. Let w(o) = 11*b(o) + 4*z(o). What is -5*n(x) - 4*w(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n\/(n*n**45)*n)))\/n**(5\/2)*n**(1\/22)*n\/n**17 assuming n is positive.\nAnswer: n**(-676\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 120. Is 28 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from 14616455924.\nAnswer: 14616455933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-195*l + 195*l + 42*l**3)*(l + 2*l - 5*l).\nAnswer: -84*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 453*z**3 - 10*z**2 - 10*z. Let n be k(-1). Let i be n\/(-24) + 26\/208. Put i, -1, -4 in decreasing order.\nAnswer: i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:35 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9864289?\nAnswer: 1901, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 16*t + 17. Let u be m(13). Calculate the greatest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 29. Let w = 10.4 - y. Let m = 29\/156 - 1\/52. Which is the second biggest value? (a) w (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108870)\/3021 - (-6)\/159 - (-3*1 + 1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 248*b + 1221. What is the smallest common multiple of 1572 and m(3)?\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000065310056 rounded to seven decimal places?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -12. Let a be 96\/20 + (-1)\/d. Suppose 5*v - z = 15, a*v - 21 = v - z. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 78, -5, 0, -2 in decreasing order.\nAnswer: 78, 17, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1659 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 284.56668+-0.178102\nAnswer: 284.388578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 38152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 + 157. Let n = -4.5 + 0.5. Suppose 0 = 3*j - 5*j + 6. What is the nearest to -2\/7 in j, n, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)\/g)\/(((g*g\/(g*g**(-19)*g))\/g)\/g))**(-19) assuming g is positive.\nAnswer: g**(1064\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54959, -55155, -55677, -56687, -58347, -60819, -64265?\n\"Answer: -27*v**3 - v**2 - 4*v - 54927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*t + 5*f + 14, 3 = f. Let z = -6 - -4. Let k be 3*(-1 - z)\/1. Solve c + k*b - 17 = t, -b = -c - 0 - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 89. Let x(j) = -4*j + 176. Give -11*f(k) + 6*x(k).\nAnswer: -2*k + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42649461.\nAnswer: 3, 929, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**3 + 7*i**2 + 13*i - 38. Let u be f(-6). Suppose -3*y + 5*c = 2*c - 573, 4*y = -c + u. Is y a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1)*(-600 + 55) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 7*q - 7*q**3 - 5*q - 3*q - 1 to the form b*q + t*q**3 + r*q**2 + i and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s + 95. Suppose -4*f + 107 = s. Let b = f + -1. Calculate the greatest common divisor of 105 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 18*z**2 - 21*z - 38. Let b be s(-19). Factor -2\/11 + b*d + 2\/11*d**2.\nAnswer: 2*(d - 1)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 + (15 - 3) + 26 + -12 + -23 + -5\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52501*p + 18835*p + 15336*p - 19020*p.\nAnswer: 67652*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -5*z - 444 + 378, 0 = 2*n + 4*z + 44 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1450 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 645784 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 5. Let c(s) = -3*s - 9. Let v(m) = -3*c(m) - 5*x(m). Let t be (1\/3)\/(1\/3). Give v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -18*r + 20. Suppose 21 = -3*f + 3*a, -6*a + 1 = -f - r*a. Let k = 1 - f. What is the smallest common multiple of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*6\/4. Let j = 0.16 + 0.24. Which is the nearest to 1? (a) 0.5 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 8*w - 10. Let s = 36 - 31. Let d be k(s). Is (3 + -2)\/(d\/7405) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156329445 rounded to 5 dps?\nAnswer: -0.15633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15451 + 15457. Solve -5*l = -11*g + 6*g - 45, 4*l - q = -g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1\/42)\/u))\/(u*u**(2\/17)\/u)*u**(1\/3)\/(u*u*u**(2\/3)))**(-2\/19) assuming u is positive.\nAnswer: u**(305\/6783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 30*k - 8*k**2 - 20*k**3 - 14*k**3 + 35*k**3 - 1 - 10. List the prime factors of p(10).\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1380\/(-36)*(1 + 2). Let z = g + 971\/9. What is the common denominator of z and -55\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*r + 36, 5*h = 4*h - 3*r - 6. Let u = -1035 + 1039. Solve h*g - u*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9343 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 - 114*i**3 - 244*i**2 = 0 for i.\nAnswer: -2, 0, 61\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 157677*v**2 + 2. Let w(t) = 37*t. What is p(w(j))?\nAnswer: 215859813*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4167967605 to five decimal places.\nAnswer: 1.4168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 33*z - 23*z + 8. Solve -666 = z*u - 658 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**2 + 3*r**2)*(-1891*r - 1566*r + 2654*r + (-3*r + 4*r + 0*r)*(-3 + 2 + 2)).\nAnswer: -802*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127160, 127168, 127182, 127202, 127228?\nAnswer: 127260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -2*z - 19. Suppose 3*a + 4 = 1. Put 0, a, z in descending order.\nAnswer: z, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 376337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3731 - -33577\/9. What is the closest to -0.2 in p, -3, -21, -22?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260070020 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01414505523 to five decimal places.\nAnswer: 0.01415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 25*r - 25. Is u(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*c + 0*c**2 - 644*c + 17*c**2.\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 12, 10, 8, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 7*r + 3*r + 136 = 0, -3*z + 98 = 5*r. Suppose 3*g + z = 15*g. Solve 12 = -4*v - 3*n, -g*n - 6 - 6 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(117))**2 + 2.\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(14\/2) + -1. Let o(k) be the first derivative of 0*k**3 + b*k**2 + 3*k + 3\/2*k**4 + 1. What is the derivative of o(l) wrt l?\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12339*i + 12671*i = -10292 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -31.29. Let u = 0.39 - l. What is the second smallest value in 9\/5, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*n**3 + 3*n**2 - 2 - 3*n**2 to the form f*n + j + u*n**2 + b*n**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaa. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -7*o + 34. Let c(p) = o + 15 - 24 + 17*p. Let d(z) be the first derivative of -z**3 - 6. What is c(d(f))?\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q**2 + q**2 - 4 + 0*q**2 + 4*q**2 to the form u + g*q**2 + k*q and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 473.\nAnswer: 3\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -384 - -164. Let l = 220.1 + u. Is l less than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -20*d + 5. Let q be y(-1). Let v(z) = -z**2 - q + 7 + 8 - 7*z + 5. Determine v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**2 + 7*x + 15. Let o be b(0). Let d be -2*(-10)\/(-16)*-4. Calculate the highest common divisor of d and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -g + 14. Let z be ((-1)\/(-3))\/(g\/(-60)). Solve 0*k = z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*x + 1 = -x, -4*x = n - 4. Suppose -3*i = -n*i. Is (-1 - 0) + (210 - i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*p + 2*d**3 - 8*d**2*p + 233*d*p wrt d.\nAnswer: -6*d*p + 12*d - 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5, -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 761007 and 42028.\nAnswer: 21308196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*w + 2592 = -2*w, 0 = 3*s - w - 1555. Suppose 0 = 20*z - 16*z - 5*c + 1450, -9*z - 3171 = 4*c. Let q = s + z. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*(-40)\/792*-6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z + 8 = 55*z. Suppose -z*k - k = -480. What is the highest common factor of k and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) -38.65 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g - 32. Let z(a) = -3*a + 48. Let s(d) = 3*o(d) + 2*z(d). Let h(b) = 411*b**2. What is h(s(f))?\nAnswer: 3699*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20944 + 816 = 680*j for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y = -21*y + 2*a - 2, 2*a + 8 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*n + 313 + 1815. Solve 5*c + n = 5*f - 12, c + 12 = 3*f for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let t be q(-8). Let d be ((-6)\/t)\/((-63)\/(-14)). Suppose 0 = -y, -p - 3*y + 4 = -3*p. Which is the closest to p? (a) 3 (b) 1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07 and 72.88.\nAnswer: 72.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62492 - 40413. Is 45 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 12*t - 18. Let w be s(-10). Factor -3*u - 11*u**3 + 30*u**3 - 16*u**3 - 3*u**2 + 6*u**4 - 3*u**w.\nAnswer: 3*u*(u - 1)*(u + 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -9. Let m = -1 - k. Put -3, -0.1, m in decreasing order.\nAnswer: m, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(637) + -1 + 5 - sqrt(637)) + sqrt(637) + 3 + -5*sqrt(637) + sqrt(637) + -4 + -4)*-6)**2.\nAnswer: -28728*sqrt(13) + 219384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.1 (b) 0.95 (c) 1\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/306*(23\/(-161))\/(4\/582) and -89\/186?\nAnswer: 6324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4406 and 68?\nAnswer: 149804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 7 = 3*p, 3*h - 4 = 4*p - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -349, -1208, -2869, -5596, -9653, -15304?\n\"Answer: -44*f**3 - 5*f**2 + 2*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-30132)\/(-22896))\/279)\/(((-2)\/12)\/((-4)\/9))\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1749929 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 414300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.2485199 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216926 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8109904 millimeters in kilometers?\nAnswer: 0.0000008109904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:54 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/9 (b) -5 (c) 18\/13 (d) 46 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + 0?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140724 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + -4 + 1*sqrt(2)).\nAnswer: -8 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/3 - 1)\/((-34)\/(-18)). Let d(w) = -w**2 + 10*w - 8. Let y be d(9). Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1387, -1408, -1427, -1444, -1459, -1472, -1483?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 17, c: 2}. Give prob of picking 2 c and 2 y.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1296) + (sqrt(1296) + -6*sqrt(1296) - sqrt(1296)))\/(sqrt(8) - (sqrt(8) + sqrt(8) + -6*6*sqrt(8))) + 5.\nAnswer: -9*sqrt(2)\/7 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10552, 2\/3, 0 in ascending order.\nAnswer: 0, 2\/3, 10552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 28*b - 102. Determine x(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 31, 37, 27, -5, -65?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t - 77. Suppose 84 = -6*u - 0*f - 2*f, 5*u = -5*f - 80. Determine v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + -76. Suppose 2*y - 4*y = -x, -s - 4*y + 81 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 1, p: 1, z: 1, m: 2, f: 1}. What is prob of sequence fz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, f: 4, k: 3, n: 5, c: 1, x: 1}. Give prob of picking 2 n and 1 f.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -4, 2\/3.\nAnswer: -33, -4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 597520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22743 and -1.5.\nAnswer: 34114.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/80*9\/(-756)*-660*2\/(-8).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*v + 80, 3*x + v = 3*v - 100. What is the tens digit of (x\/(-7))\/(19\/133)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -12. Let o(k) = 4*k**2 - 6*k - 6. Let l(p) = -11 - 10*p - 3*p + 2*p + 7*p**2. Determine v*o(s) - 6*l(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -6, -3, 1 in increasing order.\nAnswer: -6, -3, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 6 = m + 12, 0 = 9*a - 5*m - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x. Let t be ((10*-1)\/(-5))\/(-2). Let j(y) = 1. Let u(c) = -7*c**2 - 5. Let w(n) = t*u(n) - 5*j(n). What is l(w(f))?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -2?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x + 23 - 23.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*q - 15, 3*s + 6 = s. Let m(w) = w**3 - 5*w**2 - 3*w - 13. Let v be m(q). Solve 4*a = p - v*p + 20, 0 = -p + a - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -48*0.01\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76705, 76702, 76699, 76696, 76693?\nAnswer: 76690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 40. Let q be n(-12). Let l be (-3)\/(-2) - q\/8. Suppose l*i = 13*i + 245. What is i rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12110012 (base 3) to base 13\nAnswer: -1a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = b - 5*j + 5, b - 3*j - 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 0*l - 8*l + 6*l + l**2 as r*l + p + d*l**2 + b*l**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 2, c: 4}. What is prob of picking 1 c, 1 t, and 2 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3354*k = 3321*k + 1112364. Is 159 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4238937283 to the power of 1\/2, to the nearest integer?\nAnswer: 65107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*c + 3275 - 29993 = 13442 for c.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12822674.\nAnswer: 2, 6411337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 80. Calculate the smallest common multiple of s and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18767 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 15 = 3*t. Let w = 15 + -11. Is w less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 4*x = -18*k - 18, -5*x = 4*k - 83. Calculate the smallest common multiple of 48 and (k\/2)\/(1\/4).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 137889562.\nAnswer: 1\/137889562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*o + 334*o - 209*o in the form r + j*o and give j.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 15. Let d be c(-6). Suppose 5*p + d - 12 = 0. What is the second smallest value in 0.1, p, 0.07, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 11:12 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26421041, -52842080, -79263119, -105684158, -132105197?\nAnswer: -158526236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzffffzzffliz. Give prob of sequence fl.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 8. Let w be u(-4). Let p(x) = -x**3 - 5*x**2 - 7*x - 6. Determine p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166 and 80510.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 6. Let y be (-16)\/(-40) - 22\/5. Determine h(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - -5*(sqrt(88) + 1*sqrt(88))) + sqrt(88))\/(sqrt(77)\/(sqrt(7)*-2) + sqrt(11)))\/(2*sqrt(28)\/sqrt(7) + sqrt(4) + sqrt(196)*-1)*-5.\nAnswer: 65*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552612 is divided by 285.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1 - 11*p + 42*p - 66*p - 5. Give l(2).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:54 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5313*s**4 + 8724 with respect to s.\nAnswer: 21252*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*o + 3*o + 2*o)*((-3*o**2 + 5*o**2 - o**2)*(2*o + o - 4*o) - 6*o**2 + 4*o**2 - 6*o**2 - 2*o**3).\nAnswer: -57*o**4 - 152*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d**3 + 7*d**2 - 6*d. Let n(b) = b**3 + b. Let r(z) = 6*n(z) + w(z). What is the third derivative of r(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 864 = -2*h, -5*h = -0*w + 3*w - 2593. What are the prime factors of w?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 8, 1395, -5\/4, -3, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:22 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3871d (base 15) to base 8.\nAnswer: 540376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 4. Let j be r(-4). Let z be -1*(1 - 1 - j). Is -3\/7 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 - 17*n - 19. Determine v(6).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r + 48. What is the remainder when r is divided by (-3 - -29)*(-2)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(30)\/(sqrt(12)\/sqrt(2))) - 3*(sqrt(1216) + (sqrt(1216) + 1 + sqrt(1216) + sqrt(1216))**2).\nAnswer: -32835 - 167*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.21 + 0.19. Which is the nearest to 1? (a) 0.5 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804371.\nAnswer: 804371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352 by -4.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 - (-6 + 10 + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1528, 6264, 14164, 25234, 39480?\nAnswer: 56908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 4. Let p(c) = -2*c**2 - c + 9. Let q be 2*(3\/(-6) + 3). Let y(h) = q*z(h) + 2*p(h). Is y(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(220))\/(((sqrt(66) + sqrt(66)*-2 - sqrt(66))*5)\/sqrt(6))*6.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7322700 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-56) + 2\/(8\/6). Solve -3*g - n*g - 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 48 = 2*j. Let l = -85 + 131. Calculate the remainder when l is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 1, h: 7}. What is prob of picking 1 n and 1 h?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 148, 1017, 3412, 8101, 15852, 27433, 43612, 65157?\n\"Answer: 128*h**3 - 5*h**2 - 12*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(-10) - (-8)\/80. Suppose 5*j - 118 = -g*q, -77 = -3*j + 8*q - 3*q. What is the least common multiple of (1 + -11)*(-1)\/1 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -702*l - 2792. What is d(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6612 and -127\/3324.\nAnswer: 1831524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 301\/43*(-4)\/28*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 34 - 70)*(3 - 3 + 2)*(4*o - 8*o - 2*o).\nAnswer: 180*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*v - 42 = 0, 4*p - 3*p + 4*v = 0. Determine b, given that 32 - p + 1147*b**5 + 386*b + 3456*b**4 - 62*b + 68*b**5 + 3543*b**3 + 1602*b**2 = 0.\nAnswer: -1, -2\/5, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 0*s**2 + 0*s**2)*(0 + 1 - 3) + (7*s**2 - 6*s**2 + 10*s**2)*(2*s**2 - s**2 + 3*s**2).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38 + (-13 - 10) + 7\/(-1). What is the highest common factor of k and 392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9525860, -19051724, -28577588?\n\"Answer: -9525864*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782444946.\nAnswer: 2, 3, 7, 631, 20389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -280*n**3 - 10*n**2 + 9*n + 2. What is y(1)?\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7341 and 66069.\nAnswer: 66069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1514190 and 2550.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/16*(-160)\/(-15). Let s be -4 - 144\/(-10) - l. Find b such that -s*b**2 + 4\/5*b**3 - 4\/5 + 12\/5*b = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let p be 10\/15*(-30)\/(-4). Let j(z) = z - 7*z + 0*z + p*z. What is r(j(g))?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*44\/6*3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157015 + 195994 = 3006*w + 46887 + 11534 for w.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -11*r + 5*v, 2*r - 5 = 2*v + 9. Sort 5, 4, r, 280 in increasing order.\nAnswer: r, 4, 5, 280","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 97*g**6\/12 + 6*g**5 - g**4\/24 - g**3\/3 + 21*g**2 + g + 2. What is the third derivative of d(p) wrt p?\nAnswer: 5820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 + 75*b + 81. What is the least common multiple of n(26) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516 - 3474 = -6*k. Let v = 497 - k. Calculate the lowest common multiple of 2 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62\/119 - 4\/17. What is the third smallest value in 4, -0.4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21\/1825049 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 125. Let s = -76 + i. Sort 1\/4, s, 6 in descending order.\nAnswer: 6, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58406 divided by -58\nAnswer: -1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1384554416, -1384554417, -1384554418, -1384554419, -1384554420?\n\"Answer: -r - 1384554415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*v - 324 = 791*v - 393 - 1443 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 5*x**8\/168 + x**5\/10 + 9*x**2. What is the third derivative of b(u) wrt u?\nAnswer: 600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1056 and 1419.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3924, 4006, 4088?\n\"Answer: 82*i + 3842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5\/3, 507, 2\/3047.\nAnswer: 2\/3047, 5\/3, 8, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68200496 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4 = -7*w. Let j(p) be the first derivative of -1 - 3 + p**2 - 6*p**2 + w. Let r(a) = -2*a. Give j(r(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 256870 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24698 - 4*d**2 - 24698 - d - d + 2*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 6\/(-120)*-8*(3 + 297)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 + ((-92)\/(-6))\/((-828)\/1242)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 154596\/5 or 30919?\nAnswer: 154596\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16185 (base 9) in base 2?\nAnswer: -10101101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -213, -383, -595?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.04 and -482 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:59 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 54. Let r(p) = 8*p - 113. Let o(y) = -5*g(y) - 3*r(y). Let z be o(16). What is the fourth smallest value in 0, z, 2\/9, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**2 + 55*s + 5. Let j be i(-5). Suppose 5*n + j = -15. Let z = -16 - -18. Sort -5, z, 3, n in increasing order.\nAnswer: -5, n, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -31*j**2 + 1738*j + 101. Determine t(56).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 638*l + 7630. Calculate x(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59487?\nAnswer: 3, 79, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = -2*n - 3*q + 55, 3*q + 12 = 0. Let b = n - -57. Let s = 3 - 4. Put b, s, -8 in descending order.\nAnswer: s, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3487 * 3\nAnswer: -10461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-7 + (7 - 5))) + -12 - 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 6*j**2 + j + 6. Let f be g(-6). Suppose -4*d + 3*d + 18 = 0. Suppose 3*h - d = -f*h. Solve i = 5 - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, a: 9}. What is prob of sequence aaaa?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 11*g + 64. Let z be ((g\/6)\/8)\/(2\/3). Solve -2*d + 14 = 5*k, -z*d - 10 = -4*k + 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f + 3. Let l be 0 + -3 + 2 - 4. Let m be p(l). Let c = m - -95\/3. What is the nearest to c in 0, 0.5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.95 + -43.94995383. What is r rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.279 + -27.779. Suppose 2*p = -0*p + 10. Which is the nearest to 1? (a) p (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 861704296 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-590)\/1475)\/(((-220)\/(-12))\/11)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 438015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 w when three letters picked without replacement from kjwmkjss.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244 + -134. Is c a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2080\/1773861 or 0?\nAnswer: -2080\/1773861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 93 = 39. Let u be ((-122)\/(-183))\/((8\/z)\/2). Let p be 6\/8*(-1)\/(-3). What is the nearest to p in -8, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**3\/6 + 4*a**2 + 15*a. Let j be o(9). Solve -3*y - 4*s = 2*y - j, 2*y - s = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (-4)\/((-16)\/(-4)). Suppose 0 = -t - w - 35. Let s = 43 + t. Solve 5*a = -2 - s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1230983.24 and -7?\nAnswer: 8616882.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 51*n**4 + 21*n**4 + 12*n**3 + 98*n**2 + 28*n**4 - 10*n**3 as c*n**3 + v + a*n + y*n**2 + q*n**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56306 or -2?\nAnswer: 56306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575 = -4*i - d + 568, -2*d = -4*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -45. Suppose x - 4*v - 2 = 0, -v = -2*x - 5*v + 4. Suppose -x*t = -4*t + 72. Calculate the remainder when t is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*k**2 + 97 - 31 - 36 - 35 - 114*k**2 as l + x*k + m*k**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13086 - -13097. Solve -5*r - 21 = -9*b + n*b, -15 = r + 4*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 187.74 or 138?\nAnswer: 187.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 5*s + 45, 4*j - 11557*s + 11554*s + 49 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 + 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1527536 is divided by 33943?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06621 - 0.93379. What is the nearest to -2\/7 in 0.6, -16\/37, g?\nAnswer: -16\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + sqrt(700) + -5 + 5)**2 + (2*sqrt(504))\/((sqrt(8) + sqrt(8)*1)*-1).\nAnswer: -23*sqrt(7) + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxfdccxccxc. Give prob of sequence dfcc.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*a, 40 = 2*t - 5*a + 9. Let d = t + -20. Suppose 83 = d*b - 205. Is 24 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.79 less than or equal to 0.0084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 - q + 4. Let a(x) = x**2. Give 5*a(g) - h(g).\nAnswer: -g**2 + g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2338)\/(-167)*((-6)\/(-7))\/((-28)\/(-49)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11*c**2 - 156*c - 156. What is h(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -293, 2, 10, 4 in decreasing order.\nAnswer: 10, 4, 3, 2, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggdgtgknkgtntntng. Give prob of picking 4 g.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -289.\nAnswer: -4046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2 = 4*o, -5*o = -5*a - 37 + 32. Let m(x) = 0*x**2 + 36*x + 31*x - 66*x - x**a. Let i(s) = -3*s**2 + s. What is -i(v) + 2*m(v)?\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 4. Let x be f(0). Let i be (-6)\/((-2)\/x + 2). Let l(y) = -2*y - 4. Give l(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 4136621?\nAnswer: 4136624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 189584946 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o. Let u(v) = -34*v + 96940. Determine u(i(r)).\nAnswer: 476*r + 96940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-2\/5)))**(-17)*x**6\/((x*x*x**3)\/x) assuming x is positive.\nAnswer: x**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 20454 (b) -3 (c) -5\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1673921241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 + (13 + 13 - 17 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + -5 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 19*r**4\/6 + 4*r**3\/3 - r**2 - 3*r. Let d be x(6). Suppose 2*t - d = -0*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 3, x: 3, z: 4}. What is prob of picking 2 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 76, -224, -524, -824, -1124?\n\"Answer: -300*s + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -356, 1.57, 0.5, 1 in decreasing order.\nAnswer: 1.57, 1, 0.5, 2\/5, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 4*s - 7. Suppose 0 = 2*x + 2*x - 20. Let f be v(x). Let o = f - -6. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 12 + 2, 0 = l + 2*t - 6155. Round l to the nearest 100.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggoeoeooeomgee. Give prob of sequence oee.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 73*c - 119*c - 5.\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1967865 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -35.4 (b) 5 (c) -12\/7 (d) 1 (e) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 40, 2, -26, 82 in ascending order.\nAnswer: -26, -7, 2, 40, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.086 - 0.486. What is the third smallest value in -1\/4, 1\/2, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpff when four letters picked without replacement from ffppffpffpf.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n**2 + 7*n - 19*n + 22*n**2 + 4*n + 3 + 2*n. Let c(i) = -10*i**2 + 7*i - 4. Give -5*c(u) - 6*s(u).\nAnswer: -4*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*x - 5258 + 5570 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3300 (base 4) to base 5.\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 926\/3, -32, 4, -2\/9, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4802, 4660, 4348, 3782, 2878, 1552?\n\"Answer: -14*p**3 - p**2 - 41*p + 4858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.49 - 0.39. Let h be 1\/(14\/50) - 3. Let z = 3 + 2. Which is the second smallest value? (a) z (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9918337?\nAnswer: 11, 13, 43, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*t + 3, 0 = 5*t - 4*q + 5*q + 5. Sort -11, 1, t in descending order.\nAnswer: 1, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 547*v - 10920. Determine l(20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57306816 divided by -28.\nAnswer: -2046672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:34 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*d + 32, -4*d = 5*s - 0*s - 40. Suppose 5*n + 44 - 189 = 0. Calculate the remainder when n is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**16*w)\/w*w\/w**(-2\/9)*w assuming w is positive.\nAnswer: w**(-106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 2.2. Let t = -0.1 - r. Let h = t - -2.4. Which is greater: h or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2962 + 3489. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1228, -1215, -1196, -1171?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4)*(2 + 1 - 1)*(-3 + 0 + 2)*(-2*w + 15*w + 242 - 243) in the form n + f*w and give f.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 31*a - 131. Give m(20).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2700 and 104628780?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*i - 3*i, 3*c = -4*i + 36. Solve -c*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 plus 433371?\nAnswer: 433372.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -28. Suppose 3*g + 2*z + 16 = 0, r*g = g + z - 10. Let y be 70\/(-21)*6\/g. Solve -y*i = 2*m - 23, 2*m + 4*i - 4 = 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 24*a + 215. Calculate j(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 34 = -3*k, -2*w + 18 = -2*k + 3*k. Suppose -2*a + 4 = -0, -3*b - 16 = -5*a. Calculate the remainder when (0 - 5)\/(b\/6) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 15. Suppose -10 - 14 = 3*m. Let l be y(m). Let d = l + -28. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 1050441\nAnswer: 105044.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-35)\/v*v**18 assuming v is positive.\nAnswer: v**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 15. Put 7, 0, i in descending order.\nAnswer: 7, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48674681 a multiple of 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j. Suppose 2*a + 4 = j, 2*a + 1 = -4*y - 3. Suppose y*s = 2*s - 22. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450203 less than 450200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-101)\/(-202))\/(3\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - -17. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -3*d + 2*s, -3*d + 227 + 7 = -4*s. Let u be ((-2)\/4*d)\/(-1). Suppose -3*n + 16 + u = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(208))\/(sqrt(8)\/sqrt(2)*-3).\nAnswer: 8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133077, -266151, -399225, -532299, -665373?\nAnswer: -798447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164\/161 - -30\/23. What is the nearest to 1 in 4, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9435 divided by -5.\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 - 56772*f + 2417294988.\nAnswer: (f - 85158)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -257100, -514049, -770998, -1027947, -1284896?\n\"Answer: -256949*f - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.7 + 8. Put -0.01, 5, l in descending order.\nAnswer: 5, l, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 9*t**2 - 1 - 1 + 0. Let j be k(3). Let f be -1 - 2\/4*-22. Calculate the greatest common divisor of j and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5*j + 34, -669*x - 799*x - 285 = -j - j - 6177 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319\/2327 + -3\/179. Which is the closest to 0.5? (a) 1\/6 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*w**4 - 3*w**3 - 23253*w**2 - 31865970 wrt w.\nAnswer: -272*w**3 - 9*w**2 - 46506*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = -2. Let m = -2.3416 + 1.8416. Sort -0.8, n, 0.4, m in decreasing order.\nAnswer: 0.4, m, -0.8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30839251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -3 (c) 0 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38214 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40705 = -50*o + 15*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-113 - -1))*1. Let v = 952 + z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -8. Let p = 4.6 + 0.4. Let z be (-144)\/(-378) - (24\/(-14) - -2). Which is the third biggest value? (a) z (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124791369961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -418, -877, -1426, -2065, -2794?\nAnswer: -3613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s + 32. Suppose 0 = -3*j + s*j - 10. Solve 0 = 6*i - 3*i - c - j, 4*c = -2*i - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y**2 - 4*y**2 + 2*y**2)*(-8 - 7 + 16) + 2*y**2 + 2*y**2 - y**2 to a + r*y**2 + j*y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 906, 1357, 1804, 2247, 2686, 3121?\nAnswer: 3552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2099 + -1213. Suppose -3*o = 6, -j + 4*o = -123 + 26. Calculate the remainder when w is divided by j.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 2. Let o be j(-1). Suppose o*t - t = 80. What is the least common multiple of 0\/4 + (-2 - -4) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 739*d - 745*d. Solve -30 + 58 = d*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 6 - (-43 - -11 - -52)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/5, 190\/13, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4)*72\/27. Solve 4*k + r + 18 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 491 + -2957\/6. Calculate the common denominator of -79\/6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2645*l**4*x**2 - 70*l**2*x**2 - 2*l*x**2 + 11 wrt l.\nAnswer: -63480*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -20.81\nAnswer: 22.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Let j = q - 3. Are -1 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251155 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1125*y**2 + 338 - 2238*y**2 - 338 + 1127*y**2.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x + 38 = 3*h - 19, -15*x + 85 = -3*h - h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 40, 713, -7, 12.\nAnswer: -7, 4, 12, 40, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 236*c**2 + 6*c - 2. What is the hundreds digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*p - 164*p = -35*p - 41*p - 918 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 12922\nAnswer: -12888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w**2 - 37 - 37 + 71.\nAnswer: -38*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - 2*sqrt(91)*2)\/(sqrt(847)*3).\nAnswer: -sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -45, -2.359, 3, -2\/9, 4.\nAnswer: -45, -2.359, -0.5, -2\/9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(2\/3)*o*o)\/o)\/o*o)\/o*o\/o**(2\/57))\/(o**(-6)\/o)**(2\/39) assuming o is positive.\nAnswer: o**(1475\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t - 3. Let v(u) = -28*u - 20. Let y(o) = 13*o - 74. Let f be y(6). Let g(s) = 26*s + 22. Let j(q) = f*v(q) + 3*g(q). What is -3*j(b) + 14*p(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/39 and -37\/8112.\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 - 2 + 5*i**3 + i**2 + 4905*i**4 - 4896*i**4 - i as f + u*i**2 + b*i**3 + v*i**4 + x*i and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 12. Let i be k(6). Let x(r) = r**2 - r - 4. Let y be x(-3). Suppose -y*d = -3*d. Sort i, 5, d.\nAnswer: i, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -184638*u - 1107767. Calculate a(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57588*o**4 - 3*o**3*s**3 + o**2 + 31*o*s**2 - s**3 + 2633*s wrt o.\nAnswer: 1382112*o - 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 13. Calculate o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48614619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*i - 836 - 154 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpd when three letters picked without replacement from pibpmido.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*d + 17 = 5, 5*b + 20 = 5*d. Solve b = v + 2 - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452785, 452901, 453017?\nAnswer: 453133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1414\/2424*(-16)\/(-28))\/(13\/1).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**2*p**3*s**2 + 2*a**2*p**2*s**2 + 2*a**2*p*s**2 - 2222*a**2*s**2 - 752*a*p**3*s**2 + 2*a*p*s wrt p.\nAnswer: 36*a**2*s**2 - 4512*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451, 907, 1359, 1807, 2251, 2691, 3127?\nAnswer: 3559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (sqrt(114) + (sqrt(114) - -1*sqrt(114)))*-2)\/sqrt(6) + (sqrt(76)*2)**2*2 + 0.\nAnswer: -5*sqrt(19) + 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.053 times -1\nAnswer: -0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -89*m + 276. What is k(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8513*v**3 - 234*v**2 - 9522962*v wrt v?\nAnswer: 51078*v - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157.82 - 20.38. Let t = 194 + d. Let o = t + -14.87. What is o rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1894 = -13*s - 4840. Let j = s + 1106. Calculate the smallest common multiple of 16 and j.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 911, 1334, 1721, 2060?\nAnswer: 2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 575*-122.95.\nAnswer: -70696.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1213283254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -y + 8, 3*y - 2*a + 9 = -4 + 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**3*w*y**2 + b**3*w*y - 2*b**3*y**2 - 3*b**3*y - 3*b**2*w + 94*b*w*y**2 - 2*w*y wrt y.\nAnswer: 8*b**3*w - 4*b**3 + 188*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -230 - 767a9?\nAnswer: -76a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2\/9 + 76*l\/3 - 92\/9 = 0.\nAnswer: -46, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93019925 + -152.\nAnswer: -93020077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136579579*d*u**5 - 10*d*u**2 + 748*d*u - d - 96*u**2 - 2*u + 1 wrt u.\nAnswer: -8194774740*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-765)\/(-4454))*(1\/(-3))\/((-30)\/(-135)).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36367298.342797 + 4.342797. Let s = 36367292.65999827 + b. Let j = -1.34 - s. What is j rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 3 - 3 - 2 + 5*p**2 - 7*p. Let s be d(-6). Let j be (-9)\/30*s\/3. What is the second biggest value in -5, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 3*s**5\/10 - 137*s**4\/8 + 67*s**3\/3 + 2866. Factor v(c).\nAnswer: c**2*(c - 1)*(3*c - 134)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sijjjjjzfjifjiji. What is prob of picking 1 f and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 404000596183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1 (b) -569 (c) 51\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*t, 2*r + 3*t - 44 = 7*r. Let x(p) = -p**3 - 9*p**2 - 9*p + 5. Determine x(r).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 0 + 0)*(3 + 41 + 2) in the form b*r + p and give b.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 - 2002?\nAnswer: -10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w - w. Let g be (6 - 3) + w - (-916)\/(-2). Let c be g\/(-49) - (-2)\/(-7). Solve -2*i = 1 - c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 345?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 6*k**2 - 8*k - 5. Let y be q(4). Let n = y - -10. What is the second derivative of 3*r**n - 27*r + r**5 + 7*r**5 - r**5 wrt r?\nAnswer: 200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/2, -23, -1, -5.\nAnswer: -23, -5, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + j = -43, j = 5*s + 6*j - 65. Let g = s + -14. Suppose 0 = r - 2 - g. Is r != 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*n + 150876 - 128181 = 0 for n.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 9 (b) 3 (c) 0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -2\/19 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13308313 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-6)*((-6732)\/110)\/51.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 + 68*v**2\/7 - 66*v\/7.\nAnswer: -2*v*(v - 33)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38186544203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 v, 1 u, and 1 w when four letters picked without replacement from {v: 1, u: 1, w: 1, q: 1, a: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5777 (base 8) in base 13?\nAnswer: -1523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/10, -7, -2.6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 201388344.0000066 + -201388284. Let v = 60 - m. Round v to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrxrrxrxxrrrrxrrxr. Give prob of picking 4 r.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + 1492*k\/3 + 2980\/3.\nAnswer: (k + 2)*(k + 1490)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 4, b: 1, p: 1, t: 1}. What is prob of picking 1 b and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {g: 1, n: 7, b: 2, s: 7, o: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 2*t + 4. Let n(o) = o**2 - 2*o - 5. Let a(j) = j**3 + 22*j**2 - 27*j - 93. Let s be a(-23). Let y be -6 + (9 + s)\/2. Give y*n(k) - 3*r(k).\nAnswer: k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.97655 rounded to 1 dp?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*g**2 - 10572*g + 21147*g - 10575*g.\nAnswer: 94*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5103\/(-1008) + (-15)\/(-3)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116*r - 248*r - 244*r - 292*r - 268*r.\nAnswer: 64*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**2\/2 - 2*x + 6. What is c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 9\/20*h**3 - 1\/1200*h**6 - 14*h**2 + 0*h + 0 - 9\/80*h**4 + 3\/200*h**5. Suppose t(v) = 0. Calculate v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 4*k, 25*k + 16 = -4*p + 28*k. Let o(g) = g. Let s(i) = 20*i. Calculate p*o(m) + s(m).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/179 (b) 9 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 3. Let g(l) = 2*l**2 + 14*l + 3. Let r be g(-7). Calculate p(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/296802 and 1\/5996.\nAnswer: 593604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 190 divided by 6\nAnswer: 95\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 114631 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = 3. Suppose 568*t + 280 = 624*t. Solve m*f = t + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3101 - 2012?\nAnswer: -11113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33035954)\/1617 - (-6)\/14. Suppose -x + 32786 = -h + 12354, -40860 = 2*h - x. Let q = v - h. What is the common denominator of q and 62\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 b, and 1 y when four letters picked without replacement from kkbyygyy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 11) + 16 + (-5 - 0) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*q**3 + 36849*q**2 - 4833656*q wrt q.\nAnswer: 132*q + 73698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 0 - (-8)\/9. Let o = 2.3 + -2.5. Sort -1, o, t in increasing order.\nAnswer: -1, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11390, -1, -2, -0.4, 0.2, 270, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-3))\/(-1*36*24\/1008)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 62*q**3 - q**2 - 37*q + 403. What are the prime factors of c(9)?\nAnswer: 73, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u - 25 = 23*u. Find the second derivative of -3*b + b - 4*b**u + 0*b + b**2 + 4*b wrt b.\nAnswer: -80*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 - -3. Let z = -20.6884 + -0.0116. Let a = -21 - z. Which is greater: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4278636 rounded to four decimal places?\nAnswer: 2.4279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 54, -5, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15823*l. Let j(m) = -1099*m**2 - 1. Give y(j(s)).\nAnswer: -17389477*s**2 - 15823","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2525, -2526, -2527, -2528?\n\"Answer: -k - 2524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 328 + 102 = 3*y, -436 = -3*y + 2*s. Suppose 2*l + b - 51 = -4*b, 4*l - 75 = -b. Calculate the greatest common divisor of l and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 643\/86 - -1\/43. Factor -1\/2*h + 7\/2*h**4 - 19\/2*h**3 - 1 + x*h**2.\nAnswer: (h - 1)**3*(7*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(21\/234) - -3. List the prime factors of 6*9\/(i\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u**2. Let w(g) = -g**2 - 30*g. Calculate w(f(z)).\nAnswer: -64*z**4 + 240*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1399999*s**3 - 3*s + 2. Let n be a(1). Round n to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(2\/11)*m))**(-20\/7)*((m*m**14)\/m*m)\/(m\/m**(-3)))**(-6\/7) assuming m is positive.\nAnswer: m**(-7482\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*t. Solve -4*y - 5 - 15 = t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 1, -4, 96971, -23 in descending order.\nAnswer: 96971, 4, 1, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -459851 less than or equal to -459850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-20))\/((-6)\/(-16)). Suppose 5*r + 16 = -g, -2*g + 5 = -g - 2*r. Is p bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -403963834 or -403963833?\nAnswer: -403963833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v + 2, 0 = -4*g - 2*v + 16. Let w be (-2)\/4*-542*(108\/18)\/2. Suppose 2*h = 2*y + y + 310, g*h - w = -2*y. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2719*v + 388819. Give q(-143).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjojojocjcjc. What is prob of sequence cjoo?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*r = -100, k - 12*r + 15*r = 3. Solve -4*g = v + k, -2*g = 5*v - 0*v + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010100 (base 2) to base 3.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.24 - -0.06. Let z = 11 + -10.9. What is the third biggest value in -0.3, f, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -9, 125 in increasing order.\nAnswer: -9, -5, 4, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4062397261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483189008?\nAnswer: 2, 1097, 27529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15147393*c**6 - 8214961*c**2?\nAnswer: 1817687160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**7\/30 + o**3\/6 - 10*o**2. What is the first derivative of u(l) wrt l?\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1485 and 6105?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*w - 12*w - 17*w**3)*(1151 + 83*w - 1151).\nAnswer: -1411*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 + 4*r - 4. Let s(z) = 4*z**3 + 5*z - 4. Suppose 0 = -10*p + 15*p - 30. Let m be ((-4)\/p)\/(91\/(-42) - -2). Calculate m*s(o) - 5*l(o).\nAnswer: o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.0689\nAnswer: 0.02067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300130000 rounded to the nearest one million?\nAnswer: 300000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:14 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 14*w - 4. Let h(d) = d**2 + 7*d - 2. Let q(z) = -5*h(z) + 3*k(z). Let u be q(-7). Put u, 4, 8, -1 in decreasing order.\nAnswer: 8, 4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14955 = -5*n - 2*j, -419*j = -4*n - 420*j + 11964. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 24*g**2 - 5*g - 35. Let t be h(-24). Let p = 98 + -93. What is the highest common factor of t and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msmssssjmjm. Give prob of picking 3 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -25. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 21. Suppose 2*b + z - 3*z = y, 3*z = b - 8. What is the derivative of -8 + 15 + 6*k**b + 3*k - 3*k wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 1201*n**6\/30 - 581*n**2 + 1001*n. Differentiate b(l) with respect to l.\nAnswer: 4804*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000106214 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:22 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heheeeeeeeddhedeed. Give prob of sequence de.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**(-45)\/(y\/y**1)**(-4\/3) assuming y is positive.\nAnswer: y**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 < -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7437942, 7437934, 7437926, 7437918, 7437910, 7437902?\nAnswer: 7437894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 - 26*z - 14. Let t be y(-8). Is t < 32\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 2*z**2. Let i(v) = -7*v**3 - 6*v**2 - 125*v + 5. What is -i(s) - 3*r(s)?\nAnswer: 4*s**3 + 125*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 119\/4 - (-1)\/4. Find the common denominator of 4\/g*6\/16 and (3\/36 + (-927)\/432)*12\/9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(100))\/sqrt(4) + sqrt(2025) + sqrt(2025)*-3)\/((sqrt(20) - -3*sqrt(20)*-1)\/(sqrt(4) + (sqrt(4) - (sqrt(256) - 1*sqrt(256))) + sqrt(4))).\nAnswer: 45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 3 (c) -0.09 (d) -0.1 (e) -2 (f) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*i + 2*r, 5*r = -0*i - i + 11. Solve 5*d = i*d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**3 + h**3 - 7*h**3 + (0*h + h + 0*h)*(2 - 2 - 2*h**2).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1440 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**26 assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8741 - -12726. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5525122 (base 6) to base 15\nAnswer: 56b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -803, -1316, -1839, -2372, -2915?\nAnswer: -3468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1)\/((-10)\/(-20)). Let x(t) = -17*t + 1. Let n be x(i). What is the greatest common factor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/7 (b) -0.01 (c) -0.73 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5 - 49942*a**4 + 312398644*a**3 - 7775942444*a**2 - 17739674358*a + 25203268098 = 0.\nAnswer: -3, 1, 27, 12473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-10))\/(6\/(-15)). Let g = -3 + r. Does 19 divide -1*((g + 2)*-1 + -120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 + 66. Suppose 4*b = 68*b - 384. Solve 3*t - b = n*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 4) to base 3\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*f - 355 = 0, 835 = 11*v - 6*v - 5*f. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/14 + -3 + 416\/(-1120)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l - 47516 + 155060. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, o: 1, l: 2, u: 2}. What is prob of sequence oc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + -67116047.\nAnswer: -67116047.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27267*l*w*y**3 - 147*l*w + 14*w*y**2 - 2*w - 7486*y**3 wrt l?\nAnswer: -27267*w*y**3 - 147*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -a45 (base 11) to base 10\nAnswer: -1259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141083798?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 5, 4, -3 in descending order.\nAnswer: 7, 5, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*5577\nAnswer: -2230.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6033 (base 13) to base 15\nAnswer: -3db9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*x + 14 + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5024 = -4*o. Let q = o + -262. Suppose 10*m - 394 = q. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/3? (a) -3 (b) -3\/2 (c) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12093912720546336 - 12093912896410986.00000066. Let p = r - -175864652. Let s = -2 + p. Round s to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604 = m + 2*j + 2*j, -j = -m - 619. Let o = -285 - m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + (-57 + -8 - -92).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in -2\/23, 357, 1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3\/5 (b) -0.113 (c) 0.4 (d) 2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2672646 is divided by 968?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 15, -5 = -p - 5*z + 408. Suppose -5*i + p = -132. Is i a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, k: 2, v: 2, l: 2, w: 2, s: 4}. Give prob of picking 1 s and 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-30) + (0 - (-36)\/10). Solve -3*z = -10 + p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -966*(-5 + (-6 - 63\/(-6))). Calculate the highest common divisor of w and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**4\/k))\/k*k**6*(k**(1\/3))**39)\/(k**(-2\/9)\/(k\/k**(2\/11)))**(-7) assuming k is positive.\nAnswer: k**(863\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3536, -3526, -3516, -3506?\n\"Answer: 10*h - 3546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14.7653 times 9\nAnswer: -132.8877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1351514 by -2.\nAnswer: 675757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + -4)\/42*(18 - (-8)\/4). Find t, given that z*t**2 + 0 - 2\/7*t**3 + 0*t = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -27*a**2 - a + 398. Let d(m) = -33*m**2 - 2*m + 398. Determine 4*d(x) - 5*q(x).\nAnswer: 3*x**2 - 3*x - 398","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 = 4*j + 24, -4*b + 28 = 2*j. Suppose -b = 4*p + 80. What is the remainder when (-510)\/p + 4\/(-22) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 651*a + 175*a**2 - 2 - 651*a + 13*a**2 as b*a**2 + d*a + u and give b.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28888.\nAnswer: 2, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -12311272?\nAnswer: 7\/6155636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14075808 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 1\/9, 118, 4 in ascending order.\nAnswer: -0.12, 1\/9, 4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 979 and 16973279.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -316870 greater than -316870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*n - 0. Suppose k - 23 = -5*z, -n*z = -0*z - 2*k - 19. Sort -4, 4, z in increasing order.\nAnswer: -4, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 88186*z**2. Let j(p) = -4126*p**2. Calculate j(y(n)).\nAnswer: -32086955479096*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170.2 - -170.19999263. Round l to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037542722 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/(2\/(-6)). Suppose 3*c - 3 = 3. Calculate the highest common divisor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 137 = -4*l + 374, -2*b = 4*l - 262. Suppose -5*v = -2*v - l. Is 14 a factor of 300\/v - (-4)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 6:23 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19312 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q*t**2 - 12*q*t + 360*q + 16838938*t**2 - 7*t - 13 wrt t?\nAnswer: -2*q + 33677876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 12.81\nAnswer: -1.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -875*r**2 + 184615*r + 2110.\nAnswer: -5*(r - 211)*(175*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3\/2 (c) -3\/4 (d) -3 (e) 0.5 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*t = -581 - 581 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.41 and 49.\nAnswer: 20.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 9. Let x = 5 + 2. Let v be r(x). Find the second derivative of 0*g - 3*g + 3*g**2 + 4*g**2 - v*g**2 wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r + 1. Let l be s(1). Let x be 1*2 + 2 + -1. Let g(c) = 3*c - 5*c**2 + c**x + 10*c**2 + c + 6. What is g(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 584*i + 30015. Is 69 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 3*m + 17, 1470*q - 5*m + 7 = 1474*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 51 + -21 - ((-1 - -17) + 1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {o: 3, d: 2, t: 12}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 510697, 4085657, 13789123, 32685349, 63838589, 110313097, 175173127?\n\"Answer: 510709*b**3 - b**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 1. Let s(z) = 3*z - 1. Let u(r) = 2*f(r) - s(r). Let y be u(2). Let o = y + 23. Solve 4*t + o = -4*n, -2*t + 4*t + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 7. Let y be t(-5). Suppose -9 - 23 = y*z. What is the least common multiple of 9 and z\/(-4) + 2 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-5\/4)\/q))\/(q\/(q*q**(-3\/32)*q*q)) assuming q is positive.\nAnswer: q**(165\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5926 + -2016. List the prime factors of r.\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 2, m: 2}. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = k - 18*k. Suppose -x + 2*d + 129 + 6 = 0, k*d - 675 = -5*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354198 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.15, 0, -57055.4?\nAnswer: -57055.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) 623 (b) 2\/15 (c) -0.03 (d) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 23 = 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-45))\/((-68)\/51)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 1009.\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2167000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00396532 to five decimal places.\nAnswer: -0.00397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*j**2 - 78*j + 40.\nAnswer: 2*(j - 5)*(7*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 7*k**2 + 12*k - 4. Let y be a(8). Suppose -5*s - 8 = -y. Let d(w) = 2*w - 1. Is d(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28756 divided by 3.\nAnswer: -28756\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r**2 + 2*r + 3. Let h(j) = -25*j**2 - 3*j + 2 - 4 - 3. Let m(v) = -3*h(v) - 5*p(v). Determine m(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1186 - 1181. Let a = -1.6 + 1.2. Is p smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 + 2637*j + 100.\nAnswer: 2637*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, -4, -2, 982, 4.\nAnswer: -5, -4, -2, 4, 27, 982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/10)\/((-2)\/10). Let g = 0.024 + 1.976. Let l = 2 - g. What is the closest to l in 2\/13, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z - 243. Let t be b(38). Calculate the greatest common factor of 8 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*q + 5*x - 8, x - 11 = -3*q. Let n be (36\/q)\/((-18)\/(-420)). Suppose -4*l = 2*o - 176, 4*l + o + 3*o = n. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69669366 and 6830330?\nAnswer: 348346830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:56 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/56 and -5\/231.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3\/5 + 8848*s**2\/5 + 1958946*s + 19554084\/5 = 0.\nAnswer: -2211, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3.07\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 14*x + 21. Let j be m(13). Let w = j - 5. Suppose b + 352 = w*o - 174, -o + 3*b + 170 = 0. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**2 - 11*u - 6. Let y(k) = 20*k**2 + 33*k + 17. Let x(b) = -6*y(b) - 17*z(b). List the prime factors of x(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341617 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from vjvvvvjvvjvv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cob when three letters picked without replacement from gbvoccovcbovvgv?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*o - 63681711 = 38*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 408 = 2*w + 15*w + w for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 0 + 15 + -21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22798*u + 17331*u + 1849*u - 8301*u + 9637*u to the form s*u + h and give s.\nAnswer: 43314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a**2 + 7*a. Let w(j) = -7*j - j**2 + 2*j**2 + 10*j - 5*j**2. What is -3*m(r) + 7*w(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(2*(sqrt(66)*1 - sqrt(66)) - (sqrt(66) + 5*(sqrt(66) + 2*sqrt(66)))))\/((sqrt(30) + sqrt(960)\/sqrt(2))\/(1*(sqrt(80) + sqrt(5)))))**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**5\/20 + r**4\/6 + r**3\/2 + 3*r**2\/2 - 17*r - 26. Let a(d) be the first derivative of c(d). What is a(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 161\/(-112)*-4 + -5. Let w(j) = j + 1. Let n be w(1). Let q = -1.04 + 1. Sort p, n, q in decreasing order.\nAnswer: n, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211164.692 less than -64?\nAnswer: -3211228.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1974, 228, 1, 107 in increasing order.\nAnswer: -1974, 1, 107, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6241922686 to the nearest integer?\nAnswer: 79006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 5445?\nAnswer: 5445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 5033*q**2 + 5031*q**2 + 0*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -469, -0.5?\nAnswer: -469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 8:42 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18037 is divided by 311.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2 - 2*i**4 + 3 + (-5*i + 2*i + 2*i)*(-4*i**3 - 6 + 6) as n*i**4 + j + h*i**2 + q*i**3 + c*i and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 18*m**2 + 8*m - 74. Let x be t(9). Is (-2)\/x - 13\/(130\/(-128520)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*x - 99 = -295, -u - 5*x + 52 = 0. Let i = u + -54. Is 18 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3996*v + 90 = -3978*v. Solve -424 = v*t - 404 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1 + 2 - 2 + g. Let q(x) = -188*x. Let s(n) = -23*n - 1. Let v(o) = q(o) - 8*s(o). Determine 6*f(a) + v(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*s - 9, 4*p + 0*s + 2*s + 10 = 0. Let n(w) = 1 - 1 - 3*w**2 - w**3 - 1 - 4*w. Let j be n(p). Solve 0 = -3*c - 3, 4*h + 4*c = 27 - j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 283 - 1ba0?\nAnswer: -1919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + f = 7, 0*x - x - 3 = -4*f. Let w(a) = 3*a + 3. What is w(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -6. Suppose 0 = a*h - 5*h + 86. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 60. Let z be o(15). Suppose 3*n = -l + 7, z*l - 2*l = n - 14. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3522*3\/(-30)*-5. Let v = q + 142643\/81. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - j. Let l(v) = -v**2 + 11*v - 1. Let s(y) = -l(y) + 2*m(y). Calculate the remainder when 255 is divided by s(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 2*v**3 + 15 - 2*v**2 - 4 - 47*v - 9*v - 2 as h*v**2 + r*v**3 + j + s*v and give s.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2768909*u. Let w(y) = -2*y**2. Determine f(w(s)).\nAnswer: 5537818*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (15 + (1 - (12 + 1)) + -16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 7*d - 4. Determine s(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -922375\/8 greater than -115298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11280 and 12626832?\nAnswer: 63134160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.84 + 11. Let s = 1.64 + m. Put 4, s, 0.1, -2\/31 in descending order.\nAnswer: 4, 0.1, -2\/31, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3. Differentiate q**3 - 1 + 2*q**3 - o + 3 with respect to q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/766 + 347645\/5362. Let f = 65 - y. Suppose -10*z - 6 = 44. Put -2, 1, f, z in descending order.\nAnswer: 1, f, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746657 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b + 24. Give k(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.5976 + 29.4. Let p = f + 0.06. Round p to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.4966 + -0.5034. Let u = 5 + -6. Let n = -0.8 - -5.8. Which is the closest to 1? (a) n (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -5 - 48\/(-6). Suppose -2*q + 2*p = -4*q + 4, -5*q + j = p. Suppose -q*c + c = -20. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - i + 4. Let y(t) be the second derivative of 11\/12*t**4 + 0 - 11*t - 1\/3*t**3 + 9\/2*t**2. What is 7*o(b) - 3*y(b)?\nAnswer: 2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-2\/93))*t**(-2\/65)*t**(12\/13)\/(t*t**27) assuming t is positive.\nAnswer: t**(-163736\/6045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 44. Let o be z(24). Suppose -3*w - 4*t + 189 = -0*w, 4*w - o*t - 252 = 0. Calculate the greatest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.6 + 160?\nAnswer: 142.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + 4*i + 2*i)*(-3 + 3 - 1)*(-351 + 50*i - 132*i + 81*i) to the form q*i**2 + d*i + j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19907 - 18989. Calculate the greatest common divisor of h and 2958.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*(-87)\/(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-448)\/637 + 76\/(-494))*(-588)\/540?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*s - 557*s = -106 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 12 - 33) + -3 + 10 + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*(u\/u**(-5\/4))\/u))\/u*u**(-19)*(u\/(u*u*u\/(u*u**(-1))*u))**(-45) assuming u is positive.\nAnswer: u**(451\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-20)\/(((a*a\/(a*a\/(a\/a**18)))\/a*a*a)\/a))\/(a*a*a**(-5)*a\/(a\/a**(-12\/5))))**(1\/10) assuming a is positive.\nAnswer: a**(6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-12))\/((-1)\/84))\/(-1 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1473040 at most -1473046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = o - 6*i, 4 = 2*i. Let q = -2 - -1. Let a = 0.1 + 0.9. What is the nearest to q in a, 1\/5, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -95*r + 117. Let c be y(5). Let a = c - -360. Solve 0 = -a*f - 4*f - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436911111 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wip when three letters picked without replacement from wihigpmmh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3000 = -23*l - 81*l + 224. Solve l*m = 29*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395750 is divided by 1563?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-2)\/(9\/(-15) - 946\/(-1610))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 1162*d**2 + 2*d + 24525 wrt d.\nAnswer: 8*d**3 - 2324*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 0.3 (c) 89 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + 7*p. Let n be (-2)\/((1\/(-1))\/1). Let q(t) = 8*t + t - 7*t - 2*t**n + 3*t**2. Calculate 7*q(s) - 2*u(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51247 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 25 = 0, 5*v + 3*j - 3 = 17. Let s = v + 5. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*v + 20. Suppose v + 1 = x, -3*x - 209 = 4*h. Let o = h - -102. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 + (-1)\/9)\/(247\/(-741)))\/(-3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0 - 2\/15*o**5 + 0*o**7 + 2*o**2 + 0*o**4 + 1\/48*o**8 + 0*o**3 + 0*o + 0*o**6. Find the third derivative of t(k) wrt k.\nAnswer: 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 279\/39 - 10\/65. Let s(o) = o**2 + 17*o + 4. What is the hundreds digit of s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319829.31 rounded to the nearest ten?\nAnswer: 319830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1. Let m(z) be the second derivative of z**3\/6 - z**2\/2 - z - 16. Determine -2*h(l) - m(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 73.49.\nAnswer: 73.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10875994951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -835\/2 or 15\/181?\nAnswer: -835\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = 15*m - 26*m. What is the remainder when (-1)\/(-1) - (-4)\/((-24)\/m) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 181 = -5*n - 76, 0 = 3*v + 2*n + 148. Is v\/30*29586\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010001010 (base 2) to base 4.\nAnswer: -22022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898085.\nAnswer: 5, 53, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -296 from -163328.\nAnswer: -163032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -8. Let r be t\/2 - -1*5. Find the second derivative of l + 4*l**4 - 4*l**4 - r*l - 2*l**5 wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1896*s - 11859*s - 407415 - 143878 = -83623 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.022009 hours?\nAnswer: 21679.2324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -679189, -1358285, -2037381?\n\"Answer: -679096*b - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5306 and 2435075?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -379663, -379647, -379631, -379615?\n\"Answer: 16*f - 379679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 5, w: 4, b: 1, n: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*y - 74 = 0, 2*p = 5*p - 3*y - 36. Suppose -16 = -z - p. Suppose 2*l - o - o + 14 = 0, -z = -o. Which is bigger: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.7 - 2.3. Which is the second biggest value? (a) 0 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 7. Let y(r) = 37*r - 26. Is y(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - sqrt(102)\/(sqrt(18)\/sqrt(3) + sqrt(6)) - (-3*(-3 + sqrt(17)))**2.\nAnswer: -234 + 109*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 363738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5 - 55*p**4 + 140*p**3.\nAnswer: 5*p**3*(p - 7)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 48*m + 5. Is 19 a factor of g(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (5 + -6 + 0)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/102 and -93\/116756.\nAnswer: 350268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from jjjbejeebjjeeje.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 36.735 and -19.\nAnswer: 17.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + (sqrt(1080) + (sqrt(1080) - 2*sqrt(1080)) + sqrt(1080) - sqrt(1080)))\/(sqrt(490) + sqrt(490)*2).\nAnswer: sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1914433, 3828859, 5743285, 7657711, 9572137?\nAnswer: 11486563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54675 and 41425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.45 - -0.45. What is the smallest value in -1\/7, m, -0.4, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -166. Let r = n + 76. Does 11 divide r - (-2*1)\/(20\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 863861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*k + 135, 0 = -u + 6*u - 4*k - 255. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 3 (c) 1\/4 (d) 0.5 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 5*b**3 + 7*b**3 + (-b**2 + 13*b**2 - 11*b**2)*(-3 + 3*b + 3).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*r - 101*r**2 - 15*r + 39*r - 777*r**2 wrt r.\nAnswer: -1756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 17*c**2 - 2*c**2 - 16 - 3 - 3*c + 2*c**3 - 7*c. Let i be t(-8). What is the units digit of 3\/(-5)*285\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 - 45. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/67 - 5505\/938. Let w = -64 + 60. What is the common denominator of z and w\/36 - 970\/(-144)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = -10. Solve -s*b = -b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 4*q**2 - q + 1. Calculate the remainder when 38 is divided by a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjas when four letters picked without replacement from asstssassaasaja?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**3 + n**2 - n. Let d(o) = 78*o**3 + 21*o**2 - 23*o - 3. Let m(i) = d(i) - 11*t(i). Determine m(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -830826 divided by -101\nAnswer: 8226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -181507 and -36.\nAnswer: 6534252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 285326704 - 285326660.99999897. Let v = k - 43. Round v to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9842742 (base 10) to base 9.\nAnswer: -20461630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12336 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + 6*v - 81. Let h(o) = -11*o**2 + 7. Give m(h(k)).\nAnswer: 484*k**4 - 682*k**2 + 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1155 - -1162. Calculate the greatest common divisor of t and 322.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/2)\/(2\/4). Suppose z*l - 322 - 59 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46*3 + 4\/(-2). Suppose -4*c - m - 327 = -886, -2*c + 2*m = -272. Suppose c*u = q*u. Is u < 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27f61 - 15?\nAnswer: -27f76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*-1 - sqrt(8)\/(sqrt(16)\/sqrt(4)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153126 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/217 and 64\/93.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -1\/10*p**3 + 0 + 3*p**2 + 1\/100*p**5 + 1\/200*p**6 + 0*p - 1\/40*p**4. Factor x(q).\nAnswer: 3*(q - 1)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.7. Let i = 52.8 + 7.2. Let j = -56 + i. Put 2\/5, v, j in increasing order.\nAnswer: v, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 8. Determine j(13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 6*a**2 + 5*a + 2. Let f be o(5). Let x be ((-28)\/5)\/(4 + 66\/(-15)). Suppose f*v + 3828 = x*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2080853*v**2 + 1918209*v.\nAnswer: -4161706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s**3 + 23*s**2 - 15*s + 31. Let z(o) = -7*o**3 - 15*o**2 + 10*o - 20. Let i(l) = 5*u(l) + 8*z(l). Let m(g) = -g**2 + g - 1. Give -i(b) + 5*m(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143))\/sqrt(11)*-2.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3179 + 60*w + 210*w**2 + 3200 - 81*w. Let x(z) = -21*z**2 + 2*z - 2. Calculate 2*q(i) + 21*x(i).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32080 + -4330879\/135. Find the common denominator of -58\/9 and t.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 16*m - 6. Let r be t(-4). Calculate the highest common factor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9)\/x**(2\/35)*(x**(2\/11)*x)**(23\/4) assuming x is positive.\nAnswer: x**(-3483\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.2125 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 309929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 338484 times 15?\nAnswer: 5077260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q**2 - 47*q. Let z(h) = -3*h**2 - 10*h. Let w(y) = 2*i(y) - 9*z(y). Let u(c) = c**3 + 6*c**2 + 5*c + 3. Let j be u(-5). Calculate w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2446 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/9)\/(9\/27). Let v be -4*m\/2*-52. Calculate the greatest common divisor of 65 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 59\/(-6))\/(-1)*4\/(-5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 57*g = 33*g + 3648 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 6545374.8689364.\nAnswer: 6545379.8689364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 21*w - 30*w. Calculate the highest common factor of 25 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5445 and 19305.\nAnswer: 212355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2392 - 2388. Solve -2*a - 17 - 11 = -s*f, -5*f + 33 = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from oooooooooiiooio?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {a: 8, j: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -345*y - 7. Let o(x) = 12*x - 1. Give -9*o(z) + s(z).\nAnswer: -453*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**2\/2 - 90*y - 52. Let n(j) = -j**2. Calculate n(z(k)).\nAnswer: -k**2 - 180*k - 8100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-105*f + 103*f + 10*f**2 - 4*f**3 - 7*f**2)*(-41*f + 10*f - 113*f) to c*f**3 + r*f + s*f**4 + g + n*f**2 and give s.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**6)\/(i*i**15*i))**(-24) assuming i is positive.\nAnswer: i**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.12 (b) -0.2 (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2137731 rounded to 2 decimal places?\nAnswer: 2.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 29 = 2*m + 5*w, 5*m = -2*w + 7. Suppose -4*d = 5*j - 0*j - 30, -m*j - 36 = -3*d. Let g be (-462)\/(-110) + (-2)\/d. Solve -15 = g*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1270 is divided by 396?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t + 2764. Let c(i) = -10*i. What is c(b(o))?\nAnswer: -30*o - 27640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 371\/3 or 0?\nAnswer: 371\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13506 + 11987 = -49*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 1\/24*f**4 + 0*f + 0 + 2*f**3 + 14*f**2. Calculate i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -52. Suppose o - 6*o = t. Let i be -4 + (183 - 0) + o. Calculate the highest common factor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 2)*(-3 + z + 3) - 2*z + 2*z + 7*z as p + h*z and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5022, -7636, -11992, -18090?\nAnswer: -25930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 5*y**3 + 2*y**3 + (46*y**2 - 32*y**2 + 53*y**2)*(-21 - 23*y + 21).\nAnswer: -1542*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3415016 (base 7) to base 10\nAnswer: -424304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) -0.01 (c) 2\/5 (d) -5 (e) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(7) - sqrt(28))*-6*-6)**2 + 3.\nAnswer: -54429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490670.\nAnswer: 2, 5, 139, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*i = -1586 + 10676. What is the fourth smallest value in i, 1\/4, -4, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + (-4)\/8 + 58\/4 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: c1 (base 13) to base 16\nAnswer: 9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3580793 to the power of 1\/2, to the nearest integer?\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**2 - 18*q**2 + 4*q**2 + (-2*q**2 - 2*q**2 + 5*q**2)*(-4 + 1 + 1) + 2*q - 2*q - q**2 + (5 - 1 + 1)*(q**2 - 2*q + 2*q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**2 + 3*a - 7. Let n(k) = 5*k**2 + 2*k - 3. Suppose -49 = 11*u - 16. Calculate u*v(l) + 5*n(l).\nAnswer: -2*l**2 + l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from mbmmmbbmbbmmmmbmbmbb?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l = -19*l - 93. Suppose -10*y - 1 + l = 0. Solve 2*w + 11 = y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let h(r) be the first derivative of r**2 + 21*r - 96. Give h(s(j)).\nAnswer: -2*j + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*v - 26 = 0, 25 = -0*y - 2*y - v. Let u(l) = -l**3 - 4*l**2 + 2*l + 6. Let b be u(-4). Does 5 divide b*(1 - y\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*z**4 - 4*z**4 + 31*z**4 + (-5*z**4 + 3*z**4 - z**4)*(3 - 2 + 0).\nAnswer: 90*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 950 and 77588450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32158610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267955481*w**4 + w**2 + 57895*w + 1915.\nAnswer: -6430931544*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + 165?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7*f + 5*f + f**3 - 20*f as j*f**3 + a + s*f + m*f**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 - -14)\/(6\/22). Suppose -c + 11 = -0*o + 3*o, 0 = 2*o - 3*c + g. Solve o*r + 2 = 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15818 is divided by 791.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 11. Give s(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**5 - 2*u**2 + 2*u**2)*(-20 + 7 - 6).\nAnswer: -19*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 4*a**2 + 2*a - 4. Let c be z(4). Let t be -21 - 0 - 2\/1. Let k = 4 - t. Solve 2*w - 4 = -c*f + 6*w, 5*w = -3*f + k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**2. Let a(k) = 1187*k**2 + 1. Give a(t(j)).\nAnswer: 58163*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 1, v: 1, j: 1, n: 1}. What is prob of picking 1 v and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2466, 4934, 7402, 9870?\n\"Answer: 2468*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4602, -9212, -13836, -18474, -23126?\nAnswer: -27792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*r + 2*r + 164, -5*v + 190 = 5*r. Let u(p) = p**2 - 4*p + 4. Let f be u(6). Calculate the greatest common divisor of f and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x**2 + 12*x - 5. Let y be g(5). Let k = -76 + y. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -8 + 10 - (1 + -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**3 + 0 + 4*p**2 - 2 + 6*p + 3*p**3 - 2. Let k be (1 + 6\/(-4))*-10. What is the remainder when 1 is divided by v(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736504709 - 3.8.\nAnswer: -736504712.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 94. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 16, 0.03, -7, -5, 2\/7 in increasing order.\nAnswer: -7, -5, 0.03, 2\/7, 2\/5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - 0. Let o = 14 + p. Find the common denominator of 31\/7 and -3 + 75\/(-24) - o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35223 and 828006?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 5*m - 3. Let x be q(-4). Suppose -s - x = -4. Let i(u) = -u - 10. Let w be i(-13). Solve -k = 2*t - s*t - w, -4*k + 21 = 5*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -7*z**3\/3 + 4*z - 6. What is the derivative of t(v) wrt v?\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -62*n - 790. Calculate x(-23).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**5 + b**5 - 4*b**5 + (2*b + 6*b + 2*b + (-1 + 1 - 2)*(-b - 2*b + b))*(4*b**4 + 0*b**4 - 2*b**4).\nAnswer: 20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*l**2*n + l**2 + 4*l*n + 306*n + 2 wrt l?\nAnswer: 84*l*n + 2*l + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/55*3370\/674.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*a + 13 = 3*a, 0 = -a + 3. What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553747654.\nAnswer: 2, 276873827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -392126.8?\nAnswer: -196063.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*o - 89*o + 18*o + 18*o = 3910 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191.4675 weeks to microseconds.\nAnswer: 115799544000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948714733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3002794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-5))\/(((-8)\/10)\/4). What is the highest common divisor of r and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:34 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 23*s**2 + 5*s + 2. Let b(k) = 3*k**2 + k + 1. Give a(z) - 6*b(z).\nAnswer: 5*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18824?\nAnswer: 2, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g + 16 = 52*g. Solve -5*r - 3*p + g = 5, -r - 2*p = 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a - 31. Calculate w(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11331 (base 4) in base 3?\nAnswer: 112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.629 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20777, -20791, -20797, -20789, -20761, -20707, -20621?\n\"Answer: w**3 - 2*w**2 - 15*w - 20761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1, 3, 10\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 19?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054008773 rounded to six decimal places?\nAnswer: -0.054009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61279\/8065 + -3\/1613. Calculate the common denominator of c and 3\/(-6) - (-34)\/(-28).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)\/t*t*t\/t**(2\/9))**(-15)\/((t**(2\/3)*t**(-1)\/t)\/t**(-36)) assuming t is positive.\nAnswer: t**(-233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is -44 plus -7.7?\nAnswer: -51.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 1142?\nAnswer: -57.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10795 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.005 - 0.205. Let w = -6 + 11. Let l = -0.51 - -0.01. Which is the third smallest value? (a) l (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231774?\nAnswer: 2, 615887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 16*f - 72 = 0. Is (502\/(-8))\/(62\/8 - f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -212 and -214780\/1011 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-41.1.\nAnswer: -41.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 9:01 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -14*s**4 + 3*s**3 + 9*s**2 + 6. Let w(n) = -42*n**4 + 8*n**3 + 27*n**2 + 16. Let m(v) = 8*r(v) - 3*w(v). What is the third derivative of m(k) wrt k?\nAnswer: 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3980*w + 12. Let a(o) = -31*o**2. Determine c(a(k)).\nAnswer: 123380*k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/23)\/((-6)\/4). Let c be 34\/289 + 20*4\/476. Sort c, d, -4 in descending order.\nAnswer: c, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3 = -a. Suppose 2*m + 0*m + 31 = a*h, -2*h + 19 = -3*m. What is the second derivative of h*d**4 - 8*d**4 - 8*d + d wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16594567061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w**2 - 7*w + 18. Let m be g(-9). Suppose 2*k - m = -s, -k = -4*k + s + 1572. Is 35 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 0*s**2 + 19\/5*s**5 + 17\/3*s**3 + 0*s**4 + 0*s - 23. What is the third derivative of q(i) wrt i?\nAnswer: 456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 1895097*b**4 - 2*b**2 + 1895090*b**4 - 3 - 2*b**3 - 16*b**2 in the form f + s*b**3 + o*b**2 + h*b**4 + n*b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*a**3 - 16 + 3*a**4 - 61*a**3 + 2*a**4 + 0*a**4 to i*a**3 + q*a**2 + g + r*a**4 + k*a and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 17. Suppose -9*b = -r*b - 298. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 399.\nAnswer: -16\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000361209412 to seven dps.\nAnswer: 0.0003612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-2)\/(-1) - 12\/3. Let z(t) = -3*t + 30. Let r be z(u). Let s = -63 + r. Solve 2*j = 3*j - s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/5))**(4\/41)*f**0*f**(-4)*f)**(1\/49))**(-1\/65) assuming f is positive.\nAnswer: f**(89\/93275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -3, -2, -41 in ascending order.\nAnswer: -41, -3, -2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11)\/i)**(-1)\/(i\/(((i\/((i*i**(-6))\/i))\/i)\/i)*i**(-17)) assuming i is positive.\nAnswer: i**(244\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 11*r**4 - 16\/5*r**5 + 104\/3*r**3 + 128*r + 38 - 128*r**2 - 2\/3*r**6. Suppose s(z) = 0. Calculate z.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -918, 0.05, 0.5, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - v**2 - 203715*v**3.\nAnswer: -203715*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 3*u - 1 - 2*u + (-1 + 1 + 2*u)*(-6 + 3 + 1).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10 - 10 - o**3 - 1365*o**2 + 1382*o**2 + 21 + 17*o. What is d(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r - 2106 + 46026 = 0. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004371568 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -692*a - 35 + 40 + 46*a in the form i*a + u and give i.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 551, 554?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97808151.\nAnswer: 3, 7, 379, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9436*h**4 - 850*h**3 - 16609240*h**2?\nAnswer: 226464*h - 5100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14295 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-6)\/(-5))\/2)\/(23\/(-115)). Sort -1, 2, o, 1 in ascending order.\nAnswer: o, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*((sqrt(468)*-1 - sqrt(468)) + sqrt(468)) + (sqrt(468) + (sqrt(468) - (sqrt(468) + -1*(-1 + sqrt(468)) + sqrt(468))))**2.\nAnswer: -24*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 11*a**2)*(-24*a - 14*a - 11*a)*(3 - 4 + 0 + (1 + 3 - 2)*(0 - 2 - 1)) as s + w*a**3 + u*a**2 + p*a and give w.\nAnswer: 3773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 440*j**2 + 80 - 42 in the form u + v*j**2 + m*j and give v.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3) + 1 + 2)**2 - (2 + sqrt(81)\/sqrt(3))**2 - (((2*sqrt(2112))\/(-4*2*sqrt(11)))**2 + 3).\nAnswer: -34 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o**2\/5 + 4626*o - 29808\/5 = 0 for o.\nAnswer: -552, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:12 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003840555553 to four dps.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 39.51 times -1\nAnswer: -39.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + b**3 - 6*b**2 + 13*b**2 - 3 - 12*b**2 + 6 in the form y*b**2 + a*b + k + g*b**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-2)\/14) - -4. Solve -9*i = -z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -598 - -597.8. Let d be 64\/24*(-6)\/(-4). What is the closest to 2\/3 in d, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 281*c + 2*c**3 - 4362 - 145*c - 138*c - 3*c**3 - c**3 to the form n*c**2 + y*c + q*c**3 + f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q\/(q*q\/(q\/q**(-3)*q)*q))))\/(q\/((q*(q*q**(-8\/3))\/q*q*q*q)\/q)))\/(q**(-4\/7)\/(q\/(q**5\/q*q))) assuming q is positive.\nAnswer: q**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -26*i**5 + 11*i**3 - 11*i**2 - 11*i - 11. Let a(j) = 5*j**5 - 2*j**3 + 2*j**2 + 2*j + 2. Let s(r) = 11*a(r) + 2*f(r). Factor s(m).\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586.695cm in kilometers?\nAnswer: 0.01586695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((6\/(-12)*2)\/11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*b**3 + b**2 + 34*b + 16188?\nAnswer: 159*b**2 + 2*b + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 19502497.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.83*-0.19.\nAnswer: 1.1077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-85799)\/(-11) - 12\/(-11) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236889187.\nAnswer: 236889187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 9 = -v + h, -4*v = -2*h - 6. Let n = 8 + v. Suppose 2*x + n*x - 621 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-51)\/3)*1088646\/(-85384).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 63*n - 3026. Let q be g(48). Which is the nearest to 1? (a) 0.2 (b) q (c) 4\/3 (d) -0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - (-337212)\/(-7140))\/(((-8)\/(-5) - 1)*6)?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -13*d**5\/20 - 7*d**4\/12 - 13*d**3\/3 - 37*d. Let k(a) be the second derivative of f(a). Is k(-3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111630151 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 4*t**2 + 4. Let n be y(-3). Let c(g) = -24*g + 7. Is c(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 19*q - 98. Let g(o) = -22*o + 97. Let z(h) = -4*g(h) - 5*p(h). Let t be z(15). Which is the nearest to -0.1? (a) -1 (b) t (c) 0.4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*p + b, 3*p = -2*p - 5*b + 60. Suppose 3*m - 2*m = 20. Suppose 0 = -4*v - v + m. Solve -v = 3*j + p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 + -6 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3453*o**3 - 2*o**2*z**2 + 28385*o**2 + 84423552*o*z**2 wrt o?\nAnswer: 20718*o - 4*z**2 + 56770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 64*g**2 + 24. Let q be t(-64). Solve -11*f = -3*f + q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (340\/136)\/((-4)\/((-96)\/(-90)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w**3 + 3*w**3 + 0*w**3)*(-6 + 2 + 8)*(5*w - w - 3*w).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 12:26 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 877749199 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 476*j**3*r**2*y**3 - 5*j**3 - 3*j*r**2*y**3 - 51*j*r**2*y**2 - r**2 wrt y?\nAnswer: 2856*j**3*r**2 - 18*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 158 - 142. Solve -4*i - i - s*c - 23 = 0, 5*i + 7 = 2*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-2) - 7\/(-14) - 10. Let h(k) = k**3 + 2*k**2 - 6*k - 2. Give h(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 2060504?\nAnswer: 1236302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 456 = 3*y - 26, 0 = -3*y - 3*n + 474. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24780.7269s in days?\nAnswer: 0.28681396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + -1.3. Let m be (1\/1 - 0) + -1. What is the second biggest value in m, f, -5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53972997*l**6 - 3*l**2 - 5056*l + 138?\nAnswer: 6476759640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -31. Suppose -l = -3*a - 2*i, 3*i = a - i + 9. Suppose -3 - a = -y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 61837398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 676*q**3 - 322.\nAnswer: 2028*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7217811, -7217814, -7217817, -7217820, -7217823?\nAnswer: -7217826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*w - 49. Let c(b) = -5*b - 5. Let y(v) = 5*v + 6. Let o(h) = 4*c(h) + 3*y(h). Let z(n) = -11*n - 5. Determine w*o(a) + 3*z(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-5))\/((-5)\/25). Let h be ((-3)\/y)\/(6\/16). Solve -4*t + 2 = -h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 at least as big as -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 13 = 11. Suppose 671 = 6*h - 205. Let s = h - 152. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let u be w(-5). Let s = 288 + -212. Suppose -29*b - s = 214. Sort u, b, 3 in ascending order.\nAnswer: b, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 41*j + 104 = 35 - 145, -3*j = 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48338816 to the power of 1\/2, to the nearest integer?\nAnswer: 6953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1455834112 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*(y**(-20)\/y)\/y*y*y)**(-3\/16) assuming y is positive.\nAnswer: y**(213\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 423\/21 - (-6)\/(-42). Suppose 5 = 5*o + q. Is -4 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*s - 5 - 15, -2*s = -q + 6. Let h(d) = 5 - q + 8*d - 6. What are the prime factors of h(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33717, 33295, 32591, 31605?\n\"Answer: -141*y**2 + y + 33857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 0*z = 5*a - 16, 2*z + 2 = 3*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -306, -305, -304, -303?\n\"Answer: m - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 1144?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/425 + 64\/320?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 21*o - 230. Solve -o*j + 23 = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1535 + 1536 - 13*u - 3*u)*(-14*u**2 + 0 + 21*u**2 + 1) to o + l*u**2 + w*u + b*u**3 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 54747 divided by -18249\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 890365814 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from psfpmccphmshchh. Give prob of sequence smms.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f)**(1\/26))**(3\/22) assuming f is positive.\nAnswer: f**(3\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -0*w. Suppose 0*x = x - 3, w*x = 4*h - 6. Solve -2*g - u + h*u - 4 = 0, 0 = -5*g + 3*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -637910 divided by 7010\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 288. Let w(m) = -m**2. Give w(r(n)).\nAnswer: -n**4 - 576*n**2 - 82944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13817247.57 nanoseconds?\nAnswer: 0.000000022845978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 3*y**2 - 2*y - 6. Suppose h - 5*h - 140 = -4*g, g - 3*h - 45 = 0. Calculate the lowest common multiple of g and v(-5).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3065*k - 53138 + 3068*k - 9277*k + 53138 + 3142*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-4)\/(-5)) + 1. Let i(q) = -q + 8. Let h be i(z). What is the units digit of 33\/6 + (-1)\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 21788*z**2 - 112*z - 16. Let o be x(-14). What is o rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:01 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -404 - 1?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2227983\/160 + 13925. What is the common denominator of -68\/45 and o?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 less than or equal to -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(2299) + 3)*5 - (-4*(-2 + sqrt(684) + sqrt(684)) - sqrt(684))*4) + 3)**2.\nAnswer: -10298*sqrt(19) + 1395740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2251\/8 + 292. Calculate the common denominator of (327\/(-105) + 3)*105\/(-14) and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 4)*(27*s**2 - 15*s**2 - 10*s**2 - 6*s**3) as z + t*s**2 + a*s**3 + b*s and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22446555 a multiple of 2487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -13. Solve 3 = -3*r + k, 2*r = r + v*k + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 256 - 274. Let z be 4 - (1 - -9) - r. Let x(h) = 0*h**2 - h**2 + 8 - 2 - 4*h - 5. What is x(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 4*a + 2*a + 3*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 106 - 26. Let m(r) = r - 1. Let k(l) = -2*l - 5. Let t(x) = k(x) - 4*m(x). Let z be t(-1). Calculate the greatest common divisor of i and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35239 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1669482 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -451*q - 6. Let p(g) = 1806*g + 28. Calculate 9*n(l) + 2*p(l).\nAnswer: -447*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(57\/2 + 261\/174)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 8. Let b = f + 11. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) -3 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(75) - ((sqrt(75) - (sqrt(75) - (sqrt(75) + 1))) + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {b: 2, j: 1, l: 3, g: 4, i: 1, e: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-52 - -59) - (-4 - 36).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Suppose 3*s = -z*s. What are the prime factors of 1 - ((s - 60) + -4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83938908?\nAnswer: 2, 3, 173, 40433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 13 + 3. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*i = 3*a - 2519, 5*a + 14*i + 135 = 9*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/5*(-9)\/6 + -11. Let n = 15 + c. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 39, -2, -1, 5.6?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*2592\/48*(-4)\/30.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*y = -1, 10*q - 4*y = -59 - 61 - 42 - 118 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561989861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 89.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/3369?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x = 6*x + 26. Suppose -q - 7*o + 6*o = 0, -q - x*o = 3. Solve 4*s = -q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*q + 567 = 0, p - 3*q - 2*q = 202. Suppose 3*l - 2*w = -p + 555, 2*w + 8 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88 + (-113 - -13))*(-3)\/(-378).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 13*g - o + 605, 4*g - 2400 = o. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*1)\/sqrt(2))\/(-3*sqrt(1584)).\nAnswer: -sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1254345 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.9 + -6. Let p = t - 5.9. Which is the smallest value? (a) -3\/5 (b) 1\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3*a + 42 = 0, 0 = 613980*v - 613978*v + 5*a + 76 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 42936 = 746436. What is f rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3393.1*-4.\nAnswer: 13572.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/(-51) - 248\/(-3). Let d = n - 55. Calculate the lowest common multiple of d and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.39 - -106.61. Let x = 109 - i. Let s = 9.81 - -0.19. What is the smallest value in x, -1\/4, s, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = -5*l + 7*t + 303551, t + 182117 = 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/((-1936)\/(-33)))\/(3\/(-14))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i. Let b(u) = -u. Let w(q) = a(q) + 3*b(q). Let x(h) = 14*h - 26*h + 2*h - h + 10*h. Calculate x(w(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 138702564 a multiple of 2374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**5\/20 + 2*s**4\/3 - s**3\/3 + s**2 + 4*s. Give n(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -166 + -36?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-35) - (-561)\/15. What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.4, 1\/9, -0.8?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/15)\/(2 - 468\/225)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 728 + -0.03\nAnswer: 727.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 7:16 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b6b - -2519?\nAnswer: 8286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001211 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-7) - (-1 + 4). Let u be 3*81 - (4 + h). Suppose -5*c - 60 + u = 0. What is the highest common divisor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(13) + 3).\nAnswer: 12 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 791 - 677. Is 80 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(5*i**2 + 0*i**2 - 3*i**2)*(9 + 14 - 16) as l*i**2 + d + b*i and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -68. Solve 0 = u - i, -n + 0*u + u = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*d**2 + 23*d**2 + 55*d**2 + 45*d**2 - 49*d**2 + 2*d**2.\nAnswer: 191*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*t - 33 = -4*a, -13 = 3*a + 5*t. Suppose 2205 = a*w - 5*p, -5*w = -4*p + 810 - 3564. What are the prime factors of w?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2809115 or -1?\nAnswer: 2\/2809115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + x**2 - 2*x - 8. Suppose -7*y = -6*y. Let a be u(y). Is (-70)\/3*12\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -30. Let m = 14 + x. Put -4, m, 0.02 in ascending order.\nAnswer: -4, 0.02, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686223?\nAnswer: 3, 19, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 43.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/65? (a) 4 (b) -9 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4, z = 5*d + 5*z - 74. Is 622\/12 - (-3)\/d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -223864*k**2*y + 952*k**2 + 10*k*y - 17 with respect to y.\nAnswer: -223864*k**2 + 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5966682 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 32724?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 529343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7440)\/(-2170))\/((-3)\/7*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:36 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -16. Let s be (-1)\/((-2)\/12*u). Let x be (-31)\/s + (-1)\/(-6). Which is smaller: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*y - 18982, -6253 - 6397 = -2*f + y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1451167*u**4 - 464888*u.\nAnswer: 17414004*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -115*a - 3417. Let y be z(-30). Solve 0 = -18*x - 123 + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -0.5, -9, -2.5, -3, 0.8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -2 (b) 1 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4712 and 595944?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/3)*f)**(2\/111)*(f**(-3\/2))**(-24) assuming f is positive.\nAnswer: f**(12002\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y - 80. Let s be b(9). Let q(l) = 5*l**2 - 5*l - 23. List the prime factors of q(s).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 662*h**3 + 31 - 663*h**3 + 3*h - 3*h as z*h**2 + q*h**3 + d + k*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1466, 94, -31, 0, -5 in descending order.\nAnswer: 94, 0, -5, -31, -1466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/r)**30\/(r**(-8)*r\/(r\/r**(-4\/3))) assuming r is positive.\nAnswer: r**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580 + 2217 - 9 - 2*s**2.\nAnswer: -2*s**2 + 1628","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20 - ((-10314)\/(-162) - 44\/1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1 - 12 + 311*n - 242*n. Is t(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195180 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2842776946 rounded to 5 dps?\nAnswer: -0.28428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 25 = 0, -3*b - 19 = u - 55. Let p = -48 + u. Solve 0 = -s - 2*s + p*a + 21, 0 = -5*s + a + 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -0.2. Suppose -2*j + 8 = 20*h - 23*h, -4 = -j + 4*h. Which is the closest to -15? (a) j (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose -n*i + 7*i = 3. What is the third biggest value in 2, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 7:06 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99341?\nAnswer: 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -2*j**5\/5 + j**4 - 2*j**2 + 2*j + 61. Determine i so that a(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(5))**2 + 4.\nAnswer: 4*sqrt(5) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttrqqqqttptr. What is prob of sequence rp?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28010, 55935, 83860, 111785, 139710, 167635?\n\"Answer: 27925*z + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111487*t**2 + 511*t**3 + 55771*t**2 + 55716*t**2.\nAnswer: 511*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*2\/20 + (-836)\/(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 1. Let q(n) = 4*n + 2. Let t(k) = 4*j(k) - 2*q(k). Let p(r) be the second derivative of -16*r**3\/3 - 2234*r. Determine t(p(a)).\nAnswer: 128*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/55 and 69\/236360?\nAnswer: 2599960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 + -100. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q**2 + 49*q**2 - 22*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-7515)\/9018)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + u - 1 + (-2 + 0 + 0)*(-3*u + u + u) + (3646*u + 2905*u - 119*u)*(6 - 2 - 3).\nAnswer: 6435*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32613 is divided by 1810.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 1209683?\nAnswer: 1209683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**4 - y**2 - y. Let c(t) = 3*t**5 - 4*t**4 + 4*t**2 - 5*t. Let v be (12\/24)\/(2\/(-8)). Let u(n) = v*w(n) + c(n). Factor u(d).\nAnswer: 3*d*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (17 - 1 - -16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-253)\/(-33)*18\/1. Suppose 5*q + 2*a + 26 = z, 2*a - 24 = -q. What is the common denominator of q\/99 - (-1474)\/(-72) and 10\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**2*u + 154*j**2*z + 8*j**2 - j*u*z - 2*j + 4*u*z wrt z?\nAnswer: 154*j**2 - j*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/467290 and 137\/37158.\nAnswer: 15420570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/8*12*(-6)\/(-135).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {s: 5, v: 1, k: 14}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 43*p**2 - 464*p + 6. Let j be k(-21). Let m(o) = 618*o. Let g(d) = 65*d. What is j*g(x) - 5*m(x)?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/120 - c**5\/30 + 5*c**3\/6 + 4*c**2. Let x(m) be the first derivative of s(m). Find the second derivative of x(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(77)*1*-2)\/(sqrt(7)*2*4 - 1*(sqrt(7)*4 + sqrt(7))).\nAnswer: -8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:59 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m**2 + 8*m + 3*m**2 - 13. Let r be u(-10). Solve -2*g = -r*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-9 + 4 + (2 - -3)). Solve 0*r = k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -2 (b) 3\/5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36389 is divided by 282?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1079 - 1079. Which is the third biggest value? (a) 6 (b) 8 (c) n (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*o - o - 17, 5*n - 2*o = 33. Solve -2*z - n*u = -0 - 10, 4*z - 4*u = -36 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(125))*3)**2*1 - (-5 + (sqrt(875) - sqrt(875)*-1 - sqrt(35))\/(sqrt(7) - (2*sqrt(84))\/sqrt(12)))**2.\nAnswer: -450*sqrt(5) + 4106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 482 + -482.05. Let j = -41 + 39.95. Let g = v - j. Which is greater: -0.9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {g: 1, d: 7, y: 1, i: 3, l: 3, b: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.5 + 2.5. Let p = 8 + u. Let g = p - 19.00000059. What is g rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87fc (base 16) to base 7.\nAnswer: 203331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 160 (base 7) to base 3\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01361 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*z = -43*z + 43*z - 160. Suppose 2*t = -2*t + 1360. Suppose z*b - 136 = 4*f, -t + 0 = -5*b + 3*f. Calculate the highest common divisor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/10 - 7*m**4\/6 - 2*m**3 + m**2\/2 - 200*m. Find the second derivative of a(q) wrt q.\nAnswer: 12*q - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*y - 102, -n - y + 36 = 3*y. Let b = -314\/9 + 1087\/18. Find the common denominator of b and ((-27)\/189)\/(n\/(-658)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4516 (base 8) to base 13.\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1*(-120)\/(-72). Let u(j) = -j**2 - 3*j + 1. What is u(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - 5*b - 6. Let f be j(6). Suppose 5*q + 33 + 12 = 4*v, 5*v = q + f. Calculate the common denominator of (1\/v)\/((-6)\/705) and -48\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 9) + -2 + -3 + 13 + -1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/((-4)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -9*r**2 - 5*r - 19. Let z be m(6). What is z rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + 3 + -5 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 4. Let h be (-80)\/(-920) - (-2735)\/23. Suppose 8*n - 135 = -h. Let t(x) = -x + 1. Calculate n*t(m) - k(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*y**2 + 11*y**6 - 40*y**6 + 64*y**2 wrt y?\nAnswer: -3480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 14\/3, -153, 0.1, -4\/9, -1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/1)\/((-2)\/8). Suppose 5*v + 21 = 2*z - 28, 2*z = i*v + 44. Suppose -z = 8*s - 11*s. Put 3, s, 0 in decreasing order.\nAnswer: s, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b**3 + 1 + 206*b**3 - 1.\nAnswer: 223*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-24908)\/(-1924) + 0 + (-1176)\/148.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 158*c + 1528. Determine a(11).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*s - 16 = 0, -a = -2*a - 2*s - 1. Suppose 0 = c - a*c + 16. What is the highest common factor of 16 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 8:16 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -20565?\nAnswer: 20560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -114. Suppose -5*f + 3*q = -31, -28 = -4*f + q + 3*q. Suppose -j = k - f*k. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Suppose -h*a = 3*a - 2305. Suppose 3*j + 2929 = -a. What is j rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18*(-10)\/(-300)*((-1 - -8) + -2). Let g(q) = -q**3 - 3*q**2 + 4*q + 14. Determine g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203874344?\nAnswer: 2, 47, 542219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 3279?\nAnswer: 3275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -2.\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 2*b**2 - 5*b + 16. Determine q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/32)*l)\/l*l\/(l**(-21\/2)\/l)*(l*(l**(14\/3)*l)\/l*l)**(-39) assuming l is positive.\nAnswer: l**(-7921\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.28 + 2.28. Let i = y + -4. Which is the closest to i? (a) 0.2 (b) -3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*v - 14949 - 59579. List the prime factors of v.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-21) + 3 + (-13)\/(-3). List the prime factors of 280\/(-15)*o\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -475800 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 times -0.3?\nAnswer: -79.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from yyyybypuybuyvybyuu.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0274717972 to 4 dps.\nAnswer: 0.0275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**3 + 805*r**2 + 37355*r + 533355 = 0?\nAnswer: -93, -37, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zllzzzzz. Give prob of sequence zzll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 295*b - 10 + 293*b - 21 - 144*b**2.\nAnswer: -144*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*b - 26*b + 17101. Calculate the remainder when b is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 27854126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from uuuuaauuuuuauuuuau.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*z**2 - 13*z - 1379.\nAnswer: 74*z - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -626 (b) -72 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 409 - 311. Let f = -1076\/11 + m. Solve -f - 5\/11*z - 3\/11*z**2 = 0 for z.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 5. Let w be h(-4). Solve w*x - 18 = -y - 7, -5*y + 27 = x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3 + 16*g**5 + 3*g**5 + 2*g**5 + 44*g**5 + 218*g wrt g?\nAnswer: 1300*g**3 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/20)\/4*5. What is the closest to q in 0, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a litre in millilitres?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1821 by -6.\nAnswer: -607\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 29.84. What is y rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 311 and 406477.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 238\/(-28)*48\/(-51)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13335 - 1?\nAnswer: 13334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 106106*t + 212215. Determine h(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76711 and 1517.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9450603, 9450604, 9450605, 9450606?\nAnswer: 9450607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10*u - 7679 = 0. Let h = 2171 - u. Suppose -153 + h = 3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmdmmmmmdmm. Give prob of picking 1 d and 1 m.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n + 24. Suppose 0 = 7*g - 0 - 35. Let t(d) = -7*d + 48. Give g*x(q) - 3*t(q).\nAnswer: q - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-15)*(-40)\/108. Let m = -0.08 + -0.22. Let o = 6 + -8. Which is the third biggest value? (a) v (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -83 - 21 - -33\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 88. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3682*b - 30740. Determine y(-8).\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 7. Let m be p(-7). Let n = 11 + m. Suppose -5*h + j = -6, -j = 3*h - n*j - 6. Solve 3*d = -5*w - 10, -3*d - w + 11 = h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-5)\/(-2)))\/(976\/(-3050)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2374167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3)*(2*a + 2 + 0 + 0*a).\nAnswer: 6*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2142, -4315, -6520, -8757, -11026, -13327, -15660?\nAnswer: -18025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5076 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3535 and 326735?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5*(6 + -36). Suppose v + 8 = 4*z. Solve 5 = -z*l - 5*o, -l - 4 = -o + 3*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -31, -3, -15, -5.\nAnswer: -31, -15, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 94*x**2. Let y(l) = -3*l. Determine b(y(i)).\nAnswer: 846*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952 = -8*z - 6*z. Suppose c - 282 = -z. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -11111?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5038 + 5045. Which is greater: -132 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrljrrl?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:07 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 690 = -4*t. Suppose -60*r - 423 = -t*r. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 6. Let h be (2\/y)\/(8\/84). Let g(r) = 2*r + 3. Let l be g(h). Solve 5*c = 3 + l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11758218 - -3?\nAnswer: 1175821b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428341, -428342, -428357, -428392, -428453, -428546, -428677?\nAnswer: -428852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 + 0*j**2 - 13*j**2 + (-j + j + 2*j)*(0*j + j + j) + 2*j**2 - j + j - 2 - 24*j - 21*j + 49*j + 8*j**2.\nAnswer: -3*j**2 + 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 5. Let w be l(3). Solve 7 = 3*z + 4*b, 3*z - 2*b + 0*b = w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 8*v - 3. Let n = 43 + -35. Determine h(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -484 - -18. Let y = 23 + -13. What are the prime factors of (-8)\/(-20) - a\/y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556963249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 28. Let c = 1.7 - k. Let a = c - 2.7. What is the nearest to 1 in -0.4, 3, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - -9. Suppose 0 = 2*y + 8 - q. Let a = 25 - y. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -62 (b) -2 (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -30. Let p be (-2)\/8 + o\/8. Is 2 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - i + 29, 4*i - 33 = -3*d + 5. Solve 0 = 4*v - 12, 5*c + 16 = 4*v - d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 9691340?\nAnswer: 1\/1938268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**5\/20 + v**4\/6 + v**3\/2 - 7*v**2\/2 + 54*v. Let h(k) = k**2 + k - 1. Let a(o) = -c(o) + 3*h(o). Give a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) + sqrt(6)\/sqrt(2))) + -5 - 4*sqrt(48))**2 + (-1 + sqrt(192) + sqrt(9)\/sqrt(3)*-5)**2.\nAnswer: 164*sqrt(3) + 920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d. Let x(q) be the third derivative of -q**4\/24 + 16*q**2. Let s(o) = -2*p(o) + 22*x(o). Let l(k) = -48*k. Calculate s(l(n)).\nAnswer: 96*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -7. What is the highest common factor of x and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 634509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3152882098?\nAnswer: 2, 1576441049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555245 is divided by 219?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11108171 divided by 2?\nAnswer: 11108171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:49 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 4b61?\nAnswer: 4b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nttnnnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 12, -5, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drdo when four letters picked without replacement from {o: 2, u: 1, j: 1, f: 10, r: 2, d: 3}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -49740?\nAnswer: 49739.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 23*f**2 + 6*f - 136. Let o be ((-138)\/12)\/((-105)\/(-10) + -11). Calculate u(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/23, -46, 0.5, 1\/7, -680?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11632*r - 23187. Let v be l(-2). Let p(i) = 2*i**2 + 3*i - 3. Let w be p(2). What is the greatest common divisor of w and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -325*z - z + 27*z + 13*z - 345*z as l + u*z and give u.\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -5743991 - -26083991. Round m to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 1 - 2 + 0 - k**3. Let s be f(-1). Find the third derivative of w**s - 2*w**4 + 2*w**4 + 6*w**6 - 4*w**6 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.94 + 0.06. Let q = 2 - l. Let u = -3.89 - -3.69. Which is the third smallest value? (a) q (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or -17.555?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, r: 1, a: 4, h: 2}. What is prob of sequence ara?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaamabbaaayemammba. What is prob of sequence ymb?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueuvnlu. What is prob of picking 1 u and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-15)*-2*(-972)\/(-189)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*b*b\/(b**6*b)*b**(-3\/4)\/b**(1\/7))**(-3\/41) assuming b is positive.\nAnswer: b**(999\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6735 and 61\/54.\nAnswer: 121230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1664\/(-64) - (-69)\/3. Suppose 44 = 3*q + 4*v, -3*q + 4*v = -4 - 24. Sort 0.5, q, d in ascending order.\nAnswer: d, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/10640 and -37\/860?\nAnswer: 457520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*q**3 + 1903*g*q*y**3 - 6879*q**3*y**3 - 2*q**2*y**3 wrt q?\nAnswer: 12*g - 41274*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -0.26 (b) -5 (c) 2931\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 41*f. Let m(p) = 2*p**2 - 46*p. Determine -2*m(o) + 3*y(o).\nAnswer: 2*o**2 - 31*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:26 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497 = h - 491. Let d be ((-7)\/28)\/(3\/h). Find a, given that 0*a - 3\/2*a**4 - 3\/2*a**3 - 1\/2*a**5 - d*a**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110190 equal to 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 470\/1645*(18\/(-4))\/(-3)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655419 is divided by 19860?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (13\/3 - 1\/3)*(-392)\/224\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2524863, -5049703, -7574483, -10099173, -12623743, -15148163, -17672403?\n\"Answer: 5*h**3 - 2524875*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 96*u + 887. Let c be a(86). Calculate the greatest common divisor of c and 132.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 2*v - 16. Let m be n(7). Let u = 26 - m. Let r(j) = -j**3 - 5*j**2 - 3*j - 3. Let p be r(-5). Solve -p = -u*c + 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8 = 3*p, -5*p + 32 = z + 8. Suppose 5*y - 3*y + 30 = p*h, 4*h + 2*y = 10. Factor 2*c**3 + 20*c - 21*c + 4*c**5 - h*c**5.\nAnswer: -c*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.256 + 1.256. Let p = 5.06 + -0.06. What is the nearest to -2\/5 in p, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) -4 (b) 1.6 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 9 = a, 0 = 22*j - 25*j - 2*a - 11. Let d(w) = 3*w**2 + 2*w + 7. Let c(f) = -f**2 - 1. What is j*d(n) - 2*c(n)?\nAnswer: -n**2 - 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -52*o**3 + 6*o**2 - 12*o - 3. Let y(n) = 97*n**3 - 10*n**2 + 23*n + 5. Determine -5*k(t) - 3*y(t).\nAnswer: -31*t**3 - 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8)\/v)\/(v*v*v**(-1\/3)))\/(v*v*v\/(v\/v**0))**27*((v\/v**(1\/3))\/v**(-2\/11))**(-12) assuming v is positive.\nAnswer: v**(-2470\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 178742 = 39166. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2 and 1 - (-30)\/(-24)*-13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*u - 12*u = -128. Let s(p) = -49*p**3 - p**2 - 2*p - 2. What is s(u)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1386159 and 15?\nAnswer: 6930795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 5*w + 6. Determine g(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (2*sqrt(475) - sqrt(475)))*5)**2 + -2 + 4.\nAnswer: -6750*sqrt(19) + 108902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 7:40 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/7, 20, -0.3, -25\/7, -2\/13 in ascending order.\nAnswer: -25\/7, -18\/7, -0.3, -2\/13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5 - 40370*d**4 - 120964*d**3 + 2583176*d**2 - 2421840*d = 0. What is d?\nAnswer: -20182, -10, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 31956375.79437?\nAnswer: -31956379.79437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 15. Let d be f(-12). Suppose 2*v + 10 = 7*v, -v + 254 = -d*z. Let r be (-144)\/z + 4\/14. Solve 3*q + 1 = -2*u, -4*q + r*u - 24 = -u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mup when three letters picked without replacement from dmdumdlommpumpmpllm.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppavp. Give prob of picking 1 p and 1 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.5, -24, -0.0399.\nAnswer: -24, -0.5, -0.0399, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 215 + -213. Suppose 0 = -5*s + 8*s - 18. Suppose -10*c = -s*c - 20. Solve n - 4 = -2*j, 20 = c*n + y*j - j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258162+-0.7\nAnswer: 258161.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 + 3 - 3 + 0 - 2 - 4261*k**3.\nAnswer: -4261*k**3 + 15*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 4. Let n = -6 + l. Which is the second biggest value? (a) n (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Let k = i + -3.9. Suppose 10 = 5*l + 5. Sort k, 3, l in descending order.\nAnswer: 3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14676 - -2167. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 303, 5, 42, -2 in increasing order.\nAnswer: -2, 5, 42, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1401\/10 - 140. Let r(x) be the second derivative of -5*x + 0*x**2 - q*x**6 + 0 + 0*x**5 + 0*x**3 + 1\/2*x**4. What is the third derivative of r(m) wrt m?\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6*(-21)\/14.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.103 + -0.103. Which is the nearest to 3? (a) n (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.665835s to weeks.\nAnswer: 0.0000209421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.689, -123\/7 in descending order.\nAnswer: 0.689, 0.1, -123\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 2, e: 2, g: 1, b: 2, l: 1}. What is prob of picking 1 y, 1 g, and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 + 5.97. Let z = 5.93 - c. Let d = z - -0.07. What is the smallest value in d, 3, 2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 5 (c) -0.2 (d) 0 (e) 0.4 (f) -8.46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(6\/(-12)*(-12)\/(-92)). Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128882 - -2.\nAnswer: 128884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006856 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-2\/9)\/i)*i*i**(-18)*i assuming i is positive.\nAnswer: i**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 - 2*r**5 + 0*r**4 + 4*r**5 + r**5 - 2*r**5 + 7*r**5 + 0*r**5 + 0*r**5 + (-3 - 1 + 5)*(r**5 + 0*r**5 + 0*r**5).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1053 + -c?\nAnswer: -1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 15*x - 41. Let r be s(-11). Solve 5*w - r*v - 19 = 0, -v - 17 = -3*w - 2*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(13)*-2 - sqrt(13))**2 + 0 + sqrt(52).\nAnswer: 2*sqrt(13) + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -54. Let g be ((-6)\/o)\/(3\/(-9)). Calculate the greatest common divisor of 12 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**4 - 3*k**4 - 3*k**4 + (3*k**4 + 1 - 1)*(-11 + 10 - 41 + (2 - 4 + 1)*(3 + 0 - 2)) as r*k**3 + m*k + f + h*k**2 + d*k**4 and give d.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -713179022?\nAnswer: -713179021.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111891 rounded to three dps?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*s + s - 16000002, -5*s + q = 19999998. Round s to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 4, 5, -1\/5, 22?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -12*x**2 - 45*x - 8. What is m(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -44 and 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (4 + -4 - 4). Suppose 58 = 4*m - k - s*k, 0 = m + 3*k - 6. Let f be m\/9*9\/30. What is the nearest to 0.1 in -3, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = 6*n + 22. Sort 36, n, -3.\nAnswer: -3, n, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzmffffzfacczfazzm. Give prob of picking 1 f and 1 a.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(1 + sqrt(288))**2 - (sqrt(288) - (sqrt(288) + sqrt(288) + (5 + (1 + sqrt(288) + sqrt(288) - sqrt(288)))**2 + sqrt(288)))*2)*6 + -4.\nAnswer: 3168*sqrt(2) + 17756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14994 by -357.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 20 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -1. Let y be 1\/3*s*3. Let b be 1*((-3)\/1)\/(-3). Solve -b = -5*a + y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -0.3, 1.3, 0, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in -0.5, 2\/37, 0.01, 1\/6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2146, 2144, 2140, 2134?\n\"Answer: -f**2 + f + 2146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:18 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**5 + 18510*j**4 - 2815175*j**3 - 23611580*j**2 - 15738300*j + 148148000 = 0.\nAnswer: -3848, -5, 2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + -1*sqrt(128) + sqrt(128) + 5) - sqrt(128)) + -3)**2 + 5 + ((-1 + sqrt(128)*1 + sqrt(128) - (-1 + -1*sqrt(128))) + 3)**2.\nAnswer: 272*sqrt(2) + 1358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**2 + 37*m - 129. Let x(y) = 6*y**2 - 35*y + 129. Let h(u) = -5*o(u) - 6*x(u). Let b be h(8). Let c(w) = -3*w**2 + 20*w + 9. What is c(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52639584 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88925, -89024, -89125, -89228, -89333?\nAnswer: -89440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/11 and 2334\/43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 39\/6 - (-39)\/(-30). What is the closest to -2\/5 in 0.1, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 687155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -271, -1107, -2501, -4453, -6963, -10031, -13657?\n\"Answer: -279*p**2 + p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94657 and 1133?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3*g*g*g**(-7)\/g)\/(g**10\/g**(-4\/7)))**4 assuming g is positive.\nAnswer: g**(-380\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 15 = -3*v. Suppose -3*f = -9, c - v*f - 29 - 37 = 0. Suppose 5*i - c = 40. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 2. Let j(l) = -10*l - 7. Let x(i) = -7*g(i) - 2*j(i). Let v(c) be the third derivative of c**5\/30 - 38*c**2. Give x(v(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 2*o + 1. Suppose 2*g - 32 = -2*q, q - 2*g = -5*g + 16. Suppose -5*x = v - 30, 3*x - 20 = 3*v + q. Suppose 10 = 2*j - x*j. Give w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3197 - 3196.98707. What is m rounded to 4 dps?\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*s**2 - 624*s + 311*s + 2*s**2 + 323*s to the form y + f*s**2 + q*s and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -860203.8 to the nearest one thousand.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/2 - (-1)\/(-6)*3. Suppose -10*f = -5*f, f - 36 = -x*c. What is the lowest common multiple of 6 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/6 + 107210*k + 17240976150 = 0. Calculate k.\nAnswer: -321630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s - 45*s - 72 - 70 - 4*s**2 + 3*s - 22. Let p be ((-12)\/9)\/(4\/(-6)). Let b(y) = -5*y**2 - 36*y - 165. Let j(u) = p*b(u) - 3*r(u). Factor j(g).\nAnswer: 2*(g + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 559 + -557. Solve 0 = -4*s + 3*m - m + 12, -x*s + 6 = 5*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -38*u - 56. Let r be n(-4). What is the highest common factor of 24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232220 (base 4) to base 6\nAnswer: -21452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -314830?\nAnswer: 8185580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10980 + -153617\/14. Calculate the common denominator of 18\/(-12) + 2\/(-84) and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(-1*(-1 + sqrt(162) + -2 + -3)*5 + 3))**2.\nAnswer: -47520*sqrt(2) + 82228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20373873097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**4 - 20*l**3\/3 - 17*l**2\/2 + 81*l. What is the tens digit of u(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 - (-6)\/18)\/(1 - (-2)\/(-6)). Suppose 4*a - 85 = -a. What is the highest common divisor of z and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -251.3 + -1172.\nAnswer: -1423.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19740 and 2990328?\nAnswer: 104661480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = 6. Suppose -3*d = o*m - 6, 2*d - 5*d - 6 = -2*m. Solve j + 2 + 2 = d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 318, 279, 214, 117, -18, -197, -426?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 103*q**2 - 5*q - 10. Let l be f(-3). Suppose 14*n + 106 = l. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 0.294, -1\/7, -1, -1\/62 in descending order.\nAnswer: 0.294, -1\/62, -2\/17, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 120? (a) -3 (b) 0.3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 + 5*j - 5. What is s(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-14)\/5 + -1 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55*(-4)\/20 + 13\/(13\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 8*p**2 + 8*p - 9. Let l be u(-7). Let z = 19 + l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.44 + -3.64. Which is the second biggest value? (a) 0.11 (b) v (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*x + 356, -8*h - 2*x + 1058 = -5*h. Does 32 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + s**2)*(0*s + 4*s - 3*s) - 4374*s + 3*s**2 + 4390*s - s**2 - 35*s**3.\nAnswer: -34*s**3 + 2*s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 15 - (-318 + 309)) + (-2 - -9).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 409 - 401. Let q(x) = -x**3 + 9*x**2 - 10*x + 8. Give q(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*l + 72. Suppose 4 + l = 4*b. Solve -4*i = -6*i + w - b, 3*w - 15 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -34040, 1, -13 in decreasing order.\nAnswer: 1, -1, -13, -34040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -20*z + 20. Suppose 20*q + 1802 = 64*q + 62*q. Let h(d) = 7*d - 7. Let y be 6\/(2\/4 + 1). Let l = y + 2. What is l*k(m) + q*h(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16618188.\nAnswer: 2, 3, 1384849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1968277 = -157*b + 1958857 for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 7. Let c(w) = w**3 - 23*w + 6. Let s be c(-5). Let t(j) = -1. Let i(z) = -2. Let k(a) = i(a) - 3*t(a). Determine s*k(y) - v(y).\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3\/2 + 2500625*m**2\/2 + 105032865*m\/2 + 1102868235\/2.\nAnswer: -5*(m - 500167)*(m + 21)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and 0.47.\nAnswer: -15.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**2. Let y be (23 - 35\/7) + -4. Let v(m) = -5*m + y*m + m. Calculate q(v(k)).\nAnswer: -600*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 958 + -139. Let t = b + -819.903. Let r = 0.057 - t. What is r rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 27 + 31 = 0. Let n(v) = v**3 - v**2 - 2*v + 2. Let l be n(k). Let w(z) = -2*z**2 + 2*z - l*z + 0*z. Let p(a) = -a**2. Give w(p(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3 (b) 2 (c) -2\/9 (d) -24\/325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/36)\/(-8 + 2). Put -0.3, -0.06, i, 5 in decreasing order.\nAnswer: 5, -0.06, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 0.2331386.\nAnswer: -5.5953264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 303\/18 - (-23)\/138\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 811*l = 225*l + 162*l + 80*l - 33368 for l.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 8*l**2 - l - 11. Let u be j(-8). Let n = 0 - u. Solve 2*p + 8*i = 5*i - 7, -n*p = -i - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 33*r = 40. What is the least common multiple of r and 394?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4\/3 + 12*p**3 + 182*p**2\/3 - 392*p = 0.\nAnswer: -7, 0, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Suppose 2*h + 2*f - 27 = -9, h - 3*f = -p. Let o(t) = 49*t - 27. Is o(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 37*n + 90. Let f be 21\/9*5*-3. Let u be g(f). Solve -6 = 2*l - 5*s + u, -23 = 5*l - 2*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2. Let r(h) = -983*h**2. What is r(n(f))?\nAnswer: -8847*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/57021, 1, -9, 1\/12, -1\/5 in decreasing order.\nAnswer: 1, 1\/12, -2\/57021, -1\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1114 + 1674. Does 35 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -483740, -483736, -483732, -483728, -483724?\n\"Answer: 4*s - 483744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 411733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 - 2. Suppose 5*l - 28 = -t, 4*t = 3*l + 3*t - 12. Let y be (6\/9)\/(l - 48\/9). Let b(c) = 8*c**2 - 5. Give y*b(p) + 5*j(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.024*418382\nAnswer: 10041.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168 (base 9) to base 11.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1642.6 and 1.4437.\nAnswer: -2371.42162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 8. Let l(o) = o + 7. Let w(j) = j + 7. Let f(p) = -5*l(p) + 6*w(p). Let g(d) = -7*f(d) - 6*i(d). What is the derivative of g(h) wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 4\/3 (b) 2\/13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 = m, -2*c = -3*m - c - 4. Let q = -154 + 156. Sort m, 1\/2, q in increasing order.\nAnswer: m, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*o**2 + 2735*o + 38390.\nAnswer: 5*(o + 22)*(9*o + 349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -382 + 389. Suppose k*v + 544 = 24*v. What is the remainder when 126 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1285, -2519, -3753, -4987, -6221?\n\"Answer: -1234*t - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -42. Suppose -m*p + 7*p - 20 = 0. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + 0.01. Which is bigger: -12 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875*d - 126 = 833*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 9. Let z be (5\/v)\/(5\/(-10)). Solve -z = -0*d + 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 13) + 17 - (-2 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497 = -w - 346*h - 198, 11 = -w - 4*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0390036 rounded to four decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 114*f + 4. Let z(y) = 101*y + 4. Let n(w) = -8*s(w) + 9*z(w). Let d(v) = -3*v. Let q be d(-1). What is n(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 13*a + 16. Let j be q(14). Suppose -2*c + x + j*x = -403, -3*c = -3*x - 597. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r + 2. Let o be b(2). Let z = -26.065 - -0.065. Let n = z - -25.9. What is the smallest value in o, n, -2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 57557 - 19711 + 204864. Is a a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(3 + 9\/(-6)). Suppose 3*h - 33 = 3*c, 2*c - 6*c = 4*h - 20. Suppose -43 = -4*r - 3*i, h*i = -3*r + y*i + 35. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/1944*(-16)\/((-4)\/(-2))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 - 29265978*s - 214124367074121 = 0. What is s?\nAnswer: -14632989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 5. Let g(t) = -3*t**2 + 8. Let q(r) = 5*g(r) - 8*y(r). Let o = -9 - -19. Let a(d) = 2*d**2 + o*d**2 - 8*d**2. Give q(a(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0257301 decades to years.\nAnswer: 0.257301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139\/5 - -28. Suppose -i = -y + 2, -4*y = -2*i + 6*i - 8. Let j = 0.1 - -0.3. Which is the second biggest value? (a) j (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*b, -9*b + 6*b - 32 = -2*c. Solve -4*k = -2*k - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620952887.\nAnswer: 3, 540317629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*k + 2*k. Suppose 3*j + 5*r = 31, 4*j + 7*r - k*r = 56. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 102 - 87 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1507)\/297 - -5)*(-4)\/8\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/1938*(-54)\/(63\/7)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thm when three letters picked without replacement from {h: 2, t: 1, q: 6, m: 5, b: 2}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 8) to base 6\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = 19*y. Suppose 5*m + 4*w - 419 - 161 = y, 0 = -m - 2*w + 122. Let r = 61 - 33. Calculate the greatest common divisor of m and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 122\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2636 divided by -1\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 287\/123*9\/462?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t - 8*t + 12*t - t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Suppose 0 = -2*h - h - 6. Let v(m) = -15*m**2 + 3*m + 17. Let x(a) = -5*a**2 + a + 6. Let c(z) = 6*v(z) - 17*x(z). Determine h*c(f) - 11*w(f).\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**4))*m*m*m)\/(m\/(m*m**(-8))*m))**(-22\/7)\/(m**(-3\/7)\/m*m*m**(4\/9)*m)**(-40) assuming m is positive.\nAnswer: m**(394\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 0*q - 5 - 12 + 5*q + 12. Let l(b) = b**2 - 25*b + 24. Let w(k) = 11*g(k) + 2*l(k). Determine w(-7).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38053 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 7, 1, 5 in decreasing order.\nAnswer: 7, 5, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1376783, -1377349, -1378293, -1379615, -1381315, -1383393, -1385849?\n\"Answer: -189*h**2 + h - 1376595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (189 - 308 + 128 + 63*z)*(-1 + 5 - 3) as w + c*z and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - h + 0*h)*(3 - 26 - 6) to the form j*h + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2 = -2*q, -4 = -5*q + 5*y - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1306*o**2 + 5*o - 2*o + 43*o**5 + o - 5*o**6 - 1323*o**2 wrt o?\nAnswer: -600*o**3 + 2580*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 0.55, 0.3, -1\/2, -1\/8 in increasing order.\nAnswer: -1\/2, -1\/8, 0.3, 0.55, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 31.31. Let j = n + -0.11. Which is the third smallest value? (a) 0 (b) j (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2270 is divided by 547.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*d + 9*d + 10*d + (0*d + 0*d - 2*d)*(25 - 7 + 13).\nAnswer: -53*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29820.\nAnswer: 2, 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 6*o - 4. Calculate z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwwc when four letters picked without replacement from {w: 2, r: 1, c: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -10269759\nAnswer: -51348795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -200, -403, -606?\n\"Answer: -203*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 0.08542?\nAnswer: -2.1355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17777 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10274 + 48481. Does 30 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((0 - 5) + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = -519 + 111 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 13*o - 2. Let w be x(-9). Let z = -2 - w. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 2*i - 4*i + 7 + i + i - 3*i + (-4 - 2*i + 4)*(0 - 3 + 1) + 2*i + 2 - 2 to the form s*i + k and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11223 is divided by 1600.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + t + 1. Let j(r) = -9*r**3 + 10*r + 7. Calculate j(z) - 6*u(z).\nAnswer: 3*z**3 + 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2187000 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8366591 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1321 divided by -33998.\nAnswer: -1321\/33998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 - 3*k**2 + 9*k**2 + 3*k**2 as l*k + j + g*k**2 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0*g + 0*g**4 + 3*g**2 - 1\/2184*g**8 - 1\/390*g**5 + 1\/1365*g**7 + 1\/780*g**6 + 0*g**3 + 0. Factor p(o).\nAnswer: -2*o**2*(o - 1)**2*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 - 3 - 7*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201633, -406623, -611613, -816603, -1021593?\nAnswer: -1226583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = 2*u - 0*u, 16 = -3*t + 4*u. Suppose 48 = 7*s - 36. What is the remainder when t - (-36 + (-1)\/(-1)) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 8. Let s be 8\/28 + 9*22\/42. What is f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1216) + sqrt(1216)*1*6 + (sqrt(1216)*-1 + sqrt(1216))*-4)*2 + 2)**2.\nAnswer: 2688*sqrt(19) + 1430040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115944925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65)*-4*-5 + sqrt(65))\/(sqrt(5) + sqrt(20)*6).\nAnswer: 22*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32553*l + 32424*l - 64832*l.\nAnswer: 145*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -30. Suppose 138 = 5*d + 2*x, -2*d + 4*d - 51 = -z*x. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/(30\/(-105))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 4*s**2 + 19*s**3 + 10*s**3 - 2 - 26*s**3 to the form r*s + l*s**2 + p*s**3 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287836595?\nAnswer: 5, 57567319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(2660\/(-57))*(-8)\/10\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**8\/6720 - u**7\/1680 - u**5\/20 + 3*u**2. Let d(y) be the third derivative of x(y). Solve d(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.006 in -2\/5, 2\/13, 1955, 0.1, 0.5, -40?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 884900 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 1, -4*a - 15 = p - 16. Suppose -4*b + 96 = -p*l, 4*l = -l + 20. Which is smaller: b or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 400*a + 1536.\nAnswer: 4*(a + 4)*(a + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -154*17\/(-42)*324\/306\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*h - 24*h - h**4)*(433*h + 304*h - 41 + 26 + 15).\nAnswer: -737*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7599838583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**2 + 461830*q - 296255600 = 0.\nAnswer: 646, 91720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/60 + z**4\/4 - z**3 + 132*z**2. Let g(r) = -3*r**2 - 11*r + 11. Give -11*d(i) - 6*g(i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1371716*(7 - (-29)\/2*(-2)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 541376407 divided by 740597\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -919, -104 in descending order.\nAnswer: 1, -104, -919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 346150 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -384*b**3 - 5*b**2 - 13*b - 17. Let a be o(-3). Is (-3)\/((-3)\/7)*a\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3859743 - -0.386. What is n rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/21 - 2\/((-84)\/(-31)). Sort 2, m, -3, 1.4 in ascending order.\nAnswer: -3, m, 1.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 1.1. Let d be ((-6)\/2)\/((-187)\/22 - 14). What is the nearest to m in 2\/7, 11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-2) + 12\/(-4). Let f = r - -10. Solve -4*u + 6 = -f*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5821322093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2403 and 87161883?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 27*f**5\/10 - 11*f**4\/6 + 23*f. Find the third derivative of g(b) wrt b.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 910424*a**4 - a**2 - 2164772*a + 5?\nAnswer: 10925088*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 39, 35, 17, -21?\n\"Answer: -r**3 + 2*r**2 + 5*r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(1 - 7 + 1)*((4 - 4 + w)*(1 - 2*w - 1) + 155*w + 101*w**2 - 155*w) as t + j*w + p*w**2 and give p.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q + 5. Suppose 3*s - 4*t = -37, -21 = 2*s - 3*t + 4*t. Let b(v) = 13*v + 9. Give s*n(y) + 6*b(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**2 - 404*m + 114. Determine x(45).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578952 divided by 8772.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - r**2 - 6*r**2)*(-r + 3*r - 4*r)*(-5 + r + 5).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8501 - -10761. What are the prime factors of l?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9111 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1325256.\nAnswer: 1325260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from jthjibjbjhhbjjhi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 21*b - 105. Let j be 2\/(2 - 12\/3). Let m(y) = -1. Give j*f(i) + 105*m(i).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(108\/4))\/((30\/(-6))\/5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p + 2*p + 13*p - 6*p - 9*p. Let h(l) = 259*l + 2. Calculate j(h(u)).\nAnswer: -2331*u - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -98. Let z = -29 + j. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/9*3\/4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/13 or -2?\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -7*l**2 - 3. Let v(k) = -k. What is z(v(g))?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + -18?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.03058892.\nAnswer: 0.006117784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 141*g**4\/4 + 128739*g**3\/4 + 259359*g**2\/2 + 133629*g + 5454 = 0.\nAnswer: -909, -2, -2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 118733 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2. Let m(q) be the third derivative of q**6\/120 + q**5\/30 + 13*q**2. What is 3*m(h) - 2*z(h)?\nAnswer: 3*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 88336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - a91110?\nAnswer: -a91113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. Suppose p*m - m = 12. Let d = -24 - -95\/4. Which is the third biggest value? (a) m (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 7:17 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -608 divided by -38?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 8. Let j = 2.2 - 2. Suppose -4*y + 21 = r + 8, 4*r - 19 = -5*y. What is the nearest to r in -5, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1*(-9)\/1)\/9)\/(1\/29).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 - 0.259.\nAnswer: 133.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15\/6*(-15)\/(-25)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 133\/4 greater than 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44834958 by 729.\nAnswer: 61502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -10*m + 36. Calculate c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611, -1210, -1791, -2348, -2875, -3366?\nAnswer: -3815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8749?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/85 and (-2)\/(-8) - (-9 + (-12493)\/(-1326)).\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*b + 26 = 0, b - 16 = -3*b. Factor 0 + h*m + 3\/2*m**2.\nAnswer: 3*m*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-14))\/((-3)\/(-4)) - 2812\/(-228). Solve -q + 4*p + 1 = r, 5*q + 5*p - 40 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 36. Suppose 2*c = t, -1138 = -5*v - 0*c + 3*c. What are the prime factors of v?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -361 + 363.755. Let d = 0.035 - x. Let l = d - 0.28. What is the second smallest value in 2, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/9 - 554*x**2 - 656314*x\/3 - 213434870\/9 = 0. What is x?\nAnswer: -2035, -229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*k + 299 = -r, -r + 0*r + 4*r + 22 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -20*l**2. Let y(z) = 6155*z**2. Determine y(u(n)).\nAnswer: 2462000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 99461092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3900199254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26578 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/132800 and 56\/125?\nAnswer: 664000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -1761?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z\/(z*z**(-2\/15)))\/z)\/z)\/z*z\/z**(-4\/3))\/((z*z**(3\/4))\/(z**(-4)\/z*z)))\/(z**(3\/2)\/(z\/(z\/z**(1\/8))*z)*(z**(-1\/3))**(-5\/6)) assuming z is positive.\nAnswer: z**(-2497\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**2 - 140. Let y(b) = -3*b + 32. Give n(y(k)).\nAnswer: 6*k - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-1\/31)*(b\/(b**4\/b))\/b assuming b is positive.\nAnswer: b**(-63\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2663000 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.36, 5, -4?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213834?\nAnswer: 2, 3, 157, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -236*o + 2*b - 1044, 4*o - 3401*b = -3402*b + 34 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)\/(-1) + 7. Solve 5*h + f = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 80 (b) 2 (c) -3 (d) -2\/9 (e) 57.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + -1 + (sqrt(17) + sqrt(17)*-1)*6.\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864)*-1 - sqrt(864))\/(-2*2*sqrt(3)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/23)\/(i\/i**(-24))*i\/(i\/i**(1\/17))*i*i\/((i*i**(4\/13))\/i)*i assuming i is positive.\nAnswer: i**(-112649\/5083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 3:24 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -i - s, -i + 45 + 19 = -3*s. What is the highest common divisor of i and 603?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/119 - 212\/1547. Suppose g + 0*m - 14 = 4*m, 5*g + 2*m = -40. Let n be g\/24*(-32)\/(-28). Which is the biggest value? (a) 0.2 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Let y(w) be the second derivative of 2*w + 1\/12*w**4 + 0 + s*w**2 + 0*w**3. Let q(h) = 4*h. Determine y(q(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 + -97. Suppose a*u - 5*u = 5. Suppose -7*r + 2*r = -15. What is the closest to 1 in u, -0.3, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (42*(-49)\/(-2058))\/((-5)\/(-330))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11 + 18 = 0. Solve w*b = -15 - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**5\/20 - 9*t**4\/8 + 2*t**3\/3 - t**2. Does 32 divide w(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 + 178*g - 2099. Determine q(-28).\nAnswer: -1595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 65692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 l, and 1 p when four letters picked without replacement from {p: 1, l: 5, c: 2, z: 6, y: 3}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2214\/(-30))\/(-3))\/((-2247)\/(-14)). Let v = a - -5\/107. Put -4.3, 4, v in descending order.\nAnswer: 4, v, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*m - 141482 = -137382 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432 and 644469?\nAnswer: 92803536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6727 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 30 = 8*j. Let u = -13 + 19. Are j and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 11772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00102726817 rounded to seven decimal places?\nAnswer: 0.0010273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 443001.3 millennia?\nAnswer: 4430013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 26*k - 5. Let d be q(2). Suppose 0 = 3*z - 4*g - 117, -2*z - 4*g = -3*z + d. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**4 - 19324*m**3 + 1196692*m**2 + 1623484*m + 407480 = 0. Calculate m.\nAnswer: -1670, -1, -1\/3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 220\/115 - 2\/(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*i - 2 = 0, -2*f + 3*i + 0 = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 2:56 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - 74. Let o = 1046 + -1046. Which is the smallest value? (a) -3 (b) o (c) z (d) -1\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 46725 in ascending order.\nAnswer: 3, 12, 46725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007845386345 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2607815407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 9*y + 21. Let o be ((-4)\/(-9 + 5))\/((-1)\/3). Let x be w(o). Solve x*l - 11 - 1 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1714 is divided by 195.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -5 (c) -0.013 (d) 2 (e) 1 (f) -854\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 43 + 716 = 0. Solve -l + 5 = -5*o - 4*l, -2*o + 3*l = f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -606227191 minus 15759?\nAnswer: -606242950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -4) + -3 + -2. Let z be (5 + -5)\/(v\/(-1)). Suppose 3550000 = -z*x - 5*x. Round x to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98478963071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 563301*z - 5069721. Determine p(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07609 + 74.07609. What is the nearest to k in 5\/4, -3, 0, 1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23329860 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 7*b - 4. Let i(z) = -2*z**2 + 8*z + 5. Let q(v) = 2*i(v) + 3*u(v). Suppose 8*x + 36 = -4. What is q(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 8 = -k - 12*f, -5*f = -3*k + 36. Suppose 3*g - 34 = 2*h - k*h, 0 = 2*h + 3*g - 19. Solve -4 = 2*p + 3*r + 8, -3*p - h*r = 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 139b7b5?\nAnswer: -139b7b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.054 (b) -5 (c) 7 (d) -0.021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 5. Let c be s(0). Suppose 0 = c*q - q - 4. Let k be 3\/(1 - 0) + (56 - 52). What is the highest common divisor of q and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334264051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -2, 0.36, -0.03, -5, 0.0896?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468886?\nAnswer: 2, 11, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 306848 to the power of 1\/2, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 22 = -187. Solve 4*j + g = 4*c - 17, 0 = -5*c - 2*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 55 + 12 + 3*t - 36 - t.\nAnswer: 2*t + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b**4 - 5*b**2 + 0 - 1\/20*b**5 + 0*b + 2\/3*b**3. What is the first derivative of s(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10*(-16)\/(-12)*(-5)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 60*r**2 + 359*r + 6565. Determine l(-64).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124727*p**2 + 124727*p**2 - 13*p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 3\/22, 169, 55, -6?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-7) + 4624\/(-119). Let p = 62 + k. Let a(l) = -l + 5. Calculate the remainder when p is divided by a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -48 in descending order.\nAnswer: 4, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -0.0396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32392580?\nAnswer: 2, 5, 11, 113, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3 + 505240*v**2 - 2020912*v + 2020896 = 0.\nAnswer: 2, 126306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6320 - 4?\nAnswer: -6324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/2)*p*p*p**3*p*(p*(p*(p**(-6)\/p*p*p*p)\/p)\/p)\/(p\/p**0*p) assuming p is positive.\nAnswer: p**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5277671 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9 = -w - 3*q, -3*q = -3*w - 18. Let n be (6\/5)\/(w\/(-15)). What is the common denominator of -39\/8 and 410\/72 + n\/(-8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199137591.\nAnswer: 3, 79, 379, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -6 (c) -10 (d) -0.1 (e) -1 (f) 2.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z - 45. Let k be g(-6). Suppose 22 = x + k*j, 5*x + 0*x - 3*j - 38 = 0. What is the remainder when x is divided by 7\/(42\/36) + (-4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -54711, 0.05, -1\/5 in decreasing order.\nAnswer: 3\/8, 0.05, -1\/5, -54711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-21\/4))*s*s)\/s**(9\/2))**(-1\/32) assuming s is positive.\nAnswer: s**(-11\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195945446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (3 + sqrt(275))*1) + (sqrt(275) - (sqrt(275) - (sqrt(275)*-1 + -4 - sqrt(275)))**2))*4.\nAnswer: -9976 - 460*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4 - 72. Let g be (-6)\/(-15) + s\/(-5). Let j be 2 - (g - (2 - 4)). Solve -12 = 3*t + j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 72, 183, 338, 537, 780, 1067?\n\"Answer: 22*b**2 + b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 382616 times 5?\nAnswer: 1913080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1172508 divided by 3\nAnswer: -390836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (4 - 14) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 f when three letters picked without replacement from {t: 2, o: 3, w: 3, f: 5, u: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-8))\/(1\/28). Let w be (8 + 32)\/(3 + -1). Suppose 15*u - 11*u = -w. Let r(d) = 6*d + 8. Let m(v) = 2*v + 3. Calculate b*m(f) + u*r(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011101 + -10?\nAnswer: 1011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5\/6 + 529*j**4\/6 - 4235*j**3\/6 - 279595*j**2\/2 - 272901*j + 413316 = 0.\nAnswer: -534, -36, -3, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:54 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9169*u + 119208. Give y(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x**5 - 2\/105*x**7 + 0 + 0*x - 2*x**2 + 0*x**6 + 1\/8*x**4 + 0*x**3. Find the second derivative of n(s) wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 137 and 1507.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 585616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 25, 61, 111, 175, 253?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(1\/3)))**(3\/8)\/((((o**(-6)\/o)\/o)\/o)\/(o*o**(-1\/5)*o*o)))\/((o**(-1))**(3\/5)*o**(-2\/7)*o**(-2\/3)) assuming o is positive.\nAnswer: o**(11111\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2001, 2009, 2021, 2037, 2057, 2081?\n\"Answer: 2*d**2 + 2*d + 1997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21439 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -46. Let v = -22 - k. What is v rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43624 and 17535784.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -7. Let w(q) be the third derivative of 0*q**3 + 0*q + 0*q**5 - 1\/24*q**4 + 0 - q**2 + 1\/24*q**6. What is w(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -3 + -3 + 7. Suppose -x*u = r - 23, -u = -2*r - 1 - 2. Suppose 5*o - u*o = -80. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z + 11091 = 154*z - 341*z - 3309 for z.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022925885 to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -28.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + -2. Which is the nearest to -0.1? (a) 1 (b) p (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382.3 take away -58.986?\nAnswer: 441.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9115485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - (16 - (-1 + 20))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 346569250 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/14991 and 73\/2104?\nAnswer: 119928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -79*z + 13036. Calculate d(165).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4459, -2448, -471, 1454, 3309, 5076, 6737, 8274?\n\"Answer: -3*r**3 + r**2 + 2029*r - 6486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 96 and 1181.8.\nAnswer: 1277.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49166233 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwuw when four letters picked without replacement from {w: 4, u: 6, i: 5}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*w - 3222 + 322, -4*o - 3*w + 2292 = 0. Suppose 2*f - 4*r = o, 3 = -4*r - 1. What are the prime factors of f?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q**2 - 164*q - 143. What is j(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11597*c**3*k**2 + 350*c**2*k**2 + 74*c - 71004*k**2 wrt c.\nAnswer: -69582*c*k**2 + 700*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 69, 130, 213, 324, 469, 654?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 566, 50, 68 in increasing order.\nAnswer: 50, 68, 566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3657044 + -9?\nAnswer: -3657052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u**2 - 25 + 17*u**2 + 280 - 4*u**2 - 2*u**2 in the form y*u**2 + l*u + i and give i.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 1088982300?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u*u**30\/u))\/u**(-32))**(2\/17) assuming u is positive.\nAnswer: u**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 2*k**2 + 25*k - 133. Let h be v(4). Which is the closest to h? (a) 4 (b) -2\/3 (c) 5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11557 greater than 11564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 24.2, -3, 2, 0.062, -4 in increasing order.\nAnswer: -4, -3, 0.062, 2, 24.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2)\/(-15 - -14) - -1. Is w >= -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n*(n**(3\/2)*n*n)\/n)\/n))\/n*n**(3\/5)\/n*n**(2\/25)*(n**0\/n*n)\/n assuming n is positive.\nAnswer: n**(-241\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14813 = -q - 4*h + 14994, -40 = 5*q - h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a5 (base 16) to base 14.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -122.4 and -6.157.\nAnswer: -128.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 16 = -5*s, 2*s = 6*k - 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0 + 128*h - 63*h - 25*h - 23*h - 14*h.\nAnswer: 3*h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p = 36*p - 51. Solve 0 = -k + 4, -2*h + 3*k = 3*h + p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*u*v + 7*u - 2*v - 303 wrt u.\nAnswer: -19*v + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52054 + 0.01034. What is w rounded to 2 dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24041 + -24041. Solve j = -223*o + 216*o + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 24 = -4*m, -3*i = i - m + 30. Put 3, i, -3, 0 in increasing order.\nAnswer: i, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:59 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2459\/20 - -123. Let v(b) be the second derivative of 0*b**2 + 13*b + 0 + 1\/6*b**3 + 1\/12*b**4 + y*b**5. Calculate v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 158 - 160. What are the prime factors of (-1296)\/(-9) + n*1?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 0.6 (c) -2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3270652 or -3270662?\nAnswer: -3270662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7295 - -72851\/10. Let d = -1808 + 21677\/12. Calculate the common denominator of d and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -570120*f - 11. Suppose -y = -w - 3*y - 1, 14 = -2*w + 2*y. Let j be d(w). Let x = j + -1290589. Round x to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7440 and 31420608.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*g**3 - 330*g**3 + 128*g**3.\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 129388 (base 15) in base 10?\nAnswer: 891803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2056464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -5*k - 14*z - 132, 3*k + 5*z + 27 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -304.03 - -304. What is the third biggest value in f, -1\/5, 4, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:46 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32, 40 in descending order.\nAnswer: 40, 32, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6624 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1755 and 32659065?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9173422 to the power of 1\/2, to the nearest integer?\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 2*z - 3. Let s be a(-2). Suppose -24*f**s - 30*f + 30*f + 3*f**2 + 36*f**4 - 18*f**3 = 0. What is f?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24830 > 24829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107.6 + -107. Let o = 0.1559 - -0.0441. What is the nearest to 0 in b, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4003814 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1410.2 and 33.\nAnswer: 46536.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o + 5. Let u(m) = -4*m. What is u(t(i))?\nAnswer: -32*i - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -7 + 18)\/((-102)\/(-68)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/5)\/((-5)\/(-25)). Let o be 1806\/(-15) - l\/10. Round o to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*f - 34, 5*o + 37 = 2*f - 6. What is the units digit of o\/24 + (-15215)\/(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = 2*y - 0*i, 10 = 5*y - 5*i. Suppose -4*c - c - 3*f = -24, -3*c - y*f = -18. Let u(k) = -5*k + 1 + 4*k + 4 - c*k. Give u(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20880 divided by -36?\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, -42, 0, 1025, 2 in increasing order.\nAnswer: -42, -1, 0, 2, 8, 1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -0.0656.\nAnswer: -0.03936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1413 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -45954360 divided by 6?\nAnswer: -7659060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 5*p + 2. Let g be k(5). Suppose g*u - 5*u + z = -13, -3 = 3*z. Calculate the least common multiple of u and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273342 (base 9) to base 14\nAnswer: 44965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a day in hours?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = i - 1267, -20*i = -17*i - 3*t - 3741. Suppose 4*y - 5*m - i = 124, 2*m = y - 343. What are the prime factors of y?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 2, 5, 1\/7 in increasing order.\nAnswer: 1\/7, 2, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/24, 0.5, 2\/5, 0.2, 2\/13?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95083136 and 640.\nAnswer: 475415680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3. Give c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = c - 21, 9 = -16*m + 12*m + 5*c. What is the smallest common multiple of 6\/((m\/(-6))\/9) and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/5)*k**(-10\/7))\/(k**8*k*k\/(k*k**(-17))*k) assuming k is positive.\nAnswer: k**(-1037\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q**2 + 61*q + 190. Determine s(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3*w + 21*w - 84, 0 = -5*v - 2*w + 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.41 - -1.81. Let h = 1 - a. Let q = h - -0.8. What is the closest to 2\/5 in -1, 16, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1692 and 675531.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*q = 2, 3*q = -23*u + 20*u - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -280*z**5\/3 - 1984*z**4\/3 - 1390*z**3 - 3080*z**2\/3 - 920*z\/3 - 32 = 0?\nAnswer: -4, -2, -1\/2, -3\/10, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j - 21*j - 83*j + 171*j - 21*j - 21*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/(-6)*6\/(-45) and 1\/2 + 49\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.46 less than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 18*n**2 + 8*n + 21. Let t be 972\/(-126) - (-2)\/(-7). What are the prime factors of s(t)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5206172 - -1989828. What is d rounded to the nearest 100000?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -11 (b) -1355 (c) -2 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5144 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122.69 + 45.31. Which is the third biggest value? (a) f (b) -5 (c) 0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14991 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92132 and 4588.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010001110011 (base 2) in base 13?\nAnswer: 9ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(56)\/sqrt(28))\/((sqrt(12)\/sqrt(3) + sqrt(4))*-6) - -4*(0 + -1 + sqrt(98))) + 5.\nAnswer: -4 + 671*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 81?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2\/5, -48\/13, -1, 0, 0.2?\nAnswer: -48\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46588.60600108 + 46595.606. Let j = -70 - -77. Let i = j - p. What is i rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 5010592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21341 - -20930. Sort c, -3, 0 in increasing order.\nAnswer: c, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 - (-1 + 1 + -2 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**5\/60 + 3*z**4\/8 + 7*z**3\/6 - z**2. Suppose 0 = 3*f - 4*b + 47, 13*f = 17*f + b + 31. Give q(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00657 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 + -0.02. What is the closest to 0.1 in -0.1, c, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 6*i**2 - 11*i - 6. Let u be j(-7). Let o = u - 12. Suppose 0*g - o = -5*g, v = 2*g - 1. Is 4 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 11 - 2 = -7. Sort 6, i, -87, 1 in ascending order.\nAnswer: -87, i, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 14599434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -26*u - 158. Let j(a) = 77*a + 474. Let o(g) = 3*j(g) + 8*m(g). Let z be o(-7). Sort -1, 3, z in decreasing order.\nAnswer: 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -28. Let y = 18 - p. Let d = y - -263. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 278 = -9*w + 365, -4*b - 21 = -w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*2*sqrt(1701))\/(sqrt(48) + (2*sqrt(192) + sqrt(192))\/sqrt(4)) + 3 + 2.\nAnswer: 27*sqrt(7)\/8 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -10159*h**2 + 4*h + 2419. Let w(z) = 30471*z**2 - 14*z - 7257. Let j(f) = 7*v(f) + 2*w(f). Find the first derivative of j(p) wrt p.\nAnswer: -20342*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*o - 3*o + 0*o)*(-306*o + 3681*o + 1300*o) to the form v + a*o + d*o**2 and give d.\nAnswer: -4675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 124588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.98151l in millilitres?\nAnswer: 37981.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l - 14. Let t(r) = 6*r - 17. Give -3*t(p) + 2*z(p).\nAnswer: -2*p + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/1549 and -51\/4.\nAnswer: 6196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/6535015 and 27\/50?\nAnswer: 65350150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6) + 2 + (-1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/966 and -14\/123?\nAnswer: 39606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-120)\/15*737\/(-308)?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -4*n. Suppose -2*q - 4*l + l = -80, -q - n*l + 47 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 44*p**2 + 37 - 4\/3*p**3 - 484*p. What is s in a(s) = 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/161 (b) -2\/9 (c) 5 (d) -2\/31 (e) -0.5 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*a - 8*a = 11, a = -4*p + 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (132*z**2 + 7813*z - 7813*z)*(-12 + 33 - 21 + 50*z) as j*z + d + t*z**3 + n*z**2 and give t.\nAnswer: 6600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 592157 at most 592157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5806 + -5806.3. Which is the biggest value? (a) -2 (b) t (c) -1 (d) -4\/153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -432.281 rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*m + 17 = 3*q, -q + 21 = 5*m. Suppose 4*o + 5 = -o. Which is the nearest to o? (a) 1\/3 (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5427*a**2*g + 32*a**2 + 15*a - 2 wrt g?\nAnswer: 5427*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3598878 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(242) + sqrt(2) + -2.\nAnswer: -2 + 12*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1284907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 0.0688.\nAnswer: -0.1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1545*g**2 - 3090*g**2 + 1544*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h. Let t be y(-5). Let c be 885\/90 - 2\/(-12). What is the greatest common divisor of t and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4793, -5, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 3*s**2 + s + 3. Let a(b) = -b + 15. Let g be a(11). What is the units digit of h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-1) + (0 - 1)*21. Does 6 divide -5 + (-376)\/(-72) + (-338)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*v = v + 59, -3*v - 19 = -o. What is the lowest common multiple of o and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*((-22)\/(-4) + 115\/(-23)). Let u be ((1 + -1)*1)\/(-2). Suppose -c*v + h - 15 = 4*h, u = 5*h + 25. Solve 3*q + 0*q = v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - -0.05. Let i = 0.61 - b. Let d = 2 - 5. Put i, -0.2, d in ascending order.\nAnswer: d, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 185179225 and 2?\nAnswer: 370358450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 38*k**2 + 2 + 2*k**2 - 5.\nAnswer: -36*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 712720 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225750 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(19) + -1 + 2*sqrt(19) - (sqrt(475) + 2)) + sqrt(38)\/(sqrt(242)*1) + -3.\nAnswer: -21*sqrt(19)\/11 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 2114140896.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3598, -4 in descending order.\nAnswer: 3598, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3853 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 80391.82 rounded to the nearest one thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 219380124 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-9) + 0 - (-301)\/(-129)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 6 + (-36)\/3 + (0 - -22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281175305 times -0.2?\nAnswer: 56235061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 0 - 1)*(-48)\/(-144)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 24052.22nm?\nAnswer: 0.002405222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 410 + -402. Let n(w) = -13*w**2 + 3. Let v(f) = 39*f**2 - 8. Determine m*n(c) + 3*v(c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -63840044.07 rounded to the nearest one million?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 14. Let y be k(-12). Let b = 6 - 4. What is the units digit of (-22)\/y*b + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44149288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.9403088 (b) -5.7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, 10, 373, 0.\nAnswer: -4, -1, 0, 5, 10, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -81. Let f be 11 + 32 + (0 - t). Suppose 3*d - 6*d = 0, 0 = 5*i - 3*d - f. Calculate the remainder when 12 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 9, -2, -13, -24, -35?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2262*p*u**3 + 8*p*u**2 + 2114*p + 25*u**3 wrt u?\nAnswer: 13572*p + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*i + 3*i - 7 = 0, -25 = 5*i. Suppose h = a - 58. Find the second derivative of -a*c**2 + 5*c + 61*c**2 - 5*c**5 wrt c.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/7)*m**(-9))\/(m**(-4)\/m*m*m\/(m*(m**2\/m)\/m)))**20 assuming m is positive.\nAnswer: m**(-640\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, -6, -48, -138, -294?\n\"Answer: -3*d**3 + 3*d**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 2*z = -20, 5*q = -4*z + 52. Suppose l = -l + q. Suppose 4*h = -g + 81, 0 = g + 3*h - l*h - 46. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24404024 divided by -202?\nAnswer: -120812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 x when four letters picked without replacement from {x: 4, b: 6}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -68, -163, -298, -473, -688?\n\"Answer: -20*p**2 + 5*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -112*q + 122*q. Sort -13, q, -0.1, -0.3 in increasing order.\nAnswer: -13, -0.3, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + d3a475?\nAnswer: d3a47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 - 11*o**5 - 3*o**5 + (-2*o**4 - o**4 + o**4)*(-2 + 2 - 2*o) - 8 - 44*o**5 - 5 + 11.\nAnswer: -53*o**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.4 + 2803459.\nAnswer: 2803449.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a*a**(-3)*((a**(-4)*a*a*a)\/a)**18)**(-20) assuming a is positive.\nAnswer: a**880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68 and -1145.\nAnswer: 77860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 1. Calculate v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/256*-16 + (-2814)\/2830. Is 0 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -10666 (base 9) in base 12?\nAnswer: -4143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 16*s - 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + (71 + (46 - 133) - (-14 + -1))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-2)\/t)\/t)**(-50)\/(t\/((t*t\/t**(-5\/2)*t)\/t)*t\/(t*t*t*(t\/(t\/t**5))\/t)) assuming t is positive.\nAnswer: t**(319\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 13 + 15 = 0. What is the greatest common factor of q and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2852, 11405, 25644, 45557, 71132, 102357, 139220?\n\"Answer: -2*u**3 + 2855*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -4, -2, 4\/237, 2\/5, -0.3?\nAnswer: 4\/237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 2. Suppose -3*q - 2*w = -2 + 1, 0 = -4*q - 4*w + v. Put 0.03, q, 0.01 in decreasing order.\nAnswer: 0.03, 0.01, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3652.9 + 3653. What is the fourth smallest value in -0.1, 0.17, n, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 2*k - 1 + 10*k**3 + 4*k.\nAnswer: 10*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/27 and -616 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17436 + 17436 + 14*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 699346891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 + 31*q + 4. Let m(y) = 3*y**2 - 30*y - 3. Determine -5*m(j) - 4*z(j).\nAnswer: j**2 + 26*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -123*f**2. Let r(v) = 78236*v**2. Calculate r(x(j)).\nAnswer: 1183632444*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z + 1. Let m(r) = r - 4. Let i be m(6). Suppose -5*c - 3 = -i*c. Let a = c - -2. Give l(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 216.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-27) + 1\/(6\/(-4)). What is the biggest value in -5, 0.2, g, 1\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -22*p**3 - p - 1. Let u(t) = -t**2 + 6*t - 6. Let s be u(5). Calculate the remainder when y(s) is divided by (10 - 2) + 5 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -8, -1037?\nAnswer: -1037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 8, i: 4, v: 1}. Give prob of sequence ci.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.8 - 9.2. Put -3, u, -0.02 in descending order.\nAnswer: -0.02, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 22 = -4*a, 6*a - 16 = 36*j - 35*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214742587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 422, 663, 904, 1145?\nAnswer: 1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -139, 0.31, 0.4, -4?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - s**2 + 0*s**2)*(s - 4*s + s) + 5*s**3 - 2*s**3 + 2*s**3 + (2*s - 6*s + 2*s)*(5 - 2*s**2 - 5) - 3*s**3 + s**3 + 0*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.5, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 147*m + 4523. What is the remainder when (2 - (-6)\/4)*14 is divided by n(-26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let d be b(-6). Suppose -r + d*r - 355 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -4) + (-1 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 26*q - 44*q. Solve -5 = -5*o, q*m + 2*o - o - 13 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-31185)*-275*(2\/5)\/(-1)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (1\/(-1) - -2). Let g = 305 + -271. List the prime factors of b*(-3)\/6 + g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/((-112)\/(-7))*(-8)\/(120\/(-57))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.207 - -75015933079\nAnswer: 75015933078.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2977642267?\nAnswer: 59, 179, 281947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 84 = -79 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-64))\/((-415)\/(-996))\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7236703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/16907085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7))**21\/(c**(-1))**33*(c**(-11\/3)\/(c\/(c*(c\/((((c**(-1\/9)*c)\/c)\/c)\/c))\/c)*c))**41 assuming c is positive.\nAnswer: c**(-700\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7649 > -7648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -157. Let p be ((-5)\/15)\/((-3)\/o). Is 191\/(-5)*(2 + p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - 2\/(8\/906)*-6.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -33c0450?\nAnswer: -33c0447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 3*w**8\/2800 + w**7\/175 + w**6\/100 - w**4\/40 + w**3\/3 + 4*w**2. Let b(u) be the first derivative of i(u). Factor b(j).\nAnswer: 3*(j + 1)**3*(3*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = -790*q + 800*q + 19 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v - 19. Let z be a(4). Suppose 3*j = 0, 0 = -z*w - 5*j + 18 - 3. Let 2\/5 - 2*n**2 + 8\/5*n**4 + 6\/5*n**w - 6\/5*n = 0. What is n?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o - 1. Let m(l) be the second derivative of 3*l**5\/20 + l**4\/6 + 7*l**3\/6 - 2*l**2 + 9*l - 47. What is m(d) - 4*u(d)?\nAnswer: -d**3 + 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 83 = 19. Sort -3, h, 5, 1 in increasing order.\nAnswer: -3, 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -355921*d**2. Let z(h) = 2*h. Give z(r(w)).\nAnswer: -711842*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 86, 295, 700, 1367?\nAnswer: 2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {f: 1, s: 4, y: 2, o: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 1308365243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -4, -0.3 in ascending order.\nAnswer: -4, -0.3, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a meter in centimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*q - 25 = 0, -3*t + 2*q = -2*t + 5. Sort t, 4, 2, 0.\nAnswer: 0, 2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -884 (base 12) to base 11\nAnswer: -a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b - 2*b**4 - 9*b + 5*b**4. Let h(y) = 7*y**4 + 9*y. Let i(c) = 5*g(c) - 2*h(c). Find the second derivative of i(k) wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 3*f - 4*f)*(3 - 3 - 2)*(-2 - f + 2).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 348*(5\/(-2) + 3). Suppose 0 = -19*a + 3198 + 127. Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c**2 + 0*c**2 + 0*c**2)*(-29 + 25 + 15) to y*c + r*c**2 + s and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1369.5 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 20*d**2 + 9*d - 19. Let n be p(-6). Suppose -644*h - 51 = -n*h. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-112)\/(-32)*(-4)\/(-7). Suppose 3*g = -2*m + 14, 3*g = 5*m - j*m + 24. Suppose x + 5*k + g = -14, -4*x = 4*k. Solve 2*n + x = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3685 = -147*h + 22*h + 1060. Which is the nearest to -2\/5? (a) -0.3 (b) h (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 9*y + 4. Let a be v(9). Suppose 0 = -a*c - 8632 + 48632. What is c rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 3*s + 30 = 0. Let x = 2 - 4. Sort s, 5, x.\nAnswer: s, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + h + 5*w - 16, -2*w + 8 = h. Suppose -56 = -h*g + 24. Let b(s) = 6*s - 15. Let x be b(g). What is the highest common divisor of 18 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**5 - 57*y**4 + 63*y**3 + 57*y**2 - 60*y = 0.\nAnswer: -20, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4346 - 3080. Suppose -6*i + x = 108. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x = 32*x + 63663 - 62559 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 + 285*q - 1332. Calculate r(5).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 48 - 76 = -o, 3*o + 3*s = 363. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyohhyhoohxk. What is prob of picking 1 h and 2 y?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 0 + 0 - 3*i + 5*i + 41*i + (-2 - 1 + 1)*(3*i - 3*i - i) - 5*i + 4*i - 2*i.\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/2 + 3)*5. Let q be (-2 - 0)\/(2\/(-11)). Suppose -z = -j + q. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/660*570\/(-152)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517656223 to the power of 1\/2, to the nearest integer?\nAnswer: 38957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154174.\nAnswer: 2, 7, 19, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjj when three letters picked without replacement from {j: 1, q: 1, z: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -140, -156, -188, -242, -324?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2896555774.\nAnswer: 2, 7, 2153, 96097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*f + 0 - 6\/7*f**2.\nAnswer: -2*f*(3*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*r + o + 17, -4*r - 2*o = -14. Let d = 8 - -2. Suppose 0*h + 5*z - 25 = 5*h, 2*h + 2*z = d. Put -3, h, r in descending order.\nAnswer: r, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 - 2*a**2 + 21*a**2)*(2*a - 3*a + 2*a)*(-105*a + 3*a - 36*a) as u*a + v*a**4 + w*a**2 + t + j*a**3 and give v.\nAnswer: -2898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**3\/3 + z**2\/2 - z + 2. Let c(r) = r**2 - 13*r - 4. Let x(i) = -c(i) - 2*w(i). What is the units digit of x(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -30*3*20\/(-9). Let a = 141 - 141. Suppose -d + 176 - 151 = a. Calculate the highest common divisor of d and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07899 - -0.02101. Let k = -10 + 8. Which is the closest to y? (a) 1 (b) 0.1 (c) 5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/21*(-7)\/((-2695)\/264)\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (6 + -7 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3167200 divided by -5?\nAnswer: 633440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -153 (b) 1\/3 (c) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 22*c**2 - 323 - 312 - c - c**3 + 666. Let h be j(22). Solve h*u - u + 32 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -1776 + 4680. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 280?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/3 - 556*s**4\/3 + 940*s**3 - 2840*s**2\/3 - 2818*s\/3 + 1132 = 0.\nAnswer: -283, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.56 - -14. Let h = g - 1.72. What is h rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = 6*f + 24. Let s = f - -89. What is y in s - y**2 - 2\/3*y - 1\/3*y**3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -411253 (base 6) in base 11?\nAnswer: -22647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 426959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 94*k - 99*k. Is (102 - 101) + (914 - (k - 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 275049881, 275049882, 275049883?\n\"Answer: c + 275049880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 581063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.6528382 rounded to 1 decimal place?\nAnswer: 178.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228046309 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -237, -182, -127, -72, -17?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1641*s + 26242. Give f(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Let w(y) = y**2 - 6 + 18 - 9 + 3*y**3 - 2*y - 3*y. Calculate the remainder when w(t) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 7*v + 3*v)*(4*v - 3*v - 3*v)*(-2*v - 3*v + 2*v).\nAnswer: 84*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 2*((-15)\/5 + 5).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*d + 168 = 240*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38098, 76201, 114304, 152407, 190510, 228613?\n\"Answer: 38103*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -20*m - 552. Give x(-29).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5608 divided by -4.\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18884 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Factor 2*h**n - 6*h**4 + 2*h**4 + 2*h**4.\nAnswer: -2*h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 492017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*l**3 - 258*c**2 - 4*c*l**3 + 156 wrt c?\nAnswer: 2*l**3 - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -4*x. Let y(h) = 8*h**2 + 12. Let u(p) = -23*p**2 - 35. Let f(c) = x*u(c) + 8*y(c). What is the first derivative of f(o) wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*a - 61*a - 42*a - 73*a.\nAnswer: -227*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -915 divided by -183?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1916231 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949992 is divided by 227.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = 3. Suppose 158*n = 160*n - 40. Suppose -9 = -5*b + 16. Solve 0 = k*i - s - 17, -s + b*s = -n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6941 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 241650 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*k - 54 - 152, -h = 5*k - 62. Let c = h - -12. Let q be (-2)\/(-4) - 69\/(-6). Calculate the highest common divisor of c and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**2 - 5*w**2 - 104*w + w**3 - 4*w**2 - 5*w**2.\nAnswer: w**3 + 4*w**2 - 104*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cecc when four letters picked without replacement from eckkkcekkkcck?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**6\/720 + m**5\/40 + m**4\/12 - 2*m**2. Let u(t) be the second derivative of s(t). Calculate u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -9641 (c) 4 (d) 2\/5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4151, 4148, 4145, 4142, 4139, 4136?\nAnswer: 4133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75631 is divided by 425?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(1*(sqrt(1216) + -1) + -2 + (-2*(sqrt(1216) - (sqrt(1216) + 1)) - (sqrt(1216) + 1*(sqrt(1216) - (-1 + sqrt(1216)))))))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 0, -z - 3*w = 2*z. Suppose 4*n = -z*d + 3, 2*n = d - 5*d + 4. Let m be 38 - ((1 - 0) + d). What is the highest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9979 - -9967. What is the nearest to -1\/4 in 4, 0.8, j?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2399*k + 291600 = -5925*k + 2492*k for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(5\/4)\/w*w*w\/(w**(-9)*w*w)*(w\/(w\/((w*w**(-3\/14))\/w)))\/w*w*w\/w**(-9) assuming w is positive.\nAnswer: w**(561\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + k + k + 0*k + 6*k - 5*k - k + 4*k - k + (0 - 3 + 4)*(-2 + 2 + 2*k) + 2*k + 2 - 2)*(3*k + 0 + 0).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -1033?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*w - 44, -2*w + 8 = -n - 7. Let l = n + 20. Let y be (-2)\/((-5 - -2) + l). Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 572697*t**2 + 35515863*t + 550540563.\nAnswer: -3*(t - 190961)*(t + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 77, -3, -2278 in descending order.\nAnswer: 77, 4, -3, -5, -2278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-28\/9)\/t**(-31)*t\/((t*t\/((t\/t**0*t)\/t))\/t*t)*t\/(t*t\/((t*(t*t\/t**(-20))\/t*t)\/t)) assuming t is positive.\nAnswer: t**(440\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -199\/4. Let v be (-62)\/155*(-2)\/(-4). Which is the closest to 0.1? (a) v (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**32\/((c*c**(-2))\/c)*(c\/(c**(-3\/19)*c))\/(c**(1\/50)\/c) assuming c is positive.\nAnswer: c**(33381\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -63. Suppose -5*t + w*l = -45, -5*t + l + 0*l = -29. Solve 6 = -t*g - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 + 1 + (-2 + (88 - 21) - 44)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38715, 38720, 38725, 38730, 38735, 38740?\nAnswer: 38745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 divided by 247?\nAnswer: -73\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*g**2 + g**2 - 6*g**2)*(79 - 79 - 29*g) to the form s*g + m*g**3 + i*g**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21*(0 + -2 + 1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6884*b**2*t**3 - b**2*t**2 + b**2*t + 35*b*t**3 + b - 35*t**3 - 1227*t**2 + t + 3 wrt t.\nAnswer: -41304*b**2 + 210*b - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4704\/3136 + (-47)\/2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w - 1. Let v(b) = -7*b**2 - 4*b + 8. Give 4*m(j) + v(j).\nAnswer: -3*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(170\/(-40) - 15\/60)*3\/20?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4705 is divided by 1426.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2119446 divided by -623\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(1\/4)))\/(f\/f**6))\/(f**(2\/5))**(-3\/31))**47 assuming f is positive.\nAnswer: f**(139543\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/3 - 2104*k**3\/3 - 3*k**2 + 6312*k = 0.\nAnswer: -3, 0, 3, 2104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)*5)\/(-2*sqrt(216) - sqrt(216)).\nAnswer: -5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 17*c - 3. Let v be q(4). Suppose -o - v = -6*o. Calculate the remainder when 62 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -8*p + 55. Let j(u) = -u**3 + 5*u**2 - 1. Let n be j(5). Let i = n - -5. Solve -p = -i*y + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 36 = 4*h. Put 99, h, 0 in increasing order.\nAnswer: h, 0, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038612 rounded to 5 decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 287791920 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Suppose 5*v - 42 = o*v. Let p(j) = -20*j. Calculate the remainder when p(-2) is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**5 + 6*f**3 - 2*f**2 - 24 wrt f?\nAnswer: -180*f**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2096 is divided by 269.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 71, 3\/23, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1004\/5643 - 2\/513. Let z = -2 - -2.5. What is the second biggest value in x, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 0 + (-2 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.4 + -1.6. Let s = i - -38.6. Let z = s - 2.5999961. Round z to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 4*g - 187. Suppose -8 = -4*c, c - g = i + i. List the prime factors of 4\/i - 186\/(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 28 - 2. Suppose -x = 5*f + 623, -n = 2*f + x + 225. Let r = f - -622\/5. What is the second biggest value in -0.5, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 49*b - 724. Let d be m(12). Let g = -42 - -48. Solve -4 = -2*c + g*h - d*h, 0 = -c + 5*h + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, y: 2}. Give prob of picking 1 r and 2 y.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10749825049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24473326 + 56886253 = 483*f - 322*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 3)*(12 - 14). Let v(m) = -35*m + 18. What is the hundreds digit of v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409.7 - -409.63. Let o = -7 - -11. Which is the second biggest value? (a) 3\/2 (b) m (c) 1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20122 is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 + w**4\/6 + w**3\/2 + w**2. Let u = 5 + -9. Let i be q(u). Let v(n) = n**3 - 4*n**2 + n - 1. Give v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -18\/37961 (b) 5 (c) 1 (d) -2\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = n + 33 - 4, -5*g = -3*n + 25. Let m(u) = u + 12. What are the prime factors of m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - -6. Suppose 0*m - o = -4*m. Let f(u) = 2*u + 15. What is the remainder when m is divided by f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -16*v**3\/3 - 5*v**2\/2 + 4*v - 21. Let a be b(1). Do -47\/3 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*-1 + (sqrt(24) - sqrt(1536)*-2))\/(((sqrt(280)*-1)\/sqrt(7))\/sqrt(5)).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/(-10) - (-4)\/20. Suppose u - k*p = -37, 3*u + 2*p = -2*p - 47. Let t be 6\/4 + u\/6. Put t, 1, -3 in ascending order.\nAnswer: -3, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8033 - 23167 = 120*d - 328*d. What is the remainder when d is divided by (-4)\/(-2) + 25 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 3, -6, -5, -69, -4, 6 in ascending order.\nAnswer: -69, -36, -6, -5, -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*h + 6 = 0, 0 = -2*n - 5*h + 8 - 2. Suppose 0 = -4*j + n*j + 4. Calculate the greatest common divisor of 32 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-23))**26\/(g**(-1))**27 assuming g is positive.\nAnswer: g**(-571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5451 and 6553919?\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.3 + -95.3. Let u = b - -87. Let g = 44 - 44.4. What is the fourth biggest value in -1\/4, u, g, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40305?\nAnswer: 3, 5, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-84)\/476*1\/3.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:16 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 4. Let g(n) = -n. Let c(a) = 5*g(a) - u(a). Let x(d) = 2*d - 2. Let l(i) = -4*c(i) - 7*x(i). Let v(t) = -2*t - 1. Determine -2*l(w) + 3*v(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (77\/44*15\/(-7))\/(34\/(-136)). What is the greatest common factor of d and 108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 - 10 - 7*w + 21*w**3 + 16 + 0*w - 11. Let p(m) = -7*m**3 - 2*m**2 + 2*m + 2. Let c(a) = 7*p(a) + 2*y(a). Differentiate c(n) wrt n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*m**2 + 872*h**2*m - 83*h**2 + 3*h*m + 2*h - 25473937*m**2 - 3*m wrt m.\nAnswer: 2*h**2 - 50947874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -7 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15226, -20288, -25352, -30418, -35486?\nAnswer: -40556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7168, 7164, 7156, 7144?\nAnswer: 7128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 120*q + 640 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1132 - 14?\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4, 1\/11, 5, 0.1, 22\/10237?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 90 = 330. Suppose 10*x = 2*x + d. Sort -1, -2, 5, x.\nAnswer: -2, -1, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(182)*1)\/(-4*(sqrt(7) + 1*sqrt(7)) + sqrt(7)))\/((-1*sqrt(1936) - sqrt(1936))\/(sqrt(8) - (2*sqrt(56))\/sqrt(7))).\nAnswer: -3*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(5000) + sqrt(5000) + sqrt(5000) - (sqrt(5000)*1*-6 - sqrt(5000)))\/(sqrt(110)\/sqrt(11)*1 - (1*sqrt(1000) + sqrt(1000))).\nAnswer: -110*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 914\/25571 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 5, 2, -2, 73 in decreasing order.\nAnswer: 73, 5, 2, -2, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**4 - 91*v**3 + 119*v**2 - 24*v = 0. What is v?\nAnswer: -24, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z. Let y(t) = t. Let a(c) = -f(c) - 12*y(c). Let g(r) = 36*r**2. Determine g(a(u)).\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -1 + -23 - -18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(sqrt(275) + -2*sqrt(275)) - (-4 + 6*(3 + sqrt(275)))**2.\nAnswer: -10092 - 825*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 129*v**3 + 6*v - 411*v**3)*(115*v + 108*v + 102*v).\nAnswer: -91650*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, and 2 j when four letters picked without replacement from {m: 2, r: 1, j: 4, e: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 768620589 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6080, -14466, -25160, -38162, -53472, -71090, -91016?\n\"Answer: -1154*b**2 - 4924*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/6 - 2*f**4\/3 - f**3\/2 + 7*f**2\/3 - 4*f\/3 = 0. Calculate f.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25088887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0*j**2 + 0*j**3 + 95*j + 0 - 1\/6*j**4. Let g(y) = -y - 2*y - 2*y. Give g(d(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/4 + 7*o**3\/3 + 7*o**2\/2 + 4*o - 1. Let m be d(-6). Let b(t) = -3 + 3*t**2 + 3 + 2 - 1 + t**3 + 2*t. Determine b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/5 (b) 7\/4994265 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n*n**(-8))*n\/(n**(-2\/3)\/n)*n*(n**(-1\/4)*n)\/n**(-1\/4) assuming n is positive.\nAnswer: n**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 - 5*y - 130*y**3 + 495*y**2 + 24 - 497*y**2)*(0*y - 3*y + 0*y) to w*y**3 + h + m*y**4 + v*y**2 + j*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from fnfnfnnnnn.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = l - 6, 10*y - 7*y + 3*l = -42. Let r be (-6 - y) + 25\/(-10). Factor 6*z + r*z**2 + 6.\nAnswer: 3*(z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/9)\/c*(c*c*c\/(c\/(c*c*c**(-2\/9))))\/c*c*(c\/(c**2*c))\/(c*(c*(c**(-2)*c)\/c*c)\/c*c*c))**(-26))**(-3\/5) assuming c is positive.\nAnswer: c**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 35. Let z be x(-8). Solve z - 2 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 3*u. Give n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011 (base 3) in base 2?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 29*y + 28. Calculate j(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.353 - 1.677. Let g = n + 0.03. What is the biggest value in 0.4, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + 0*r)*(-3143*r + 40 - 38 - 2 - 8904*r).\nAnswer: 24094*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/11 - 441230*n**4\/11 + 24333503492*n**3\/11 + 19911757248*n**2 + 438074544384*n\/11 = 0.\nAnswer: -6, -3, 0, 110312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8605860 and 912?\nAnswer: 34423440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 37*j**2 + 5*j + 32. Let q(y) = 35*y**2 + 6*y + 43. Calculate -4*n(t) + 3*q(t).\nAnswer: -43*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -15*d + 171. Let v(f) = -4*f + 43. Let q(u) = 2*h(u) - 9*v(u). What is the smallest common multiple of q(8) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -10 + 36*q - 1\/2*q**4 + 0*q**2 + 34\/3*q**3. Differentiate u(w) with respect to w.\nAnswer: -6*w**2 + 68*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -24*w + 242. Let f be p(10). Let v be (-1 - -1)\/((-2)\/f). Solve -3*q - 2*k + 11 = v, 18 = 2*q - 4*q + 5*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 748 and 187?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136.6 - -114. Let v = o + 23. What is the smallest value in v, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362515?\nAnswer: 5, 7, 11, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*q = -98*q + 7856. Let r = q - 976. Solve -8 + 2 = -r*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 528 and 164688.\nAnswer: 1811568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(2*sqrt(4)*-5) - (5 + sqrt(19) + ((sqrt(19) + 0 + sqrt(19))**2 - sqrt(19)) - (sqrt(133)*-2)\/sqrt(7))) + -2)*-3.\nAnswer: 63*sqrt(19)\/10 + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 106.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2542 by 8.\nAnswer: -1271\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, -188, -342, -416, -386, -228, 82?\n\"Answer: 4*v**3 + 4*v**2 - 250*v + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1141350 + -24?\nAnswer: -1141404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -120*t + 126. What are the prime factors of b(-8)?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + 6*2\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 344947 - 694947. Round n to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(95)*-1*-4 + ((sqrt(95) + 2*sqrt(95))*-3 - sqrt(95) - sqrt(95))))\/((2*sqrt(120)\/sqrt(2))\/((-2*sqrt(36))\/sqrt(3))).\nAnswer: 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 + l + 1. Suppose 2*o + a - 9 = 0, 5*a + 13 = 8. Suppose o*f = -20 + 5. Determine w(f).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -120932, -120925, -120902, -120857, -120784, -120677?\n\"Answer: v**3 + 2*v**2 - 6*v - 120929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/(-6))\/(5*(-20)\/350).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y**2 - 15*y**2 - 19*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69626?\nAnswer: 2, 31, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002048 to 7 dps.\nAnswer: -0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnbbrrnrbrnrrpntrnn. What is prob of sequence nb?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**4 + 2*d**4 + d**4)*(-3*d - 1 + 1) + 0*d**5 - 4*d**5 + 2*d**5 + (0 - d + 0)*(d + 0*d + 0*d)*(-46372 - 1399*d**3 + 46372).\nAnswer: 1400*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553 - 127*d**3 - 553.\nAnswer: -127*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15 + x**3 - 22 + 3*x**2 + 57 - 22. What is w(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(96)\/sqrt(2))\/sqrt(8))\/(-6*sqrt(200)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4\/7 - 878691*z**3\/7 + 1757391*z**2\/7 - 878697*z\/7.\nAnswer: -3*z*(z - 1)**2*(z + 292899)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7*(-9 + (-4 - 22))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:43 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 5) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 188240 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 73\/7, 3, -0.2 in ascending order.\nAnswer: -0.2, 3, 73\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqjqqjqgqngqnqj. Give prob of picking 1 n and 1 g.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 781844, 1563691, 2345544, 3127403, 3909268?\nAnswer: 4691139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 9*j**2 + 8*j + 3. Let y be z(-8). Let w(i) = 2*i - i - y*i + 0*i**3 + i**3. Calculate w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202400 (base 5) to base 4\nAnswer: -1213020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 19681493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5641059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4\/5 + 12893316*a**3\/5 + 3*a**2\/5 - 12893316*a\/5 = 0. What is a?\nAnswer: -1, 0, 1, 4297772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*n + 83*n = r - 27, 4*n - 16*r = -52 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 115*g**2 - 82*g - 28. Is d(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -946*8\/(-16)*49?\nAnswer: 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43366240 and 24104.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1684)\/(-14) + (-6)\/21. Suppose 3*j - 7*j = -p. Round j to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1024 and 108?\nAnswer: 27648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 0, 44.\nAnswer: 0, 44, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99 in -0.1, 1\/4, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -131.1 and 1232886.\nAnswer: 1232754.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b + 71 = 3*h, -3*b - 99 = -5*h. Calculate the highest common divisor of 42 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - h = 4, 2*h + 125 - 118 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/14 (b) 3\/4 (c) -0.5 (d) 0 (e) 0.5 (f) -11 (g) -4\/25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 25*m**2 - 57*m + 21. Let u be v(19). Suppose 5*b + 5*t - u = 4*t, -t = -4*b + 885. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 5:38 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4576938 divided by 5\nAnswer: -4576938\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - 6*h - 2. Let o be v(2). Suppose -3*i - o*g = -g + 200, -155 = 2*i + 5*g. Let z = 130 + i. List the prime factors of z.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -5*p - 3*o + 53, -2*p - 110 = 8*o + 38 - 0 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -126, -146, -174, -210, -254, -306?\n\"Answer: -4*y**2 - 8*y - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/5, 2\/15, -32?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 5*g + 4*g + 9*g**2 - 6*g in the form y*g**2 + v*g + r and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11aa (base 11) in base 5?\nAnswer: 22242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 16\/3167?\nAnswer: 16\/3167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = -6. Let g(f) = 9*f - 10*f + a*f. Let u(q) = 25*q**2 - 8. Let k(o) = -8*o**2 + 3. Let l(w) = -8*k(w) - 3*u(w). Calculate l(g(s)).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 786 = 2*w + u, 0 = 2*w - 0*w + 2*u - 788. Suppose -6*n = -w - 226. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 2)*(-9302)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1562.362\nAnswer: 624.9448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -609539.67 to the nearest ten thousand.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9843*b**6 - 11*b**5 - 2*b**3 - 2*b**2 + 89675*b wrt b?\nAnswer: 1181160*b**3 - 660*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.1 (c) 5 (d) -2\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -741, -1682, -3003?\nAnswer: -4704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 67?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154*f**5 - 511*f**4 + 25*f**3 - 41298699*f**2 wrt f.\nAnswer: -9240*f**2 - 12264*f + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -15*p**2 + 13*p. Let h(t) = 7*t**2 - 6*t. Let a be (5 - 1)\/(3 + -1). Suppose a*u - 3*v = -6, -u + 3*v = -2*v - 4. Calculate u*c(f) - 13*h(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 3*t = -16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x - 25*x + 12*x - 1 + 5*x. Let q(k) = -3*k - 3. What is 5*l(r) - 2*q(r)?\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 + 0*c**2 + 0*c**2)*((-c - 3*c + 5*c)*(-3 - 1 + 2) - c - 3*c + 0*c)*(2 + c - 2)*(-3*c + 3*c - 2*c).\nAnswer: 60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 + 24*b**2\/5 + 58*b\/5 + 36\/5.\nAnswer: 2*(b + 1)*(b + 2)*(b + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/3 + 1\/3. Suppose n + 8 = 4*u, -c*n + 3*u + 3 = -1. Let q(j) = -j**3 + 9*j**2 - 8*j + 3. List the prime factors of q(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3259.439 (b) -1\/5 (c) -0.56 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -37 (b) 0.3 (c) -189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 259*z = -322*z + 29640780. Is z a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/3, -1.95, 8496?\nAnswer: 8496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172321 - 75421. What is o rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, y: 3, a: 8}. Give prob of sequence yy.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 10*u)*(-3*u + 2*u - 3*u).\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1868*k**3 + 1836*k**3 - 4160*k**3 + 682*k**2 wrt k?\nAnswer: -2736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.043 times 36\nAnswer: 1.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 4*f**2 + f**2. Let t(y) = 31055*y**2 + 18*y - 1. Let v be t(2). Let o(z) = 124255*z - 4*z**2 - v*z. Determine b(o(r)).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12447979 - -180918926709\/14534. What is the common denominator of h and 91\/6?\nAnswer: 43602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/135?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 5. Calculate v(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1, -5, 17.\nAnswer: -5, -3, -2, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -942 - 2178. Round k to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2)*k)**(9\/4)\/(k**(-1\/27)*k*k**21) assuming k is positive.\nAnswer: k**(-4987\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 take away -5.47?\nAnswer: -94.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 32*w = 85. Let l = -83 + w. Solve 3*g + l = 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -420*c**3 + 19*c**2 + 57*c + 7. What is the hundreds digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 68*u.\nAnswer: 4*u*(u - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477, -918, -1359, -1800, -2241, -2682?\nAnswer: -3123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112137 is divided by 494.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.604 + -0.206. Let s = h - -4.6. Let y = s - -4.21. Which is the third biggest value? (a) -3 (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -1370\/19 = -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.34360503 rounded to 2 decimal places?\nAnswer: -9.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7353271*q**2*t - q**2 - 6*q*t + 1012*q - 109*t wrt q?\nAnswer: -14706542*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hls when three letters picked without replacement from {l: 9, d: 1, s: 1, h: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-105))\/(-8)*(-20)\/(-100)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -16 + 85\/10)*(-208)\/2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*w - 1 = -2*w, 5*h - 4*w = 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/11 - 2536*a**3\/11 + 170518*a**2\/11 - 651704*a\/11 + 641592\/11 = 0.\nAnswer: 2, 67, 1197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32363 is divided by 1470.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3\/2 + 31950*g**2 - 63899*g\/2 = 0?\nAnswer: 0, 1, 63899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 71991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-170)\/(-20) + -8)*(2 - 2)\/(-1). Sort -48, 3, -4, d, -5.\nAnswer: -48, -5, -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 - 4*j - 5 + 5 - 2*j**2 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 - 0)) + 84\/63?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 - -108. Suppose 2*w - x = -3*q, w + 8 = 2*q + 19. Solve -5*z = 4*g + g + 25, g - 2*z = w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**2 - 57*j + 23. Let h be x(11). Which is the second biggest value? (a) -0.201 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.2 - 9. Which is smaller: -7 or t?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142427 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000 + 100100100100100?\nAnswer: 100100110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 25512 + 13211 + 12701 + 4*x.\nAnswer: 3*x + 400","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*z - 43356 = 22902. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27851*q + 2226 = 27798*q for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3012102 is divided by 28962?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4172.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -178*p**3 - 208?\nAnswer: -534*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*a, 4*s + 4*a - 6 = 2*a. Let l be (3\/s)\/((-9)\/(-12)). Suppose 2*t - l*h - 19 = -1, t - 17 = 5*h. Solve -2*r + 5 = -t*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4302.12 rounded to the nearest 10?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/13)\/((-3)\/(-6)). Let z(h) be the first derivative of h**3\/3 - h**2 - 2*h - 2. Let q be z(3). Which is the closest to q? (a) -1\/5 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1679*c**3 - 1579*c**2 wrt c.\nAnswer: 10074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkokokkkkkk. What is prob of sequence kkk?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 784467.3 - 784459.199922. Let m = t + -8.1. Round m to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 253 = -48. Suppose -d - 34 = -g. Suppose -3*k - d*k = -60. Let r(t) = 3*t + 5. Let m(v) = -v - 2. Calculate k*r(c) + 15*m(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*u**3 + 4*u - 4*u - 5 + 2 wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13756520 by -8.\nAnswer: -1719565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 4. Let h(n) = -n - 4. Give 6*h(q) + 5*l(q).\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133369*u**2 - 133369*u**2 + 266734*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 5. Let r(t) be the second derivative of -5*t**3\/6 + 3*t**2 - 2*t. Let m = -4 - -8. Calculate m*b(p) - 3*r(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 7) to base 13.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1342 = 7*k - 1122. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/(-56) + 3 + (-27)\/70.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.38, 842, 3\/4.\nAnswer: 3\/4, 11.38, 842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-50) + (-673)\/5. Let m = -86 - g. Suppose w + 105 = 8*i - 3*i, 0 = -2*i - w + m. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1941068 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2974 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jej when three letters picked without replacement from {e: 1, j: 2, k: 4, m: 4, a: 2, c: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 6*j**2 - 5*j + 20. Calculate the remainder when 177 is divided by y(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 22 - (10 - 18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4054250 - 13)*(-4)\/6. Let g = 6402842 - b. Round g to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:58 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 18 = 3*m. Suppose 2*q = -3*j + 62, -1 = m*q - 5*j - 79. Is q equal to 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 381, -104 in descending order.\nAnswer: 381, 3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 183 + -167. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 87 + 111 = 0. What is the second smallest value in 33, 8, i?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -405899.52 to the nearest 100.\nAnswer: -405900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/2)\/2 + 1. Suppose 0 = 5*i - 3*b - 16, -2*i + 5*i + 5*b + 4 = u. Solve 5*o - k = -8, 5*k - 1 = -i*o + 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 + -2.4. Let y = -6 + 6.3. What is the nearest to g in y, -4\/3, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-12)\/(-576)*18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 w when four letters picked without replacement from uwxufsuuxpsxu?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 6. Let l(j) = j - 5. Let n be l(9). Let b be i(n). Let k = 1.7 + -0.7. What is the second biggest value in b, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 <= 5004775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4502 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -529 - -860. Let u = -202 + x. Calculate the greatest common factor of 43 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2401.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 774653 and 198.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - c - 3. Let k be z(0). Let y be (-8)\/k - (-3 - -5). Let p = -37\/154 - 1\/22. Put 1, p, y in decreasing order.\nAnswer: 1, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25279011, -25279019, -25279027?\n\"Answer: -8*o - 25279003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 9. Let p be (-5 - h)\/((-4)\/3). Suppose -5*w - u = p + 177, 2*u + 101 = -3*w. What is w rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1 (c) -6483584\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76846116 and 27606.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 103\/5. What is the biggest value in -0.1, f, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccrgmcmcoccmrcttttoc. Give prob of sequence goto.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 478158 - 1?\nAnswer: 478157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 63*v**2 + 2*v + 2. Let y = -106 - -45. Let s(i) = -1891*i**2 - 61*i - 61. Let d(t) = y*g(t) - 2*s(t). Let p(u) = u. Determine d(p(h)).\nAnswer: -61*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/56)\/(2\/(-3))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 15, 4*b + 2392 = 4*o - 392. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22989\/7663*9\/((-2)\/2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -58891*o**3 + 8*o**2 + 3*o + 16. Let u(b) = -4*b + 13. Let d be u(5). Let l be p(d). What is l rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 15*u - 2. Let i be a(15). Let t = -9 + 6. Calculate the smallest common multiple of 6 and ((-1 - 0)\/t)\/(i\/(-54)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + -3*1\/1. Suppose a*q = l + l, -5*l = -q. Let s be q*1\/(-4) + 4. Solve s*x + 6 + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -613*g**2 - 1. Let h(l) = 7*l**2 - 10*l + 15. Let r(v) = 3*v**2 - 4*v + 6. Let q(a) = -4*h(a) + 10*r(a). Give q(n(f)).\nAnswer: 751538*f**4 + 2452*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 157971339*i + 322584128 wrt i?\nAnswer: 157971339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -25518.\nAnswer: 102072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 760664540 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4 + 32*o**3 - 3664*o**2 - 90240*o - 165600 = 0?\nAnswer: -30, -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 10. Let k be (-3 - (p - 1)) + -5. Let d be ((-1)\/2)\/((-4)\/k). Which is smaller: d or -2\/17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 18 - 10 - 4*c - 12. Let n(i) = 3*i + 3. Let o be (-9)\/4 + (-2)\/(-8). Give o*u(h) - 3*n(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 771.6382577726.\nAnswer: -769.6382577726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = 4*m. Suppose 2*w - 113 = -5*z, -m*w - 2*w = -3*z + 73. What is the remainder when 91 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -443011 + 0?\nAnswer: -443011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m - 6. Let h be a(2). Let g be -5 - 3\/h*-2. Let c(z) = -z**2 - 6*z - 5. What is c(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 >= 384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*27\/(1296\/256).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 107, 2\/9, -0.1, 12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 6*g**2 - 8*g - 3. Let s(p) = -p - 11. Let y be s(-6). What are the prime factors of i(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.59526 rounded to one dp?\nAnswer: 15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i**3 + 1 + 68*i + 38*i + 84*i - 24*i**3 - 41*i in the form v*i + l*i**2 + o*i**3 + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.212 + -3.3. Round a to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 14336646*r**3 + 17128227530763*r**2 - 137026508405880*r + 274053475585200.\nAnswer: 3*(r - 4)**2*(r + 2389445)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i*v**4 + 8*i*v**2 - 11*i*v - 2*v**4 - 5*v**3 - 5*v wrt v?\nAnswer: -72*i*v - 48*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 5*m - 272. Let y = m + -61. Suppose -y*k + k - x = -19, 5*x = -3*k + 29. Solve -p = -2*p + k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/50)\/(4\/(-20))*(-113695)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + (sqrt(325) + sqrt(325) + 2 + (-2*sqrt(325) - sqrt(325)) + sqrt(325) + 3 - (-4 + sqrt(325) + 0 + -3)))**2 + -2).\nAnswer: -180*sqrt(13) + 808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**4\/34 + 2*g**3\/17 - 8*g\/17 + 7. Factor y(o).\nAnswer: 2*(o - 1)*(o + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -24, -74, -164, -306, -512, -794?\n\"Answer: -2*j**3 - 2*j**2 - 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1747\/11 - 159. Which is smaller: s or 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4672595 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3, 0*x + z = x - 203. List the prime factors of x.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.9 + 13. Let i = 2 + -2. Which is the second biggest value? (a) 5 (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 336 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 14*w**3 - 17*w**2 - 26*w - 23. Let s(h) be the first derivative of -5*h**4\/4 + 2*h**3 + 9*h**2\/2 + 8*h + 3. Calculate -6*n(p) - 17*s(p).\nAnswer: p**3 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55788735 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4*o + 4*i = 296, -2*i = o - 64. Suppose 3*d - 63 = 2*k + 20, 2*d = k + o. Suppose 3*b - 5*p = d - 3, -2*b = 4*p - 32. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12\/18*((-33)\/6 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3))**36 assuming s is positive.\nAnswer: s**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*7\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2021, -1\/3, 5\/3, 2, -0.4?\nAnswer: -2021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32507564 divided by 4.\nAnswer: 8126891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.4? (a) -3\/7 (b) -224 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2170*d - 8745. Give j(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -521 + 8*r + 3*r - 5*r**2 + 521 to the form t*r**2 + f + h*r and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let l = -2.3 + u. Let i be (2\/(-10))\/(-9 - -8). Which is the second smallest value? (a) l (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-527)\/102)\/(7\/3)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57758447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -308051*q**2. Let t(r) = 4*r**2. Determine t(f(b)).\nAnswer: 379581674404*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-198)\/(-308))\/(24\/(-14)))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**5\/20 - 5*u**4\/12 + u**3\/6 - u**2\/2 + 2*u. Let g be x(5). Find the first derivative of 5*t**4 - t**4 + 2 - 2*t**g wrt t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*g - 264 = 0, -3*g - 248 = 4*z - g. Are -63 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1731*g**3 - 869*g**2 wrt g.\nAnswer: -10386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2760 = -141*n + 3*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k**3 + 28*k**3 - 3*k**3 - 5*k**3 + 47*k**3 - 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 11*y**2 - 10*y - 12. Suppose -3*o = -3*l - 15, -2*o - 5 = -l - 4*l. What is n(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6903 + -6618. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*j + 68, 0*j - 4*z = -j - 1. Suppose 3*o = -0*o + j. What is the third derivative of -7*l**o + 6*l**5 + 4*l**5 + l**2 wrt l?\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/9 + 4446824*t\/9 - 1235890230436\/9.\nAnswer: -4*(t - 555853)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314472 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3038 and 58931?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, 1 y, and 1 b when four letters picked without replacement from byhbhaaaobdodyhooa?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2\/41, 0.2, -5 in ascending order.\nAnswer: -15, -5, -2\/41, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/360 - y**4\/24 + y**3\/4 + 3*y**2 + 3*y. Let r(k) be the first derivative of u(k). Factor r(g).\nAnswer: (g - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100200700 divided by 20040140.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71411048 by -34733.\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -15. Let b = v + 15. Is 74*2\/(4\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**4 - 27936*h**3 - 616044*h**2 = 0. What is h?\nAnswer: -22, 0, 9334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-2))\/((-3)\/(-6)))\/(-6 - -3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Let s(h) = -2*h**2 - h. Let v be s(0). Let o be (u + (-9)\/2)*v. Which is bigger: o or -1\/53?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/48*12)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l - 6. Let s be t(-1). Let y be 6*(5 + 54\/s). Let o be (-3)\/(4\/(84\/(-9))). Solve -o = -y*k - 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 + 10*g - 3*g - 37)*(g**2 - 6*g**2 + 3*g**2) to m*g + b*g**3 + l*g**2 + h and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 131, 125, 115, 101, 83, 61, 35?\n\"Answer: -2*t**2 + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -108, -226, -346, -468, -592, -718?\n\"Answer: -j**2 - 115*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 7:29 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 176. What is the remainder when z is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c866 - -4?\nAnswer: c86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/10)\/(1\/2). Suppose -3*n - 3*q + 27 = -p, 3*q - 39 = -4*n. Let t(y) = -y**2 + 9*y + 6. Let m be t(n). Solve 5*j - 4 = m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 + 18318\/78 - 4\/(-26). Suppose 2*h - 89 + f = k, 0 = k - 5*h - 126. List the prime factors of k.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88220 and 660?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 92610.\nAnswer: 92610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-26964)\/(-1755))\/(-14) - 1416\/(-1180)\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1720.7 - -1858. Let a = -87 - -219. Let z = m - a. Round z to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2162300?\nAnswer: 2, 5, 7, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5 + 12*j**4 + 42*j**3 + 52*j**2 + 21*j = 0. What is j?\nAnswer: -7, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-32) - 3\/(-8)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.6 in -0.5, -5, 6971\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -520 (base 7) in base 16?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 182967898.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6915 times 2062?\nAnswer: -1425.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1339, 5345, 12015, 21343, 33323?\nAnswer: 47949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7819, 0.3, -3\/8 in ascending order.\nAnswer: -3\/8, 0.3, 7819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 9*m - 292. Calculate the smallest common multiple of m and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36454 + 63979. Is s\/18 + ((-15)\/(-18) - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Let t be (-3)\/(-2 - i)*6. Let v be 0 + -4 + t + 26. Calculate the greatest common factor of v and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 97 = -4*k + 3*r, 3*r + 125 = 5*k. Let g = 2 + k. Suppose f - 9 = -w, w - 6*w = 2*f - g. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -884, -349, 544, 1795, 3404, 5371?\nAnswer: 7696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 942969011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 48\/24*2\/8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -9*a**4\/5 - 12*a**3\/5 + 48*a**2\/5 + 48*a\/5 - 48\/5 = 0.\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/2*(-2)\/5. Let k = 45 + -28. Suppose -5*j = -8 - k. Solve -j = t*z + 3*h, -2*h + 2 = -z - 3*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 10*o - 200. Let b = o - -42. Solve 6 = b*x - 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 7986791*b\/3 - 7986790\/3.\nAnswer: -(b - 7986790)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -116, -578, -1342, -2402, -3752?\n\"Answer: x**3 - 157*x**2 + 2*x + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7017419 is divided by 143.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -de7 + 5?\nAnswer: -de2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20012 (base 3) to base 5.\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 7*u - 1 = -o, 5*u + o = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 698185, 1396352, 2094519, 2792686?\n\"Answer: 698167*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -135686 - 1465?\nAnswer: -137151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176 = -9*n + 471. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 8:54 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (21 - (-29 + 22)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 7:30 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*o - 2720 = -6*o + 116*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 195 = j, 369 = 2*x + 2*x - 5*j. Solve 0 = -91*t + x*t - 5*a - 5, 3*t = -4*a + 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 4*t + 5. Let x be y(5). What is the tens digit of 9 - (-1 - x\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 - 3447666?\nAnswer: -3447622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**7\/35 + r**5\/10 + 7*r**2. What is the third derivative of h(l) wrt l?\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**5 - 310*t**4 - 14414*t**3 - 163010*t**2 + 835088*t - 897800 = 0.\nAnswer: -67, -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Let i = -17 - -19. Let j(t) = -35 + t + 17 + 18 - t**i. Give j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*j**3*y - 4*j**3*z - 5*y*z + 76*z with respect to y.\nAnswer: -25*j**3 - 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -3, 7 in decreasing order.\nAnswer: 7, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:28 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/131 and -2\/38825.\nAnswer: 5086075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*j + b + 3*b, 10 = -2*j + 2*b. Solve 4 = -2*o - j*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 + 0*p**2 - p**2)*(3*p + 5*p - 5*p)*(0*p + 0*p - p**2).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q - 2*q. Let k be -1 - (-1 + (q - 1)). What is the second biggest value in k, 3, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:18 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-2) + -5)\/((-70)\/175). Does 2 divide 6*q\/4 + -2 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1204*s + 4700 = -573*s - 537*s for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**41*g**23*(g*((g\/g**36*g)\/g)\/g)\/(g\/g**(-43)))**48 assuming g is positive.\nAnswer: g**(-720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55490208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -473.51, 11, -5, 32?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2502 + -2500. Which is the nearest to -1? (a) -20\/7 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55473.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 981 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -50059149 bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 3*a**4 - 4*a**4 + (-2 + 3 + 0)*(7735*a**3 - 7735*a**3 - 4 + 122*a**4) to o*a + h*a**3 + m*a**4 + x + b*a**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3019, 3027, 3035, 3043?\n\"Answer: 8*b + 3011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 1. Suppose 7 = -2*n - 13. Let t(z) = -z**2 + 6. Let x(k) = n*o(k) + 2*t(k). Differentiate x(a) wrt a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102212122121110 (base 3) in base 4?\nAnswer: -120010313211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101200001020 (base 3) in base 14?\nAnswer: -5674d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -2\/11, -348?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (20 + (12 - 35) - -38)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 141*r**3 + 259*r**3 + 2*r**2.\nAnswer: 400*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2)*(-30)\/10)\/(-33*(-21)\/6006)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 474, -5, 0, -2.\nAnswer: -5, -2, 0, 1, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(14\/3)\/f**13*f**(5\/4)\/(f\/(f*f*(f**(-8\/5)\/f)\/f)) assuming f is positive.\nAnswer: f**(-581\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) -5 (b) 6\/73 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-1))\/a)\/a**(-2\/3)*a\/(a\/(a*a**5))*(a\/(a\/(a*a\/a**(-5\/2))*a))\/a)**(-3\/16))**41 assuming a is positive.\nAnswer: a**(-2009\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 17*o - 17. Let v be k(8). Let h be (-1 - 3)*(v + (-483)\/(-56)). Factor 1\/4*y**2 + 9\/4 + h*y.\nAnswer: (y + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 7*o = -4, 0 = -v + 10*o - 6*o + 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -401620, -1606477, -3614572, -6425905, -10040476, -14458285?\n\"Answer: -401619*f**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-282)\/45*(-1320)\/(-88)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -10 (b) 4 (c) -2\/5 (d) -2\/7 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 3*x - 3. Let y = -4 - -7. Is s(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -13*g**3 - g**2. Let q = -31 - -32. Suppose 3 = 2*c + q. What is b(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255401 and 4559.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10470410.\nAnswer: 2, 5, 1047041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**2 - 7700*i + 3944*i + 3773*i.\nAnswer: -31*i**2 + 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*c = 0, 3*h - c = -3*c + 7. Let y be (-1274)\/(-2) + ((-3)\/(-1))\/h. Suppose y = 5*m - 417. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-25*(-1 - 0). Let f = w - 13. What is the smallest common multiple of f and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 82 - -2*3\/2 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-1)\/(965\/(-320) + 3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + d - 4. Is g(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4\/4 - 7*u**3\/3 - 2*u**2 + 7*u - 10. Let b be n(-6). Let i(d) = -d + 2. Give i(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 65*o - 8164. Let w be a(126). Calculate the greatest common factor of 40768 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5900 and 3776.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(sqrt(187)*-1*-1 - sqrt(187)))\/(-1*-4*sqrt(22)\/sqrt(2)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -19321, 3 in decreasing order.\nAnswer: 3, -2, -19321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - r - 60. Let j be a(0). Let x be (1\/2)\/((-10)\/j). Solve 5*z - x*z - 4 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l. Let o(g) = -7 - 7697*g**2 + 9 + 7694*g**2 - 41. What is o(y(i))?\nAnswer: -588*i**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5376*z**3 + 1537*z**3 - 5420*z**3 - 1510*z**3 + 2054*z**3.\nAnswer: -8715*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7458 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/(-8)*4\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1022100011 (base 3) to base 11\nAnswer: -183a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 0.5166, -2.2?\nAnswer: 0.5166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b0 - -87c5?\nAnswer: 8615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*y**4 + 1 - 35*y**4 - 7*y + 2*y**3 + 11*y**4 + 19*y**4 as x*y**3 + i*y + l*y**4 + g*y**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 7042.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 53, -16 in ascending order.\nAnswer: -16, 10, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -20. Suppose p = l - 0*p - 12, 3*l - b = 4*p. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-3) + (390\/30 - 205\/15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7138 is divided by 3566.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*r + 62*r + 45*r + 5*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29361198 to the power of 1\/3, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(3*(-2 + 1)))\/(-1). Let q(j) be the second derivative of -j**3\/3 + 9*j**2\/2 + 2*j. Let h be q(6). What is the closest to -2 in f, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 78 = -6*j. Let g be (-4)\/(-26) + 61926\/j. Let r = 488 - g. Round r to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/14799 and -28\/3?\nAnswer: 14799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 6*m + 20. Sort 2\/9, -2\/17, m, 3\/7.\nAnswer: -2\/17, 2\/9, 3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 11. Suppose -a*z = 2*z - 200. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(-12) + -36 + 31\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 30. Let n(p) = p + 12. What is 5*l(r) - 12*n(r)?\nAnswer: -2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 4*n + 2. Determine x(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 9477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(21)\/sqrt(7) + sqrt(3))*4 - ((sqrt(3) - (0 + sqrt(3))) + 0))**2 - (sqrt(432)*-1)\/((sqrt(81)\/sqrt(3))\/sqrt(3))).\nAnswer: 20*sqrt(3) + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347618.\nAnswer: 2, 179, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 240\/400 - (-73)\/(-5). Let r(l) = 18*l. Let d be r(1). Let w = d + s. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(3\/2)*o*o*o\/(o\/(o*o\/o**(-1\/37))))\/(((o*(o**(-5)*o)\/o*o)\/o)\/o*o**(3\/5)) assuming o is positive.\nAnswer: o**(4413\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 19*r = 56. Let c(b) = -9 + 32 - r - 2*b**2 - 13 - 4*b. Let p(y) = y**2 + 2*y - 1. Determine 6*c(s) + 11*p(s).\nAnswer: -s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 39. Let i(o) = 3002*o - 4256. Let z(p) = -38*d(p) + 2*i(p). Find the first derivative of z(s) wrt s.\nAnswer: 6042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/11 + 20975476*h**2\/11 + 20975474*h\/11.\nAnswer: 2*h*(h + 1)*(h + 10487737)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 205, 82736 in decreasing order.\nAnswer: 82736, 205, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaacccacaaaccaa. What is prob of picking 2 a?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6216*b. Let i(a) = 2*a**2. Determine i(j(t)).\nAnswer: 77277312*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -6. Let m be -3 - (-5)\/((-135)\/4368). Let d = -165 - m. What is the biggest value in d, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1164 greater than -19767\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 = 20*i - 37*i - 7*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + o + 3*o)*(-1 + 1 + 2*o**2 + (6*o**2 + 2*o**2 - 3*o**2)*(4 - 3 - 2)).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8*m + 5*m = 585, 0 = 5*m - 20. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0 + 35. Let t = 349 + -349.1. Which is the second biggest value? (a) t (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q. Let h(r) = -81*r. Give h(j(z)).\nAnswer: 648*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 61*v - 496. Give p(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396428 divided by -4.\nAnswer: -99107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:16 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69 + 70 - 137 - 432*r)*(-4*r**2 + 4*r**2 + 2*r**3) to the form x*r + t + b*r**3 + g*r**4 + j*r**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 2*h**5\/5 + 310*h**3\/3 - 5570*h - 4750. What is the derivative of j(a) wrt a?\nAnswer: 8*a**3 + 620*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27957894 and 1460487?\nAnswer: 195705258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-176)\/1144 - (-3226)\/13. Let y(p) = -19*p**2 - 2. Let j be y(3). Let x = j + c. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 + 3.93. Let m = 216\/707 - 2\/101. Which is the nearest to m? (a) -3\/4 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25756*a**3 + 10665*a**3 + 13058*a**3 - 2.\nAnswer: -2033*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174330*r**5 + 2*r**4*z**2 - 186*r**2*z**2 + 15*r**2*z + 8*r**2 + 1 wrt r?\nAnswer: 10459800*r**2 + 48*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by -7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/105502? (a) 0 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 + 1110?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 9*k**2 - 12*k - 110. Calculate a(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/5 + 12402*x\/5 - 226476 = 0. What is x?\nAnswer: -6291, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 10:29 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 10) to base 9\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -52, -105, -182, -289?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -427, -537, -641, -739, -831, -917?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6329 - 6330. Suppose -6*h + h = -25. Put h, -6\/11, 13, f in increasing order.\nAnswer: f, -6\/11, h, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -265, -259, -263, -283, -325?\n\"Answer: -x**3 + x**2 + 10*x - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1294601 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5757 + -5758.2. Let y be (-3)\/30*(-10)\/4. Which is the third biggest value? (a) y (b) -0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507922 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.032 * -2.2.\nAnswer: 0.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 81919 - 2*r**4 - 9*r**4 - 6*r**2 - 81917 in the form j*r**2 + l*r**3 + d + x*r**4 + n*r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 3*c + 2*c + 3*c)*(-56 - 18 - 51).\nAnswer: -375*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4119.5 - 4119. What is the nearest to -0.11 in -1.1, 0.4, l, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5215446 divided by 3438?\nAnswer: -1517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 26 + 26 - 32*x.\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5795515 and -0.2858.\nAnswer: 5795514.7142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 235572 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*y - 1 - 191*y - 227*y.\nAnswer: 23*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42408 and 12483?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11*w = -310. Let b = w + -25. Suppose 0 = -2*r - 5*q - 13, 3*q - 7 = -5*r + 8. Calculate the greatest common divisor of r and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -365 - 103. Let r = 467.99578 + x. What is r rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/9)\/(-34*12\/(-16))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1. Let d(l) = l - 1. What is 7*d(t) - 6*o(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 33*p**2 - 30*p - 35. Let z be t(32). Suppose 15*u - z = 16. Solve y = u*o, -3 = 2*o + 2*y + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 106, 116, 128, 142, 158, 176, 196?\n\"Answer: i**2 + 7*i + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/36 - 13\/((-1872)\/(-32)) - 2600\/36?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 267*q**2. Let t(d) = -40*d - 1. Give x(t(w)).\nAnswer: 427200*w**2 + 21360*w + 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290306 is divided by 561.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.51 - 0.49. Let s = 0.013 + 2.867. Let l = s + 0.12. Which is the closest to x? (a) -3 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:22 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*a - a. Suppose 2*q + 2*y - 4 = 0, -a = -2*q - 3*y - 4. Suppose 3*h + h - 55 = q*i, -h + 17 = 2*i. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6710 or 188?\nAnswer: -6710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-1)*-2*2436\/(-63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*u - 10 - 132, 0 = -2*j + 3*u + 72. Solve -102*p - 96*p**2 - 3*p**4 - 13 + 18*p**4 - j*p**3 - 48*p**2 - 2 + 0*p**4 = 0 for p.\nAnswer: -1, -1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.7401 years to millennia.\nAnswer: 0.0647401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 f, and 1 g when four letters picked without replacement from {a: 6, m: 3, g: 3, o: 2, f: 3}?\nAnswer: 27\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {e: 1, u: 8, o: 1, l: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 3, i: 4, w: 5, n: 6}. What is prob of sequence sjj?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*w**3 - 17422*j*w - 5*w**3 + 146906*w wrt j.\nAnswer: w**3 - 17422*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.8 + -267031945.\nAnswer: -267031940.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 34*b - 5. Let j(q) = -84*q + 13. Let d(l) = -161*l + 25. Let s(a) = -7*d(a) + 13*j(a). Calculate 6*k(y) - 5*s(y).\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*d + 15 = 0, 2*d = 5*q + 1 + 5. Suppose 4*n - 6 - 16 = 3*t, -4*n + 14 = t. Sort 1, q, n, -5.\nAnswer: -5, q, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 709.3689 kilograms to grams.\nAnswer: 709368.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 555044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -1186?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2527 or 0?\nAnswer: 2\/2527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**34*(b*(b*b**(2\/15))\/b)\/b*b*b**(-47)\/b*b\/(b\/(b**(-2\/5)\/b)))**25 assuming b is positive.\nAnswer: b**(-1070\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0 - 9*f - 3\/2*f**2 + 7\/6*f**3. Differentiate r(d) with respect to d.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/18 and -23\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**2 + 760*t - 740. Let g be z(94). Let s(k) = 2*k**2 - 25*k + 27. Calculate s(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 16, 45, 86?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 51 (b) -1\/12 (c) 72 (d) 2\/21 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 1, w: 3, b: 6, l: 3}. Give prob of picking 1 l and 1 b.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 262 from 299.3719.\nAnswer: 37.3719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122099 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 3)\/((-4)\/(-14)). Let j(v) = a - 7 + v**2. Let s(b) = 4*b**2. Determine s(j(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 909490508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2120 + -2122. Is 432 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 480090150 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1700) - -6*(sqrt(17) + 1 + sqrt(17))**2.\nAnswer: 4*sqrt(17) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 68. Let k(v) = -3. Determine 88*k(h) - 4*x(h).\nAnswer: -8*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167848 is divided by 552.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3 (c) 4 (d) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 719*h**4\/4 - 794*h + 1035. What is the first derivative of v(u) wrt u?\nAnswer: 2157*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 - 0 - (2 - 1). Suppose y - h = -y. Suppose -y*v - 96 = -316. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3106, -2993, -2630, -1885, -626, 1279, 3962?\nAnswer: 7555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {l: 7, r: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h**2 - 2*h. What is the units digit of i(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 1728 = -0*u. Let l = u + 192. Solve 40 = -5*f + 5*y, l = -5*f - 5*y + 2*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*8\/84. Sort 3\/5, v, 0.3, -3\/4 in ascending order.\nAnswer: -3\/4, v, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825555 - 5382936 + 314688 = -39*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.6 + 38. Sort f, 7, -7.\nAnswer: -7, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -49, -105, -195, -331, -525, -789?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -29. Suppose -3*g - 3 = -6*o + o, 5*g - 4*o = -5. Which is the nearest to g? (a) -3 (b) l (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 11*w**3\/6 + 35*w**2 + 23*w. Let q be d(-6). Let c be 3 - (q - 5) - 5. Sort 1, c, -12.\nAnswer: -12, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 7*f**2 - f - 2. Let h be v(-7). Suppose 20 = -i + h*i. Sort 3, 4, i in decreasing order.\nAnswer: i, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819 divided by 88594?\nAnswer: 1819\/88594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 11 - 61. What is the remainder when 73 is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -82b3?\nAnswer: 82b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2109, -1\/46 in decreasing order.\nAnswer: -1\/46, -1, -2109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1042, -6769, -22250, -52339, -101890?\nAnswer: -175757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 26*j - 369. Calculate f(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -424 (base 5) to base 16.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374880 is divided by 417.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6370 (base 11) in base 7?\nAnswer: 33365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229776460321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-15))\/((-2)\/(-5)). Let y be -3 - (-28 - k\/(-2)). Suppose -2*l + 3*g = 2 - y, 4*l - 52 = 4*g. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 9. Let v = -2 - w. Suppose 0*z - 25*z = -25. Solve v*s - 3 + z = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 871404.\nAnswer: 1\/871404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11532 - -462\nAnswer: -11070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i - 3*m, 4*i - 5 + 1 = 2*m. Let k(x) = -4 + 9*x**3 - x - 10*x**3 - 2*x**i + 5*x**2. Give k(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114532*y - 2*y**3 + 114598*y - 229126*y.\nAnswer: -2*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 5, v: 1, b: 4}. Give prob of picking 1 v and 1 u.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006421 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5960?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.6 (b) -12\/11 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(6)\/sqrt(2))**2)*4 + -3 + sqrt(9)\/sqrt(3).\nAnswer: -15 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.3787 times 0.5?\nAnswer: 29.68935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 27 + -9 + -7 + (4 - (-2 + -26))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 - 70. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.469786 hours to seconds.\nAnswer: 34091.2296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153*z**2 - 158*z**2 + 640*z + 313*z**2 - 85*z**3 wrt z?\nAnswer: -510*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - t - 36. Let m be r(0). Let q be (-30)\/4*m\/30. What are the prime factors of q + 6 - (0 + -4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*v - 1)*(0*v - 2*v + 3*v)*(1 - 3 + 4).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i + 8 = -4*s, s = 2. Does 13 divide 30 + i*(-5)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4*(-21)\/56.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 3*s + (-s - 2*s + 4*s)*(-2 + 2 - 2) + s - 1 + 1 + (4 + 1 - 2)*(-2*s + 0 + 0).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 3 + 0*v**3 - 1\/2*v**6 + 0*v + v**2 + 0*v**5 + 0*v**4. Find the second derivative of i(o) wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -6. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*i**3 + 578\/5 - 357\/5*i + 36\/5*i**2.\nAnswer: -(i - 17)**2*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13129792 rounded to the nearest 10000?\nAnswer: 13130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102 - 14*a + 70 - 195 + 98 to y*a + k and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.02, -16937, 3, 1.\nAnswer: -16937, -3\/5, 0.02, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1269*y + 32 = 1261*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22416 divided by 4\nAnswer: 5604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/1199 + -802159\/8393. Let y = u + 95. Let g = 132 - 662\/5. Put g, y, 0.3 in ascending order.\nAnswer: y, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 51 = 5*f, 7*d - 3*d + 4*f = 36. Let g = -15 - -9. Let b = d + g. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 4*j - 4*j + (12*j - 9*j - 26 + 12)*(-10 - 5 + 5).\nAnswer: -33*j + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88504529, -88504528, -88504527?\nAnswer: -88504526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*v - 2*g - 28, 12 = 4*v + g. Suppose -t + 2*w + 12 = 3*t, -5*t + v*w = -18. Factor -2\/5*f**3 + 0 + 0*f - 2\/5*f**t.\nAnswer: -2*f**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-282)\/940 - (-903)\/10. Solve 72*k = 87*k + f for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9062 - -18752. What is the greatest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5221, 9960, 14699, 19438, 24177?\nAnswer: 28916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/18*13*(-11 + 10).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 26 = 4*y, -27*y = -28*y + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1.1. Let j = -0.9 + d. Let v = 150 + -1499\/10. Which is the third biggest value? (a) v (b) j (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 133, 70, 15, -32?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i - 39. Determine p(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340 and 306.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -209, -441, -659, -857, -1029?\n\"Answer: q**3 + q**2 - 242*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -25, -55, -107, -187, -301?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7453414.\nAnswer: 2, 379, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*l - 5549 - 5497 = -135*l + 196*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 153*s**2.\nAnswer: 153*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 93 + 0*n**2 + 0*n**3 + 7\/4*n**4 - 42*n. What is the derivative of q(l) wrt l?\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 1. Let n = 180 - 174. Suppose n*p = 7 + 11. Let m(k) = 0 + 2 - k + 3. What is p*d(w) + m(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57332472.\nAnswer: 2, 3, 1481, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 16*w**2 + 21*w - 19. Let f be x(-20). Which is smaller: f or 1156?\nAnswer: 1156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38103551 times -0.17\nAnswer: 6477603.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5265*f - 5265*f + 14*f**2 - 8.\nAnswer: 14*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -326c (base 14) in base 9?\nAnswer: -12858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31533 less than 31530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 638.2249 millennia?\nAnswer: 7658698.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.67 to 0 decimal places.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 22*w**2 + 3*w - 48. Let f be p(18). Is (-11)\/(66\/f)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3013927412.25 + 3014035482.28069937. Let z = -107941.0307 + f. Let c = z + -129. What is c rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 5*h - 747. Suppose -i = -0*i - h. Let k = 10653 - 10633. What is the greatest common factor of i and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 9*v - 27. Suppose m - 4*m = -15. Suppose 5*j + 70 = 3*p, 14 = -2*j + j - m*p. List the prime factors of y(j).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from augvdug?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 + -21)\/70 + (-2274)\/7. Let j = 549 + w. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 397063422 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-126) - (-48)\/(-108)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 8 = 0, 0*r - 4 = 2*o + 3*r. Let h(d) be the second derivative of d**3\/2 + d**2\/2 + 2*d. Calculate h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(1\/5))*d*d**(-8)\/d*(d**(-2)\/d*d*d*d)**(-11\/7) assuming d is positive.\nAnswer: d**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-4)\/((-32)\/(-460)). Find the common denominator of -18\/5 and (o\/80)\/(4\/8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = 1. Let z(g) = -8*g**3 + 6*g**2 + g + 1. Let j(r) = -r**3 + r**2. Give q*z(x) - 6*j(x).\nAnswer: -2*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/260127 and 13\/2787075?\nAnswer: 19509525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 1. Let i be p(1). Suppose -4*l + l + 48 = i. What is the tens digit of (l\/(-10))\/((-2)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*i + 2 + 2 - 2*i**2 to the form z + m*i + t*i**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1181, 2366, 3553, 4742, 5933?\nAnswer: 7126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/(-16) - (-3)\/12. Suppose 3*q = -y + f, -y - 2*q + 1 + 3 = 0. Let d = 5 + -5. Solve -r + d + 14 = -5*i, 4*i = -3*r + y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 133 = 4*j. Let n = j + 66. Let f = 44 - n. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14) + 36\/28)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(1804\/369 + -5). Factor r*h + 7\/2*h**4 + 1\/2*h**5 + 0 - 8*h**2 + 4*h**3.\nAnswer: h**2*(h - 1)*(h + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -3\/8*f**4 + 0*f**5 + 1\/40*f**6 - f**2 + 0*f + f**3 + 0. Let j(w) = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 - 3 - -1) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -437505.\nAnswer: -437505.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 10*c - 11. Determine k(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4689 is divided by 274.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*r - 328 = 2, 3*k = -r + 324. Suppose 16*w = k + 933. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -8e?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2955, -3146, -3465, -3912, -4487?\n\"Answer: -64*b**2 + b - 2892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 - 1.6999978. Round j to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 11*f + 162. Let u be h(-19). Which is the third smallest value? (a) u (b) 5 (c) -5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010341779 rounded to six dps?\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 230142385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 - 102. What is the highest common divisor of q and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Suppose 0*u + 5*u + z = 5, h = -2*u + 5*z + 29. Suppose q = u, 5*q = -r - 0*r + 15. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 32 = 3*d - 0*d, -2*d = -2*y + 16. Let g be (-1)\/((-18)\/4 + d\/20). Factor 0*q + 3\/5*q**3 + g*q**2 + 3\/5*q**4 + 0 + 1\/5*q**5.\nAnswer: q**2*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 18?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -664221103*x**3 - 750204132.\nAnswer: -1992663309*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.93057 * 9.\nAnswer: -8.37513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, -2\/7, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozz when three letters picked without replacement from zolojyz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - z)*(0 + 0 - 9*z) + 156 - 156 - 127*z**2.\nAnswer: -145*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 45343*v**3 + 20*v**2 + 3*v + 474. Let t be w(-19). What is t rounded to the nearest one million?\nAnswer: -311000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38278 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1509, -5344, -11505, -19998, -30829, -44004?\n\"Answer: -d**3 - 1157*d**2 - 357*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 1. Let h be d(0). Suppose n = 2*n + h. Which is bigger: n or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 12:50 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (2 - 1) + (-23 - 85) + 94?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 1, u: 2, r: 5, v: 6, k: 1}. Give prob of sequence rvr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/18*-3 - (-160)\/6. Let o = j + -25. What are the prime factors of ((-39)\/(-52))\/(o\/336)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -59*k**2 - 145. Let l(c) = -89*c**2 - 217. Suppose 99 = 19*m - 34. Let o(b) = m*j(b) - 5*l(b). Find the first derivative of o(r) wrt r.\nAnswer: 64*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4069, 4043, 3999, 3937, 3857?\nAnswer: 3759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 23 = 3*h, 53 = 10*x - 15*x - 28*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9466293511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185202 is divided by 20062.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 35*l**6\/6 + 66*l**5 + 295*l**4\/2 - 40*l**3 - 625*l**2\/2 - 210*l - 1004. Find k, given that s(k) = 0.\nAnswer: -7, -2, -1, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - (-22)\/3) + (-18994)\/(-6)?\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -3\/8 (c) -4\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 = 3*n, -4*o = -n - 6 - 7. Is (3\/(-8)*4)\/(o\/(-906)) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342399 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090 less than or equal to 2090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((43 - 7) + (-12 - 109))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -615.79747 rounded to 1 decimal place?\nAnswer: -615.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 30 = -26*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 98 - 392. Let o = -96 + y. Solve r = 3*r - o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**4\/4 - 6*c**3 - 6*c**2 + 5*c + 54. What is the hundreds digit of m(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 5*f**2 - 3*f - 3. Let t be p(4). Let o = -17 - -6. Let y be -1 + 0 + -1 - o. Solve -y = 2*n + t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -8*3\/6. Let i(v) be the first derivative of 2\/5*v**5 - v**2 - 2 + 0*v + 1\/2*v**r - 2\/3*v**3. Solve i(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*v - v - 5*v)*(3*v - 3*v + 2*v).\nAnswer: -20*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 5:49 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 209355 to the power of 1\/2, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 10:28 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*g - 229*g = 41. Calculate the remainder when 72 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let j(b) = -174*b + 6 + 506*b - 165*b - 174*b. Let l(z) = -4*z + 3. Let o(n) = -4*j(n) + 9*l(n). Give o(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 10. Let d(v) = -20. Let s(f) = 362. Let x(m) = -18*d(m) - s(m). Let i(j) = -j**3 + j**2 + j + 1. Let u be i(-1). Give u*l(y) - 10*x(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15519.37 or 11.9?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 1140*n + 95474. Give j(91).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3 + 21*b**2 - 20*b**2 + 9*b + 3. What is j(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -339705697\/4917 - -69088. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 190480476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -335, -433, -559, -719, -919?\nAnswer: -1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -20*i**2 + 5*i - 1. Let f(z) = -z**2 + 2*z. Calculate b(g) - f(g).\nAnswer: -19*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -5 + 14 + (-15 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-306)\/54)\/(1\/36). Is -203 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n + 14 = 0. Let f = n - -142. What is the remainder when f is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (2 + 5 + -3)) + -71 - (65 - 75).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b - 5*o - 10 = 0, -4 = -3*b + 2*o. Suppose -3*h + 30 + 72 = b. Calculate the least common multiple of -1 + (-4)\/(-8)*h and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 8. Let q be l(-7). Suppose g + 4*t = 7, q = 5*g + 5*t - 5. Solve g*v = -3, -2*d - 4*v + 0*v = 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2648426994 a multiple of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) 12863 (c) 4 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + (-5192)\/(-319))*(20 + (-37)\/2).\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/8 and 67\/1107196.\nAnswer: 2214392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 8 = -54*l. Let x be 2*2\/8 - 1. Sort 0.2, l, x in increasing order.\nAnswer: l, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 182176 - 187?\nAnswer: 181a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1911) + (sqrt(1911) + sqrt(1911)*1)*3 + sqrt(1911)))\/((sqrt(27) + (-2*sqrt(81))\/sqrt(3))*-6).\nAnswer: -56*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**3\/3 - 3*z**2 - 7*z - 9. Let g be m(-3). Let i = 2373 - 2369. Solve 5*a - h = 10, g*a + 4*h = 2*h + i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w = 37*a - 13*w + 28*w + 139, -5*a = 5*w + 15 + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 6:22 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1709 + -1709.00717. Round s to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/315 and -23\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**3 + 80*o**2 - 268*o + 192 = 0.\nAnswer: 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9455, 9311, 9169, 9029, 8891, 8755, 8621?\n\"Answer: v**2 - 147*v + 9601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(1900) + sqrt(1900) - sqrt(1900)) + -1.\nAnswer: -6 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11210, 22448, 33666, 44852, 55994, 67080, 78098?\nAnswer: 89036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 86\/18 - (-2)\/9. Suppose -12 + 67 = g*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 122*b**2 - 239*b + 58. What is m(-120)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30075 = 43*j + 19934. Let x = 1167 + j. Determine v so that -3*v + 0*v**2 + 0 - 3\/4*v**x + 9\/4*v**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuusuaauuuusuussuauu. Give prob of sequence uu.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -414.631 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18154 * 2097.4.\nAnswer: 380.761996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38765 * 0.09.\nAnswer: -3488.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 12172*u - 39985*u - 11 as h + p*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*m**2 - 1312*m**2 + 328*m**2 + 298*m**2 + 306*m**2.\nAnswer: -276*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2. Let t(x) be the third derivative of -x**5\/30 - 4*x**2. Give d(t(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -851.1.\nAnswer: 851.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22439 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 75\/2 of a meter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-50)*(-1 + 0). Let v = 23 + -35. Let k = -7 - v. What is the closest to k in 5, -1\/2, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + q + 14 = 0, -5*j + 2*q = -5 - 8. Suppose 27 = 2*i - 3*z, 8 + 1 = 4*i + j*z. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 2*z**2 - 4*z - 9. What is the units digit of u(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6757\/7 - 2) + 4*35\/(-490). Solve 25*s - 813 = -a for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 354675 or 354674?\nAnswer: 354674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 549 + -548. Sort 5\/3, -0.2, f in decreasing order.\nAnswer: 5\/3, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66779 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/55 or 1?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 20, 14?\n\"Answer: -6*j + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 54. Suppose o + a*o = 0. Let t be 2\/((-2)\/4 - o - -1). Solve -t*q + 2*x + x = 14, -5*q - 2*x - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(6\/7)*z*z*z**(-12))**(-39) assuming z is positive.\nAnswer: z**(2223\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4746*c**2 + 389 + 254 - 643 to y*c + u*c**2 + o and give u.\nAnswer: 4746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42589*c**2 - 2*c + 19 - 42590*c**2 + 85180*c**2 + c**3 + 0*c**3 + 0*c**3 + 2*c**3 + (5*c**2 + 2*c**2 - 5*c**2)*(2*c - 4*c + 4*c).\nAnswer: 7*c**3 + c**2 - 2*c + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16974 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h + 2661 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.7 - -25. Let g = -2 + 2.2. Let l = g - j. Which is the third smallest value? (a) 0 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4222515194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130201 (base 4) in base 8?\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 18*o**2 + 3*o - 4. Let p(y) = 3 - 10*y + 14*y - 3 - 3*y. Calculate i(p(v)).\nAnswer: 18*v**2 + 3*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 0 = -2*a + 4, a = -w + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-196250)\/628*((-52771)\/5 + -1). What is a rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.06097 milligrams?\nAnswer: 7060970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1372969.1 + -1373029.09973. Let t = 60 + i. Round t to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97bb0 (base 13) to base 3.\nAnswer: -111221110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -58) + -45 + (13 - 2) - -117.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127\/15 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 72*a - 418. Let p be f(-50). Calculate the highest common divisor of p and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:21 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 - 62 = -74*j + 148 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 take away 0.17277?\nAnswer: 69.82723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from kkudkxduruugugu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3039, -4, 4, 11, -5.\nAnswer: -3039, -5, -4, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -9 + 13. Suppose 6*z - 16 = 7*z. Let t be 48\/(-27) - (z\/9 - n). Sort 3, -12, t in increasing order.\nAnswer: -12, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**4\/3 + 251*z**3\/3 - 67*z**2\/3 - 251*z\/3 + 21 = 0. What is z?\nAnswer: -63, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 10:22 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 9*z + 3*z**3 + 9\/2*z**2 + 7 + 2*z**4. Let s(c) = c**3 + c**2 + c + 1. Determine 2*f(t) - 18*s(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2368 = 6*t. Let d = t - 168. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 17*o + 39. Let u(c) = 11*c + 25. Let k(t) = -5*d(t) + 8*u(t). Let f(n) = 3*n + 6. Calculate -2*f(x) + 3*k(x).\nAnswer: 3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 47*g**4\/6 + 388*g**2. Let w(f) = 4*f**2 - 3*f. Let h(m) = -3*m**2 + 2*m. Let d(s) = 3*h(s) + 2*w(s). Calculate d(o(q)).\nAnswer: -35344*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*t**2 - 35*t**2 + 92*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -273*g - 20716. Determine q(-76).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 10:37 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d**2 - 114*d - 115. Let z(k) = 7*k**2 - 57*k - 58. Let f(s) = 4*n(s) - 7*z(s). What is the units digit of f(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - 22 - (10 + -55)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 205708387?\nAnswer: -205708385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3703866 and 90.\nAnswer: 55557990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.65+7818978\nAnswer: 7818978.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032 - -179.37?\nAnswer: 179.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 2:16 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 5*p + 3*p + 3)*(3 - 3 + 6).\nAnswer: 6*p + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.2 + 21. Let u = d + 0.7. What is the third biggest value in 2\/11, u, 2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvwwvwwwwwwwwwwwvv. Give prob of picking 2 w.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-89)\/(-7) + (-36)\/(-126). Which is the second biggest value? (a) 1 (b) 0.6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 2*h - 22, 4*w = w + h + 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596114.\nAnswer: 2, 23, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -17*w. Let u(q) = 3*q - 5. Let h(v) = -v + 2. Suppose -4*x + 7 - 31 = 0. Let j(b) = x*u(b) - 15*h(b). Determine i(j(s)).\nAnswer: 51*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 7 = -6*q. Let t = 0 + q. Suppose 4*p - t*p + 80 = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3198651 to the power of 1\/2, to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2161564789 to the nearest integer?\nAnswer: 46493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19495aa (base 11) to base 13\nAnswer: -8b36cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1451 + -1368. Calculate the remainder when b is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500500638 and 3366?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmr when three letters picked without replacement from {m: 1, p: 1, r: 1, o: 1, l: 1, u: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 187 or -3\/2?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*u**3 + 3 + 54*u**3 - u + 51*u**3 + (-2*u**2 - 4*u + 4*u)*(36 - 5*u - 36) as f + p*u**2 + s*u**3 + x*u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2. Let k(l) = -3*l**2 + 23 - 17 - 4*l - l - 11. Let d(b) = 2*b**2 + 3*b + 3. Let s(v) = 10*d(v) + 6*k(v). Give c(s(z)).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.146701 and -3?\nAnswer: -0.440103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*i + 18 - 18)*(-3 + 1 + 1) to the form d + w*i and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 21 = -57. Solve -2*f + m = 5*g - 17, 0 = 3*g - 2*f - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195 + 283. Let c = r + -58. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 6. Let b(c) = -c**2 - 3*c + 8. Let r be b(-7). Let j be -3*(-2)\/u + r. Round j to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -83, -234, -385, -536?\n\"Answer: -151*z + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or 10.4?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10040)\/(-70) - -1)*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239032163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*l = 261*l. Solve -2*c + y + l - 5 = 0, -4*c - 5*y - 17 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 times -0.1?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 228043867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 135\/(-10)*2 - -1. Let u = -24 - f. Suppose -l = u*i - 6, -5*i + 3 = l - 18. Solve 0*h = i*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 10211121111122?\nAnswer: 10211121111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.01, -17, 24.5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66541, -531967, -1795157, -4254991, -8310349?\nAnswer: -14360111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 - 2*v**5 + 3*v**5 + (259 - 129 + 5*v**3 - 128)*(-1 - v**2 + 1).\nAnswer: -6*v**5 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4994, 5004, 5020, 5042, 5070, 5104?\nAnswer: 5144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*l**3 - 24*l**3 - 5*l**3 - 21*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -915 + 915.005199. What is p rounded to four dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000364655674 rounded to six dps?\nAnswer: -0.000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*-3*3\/6. Factor -1\/4*o**5 + 0 + 3\/4*o**4 + 0*o - s*o**3 + 1\/4*o**2.\nAnswer: -o**2*(o - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1998*v. Let k(w) = 4293*w + 189. Let s(t) = 91*t + 4. Let b(q) = 4*k(q) - 189*s(q). Give 297*b(n) + 4*h(n).\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/133 or -93?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 2*v**2 + 4*v - 3. Let u be g(3). Suppose c = -p + 5, 2*c + 4*p - 14 = -u*p. Solve x = -c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:08 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -676 - 47*q**4 + 1664 + 491*q**4 + 1349*q**4 wrt q.\nAnswer: 7172*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009386202 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 4*z**2 + 2*z - 1. Let o = -11 + 16. Let u = o + -2. Suppose 0 = 4*w - u*w - 4. Give a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1261727522.3 + 12406072219.7. Let d = 13667799629.99999949 - y. Let c = d + 112. Round c to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. What is the first derivative of t**2 + 0 + 2 + 4*t**4 - t**n wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 + 3)\/(2\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d**2 + d - 4. Let u be z(4). Find the common denominator of -55\/122 and -6 - 9\/(-42) - u.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 3447005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = g + 17, g = b + 6*g - 3. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2*(-1 - (-10)\/4) and 9\/(33\/(-88)*-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 4*l - 1. Let i be x(4). Let o = 17 - i. Factor 3*d**o + 8 - 3*d**4 - 4 - 4.\nAnswer: -3*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238299969 divided by 487321\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 79 = -5*x + 2*l, 5*x = 3*l + 81. Solve 3*w = i + 1, w = 6*i - 2*i + x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47 - 47 - 5*t - 2*t**4 + 12*t**4 + 5*t**5 - 10*t**2.\nAnswer: 5*t*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f**5 - 35*f**4 - 139*f + 4 wrt f?\nAnswer: -160*f**3 - 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3 - 5 + 1088*d + 2 + 3 to v + q*d and give q.\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7333366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -38, -3, 2\/39, -168?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087476?\nAnswer: 2, 521869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 8*z**4 - 313216*z**3 + 313210*z**2 - 78302*z = 0.\nAnswer: 0, 1\/2, 39151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21)\/((-588)\/20152) + (-2)\/(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2630 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 20540758.\nAnswer: 20540758.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1302 = 8*c + 1610. What is c rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (3 - -10)) + 11 + -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s + 0*s - s)*(3 - 1 + 0) + 3*s + 4*s - 12*s)*(30 - 13 + 0) + 7 + 11*s - 7 + (-3 + 5 - 4)*(0 - s + 0) + 2*s + 0*s + 0*s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/17364240 and -79\/480?\nAnswer: 34728480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*j - 2. Suppose 0 = -3*b + 4*m + 19, -3*b = -j*b - 4*m - 1. Calculate the greatest common factor of b and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -130, -2, 0, -856 in decreasing order.\nAnswer: 0, -1, -2, -130, -856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -701\/152 + 90\/19. Let j = 37.5 - 37. Which is the second smallest value? (a) -5 (b) j (c) -2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195230*u**3 + 97606*u**3 + 97621*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-1)\/(-12)*6. Suppose h*w - 24 = -4*w. Solve -22 = -4*z - w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*h - 5. Suppose 7*d = 2*d + 95. Let k = d + -16. Put k, h, -4 in decreasing order.\nAnswer: h, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + -2 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/40*(0 - -2). Let g = 10 - 8. Which is the closest to 3? (a) g (b) 1\/9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -358 - -360. Let l(t) = -t**3 - t**2 - 2*t**2 - 8 - t**k + t + 0*t**2. Determine l(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44936505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-185 + 172 - (-15 - 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(-2)\/(-12)*3. Let i = -2.4 - -0.4. Put i, p, -4\/3 in decreasing order.\nAnswer: -4\/3, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 5*x - x)*(-4 - 1 - 4) - 40*x - 18*x - 7*x.\nAnswer: -74*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -5, 18, 61, 130, 231?\n\"Answer: z**3 + z**2 - z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjkfpcappjacfp. What is prob of sequence pjf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6710111.\nAnswer: 1187, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:47 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 4*y - 12. Suppose y*l = l. Suppose l = 2*t + 2*t - 8. Solve t = p - 2*p + j, j - 8 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78594670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2154 divided by 6.\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9933 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13803521 to the nearest integer?\nAnswer: 3715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -58 + (-32 + -3 + -1 - (-73 - -55))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-468)\/(-48))\/(4410\/(-1960)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 4)*(0 - 1 + 3) + (0 + 2 + 1)*(-1 + 1 + 2))*(f**3 + 2*f**2 - 2*f**2).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l. Solve l = -5*i - 6 + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/1851 and 113\/36?\nAnswer: 22212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h**3 - 14*h**2 - 16*h - 85. Is u(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2*o**2 + b**2 - 1887579*b + 3527954*o**3 wrt o?\nAnswer: 4*b**2*o + 10583862*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52224, -104133, -156042, -207951, -259860, -311769?\n\"Answer: -51909*m - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) -103 (c) -4\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*s + 18*s**2 - 34*s + 110*s - 38*s.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 1a82?\nAnswer: -1a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 11. Suppose 3*p - 33 = q, z*p = p + 4*q + 42. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2825 + -2717. Calculate the highest common divisor of d and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from zpaayaaawjaaazazjzyw.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22616 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13650000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 - (-6 + (-1 - -5)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-14) - 380\/(-133). Suppose -t*b + 1960 = 2*r - 2162, 6 = -3*r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5\/3 + 2324*d**4\/3 + 675116*d**3\/3 - 6968*d**2\/3 - 2020718*d\/3 + 1350244\/3 = 0.\nAnswer: -581, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21854167109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38331.\nAnswer: 3, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 116483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49, 85, 121, 163, 217, 289, 385?\n\"Answer: n**3 - 6*n**2 + 47*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (sqrt(468)*3)**2 + -4 + ((1*sqrt(468) + 3)**2 - sqrt(468) - (-3 + -2 + sqrt(468))**2).\nAnswer: 90*sqrt(13) + 4194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*o**4 + 270*n*o**3 - 3*n*o**2 - 72*n*o - 2583*o**4 - 2*o**3 - 4*o**2 + 10*o + 2 wrt o?\nAnswer: 48*n*o + 1620*n - 61992*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 9 + 15. What is the tens digit of 12\/(-24) - (-1113)\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -42014402?\nAnswer: -42014423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = x, -5*x - 29 = 5*k + 16. Let r be (1 + k\/15)*-5. Let g be 420\/4830 - 42\/(-46). Which is the second smallest value? (a) -0.04 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 - 41*x - 6.\nAnswer: -41*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 35 = -59 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5094 = 586*x + 4604 - 14160 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 773 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 164888.1 hours in seconds?\nAnswer: 593597160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*t + 5*p - 25, 0 = -2*t - p + 11. What is the least common multiple of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 90 = 2*z. Let b be (z\/9)\/((-1)\/3). Let j be 1 + -1 - (20\/6)\/b. What is the nearest to 1 in -3, 0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Let h(m) be the third derivative of 0*m + 41\/24*m**4 - 56*m**2 + 0*m**3 + 0. Calculate n(h(f)).\nAnswer: -41*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4*(2 + -4). Let b = -2 + h. Let y be b + (-2)\/((-2)\/19). Calculate the greatest common divisor of 55 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k**2 - 2*k + 5. Let h be (-3 + (-15)\/(-6))*14. Let v(x) = -11*x**2 + 4*x - 9. Calculate h*n(s) - 4*v(s).\nAnswer: 2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -1\/20*k**5 - 3 + 2*k - 5\/16*k**4 + 1\/2*k**2 - 1\/2*k**3. Factor n(u).\nAnswer: -(u - 1)*(u + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3995024, 7990051, 11985080, 15980111, 19975144, 23970179?\n\"Answer: v**2 + 3995024*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -9) + -10 + 2 + -19.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-10))\/(1\/5). Solve -c + 29 - 6 = -5*i, -i + a*c = -1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**6\/40 + q**5\/12 + 6*q**2. Find the third derivative of j(y) wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 21*i - 84. Put -3, -5, i, -4 in decreasing order.\nAnswer: i, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13293934?\nAnswer: 2, 6646967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4645 and 168149.\nAnswer: 840745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-60))\/((-72)\/(-80))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 0, 13, 40, 87?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -13. Let v be (-4)\/(-30) + j\/(-30). Let i = 30 - 91\/3. Sort v, i, -0.2 in increasing order.\nAnswer: i, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3130*q**2\/11 - 87102*q\/11 - 15064\/11 = 0. Calculate q.\nAnswer: -269\/1565, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2381993 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234868*k**3 + 235203*k**3 - 470012*k**3.\nAnswer: 59*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5 = -2. Let i be -1*3*1*f. Let g be 72*(0 + i)\/(-3). Round g to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -249*x - 2353 + 859 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216\/7*v**3 + 0*v**2 + 4\/7 - 324\/7*v**4 - 24\/7*v.\nAnswer: -4*(3*v - 1)**3*(3*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*w - w = 4, 5*p = -4*w - 1. Suppose 3*q - p = 90. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -16*k + 4. Let o(n) = 6209*n + 19. Give -o(z) + 5*w(z).\nAnswer: -6289*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*z - 48. Suppose 17107 - 53483 = -z*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34964*w + 1249930 - 5655394 = 0 for w.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42048 and 7200.\nAnswer: 1051200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.9383 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + n - 11 = 0, -1 - 11 = -2*v - 2*n. Suppose 0*m = -v*m. Suppose 5*b - 5*w + 5 = -m, 25 = 5*b + 5*w. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (17 + -41 + 12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10901 + -10907. Let r(q) = q**3 - q**2 - q + 1. Let z(s) = -2*s**3 - 4*s**2 + 10*s + 8. Let o(j) = r(j) + z(j). What is o(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -4404261026.\nAnswer: -4404261030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 22. Suppose t*g + 72 = -4*g. Let d be g\/12 - 3\/(-2). Solve d*k + 3*k - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-4)\/(-12)*2. Suppose z + l*z - 3*u = 63, -u = -5. What is the greatest common divisor of 286 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11654160 and 196?\nAnswer: 11654160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12 and -27\/12208.\nAnswer: 12208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 291.3, -9, -4 in ascending order.\nAnswer: -9, -4, 12, 291.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 2814?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -126*n + 4868. Calculate c(43).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 385 + 743 + 4477*l - 385*l wrt l.\nAnswer: 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96711, 193217, 289735, 386271, 482831, 579421?\nAnswer: 676047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18737)\/164)\/(-457)*20\/(-2)*-26.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 7*a + 6. Let x be u(4). Let b = 5 + x. Does 7 divide b*2\/4*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from kkkkddkkkk.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 9. Let j(w) = -w**2 + 5*w + 4. Let c be j(n). Let u be (-1 - -2) + c\/2. Solve -2*r - a + 4 = 0, -a + 4 + 0 = u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + 44 + -60.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 - 2552*x**4 - 276881*x**3 + 1745332*x**2 - 901940*x - 2921600 = 0. What is x?\nAnswer: -110, -1, 2, 5, 2656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*b + 2*b + 52, 3*j - 25 = -2*b. Let g = -27 - -58. What is the remainder when g is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**9\/p)\/p)\/(p\/(p\/(p**(-4)\/p*p)))*(p\/(p*((p\/(p\/(p**(-2\/7)*p*p)*p))\/p)\/p*p))\/p**8)**(-22))**(5\/7) assuming p is positive.\nAnswer: p**(-2530\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (61\/(-30) + 4\/120)*28\/3892\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 327*f + 14. Let r(v) = 187*v + 8. Let n(w) = 7*r(w) - 4*t(w). Let h(m) = 1353*m**2. Give h(n(c)).\nAnswer: 1353*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45747 + 70994. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -893*r + 901*r - 1 - 2*r**2 + 3. Let h be s(4). Let v(f) = -2*f**3 + 2*f**2 + 2*f. Determine v(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 2)*(19*m - 5*m + 17*m) to the form z*m + u and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**3\/3 + 6*f**2 + 13*f + 2. Let n(g) = -g**2 + 5*g + 17. Let m be n(8). Determine l(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -46, -43, -38, -31?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/4, 710, 56 in ascending order.\nAnswer: -4, -5\/4, 56, 710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16665 divided by -1.\nAnswer: -16665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 838312*c*m**2 + 2*c*m + 43*c - 5*m - 172 wrt m.\nAnswer: 1676624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/7)*z)\/(z\/z**(1\/2)))\/(z**(3\/7)*z**(1\/2))*(z*z**(-1)\/z)\/z**4*z**(2\/21)\/((z\/z**(-5))\/z) assuming z is positive.\nAnswer: z**(-190\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79622670 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*l - 367, 2*l = -5*k + 125 + 18. What is the remainder when 216 is divided by l?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187721 is divided by 23465.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -3*q - 69, -45 = -3*z - 5*q. Calculate the smallest common multiple of z and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -279\/8? (a) -3 (b) 250 (c) -2\/5 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10.1 (b) 3743 (c) 2 (d) -2 (e) -1 (f) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 21 + 5 = 0. Suppose t*i - 9*i = -80. What is the lowest common multiple of (-372)\/(-27) - (-4)\/18 and i?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -398, -727, -1218, -1877, -2710, -3723?\nAnswer: -4922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/36 + 12\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-15) + 2\/5. Suppose 4*q + 2*l = 3*q + 6, u = -2*l + 4. What is the units digit of 1 - 0\/q*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2917241.\nAnswer: 4\/2917241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 q when four letters picked without replacement from {q: 9, t: 7, j: 3}.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.6 - 14. Let z = 2.6000075 - i. Round z to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -247974*w + 1983793. Calculate n(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227165 is divided by 1817?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(75\/(-18))*-5. Let w = -3 - p. Calculate the highest common divisor of w and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11818393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:43 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38334*w**2 - 11*w**3 + 76676*w**2 - 38342*w**2.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13570052 divided by -4\nAnswer: -3392513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 7*w - 11*w)*(w**3 + 0*w**3 + w**3)*(12 + 20 + 20).\nAnswer: -1872*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511 - 8083*b**2 + 511.\nAnswer: -8083*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 14*m**2 - 66*m + 638. Let k be g(12). What is the greatest common divisor of k and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-16) + 3 + 34\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + 0*w)*(-240*w**3 + 712*w**3 + 715*w**3)*(-5*w + 2*w + 5*w).\nAnswer: -4748*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*p + 74, 203*p - 460*p + 47 = -5*d - 255*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*7\/9)\/(819\/(-702))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 344, 837, 1658, 2969, 4932, 7709?\n\"Answer: 27*x**3 + 2*x**2 + 298*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4286690 - 3.\nAnswer: -4286693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 534007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0.0294.\nAnswer: 1.9706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.094854 in -0.3, 0.4, -38, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -107, -129, -159, -197, -243, -297?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20155, 42736, 65339, 87976, 110659?\nAnswer: 133400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 + 3*j**2 - 18*j**2 + 12*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4\/12 - 5*y**3\/6 + y**2 + 5*y\/6 - 11\/12 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u**2. Let q(b) = -b**2 + 1. Suppose -3*a + g - 26 = 2*a, 0 = -5*a - 5*g - 50. Let f(i) = 5*i**2 - 6. Let r(h) = a*q(h) - f(h). What is r(z(o))?\nAnswer: 100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 25627?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most 468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35698?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -1070864.\nAnswer: 12850368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -5\/248, 59, -4.\nAnswer: -4, -5\/248, 1\/8, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = -2. Let j(z) = -z**3 - z**2 + 1. Let d(t) = -5*t**3 - 7*t**2 + 5. Give x*d(c) - 6*j(c).\nAnswer: c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17444 - -19923. List the prime factors of f.\nAnswer: 11, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13330781?\nAnswer: 41, 541, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w\/(w**2\/w))\/(w\/((w*(w**1\/w)\/w)\/w)*(w*(w\/(w*w**1\/w))\/w)\/w*w)*((w**(-1)*w*w*w)\/w)**(-2\/13)*(w**(-2\/5))**(-6\/5) assuming w is positive.\nAnswer: w**(-1844\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.69991. What is x rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 6*r**2 + 2*r - 8. Let o be z(6). Suppose 2*w + 4*t - 176 = 0, -o*w = -3*t - 20 - 299. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -2. Let f = -123 - -121. Which is the third smallest value? (a) -4 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1718 is divided by 171?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 723*h + 704*h - 28*h**2 + 14 - 1427*h. Let r(v) = 7*v**2. Determine r(n(d)).\nAnswer: 5488*d**4 - 5488*d**2 + 1372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, 157, 0 in descending order.\nAnswer: 157, 100, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(1\/(34\/30)) - 3. Let p = 0.27 + -0.22. Let n = -0.15 - p. Sort w, 2\/21, -0.4, n in ascending order.\nAnswer: -0.4, n, 2\/21, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j*l*t**3 + 4*j*l - 2*j*t**3 + 10*j*t + j + l*t wrt l?\nAnswer: 6*j*t**3 + 4*j + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8573.307ml?\nAnswer: 8.573307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1464 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3)*z)\/(z*z**0\/z*z))\/(z**(-3)*z*(z\/(z\/z**(-4)))\/z))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = v + 3930, -3160 = 32*w - 36*w + 4*v. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 - -15 - (-1480)\/(-52). Let c be -2 + 0 + (6 - 5). Is c != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (48\/(-256)*8)\/(126\/24). What is the nearest to 1 in -18\/103, -0.5, z?\nAnswer: -18\/103","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txnmddnmndxddnmdddxn. What is prob of sequence nm?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 2 - 80*w**4 - 4*w**2 - 2*w**3 - 2*w + 3*w**2 - 17*w**4 + 27*w**4 as g*w**3 + m + r*w**4 + q*w**2 + v*w and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 3*n - 5. Let b be o(5). Let s(r) = r - 16 - r**3 - 7 + 2*r**2 + b*r**2 + 24. Let d be s(7). Solve -3*q + d + 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 5*r + 10. Let d be z(-4). Let i be d + (0\/(-5) - 1). Sort i, 3, -5.\nAnswer: -5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from ltlqtottqoqqkukqt.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 21*r - 324. Let n(p) = -12*p + 164. Give -10*j(t) - 19*n(t).\nAnswer: 18*t + 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 2*l**2 + l**2)*(-31*l**3 + 1065 - 1065) - 4*l**5 + 3*l**5 - 12*l**5 + (0*l**2 + 2*l**3 + 0*l**2)*(2*l**2 + 2 - 2).\nAnswer: -102*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 4 = -5*a + 3*l, -5*l = 2*a. Suppose -a*v = 3*p - 56, -v + 3*p = 4*v - 44. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -27. Let l be (-215)\/s + 1\/4. Solve -2*i + 2*h - 10 = 0, 5*h - l = -i + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 4. Suppose 8 + q = s. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13530 divided by -55.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 4*g + 2. Let w be p(4). Let a be -2 - 1*4*w. Let q = a - -14. Solve -3*j - j - 40 = q*z, 4*j - 3*z + 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cc + 6e?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66022 by 22.\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*g - 6293 = 3924 - 1901 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*j - 519 + 145 - 620 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (5 + sqrt(18))**2) + (-1*sqrt(2))**2 + -3 + -1.\nAnswer: -45 - 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37308 is divided by 12427?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 328 = 2*w, 3*w - 4*w - 416 = -5*x. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r + 42 = 4*l - 38*r, 2*r + 102 = 5*l. Suppose 6*c - 270 = c. What is the greatest common factor of l and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j + 58. Let t be g(-12). Calculate the common denominator of (-455)\/(-285) - (t - (-3 - 2)) and -71\/3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*34*(-6)\/(-255)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 20*b**3 - 1 - 7*b**3 - 16*b**4 - 12*b**3 to the form a*b + c*b**4 + y + o*b**3 + l*b**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23338*o*y + 10*o + 281 wrt y.\nAnswer: -23338*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -884 (base 9) to base 6\nAnswer: -3204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/((-4)\/32*-6). Suppose -2030 = i*j - 31*j. What are the prime factors of j?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6294380 or 12588759\/2?\nAnswer: 12588759\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r**3 - 5*r**2 + 7*r + 5. Let y(o) = -10*o**3 + 7*o**2 - 10*o - 7. Let p be 710\/100 + (-7)\/70. Give p*v(h) + 5*y(h).\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**5\/10 - 24*r**2. Let k(q) = 3*q**2. Calculate u(k(j)).\nAnswer: 54*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 - 4*q. Let i = 34 + -13. Let c(x) = 3*x + 21 - x**2 - i. Let s = -4 + 6. Calculate s*l(v) + 3*c(v).\nAnswer: 2*v**3 + v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003684533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -192*b + 39. Calculate t(2).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/5 - 1272*i**4\/5 - 49323*i**3\/5 - 90438*i**2 + 1057452*i\/5 - 554664\/5 = 0.\nAnswer: -382, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 9. Let f be n(11). Let m be 1192\/336*6 + -21. Which is the nearest to f? (a) 0.1 (b) m (c) -0.5 (d) 5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 13. Let g(w) be the third derivative of -w**5\/60 + w**4\/3 + 2*w**3\/3 + 30*w**2. What is the units digit of g(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.038 + -55.038. Let y = -58.373 - -0.673. Let u = y - r. What is the biggest value in 1\/4, u, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.3 in -0.1, 4, -10\/7, 0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 14*y - 37. Let b be s(3). What are the prime factors of 8 + b - (-816 - (3 - 3))?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 0. Let p be (0 + -1)*(u + 1). Suppose -p - 43 = -c. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 6. Let m = -46 + 47. What is the second biggest value in 0.4, m, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k + 69. Calculate the lowest common multiple of x(10) and 78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3907\/2 + -1952. Suppose 12 = 14*p - 20*p. Which is the nearest to p? (a) d (b) -3 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011243279 to seven decimal places.\nAnswer: 0.0001124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*k**2 + 541 + 8*k - 500 - 372*k**2.\nAnswer: 4*k**2 + 8*k + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, 53, -2 in increasing order.\nAnswer: -2, 4, 18, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10815377723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 + 5*b**2 - 6*b**2 to v*b + z*b**2 + j and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 3 + -24 + 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 3)*(133*l + 63*l - 35*l) + (4 - l - 4)*(-4 - 20 - 14).\nAnswer: -284*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/9, -0.3, -3, -21.\nAnswer: -21, -3, -1, -0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*l - 159*l = 165*l - 217. Let j(c) = c**3 + 7*c**2 - 5*c - 34. What is j(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 0*l**2 + 0*l**2)*((-4 + 4 + 2)*(0 - 2 + 1)*(-26 - 19 + 52) + 0 - 2 + 3)*(-145*l**2 + 145*l**2 + 91*l**3).\nAnswer: 1183*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -251 (base 8) to base 4\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 1111, 3 in descending order.\nAnswer: 1111, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -4, -47*u - 4 = -43*u + 3*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6153417329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:53 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 956931.9kg?\nAnswer: 956931900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0, 38\/1449 in decreasing order.\nAnswer: 4\/3, 38\/1449, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 90*o**3 + 2*o + 3. Let x(r) = -135*r**3 - 3*r - 4. Let w(f) = -7*q(f) - 5*x(f). Let b be w(1). Let a be b\/(-25) + 2\/1. Is a at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 1. Let g(u) = 3*u + 24. Let s(j) = -g(j) + 6*i(j). Is s(-8) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9*m - 10 = 0. Let g = 7 + -4. Factor 0*v**3 - v**g + 2*v**m - 3*v**2 + v + 1.\nAnswer: -(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -2*g**6\/45 - g**5\/5 - g**4\/9 + 2*g**3\/3 + 4*g**2\/3 - 8*g. Let s(n) = 0. What is n?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 + 3*u**3 - 3*u**3 + (-u - u + 0*u)*(-2*u**2 + 4 - 4).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24278 = -107*z + 1105*z - 4088 + 28712 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 78.17*-0.9\nAnswer: -70.353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.723457613 to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-2) - (91\/(-14) - -6). Suppose x*u - 31 = 32. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a (base 14) to base 6.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 1 in ascending order.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) 1\/43 (b) 0.5 (c) 3 (d) 1\/233 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 347.\nAnswer: 5\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let v(f) = -f**2 - 5*f. Let n be v(-6). Let d be (-1)\/n*(6 + -9). Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(270))\/(sqrt(48)\/(sqrt(48)\/sqrt(6))) - (2 + (-4 + 5*-1*sqrt(80))**2).\nAnswer: -2018 - 163*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r + 2. Give n(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*(sqrt(242) + 3).\nAnswer: 9 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/((-2)\/8 + 35476\/336). Is s at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.7 - 15. Let l = 17.67 - 2.77. Let t = l - 15. Sort t, b, -3 in descending order.\nAnswer: t, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in years?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5807 = 2*k + l, 4*l = 7*k - 2*k - 14563. Calculate the remainder when k is divided by 139.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.02, -0.6, 4, 1, 121?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2739 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 9*r - 2. Let i be k(-8). Suppose 2*u + 2 = -i. Let l be (-9)\/u + (-15)\/(-20). Which is the third biggest value? (a) -0.2 (b) 2\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1158648 and 52992?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o**3 - 7*o**2 - 7*o. Let q(h) = -h**3 - h**2 + h - 7. Let u be q(0). Let a(c) = 6*c**3 - 2*c**2 - 2*c. Give u*a(z) + 2*n(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 + 7*r**2 - 6*r - 1. Suppose -10 = u + 4*u + 4*l, -2*u - 37 = -5*l. Let t(f) = f**3 + f**2 - f. Determine u*t(p) + j(p).\nAnswer: -2*p**3 + p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 802 + 8*a**2 - 6*a**2.\nAnswer: 3*a**2 + 802","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.594 times 5153?\nAnswer: -13366.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pknlpplpplpppplnppk. Give prob of picking 2 l.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = -2. Let g be u\/2*(3 - 1). Suppose 21 = -3*j - 3*l, 0 = -2*j - 6*l + l - 2. Put 3, j, g in decreasing order.\nAnswer: 3, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -16*y**2 - 3*y + 2. Let r(t) = 65*t**2 + 11*t - 9. Let w be 209\/(-22) - 2\/(-4). Let k(p) = w*s(p) - 2*r(p). Find the second derivative of k(d) wrt d.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3630)\/20)\/(-33) - (-26)\/(9464\/(-2158)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 370 + -393. Suppose 2*t + 3*o - 2 = -9, -4*o = 4*t + 8. What is the third smallest value in z, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9365174516 + 9365174469.393526824. Let u = 0.393532224 - y. Let v = 47 - u. What is v rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 14 - 129 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 190*w**5\/17 + 34*w**4 + 132*w**3\/17 - 644*w**2\/17 - 322*w\/17 + 66\/17 = 0?\nAnswer: -11\/5, -1, 3\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12029?\nAnswer: 23, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18\/7 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 3*f + 3. Let b be h(-3). Suppose 0 = 3*j - k - 193, j - 69 + 0 = -2*k. Let z = 60 - j. Put b, 7, z in descending order.\nAnswer: 7, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 252*d + 3313. Let f be q(-13). Solve -4 = -41*a + f*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-192)\/210 + 1\/(10\/2). Let i(w) = -w**3 + 6*w**2 - 9*w + 4. Let h be i(4). Is h < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 i when three letters picked without replacement from {i: 17, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 559082 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.83 - 0.8. Let o = a + -0.03. Let w = 0.5 - 0.6. What is the smallest value in w, o, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*q - 1 = 0, -2*f - 103*q + 107*q + 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/26 + 95\/1235\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s + 25. Let b(f) be the third derivative of f**5\/60 + 5*f**4\/24 + f**3\/3 + f**2. Determine b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*d + 4, -5*h + h + 8 = -3*d. Find the third derivative of 7 + 12*g**h - 6 - 3 - 29*g**3 - 56*g**3 wrt g.\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87311201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3 + 2 + -5. Let f = 4 + h. Suppose -z + 22 = -4*n, -f*n = 4*z - 11 + 3. Calculate the highest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 271 + -1085\/4. What is the closest to y in -51, 0.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {u: 4, w: 1, l: 3, i: 1, e: 2, f: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*z = 65, 0 = 5*q + 4*z - 74 - 56. Let o be q\/(-20)*(-10)\/3. Suppose h = -o*h. What is the second smallest value in 3, h, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 4*a. Let z be s(-4). Suppose -5*k - 3*k + 16 = z. Solve 5 = -k*o + x, -o + 1 + 4 = -3*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 22 + 14)*(3*i**2 + i - i) in the form b*i**2 + g + r*i and give b.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 4*t**2 - 26*t + 245. Calculate y(9).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - 2*l - 2. Let o(t) = -3*t**2 + 2*t + 2. Give 5*g(p) + 6*o(p).\nAnswer: 2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 - 1526*w\/11 + 189384\/11.\nAnswer: 2*(w - 607)*(w - 156)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 15.18. Which is the second biggest value? (a) -2\/13 (b) -6\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 123 = 5*k. What is the remainder when 59 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -14*v**3 - 20*v**2 - 11*v + 8. Let s(j) = j**2 - 8*j + 11. Let p be s(8). Let h(m) = 5*m**3 + 7*m**2 + 4*m - 3. Calculate p*h(x) + 4*g(x).\nAnswer: -x**3 - 3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*y = -15*y - 17471 + 24703 for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-62)\/((0 + -4)\/4). Let p = v - 38. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.26 rounded to 1 decimal place?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 6*x + 2270, 2*x + 369 = 367. Calculate the remainder when g is divided by 327.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2914 is divided by 2899.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 13) in base 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(216) - (-2*sqrt(216) + sqrt(216))))\/((sqrt(144) - (sqrt(144)*-2 + sqrt(144)))\/sqrt(12)))\/(-1*sqrt(600)*-2*-6).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a - 618 = 0. Let l = -93 + a. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j = 155*j - 16099005. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -28. List the prime factors of t\/(99\/(-6)) + 22050\/154.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -259, -262, -265, -268?\n\"Answer: -3*s - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 21*w**2. Let p(l) = -90 + l**2 + 90 + l**2. Determine p(v(s)).\nAnswer: 882*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - (41 + (-20 - 2))) + -3 - 133?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121821 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144121*b**4 - 2*b**3 - 75237*b**2 wrt b.\nAnswer: 3458904*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -11, 3, 33, 85, 165, 279?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -328*m - 10. Let p(a) = -330*a - 12. Give 6*o(d) - 5*p(d).\nAnswer: -318*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 44.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/8, -0.08, -15, 3\/8 in ascending order.\nAnswer: -15, -0.08, 3\/8, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j = -9385 + 8685 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -318, -634, -948, -1260, -1570, -1878?\n\"Answer: t**2 - 319*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44, -253, -836, -1985, -3892?\n\"Answer: -32*d**3 + 5*d**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 699433 and 8582.\nAnswer: 1398866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17611836 by -66.\nAnswer: -266846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -48555.993 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001322223 + 230?\nAnswer: 1001323113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, j: 2, v: 1, y: 1, l: 8, x: 4}. What is prob of picking 1 l and 1 y?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/7 - (-280)\/294)*6. Solve d*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -2 - 1) + 49 + -44\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - 15*g - 16. Let i be m(-6). Find o, given that 0 - 2\/3*o**i - 1\/3*o = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 3*m - 1 + 5 + m**2. Let n be w(4). Let o be (-1 + 22)\/(-3*1\/(-3)). Solve -r + 6*r + o = t, t = -n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-225)\/60 + 1 + 3. Let d = -53\/5 - -11. What is the second biggest value in -2\/13, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*z + 52 = 5*z, -5*r - 101 = 2*z. Let k = 2 + 2. What are the prime factors of (-678)\/r + k\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -141, 1.4, -0.3, 4\/9, 2\/47?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 11) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-2)\/21 + (-400)\/(-525). Let v = -4 + 8. Let u = v - 4.3. Which is the third smallest value? (a) q (b) -1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -207 at least as big as -209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -14161 not equal to -14161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -4, 8 in decreasing order.\nAnswer: 17, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -709 + 3529\/5. Let z be (7 + -9)*1*6\/4. Are z and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 8*v**2 - 14*v + 13. Let u = -82 + 76. Let g be f(u). Suppose -1 + g = 8*d. Solve -5*i - 25 = -5*m, 3*i + 0*i + d*m + 9 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 338 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 31*i**2. Let d(r) = 5*r**2. What is m(d(x))?\nAnswer: 775*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*o + 21, 2*o + 5*l - 1 = -4. Let g = o + 28. Solve 2*z + g = -z + 5*d, -2*d - 11 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-9) + 1)\/(55\/(-6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 2*i**2 + i. Let l(m) = 5*m**3 + 4*m**2 - 173*m - 180. Let z(f) = 3*l(f) + 12*r(f). Factor z(n).\nAnswer: 3*(n - 9)*(n + 1)*(n + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118.2752 - -150.279. Let g = -40.1 + 8.1. Let h = g + u. Round h to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8496 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36711423 to the nearest integer?\nAnswer: 6059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -13)*39*38\/1235. Suppose 17 = -s + 42. Is t smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 378928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 9. Suppose -2*t + 5*t - b = 0. Solve -2*r - t = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from qgggfqkzfqqqggr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2453, 2425, 2423, 2447, 2497?\n\"Answer: 13*m**2 - 67*m + 2507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2744 = 44*g + 17*g + 135*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 7*l - 12 = 0. Suppose -8*q + l*q = -24. Calculate the least common multiple of q and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -2)*8\/(-3). Suppose k + 3*k = -t. What is the units digit of 1 + k - 18\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-35)*(-4720)\/12. Let s = -68 + w. Let f = 0.3 - 0.2. Which is the closest to f? (a) -1\/7 (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10748 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 3*k**2 - 2*k**2)*(7 + 1 - 5)*(-6*k - 4 + 4).\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*t - 24, -n = -t - 6 - 2. Solve -n*a + 5*a - 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 50.876. Let m = 3.17 + -2.989. Let c = s + m. What is c rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158536 is divided by 367.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/25)*g)\/(g\/(g**(2\/7)\/g))*g\/((g**(-2\/27)\/g)\/g)*g**(-2\/11) assuming g is positive.\nAnswer: g**(117358\/51975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169362*g**2 - 81480*g - 9800.\nAnswer: -2*(291*g + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*m - 27 = 0, 2*p + 4*m - 5 = 29. Suppose -697821 = -p*z - 235121. Round z to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3482*k**2*x + 241*k*x - k - x wrt k.\nAnswer: -6964*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/18 (b) -1 (c) 1\/2 (d) -176\/3 (e) -0.32 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 82*w - 2214. Let o be z(27). Put 1, 14, 8, o, -2 in descending order.\nAnswer: 14, 8, 1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 21*l**2. Suppose c + 3 = 0, -2*c - 15 = 5*b + 3*c. Let m(p) = b*p + 3*p - 4*p - 2*p. Calculate m(k(u)).\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3676272097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27580004)\/14 + (-2)\/(-7). Round c to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287\/410*8\/(-14)*5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(891) + sqrt(891))*-4)**2.\nAnswer: 1152*sqrt(11) + 57088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 7. Let o(h) = h - 1. What is the units digit of o(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 67*z = -70*z + 44, 22 = b - 3*z. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6615.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-68)\/(-17)*(-1)\/2 + 8. Suppose 4*n + p = n. Sort n, -4, 5 in decreasing order.\nAnswer: 5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9539375 by -76315.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 51 = -3*q + 326, 0 = p - 4*q + 89. Let w = -4 - p. What is the greatest common factor of 23 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 5:47 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 27, 66, 121?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15\/41 - 4\/123. What is the biggest value in p, 0.3, -40?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) + (-10)\/(-12). Let h be 259\/(-777)*(-6)\/11*1. Which is the fourth biggest value? (a) k (b) h (c) 2\/33 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -447648, -447401, -447154?\n\"Answer: 247*q - 447895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 - -112042\nAnswer: 112040.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-65) + (-758)\/26. Let l(r) = 4*r + 120. Let y be l(g). Let c = -5 + 11. Solve -28 = 3*x - u + c*u, -y*x - 2*u = 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-2))\/((-37)\/(-36) + -1). Round g to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 7) to base 16\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2058 to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30706\/1317 + 8\/439. Let m = -39506111\/11 - -3588348. Let u = 3114 + m. What is the common denominator of k and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 392770179*v**3 + 335619123 with respect to v.\nAnswer: 1178310537*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3766 - 0.0234. Which is the closest to -2\/9? (a) p (b) 2\/9 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 9*w + 62 + 3*w - 6*w**3 - 16*w to x*w**3 + a + u*w**2 + q*w and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -2*v**5\/15 + v**4\/6 + v**3\/9 - 11*v. Determine u, given that c(u) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1293d (base 14) to base 7.\nAnswer: 250206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33562*l = -67102*l + 33547*l + 714 for l.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14537?\nAnswer: 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90097 + -11892871\/132. Calculate the common denominator of 4542\/3028*(-80)\/18 and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/9 + 6777596*g\/9 - 11483951884804\/9.\nAnswer: -(g - 3388798)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45750881 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4565, -16075, -35261, -62123, -96661, -138875?\nAnswer: -188765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8242 + 4b?\nAnswer: -81b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31434297?\nAnswer: 3, 353, 29683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 3:48 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -964 divided by 241.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(6\/(-2)))\/(32\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1 - 3*x + x - 3. Let u(y) = -y - 3. What is 2*o(f) - 3*u(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -19*4\/247*26\/(-4). Determine q, given that c*q**4 + 2\/3*q**5 + 0 - 2*q**2 + 2\/3*q**3 - 4\/3*q = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*b + 5*b - 459. Let c(m) = -5*m**2 + 9*m + 1. Let k(q) = 14*q**2 - 26*q - 3. What is b*c(n) - 6*k(n)?\nAnswer: n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(0 + 1) - -10. Solve z = 9*g - 14*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/1242035 and -73\/352.\nAnswer: 437196320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 14*i + 30. What is c(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3\/50, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 848768340 divided by 60\nAnswer: 14146139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279 + 252. What is the biggest value in 5, -0.3, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 6*i + 6. Let j be r(4). Let x = -47 - j. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224301459 to the power of 1\/2, to the nearest integer?\nAnswer: 14977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 16*c - 42 = 0. Solve 0*s = 2*s - x, -16 = 4*s + c*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/4 - 116151*n**2\/2 + 3367472619*n + 614805216662 = 0.\nAnswer: -182, 116242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 67*l**3 + 6*l**2 - 26*l + 25. Suppose 7*j - 3*j - 116 = -4*w, -w = -4*j - 29. What is the remainder when v(1) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 174, -1 in ascending order.\nAnswer: -3, -1, 0, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-4*t + t - t)*(2*t - 2*t - 8*t) - 5*t**2 + 10*t**2 - 13*t**2.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (-1 + 68 + -38)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -1482\nAnswer: -35\/1482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-4 - -3) - -3. Is (l + -2 + -2)*3633\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 624\/(-104) + (1\/(-9))\/((-2)\/116).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10*p**2 + p - 1. Let m(g) = -1326*g**2 - 39*g + 650. Let j(l) = m(l) + 39*x(l). What is the first derivative of j(i) wrt i?\nAnswer: -3432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*g - 0*g + 123, -22*i - 2*g = -20*i - 66 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*n + 297 + 164 = 0, -5 = -n. What is the common denominator of 103\/12 and x\/30 + (-8 - -7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 42 = -2*t, 2*c - 36 = -2258*t + 2262*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4 + 10*q + 9*q**2 - 4*q**2 - 7*q + 5*q + q**3. Let u be k(-3). Suppose -2*n + 5*n + 18 = 0. Which is the third biggest value? (a) -0.2 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48161.5032 rounded to the nearest one hundred?\nAnswer: -48200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -39*t + 197. Let q be l(5). Let j(r) = 15*r + 3. Let f(g) = -7*g - 1. Calculate q*j(s) + 5*f(s).\nAnswer: -5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 33190 - 33190 - 1574*r in the form o + d*r and give d.\nAnswer: -1574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m - 946 = -2*t - 36*m, -5*t + 2295 = 4*m. What is the least common multiple of 15 and t?\nAnswer: 6945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:22 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = i + 8*i + 139 - 699 for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.437 - -5.4363154. What is n rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 67 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8539 + 8061. Is -477 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*12\/378 - ((-112)\/21 - -6).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = n + 2*n. Let h be (-1)\/n + 15\/6. Let g be 208\/416 - (1\/(-2) + -1). Solve -j + 0 = g*d - 7, -h*d + 6 = 3*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1)*4\/(-8). Let a be (0 + m)\/(-1) + 29. Let x = a + 1. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67549.06 litres?\nAnswer: 67549060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - 80 - 38) + (0 - 4) + 20?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 17*k + 1. Let f be q(16). Solve j + 5*t = 2*j - 20, -t = 4*j - f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 100*g**3 + 220*g**2.\nAnswer: -5*g**2*(g - 22)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11021220 + -1022223?\nAnswer: -12110103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 2)*(-4)\/(-26). Let h = -17 + 33. Suppose -4*g = -f - h, -5*f - 2*g + 8 = -0*f. Which is greater: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 4. Let b = 11.1 - w. Put 2\/5, 3\/2, b in descending order.\nAnswer: 3\/2, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 6. Let p be l(-4). Suppose -77 = 3*b - 17. Let n = p - b. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*c + 6. Let x = -1.1 + 1. What is the closest to x in 3\/7, 5, c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + k**3 + 3*k**3)*(0 - 3 + 2) - 2*k**3 + 5*k**3 - 4*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 311.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4613*z**3 - 9*z**2 - 3.\nAnswer: 4613*z**3 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*w + 2*q, -4*q + 7 = 5*w - 5*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k - f - 3878 = -64*k, 3*f = k - 770. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 37*x + 368 = -8*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - k**3 + 5*k**3 + 6*k**3.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnn when three letters picked without replacement from {r: 1, n: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -4.73551557?\nAnswer: -3.26448443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:14 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 10:17 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.2. Which is the closest to j? (a) 5 (b) -2\/13 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 1310131230031?\nAnswer: 1310131230120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19327 or 37549?\nAnswer: 19327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230960?\nAnswer: 2, 5, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 5*a + 113, -b - 5*a + 11 = -21. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t - 1. Let m be j(-1). Let p(f) = 11*f**2 - 5*f + m*f - 11 + 3*f + 2*f + f**3. What are the prime factors of p(-7)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33 + (-4071)\/(-46))*46\/3. What is the greatest common factor of b and 888?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -28. Suppose -4 = -4*p + 4. Solve p = -b - m*b + 2*n, 3*b = -n - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 17) + (-1 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*z**3 - 8*z**3 - 26*z**2 + 77*z**3.\nAnswer: z**3 - 26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v + 221\/3 + 1\/3*v**2.\nAnswer: (v + 13)*(v + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c + 19 - 56*c**3 + c + 9*c**5 + 21 + 41*c**3 wrt c?\nAnswer: 180*c**3 - 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1841*y**2 - 251*y**3 - 27*y - 1841*y**2 as n*y + d*y**3 + q*y**2 + v and give d.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 29. Let p be d(-6). Suppose 43165 - 10183 = p*i. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33002 + -3?\nAnswer: 32333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52b07 (base 16) to base 14.\nAnswer: 8b607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -611 divided by 40?\nAnswer: -611\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 116, 9\/5, 0.2, 2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d - 1. Let y(m) = -6*m**3 - 12*m**2 + 12*m + 12. What is -60*f(l) - 5*y(l)?\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 351795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 1\/4 (c) -1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 319 = -97. Let x = -69 + u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21060394 = -33*r - 3097999. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-14)*(-52)\/6. Let x be 21008\/(-338) - 2\/r. Let i = -48 - x. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 76.5\nAnswer: -38.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2. Let m(a) be the first derivative of a**5\/30 + 2*a**3\/3 - 1. Let g(d) be the third derivative of m(d). Give b(g(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = -3*c, 0 = -2*l - 5*c - 7. Suppose -2*m + 36 = -l*t, 3*m - 4*t - 46 = -0*m. Suppose 5*o = 2*x - 5, 5*o - m + 5 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 321304 - -1?\nAnswer: 321305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 15*p**3 + 8*p**2 - 65*p + 5. Let r(v) = -2*v**3 - v**2 + 8*v - 2. Let i(t) = -5*g(t) - 35*r(t). Determine b, given that i(b) = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-70 + 4 + 6)*(5 + 1 - 4)*(9*r**3 - 2*r**3 - 2*r**3) in the form s*r + i*r**2 + t*r**3 + l and give t.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8478\/31 or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/730053 + 9002419\/572361552. Find the common denominator of 13\/2352 and k.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 13 = 5. Let c be (-3 + (-6)\/g)*-8. Suppose j - c = 8. Calculate the greatest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33d (base 14) to base 13.\nAnswer: -3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 4 (c) -1 (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7 - -10.22. Round k to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 - 16849*p + 4*p**3 + 16848*p - 28*p**2 in the form b*p**2 + a + c*p**3 + v*p and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 47*m**2 + 95*m + 166. Determine r(49).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 17554 - 2*m + 17439)*(2 + 4 - 3).\nAnswer: -3*m - 345","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -151040?\nAnswer: -17\/151040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208728 by 8697.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -11 + (-4)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.85 + -4. Let j be (-11 - -7)*(-10 - (-234)\/24). Which is the biggest value? (a) -0.4 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44616013*p**4 - 32178807*p**2.\nAnswer: -1070784312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 1, -81, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**(-42))**(2\/13) assuming p is positive.\nAnswer: p**(252\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3635.1 - 3342.07. Let w = y + -293. Which is the closest to 5\/4? (a) -2 (b) -0.5 (c) -3\/5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 6*a + 3. Let s be x(6). Let y be s\/(6\/(-8) - 0). Sort y, -2, -3.\nAnswer: y, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.543809 weeks to milliseconds.\nAnswer: 328895683.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 + h + 2. Let y = -18 - -16. Let w be r(y). What is the smallest common multiple of 21 and (-4)\/w*9*1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -1) + (37 + -23 - 31)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4*o + 5*o - 5*o)*(-4 + 1 + 2)*(-31 + 1 + 3) - o + 4*o + 2*o to the form k + l*o and give k.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocv when three letters picked without replacement from blocvvl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 10 = 0, 276*u - 557*u + 81 = -276*u - 3*a for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122288 divided by 2.\nAnswer: 61144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -54862 divided by 27\nAnswer: -54862\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 658 + -114. Let i be 1\/3*4 + m\/(-156). Is -3 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 + 38265*i - 1340500 = 0. Calculate i.\nAnswer: -38300, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**4 + 296*p - 4347?\nAnswer: -4*p**3 + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 325 - 295. Suppose 0 = -3*h - 3*a + 42, a + 3*a = -h + 8. What is the smallest common multiple of n and h?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1307*l**2 - 322*l**2 - 486*l**2 to the form q + p*l**2 + h*l and give p.\nAnswer: -2115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.8. Let m = q - -3.5. Let r = 18166 - 18166.03. What is the nearest to r in m, -0.2, 5\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5\/7 + 65082*n**4\/7 + 75650850*n**3 + 1588082166*n**2\/7 = 0?\nAnswer: -16269, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027420.765 - -0.4?\nAnswer: 2027421.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33180, -132503, -298044, -529803, -827780, -1191975, -1622388?\nAnswer: -2119019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -18*k**4 - 10*k**3 - 10. Let j be (4 + -4 - 4) + -6. Let t(s) = s**4 + s**3. Let c(r) = j*t(r) - y(r). What is the derivative of c(n) wrt n?\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4118 - -4132. Let s = -8 + 12. Let d be (-14)\/s*(0 - 32). What is the greatest common factor of d and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111342 - 2?\nAnswer: 111340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 9779\/41 and 238 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32081\/18 - -7131\/4. Find the common denominator of -61\/1674 and q.\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 0*n - n**2 + (-2*n - 3*n + 6*n)*(-11 + 32 - 22*n - 20) to the form g*n**2 + s*n + w and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-13)*(v\/(v\/(v\/(v*(v**25*v)\/v)*v))*v)\/v*(v**(-2\/5))**(-8))**(11\/4) assuming v is positive.\nAnswer: v**(-1859\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 442.1903 litres in millilitres?\nAnswer: 442190.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.74 + -12. Let l = n + 12.26. What is the second biggest value in 0.5, l, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18367005 is divided by 528.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7197, 14427, 21663, 28905, 36153, 43407, 50667?\n\"Answer: 3*s**2 + 7221*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/3))**(-26))**(-24)*((x**(2\/3))**3)**33 assuming x is positive.\nAnswer: x**482","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-30))\/(9\/(-5)). Which is the smallest value? (a) -2 (b) d (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 + 990*u - 1976 = 0. What is u?\nAnswer: 2, 988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22466, -89856, -202170, -359408, -561570, -808656, -1100666?\nAnswer: -1437600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23059?\nAnswer: 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let h be y(0). Let t(v) be the first derivative of -5*v - 2*v**4 + 9 + 4*v**4 - 12 + h*v**4. Differentiate t(w) with respect to w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 + 12 + (-18)\/4. Is -0.1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -31, -3, 5 in increasing order.\nAnswer: -31, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 17*x + 47. Give d(26).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4420 divided by 3.\nAnswer: -4420\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*l - l. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**1)**10\/((z*z**(-1))\/z)**8 assuming z is positive.\nAnswer: z**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 2. Let o(b) = -3*b**2 - 7*b - 2. Let c(n) = -4*n + 10*n + 5*n**2 - 3*n**2 + 1. Let d(k) = 4*c(k) + 3*o(k). Let w be d(2). Determine h(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 5*n**4\/6 + 7*n**3\/6 - 9*n**2\/2 + 79*n. Let f(a) = -5*a**2 - 3*a + 4. Calculate 3*b(z) + 7*f(z).\nAnswer: -5*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -24*a**2 + 55*a + 3. Let h(c) = -24*c**2 + 55*c + 4. Let g(o) = -4*b(o) + 3*h(o). What is the second derivative of g(t) wrt t?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b - 2. Let v be (-1)\/(-6)*496\/14. Let j = v - 46\/7. What is the closest to b in -0.3, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*t**2 - 43*t + 43*t + 119 + 90*t**2 + 80*t**2.\nAnswer: t**2 + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**4 + 0*b**4 + 0*b**4 + (0*b**2 + b**2 + b**2)*(-5*b - b**2 + 5*b) in the form h*b**2 + d*b**3 + k + x*b**4 + s*b and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(55)*3 - -4*sqrt(55)*-1)*-4)\/((sqrt(5) - (sqrt(35)\/sqrt(7)*-3 + sqrt(5))) + 3*sqrt(180)).\nAnswer: 40*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {g: 2, e: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -14.87 (b) 0 (c) -4\/9 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 + f**4\/3 - 4*f**3\/3 + f**2. Let a be z(4). Let y be -1*(3 - a\/3). Sort -2, 0.2, y in increasing order.\nAnswer: -2, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 2, j: 3, f: 5}. Give prob of picking 1 s and 1 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -22\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -0.2, -4, -5, 18.566?\nAnswer: 18.566","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(5 + -5 + -2*sqrt(448) + 2 + (sqrt(448) - (sqrt(448) + 0 + -5))))**2 + -4)*-4.\nAnswer: -29440 + 3584*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-23)*l*l)*l)\/(l\/l**(-19)) assuming l is positive.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69062 and 39802.\nAnswer: 196343266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 61. Which is the nearest to -1? (a) -0.13 (b) t (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 38, 2, 15, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d = o + 37*d + 3, 3*d + 6 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, o: 6, q: 2}. What is prob of picking 1 o and 2 q?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -26*c**3 + c**2 - 1. What is the remainder when f(-1) is divided by (-1)\/(((-3)\/27)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.24756629 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -3. Let g(c) = -54*c - 4. Let z be g(1). Let u = 60 + z. Solve -u*t + p = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/15 in -1, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 7:43 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15360 = 13*x - 29*x - 144*x. Solve -5*d = 43*d + x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/14)*c)\/(c**(1\/10)*c))**(2\/99)\/((c**8\/c)\/(((c*c*c**(1\/5)*c)\/c)\/c))**(-43\/2) assuming c is positive.\nAnswer: c**(288049\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*k - 64 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2590193037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + 175?\nAnswer: 15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -26\/19*l**2 + 0 - 2\/19*l**3 - 24\/19*l = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 345562685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -67*-0.092\nAnswer: 6.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 1\/14, -424, -0.7, -16?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117.64*-8.\nAnswer: -941.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*n - 85024 + 49560. Calculate the remainder when 4052 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3682\/3 - -22159\/18. Calculate the common denominator of -167\/30 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 7*t**2 + 12*t + 36. Suppose -3*o - 20 = 2*y, -o - 5 = y + 2. Let k be u(o). Suppose k*l + 4*l = 872. What are the prime factors of l?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, and 1 f when three letters picked without replacement from kxkffzffzzzxfxz?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = 2. Suppose f*d = 240 + 30. Suppose -5*k + d = -11. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*c - 3182 = 4*c, 3*c - 2409 = -3*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**3 - 47*t**2 - 17*t - 205. Give z(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1489712 and -0.59?\nAnswer: 878930.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10486, -20974, -31462, -41950, -52438, -62926?\n\"Answer: -10488*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(76)\/sqrt(4) - -2*sqrt(19)*3.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 5*z - 2. Let h be t(-6). Let r(d) = h*d**2 + d**2 + d + d**3 + 0*d**3 + 3 + 4*d. Determine r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**3\/7 + 232672*m**2\/7 + 80117078*m\/7 + 26679840\/7 = 0. What is m?\nAnswer: -341, -1\/3, 39120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, t: 1, z: 2}. Give prob of picking 1 v and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652 (base 11) to base 7.\nAnswer: -2166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 12. Let o(l) = -6*l + 35. Let d(t) = -17*f(t) + 6*o(t). Let w be d(3). Let y be (w\/(-2 - -1))\/(-4). Is y greater than or equal to 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 115*l**3 - 6*l**2 + 3. Let h(m) = 2*m**2 - m - 1. Give 3*h(f) + r(f).\nAnswer: 115*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182666 is divided by 60410.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-210)\/4)*(-2)\/((-2)\/(-1)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24)\/(-27))\/4 - (-21427090)\/(-180)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*(-5)\/(-33))\/((-128)\/(-704)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 5*g + 8. Let s be y(6). Let h(d) = 3*d**2 - 10*d - 9. Let a(l) = 4*l**2 - 11*l - 10. Let p(v) = -4*a(v) + 5*h(v). Let t be p(-5). Does s = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5032 is divided by 239.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/h**(-8)*h*h))\/(h**(-2)*h))**(2\/7)\/(h*h**(-1\/3)*h*h*h**(-7)*h*h*(h\/h**(-1))**(2\/11)) assuming h is positive.\nAnswer: h**(-205\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(304) + sqrt(304) + 1))**2 + (1 + sqrt(304) - sqrt(304))**2*-5 + sqrt(304).\nAnswer: 68*sqrt(19) + 4863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12*(42 + 9414\/(-216))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 3*p + 6. Suppose -2*o = 2*v - 336, -26*v = 5*o - 27*v - 822. Suppose -22*t + o = 11*t. What is n(t)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236021 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 4. Let a be s(0). Suppose 2*p - p = a. Suppose -3*l + 9 = n, -5*n - p*l + 20 = -3*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -2\/369 (c) -0.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 4498?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.39 - 0.61. What is the nearest to v in -2\/9, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796854 divided by -265618?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1371 - -320.5371. Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 1125750 + 1125750. Let d(j) = -192*j**2 + 11. Determine d(n(w)).\nAnswer: -768*w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/u*u*u**(1\/3))**(-27) assuming u is positive.\nAnswer: u**153","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 23 = -h + 92, -l - 22 = -5*h. Let b = 28 + l. Calculate the remainder when 31 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v**2\/15 + 18*v\/5 + 14\/15 = 0. What is v?\nAnswer: -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-4)\/(-2)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5418\/15 + (-9)\/(-5) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 16*h - 8. Let w be a(9). Suppose w + 10 = -5*q. Let t(x) = -x - 1. Let c(m) = -4*m**2 + 4*m + 4. Determine q*t(b) - c(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3218 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 36 = 3*x, -5*z - 4*x + 44 + 43 = 0. Suppose z = 4*r - r. Suppose 0*u + q = -5*u + 30, -45 = -r*u - 4*q. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/3 - 394*r**3\/3 - 7012*r**2 - 155288*r\/3 + 176720\/3 = 0.\nAnswer: -94, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:55 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 80\/3, 54?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/255 and 71\/121735317.\nAnswer: 608676585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -26497?\nAnswer: -2\/26497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2660045*w + 2 + 2660578*w - 5 as a + t*w and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1017, -8083, -27267, -64629, -126229, -218127?\n\"Answer: -1010*q**3 + q**2 + q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654155538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 12\/8*(-66)\/(-9)?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 70?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q + 38. Suppose -4*z + 106 = 22. Let n = q - z. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61808982239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-15))\/(6\/4 + -2). Solve 51 - 35 = -u + 3*q, -24 = g*u - 2*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -9. Let g = -7 + f. Let a = 11585 - 11585. Solve a = -9*p + g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)*(i**(-2\/5)*i)\/i)**(1\/7)*(i\/i**(-1\/4)*i*i**(-5)*i)\/(i**(1\/3))**(-4\/25) assuming i is positive.\nAnswer: i**(-3803\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.509958 + 0.51. Round u to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 217, 428, 639, 850?\n\"Answer: 211*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4084, -26263, -86454, -203659, -396880, -685119?\nAnswer: -1087378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 2. Let s = 109 + -65. Let v be s\/(-7) + (-2)\/(-7). What are the prime factors of j(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 880974650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-2))\/(-8))\/((-72)\/(-3168))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*j + 1 = 0, -2 - 5 = -3*r + 2*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5\/8*p**5 - 1\/2*p**2 - 17\/8*p**4 + 0 + 0*p + 2*p**3 = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 107 - 31. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from spp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23232 (base 5) to base 12.\nAnswer: -b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - r**2 + 133.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 3*s + 18. Let a be w(0). Suppose j = 144 - a. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -973 = -4*o - 173. Let b(g) = -g**3 + 6*g**2 - 2*g + 5. What is the remainder when o is divided by b(4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -2*m + m. Let f = m - -140\/3. Which is the third smallest value? (a) 2 (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-4*g**2 + 3*g**2 + 4*g**3 - 2*g**3).\nAnswer: 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 120*o. Let s(n) = -13*n + 122. Let q(i) = 416*i - 3965. Let y(t) = 6*q(t) + 195*s(t). Calculate y(c(u)).\nAnswer: -4680*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 4*j = 2*o - 68, -4*j + 40 = -4*o. Calculate the remainder when 34 is divided by (-14 - -16)\/((-2)\/o).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/22736340 and -47\/360.\nAnswer: 45472680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142.693 + 145.22. Is -4 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = 30. Suppose 2*a + 3*q = a + t, 3*a + 4*q - 30 = 0. Solve 0 = a*o - o + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 202?\nAnswer: 40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1477575.217 to the nearest 1000.\nAnswer: -1478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**4\/8 + 33*g**3\/8 + 333*g**2\/8 + 783*g\/8 + 243\/4 = 0.\nAnswer: -3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45100655 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(-3 + 0 + 6)*(-3*x**3 + 0*x**3 + 0*x**3).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3861948, 7723896, 11585844, 15447792, 19309740, 23171688?\nAnswer: 27033636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**2*y**4 - u**2*y**3 - 2*u**2*y**2 + 20*u**2 - 670*u*y**4 + 25*u*y**2 wrt y?\nAnswer: 48*u**2*y - 6*u**2 - 16080*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15\/8, -1\/2, -4, -15\/5182, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3171967 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**6 - 628*q**3 + 80*q**2 + 3*q wrt q?\nAnswer: -240*q**3 - 3768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184044025, 184044022, 184044019?\nAnswer: 184044016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 3*m = 5*d + 22, 2*d = 4*m - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 556, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + 17\/4 - 79564\/(-16) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/((-235)\/(-282)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (101 + 0)\/((36\/2376)\/(4\/6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 19*f - 713. What is d(18)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/272538?\nAnswer: 1\/272538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 2:29 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -66, -92, -166, -312, -554?\n\"Answer: -4*h**3 + 2*h - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 421*x**4 + 217*x**3 - 3*x**2 + 6781413*x wrt x.\nAnswer: 5052*x**2 + 1302*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175*i**2*o*p - 28*i**2*p - 12*i**2 + 332*i + 3323*o*p wrt i.\nAnswer: -350*o*p - 56*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 1)*6 - sqrt(363)) + -2.\nAnswer: 4 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 3. What are the prime factors of -5*(-2 - (-12)\/f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (26 - (10 - -11)) + 79 + (2 - 2).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3194 = 5*i - 17416. What is the thousands digit of i\/4*340\/255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260)\/8)\/(-13)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Suppose -7*i + 264 = -3*i. Let x(a) = i*a - 16*a - 26*a. Calculate r(x(m)).\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, -1\/4, -385?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*c - 30*c + 342. Suppose 12*h = 15*h - 798. What is the highest common factor of h and c?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49891 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 8) + -1 + (3 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23590894.\nAnswer: 2, 19, 620813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 29674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q\/(q*(q*q**2*q)\/q))\/(q*(q*q**3*q)\/q*q**(-2\/11))*(q**(-3)*q\/q**(-1\/8))**(4\/3) assuming q is positive.\nAnswer: q**(-139\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 63338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-3 + -1))\/(2\/12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2b23c?\nAnswer: -2b241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34686.46ml in litres?\nAnswer: 34.68646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 5*n + 105. Is 14 a factor of (-4)\/6*n*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*2*sqrt(5).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/3 - 58899964*v**2 - 650475873700320*v + 13660002006002800\/3.\nAnswer: -4*(v - 7)*(v + 22087490)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 540.9405 - -0.0595. Let g = 316 - h. Let p = g + 174.2. Round p to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*r + 22 + 13, -4*r - 4*p = -44. Suppose -8*t = -9*t + r. Is t greater than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-5) + 2064\/80. Let f = g - 15. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.4 + 271.6. Let c = g - 301.06. Round c to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 10:12 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 3584?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4181 + 4180 - 175*v - 103*v)*(-3 + 3 - v**3) in the form n*v**4 + h*v + a*v**2 + l + k*v**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40 and 14459188.\nAnswer: 14459148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -5, 130\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(171)\/(sqrt(324) - ((2*sqrt(324) - sqrt(324)) + sqrt(324))) + 3).\nAnswer: -3 + sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 18936 + 18936.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j + 14 + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/2 - 3990321*t + 7980648.\nAnswer: -3*(t - 2)*(t + 2660216)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39000 and 916968.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -61*u**3 + 8*u**2 + 32*u + 25. Let q be r(-1). Calculate the greatest common divisor of 4185 and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvvb when four letters picked without replacement from bvmmbbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gntvvnnnkggvv. Give prob of sequence gktv.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 4, 3.326.\nAnswer: 4\/5, 3.326, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*j + 107 - 27, 0 = -j - 4. Calculate the smallest common multiple of 290 and z.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/24 + 113*q**2. Let l(s) = 35*s. Determine l(u(a)).\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*k + 1 = -q - 0*q - 97*k, -5*k = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - 195776?\nAnswer: -19575a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*7*52\/273\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5913 + -2865. Solve -3039 = 9*k - z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2009 - -3069. Does 53 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3581883834 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 662636 divided by 101.\nAnswer: 662636\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c**2 + 16*c + 10. Let x(k) be the third derivative of -k**5\/20 - k**4\/8 - k**3\/3 + 106*k**2. Determine -3*t(s) - 16*x(s).\nAnswer: 6*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9679212 = -0*s. Let h = s + -1636619. Let n = -543184 + h. What is n rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(sqrt(245) - sqrt(245)*2 - sqrt(245) - sqrt(245))*-3 - (3 + (sqrt(80) - ((sqrt(80)*-2 + sqrt(80))*-4 - sqrt(80)))**2)).\nAnswer: -1938 - 756*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 12*t**2 + 27*t + 75. Let y be d(-10). Solve 32 = -y*i + 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-14 - -3) + 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*p - 5*p. Suppose 40 = p*q + q. Solve -3*a = g + 12, -5*g + q = -2*a - g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13c (base 13) to base 2\nAnswer: 11011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004084 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3699*d. Let u(b) = 25*b. Calculate -2*m(j) + 297*u(j).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164 and 8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16 = 0, -4*i + 69 = 3*m - 103. What is the least common multiple of m and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzjy when four letters picked without replacement from {y: 2, g: 3, j: 6, z: 1, b: 4}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**7\/42 + 39*g**5\/20 + 22*g**2 - 1. What is the third derivative of c(u) wrt u?\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -1069, -2367, -4151, -6403?\nAnswer: -9105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260, -798, -1614, -2708?\nAnswer: -4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 4201.23?\nAnswer: -4201.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(75) - (sqrt(75) + -3 + sqrt(75)))*-6 + 3)**2 - (4*sqrt(75) + sqrt(75) + -5 + 0)).\nAnswer: -4625*sqrt(3) + 14650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 10. Suppose -d - 2 = 0, 3*d = 2*a - f*a. Factor -n**2 - 3*n**2 - n**3 + 4*n**a.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)*f)\/f)**(4\/15) assuming f is positive.\nAnswer: f**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -2355?\nAnswer: -2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = 13. Let t = -9 - l. Suppose t*u = -3*u + 21. What is the highest common divisor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/7 - ((-12)\/7 - -2). Let y = 11 - q. What is the lowest common multiple of 20 and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-28\/9))**(-35)\/(i**(-21)*i\/((i\/(i*i**39*i))\/i)) assuming i is positive.\nAnswer: i**(791\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351.4305ug to grams.\nAnswer: 0.0003514305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 9.3. What is the third biggest value in h, -1\/4, 0.149, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 4*a + 20, -6 = -5*n - a - 11 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -0.41, 44, 39, -6 in descending order.\nAnswer: 44, 39, -0.41, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55771?\nAnswer: 43, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6172.563 + 6168. What is d rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5345 divided by 9\nAnswer: -5345\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/78613 + 5731861\/90247724. What is the common denominator of -119\/1640 and u?\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-23)\/((v*v**(-13))\/v) assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632046642.\nAnswer: 2, 691, 1180931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.2. Let z = 0 + i. Let n = 462 + -462. Which is the closest to 1? (a) z (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/((-280098)\/25728) - (0 + 14\/(-133)). Which is bigger: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 55*p + 177*p + 364*p + 6*p.\nAnswer: 494*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -2 - 17*o**2 + 31*o - 3\/20*o**5 + 31\/12*o**4 - 1\/3*o**3. Find the second derivative of b(g) wrt g.\nAnswer: -18*g + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {h: 1, m: 1, l: 5, j: 9, r: 4}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3889, 0, 2.5, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**24)\/(y**(-6\/5)\/y*y*y) assuming y is positive.\nAnswer: y**(-114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2606 = 15*f - 2786 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l*u**3*v + 2*l*u**2 + 37*l*v + 55*u - 4 wrt u.\nAnswer: -6*l*u**2*v + 4*l*u + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/6 (c) -1\/1502\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-2)\/(-16)*20. Solve -4*y + r = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112.7935 - 44097564\nAnswer: -44097451.2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 0. Factor -21*z**2 + 2*z**4 + 6*z + y*z**5 + 27*z**3 + 3*z**5 - 17*z**4.\nAnswer: 3*z*(z - 2)*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 5*z + 53, -207 = -5*z - 222. What is the remainder when 104 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10234 - 4576. Does 34 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) 1635 (b) 2\/5 (c) 0.5 (d) 3\/5 (e) -0.4 (f) 1.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by -153\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -450432 divided by 7038?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140122 - 52711. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3345115 by -5.\nAnswer: 669023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, s: 1, o: 4}. Give prob of sequence ohs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g. Let y be f(1). Let s be (4 - 1) + y\/(-2). Suppose l = -3*l - w - s, 2*w = 4*l - 8. Solve l = -4*r + 5*t + 12, 0*r + r - 2*t - 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) 174565\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1351444713.00000031 + -1351444772. Let i = -59 - b. What is i rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 3. Let r(w) = 5*w**3 - 14. Let c(v) = 2*v**2 - 5*v - 1. Let b be c(4). Let j(h) = b*f(h) + 2*r(h). Differentiate j(a) wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259177.\nAnswer: 259177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + c + 3 = 0, 51*l - 50*l = -4*c - 19. Put l, -2, -2\/41 in descending order.\nAnswer: l, -2\/41, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 + (-5)\/(-5). Suppose 5*l - 3 = p. Which is greater: -2\/87 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*i = -31, -2*i + 6 = 2*j + i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28179252 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v = 56*v + 48488. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*g**2 - 4*g + 4*g.\nAnswer: 2*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1. Let k be 2\/1 - (2 - 3). Let z(m) = 3*m - k + 8 - 2*m - 3. Give -a(y) - z(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 - 22.09. Let o = m - -24. Let y(k) = -k**2 + 5*k - 3. Let t be y(4). What is the nearest to -0.2 in o, t, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 27 in decreasing order.\nAnswer: 27, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/45 and -79\/1335?\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*p + 52*p + 48*p - 325 - 136*p.\nAnswer: 11*p - 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4 - 0)*6. Suppose 5*x - 2*h = -50 + 396, -3*x = -2*h - 210. Let f = x - 23. What is the highest common factor of f and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7142146 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - -5869499?\nAnswer: 5869499.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 1 + -3 - (9 + 8)) + -5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(-6))\/((-4)\/(-42)). Suppose 0 = 5*x + 171 - 906. Calculate the highest common divisor of z and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127*c**6 + 265*c**5 + 796925*c**2 wrt c.\nAnswer: 15240*c**3 + 15900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6168*i + 188137 = 5050*i + 1007051 for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -426.1 - -74.1. Let w = 352.000161 + l. Round w to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 18. Let -2\/5*c**4 + 0 - 8\/5*c**5 + 24\/5*c**3 - 2*c**t - 4\/5*c = 0. What is c?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6 (b) 1\/4 (c) 0.06 (d) 0.5 (e) 2\/45 (f) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 2:05 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-7 + 174\/24). Let z be o - 16 - (-2)\/8. Which is the third biggest value? (a) 0.07 (b) z (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 + z - 1. Let b be i(1). Suppose 5*n - 1345 = b*d, 0 = 3*n + n - d - 1076. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 6243688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 297, 0.3 in descending order.\nAnswer: 297, 9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5863341238 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13 - ((-192)\/(-2))\/(-12). Solve 0 = -1550*o + 1553*o + p for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-6)*3\/1. Let d = q - 0. Let s = 14 - d. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by ((-7)\/63*3)\/(1\/(-141)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/3075 + 683\/1025. Suppose 0 + z*c - 2\/9*c**3 + 4\/9*c**2 = 0. Calculate c.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -871934 divided by 2.\nAnswer: -435967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -608 - -607. Which is the third biggest value? (a) 9.2 (b) 3\/2 (c) -5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (4 + -14 - -6 - -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*h**4 - 4*h**5 - 9*h**4 + 31*h**5 + 66*h**3 - 24*h**2 + 3*h + 0*h.\nAnswer: 3*h*(h - 1)**2*(3*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*d + 0*d - 636 = 0, 4*m + 3*d = -848. Let q = m - -1573. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s + 24*s**3 + 207 - 3*s - 200.\nAnswer: 24*s**3 - 10*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1385381\/80 - -17316. Calculate the common denominator of -5\/48 and u.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 5*i + 9*l - 17, -4*i + 4*l + 28 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2455*c. Let y(v) = -11*v**2 - 5*v. Calculate y(z(q)).\nAnswer: -66297275*q**2 + 12275*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 0) + 2*-1*2. Let c(g) = -50*g + t - 1 - 6. List the prime factors of c(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 4*c - 2*c - 8*c + 6*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 15 = 2*n. Let h = 0.61 + -346.61. Let b = 347 + h. What is the third biggest value in b, n, -0.05?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 3 - ((12 - 0) + (-85 + 67 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 + a + 1. Let n(f) = -21*f**3 + 2*f**2 + 4*f + 34. Let x(z) = -4*h(z) + n(z). Differentiate x(k) wrt k.\nAnswer: -39*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101031320 (base 4) to base 5\nAnswer: -4224040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101352 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - 4*b)*(-2*b**2 + 5*b**2 - 2*b**2) + 2*b**3 + 0*b**3 + b**3 + 2270 - 2270 + 117*b**3 + (-b - 4 + 4)*(-b**2 - 3*b**2 + 5*b**2).\nAnswer: 117*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeehheeeehee. Give prob of sequence hhh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -390, -382, -352, -288, -178, -10, 228, 548?\n\"Answer: 2*n**3 - n**2 - 3*n - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)*d)\/(d*d**(-3)))\/((d**(-1)\/d)\/(d**(-2)*d)) assuming d is positive.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*-4671.351\nAnswer: 14014.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 5*f**2 - f**2)*(-2*f**3 + 3*f**3 + 4*f**3).\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p*q**3 + 20390*p*q**2 - 9*p*q + 4*q**3 - 2*q**2 + 13824 wrt q?\nAnswer: -12*p*q + 40780*p + 24*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2449463?\nAnswer: 41, 59743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-27)\/(a*a*((a\/a**(-4\/23)*a)\/a)\/a)*a\/a**(3\/11)*a**(-5) assuming a is positive.\nAnswer: a**(-8462\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23154 - 1?\nAnswer: 23153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -24) + -13 - -8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 9. Let p be b(6). Let i(j) be the third derivative of -j**4\/12 + 7*j**3\/3 + 84*j**2. What is the units digit of i(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + -2 - (-700)\/56. Solve 14*v = w*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 8*w**2 + 12*w. Calculate the lowest common multiple of h(8) and -2 + 3 + (0 - -5).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.126 - -0.121\nAnswer: -1.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2\/11 (b) 5 (c) -9939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329509287*s**3 + 49538536*s + 6?\nAnswer: 1977055722*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7195747671703 and 2?\nAnswer: 7195747671701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 3*r - 4. Let f = 31 - 28. Give a(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 2*g + 4, -5*g = -4*m - 12. Let t = m - 1. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(425))**2 - (4 + sqrt(425)*2 + sqrt(425))**2.\nAnswer: -3412 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2706 by -22.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -546753 + 3?\nAnswer: -546750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -239 + 79. Let y(k) = -3*k**2 + 2*k + 3. Let o be y(3). Let x = j - o. Solve 3 = -x*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppeeptevpppepp. Give prob of sequence pvt.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + a - 22. Let s be 90\/3 - (5 - 2). Let b = s + -27. Let g(q) = -q**3 + q. Let k be g(b). Determine l(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -211, -392, -573, -754, -935, -1116?\n\"Answer: -181*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t**2 - 905*t - 3441. Determine p(133).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 7 = -2*y + 3*b, y - 2 = 2*b. Let h be 12\/(-3) + (-1)\/y*-34. Which is smaller: h or 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014392 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/8 - (-162)\/88\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/117606119 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8163759 to the power of 1\/2, to the nearest integer?\nAnswer: 2857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -20414?\nAnswer: -20425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccjjxsjjjjc. Give prob of sequence jjj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*v**2 + 23*v - 11*v**2 + 4*v**2 - 3*v**3 + 2*v**3 wrt v.\nAnswer: -6*v - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73642 - 40182. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (-15 - 39) - (-2 - (1 - -19)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -74, -2 in descending order.\nAnswer: 2, -2, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1989)\/(-255) + (-30)\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -325\/36 - -37\/4. What is the third biggest value in -19\/4, -5, -2\/17, m?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3026*u**3 - 2*u + 3079*u**3 + u)*(4 + u - 4) as r*u + a*u**3 + f + d*u**4 + c*u**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3834217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14 + (-19)\/(-7). Suppose 307 = f*v - 71. What is the highest common factor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 2:34 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r - 5*r**3 + 13*r**3 + 14*r to the form g*r**2 + o*r**3 + w + j*r and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873851?\nAnswer: 3, 7, 89231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-27) - 65459\/96723.\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5344047.\nAnswer: 3, 593783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**2 - 6*k - 3. Let j = 1 + 5. Let x(h) = -9*h**2 - 7*h - 4. What is j*d(p) - 5*x(p)?\nAnswer: -3*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, -3\/5, -0.02, -0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39746*d**3*o**2 - 3*d**3 + d**2*o**2 + 5193*d*o - 10*o**2 - 5 wrt d.\nAnswer: -238476*d*o**2 - 18*d + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = -3*g. Let c be g - 6*20\/15. Let r(d) = -17*d**3 + 11*d**2. Let p(i) = -i**2 + 9*i**3 - 2*i**2 - 3*i**2. What is c*p(q) - 6*r(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 238918666?\nAnswer: 1194593330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a - -3b?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 165*q**3 + 12*q**2 + 3*q + 1088. Let z(w) = -329*w**3 - 21*w**2 - 5*w - 2176. Let l(a) = 5*m(a) + 3*z(a). What is the derivative of l(n) wrt n?\nAnswer: -486*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303456.\nAnswer: 2, 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7003958, 7003952, 7003942, 7003928, 7003910, 7003888?\n\"Answer: -2*s**2 + 7003960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 4*z**2 - z**2 + 5*z**3 + 5*z**3.\nAnswer: 10*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119526*y**2 + 59927*y**2 + 59596*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 262 = -k. Suppose -4*q + k = 35. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 - 3*g - 6. Let x(i) = -8*i**2 - 9*i - 2. Let h be x(-1). Let m be v(h). Solve -m*u + 65 = 11*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20131 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 797, 790, 771, 734, 673, 582, 455, 286?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {v: 3, o: 2, c: 3, b: 1, p: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/7 - 14991426*p\/7 - 29982840\/7.\nAnswer: -3*(p + 2)*(p + 4997140)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*s - 74 = 0, 0 = -p - s + 4*s + 54. What is the least common multiple of p and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-29))\/((4\/(-2))\/20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-2*k + 2*k - 2*k**2) + 0*k**2 - 4*k**2 + 3*k**2 + (-14 + 7 + 1)*(-11*k**2 + 19*k**2 - 12*k**2).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c - 6. Let w = -7459\/251009 - 62\/1201. Find the common denominator of i(4) and w.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utmt when four letters picked without replacement from {b: 1, w: 1, m: 1, t: 2, f: 1, u: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 34, 87, 170, 289?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 - 280 + 123)*(1 + 2*g - 1 + (-g + g + 2*g)*(-1 + 2 + 0))*(4 - 3 - 4)*(-5 + 5 + 2)*(-5 + 5 - 7).\nAnswer: -4200*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, k: 1, p: 1, t: 7}. What is prob of sequence teke?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-7 + 8 - -19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2862 - -2.\nAnswer: -2860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgyyywgygggygggyggyg. What is prob of picking 1 w and 2 y?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 68. Let s = 48 - 195\/4. Which is the closest to -0.1? (a) s (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - s + 2*s**2 - 2 + (-s + 0*s + 2*s)*(-4*s - 8*s + 7*s).\nAnswer: -3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61.003488 + 61. Round p to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 27*w**2 + 7*w - 7. Let q(p) = 13*p**2 + 4*p - 4. Let n(b) = 56*b - 231. Let t be n(4). Calculate t*q(l) + 4*u(l).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in 4, 5, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4134)\/(-1325) + 11 + -13 + 2\/25.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38171 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13539.\nAnswer: 3, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*n + 34 = 0, 19 - 4 = 5*n. Let a = -0.5 + 2.5. Sort z, a, 3.\nAnswer: z, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 10:17 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2745 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 466.9102ml in litres?\nAnswer: 0.4669102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 7*m - 12. Let p be l(9). Let w be 12\/p*20\/(-16). Which is the nearest to w? (a) -5\/6 (b) 7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116.3 - -111. Let d = -5 - s. Which is the biggest value? (a) 4 (b) d (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**4 - 3091075*w**2 + 194511*w + 29.\nAnswer: -12*w**2 - 6182150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 194*(1 - (2 - 3 - 0)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 7*l = -5*g - 7, -3*l - 4*g + 7*g = -15 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)*n**(-6\/7)*(((n*(n*n*(n\/((n**(-11\/4)\/n)\/n))\/n)\/n)\/n)\/n)\/((n**(-5\/2)\/n)\/n))**(3\/8) assuming n is positive.\nAnswer: n**(363\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*j + 228 = -115 - 337 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(4\/7)*f**4)\/(f**(-6)\/f*f\/(f*(f**(6\/7)*f)\/f*f)) assuming f is positive.\nAnswer: f**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/12*114\/209)\/(-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -4. Suppose -5*b - 3 = -c*b. Calculate the least common multiple of 22 and (4\/(-8))\/(b\/(-20)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*s**2 - 34*s**2 - 17*s**2)*(0*s**2 + 0*s**2 - 2*s**2 + (3 - 3 - 2)*(s**2 - 4*s**2 + s**2)).\nAnswer: -52*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00921368 to five dps.\nAnswer: 0.00921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012100012110 + -12?\nAnswer: -2012100012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4*d - 2*n - 5 = 0, d - 5*n + 20 = 0. What is the third smallest value in 1\/8, -3\/8, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(135\/48) - 2. Let h be ((-20)\/9380)\/((-72)\/7378). Let l = 1\/268 + h. Which is the closest to k? (a) 0.5 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 220*u - 7. Let h(g) = 187*g - 6. Let y(m) = 7*h(m) - 6*q(m). Suppose -3*b = -4*b - 9. Let f(z) = -21*z. Give b*y(v) + 5*f(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2 - 193*i + 42. Let t be h(32). Solve -51 = 61*b - t*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11220260 by 38.\nAnswer: -295270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36528649 + 0.01871?\nAnswer: 36528649.01871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**15)**15 assuming w is positive.\nAnswer: w**225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5 = j, 3*j + 6 = 3*s + 4*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-22336)\/6980\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 - (-21 - 1) - (663 + -652)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 26.466?\nAnswer: 13.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000899323 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(5\/(-55))\/1*-13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Suppose -17 = -2*z - p. Let k = z - -3. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {j: 3, u: 1, f: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1731395*0.01.\nAnswer: 0.001731395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2076327 at most as big as -2076351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -5*m**4\/6 + m**3\/6 - m**2\/2 - 3*m - 658. Calculate y(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57.611597788 + -2.617095508. Let w = f + -55.0045. Let t = w + 0.01. Round t to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**4 + 17*v**3 + 280*v**2 - 4. Let o(s) = -17*s**3 - 279*s**2 + 3. Let q(j) = 4*o(j) + 3*u(j). Find the third derivative of q(n) wrt n.\nAnswer: 72*n - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 9*v**2 + 2*v + 9. Let i be a(9). Let f be (-4)\/(-18) - (-1398)\/i. Suppose z + f = 3*z. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 52*g**2 - 642*g - 57. Calculate b(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.14764 millilitres?\nAnswer: 0.00614764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.45483138 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23397435.301413789847205 - -5.598585500152795. Let y = f + -23397441. Let i = -0.1 - y. Round i to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p + 6*p - 3 + 8*p + 3*p**2. Let o be z(1). What is the common denominator of 4 and (o\/(-6))\/(3\/((-747)\/8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3624*j**2 + 5. Let u(i) = 3*i. Determine u(b(k)).\nAnswer: 10872*k**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -31110231031110?\nAnswer: -31110231031100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 43*t + 9. Let h(a) = 1. Let x(r) = g(r) + 2*h(r). What are the prime factors of x(3)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + 77. Calculate the remainder when 123 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-30)\/(-16))*(-768)\/(-600). Let d = -2\/125 - k. Sort d, -1\/2, 9, 0.3 in ascending order.\nAnswer: -1\/2, 0.3, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/((-280)\/1470).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-11*y - 7*y - 2*y)*(-2*y - 1 + 1).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrumrzmsmzssszzr. Give prob of picking 1 s, 1 z, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 4) in base 2?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o + 25*o - 8*o - 4*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 + 4*y - 2. Let l be b(3). Let q be ((-20)\/(-25))\/(l\/(-20)). Solve c + 3 = -q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201431.\nAnswer: 157, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1319*y + 278 - 20294 - 12048 = 17*y for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*g - 4*x + 16, 2 = 2*g - 2*x. Let d = g - 8. Which is the smallest value? (a) d (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 1\/48*d**4 + 0*d**3 + 0 - 11*d - 1\/8*d**2. Solve j(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-336) - (-210)\/(-1120).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11823508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-149 - -137) + 21 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38444 is divided by 38090.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + 17. Let c = 34 + z. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5908038 and 62768?\nAnswer: 7846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2797162\/3374807 - 2\/273633. Let q = -2136\/9065 - -18\/245. Let g = q + d. What is the nearest to g in -5, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 5*s**2 - 35*s - 138. Determine i(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 50 - 5*x - 40 - 35. Let g be z(-4). Let n(d) = 2*d + 6. Calculate n(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13081 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -287.84 + 284.84. What is the fourth smallest value in -11, -349, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from {c: 1, n: 1, h: 4, i: 9, z: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, w: 2}. What is prob of sequence cww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2101801?\nAnswer: 13, 107, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -210860500 rounded to the nearest 1000000?\nAnswer: -211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13529261 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -5, -11, -19, -29?\n\"Answer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4547943481 to the power of 1\/2, to the nearest integer?\nAnswer: 67438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25747754 or -25747784?\nAnswer: -25747754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Suppose 5*i = -u*m + 45, -2*i - 3*m = -m - 14. Suppose 0 = 2*o + 2, -10*o + 9*o + 45 = v. What is the remainder when v is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 not equal to 3259496\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 - 0)\/1)\/(-2). Let l be (1 + 3\/(-2))*m. Let z(h) = h**3 - h - 6 + 4*h**2 + l*h - h. Calculate z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - z. Let c(i) = 5*i**2 + 15*i + 9. Let n(g) = -c(g) - 4*w(g). Calculate the remainder when 42 is divided by n(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - b61?\nAnswer: -b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 391 and 195?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(153) - 2*sqrt(153))*-1)\/(-2*sqrt(9)*6).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2858.581ml in litres?\nAnswer: 2.858581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 6*n - 58. Is 7 a factor of 0 + (3 - 3) + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571991529062.47 less than -4?\nAnswer: -571991529066.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.8195 and -49.2.\nAnswer: -36.3805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35517.75 times 5?\nAnswer: 177588.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605*n**2 + 1210*n**2 - 607*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 7 = -113*a + 118*a, 0 = 3*a + 5*f + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 9*x**2 - 7*x + 5. Let g be t(-8). Let s = -20 + 59\/3. Let h = -0.4 + 0.5. Which is the closest to 2\/3? (a) h (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 14*n - j = 2, 3*n + 4*j + 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -7 - -2) + -1 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408420917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 + -122. Let l = j + 39. Calculate the greatest common factor of l and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1 + (-1 - -1)). Let n = t - 2. Let h = -10252.6 + 10253. Put n, 8, h in increasing order.\nAnswer: n, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -1c?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + sqrt(108)*2 + sqrt(108) - (sqrt(108)*2 + -2 + -1*sqrt(108) + -5))**2.\nAnswer: 240*sqrt(3) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4\/15 + 1413124*n**3\/15 + 249636125882*n**2\/15 + 499208662984*n + 3743906002680 = 0.\nAnswer: -353266, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54355 or -54357?\nAnswer: -54357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 - -6797190407.\nAnswer: 6797190407.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808066.\nAnswer: 2, 7, 57719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0571089 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23987\/360255 - -2\/24017. Sort 0.1, -5\/2, c in ascending order.\nAnswer: -5\/2, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 3\/2, -32\/17, 1?\nAnswer: -32\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3179 - -3.6821. What is the third biggest value in 2\/5, f, -119\/6?\nAnswer: -119\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1086 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 12 = 0. Let q(f) = -3*f**2 + 7*f + f**2 + 3 + 8*f**2 - 5*f**2. Is 21 a factor of q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/17 - 62*j\/17 - 336\/17.\nAnswer: -2*(j + 7)*(j + 24)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236021116 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - (sqrt(192)*-1 + 1)))**2*-3.\nAnswer: -5187 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*-3*sqrt(132)*-5)\/((sqrt(108)*2)\/sqrt(9)*-1).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16370 and 2?\nAnswer: -32740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((1\/35)\/(106\/1060))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l + 5*l. Suppose n + l = -4. Which is the nearest to -0.2? (a) -0.1 (b) n (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1014732 and -0.029.\nAnswer: -29427.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 e, and 1 t when three letters picked without replacement from kktekvg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhjmhtp. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = s - j - 7, 2*s = 4*j + 28 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*i, 277*h - 282*h - 2*i + 35 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2624\/18 + 11*(-8)\/(-396). Calculate the highest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 12*l**2 + 3*l + 43. Calculate g(-11).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b**2 + 14*b - 43. Let t(u) = 5*u**2 + 7*u - 18. Give -2*j(x) + 5*t(x).\nAnswer: 3*x**2 + 7*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9 - 2*d + 3*d + 2*d**2 - d - d. What is the lowest common multiple of 40 and o(-3)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4\/7 + 25*x**3\/7 + 87*x**2\/7 + 9*x = 0.\nAnswer: -21, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.982 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 4. Let c be h(0). Let z be ((-2)\/(-4))\/(c\/(-16)). Factor -2 + z*q - 2*q - q + 3*q**2.\nAnswer: (q - 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 1. Let t be o(3). Let u = t - -2. Suppose 4*k - 3*r - 35 = 0, -k + u = 5*r - 3. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 37*s + 128 = 4*y, -46 = 15*y + 62 - 33 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8719645 to the power of 1\/2, to the nearest integer?\nAnswer: 2953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 14\/111 and 19411 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 18 + 10*p + (2 - 4 + 0)*(2*p + p - 5*p) + 3*p - 3*p - p)*(2 + 0 - 1) as s + i*p and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 665\/18 (c) -2\/7 (d) -0.2 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.5, -0.3, 0, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2586 - -9023. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -373*c**3 - 482*c**2 - 6*c + 29938464?\nAnswer: -1119*c**2 - 964*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let x(t) = 2*t**3 - 2*t**2 - 2*t + 2. Let k be x(2). Let l be ((-8)\/k)\/(2\/(-3)). Let s(o) = -12 - 4*o**l + 12 + o**2. Give s(v(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1013 + 1009. Let a be 62\/(-4) - (-7 + 8). Let v = a + 17. What is the nearest to v in b, 1, 6\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Let b(x) = -x. Let v(m) = a(m) - 4*b(m). Let i(q) = q. Give v(i(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(1\/4)*s)*s)**(-1\/20)\/(s**(-2)*s*s*s**(-1)*s) assuming s is positive.\nAnswer: s**(-7\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 850000 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31085 + 31085 - 15*c**3.\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 9*t - 13. Let j be w(10). Let o = j + 5. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/13 - 28*t**3\/13 - 1160*t**2\/13 - 6800*t\/13 = 0?\nAnswer: -10, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 75498.78 centuries?\nAnswer: 754987.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.6278kg in micrograms?\nAnswer: 209627800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3896 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778107987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153771, -615109, -1384011, -2460483, -3844531, -5536161, -7535379, -9842191?\nAnswer: -12456603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**7\/14 + s**4\/4 - 5*s. Find the third derivative of n(r) wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86*((-14)\/3*(-306)\/(-714))\/(-2*2)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.1 - 9. Let m be ((-136)\/80 - -2)*-4. Is m >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035709205 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-7) + (-8)\/14. Let i(d) = k*d + d**2 + 3*d + 8 - 27 - 2*d. Is i(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17941.827 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*h)*(4*h**4 - 3*h**4 - 4*h**4) - 154*h**5 + 6*h**5 - 70*h**5.\nAnswer: -206*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*((g**(3\/7)\/g)\/g)\/g*g)\/g*g*g\/(g**(-7)*g)*(g\/((g\/(g**(-5)*g*g))\/g))\/g**(-8))\/((g*g**(-4))**(-49))**36 assuming g is positive.\nAnswer: g**(-36950\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 16*n + 294 = 0. Let u = -38 - -36. Let x be 1*n\/(-4)*u. Solve -x*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.4 (b) 4 (c) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -7) + (2 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1200)\/(-36))\/(-25)*652797\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5467596 is divided by 35274.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6751 is divided by 218.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*a*d**2*p - a*d**2 - 2*a*d*p + 16*a*p + 9*d*p wrt d.\nAnswer: -108*a*p - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 13. Let u = 4 + d. Let z(f) = f**2 - f. Let q(s) = -2*s**3 - 4*s**2 + 3*s. Let a(b) = u*z(b) - q(b). What is the third derivative of a(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by 1\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8319*a**3 + 26946*a**3 - 75*a**3 - 3011*a**3.\nAnswer: 32179*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 858718 to the power of 1\/2, to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*w - 512 - 1374 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -86*m - 271. Give s(7).\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 5*y - 24. Let c = 32 + -10. What is the least common multiple of y and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-10))\/(295\/118)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45492678 divided by -42?\nAnswer: 1083159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174147 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 2*f + 28, 20 = -t - 5*f + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9063389827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/3 + (-224)\/(-4). Suppose v*h + 20 = 71*h. What is the smallest common multiple of h and (-1*1)\/((-2)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417688023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 98. Let g(z) = -z + 4365. Calculate m(g(l)).\nAnswer: -l + 4267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.67406 rounded to 1 dp?\nAnswer: 171.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {r: 2, c: 6, l: 2, h: 1, f: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p + 18 + 8 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.2486\nAnswer: -0.9944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1224038 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 231358601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(153) - 4*sqrt(153)*-4)**2*-5 - ((sqrt(2754)*-3)\/sqrt(2)*-1)**2).\nAnswer: -233483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + 0 - (1 + sqrt(3) + 0).\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638906585?\nAnswer: 3, 5, 109260439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3333 = u, 7*j - 3*j = u + 2667. List the prime factors of j.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 5244833?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (-128)\/(-70))\/((-18)\/(-60)). Put 4, -0.3, s, -2 in descending order.\nAnswer: 4, -0.3, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*s**2 - 23*s + 11*s + 15*s)*(2*s - 15*s**2 + 2*s**2 + 10*s**2).\nAnswer: -42*s**4 + 19*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18681, -37351, -56013, -74667, -93313, -111951?\nAnswer: -130581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let f(r) be the first derivative of -4*r**3\/3 - 44. Calculate -6*f(z) - 30*l(z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -1 (c) -45 (d) -2\/9 (e) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133952 is divided by 4784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.27307 + 19.51207. Let u = 0.139 - w. What is u rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -14*a**2 + 14*a - 22. Let v(w) = 13*w**2 - 21*w + 23. Determine 3*s(r) + 2*v(r).\nAnswer: -16*r**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**4 - 1114198*f**3 - 16*f**2 - 2*f + 63844.\nAnswer: -72*f - 6685188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, -245, 1319 in decreasing order.\nAnswer: 1319, 1.9, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.5 - -11.4. Suppose -4 - 20 = 3*v. Let d = v + 10. What is the closest to d in t, -0.4, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-124)\/(-120))\/(-31))\/(4\/(-610)) and -1\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (3 - 36\/4) + 7360 + -26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7625, 7624, 7623?\nAnswer: 7622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 107. List the prime factors of x.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 16) + (-8)\/32*-40 + 49.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c386 (base 14) to base 7.\nAnswer: -640026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1030)\/15)\/(3\/(-18)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + k - 66 = 73, -4*k - 4 = 0. Suppose -o = -f + 16, -3*o + 5*f - 9 = 31. Let b = o - v. What is the greatest common factor of b and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c + 102. What is l(-31)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b + 5*b - 27 - 5*b - 5*b. What are the prime factors of h(-12)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3009*r - 3012. Give h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -271 - 38. Let a = -317 - s. Is 0.2 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 423 + -418. Suppose 2*z - 478 = -2*f, -511 = -u*z + 4*f + 693. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f + 11. Give x(17).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 7. Let p(o) = -o - 15. Let d be 133\/49 + 4\/14. Suppose 5*c + 64 = -d*c. Let l be p(c). What is g(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17315154463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 931950270 + -220190270. Round i to the nearest 1000000.\nAnswer: 712000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -12974.\nAnswer: 3\/12974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136130*j**5*x - 141736*j*x wrt j?\nAnswer: 2722600*j**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 70, -2, -32.\nAnswer: -32, -2, 2, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*l = -72*l - 144 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 18 + 0 + 0*t - 10. Let h be y(-7). Let j be 3 - 1 - (1 + h). Solve j = i + 5, -2*z + 20 = -2*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, -46 in decreasing order.\nAnswer: 5, -2, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-220320)\/(-19040)*(-7)\/3\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 616104 and 1152?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73, -287, -615, -1033, -1517, -2043, -2587, -3125?\n\"Answer: 4*p**3 - 81*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(75) + 0) + (sqrt(75) - (sqrt(75) + -1 + sqrt(75)) - sqrt(75))*6)*-4)**2.\nAnswer: -10560*sqrt(3) + 145776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*p**2 - 67888*p + 3072455 with respect to p.\nAnswer: 18*p - 67888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -186261\nAnswer: 558783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813439938.\nAnswer: 2, 3, 31, 4373333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 59.14. What is z rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7833940.\nAnswer: 2, 5, 17, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 6*u - 6. Let b be h(-8). Suppose -6*r + r = -b. Suppose -4*a = -26 - r. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90437215 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2607 and 189871?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/l)\/l)**(-21)\/((l\/(l*(l**(-2\/7)*l)\/l))\/(l\/l**(-2\/3)))*(((l*l**(2\/7))\/l)**43)**(1\/6) assuming l is positive.\nAnswer: l**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*k + 12 = 147, 0 = 2*j - 4*k - 36. Is 14 a factor of 42\/(-4)*j\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - 26\/(-8). Solve -5*c + 32 - 9 = y, p*c + 3 = 5*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-46)\/(d**8\/((d\/(d*d**7)*d)\/d)) assuming d is positive.\nAnswer: d**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*d**2 - 1 - 253*d + 47*d**2 - 11*d**2 + 72*d - 12*d**2 to the form f*d**2 + t + g*d and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(4\/8)\/(-1). Let i be ((-126)\/(-7))\/(a\/19). Suppose -6*c = -i - 1167. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c - 3. Let n(p) = -p. Let b = -20 - -15. Determine b*n(m) + a(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 2*c. Let x be m(-4). Let y = x + 11. Sort -4, 5, y in increasing order.\nAnswer: -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a55 (base 13) to base 3.\nAnswer: -2102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*(((-6402)\/396)\/(-97))\/(2*2\/(-12))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {r: 1, p: 1, k: 1, w: 2, u: 1, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 5 + 2*v + 1. Let j(t) = 4*t + 19. Let l(r) = 7*h(r) - 2*j(r). Determine l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -40. Suppose 0 = -b*t + 3*g + 21, g - 29 = -0*t - 3*t. Suppose 0 - t = -v. Calculate the highest common factor of 27 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2 + 142*d - 5041 = 0. What is d?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/4)*y\/y**1*y**2\/(y*y\/(y*y**(-2\/9))) assuming y is positive.\nAnswer: y**(37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1559 and 7?\nAnswer: 10913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from iilnxirxxiii?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -25*n**2 + 4*n + 2. Let j(d) = -26*d**2 + 5*d + 2. Give 6*j(y) - 7*q(y).\nAnswer: 19*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5\/3))**(4\/13)\/(h**2)**(-3))**(-16\/9) assuming h is positive.\nAnswer: h**(-3424\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38611477?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 266\/8 - 2\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/8)*j*j**(-18)*(j**(1\/4)\/j)**(-18) assuming j is positive.\nAnswer: j**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -11*o**4\/6 + 128*o. Let x(b) = 13*b. Give x(y(m)).\nAnswer: -286*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.92 and 5.\nAnswer: -29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 13*n**2 - 9*n + 3. What is the remainder when h(7) is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204 - 122. Suppose o = 5*d - 53. Let y = 97 - 87. What is the least common multiple of y and d?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/30 + l**4\/6 + l**3\/6 + 132*l**2 - 2*l + 58. Let c(x) be the first derivative of t(x). Calculate c(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054305 to 7 dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjtj when four letters picked without replacement from {t: 2, a: 1, j: 2, n: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 71*a + 1512 = -168*a - 72*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i. Let f(h) = -32090*h + 84. Calculate l(f(x)).\nAnswer: 128360*x - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1926\/511 - -4\/73. What is the common denominator of f and ((-432)\/(-92) + -4)\/(10\/(-7))?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -691 + 981. Suppose -5*u - 2*b = -n, 0 = -2*u - 3*b - 2*b + 116. Suppose -a = 5*v - u, a - 59 - 6 = 2*v. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 440*r - 12 - 437*r - 7*r**3 + 13. Let k(o) = -20*o**3 + 8*o + 2. Calculate 8*j(v) - 3*k(v).\nAnswer: 4*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)\/v**(2\/11))\/((v\/(v\/v**0))\/v*v**(-2\/5)))**(-39\/4) assuming v is positive.\nAnswer: v**(6201\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6423, -13291, -20159, -27027, -33895?\nAnswer: -40763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 930*z + 0*z**4 + 908*z - 1820*z - 31*z**4 wrt z.\nAnswer: -372*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28628779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 1\/5 (b) 13612\/59 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 6*g - 64. Suppose g = 13*p - 12*p. Solve 0*h - 4*h = -p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**2 + 16*c**2 + c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/336 and -61\/9858?\nAnswer: 552048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -1\/7, 67, 0.05, -0.9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*i + 108256, -i + 16718 + 10336 = d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a + 263 = -14*a - 577 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 2, p: 2}. Give prob of picking 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 391 (b) 0.4 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 95*o**2 - 44*o + 188. Let k be f(-48). Which is the smallest value? (a) 232 (b) -1\/6 (c) 0.2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*u + 22 = 599*u - 2*r, 2*u - r = -3*r + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(1176) - sqrt(24) - (sqrt(24) + sqrt(216)*1))\/(sqrt(88)\/(sqrt(99)\/(sqrt(108)\/sqrt(12)))).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-30))\/((-4)\/30)*(-17736)\/(-552033)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s. Let d(o) = 2*o - 1. Let z(c) = 27*c - 16. Let t(r) = 7*d(r) - z(r). Give t(l(w)).\nAnswer: -39*w + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/5553 and 71\/4.\nAnswer: 22212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 124?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 56, 0 in descending order.\nAnswer: 56, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*s - 3*s**2 + 170*s - 90*s in the form f*s + p + u*s**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2))\/b*b**(-2\/5)\/b assuming b is positive.\nAnswer: b**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (1*sqrt(130) + sqrt(130) - sqrt(130)))*4)\/(3*sqrt(30)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37107 is divided by 4095?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 17)\/(8\/(-16) + (-26)\/4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385589302 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*s - 0*s + 72, -3*h + 134 = -s. Calculate the remainder when 228 is divided by h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3. Let c(x) = 1. Let k(l) = -8*c(l) + 3*j(l). Let b(r) = 2*r**2 - 2*r - 1. Let a(p) = 2*b(p) + 4*k(p). Is 5 a factor of a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1621, -4081, -8293, -15133, -25477?\n\"Answer: -146*n**3 - 1438*n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 88*h - 635. Let f be d(-9). What is the fourth biggest value in 0.2, 0, f, 0.1, -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38620, 75, 10, 3 in descending order.\nAnswer: 38620, 75, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**6\/30 + d**4\/12 - d**3\/2 - 2*d**2 + 4. Let n(j) be the second derivative of m(j). What is the tens digit of n(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.562109 rounded to two decimal places?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1601586258 by 6.\nAnswer: 266931043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 375 = -18*x. Calculate the remainder when x is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 76, 4.\nAnswer: 0, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - x = -32014, -3*x + 4*x = 2*z - 32022. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 676 divided by 412.\nAnswer: 169\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1\/4, 0.08, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + b + 2. Let h be q(2). Suppose h = 5*p - 72 + 27. Let a = 5 - p. Sort a, 4, -1 in ascending order.\nAnswer: a, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 - 255a4?\nAnswer: -25580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/i)\/i**4*i**1*(i\/((i\/(i**6\/i*i*i))\/i))\/i*((i**(-1\/2))**(-1\/72))**(-24) assuming i is positive.\nAnswer: i**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15383.\nAnswer: 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -321 * 0.5\nAnswer: -160.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8 + 1 - 24 + 4 + m + 12. Let c(j) = j - 5. Let a be c(7). Let y(s) = -6 - 73*s**2 + a - 7*s + 74*s**2. Give -6*o(f) - y(f).\nAnswer: -f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/9*(-18)\/(-12). Suppose 2*i - 4*b = 84 + 44, -i + 68 = u*b. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009742 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2416 by -1.\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 + -113. Which is the closest to 0.7? (a) i (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -1513, -4146, -7913, -12814, -18849?\nAnswer: -26018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-13)*a)\/a*a)\/a**(6\/5) assuming a is positive.\nAnswer: a**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*f + 439, 5*f + 2*w - 656 = 2*f. Calculate the remainder when f is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1035734, 1035732, 1035730, 1035728, 1035726?\n\"Answer: -2*m + 1035736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 14 = -3*x + 20, 5*h + 7 = 4*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29674 and 11228.\nAnswer: 415436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*v + 5*v + 138 = 0, 0 = -v + 3. Suppose 0 = p + 3*p - q. Suppose -w + 4*a + a = p, 0 = -5*w + 4*a + 18. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 379132479 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 1 o when three letters picked without replacement from {d: 3, j: 3, z: 1, o: 5, t: 4, b: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -1071460\nAnswer: -3\/107146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = p - 2*l, l - 1 = 0. What is the remainder when (-16)\/6*(-42)\/p is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4588392 and 47\/132.\nAnswer: 50472312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.2. Let l = 454 - 452. Put l, 0.1, c in increasing order.\nAnswer: c, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-198)\/(-8))\/((-7)\/(-56)). Calculate the greatest common factor of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/587 - 47727\/11740. Let y = -24281\/10 - -2433. Calculate the common denominator of y and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-144300072)\/(-10) + 48\/(-40). Suppose -9*y - 24049992 = -4*y + 4*o, 0 = -3*y + 3*o - a. What is y rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/2)\/(-15 + 196\/14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*j + 0*j + 262 = 0, 4*q = 2*j + 518. Suppose 4*v - 2*y = q + 872, 4*v - 999 = 5*y. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 2 + (2 - 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 8*l = -2. Let m(p) = 2*p + 2. Let c = 38 + -36. Let f(q) = 8*q + 8. Let o(x) = c*f(x) - 9*m(x). Give o(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813*g + 5*r = -809*g + 23, -4*g = -3*r + 17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (8 - (-5 - -11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-204)\/90)\/((-3)\/10) and 42\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 1. Let o(w) = 4*w + 3. Let c(p) = -6*j(p) - 2*o(p). Let n(m) = -7*m. Calculate 22*c(a) - 6*n(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 7)*(-6 - 2*r + 6)*(0 + 1 + 2).\nAnswer: -72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515584, -1026350, -1537128, -2047924, -2558744?\nAnswer: -3069594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091700087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 16 = -w + 9*a, -16 = -5*w + 4*a. Solve w = 2*o - 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i = 26*i - 15. Suppose i*z + 652 = 5*z. Let j be z\/10 - (-18)\/45. Calculate the greatest common factor of j and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -522.23884433 - 5.04.\nAnswer: -527.27884433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2807062 - -27?\nAnswer: -2807034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/15 + -2)\/((-3)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -6. Which is the third smallest value? (a) x (b) 3\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**5 + 4040*t**4 - 896285*t**3 + 32316530*t**2 - 286736780*t - 709974760 = 0.\nAnswer: -2, 22, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(-22)*(u**(1\/4)\/u)**(-6) assuming u is positive.\nAnswer: u**(97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20885 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d. Suppose 0 = -3*j + 3*i + 3, 3*i + 8 = -5*j + 37. Suppose 5*a + j = 9. Calculate t(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 5:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -11. Suppose -4*c - 3 = n + 2, -4*c = 2*n + f. Solve -b - 4*r + 8 = c, -b - 2*b = 4*r - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or 159\/2?\nAnswer: 159\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-120)\/50)\/(4\/(-10)). Solve -b - 19 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/36 - 2*q**3\/27 - q**2\/18 - 14. Factor y(u).\nAnswer: -u*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (17 - (9 + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 2, s: 2}. Give prob of picking 1 r and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 304*t**3 + 95*t**2 - 95*t + 95. Let w(z) = -19*z**3 - 6*z**2 + 6*z - 6. Determine -6*h(d) - 95*w(d).\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 - (188 + -80 - 77).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 480 in descending order.\nAnswer: 480, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3703 + -3699. Calculate the smallest common multiple of j and 2267.\nAnswer: 9068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c - 3710. Let r(p) = -p**2 + 277. Let v be r(17). Calculate the remainder when 38 is divided by (c\/(-8))\/7 - (-3)\/v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/19500384 and -37\/1824.\nAnswer: 19500384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 10:26 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-9)*(0 - -89). Let c = -75 - y. Calculate the remainder when c is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*l + 161433, 4*l + 53805 = 9*p - 8*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 316.9526 + -317. Let l = -0.0245 - k. What is l rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/5)\/((-10)\/(-425)). Let o = 39 + a. Solve o*f - 10 = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 7*j - 6. Let p be o(5). Suppose m = -4*h + 55, -m + p*h = 2*m - 101. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t - 3*t = -44 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, x: 7, y: 2}. Give prob of picking 2 x.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5*(-6)\/10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376677 a multiple of 1825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**5\/4 - 3*f**3 - 20*f**2 + f. Differentiate u(m) with respect to m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -k - 9, -42*t = -2*k - 47*t - 23 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/3)\/((-10)\/15*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**4 - 3*a**2 - a + 5.\nAnswer: -60*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 2 = -i + 18*c, 11*i + c + 12 = 8*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48123157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -204944502 and 190.\nAnswer: -204944312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01035621 rounded to 4 decimal places?\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81948971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158824?\nAnswer: 2, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1557096080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 2*a + 10. What is the tens digit of (-630)\/(-20) + a\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 6) to base 4\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 1. Let j(u) = -u + 40. Suppose -q - 23 = -21. Let c(d) = d - 19. Let f(o) = q*j(o) - 5*c(o). Let t be f(5). What is m(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 1848?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 28 + 163 = 0. Let m be (12\/u)\/(18\/27). Let v(d) = -5*d**2 + 5*d - 5. Let a(j) = 3*j**2 - 2*j + 2. What is m*v(r) + 5*a(r)?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91645755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -68*d + 63*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 2 - -4 - (-4 + -14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 12. Let o be n(6). Let d be (27\/o)\/((-2)\/(-4)). Let t(m) = 10*m**2 - 6*m**2 - 4*m**2 + d*m**2. Let i(b) = 2*b. Determine t(i(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4)*(-8)\/(-10). Suppose -3 = -r*x + x. What are the prime factors of -113*-1*(-2 + x)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 14. Let x(r) = r**3 - r**2 - 2*r + 14. Calculate the smallest common multiple of x(0) and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v*v**(-2\/23))\/v)\/v**(-3))\/((v\/v**(5\/2)*v*v)\/v**15) assuming v is positive.\nAnswer: v**(893\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.153 in -6.1, 27, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1113372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/4 + -5 + (1995\/20)\/19. Let u be 14\/((-4)\/(-2))*-1. Let p = u - -15. Solve 4 = a*o - p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**2 + 135*w + 406. Let h be c(25). Let r(b) = b**3 + 4*b**2 - 4*b. Let f be r(-4). Solve 3*s + f = h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-3\/10)*q)*q*q**17\/q)**(-12))**32 assuming q is positive.\nAnswer: q**(-33216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j. Let b be (-2)\/(-15)*21\/(-35). Which is smaller: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 862 = 2*i + 5*j, 6*i = 10*i - 4*j - 1780. Which is smaller: 446 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**12)**24\/(w**(2\/43)\/w*w*w**(-6\/17)*w) assuming w is positive.\nAnswer: w**(210021\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 1. Let l(p) be the second derivative of p**4\/6 - 8*p. Determine 2*l(y) - 2*u(y).\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 243*j**2 - 6*j - 4. What is the units digit of d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 112702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 500*t**4 - 1578*t**3 - 2477089*t**2.\nAnswer: 12000*t - 9468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*z - 4, -5*w + z + 2*z - 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1456 + 2752. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2)\/8*(-4)\/(-11).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3) + 40\/10. Solve 6 - r = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633884 plus 0.065027?\nAnswer: 2633884.065027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 + 2174108?\nAnswer: 2173856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*o**3 - 414*o**2 wrt o?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2299)\/209)\/((-16)\/(-576)*-9)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599 = 11*l + 632 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - sqrt(243)*2*-2)**2.\nAnswer: 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 0, -6, -14, -24, -36, -50?\n\"Answer: -h**2 - h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*y = -5, 0 = 1210*j - 1214*j + 3*y - 37 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 17*b - 416. Let i = b - 107\/4. Which is greater: -21 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = m + 3*u - 3, -5*m - 2*u = -18. Suppose -5*w + 3*w + 69 = 3*t, 5*w - 184 = m*t. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 1 = -4*w. Let d = -0.05 + 0.05. What is the nearest to 0 in w, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 1. Let o(m) = 3*m - 5. Suppose -5*y = l - 14, 5*l = -36*y + 33*y + 26. Calculate l*b(x) + o(x).\nAnswer: -x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/88*(4 + -4). Let v(i) = i**3 + i**2 - 2*i - 1. Let q be v(-3). Let c = q + 13. Solve y*o - 5*o = c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 709680.\nAnswer: 709680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17803 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 415*t**3 - t**2 + t. Let d be y(1). Let m = 43 + d. List the prime factors of m.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2955 - 150403706\nAnswer: -150403705.7045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19731\/266 - -1522\/19. Let j(m) = 5*m**2 + 5*m - 3. Let v be j(-6). Find the common denominator of y and 26\/24*v\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5057, 5480, 5903?\nAnswer: 6326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 204503896721669 - 1.\nAnswer: 204503896721668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11332 divided by 1156.\nAnswer: 2833\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohaagggjkgjhh. Give prob of picking 1 h and 1 a.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 23*x - 24*x - 3 = 0, o = 5*x + 15. Sort 4, o, 1, 3 in ascending order.\nAnswer: o, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62018280605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1300 and 11284?\nAnswer: 282100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -238*c + 219*c - 95. What is the smallest value in c, -1, -6, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/51, -0.2, 5.\nAnswer: -0.2, -10\/51, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -29. Suppose -5*n - 20 = -x*n. What are the prime factors of n\/(-25) - (-239)\/5?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*k**6 + 3*k**4 - 2*k**2 + k wrt k.\nAnswer: 4080*k**3 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, 121, -5, 2, -6, 29 in descending order.\nAnswer: 121, 29, 2, -5, -6, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, o: 7, z: 1, w: 3}. Give prob of sequence woz.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/166452 and 7\/36491400.\nAnswer: 474388200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 548066 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-1350)\/85 + 74\/(-51).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 2*h**2 - h - 2. Let q be b(2). Suppose 4*w - q*g = 168, -5*w - g + 2*g = -190. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/68*((-195)\/(-75))\/13.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2921283384 to the power of 1\/3, to the nearest integer?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 10:49 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Suppose -3*i - 6 = -4*m, -m + j*i = m - 8. Let -2\/9*t - 2\/9*t**5 - 4\/3*t**3 + 8\/9*t**4 + 8\/9*t**2 + m = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -2*b**4 - 23*b**3\/6 - 25*b**2\/2 + 8. Let s(i) be the second derivative of f(i). What is the tens digit of s(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = 6*l. Let t(g) = 2*g**2 + 3*g + 4. Let w be t(l). Solve 16 = -w*c + 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310766545 by 62153309.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b**2 - 2*b + 1. Let q be 3 - 2 - (1 - 0). Let o(j) = -j**3 + j**2 + j - 4. Let y be o(q). Let f = 5 + y. What is s(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let o = 822 - 829. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 5*m**2 + 3*m - 6. Let i be z(5). Suppose 16 = 2*g + 4*l - 8*l, 3*l = -2*g + i. Solve 0 = -f + g*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6206 + -3896. Does 42 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmnnmnnnnnnnnmnnnnn. Give prob of picking 1 n and 1 m.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geqecceucecucea. Give prob of sequence ac.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-3662\nAnswer: 292.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4931 - 9853 + 4924 - 2*x**3 + 117*x**2 to k*x + v*x**3 + p*x**2 + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + p + 5 + (-2 - 3 + 3)*(p + 3*p - 2*p) + 0 + 0 + 2*p + 0*p + p - 4*p + 3*p - 25 + 4*p - 8*p in the form z*p + f and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*i - 4*t - 16 = 179*i, 3*i - 3*t = 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370414 and 8454886.\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(42))\/sqrt(6).\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 4*q**2 + 9*q - 6. Let b be s(7). What is the remainder when 145 is divided by ((-2)\/((-4)\/6))\/(b\/(-1110))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 93 = 10*c - 487. Solve -y + 19 = -4*t, -3*y = 3*t + 2*y + c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2 + 2)*(0*m**2 - m**2 - 8*m**2)*(3 - 8 - 8).\nAnswer: -117*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + -3. Let s be (c\/8)\/(-3)*-12. What is the highest common divisor of s and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-135)\/6 - 27\/(-18). Let v be w\/(-14)*30\/9. Suppose 2*z = -v*b - 6, -2*b = z + 3*b + 8. Solve -z*j = -1 + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 35 + (-341)\/31.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 9 + (-4 + 1 + 5)*(-10 - 10 - 2))*(49*y - 123*y + 50*y)*(1 - 2 - 2).\nAnswer: -3384*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 505*q + 3897*q + 218999 - 51723 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x - 16 = b, -16 = 3*b - 4*x. Let t(h) = h**2 + 8*h - 8. Give t(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/6 + 3205*j**4\/6 + 1909496*j**3\/3 + 1000133554*j**2\/3 + 192061176160*j\/3 - 1394093590400\/3 = 0.\nAnswer: -920, -686, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*w + 46*w + 40*w - 20*w - 2148 + 2150.\nAnswer: 120*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2. Let q(f) = 20*f + 2*f**2 - 20*f. What is m(q(x))?\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 734235 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)\/(h\/h**8))\/(h**(7\/6)\/h)**(2\/9) assuming h is positive.\nAnswer: h**(1262\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112.58946 - 0.2953.\nAnswer: -112.88476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-5) - (-7)\/((-70)\/(-4)). Let j be 70\/966*(-6)\/(-5). What is the biggest value in -5, j, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 324*k**2 + 12561*k - 1436. What is u(-359)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 8, 6, 0, -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 54*s + 5. Let g(i) = i - 1. Calculate 4*g(u) + p(u).\nAnswer: 58*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81710*p = 81722*p - 144. Solve -p*r - 20 = -17*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from lbryo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 12*a**2 - 34*a + 8. Let r(j) = 11*j**2 + 2. Give c(r(i)).\nAnswer: 1452*i**4 + 154*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2611 - 710 - 1073 + 3*l**2 - 5*l**2.\nAnswer: -2*l**2 + 828","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 994 + 202 = 0. Suppose 8*b - 84 - 20 = 0. What is the remainder when v is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11039 times 4998?\nAnswer: 55172922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1017787895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 1. Let x(c) = -c - 2. Let s(a) = -4*q(a) + 3*x(a). Let m be s(-1). Is m greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 6) to base 12\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 111200002?\nAnswer: 111200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.045 (b) 0 (c) -3 (d) -3\/5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {x: 4, l: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*i + 64, m = -2*i - 18 - 1. Let y be 2\/(24\/m + 2). What are the prime factors of (11 + -1)*y\/5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-234)\/(-390)*8\/(-6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.541583 centuries to months.\nAnswer: 7849.8996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = 0, 4*b = q - 22 + 5. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - ((2*sqrt(85) - sqrt(85) - sqrt(85))*1 - sqrt(85)))\/(sqrt(5) + sqrt(5) + (sqrt(5) + sqrt(320)\/sqrt(4) - sqrt(5))).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.82 - -18.82. What is the third smallest value in -60, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*x + 4*x - 75 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 7 - 8)*(-x**2 + 1 + x - 4*x**2 + 4*x**2) in the form h*x**2 + i + d*x and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -438.556362 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/9 (b) -6 (c) -242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from {f: 2, x: 3, b: 1, l: 5, g: 2, p: 7}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 8. Let w be 0 + (-24)\/10 - -2. Put 2, w, z in decreasing order.\nAnswer: 2, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -124*v - 3. Let j be a(-1). Calculate the greatest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - 1) + 2)\/(54\/1188)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30\/17, 0.5, 0.6, -0.1, 150 in decreasing order.\nAnswer: 150, 30\/17, 0.6, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40050367996*r**3 - 16 + 40050367992*r**3 + 16.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 divided by 33710?\nAnswer: 327\/16855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1915.78149 milliseconds?\nAnswer: 0.000022173396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -396689, -793094, -1189499, -1585904?\n\"Answer: -396405*o - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 14*v**4 + 25*v + 76. What is the first derivative of b(c) wrt c?\nAnswer: 168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 42 = 2*u, 2*h - 3*u = 2*u + 14. Let b = 121\/7 - h. What is the nearest to b in 2\/9, -0.4, 1\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4885.793 microseconds?\nAnswer: 4885793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 7:26 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -12724584 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, -6334, -1.7 in descending order.\nAnswer: 16, 5, -1.7, -6334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -391, -601, -829, -1081, -1363, -1681, -2041?\nAnswer: -2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*u**4*v + 146*u*v + 866*v wrt u?\nAnswer: 100*u**3*v + 146*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011001001 (base 2) in base 11?\nAnswer: 133a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -324*m + 138*m + 9360787 - 2701243. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17*j**3 - 2*j**2 - j - 8. Is h(-3) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 10251 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s**(-9)*s)\/s*(s*s\/s**(1\/7))\/s)**(-2\/15)*s**4*s\/(s*s\/(s\/(s\/(s\/(s**4\/s)))*s*s)*s)*s**(-2)\/s**(-6) assuming s is positive.\nAnswer: s**(716\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c**2 - 57*c + 2. What is m(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 72488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 8764926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5\/3 - 80*l**4 - 1384*l**3 - 8176*l**2\/3 + 62900*l - 120000 = 0. Calculate l.\nAnswer: -25, -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5289378 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 8. Let h be (-1 - 1) + 3 + g. What is the biggest value in -0.5, 2\/5, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191198 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*p + 15 - 4, -2*w - 2 = -4*p. Let x be ((1 - -11) + -14)\/(5*p). Factor -8\/5*n + 2 - x*n**2.\nAnswer: -2*(n - 1)*(n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - -2.3. Let y = 11 + -15. What is the closest to -1 in -1, d, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 275272513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5582 - 5582 + 4*v + 20*v**2 + 0*v + 5*v**2 - 9*v**2 - v.\nAnswer: 16*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {v: 5, o: 1, k: 12}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3045 = -11*s + 497. Calculate the lowest common multiple of 4 and s.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1034656 divided by 1034656\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 121000019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Suppose 2*j + 31 = 2*v - j, -4*v + n*j = -60. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -9\/2*g**2 - 82*g - 1\/12*g**4 + 3\/2*g**3 + 0. Give o(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 3*k + 6. Let c = 13 + -8. What is the least common multiple of g(-4) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 s, and 1 d when four letters picked without replacement from gsdsstt.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 0 + 0)*(-3262368 + 10*r**2 + 3*r + 222*r**2 + 3262367).\nAnswer: 464*r**4 + 6*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 309095.1 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**5 - 34077*x**4 + 2841399*x**3 - 62154462*x**2 + 134153760*x + 82972800 = 0.\nAnswer: -5762, -1\/2, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*v - 369 - 226 - 508.\nAnswer: -297*v - 1103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32254782.\nAnswer: 2, 3, 7, 41, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Suppose -3*n + 5*z + 1111 = -0*z, -3*n - y*z + 1143 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 140*k**2 - 162*k - 1656. Determine l(-69).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*s - s**3 + 8 - 8*s**2 + 40*s + 38*s to the form c + l*s + n*s**2 + x*s**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by -121.\nAnswer: 322\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609565611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83102671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.22. Let d = l + 1.98. Let g = 2.2 - d. Is 0.2 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205744 and 1120?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 53. What is the tens digit of 8\/b - (376\/(-6) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -8, 9, 44, 103, 192, 317?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10891281*i - 10891283*i + 56 = 0, -25 = c - i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*z + 19*b - 389*z with respect to b.\nAnswer: -3*z + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42883581 is divided by 790.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-675)\/(-150) + (-16 - -22) + -17\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -4 + 118. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 5\/22, 7?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7744 = 62*y - 1030*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3\/9 + 458*k**2\/9 - 3400*k\/3 = 0.\nAnswer: 0, 25, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 - -1)*(-6)\/15. Solve z - 4 = o, z = r*o - z + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 3*o + 3. Let z(u) = -u - 1. Let k(s) = a(s) + 3*z(s). Let q(y) = 5*y + 3*y - y. What is q(k(w))?\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222 - -221.9. Which is the nearest to d? (a) 0.2 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**5\/60 - 5*s**4\/6 - 25*s**3\/2 + 239*s - 89. Let r(a) be the first derivative of h(a). Let r(x) = 0. Calculate x.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -166. Suppose -4*s + h = -123. Suppose 231 - 236 = -w, 680 = 3*b - 2*w. Calculate the remainder when b is divided by s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4.49 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 9. Let r be s(-6). Let f = 2 - r. Suppose -4*c + 38 = -f*u - 10, -c + 12 = -4*u. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(33)\/sqrt(3))**2*-4.\nAnswer: -80 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/133524 and -31\/25636608.\nAnswer: 25636608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/7 - 4*c**2\/7 - 6*c\/7 = 0. What is c?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*x**2 - 114*x**2 - 53*x**3 - 109*x**2.\nAnswer: -53*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - r = -9, -131*m + 129*m = r - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/5, 0, 0.013, -21, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 3. Let q be ((-50)\/(-15))\/(2\/3). Let w(i) = 4*i - 19. Let k(b) = q*u(b) - w(b). Suppose -f + 0*f = 7. What is k(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/(-232)*2\/18.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27737 + 301777\/11. Let i = 306 + d. Calculate the common denominator of -29\/5 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - l - 5. Let b be h(0). Let r = -38 - -46. Sort r, 2, b, 0 in decreasing order.\nAnswer: r, 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.889 + -24.06. What is f rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/5)*((t**(-2)*t)\/t)\/t)\/(t**(-6)*t\/t**(-1\/8)) assuming t is positive.\nAnswer: t**(107\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -55?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -4. Let y = -11 + f. Let u = y + -4. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -269 less than or equal to -267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19489, -19491, -19493, -19495, -19497, -19499?\n\"Answer: -2*x - 19487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -3. Let g(f) = 7*f + 2. Let o(k) be the second derivative of -29*k**3\/6 - 7*k**2\/2 - k. Let a(s) = 9*g(s) + 2*o(s). Give a(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - q)*(-10 + 18*q + 10)*(-1 - q + 1).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 820 and 29058.\nAnswer: 11913780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0*g**4 + 1\/20*g**5 - g**2 + 0*g**3 - 3*g + 0. Differentiate j(z) wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -811\/6261?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -129. Suppose n = q - 2. Calculate the greatest common divisor of q and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.46072 and 2.\nAnswer: 2.46072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5612 times -0.1\nAnswer: -0.05612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -16. Solve -3*k + i = -2*d + d, -4*k - 5*d + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -18*w - 3. Suppose -w = q - 2*q. Suppose -q*v + 73 + 401 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 629 + -23275\/37. Which is the second smallest value? (a) -2\/19 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a087 + -27?\nAnswer: 2a060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22202031 (base 4) in base 6?\nAnswer: -531433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -21, -18, -13, -6, 3?\n\"Answer: q**2 - 2*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 0, t + 0*t + 2*i - 27 = 0. Let w = 47 - t. Let r = w - 8. Is r at least 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14) - ((-74)\/(-14) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 7\/2. Let z = 317427040027863\/15064 + -21071895901. Let g = 10\/1883 - z. Calculate the common denominator of s and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 802.7 * -0.36\nAnswer: -288.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189\/84)\/(2\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -4*y + t, 2*t = y - 11 - 18. Suppose -13 - y = -5*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/(2\/(-1092)). Let f(v) = -3*v**3 + 27*v**2 - 33*v + 135. Let c be f(8). Let l = z - c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 3*z - 20. Let v = z - -7. Suppose -2*w - 2*w + 12 = 0. Is v != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 86*u - 950. Let h be n(11). What is the nearest to h in -2, -5, -0.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (4*(1 + sqrt(2057)) - sqrt(2057) - -4*sqrt(2057)*-1) + (sqrt(2057) - -4*(sqrt(2057)*-2 + sqrt(2057)) - (sqrt(2057)*-1 + 3)))*5)**2.\nAnswer: -3300*sqrt(17) + 462925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 11 + 1 = 0. Let i be (-1)\/n - (3 - (-335)\/(-2)). Suppose i = -4*a + 161. Let j(q) = 15*q**3 - 2*q**2 - 2*q - 1. Calculate j(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 16*x**2 + x - 2. Let f be n(2). Let l = f + -19. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4673 - -1?\nAnswer: 4674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4377046 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 92278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2779, 2782, 2785, 2788, 2791, 2794?\n\"Answer: 3*y + 2776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(24731\/(-3535) - -7) is divided by 102?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vawanavnwnwnv. Give prob of sequence nnv.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) 1\/3 (c) 2\/5 (d) 1 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s + s - s + (-5 + 2 + 1)*(-s - 1 + 1) + 2 + 2*s - 2)*(-2*s + s + 2*s)*(-7 - 30 - 20) to i*s**2 + h*s + m and give i.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) - (-39)\/15. Suppose c - q = -6. Let k(z) = z**2 + z + 2. What is k(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 12*i + 34. Suppose 123*c = 125*c - 28. Let m be w(c). Find the first derivative of m*t**2 + 25 - 56 + 8*t**2 wrt t.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {n: 1, a: 1, d: 2, v: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221200221020201 (base 3) to base 16.\nAnswer: d06a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*i**2*w**3 + 10402*i**2 + 5*i*w**3 + 908145*w**3 + w**2 wrt i.\nAnswer: 40*i*w**3 + 20804*i + 5*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/2, 0, -1\/2, 3.\nAnswer: -1\/2, 0, 3, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 16. Let w = -34 - -31. Let o(q) = q**2 + 3*q. Let n be o(w). Sort p, n, -5 in ascending order.\nAnswer: -5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 45*m**2 + 109*m + 43. Let a be t(42). Is (6 - 0) + (26 - a) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + w = -4*o + 18, -o - 4 = 4*w. Let d be (48\/o + -4)\/2. Solve -2*q + d = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*c**2 + 0 - 1\/4*c**4 - 1\/2*c**3 + 0*c = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, 1\/6, 7.45 in ascending order.\nAnswer: -5, 1\/6, 0.5, 7.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27882252?\nAnswer: 2, 3, 431, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4))\/(3\/18*-3). Let m(c) = 5*c + 20. Let d be m(p). Let j(f) = 9*f - f + d*f - 1. Give j(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -8*m + 30. Let h = -4 - -6. Put 3, m, h in descending order.\nAnswer: m, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-18))\/((-10)\/45).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -403 + 0?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**3 + 5\/24*c**4 + 0*c + 5*c**2 + 0. Give l(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14289010 - 5?\nAnswer: -14289015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1195*q - 2*q**2 + 612*q + 658*q)*(-3*q + 2 - 2) as z + c*q**2 + g*q**3 + b*q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = -4*m + m, o + 8 = -m. What is the biggest value in 1, -0.08, m, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 5*t**2 - 6*t - 5. Suppose 5 = y - 2*y. List the prime factors of g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79807439 rounded to the nearest one hundred thousand?\nAnswer: 79800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 245351 - 1?\nAnswer: 245350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12793\/38406 - -3\/12802. Solve 2\/3*x**4 + 1\/3*x**5 - 2\/3*x**2 - g*x + 0 + 0*x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 1 = -21, 10*r - 2 - 3 = 11*r - 2*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 4 - 111 = -30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g + 21. Calculate i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-23 - (-27 - -47)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*r + 3672 = 99*r + 84*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -292 - -165. Let a = -2 - d. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 11:29 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 5. Let u be m(-9). Which is smaller: u or -58\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2.6. Let o be -4*(-4)\/(-6)*855\/(-76). Let d be 32\/80 + 2*4\/o. Which is the closest to -1? (a) x (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z**2 - 4*z**2 + 3*z**2)*(-z + 2 - 2) + (-z**2 - z - 9 + 5 + 2*z**2)*(-z + 0*z + 3*z))*(-13 + 7 + 4).\nAnswer: -8*z**3 + 4*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2011311 (base 5) to base 6\nAnswer: -404305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.094, 0.4, 5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) 19 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 824.716 times -5\nAnswer: -4123.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, -13, -92, -203, -346?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -191, -262, -301, -296, -235, -106?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 383940 and 12555.\nAnswer: 11902140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -486106 and -486111 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 297547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204249 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/5)\/((-4)\/50). Let u(p) = p**3 + 3*p**2 - p - 4. Let i be u(-3). Let h = k + i. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986675 is divided by 773.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1673, -1852, -2075, -2348, -2677, -3068, -3527?\n\"Answer: -s**3 - 16*s**2 - 124*s - 1532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 19, 57, 121, 217?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 298338821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166632670 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 12:37 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10906 + 10421 = 383*a + 6773 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, n: 1, u: 5, d: 1, e: 3, p: 1}. What is prob of picking 1 e and 1 w?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**4 + 2*t**3 - 1. Let y(c) = -3*c**4 + 11*c**3 + 412*c**2 - 2. Let s(h) = 6*x(h) - 3*y(h). Find the third derivative of s(j) wrt j.\nAnswer: 72*j - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -j - 22, -4*j = -f + 49 - 37 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2958, 3063, 3244, 3507, 3858, 4303, 4848?\n\"Answer: h**3 + 32*h**2 + 2*h + 2923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/399000 and -109\/78660?\nAnswer: 27531000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/1123 + -19053\/21337. Find the common denominator of b and -5\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.161424 take away 3033387?\nAnswer: -3033415.161424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 2*s - 33 = 2*g, 4*s - 16 = 0. Calculate the least common multiple of g and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273072497?\nAnswer: 3, 424357499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a - a + 6*a)*(23 + 5 - 12) as c + l*a and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1694 is divided by 104?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + -152. Let q = -7 - -3. Let y = -3.9 - q. Sort f, 0, y in ascending order.\nAnswer: 0, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1573) + 3)*3.\nAnswer: -66*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -42. Suppose 1 = 2*t + 7. Sort 1, t, x in decreasing order.\nAnswer: x, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (-2 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(5) - sqrt(320)*-2) + -3 - (sqrt(5) - (sqrt(5) - sqrt(35)\/(sqrt(28) - sqrt(7))) - (sqrt(45) + 1))) + 4 + 3.\nAnswer: 8 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*x - 29495, 3*x + 0*x = -4*o + 23596. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**6\/60 - z**5\/60 - z**4\/6 - 5*z**3\/6 + 3*z**2 - 24*z. Calculate n(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 - (44 + -29 - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1102 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/1 + (19 - (-2 + 14)). Suppose 0*u = 4*u - 4*h - 8, -13 = -4*u - h. Let z(s) = 2 + u - m - 1. Let t(p) = 2*p**2 + p - 3. Determine -t(r) - 3*z(r).\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**3 + 304*q**2 + 3919*q - 5731. Determine l(-41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1111?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -2 (b) 8 (c) 0.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14315101 and 586.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + -30. Let d be 12\/14 - 1 - x\/364. Solve 4*o = -3*f - 2, 2*o - 4*f + 7*f - 2 = d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 494 - -121?\nAnswer: 5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208.769 - -209. Round k to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26*a**3 - 278*a**2 - 3*a - 51054?\nAnswer: -78*a**2 - 556*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.780616 millilitres in litres?\nAnswer: 0.006780616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/66*9*(-8)\/(-15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z*z**1*z)\/(z*z*z\/(z*z\/(((z\/(z**1\/z*z))\/z)\/z)*z*z)*z)**19)**21 assuming z is positive.\nAnswer: z**861","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c - 18. Let m be f(6). Let s be m\/(-3) - 3\/1. Suppose 4*b - 2*r - 8 = 4, 5*b - s = 5*r. Solve 0 = k - b*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n**3 + n. Let q be 0*-3*4\/(-12). Suppose -4*k - 20 = -4*v, -4*v = k - q*k - 35. Suppose 2*l = -4*w - v, 1 = -l - 1. Calculate a(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**3 + p**2 - 1. Let o be s(-1). Let a(q) = q + 2*q - 4*q. Let i be a(-2). Solve -5 = i*t - o*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4\/4 - m**3 + 7*m**2\/4 + 5*m\/2 = 0.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004067776 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 7 - -3 - (8 - 29)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -993.2724.\nAnswer: 397.30896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*m - 57*m - 281 - 53*m - 52*m as u*m + t and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*t - 20*t**2 + 13*t**2 - 232*t.\nAnswer: -7*t**2 - 703*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -s - 0*s. Let p be (-235)\/s - (-4)\/14. Suppose 4*j - 3 = 5*b + p, 5*j + 3*b = 31. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - j = 10 + 5, -j - 6 = -2*p. Suppose -a = -p*a + 4. Differentiate k**a + 5*k**2 - 5*k**2 + 5 + 4*k**2 with respect to k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, -1\/3, 50\/3, -0.4, -2\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/((k**(-2)*k)\/k*k))*k)\/(k*k\/k**1)*(k*k\/(k**(-1\/2)*k))\/k**(4\/9) assuming k is positive.\nAnswer: k**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 + 10*a - 4. Let o(t) = -3*t**3 + t**2 + 145 - 150 + 11*t + t**2 - 2*t**2. Give 4*b(h) - 3*o(h).\nAnswer: -3*h**3 + 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4*x + 20, -3*x = 5*t - 4*x - 37. Suppose -36 = -3*h - 0. Suppose -h = -0*c - 4*c. Calculate the remainder when t is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001958524 rounded to 7 dps?\nAnswer: 0.0000196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3 + 10*p**2 + 191*p + 180 = 0.\nAnswer: -9, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 401109711 and 401109711 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 130*a. Let h(d) = 3537*d**2. Determine g(h(c)).\nAnswer: 25020738*c**4 - 459810*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*w + 29 - 26, -4*w + 24 = 4*x. Let v be 10\/6*w - 1*3. Solve 5 = -5*j, 5*k - 4*j = k - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.465 (b) 2\/11 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3ccc6 (base 15) to base 10\nAnswer: 195261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 0*x**6 + 0*x**4 + 63*x**3 + 0*x**5 - 142 + 0*x + 0*x**2 - 176\/7*x**7. Find the third derivative of l(q) wrt q.\nAnswer: -21120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 17 = -2*b, 4*b + 0*f = 4*f + 32. Suppose 5*y - 3*y = 12. Let i = b + y. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6*r**2 + 2*r + 5. Let x be j(0). Solve -2*m - 2*m - 12 = 0, -2*m - 21 = -x*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/8 and (-1 - 0) + (67\/(-14) - 0).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(80) - sqrt(5) - sqrt(45)\/(-2*sqrt(9)).\nAnswer: -1 + 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 257877\nAnswer: -4641786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18882 - 18882. Solve 0 = -3*l - 2*w - 7, u = 2*w + 26 - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 28*c + 72. Let o be h(-2). Suppose -11*x = o*x - 296973. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 8*l = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/9 (b) -1\/169 (c) 4 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/49*56\/(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/((-17)\/(-85))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.06, -1\/2, 1, 2\/33, -155?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*i = -9. Suppose -u = i*u + 500. Let v = u + 503\/4. Calculate the common denominator of v and -71\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + m - 6, 11 = 5*b + m - 1. Suppose b*f + 47 = 55. Let j(s) = -s**3 + 5*s**2 - 5*s + 5. What is j(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414910255.\nAnswer: 5, 191, 434461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21208 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16\/53?\nAnswer: -16\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 1:30 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1370031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18468 at least as big as -18467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*5\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21917000 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2830 = 29*b - 1206 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337457, 337398, 337339?\nAnswer: 337280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3047733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -122573 - 4?\nAnswer: -122577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, x: 5}. Give prob of picking 1 x and 3 z.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:38 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -312625\/1242 - 83\/1242. Let i = m + 25019\/99. Let y = -24\/2131 - 142201\/51144. What is the common denominator of y and i?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4)*(-89982)\/(-30). Let m = -2561\/4 - c. Let j = m - 110. Is -1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -448 and -2247\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -8\/7, 3\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Suppose -4*h - 22 = -k, -h = n*k - 2*h - 88. Calculate the lowest common multiple of 2 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 63 (b) 0.2 (c) 135 (d) -3 (e) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:15 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/28 - 57\/54. Let w = 0.5 - 0.1. Which is the second smallest value? (a) -1 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(180) + -2))**2.\nAnswer: -384*sqrt(5) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16602 + -9533. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d*d**(-4\/5))\/(d**(-2\/13)*d**(-12)))**20 assuming d is positive.\nAnswer: d**(9896\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3 = -3*x, 88*x + 9 = 84*x + d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - -4. Let n = r - 21. Let d = 33 - n. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**3 - f - 1. Suppose 0 = 2*u - 1 + 3. Let i(x) = x**2 + x + 1. What is u*i(r) - a(r)?\nAnswer: -4*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2)*(3 - 3 - 7*c) in the form b*c + n and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) 153 (c) 0.1 (d) 2\/7 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 - 3. Let x = -34 + 39. Which is the nearest to 2? (a) x (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (-1 - 12\/(-4)). Let h be (-3)\/(-2 - 10\/o). Suppose h*j - 4*j - 110 = 0. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*6\/(-102)*(-3)\/27.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 14*g**2 + 41*g + 106. Calculate n(10).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:21 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(8064))\/sqrt(8) - (2*sqrt(28))\/sqrt(4)*-3)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*(((x\/(x\/x**(-8)))\/x)\/x*x*x)\/x*x*x**34\/x*(x*x**(-6))\/(x\/x**(-14)) assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 - 1668640*r\/9 - 348044931200\/9.\nAnswer: -2*(r + 417160)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3100 + -1979. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-1 - (-14 + 1 - (-129 + 126)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b + 3*b + 3*b + 1 - b**3 + (b - 2*b + 4*b)*(-5*b**2 - 25*b**2 + 8*b**2).\nAnswer: -67*b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t, 2*t - 4 = -f + t. What is the remainder when ((-4)\/(-6))\/(2\/39) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**4\/36 + 22*v**3\/9 - 46*v**2\/3 - 400*v. Suppose m(t) = 0. Calculate t.\nAnswer: -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355 divided by 71.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w + 15. Let d(j) = -w*j - 8 + 1 + 0. What are the prime factors of d(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3622136564 to the nearest integer?\nAnswer: 60184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -162 - -239. Calculate the greatest common factor of c and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 5. Let a(u) be the third derivative of -u**4\/12 + 12*u**2. What is the smallest common multiple of z(5) and a(-7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.40198908 and 0.1.\nAnswer: 0.50198908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 1 = -5*f - 15, 2*p + 14*f = -20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.5071*0.4.\nAnswer: -12.20284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7 - 3*5\/15) + 9015?\nAnswer: 3, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224971*b**3*q - 319*b**2*q + 217*b*q wrt b?\nAnswer: -1349826*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5808600*t**5 + 5*t**2 - 1672754.\nAnswer: 348516000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 105?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l**4 + 4 - 5 + 32*l**3 + 2*l**2 + 5*l - 24*l**4 - 3*l as r + w*l + f*l**2 + g*l**3 + s*l**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -19.3, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/8)\/(3\/(-8)). Suppose -q*t = -0*t - 56. Calculate the smallest common multiple of t and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 21, 30?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*(-3 - -13). Let j be 4\/(-10) - 34\/(-10). Let a(t) = 3*t**2 - j + 4 - 6*t - 4*t**2. Give a(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.94 - 0.06. Let m = -6 - -8. Let f = 8.5 + -9. Which is the biggest value? (a) f (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146859, -146762, -146599, -146370, -146075?\nAnswer: -145714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 2. Let r be (4\/8)\/1*(4 - -2). Let n(s) = -7*s**2 + 6. Let t(b) = r*j(b) + n(b). Let u(x) = -26*x**2. Calculate u(t(d)).\nAnswer: -26*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 209218.6 times -241\nAnswer: -50421682.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-506)\/(-9) - (-4)\/(-18). Let s = k - 29. Suppose -4*i = -2*l + 16 - 74, -2*i + s = -3*l. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 270*q**2. Let a(y) = -y**2 - 1628*y. Determine a(f(i)).\nAnswer: -72900*i**4 - 439560*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001768 rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/6)\/(((-22)\/(-528))\/((-3)\/(-12)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 247649395 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17678 + 136509. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 45000054?\nAnswer: -225000270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -567, -12, 2, 12 in increasing order.\nAnswer: -567, -12, -3, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**3. Let y(s) = 2*s + 23. Let n be y(-9). Suppose -2*c + n*m = -4*c - 15, -3*m = 5*c + 9. Let w(d) = -2*d - 1. Let i be w(c). Calculate o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2538.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vnvnvnkvvnnvnnn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -385*g. Let i(p) = -123*p**2. Determine i(m(k)).\nAnswer: -18231675*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3869\/4, 1\/5, 0.1, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -147.6\nAnswer: 14.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 3, 29, -1047 in increasing order.\nAnswer: -1047, -50, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -276\nAnswer: -19.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.258 and 1340.3.\nAnswer: -345.7974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105950781 is divided by 3184.\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-9)*18\/5. Let p be (-864)\/(-60)*(50\/900 + (-24)\/(-54)). What is x in 24\/5*x**3 - p*x**4 + 4\/5 - k*x + 32\/5*x**2 = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + i - 2, -66*f + 63*f + 3*i = 24. Let 0 - 2\/13*n**4 + 2\/13*n + 2\/13*n**f - 2\/13*n**3 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 7) to base 2\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:31 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {x: 2, q: 3, z: 4, d: 6, b: 1, e: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + -3 - (14 - 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/27*(-3)\/15\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -21183074015061.\nAnswer: -21183074015061.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*l - 2 = 0, 2*z - 6*z - 166 = z - 2*l - 150 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 0 - d - 5 - 4. List the prime factors of u(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -337804 - 104?\nAnswer: -337908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 281*u + 146. Let l be t(-10). Let m be 21\/6*l\/(-84). What is the greatest common divisor of 185 and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 22 = -5*u, 0 = 4*c - 4*u - 80. Calculate the highest common divisor of c and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2*2\/40\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 440582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4162 (base 8) in base 12?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2 - 97*d + 121. Let s be j(13). Solve -41 = -21*r + s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*q - 5. Suppose 2*k + 3*i - 4 = q, 5*i + 20 = 3*k. Suppose -k*a - 20 = 0, 4*s - 5*a = -0*s + 44. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -22*4\/240 + (-2)\/(-12). Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 e, and 1 o when four letters picked without replacement from vxogxegmoxexvxvxm?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(-3 + -6*(sqrt(1100) + -2 + -1))**2*5.\nAnswer: -27000*sqrt(11) + 597374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2761771 weeks to microseconds.\nAnswer: 167031910080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*v + 3 - 3 - 193*v - 555*v**2.\nAnswer: -555*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3952 and 19?\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/9 and -83\/1806832.\nAnswer: 16261488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.015?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:28 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 48, -4, 2\/11, -510\/157, -3, -0.5, 1\/6?\nAnswer: -510\/157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -1 + (-799)\/51)\/(-4)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 7. Let p(q) = q**2 - q + 5. Let y(h) be the third derivative of -h**5\/60 + h**4\/24 - h**3\/2 - h**2 + 3*h + 278. Determine l*p(c) - 5*y(c).\nAnswer: 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (29 + -18 + (-12 - -5 - -9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:09 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 379, 572, 745, 892?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2. Let s(u) = 1077*u**2. What is q(s(t))?\nAnswer: 1159929*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence piii when four letters picked without replacement from ipipiiipip.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 11. Let q be j(-9). Let u(o) = 6 - q*o**3 + 3*o**3 - 3 - o**2 + o. Let a be u(0). Sort a, 2, -1 in decreasing order.\nAnswer: a, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 + 91 = 7*d. Suppose d = -32*s + 24*s. Let p(t) = -5*t + 7. Let n(y) be the second derivative of 2*y**3\/3 - 3*y**2 + y. Calculate s*n(o) - 5*p(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 - 7*o**2 + 186*o - 19360 wrt o.\nAnswer: -3*o**2 - 14*o + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-4))\/(1\/(-4)). Let o = 6 - 6. Let w = 2 + o. Put h, -3, w in increasing order.\nAnswer: -3, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3450685 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v + 20*v - 10*v)*(-1 - 1 + 3)*(v**3 - 3*v**3 + 3*v**3)*(2*v + 1 - 1).\nAnswer: 42*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51\/21 - (30\/21 - 1). Suppose 5 = 2*l + 3*l. Put -2, -1, l, k in descending order.\nAnswer: k, l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/260 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -22. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-6375)\/(-68) - 98).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*s + 2 = -10, s + 12 = 3*l. Suppose -l*i + 9 = -3. Find the third derivative of 0*v**i - v**3 + v**3 - 7*v**4 + 4*v**2 wrt v.\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a, -s + 6 = 3*a. Let v(n) = 59*n - 32. Is v(s) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 771, 3111, 7011, 12471?\nAnswer: 19491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9299 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114.8 - -110.8. What is the second biggest value in 1\/6, a, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59283704.\nAnswer: 2, 41, 61, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-3))\/(20\/30). Suppose 4*g = -g - 2*v + 7538, -5*g = -f*v - 7514. Suppose 0 = -4*z + g + 1018. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 32 = -3*q + 98, 1191*q + v + 5 + 14 = 1193*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 20247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 1, t: 2, r: 1}. Give prob of picking 1 r and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-9) - 4\/15. Which is smaller: z or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w*(w*w**(3\/2))\/w)\/((w*w\/w**0*w*w*w)\/(w*w**(-2)*w)))\/((w*w*w**7)\/w**3)**3 assuming w is positive.\nAnswer: w**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11065 is divided by 3682.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 1, -5, 885512 in decreasing order.\nAnswer: 885512, 6, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143) + 1*sqrt(143)*3 - sqrt(143))\/(sqrt(1331) - -1*sqrt(1331)) - (-4 + 5 + sqrt(468) + -2 + sqrt(468) + 0)**2.\nAnswer: -1873 + 266*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 52*c**2 + 13*c + 80. Calculate the lowest common multiple of 4 and n(-4).\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*a - 26 = -a, 0 = -h + 3*a - 13. Suppose -r - 42 = -h*r + 3*t, 4*r = 4*t + 128. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3608 greater than 3608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-296)\/(-40) - (-6)\/10. Let p be 4\/w + (-69)\/(-2). Let x = -17 - -31. Calculate the greatest common divisor of p and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*(sqrt(171) - 4*1*sqrt(171))*3)**2.\nAnswer: 270*sqrt(19) + 346276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136264 and 280?\nAnswer: 4769240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3644508573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 5*r**8\/336 + 11*r**7\/105 + 19*r**6\/60 + 8*r**5\/15 + 13*r**4\/24 + r**3\/3 - 24*r**2. Factor z(q).\nAnswer: (q + 1)**4*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.02 or -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2414 = -7496. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*h - 12 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Is (-134)\/(-4)*(w - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 2.4373770325378.\nAnswer: -2.0373770325378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-15)*(-40)\/(-48). What is the nearest to -0.11 in 3\/5, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 22*x + 42. Let t be m(-20). Suppose -4*p - 2 = -a, -5*a = p - 4*a - t. Let g(u) = -u**2 - u + 1. Give g(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5011 * 0.1202.\nAnswer: 602.3222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - u**2 - 17 + 0*u**2 + 16. Suppose 5*q = 3*q + 4. Determine s(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 528225?\nAnswer: -1\/528225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -121*m**8\/168 - 11*m**7\/15 + 2*m**6\/3 - 2*m**5\/15 - 8*m**2. Factor q(a).\nAnswer: -2*a**2*(a + 1)*(11*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 1395 = 1403. Suppose 5*b + 161 = 31. Let p be 4\/b + (-36)\/(-65). What is the nearest to p in 0.5, z, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 8:26 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 - 1)*(-4 + 2 + 4) - 178 - 88 - 377 + 1 + 0 + 1)*(-2*l**5 + 2*l - 2*l).\nAnswer: 1290*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/3 - 304*u**2\/3 + 20401*u\/3 + 44522 = 0. Calculate u.\nAnswer: -6, 113, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376959*q + 647 + 105055*q - 647.\nAnswer: 482014*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1900) + 1))**2.\nAnswer: 500*sqrt(19) + 47525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*(sqrt(288) + sqrt(288) + (sqrt(288) - (-4*sqrt(288) - sqrt(288))) + sqrt(288) + 4) + -3)**2.\nAnswer: 132192*sqrt(2) + 3361833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/4 + 3935*b - 101465.\nAnswer: -5*(b - 3122)*(b - 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -14771.321.\nAnswer: 14774.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -3222 - 968. Calculate the remainder when y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 + 119. Calculate the highest common divisor of l and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (9 + -16 - -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 9:50 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 102\/11, -0.7, 3, -2\/3, -0.4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 40*m + 81. Calculate b(24).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 390841 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 11 + 14 = 0. Let x be 12\/15*15\/6. Suppose 0 = -g + x*g - b. Solve 3 = -g*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 p, and 1 i when three letters picked without replacement from tpippoipriittip?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 7) + 16 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**6\/120 - 3*u**5\/10 - u**3\/3 - 2*u**2. Let a be 24\/((-104)\/6 - -16). What is n(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f**2 - 50*f + 334. What is t(6)?\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 202.8 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*o = -18, -4*o = -24 + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 26 = -0*d. Let o(g) = g + g + 2*g**2 + d - 8*g + 2*g. Is o(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -182*x**2\/11 + 3814*x\/11 - 9804\/11.\nAnswer: -2*(x - 3)*(91*x - 1634)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -129*t + 3 + 61*t - t**2 + 60*t. Let x be h(-8). Let d(z) = -z**3 + 3*z**2 - 4*z - 1. What is d(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -6, -31, -56, -81, -106?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 357878147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-25) + 23\/5. Suppose m = -x - 0*x + 9, a*m - 21 = x. Solve -19 = o + y + 3*y, 25 = 5*o - x*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27276283, -27276286, -27276289, -27276292, -27276295?\n\"Answer: -3*a - 27276280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3 = 4*t + 13, -17*z - 90 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + 4*y**2 + 4*y**4 + 0*y**3 + 1 + 6*y**3 - 4*y**3 as s + t*y + p*y**4 + g*y**2 + j*y**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5507 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 341 - p + 379)*(-15 - 29 + 4).\nAnswer: -40*p - 1520","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -687695044*c**5 - 848625981*c wrt c?\nAnswer: -13753900880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47102616, 47102618, 47102622, 47102628, 47102636?\n\"Answer: i**2 - i + 47102616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f + 12 = 64*f - 33*f - 4*a, f - 3*a + 16 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l - 41 + 41)*(-2 - 3 + 3)*(4 + 2 - 3).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 7*t + 1. Let d be g(4). Suppose -d - 53 = -2*v. What is the remainder when v is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 148.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -0.16396?\nAnswer: 0.33604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 24. Suppose -m - 4*m = q + 4, 3*m - 6 = -2*q. What is the lowest common multiple of q and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*t - 11*t - 24892 = 0 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3670 - 6686 = -104*b for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 3. Suppose 44 = -33*x + 31*x. Let f be (-27 - x)*-1*1. Give v(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 33 = 3*v, 60*v + 120*v - 185*v - 67 = -4*u for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 56 = -7*k. What is the remainder when 25 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74934 (base 10) to base 14.\nAnswer: 1d446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43, 46, 47, 46?\n\"Answer: -s**2 + 6*s + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.25 + 0.835. Let i = -0.145 - c. Let s = i + 0.729854. What is s rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 0.002 (c) -861655\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 157*r**3 - 3*r**2 - 4*r + 1. Suppose 10 = f - 2*z + 1, -4*z - 21 = -3*f. Is n(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -299, -626, -971, -1340?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 12*z**3 - 5*z**3 + 6 - 15 + 4*z + 4*z to the form h + i*z + v*z**2 + c*z**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -220, -443, -666, -889?\n\"Answer: -223*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83717, 83715, 83739, 83807, 83937, 84147, 84455?\nAnswer: 84879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74321558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*q + 4*n + 20, -3*q + 20 = -5*n. Find the second derivative of 6*y + q*y**2 - 5*y**2 - 2*y**2 + y**2 wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzi when three letters picked without replacement from bbzikbzkziksbikzx.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1087)\/(-11) - 16\/(-88). Let f = 139 - b. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1944)\/(-360) - (-4)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80327669 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110 + -2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 4. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(-3 - l + 3) + 2 - 5*l - 2.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*l + 640*l - 26*l + 1719*l + 339*l.\nAnswer: 2934*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16661 - -20993. List the prime factors of o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) -135 (b) 0 (c) 66\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*f - 3019*f + 214*f - 85538 = 959*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (198\/27)\/11*2\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2. Let k be (-4)\/7 + (0 - 78\/(-14)). Let f(m) = -8*m**2 + 5*m. Let o(c) = -c**2 + c. Let u(g) = k*o(g) - f(g). What is a(u(r))?\nAnswer: -36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42941*0.106.\nAnswer: -4551.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 + 108. Suppose -x*n = 3*t - 1541, -4*n + 113 = -5*t - 1105. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(12*4\/(-8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000639 rounded to five decimal places?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -95*h**2 + 4*h + 66. Let j(t) = -192*t**2 + 9*t + 148. Let y(d) = 9*g(d) - 4*j(d). Let i(r) = 17*r. Calculate y(i(c)).\nAnswer: -25143*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 23*g**2 - 5*g + 0*g - 7*g**2 - 8*g - 6*g.\nAnswer: -30*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 51, 81, 125, 189, 279?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 125. Calculate the smallest common multiple of y and 11.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**20*n*n\/(n\/(n\/(n**(28\/3)*n*n))) assuming n is positive.\nAnswer: n**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*a + 517504 = 0, -9*r - 517498 = -8*r - 2*a. Round r to the nearest 10000.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmm. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/7 - 32446572*c\/7 - 32446570\/7 = 0. What is c?\nAnswer: -16223285, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 2.21 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7355935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (1 + -7 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, q: 8}. Give prob of picking 4 q.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141464 - -7780984\/55. Let o = b - 106\/11. Is o greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 5*v + 6. Let f(x) = 7*x**3 - x. Let z be f(-1). Let n be t(z). Solve -3*w = -2*c, w + 2*c - 8 = -n*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9309 - 9284. Let t(q) = 10*q**2 - 25*q - 25. Let o(g) = g**2 - g - 1. Give b*o(x) - t(x).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 624 divide 14178528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2044 and 38962582.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -788 - -831. Let l(q) = 50*q**3 + q**2 - q. Let d be l(1). Let s = -28 + d. Calculate the remainder when n is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/13))\/j*j\/(j*j\/j**(1\/4)))\/((j*j*j\/(j\/((j*j\/j**(-17)*j*j)\/j)))\/j**(-4\/5)) assuming j is positive.\nAnswer: j**(-6103\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**4 + r**3 - r**2 - r + 3. Let b(m) = -17*m**4 - 20*m**3 - 14*m**2 + 5*m - 18. Let v(t) = b(t) + 6*c(t). What is the third derivative of v(q) wrt q?\nAnswer: -264*q - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**3 - 61*h**2 - 104*h + 1405. Calculate z(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.05.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by 60\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 823\/10 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37810.3 + -255787.91?\nAnswer: -293598.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 123292368839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = w - 2, -2*y + 6 = 4*w - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/160*4)\/((-2)\/20*-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/224 and -53\/288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185244 and 16512.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (26\/(-8) - -2)*-4. Suppose -3*a - a = p - 14, c*a - 78 = -4*p. Let z = p + -5. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**22\/(g**26\/g)*g\/(g\/((g\/(g*g*g**(1\/8)*g))\/g))*g*g*g*g\/(g*g*g**(5\/2)*g))**(-2\/41) assuming g is positive.\nAnswer: g**(61\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 8*q**2 + 7*q + 18. Let u be 494\/8 + 1 + (-5)\/(-20). Suppose -u = -4*i - 3*i. Let z be m(i). Solve 4 = -2*h, p - h - 3*h - 8 = z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-42) + 1\/6*-2. Put i, -2, -29, 2, -3 in descending order.\nAnswer: 2, i, -2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-516)\/430)\/((-15)\/(-575))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43736961815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*1)**2 + sqrt(425))*3.\nAnswer: 15*sqrt(17) + 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37465002 is divided by 11207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -7*q**8\/120 - q**7\/25 + 104*q**6\/75 + 12*q**5\/5 - 76*q**4\/15 + 16*q**3\/5 - q**2 - 345*q. What is i in t(i) = 0?\nAnswer: -2, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1877*o - 18. Let x(m) = 4097490*m - 39291. Determine -13097*w(r) + 6*x(r).\nAnswer: 1871*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 1 - 1. Let p be (0\/((-6)\/3))\/f. Suppose 4*y + 2 = -3*q + 66, -y + 1 = p. Solve -3*a + 8*a = q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1159\/9 + 129. Solve z*i**2 + 0*i - 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 7. Let y be w(-5). Suppose -2*q - y*m = 2*q - 79990, -5*q - 3*m + 99985 = 0. What is q rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*q - 12*q + 13*q + (-4*q + 6*q + 0*q)*(4 - 2 - 4) - 1 - q + 1.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*h + 10. Let i = 285 + -283. Solve -h*q = -i - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 + 78 = 55*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m**(-6)\/m*m)\/(m\/(m*m**5))**(-30) assuming m is positive.\nAnswer: m**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2053 - 1387*z + 2053)*(8*z**2 + 4 - 4)*(3 - 2 + 1).\nAnswer: -22192*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Let m be -6 + u*2\/4. Let s(f) = -2*f - 7. Let p be s(m). Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 14*h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*p + 2)*(0*p**4 + 3*p**4 - p**4).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - (-2 - (-2 - 1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 409739\/24 + -17075. What is the common denominator of j and 49\/34?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*u + 226*u - 88*u in the form g + w*u and give w.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -547*z**3 + 2*z**2 - 27*z + 16470 with respect to z.\nAnswer: -1641*z**2 + 4*z - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3*x + 0*x)*(0*x + x - 6*x + (0 + 1 - 2)*(3 - 3 - x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y. Suppose -k + 1 + 1 = y. Let g be -26997 + (-2)\/(k\/3). What is g rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10175 divided by 185?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -41 (b) -0.2 (c) -304 (d) -2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 402697 smaller than 402697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816*u + 85*u = -19737 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) - ((sqrt(720) + 2)**2 + sqrt(720) - sqrt(720)) - sqrt(720) - 1*sqrt(30)\/sqrt(6).\nAnswer: -724 - 49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 13) to base 4.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - 1.3. Let s = -67.1 - w. Let u = -65.00134 - s. Round u to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1347154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-10))\/((-4)\/(-10)). Suppose 0 = 5*g - 5*i - 3 - 2, 0 = 4*g + 2*i + p. What is the closest to g in -5\/2, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*((sqrt(3200) - sqrt(3200)*2)\/sqrt(2))\/((-1*sqrt(125) + sqrt(125) - sqrt(125)) + -3*sqrt(20)).\nAnswer: 32*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d6f + 0?\nAnswer: d6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4998243 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 102 + 52 + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -16*w**4 - w**3\/3 + 83*w**2\/2 - 54. Find the second derivative of d(k) wrt k.\nAnswer: -384*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = -28. What is the units digit of (-36)\/(-1)*(8 - s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -238 - -235. Which is smaller: i or -1\/18?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 103?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -1\/6*t**4 - 4*t**2 + 0*t - 1\/70*t**7 + 0 + 0*t**5 + 0*t**3 + 0*t**6. Find the second derivative of u(q) wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67670 - 13631. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t**3 + 50*t - 19*t + 69*t**3 - 62*t - 33*t**3.\nAnswer: 3*t**3 - 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5919 is divided by 468.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(0*v**4 + 0*v**4 - v**4).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*d - 233*d - 164*d to g*d + w and give g.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -20. Let n(g) = g**3 + 13*g**2 - g - 8. Let j be n(t). Suppose k = 3*b - b, -j*b = -2*k. Solve b*a = 5*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-14))\/(-3))\/((-16832)\/(-14728)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4288544003.\nAnswer: 4288544003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 17. Let r be (-3)\/h + (-5 - -10). Solve 0 = -0*m + r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.07, -7, -2, -11\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.723 and 0.337113038.\nAnswer: -1.385886962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/24 - (-30)\/180. Let r = -3 - -3.2. Put b, r, -2 in decreasing order.\nAnswer: r, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + a - 5*l + 1396, 3*l + 3 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1331) + -1)*5.\nAnswer: -30 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a + 0*a)*(-2 - a + 2) + 10*a**2 - 5*a**2 + 4*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -98445 < -98443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559 divided by -13.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 - 287 = k. Solve -k = 9*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 252? (a) -5 (b) 69 (c) -2 (d) 7 (e) -5\/2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 2. Suppose 0 = 7*a + 54 + 23. Let f(x) = -16*x + 10. Give a*i(t) - 2*f(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/(-3*(-12)\/(-48)). What is the second derivative of 2 + 0*a**2 - 94*a**2 + 243*a + 4*a**x - 15*a**2 wrt a?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2 + 1165988*u - 51311216 = 0.\nAnswer: -291541, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1063110 and 1695.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*j + 68. Is (-45057)\/(-18) + 2\/(-13 + j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/40*-4*2\/10. What is the nearest to k in 0.5, -3, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, 2, -2, 58, -41 in descending order.\nAnswer: 58, 2, 1, -2, -10, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 73 - 11 = 0. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -441.776 and 0.0162?\nAnswer: 441.7922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 1 (c) 5 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*a = -4*f - 22, -3*a - 8 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1, -10, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2))**20*o\/(o**(-2\/17)*o)*o**(-3\/8) assuming o is positive.\nAnswer: o**(1325\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -1409.15308?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7353 + 3?\nAnswer: 7356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64056414 is divided by 7569.\nAnswer: 7536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683005697?\nAnswer: 11, 163, 380929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/11 + 526*i\/11 - 69169\/11.\nAnswer: -(i - 263)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1799.3 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**5 - 19*o**4 + 19*o**4 + (10*o**3 + 30*o - 30*o)*(10*o**2 + 10*o**2 - 8*o**2).\nAnswer: 127*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/41, -5, -2\/19, -1\/3 in decreasing order.\nAnswer: -2\/19, -12\/41, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.7 - -7.7. Which is the second biggest value? (a) q (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -9\/8, 3.43711?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggg. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9482, 9479, 9458, 9413, 9338, 9227, 9074?\n\"Answer: -l**3 - 3*l**2 + 13*l + 9473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 1. Suppose -3*o + 63 = 3*i, -161 = -5*i + 5*o - 46. Let b = 28 - i. Let v(r) = -2*r + 1. Determine b*f(w) - 5*v(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8) + -3 + 7 + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 5. Let p = j - 6. Sort -1\/5, p, 3\/2.\nAnswer: -1\/5, 3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2. Let w(f) be the first derivative of -9*f**5\/8 + 2*f**3\/3 - 19*f + 249. Let s(v) be the third derivative of w(v). Determine s(t(i)).\nAnswer: 135*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-15)\/6 + 3). Suppose 0 = v*d - d - 4. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 145\/51 (b) -1\/11 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*l - 165*l - 27 = -4*r, 5*l + 5*r - 40 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5 = 5*l - 0*l, -5*g = 4*l - 14. What is the units digit of (112 + 0 + l)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434413, 434569, 434713, 434839, 434941, 435013, 435049, 435043?\nAnswer: 434989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 9*d + 0*d - 2*d + 27*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1884*b*c**3 + 15*b*c - b - 602809*c**3 wrt b.\nAnswer: 1884*c**3 + 15*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 v when three letters picked without replacement from viivvibivvvvbivvi?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 404*h - 106267 + 127275 for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7283457 take away 1671?\nAnswer: -7285128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -f + 9, 19*v = 15*v - f - 11. Calculate the remainder when 97 is divided by 13 - (2\/v)\/(3\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2 = g, 2200 = 2*q + 3*g + 2214 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -360, -3101, -10596, -25221, -49352, -85365, -135636?\n\"Answer: -396*n**3 - n**2 + 34*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -2\/9*s**3 - 3 + 2\/3*s**2 + 0*s. Determine n, given that g(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + j - 6*j)*(-4*j + 5*j + j) - 6*j + 6*j - j**2 to i*j + d*j**2 + z and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1162 + -1161.8. Which is the nearest to 2? (a) j (b) -0.099 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0*v - 2*v**2 + 3*v**2 - 5*v - 13. Let b(u) = 895*u + 76977. Let a be b(-86). What is o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197787307951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.8 - 5.8232. Let z = -0.2422 - o. Let j = 0.047 + z. What is j rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/15 + 16\/6. Suppose 3*l - a*i + 20 = 2*i, -8 = 2*l + 2*i. Let o(n) = n**2 - 2*n - 4. What is the tens digit of o(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12132 + -12131.985814. What is s rounded to 4 decimal places?\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -1\/60*v**6 + 0*v + 0*v**5 + 2*v**2 + 1\/4*v**4 + 0 - 2\/3*v**3. Factor r(z).\nAnswer: -2*(z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*s**3 - a**2*s**2 + a**2 - 1590*a*s**3 - 1668*a*s**2 + a + 79*s**3 wrt s.\nAnswer: -12*a**2 - 9540*a + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(6\/4 - 2). Suppose 26 + v = 2*y. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 20. Let w be q(8). Let y(s) = -14*s - 4. Let i be y(-8). What is the highest common divisor of w and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let b(a) = 2*a**2 + 3*a - 10. Let v be b(-5). Let n = -28 + v. Let d(s) = -3*s. What is n*d(x) + 8*o(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -181, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 + 3*g**2 + 3*g**2)*(-419*g - 182*g + 150*g) as i + r*g + y*g**3 + q*g**2 and give y.\nAnswer: -1353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.14303339298957.\nAnswer: 0.14303339298957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/7 - (-4)\/14. Suppose -i*h - 3 = -15. Suppose -4*f = d - 1 - 6, -2*d - 10 = 0. Solve -2*q - f*q - 26 = h*p, -5*p - 3*q = 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/63068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941505599 a multiple of 1419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 3:02 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (0 - 8) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 2*q - 2*q - q + 0*q - 2*q + 2*q - 2*q - 2*q + (-3 + 3 + 2*q)*(-4 + 3 + 0) - q + q + q - 2 - q + 2 - q + 3*q + q + (2*q + q - q)*(1 - 4 + 1).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20488 and 180056227?\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a tonne in kilograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 11:44 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 9 = -4*v - 3, 2*j - 6 = 2*v. Suppose 3*f + b + 18 = 8*f, b = -f + 6. Solve -j*g = 2*g + 8, 2 = 5*i + f*g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(1 + 2*b - 1)*((-2 + 3 + 1)*(1 + 0 - 3) - 2 + 2 + 2 + (29 - 19 - 20)*(1 - 1 + 1) - 3 + 0 + 6).\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.381 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5405 - 5407. Which is the smallest value? (a) -4\/3 (b) y (c) 4 (d) 226\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2153 = p - 2175, 44 = 2*p + 5*s for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**3 - 25*q**2 + q + 43. Determine d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 7. Suppose -w*k - 18 + 73 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 + 19*v - 217 - 20*v + 425.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - -21 - -14 - (16 + (-1 - -2))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1172, -2348, -3524, -4700, -5876?\n\"Answer: -1176*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1937 is divided by 281?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -j - 282, 2*j - 4 = -0. What are the prime factors of f?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6060.5235 minutes in days?\nAnswer: 4.208696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121501 (base 6) in base 5?\nAnswer: -3314141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18420534.5 and 108?\nAnswer: 18420642.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 93898.98ns in milliseconds?\nAnswer: 0.09389898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 47*b - 978. What is d(-15)?\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.3. Let h be (-7 + 2907\/418)\/((-1)\/(-4)). Which is the closest to y? (a) -5 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86 or -104?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5\/2 - 1726701*a**4\/2 - 124231172655*a**3 - 621133416357*a**2 + 248462345313*a\/2 + 1242268559415\/2 = 0.\nAnswer: -287781, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 332*h**5 - 5272*h**4 - 12260*h**3 - 7376*h**2 - 720*h = 0. What is h?\nAnswer: -1, -10\/83, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -1.226?\nAnswer: -0.4904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 divided by 255?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3800\/9 - 422. Which is the third biggest value? (a) p (b) 1\/8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.394168 centuries in decades?\nAnswer: 3.94168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, f: 3, c: 4, t: 3, q: 2}. Give prob of picking 1 q, 1 c, and 2 t.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9019 - 9010. What is the smallest common multiple of 437 and n?\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 2. Let x(c) = c**3 + 12*c**2 + 2*c + 29. Let r = -54 - -42. Let k be x(r). Let f(t) = t**2 + 5*t - 5. Determine k*p(z) - 2*f(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 311, 446, 637, 902?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, -4\/3, 1, 0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ssjwjsjsssssjsssjsss?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 (base 15) in base 13?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -2*a**4 - 3*a**3 - 14. What is the third derivative of t(k) wrt k?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*15\/(-18)*-6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u*u\/(u**(1\/11)*u)*u))*u)\/u)\/u**0)\/(u**(-1\/2)\/(u\/((u**(-2\/27)\/u)\/u))) assuming u is positive.\nAnswer: u**(3257\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:28 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -235 and -3.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + 29*t = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 340*j - 2976.\nAnswer: 4*(j - 8)*(j + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -193*q + 12. Let t be z(-4). Let a = t + -472. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-15))\/(10\/(-25))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/21)\/d**(-10\/13) assuming d is positive.\nAnswer: d**(236\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -832.5 - -239.5. Is 1 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 138.82.\nAnswer: 143.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1\/5, -3.64, 4\/9?\nAnswer: -3.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/1 + 1*5. Suppose -2*k - 5*c = -v*k + 12, 2*k + c = 2. Suppose 2*b = 2*x + 6, -2*x - 2*b + 12 = -x. Solve -x*m = k*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -18. What is the units digit of 6\/8 + (-279)\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:14 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 47. Suppose k - 5*n = 33, -k - h*n = -2*n - 33. Suppose -35 = -2*y - k. Solve 3*x = 16 - y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*a**4 + 0 + a**4 - 5*a**2 - 2*a**3 + 2*a**2 to n*a + t + b*a**2 + g*a**4 + x*a**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and 2991987085.1.\nAnswer: 2991987078.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15 - (0\/(-2) + 0). Suppose 2*c - w - 17 = -r, 3*c = -5*r + 34. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*f = 2235, -2*i - f = -0*f - 897. Let o = 4461 + i. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + (sqrt(125)*-1*4 + sqrt(125))**2.\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaaa when four letters picked without replacement from iaaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23739 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 11125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1712 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m**(-1\/2))\/(m**(1\/2)*m)**(4\/15))\/((m*m*m\/m**(-9))\/m*m*m*m**(-1\/9)*m*m)**(-11\/2) assuming m is positive.\nAnswer: m**(7379\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**2 - 2*x + 19. Let a(s) = 9*s**2 + 3*s - 19. Give -3*a(u) - 4*h(u).\nAnswer: u**2 - u - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 2 + 7)*(r - r**2 - r) + (0*r - 3*r + 2*r)*(-r - 2 + 2).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649941 - 326235 + 3*c**3 - 323706.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 355 - 354 - 4*q + 3*q. Let j(o) = 2*o - 2. Determine 4*j(h) + 6*l(h).\nAnswer: 6*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 62*a**2 - 16489*a. Let k(y) = -y**2. Determine w(k(r)).\nAnswer: 62*r**4 + 16489*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1695.2 * 2.53\nAnswer: 4288.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.3 - -0.3. Let v = x - -16.65. Let j = -0.05 + v. Put j, -1, -3 in descending order.\nAnswer: j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**5\/60 + l**4\/24 - 2*l**3\/3 + l**2. What is the lowest common multiple of o(-5) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.45 + 0.35. Is 0 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -431414 + 4?\nAnswer: -431410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k + 10*k**2 + k**3 - 17*k**2 + 3*k**3 + 9*k**2.\nAnswer: 4*k**3 + 2*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23787 times 2?\nAnswer: 47574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47*64\/(-63168))\/(-2*1\/(-3))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37888.5 tonnes to kilograms.\nAnswer: 37888500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -2 - (-4 + 8 + -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + (-4*sqrt(833) - sqrt(833)) - (sqrt(17) + ((sqrt(153)*-4)\/sqrt(9))**2) - (-2 + sqrt(612) + 0 - -6*sqrt(612)*1))*2.\nAnswer: -142*sqrt(17) - 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.8 + 0.8. Let n be (6\/12)\/(3\/6). What is the second biggest value in n, 4, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5 + 5*p**3 - 11*p**3 - 2*p**3 + p**4 - 5*p**4 = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.8269 to zero decimal places.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1284\/(-64)*(-10)\/(-35). Let p = 41\/7 + z. What is the second biggest value in 3, 1\/4, -4, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639 + 255 = -24*v. Solve 5*k = -y + 11, k = -13 + v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -9 - (-3 - 11).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 - 8*x + 43 + x - 27 + 3*x.\nAnswer: -4*x - 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 51c - -17?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 10*i - 103 = -193 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1.48733?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 10\/(-6))*48. Calculate the highest common factor of 72 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*t + 42. Suppose 0 = 2*l + t - 72. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -775822 (base 10) to base 16\nAnswer: -bd68e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**3 + 2*n**3 + 1 - 6*n**3 - 2*n**2 + 2 to u*n**2 + i*n**3 + h + f*n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 25. Let b(z) = -3*z**2. Give b(u(n)).\nAnswer: -3*n**4 + 150*n**2 - 1875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -416 + 1162?\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3504 divided by -16\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-18)*(-270)\/720?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((0 - -3) + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10315168307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -542 in -19, -1, 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b - 4*b + 68. Let g(u) be the first derivative of b*u + 19\/5*u**3 - 9\/20*u**4 - 4 - 32\/5*u**2. Factor g(l).\nAnswer: -(l - 5)*(3*l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79 and 2?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8785289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16502 + -152032?\nAnswer: -132230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328 and 1051240?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 28 + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 5*u - 19. Let l be -10 - -9*2\/(-6). What is the units digit of y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) -0.065 (c) 3\/5 (d) -5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 2*o + 18. Determine k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53373, 427758, 1443941, 3422820, 6685293?\nAnswer: 11552258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 321.7 to zero dps.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 6*c - 8. Let x be v(-7). Let u = x - -116. Let y = -17 + u. What is the remainder when y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99097955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57.02 - 396.02. Which is the closest to -1? (a) 4 (b) -2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5735399\/13 - -441185. Let -2\/13*h**2 + g*h + 20\/13 = 0. What is h?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54370 less than or equal to 31296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1 + 9 + 0 + 3*t. Let i(q) = -q - 1. Determine -6*i(b) - r(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97514791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4717992.31 rounded to the nearest one thousand?\nAnswer: 4718000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 4. Let y(p) be the first derivative of p**4\/24 + 10*p**3\/3 + 4. Let c(v) be the third derivative of y(v). Determine -4*c(s) + i(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/11 + 10*i\/11 + 75\/11.\nAnswer: -(i - 15)*(i + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*x + 5*x**2 - 42*x + (x + x + 0*x)*(-13*x + 31*x + 4*x) to w*x**2 + z + s*x and give w.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or -0.054?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7484.\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2)*-1*-5 + -1)**2)*-2.\nAnswer: -110 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -516128 (base 14) to base 8.\nAnswer: -12357650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 441 by 9.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 5*r**2 - 5*r + 2. Let v be g(3). Suppose -3*c = 5*i - 25, 2*c + 11 = 4*i - 9. Solve -i*k - 4*j + 25 = 0, -j + 10 = 7*k - v*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 7378*v**2 - 13 + 2*v**3 + 26.\nAnswer: 2*v**3 - 7378*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9976265619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6069)\/4046)\/(3\/(-60)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(272) - (sqrt(272) - -2*sqrt(272))))\/(sqrt(200)*4))\/(-6*1*-1*sqrt(2)*-3).\nAnswer: -sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/6792 and -83\/3962.\nAnswer: 47544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 + 1.9. Let a = 0.2 - 0.3. Let c = a - 0.9. What is the second biggest value in c, -5\/2, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 81. Solve 0 = -4*j - g - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8889\/10333 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -4, 0.313, -0.4, 0.1 in ascending order.\nAnswer: -4, -0.4, 0.1, 0.313, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 234445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 0.1465?\nAnswer: 0.1465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 + 269 = 7*w. Calculate the remainder when w is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1818 and 0.04.\nAnswer: -1817.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 11:39 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 8*x**2 - 18*x - 8. Let f(z) = -z**2 + 13*z - 30. Let o be f(8). Let s be m(o). Suppose 6*w + 0*w - s = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 13 + (0 - 5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (16 - -16) + -17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -h + 4*y, 0 = 6*h - 4*h - 5*y - 21. Let g = 1 + 0. Calculate the greatest common divisor of h and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3907 - -78217\/20. Let v = -18\/5 + d. Sort -4, -1\/5, v in descending order.\nAnswer: v, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*v + 57 = -v, -2*v + 6 = 0. Let q = m - -47. List the prime factors of 68\/(-17) + (q - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 36\/13, -8\/3, 30.\nAnswer: -5, -8\/3, 36\/13, 10, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**4*y**2 + 32*h**4*y + 4*h**4 - 2*h**2*y**2 + 2*h**2*y - 3902*h**2 wrt h?\nAnswer: 72*h*y**2 + 768*h*y + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5346 + 48038\/9. Let d = -175 + 871\/5. Find the common denominator of d and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -0.05, 0.1, -3\/103, 0.05?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209845647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.06 (c) -9.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 16*d + 2. Let u be z(-9). What is the highest common divisor of u and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 3*p = -10*h + 17, -5*h + 4*p + 29 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 29*j + 970. Let o(l) = 21*l + 976. What is 3*o(q) - 2*r(q)?\nAnswer: 5*q + 988","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 5015932*c - 15724733642890.\nAnswer: -2*(c - 6269915)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 5*q**5 - 2*q + (-1 + 1 - 3)*(-q**5 + 2*q**2 - 2*q**2) + (-2*q**3 - 2 + 2)*(-2*q**2 - q**2 + 5*q**2).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 9:25 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (154\/76 + -2)\/((-1)\/2). Which is the smallest value? (a) -0.5 (b) q (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1076598405 divided by -5.\nAnswer: -215319681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/5 + -2 + (-16)\/(-40)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 9*h + 10. Let m(n) be the second derivative of n**4\/12 + 2*n**3 + 4*n**2 + 2*n. Let t be m(-12). What is the units digit of w(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*-3)\/(-3 + 2). Let u(p) = -4 + p**3 - 4*p + k*p**2 + 0 + 1. Calculate u(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from ooxoxoxo?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*b**2 + 13116 - 145*b - 413*b**3 + 412*b**3 + 202*b wrt b?\nAnswer: -3*b**2 + 34*b + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4570*w**3 - 1610*w**3 + 6152*w**3.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32959194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 23*s**2 - 69*s + 134. Let g be i(-19). What is the third biggest value in -14, 1\/3, -56, g?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*v + 2*o + o, -2*v + 4*o - 8 = 0. Let n(a) = a**3 + 7*a**2 + 6*a + 5. What is n(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 1339, 1996, 2633, 3244, 3823?\nAnswer: 4364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -641530 - -2523?\nAnswer: -636004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33228499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + sqrt(1100) + -4.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 2. Let p be u(0). Let n = p - -4. Suppose -n*o = -o. Solve 2*f - 8 - 2 = o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x + 2. What are the prime factors of a(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/((-2)\/4). Let v(f) = 3*f**2 - f. Let j be v(x). Suppose -o - 105 = -j*b - b, -o = -2*b + 70. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-74)\/14 - (-118)\/413. Sort 126, 2, o in increasing order.\nAnswer: o, 2, 126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**5 - 6*c**4 - 6*c**2 - 5*c. Let y(g) = 3*g**5 - 5*g**4 - 5*g**2 - 5*g. Let i(s) = -5*m(s) + 6*y(s). Find the second derivative of i(l) wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - x - 3, 3*d - 4*x = -7*x + 21. What is the remainder when 37 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 836, 1086, 1578, 2366, 3504, 5046, 7046, 9558?\n\"Answer: 9*j**3 + 67*j**2 - 14*j + 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1084*k**3 + 1799 + 230*k**3 + 4657 + 2638*k**3 with respect to k.\nAnswer: 11856*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let s = 319\/10 - 32. Let u = s + 3\/5. Is u smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 256*m**2 - 131*m**2 - 127*m**2. Let p(q) = -q + 3*q + 0*q. What is p(g(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 446928099 to the power of 1\/2, to the nearest integer?\nAnswer: 21141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689069 (base 12) to base 13.\nAnswer: 468249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -46.1 and -2897140838?\nAnswer: 2897140791.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5773 in 2\/7, 3, -2\/3, 2\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512584.8 kilometers to micrometers.\nAnswer: 512584800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/7 + 3037*j**2\/7 + 6077*j\/7 + 3039\/7.\nAnswer: -(j - 3039)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -16.\nAnswer: -16, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let q = 112 - -63. Suppose 7*z = 2*z + q. Let v(p) = -62*p + z*p + 31*p. Give u(v(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*w + 525*w - 63 - 254*w.\nAnswer: 8*w - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -22*u + 3*m - 4*m, -m - 20 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117.2 - 117. Let n = 0 + -5. Which is the third biggest value? (a) -1\/4 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 7 + 7. Suppose -w + 5*d + 10 + 7 = c, 2*w + 5*d + 11 = 0. What is the third derivative of 3*x**w + 2*x**2 - x**2 + 39*x**5 + 3*x**2 wrt x?\nAnswer: 2340*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000366372 to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcx when three letters picked without replacement from {x: 1, o: 1, c: 1, p: 1, d: 1, l: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 51\/5, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 178*h - 1942. Let i(t) = -195*t + 1942. Let b(f) = -3*i(f) - 4*w(f). Differentiate b(g) with respect to g.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25863793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -37*h**4\/12 - h**3\/6 - 105*h**2\/2 - 168*h. Find the first derivative of k(g) wrt g.\nAnswer: -74*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 8 = -37. Let g be 6\/p - (-3)\/(-9). Suppose 4*h + 34 = 5*l + h, 3*h - 6 = -3*l. Which is the nearest to g? (a) -5 (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 23*r**3 - r. Let w be v(1). Let s = w - 152\/7. Which is the nearest to -1? (a) -0.5 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 648 by -24.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31d2c (base 14) to base 9.\nAnswer: -203357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*y - 10 = -0*k, k - 5 = 4*y. Let v(d) be the second derivative of 4*d + 1\/6*d**3 + 1\/12*d**4 - 1\/2*d**2 + 0 - 1\/20*d**k. Factor v(i).\nAnswer: -(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*z + 6*z - 2*s, -z - 4*s - 19 = 0. Let r = -0.3 + 5.3. Sort 1\/2, z, r in ascending order.\nAnswer: 1\/2, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = 45 - 1024. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19829 - 10632. What is the highest common factor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*p**2 - 106*p**2 + 231*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5241529, 5241532, 5241535?\n\"Answer: 3*k + 5241526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -28*g + 54. Let o(m) = -147*m - 2. Give o(r(u)).\nAnswer: 4116*u - 7940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2. Let s(k) = -13*k - 22. Give s(f(y)).\nAnswer: 39*y**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 75 = 3*u, -4*h + 19 = 2*u - 41. Let r be 16\/2 + -1 + (-5 - -6). Factor 3*i**3 - 14*i**2 - 35*i**3 + u*i**4 + r*i + 18*i**2.\nAnswer: 4*i*(i - 1)**2*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4 - 5. Suppose s - w*g + 6787 = 3*s, -3*g = 3*s - 10176. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:17 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39828750 by -1290.\nAnswer: -30875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3 + 0.7. Let x = d - 0. Let p = -49 - -145\/3. Which is the third biggest value? (a) -2 (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 - -91. Let b = n - -114. Suppose 5*v + b + 1 = 2*l, 71 = 2*l + 3*v. What is the highest common factor of 74 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189.3 + -189.321416. Round c to 4 decimal places.\nAnswer: -0.0214","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -2*d - 27*d**2 + 5\/2*d**3 + 0*d**5 + 0 - 3\/20*d**6 + 1\/24*d**4. What is the derivative of v(j) wrt j?\nAnswer: -54*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 41*u + 0 - 9\/2*u**2 - u**3 + 1\/4*u**4. Factor x(t).\nAnswer: 3*(t - 3)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1933009 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) 19\/2 (c) 2.7 (d) 62\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 366*t + 362*t = -4440, -5*a - 3*t + 5556 = 0. What is the smallest common multiple of a and 3?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b + 0*b + 7 - 7 to the form n + t*b and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - 283*n + 1. Let k(t) = 7*t. Calculate -7*k(x) - y(x).\nAnswer: -4*x**2 + 234*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2535 and 389295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 648.8 to the nearest integer.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396012864.\nAnswer: 2, 3, 13, 29, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 378*z**2 - 14*z + 15. Give c(1).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqbqqaq. What is prob of picking 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*r + 638 = 0, -4*y + 5*r = -0*r - 645. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 791 - 782.71. Let g = -10.51 + 9.6. Let j = y - g. Round j to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632375.2nm in millimeters?\nAnswer: 0.6323752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001112112212 (base 3) to base 2.\nAnswer: 10001001001001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4348, 8707, 13064, 17419?\nAnswer: 21772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2078188 is divided by 2601.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/120 + 3*n**5\/20 - n**4\/4 + 2*n**3\/3 - 13*n**2. What is the units digit of i(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let u(b) = -b**3 - 2*b**2 - b**2 - 7*b**3 + 4*b**2. What is the remainder when 16 is divided by u(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-4))*d**(-2\/19)*(d**(-31)\/d)\/d**(-13))**(-1) assuming d is positive.\nAnswer: d**(439\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -279.53 - -0.4\nAnswer: -279.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1989 * 0.1\nAnswer: -0.01989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 489 = -5*f. What is the highest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 2202*m**2 - 88680*m - 888800.\nAnswer: (m - 4444)*(m + 20)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 45. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3168)\/462*63\/(-18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 107.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001546 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 + 18 = -11*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 83*y**2 - 3*y - 58*y**2.\nAnswer: 25*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 3*a**2 - 8*a - 5. Let l(c) = 2*c + 25. Let q(r) = -r - 24. Let j(m) = 3*l(m) + 2*q(m). Let w be j(-8). What are the prime factors of v(w)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 5*h**2 - 8*h. Let g(m) = -15*m + 5*m**3 - 3*m**3 - m**2 - 8*m**2. Let w(q) = -11*a(q) + 6*g(q). What is j in w(j) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 21 = -l - 60 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 83. Let a(m) be the first derivative of -2\/5*m**k + 1 - 2\/5*m - 2\/15*m**3. What is i in a(i) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 5*p**2 + 4*p - 7. Let q(z) = -1 + 80*z + 3*z**3 - 2*z**3 - 81*z + 6*z**2. Let b be q(-6). What is w(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4396*j**3 + j**2 - 9*j + 3. Let s(b) = -8791*b**3 + 2*b**2 - 15*b + 5. Calculate -3*s(m) + 5*v(m).\nAnswer: 4393*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 6*k - 1 + 8 - 4 + 1 to h*k**2 + i + p*k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 0 + (-19 + 65 - 40)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 866979 and -3.\nAnswer: 866976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -1\/6*z**3 + 0*z + 9*z**2 + 0 + 5\/12*z**4. Differentiate p(y) with respect to y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338824700?\nAnswer: 2, 5, 101, 33547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1415125187, 1415125188, 1415125189, 1415125190?\nAnswer: 1415125191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20333\/16 - 1269. Suppose -3*h = -0*h - 219. Find the common denominator of l and h\/(-22) - 2 - -2.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**3\/6 - f**2 + 2*f + 1. Let s(n) be the first derivative of v(n). What is the units digit of s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - o + 3. Let a(d) = 2*d**3 + d**2 - 3*d + 7. Suppose -88 = -3*i - i. Let u = i - 36. Let k(h) = u*f(h) + 6*a(h). Factor k(s).\nAnswer: -2*s*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1462930 divided by 731465.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*i - 1, 79*g + i + 13 = 77*g. Let r = 54 - 272\/5. Which is the closest to 1.1? (a) -2 (b) r (c) 5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 57*h**2 + 508*h - 52. Give c(-11).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. Let h = -5 + 4. Let g(r) = r + 1. Let a(l) = h*g(l) + n(l). What is the units digit of a(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250919?\nAnswer: 3, 131, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8820\/2646)\/(35\/(-357))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(104) + sqrt(104)))\/(1*sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4942 and 1777202?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1, 26, 17 in increasing order.\nAnswer: 0, 1, 5, 17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.14015.\nAnswer: -0.85985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:52 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9357512322\/36829 - 254080. Let y be 10533022\/2833*(-2)\/(-936). Let a = z + y. Calculate the common denominator of -53\/16 and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*1.01\nAnswer: 1.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1901 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 - 1 + 1)*(-2*v + 0*v - 2*v) - 3*v**5 - v**5 + 0*v**5 + v**5 + v**5 - v**2 + 0*v**2 + 2*v**5 - v**2 + v**2.\nAnswer: -4*v**5 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.02861085 - 2\nAnswer: -0.97138915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(448) + 0 - sqrt(448) - sqrt(448))*-4)**2*-5.\nAnswer: -143360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (11 + -4 + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.43928 + 4.\nAnswer: -1.43928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 6:52 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 2, r: 1}. What is prob of sequence ze?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77520?\nAnswer: 2, 3, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**3 + 375*z**2 - 11529*z - 11907 = 0.\nAnswer: -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38947.999993568 + -38948. What is y rounded to seven decimal places?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 34.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p + 7. Let g(y) = -14*y + 3. Let t(m) = 7*m - 1. Let c(q) = 4*g(q) + 7*t(q). What is -7*c(i) + 5*h(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910950 at most 1910949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.091 + 124.088\nAnswer: 124.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -612722079.8 rounded to the nearest one million?\nAnswer: -613000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.4 (c) -0.06 (d) 3\/52910\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5\/5 + 249*a**4\/5 + 1012*a**3\/5.\nAnswer: -a**3*(a - 253)*(a + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 3:05 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/547 in -215, 0.18, -29?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**4\/2 - 99*g**3\/2 + g**2 + 36*g. What is the remainder when 119 is divided by d(27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158717881?\nAnswer: 29, 39955789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -35, -39, -43?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {v: 3, c: 1, e: 6, x: 1, h: 4, j: 3}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 599 + -553. Calculate the remainder when 78 is divided by z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 3 + 2 + 3. Suppose -v - 3*d = u - 61, d = 3*v - 192. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 241*s**2 + 9*s + 2. Let y(o) = -2*o. Determine y(n(j)).\nAnswer: -482*j**2 - 18*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21731054 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/10 - 260\/(-650). Let s(c) = -19*c + 106. What is s(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96\/7 + (-60)\/(-14) + -4 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 2*x + 33. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*5\/(10\/(-12)). Let t be (l\/8)\/((-15)\/(-40)). Suppose -4*w - 2*q + 4 = 0, -2*w + 0*w = -5*q - 2. Solve t*n = w + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32589665.\nAnswer: 5, 6517933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31365073, 31365087, 31365101, 31365115?\n\"Answer: 14*p + 31365059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 448\/(-240)*(-366 - -18). Which is bigger: c or 649?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/19)*r*r)\/r**24)\/(r**(2\/3))**(-6))**31 assuming r is positive.\nAnswer: r**(-10664\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*k**2 + 15*k**4 + 18*k**3 - 40 - 9*k**3 + 71*k**3 - 30*k.\nAnswer: 5*(k + 1)**2*(k + 4)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1814535 divided by 5.\nAnswer: 362907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from igjyrymr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 5*b**2 + 8*b + 8. Let v be k(-6). Suppose 0 = 4*c - 4*p + 3 + 17, c + 11 = -2*p. Let y = 6 + c. Sort v, 4, y in increasing order.\nAnswer: v, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-16)\/(-4) + 1. Suppose 5*p + 28 = -l*f, -3*f - 5*p - 26 = -p. Does 36 divide (-13090)\/(-91) + f\/(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72515003 a multiple of 1727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1240 + 1246. Solve p = 8*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f + 17 = -4*z - 37*f, -f + 27 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*l + 26 + 4 = 0, a = -2*l - 5. Solve -a*y + 5 = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001215 rounded to five decimal places?\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -13, -2\/15, -1\/90, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*b - 35*b - 48105. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108671*b - 108671*b - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 29*j + 184. What is p(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 774, 1586, 2436, 3330, 4274, 5274?\n\"Answer: b**3 + 13*b**2 + 766*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 5. Let y be (-2 + 1)\/(1\/9). Let t = 35\/4 + y. Which is the closest to 0.3? (a) m (b) 1\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 3*x**6\/10 + 8*x**2 - 19*x. What is the first derivative of s(b) wrt b?\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1446*v + 1628*v - 9558*v + 1620*v + 1624*v + 1617*v + 1621*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 - 286*o**2 - 163*o - 172. What is the units digit of r(97)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 90 = 4*k, -3*k + 10*h = 5932 - 5830 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqrrppt. What is prob of picking 1 q, 1 r, and 2 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 9*w + 6. Let d be s(8). What is the units digit of (-7 - (d + 1))\/(-2) + 119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (197 - 185) + (-7 - -1). Solve -7*v = -8*v - 4, -2*w + f = -2*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 98.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17036)\/17012 - (-2 - -1). Let j = c - -12053\/5528900. Let p = -6173\/2600 - j. Find the common denominator of p and -47\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77105077?\nAnswer: 7, 37, 71, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - f - f + 7, -4*t = -3*f + 18. Let y = 277 + -1935\/7. Let c = -1.06 - -0.06. Put t, c, y in decreasing order.\nAnswer: y, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -169*o**7\/210 - 13*o**6\/9 - 5*o**5\/6 + 13*o**3 - 92. Let b(y) be the third derivative of x(y). Factor b(z).\nAnswer: -4*z*(13*z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 3:09 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 29*r + 42570 = 0. Calculate the smallest common multiple of 4 and r.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.2 times -36046?\nAnswer: 7829191.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 1 = -3*f - 30, 0 = -2*h + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102000 (base 3) in base 15?\nAnswer: -7c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-114)\/4*(-26)\/3. Let o be s\/52 + 1\/4. Solve -3 = -z - o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/8632 and 101\/624.\nAnswer: 51792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kees when four letters picked without replacement from {g: 3, e: 4, s: 1, k: 1, p: 5}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 6*z**2 - 2. Let k be w(6). What is the units digit of 242\/(-33)*21\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19739 is divided by 9849.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(208) + sqrt(208))\/sqrt(4) + sqrt(156)\/sqrt(12))\/(sqrt(8)\/sqrt(2)*-3 - sqrt(4)*-2*4).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22598.67 tonnes in kilograms?\nAnswer: 22598670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*l = 8, -8 - 4 = 3*z + 3*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -12, 0*o - 2*o + b - 19 = 0. Let u = o - -11. Let x be 6\/12*u\/((-27)\/6). What is the biggest value in -5\/6, -3\/4, -2\/11, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Let k = -4 + r. Let h = -97 - -92. What is the third smallest value in 5, k, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104\/9 or 11?\nAnswer: 104\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -220 - -27?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 + -108. Let v = a + -15. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185463 (base 12) in base 4?\nAnswer: -1213201023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 51351?\nAnswer: 51354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 4*c + 3 - 1, 2*i - 5*c = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -2\/17 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p - 154. Let t(x) = -9*x + 236. Let v(y) = -8*a(y) - 5*t(y). Let s(o) = -o**2. Give s(v(u)).\nAnswer: -9*u**2 + 312*u - 2704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7202, 28787, 64758, 115115, 179858, 258987?\n\"Answer: 7193*b**2 + 6*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 4. Let b(x) = -x**2 + 12*x - 18. Let k be b(10). Suppose -k*d + 160 = -7*d. Let t = 29 + d. Calculate w(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(200) + sqrt(200))**2*4 + (sqrt(2) - sqrt(96)\/sqrt(12) - ((0 + sqrt(2))**2 + 5)).\nAnswer: -sqrt(2) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137.36 * -0.4.\nAnswer: 54.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14401 and 277.\nAnswer: 3989077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/39 - (-17428)\/52. Suppose 2*z - 729 + 176 = -5*f, v = 3*f - 2*z. What are the prime factors of f?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {k: 6, w: 1, r: 1, a: 3, p: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1.5 (b) 887 (c) -2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 8*y + 7. Let x(d) be the first derivative of d**3\/3 - 9*d**2\/2 - 8*d - 410. Determine -7*f(l) - 6*x(l).\nAnswer: l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 228\/(-95)*-10 + -22. Let l(u) = -5 + 2*u**3 + 3 - 3*u**3. What is l(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. What is the derivative of h*f - 7 + 5*f + 4*f - 5*f wrt f?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 670 divide 534465030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10370\/671)\/(-85)*((-4)\/(-2))\/(-2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*f + 11 - 7 = 0, 0 = 5*b - 5*f - 40. Solve -b*l + 3 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Suppose v = -2*c + 5*s - 58, 4*c - 4*s + 76 + 16 = 0. Let h = -11 - c. What is the remainder when 30 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17797689 + 498475037\/28. Let d = r + -4990. Find the common denominator of 93\/16 and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219146, 219149, 219152, 219155?\nAnswer: 219158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*s - s. Let z be 9 + (23\/115 - 62\/10). Suppose z*x + 8 = s*x. What is the greatest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3290*j + 18440 = 2511*j - 10745 - 20671 for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171.66 centimeters in nanometers?\nAnswer: 11716600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 30. Let d be ((-3)\/p)\/((-2)\/(-8)). What are the prime factors of 6\/1 - d*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r**5\/4 + 20883*r**4\/2 - 3577515*r**3 + 767410755*r**2\/2 - 1403503101*r\/4 - 29262519 = 0 for r.\nAnswer: -1\/13, 1, 212, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3861.855 to the nearest integer.\nAnswer: 3862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 + 3)\/(-3)*204242\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -37243 and -4322060686.\nAnswer: -4322097929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76\/5*c**2 + 1\/5*c**3 + 256*c + 1280 = 0.\nAnswer: -4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*o**2 + 70*o**2 + 4*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 19*h - 99*h - 515*h - 125*h to p + a*h and give a.\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38627 smaller than 38613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 0*c + 4*c)*(-65 - 55 + 124)*(4*c - 5*c + 2*c) to w + x*c**2 + s*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 3*o + 0*o = -20*o + 3825 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1491 - 1645 - h**2 + 3136.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g - 22 - 2*g + 10*g to the form l + a*g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4\/9)*q)\/q*q)\/(q**(4\/5)\/q))**(-6) assuming q is positive.\nAnswer: q**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**3\/3 + 3*t. Let b(a) = 3*a. Determine h(b(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2071471*y**2 - 12*y + 253. Let h(j) = 690490*j**2 + 5*j - 85. Let s(l) = 11*h(l) + 4*z(l). Let x be s(-9). What is x rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:25 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1909, 2, -2 in ascending order.\nAnswer: -2, -0.1909, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-35) + (2 - (-26)\/(-7)). Let h be (9 - b)\/((-1)\/(-5)). Calculate the highest common factor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14826*w**2*z**2 + 3*w*z - 2*z**2 + 68*z + 4 wrt w.\nAnswer: -29652*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.21 - -12.79. Let x = -12.897 + y. What is x rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 149) + -10 + (-9 - -24 - 6).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + o**2 - o. Let g(y) = 5*y**3 - 4*y**2 + 2*y. Let z be (-2)\/10 - (-36)\/(-45). Determine z*g(u) - 2*n(u).\nAnswer: -3*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = -12. Let n = -9 - -14. Solve -3*a - 1 = h - n, h = r*a - 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**3*f)\/f)*f)\/(f*f**0)*((f**0\/f)\/f)\/(f*f**(-1\/5))*f**(-3\/4)\/(f**0\/(f**(-3\/4)*f)) assuming f is positive.\nAnswer: f**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is (13\/12 + 80 + 7378\/(-93))*(-6)\/154?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 5*v + 4*p - 8*p, -255 = -4*v + p. Suppose -v*d - 11220 = -87*d. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(3078) - sqrt(3078))\/(sqrt(288) - -1*(sqrt(288) + sqrt(288)*-1)).\nAnswer: -39*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 11*m - 11. Suppose 5*a = 23 + 27. Let z be j(a). Let s = z + 6. Sort 3, s, -4 in decreasing order.\nAnswer: s, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3751 and 7352323.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -168 - -241. Let d = p - 73. Sort -5, -0.2, d.\nAnswer: -5, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31957 equal to -2396762\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.73 - 0.86. Let j = -7.47 - -7.1. Let k = o + j. Round k to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(12\/(-6))*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 42 = 2 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysfsnfs. Give prob of picking 1 f, 1 n, and 1 s.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 5 + 2)*(-4 + 6 - 4) + 0 + 0 - 3)*(-1447*z + 38*z**2 + 1447*z) in the form j*z + a + c*z**2 and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(3\/5)*h*h)*h**(5\/6))\/(h\/h**(-4))**16 assuming h is positive.\nAnswer: h**(-2423\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 24\/4 + 0. What is the second derivative of 8*m - 7*m + s*m**3 + 10*m + 0*m**3 wrt m?\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -165.3 to zero decimal places.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -139\nAnswer: -4\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2093 + 18.2093. Which is the nearest to 0.1? (a) -0.3 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 0. Let f = -1 + b. Let o = 6 + -8. Put -5, o, f in increasing order.\nAnswer: -5, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6150730 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.7 and -11?\nAnswer: -84.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/45 and ((-18)\/100 + -1)\/((-82)\/164)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 79 - 2?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*h - 35 = 0, -22*z = -25*z + 4*h + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 6) in base 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 119522941 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/(-336))\/((1 + 1)\/8). Which is the second biggest value? (a) -2 (b) x (c) 1\/3 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1465144 divided by 2984\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/184318 and 5\/16.\nAnswer: 1474544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b + 7320 - 20235 = 0. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28503, 5, -283 in descending order.\nAnswer: 5, -283, -28503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -d + 74, 3*d - 358 - 12 = -2*k - 2*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 16*h - 12 = 0. What is the units digit of 1\/((-1)\/h) - -74?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29279, 60037, 90795, 121553, 152311?\n\"Answer: 30758*r - 1479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 times 0.03392?\nAnswer: -0.0247616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 177\/17 != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 595 - 287. What is the greatest common factor of 56 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, p: 4, z: 1}. What is prob of picking 4 p?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/231)\/((-52)\/182).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 34 (c) 5\/29 (d) -0.09 (e) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -110, -127, -162, -221, -310, -435?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713*m - 6 = 704*m + 66 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -69.5. Let r(p) = -p**3 + 4*p**2 - 2*p - 4. Let a be r(3). Let n = 3\/16 + -59\/144. Sort a, i, n.\nAnswer: a, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000315 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-238)\/(-49) + (-3)\/63*-3. Sort -2\/3, -29, a, -1 in ascending order.\nAnswer: -29, -1, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/5, -3, -13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 + 2*k**2 - k - 2. Suppose 0 = -14*i + 21 + 7. Let p(z) = -z**i + 4*z**2 + 1 - 4*z**2. Give -2*p(f) - v(f).\nAnswer: -4*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66481\/144 - -4132\/9. Let m(x) = x**2 + 7*x + 1. Let z be m(-7). Find the common denominator of s and z - (-1 + (-604)\/(-80)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 8*y + 10. Let d be n(7). Let w be 2\/(-8) + (-18)\/(-8). Factor w - 2*a**2 + 6*a**d + 0 - 33*a + 27*a.\nAnswer: 2*(a - 1)*(a + 1)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.1. What is the nearest to x in -0.2, -5\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*k - 13 = -k, -3*n - k = 1. Let w be 210\/(-12) + (-323)\/(-19) + (-10)\/(-8). What is the biggest value in n, -2, w, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 949360 and 949360.\nAnswer: 949360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-416)\/20)\/((-16)\/20)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.159931 times -466\nAnswer: -74.527846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {e: 4, d: 3, r: 3, i: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 187\/(-22) - (-6)\/4. Is (a - 255)\/(2\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**4\/8 - b**2. Let w(i) = 11. Let h(f) = 5*f + 220. Let o(r) = -h(r) + 20*w(r). Give o(a(y)).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 12:00 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28199 and 22144.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3555792816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:25 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30.785 and 19827976?\nAnswer: 19828006.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 181248 and 5216.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5563, -5560, -5565, -5584, -5623, -5688, -5785?\nAnswer: -5920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpp when three letters picked without replacement from {p: 3, f: 2, r: 7}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/594 - 1685400\/(-32400).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 331.2 + -401. Let o = -143 - v. Round o to 0 dps.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638923043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -u - 3*h + 65, 159 = 3*u - 3*h. Suppose r - u = -0*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3665303 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1082331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffofffvoo. Give prob of sequence fvf.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.670863649 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 381 and 7747?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/26 and -97\/6471264.\nAnswer: 84126432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-2 + 2)\/(-2). Let h = o + 2. Suppose h*m - 75 = 30. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -8 - 8. Let h be l\/10*(-13)\/(-208). Is h <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s + 20. Suppose 4*n - 2 = o, 4*o - 3*n = -o - 10. Let w be c(o). Is (-4 - -1*(1 + w))*-229 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 49. What is the smallest common multiple of a and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + 2 = 0. Let b(q) = q. Let r be b(t). Find the second derivative of -m**3 + r*m - 2*m**3 + 2*m**3 wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 20, 2\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**2*q - 360*g**2 + 8065*g*q + 3*g - 2*q**2 wrt q.\nAnswer: -4*g**2 + 8065*g - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -58*g + 401. Give v(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -690 divided by 3\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 4248.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1011844, -1011850, -1011856?\n\"Answer: -6*k - 1011838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970118025.\nAnswer: 3, 5, 79, 163733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435 + 353 - 64*f**2 + 66*f**2.\nAnswer: 2*f**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**3 - 2*k**2 - k + 2. Calculate the smallest common multiple of h(1) and 62.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-5)\/((-20)\/(-276)). Suppose 7 = 5*w - m. Calculate the remainder when w is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/797 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -264701, -1058791, -2382281, -4235177, -6617485, -9529211, -12970361, -16940941?\n\"Answer: -r**3 - 264694*r**2 - r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/15 + 568*j**2\/15 + 39754*j\/15 - 81796\/15.\nAnswer: 2*(j - 2)*(j + 143)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 25687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-105)\/(-25)) + 78 + -103?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i + i**2 - 4*i)*(0 - 1 + 3) + (-4 + 1 + 1)*(-28*i**2 - 79*i**2 - 33*i**2) to the form v*i**2 + j*i + y and give v.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 3\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113 - -5?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7376525 is divided by 1704.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -7*o + 17*o. What is the remainder when o is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**2 + 4*w**2 + 12*w**2 + (-w - 4*w + 4*w)*(66*w + 5 - 172*w + 88*w).\nAnswer: 41*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(19) + -1 + sqrt(19) - (sqrt(19) + -2)*3 - ((1 + sqrt(2299))**2*1 - sqrt(2299)))*3.\nAnswer: -13782 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 8*h + 24. Let g = -10 - h. Let y = 7 + g. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*-9*(-20)\/45*-14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)\/u**3 assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:24 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*u - 248, -2*u = -5*g - 150 + 451. Calculate the remainder when 2553 is divided by g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/4 + 17*c**3\/3 - 16*c**2 - 26*c + 246. Let v = -9 + 23. Is 20 a factor of n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k + 25 = -c + 74*k - 38*k, 5*k - 500 = 14*c for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -12 + 16. Let v = 116 - 68. Suppose 4*h - 4*k = v, h - k + 16 = 4*h. Solve -h*n + 5*d + 22 = -g*n, -n + 12 = -4*d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 22. Suppose 2*l - 25 + m = 0. Let n be (-26)\/(-14) - l - 325500003\/(-21). Round n to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + k - 2369407. Let f be j(0). Let p = 4188540 + f. Let r = p - 2929133. What is r rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 85.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -10168\/11547?\nAnswer: -10168\/11547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z**2 + 6*z + 125. Let i(u) = 5*u**2 + 4*u + 49. Let b(s) = -5*i(s) + 2*y(s). Let v(x) = x**2 + 4*x - 2. Calculate -2*b(n) - 5*v(n).\nAnswer: -3*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545692384.\nAnswer: 2, 17, 1003111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**4 + 232763*q**3 - 1086182*q**2 + 1551668*q - 620664 = 0.\nAnswer: 2\/3, 2, 77583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4068 (base 16) to base 5\nAnswer: -1011423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.28 and -13.83 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -179?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 - y**3 - 3*y**2\/2 + y - 1. Let u = -5 - -9. What is the units digit of k(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1831 and 211.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.6 (b) -3.2 (c) 1\/6 (d) 2\/7 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 285 - 122. Suppose 6 + s = x. Let n = 26 - 11. What is the remainder when x is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.86, 9, 4 in descending order.\nAnswer: 9, 4, -0.86, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let b(a) = -25*a**2 + 16*a + 14. Determine o(b(g)).\nAnswer: 25*g**2 - 16*g - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 5. Let g = v - -3. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y**(-2\/7)*y**(2\/7)*y*y\/(y\/(y**3*y)*y*y))**(1\/29) assuming y is positive.\nAnswer: y**(8\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.39405 micrometers to centimeters.\nAnswer: 0.005739405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240 - 302. Which is the nearest to -1\/3? (a) v (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + sqrt(19)) + sqrt(1216) + 1 + 0)**2.\nAnswer: 416*sqrt(19) + 3467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 48237*-14\nAnswer: -675318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 2157615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 12, 0 = 3*q + 4*x - 61 - 22. Solve -q*r = -34*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/10*(-80)\/(-12). Suppose 0 = 4*f + 2*a - 0*a - q, -5*f + 2*a + 11 = 0. Is 13 a factor of 6\/f*-5*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) - 53\/(-3). Let q = -12 + f. Suppose -w + 2*u = q, -3*w - 2*u = -7*w + 6. Solve 4*c = 5*a + 13, c - 4*a = w*c + 29 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003517 rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*w = 3*w, 4*f + 2*w - 8 = 0. Suppose -y + 2*a = -f, -y + 9 = 5*a - 2. Is y\/27 + (-709)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/2 - w**3 - 3*w**2 + 13*w - 76. Let q(h) = 13*h**2 + 11*h + 11. Determine 4*q(b) + 7*t(b).\nAnswer: 10*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/147 + 93\/(-168).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61603115*y + 61603108*y - 123206226*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/36*2\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*w - 822 = 188*w + 3*n, n + 1233 = -3*w. Which is greater: -412 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42978 and 80736.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -446*-4\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -11, -5 in decreasing order.\nAnswer: 7, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 20.2028 and -11.\nAnswer: 9.2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.270661 rounded to one decimal place?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 minus -21229?\nAnswer: 20545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 77 - 147 = 0. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 885 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 3*i**2 - 4*i + 3. Let t be r(4). Let h be -3 + 25\/35 - -2. What is the second biggest value in -0.2, t, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/21)*f\/f**(-9)*(f*f\/(f\/(f\/(f\/(f*f**(2\/7)))))*f)**(-38) assuming f is positive.\nAnswer: f**(-2411\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-25))\/(1177\/(-5885)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 5*i**3 - 2*i**3 + 3*i**3 + 4*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 574355482 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11728*a*t**3 + 8*a*t**2 + 353648*t**3 wrt a?\nAnswer: 11728*t**3 + 8*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 1968?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*n + 32 - 438 - 397*n + 206*n.\nAnswer: 6*n - 406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -152*k**2 + 71*k**2 + 72*k**2. Let i(o) be the third derivative of -o**5\/30 + o**2. What is i(m(s))?\nAnswer: -162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 5:47 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -24. Suppose -m*w = -2*w. Suppose w = -f - 3*f. Solve f = i + 3*r - 10, r = -4*i + 3 + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18992 + 18992.0010709. Round q to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + 2*n**3 - n - 15 + n.\nAnswer: n**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/24 - 4*q**2 + 5. Let h(u) be the third derivative of u**4\/24 - u**2. Calculate x(h(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1036\/(-7)*(-6)\/8. Suppose 5*p - x = 14. Solve -4*r = 5*f + 1 + p, -r = 5*f + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) 0.066 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*l**5\/7 + 124*l**4\/7 - 44*l**3 - 496*l**2\/7 + 720*l\/7 = 0. What is l?\nAnswer: -5, -2, 0, 9\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/6 (b) -0.8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**2 - 2*n - 646. Let m(o) = -4*o**2 + o + 323. Give -5*m(i) - 2*t(i).\nAnswer: 2*i**2 - i - 323","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-8) + (-254)\/(-8). What is the second derivative of 3*i**2 + 0*i - 4*i + 4*i + g*i**5 - i wrt i?\nAnswer: 620*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + -11010011111001000?\nAnswer: -11010011111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(2 + (30\/(-4))\/3). What is the nearest to 1 in -0.5, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 24 = -4*b - 4*s - 37, -20*s = b + 69 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19 + -4)\/((18\/(-8))\/(-3)). Let y be (-1 + -1 + 1)*f. Let x = y + 17. Put -4, 0, x, 4 in increasing order.\nAnswer: -4, x, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186 - 186 - 4*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 3*d + 60. Let h = -413 - -448. Calculate the remainder when h is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158736 is divided by 233?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/5 - 294*p**2\/5 + 297*p\/5.\nAnswer: -3*p*(p - 1)*(p + 99)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 11. Let c be m(-4). Suppose 3 = 2*t - c. What is the remainder when t is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1286 - 2.8314. What is the second smallest value in m, 5\/4, 5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1488 and 3376.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277916, 277912, 277906, 277898, 277888?\nAnswer: 277876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/2 - 47*k**4\/2 + 82*k**3 + 30*k**2 = 0 for k.\nAnswer: -1\/3, 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)*j**4*j**(-1\/9)\/(j\/j**(-3\/10)) assuming j is positive.\nAnswer: j**(-217\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*o - 4*n, -3*o + 7*n - 3*n - 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 51. Calculate the remainder when (45\/(-10))\/(2\/g) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 33\/5 of a micrometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 6*f**5 + 3 + (3 - 3 - f)*(f**4 + 3*f**4 - 5*f**4) - 2*f**3 - f**3 - 14*f**3 + 2*f**5.\nAnswer: 9*f**5 - 17*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -13*t - 5. Let k(a) = 7*a + 3. Let y(s) = -7*k(s) - 4*n(s). Let v be y(1). Factor -3*u**v + 2*u + 3*u**2 - u**2 + 2*u**2.\nAnswer: u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068930.2 months in centuries?\nAnswer: 1724.1085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -12. Let l(k) = -3 + 2815*k**2 + 2792*k**2 - 5600*k**2 - 3*k. Let a(c) = 35*c**2 - 14*c - 14. Give g*l(d) - 3*a(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvvccdccczc. What is prob of sequence cvz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29841 is divided by 297?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261\/29*-3*(-4)\/(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14390489*i**2*u**2 - 2*i*u**2 - 78565*i*u - 5*u**2 wrt i.\nAnswer: 28780978*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44551*r**2 - 126254*r**2 + 81721*r**2.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -24.52. Let j = -190 - -189. Which is the smallest value? (a) j (b) -3\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 24 = 5*d - 3, -d - 9 = -2*z. Solve -4*h + 29 = -5*f - 0*h, z*f + h = -9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlvvvcvlvvlvvvvvvcvv. What is prob of picking 2 v and 1 c?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 4 - 8)*(h**5 - 3*h + 3*h).\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 + 3*v**3 - 2*v**2 - 3*v**3 + 3*v**3 - 4*v in the form m*v**3 + l + q*v**2 + u*v and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 99. What is the thousands digit of (-38780)\/a - (-16)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 - 2*g + 13*g + 2*g**3 - 2*g**2 + 53 - 5*g to the form s*g**2 + d*g**3 + h + a*g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c = -304 + 34 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 96, 119, 144, 171?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -69*z - 272 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0009 - -10.0009. What is the closest to 2\/23 in -0.3, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**5 - 812*k**4 - 27744*k**3 + 353952*k**2 + 6568128*k + 21695040 = 0. Calculate k.\nAnswer: -155, -54, -6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. What is the closest to k in -5, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 725 and -0.1.\nAnswer: -72.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*r - 1 = -76*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 + 590\/7. Let i = 29 - 45. Let n = 18 + i. What is the second smallest value in n, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87896 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 27*s**2 - s - 8. Let y(v) = -v**2 + 3. Calculate 3*y(w) + z(w).\nAnswer: 24*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 1121 + 1127 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-21))\/(-4)*-7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/7)*(m*(m\/m**(-10)*m)\/m*m)\/m)**(-40) assuming m is positive.\nAnswer: m**(-3520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 587912 and 17888?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 2. Let q = u + -2. Suppose -3*r = -8 - 4. Sort q, r, 0.4.\nAnswer: q, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2658281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -357*x + 720*x + 5*x**2 - 363*x. Let s(n) = -n**2. What is s(b(t))?\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -481*f*s**3 - 89*f - s**2 wrt s.\nAnswer: -2886*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1636845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.69045+265\nAnswer: 264.30955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - v + 0)*(-3*v**4 + 3*v**4 + 2*v**4) - 2*v**5 - v**5 + v**5 + v**5 - 2*v**5 + 6*v**5.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/6, 505, -49 in decreasing order.\nAnswer: 505, -1\/6, -2\/9, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 42\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 8:05 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 2. Let s be j(-6). Let x be 248\/(-8) - (-4)\/2. Let y = 27 + x. Which is the nearest to -8? (a) y (b) -2\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/7*(-2)\/2 + -3. Sort 15, c, 2 in increasing order.\nAnswer: c, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, -1\/5, -1\/11, -2, -15\/41, -1\/2, 83?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 16*j**2 + 16*j - 12. Let m be z(7). Let i(x) be the first derivative of 2 + 1\/2*x**m + 0*x. Let v(d) = d. What is v(i(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.84 + -2.64. Let d = -6 + 6.7. Let q = d - -0.3. What is the third biggest value in -2, q, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31500 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 8 + 10 - 2*u**2)*(368*u - 1 - 1 - 331*u).\nAnswer: -74*u**3 + 4*u**2 - 814*u + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49639391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -174, -334, -500, -672, -850, -1034?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/2 in -2\/3, -0.3, 7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10074*b + 775663. Give z(-77).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 6135*g**2 - 2005*g**2.\nAnswer: -8140*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 1241.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -395 (b) -313 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2126 = -64*x + 2446. Let b(v) = -v - 10. Let m be b(-8). Put 1, m, x in descending order.\nAnswer: x, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:37 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 + 8*w - 9. What is the units digit of l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:44 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -1, -9, -3, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140336 - -19929787\/142. Let z = -8\/71 + q. Let b = -1523\/6 - -616\/3. What is the common denominator of z and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 41140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 6. Let a be t(5). Suppose -3*l + 51 = 4*y, -l + a + 8 = -2*y. What is the greatest common divisor of 34 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610589 a multiple of 733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163 + -11. Is k\/8*(-56)\/21 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12) - 1*5\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 + 1. Let y be c(-1). Suppose -13*j + 663069 = 663316. Sort 0, y, j.\nAnswer: j, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 - 85*u + 315*u - 56 to the form s*u + n and give s.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9*3*((-16)\/6)\/(392\/(-98))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9 + -5 - -4) + 556 is divided by 115.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i**2 + 12 + 0*i - 22*i**2 - 9*i**2 - 22*i**2 - 3*i in the form b*i + s + g*i**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5000, -19954, -44858, -79712?\n\"Answer: -4975*z**2 - 29*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379873 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8600*o**2 + 258. Let v(t) = 167*t**2 + 5. Determine -5*c(f) + 258*v(f).\nAnswer: 86*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75165 is divided by 1639.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + 3*f**5 + 5*f + (151257*f**2 - 219*f**3 - 151257*f**2)*(0*f**2 + 3*f**2 - f**2).\nAnswer: -435*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (524\/(-60)*-2)\/(94\/(-4371)). Is -813 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -515.0491 - -515. Round b to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skck. Give prob of sequence cks.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-939)\/(-11581))\/(6\/(-4)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 33\/14131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 253 and 184.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - a + a)*(-6*a - 5 - 5 - 4) as t + w*a + u*a**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010112001 (base 3) to base 15.\nAnswer: 68d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*o**4 - 369998*j*o**3 - 2*j*o - 81535*j - 2*o wrt o?\nAnswer: 12*j*o**2 - 2219988*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/4 + 1781*o**2\/2 + 3565*o + 3566 = 0. Calculate o.\nAnswer: -2, 3566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**4 - 356*p**3 - 5160*p**2 + 3600*p.\nAnswer: -2*p*(p + 30)**2*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10488316 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 9*f - 12. Let y be v(10). Let b be 65*11 + (-15)\/(-5). Is 1\/(-4)*y*b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 5*q**3 - 91*q**2\/2 + q + 187. Let f be r(6). Sort 53, f, 1 in increasing order.\nAnswer: f, 1, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmt when three letters picked without replacement from {m: 5, r: 4, t: 7}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/3)*z*z)\/z*z\/(z*z**(3\/4)*z*z))**(-2\/7)\/((z*z*z\/(z**2*z*z)*z)**(2\/5))**(-3\/19) assuming z is positive.\nAnswer: z**(5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/15 + (-72)\/(-540). Let p(r) be the second derivative of v*r**2 + 0*r**3 + 0 - 1\/18*r**4 + 1\/30*r**5 + 4*r. What is z in p(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4 - 287947*f**3 - 1087146*f + 5 wrt f?\nAnswer: 24*f**2 - 1727682*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**3 - 9*u**2 - 6*u + 6. Calculate the remainder when 5879 is divided by r(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/24)\/(5 - (-56)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2160 and 318120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1105)\/2340)\/((32 - 29) + 78\/(-20)) and -149\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -20*v - 695 + 89*v + 652. Let n be j(-19). Is 19 a factor of 1\/((-6)\/n) - (-4)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 6. Let u = 3 - -2. Suppose u*a - 9 = 6*a. Let i = -14 - a. Let d(x) = -x - 4. Calculate i*f(h) - 8*d(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 424 * 523595\nAnswer: 222004280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-372)\/217)\/(3\/(-21)) + -11. Solve -40*h + 44*h - 3*o = -19, 4*h + o - k = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - 100.59. Let f = 1.09 - w. Round f to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1664.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 at most as big as -2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*o*p**2*y + 5*o - 26442*p*y + 136477*y wrt p?\nAnswer: 44*o*p*y - 26442*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 242*3842\/48 - 17\/204 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -18*(1 + -2) - -1. Suppose w - 21 = 3*r - 2*w, 5*r + 5*w + 45 = 0. Let t = x + r. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2 - 49. Let g(p) = 8*p**2 - 49. Give 7*f(i) - 6*g(i).\nAnswer: 8*i**2 - 49","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -24 - 8*r**2 + 0*r + 4\/5*r**5 - 5*r**4 + 32\/3*r**3. Factor a(b).\nAnswer: 4*b*(b - 2)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -4 (c) 0.3 (d) -2 (e) 33421\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 5*r**2 - 5*r - 2. Let d be i(4). Let p(g) = 13*g - 2. Let c be (-104)\/6*24\/16. Let v = 15 + c. Let t(u) = -7*u + 1. What is d*p(l) + v*t(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 141*s. Let y(u) = -36*u. Give g(y(m)).\nAnswer: -5076*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 23*b + 22*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 220 + 4672*p**2 + 886 + 701 - 145 + 44 wrt p.\nAnswer: 9344*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 + (7 - (0 - 1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371745.7nm to millimeters.\nAnswer: 0.3717457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 + -151. Let m(y) = -26*y**2 - x - 16*y + 16*y + 6*y. Let u(s) = 5*s**2 - s + 1. Give -3*m(j) - 16*u(j).\nAnswer: -2*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h**2 + 2460*h + 233157. Calculate k(-76).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 14*k**2 + 14*k - 7. Let a be n(13). Let x(d) = d**2 + 72. Let g be x(0). What are the prime factors of a\/(-8) + 1926\/g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Suppose -c*h + 14 = -4*z + 7*z, 4*z = 4*h - 24. Let s = 14 + h. Calculate the smallest common multiple of s and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*n + 8*n = 11*n + 1563912. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 89 in 1\/5, -4, 1, 9\/7, -1\/3?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 1:11 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -155 (b) -112 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2042051594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 5420 - 5420. Let u(h) be the second derivative of 7*h**3\/6 + 60*h - 1. What is u(c(f))?\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 13*v**3 - 4*v**2 - 4*v - 2. Let m(s) = -2*s**3 - 3*s**2. Let g(n) = -j(n) + 2*m(n). Let c(x) = 8*x**3 + x**2 - 2*x - 1. Determine 13*c(z) + 6*g(z).\nAnswer: 2*z**3 + z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5002?\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**5 + 16779*a**4 + 134352*a**3 + 403176*a**2 + 537648*a + 268848 = 0.\nAnswer: -2, 5601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f - 1. What is the tens digit of n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135\/8 + -10. Let t = 64031\/10 + -6398. What is the common denominator of j and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 29*m**2 - 4*m**2.\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 18 + 6 + -16 - 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 84015095?\nAnswer: -2\/84015095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7750063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26120006 - -34?\nAnswer: -26116642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -45*c + 43*c - 11 - 4*c**2 + 7. Let s(p) = -9*p**2 - 4*p - 9. Calculate 7*l(r) - 3*s(r).\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/44 and -111\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (3 + 18))\/((-1 + 9)\/(-8)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(12)\/(sqrt(8)\/sqrt(2)*-3).\nAnswer: -1 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(7 + -16) + 2\/(-18). Let c - 2\/15*m - 2\/15*m**2 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d**2. Let f(m) be the second derivative of -m**3\/2 + 3*m. Give f(r(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112769*v**2 + v + 50311 wrt v?\nAnswer: -225538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 62*k**2 - 128*k + 130. What are the prime factors of l(54)?\nAnswer: 2, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f - 2. What is the tens digit of q(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211 - 209. Suppose 6 = -v*k - 5*l + 9, -k = -5*l + 21. Sort 0, -2, 4, k in decreasing order.\nAnswer: 4, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18505602 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - q**2 - 2. Let b be s(0). Let m(i) = 0 + 0 - i**2 + 1 - 3. What is m(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 2*h + 3. Let n(l) = 2*l**2 + 2*l - 4. Let x = -61 + 40. Let d be 33\/x - 18\/42. Calculate d*n(y) - 3*j(y).\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 874 = -142*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1217.7 + -1218. What is the third biggest value in -2\/11, 0.3, -1, -0.229, n?\nAnswer: -0.229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 13, -2, 71.\nAnswer: -7, -2, 5, 13, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 - 4 = 4*v, 3*t = -3*v + 15. Suppose -4*u + t*u - 36 = 0. Suppose l + u = 2*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18212)\/(-290) + (-1)\/(-5). Suppose -61*a + j*a - 6 = 0. Solve 0 = 4*p + a*p + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21934\/231 + -8 + 31 + (-23400)\/756.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 31*k + 30. Let j be z(-5). Suppose -3*p + 452 = -5*n, 104 = -n + p + 3*p. Let f = n + j. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*f - 5*f + 3*f)*(-2 + 3 + 2) - 2 + f + 2)*(-5*f + 0*f + 3*f)*(-2 - 2*f + 2) in the form x*f**2 + j*f + y*f**3 + m and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.75 (b) -1\/6 (c) 0.045868\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444131567.\nAnswer: 11, 40375597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 10:25 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 45*s - 90*s + 43*s. Let y(m) = 47*m. Give l(y(t)).\nAnswer: -94*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11.26*24\nAnswer: 270.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/541300 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/12)\/i*i*i\/((i\/i**(-1))\/i*i)*i*i*i*i**(2\/3)*(i*i\/(i**4\/i))\/i assuming i is positive.\nAnswer: i**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 21517*r + r**3 - 1537*r**2 - 10759*r + 1 - 10759*r to u + j*r**2 + w*r**3 + s*r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1314220 (base 5) to base 11.\nAnswer: -18745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**5 + q**4 - 1. Let n(r) = 9*r**5 + 33*r**4 + 39*r**3 - 25*r**2 - 44*r - 8. Let m(f) = -n(f) - 4*t(f). Find s such that m(s) = 0.\nAnswer: -6, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 6*h - 126. Calculate the least common multiple of h and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + ((1*sqrt(5082))\/(sqrt(6) - (sqrt(6) - ((sqrt(192) - sqrt(12))\/sqrt(2) + sqrt(6)) - sqrt(6))))**2).\nAnswer: -4482\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1651 + 0.0651. Which is the nearest to -21? (a) -1\/4 (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*r - 5*r = -1, 3*r = 2*x + 8. Let v be x*500*6250\/4. Let m be (2 + 174\/(-15))*v. What is m rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4800 and -0.07948.\nAnswer: 381.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*j. Let h(n) be the second derivative of -3\/40*n**6 - n + 5\/48*n**4 + 1\/12*n**3 + j*n**2 + 0 - 3\/40*n**5. Find o such that h(o) = 0.\nAnswer: -1, -1\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-22)*(-185)\/(-185).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/477 and -8\/8745.\nAnswer: 26235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 6. Suppose -s = -3*s + 8. Let o(i) = -i - 6. Let p(j) = s*o(j) + 3*v(j). Let f be p(5). Solve d = -f*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -59*j - 47. Let o(c) = -c**2 + 24*c + 22. Let h be o(25). Does 13 divide q(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 15. Let b = 49.2 - 48.2. What is the third smallest value in b, i, 0.09?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/29085 and 169\/1200.\nAnswer: 2326800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -32460449 divided by -65051\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-108)*(-3)\/(-1))\/(7\/126).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 1\/7 (c) 6\/17 (d) 4\/5 (e) 3\/55 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpzszzzlzzpzzsplkssp. Give prob of sequence lz.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 8) to base 11.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2634587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*sqrt(363) + sqrt(363) + (sqrt(363) - 1*sqrt(363)) + -2 + -2)*5.\nAnswer: -110*sqrt(3) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412\/11 not equal to 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2729766543.\nAnswer: 3, 7, 129988883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34948 or -34949?\nAnswer: -34949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -464?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6564\/17 - 178135\/68. Let x = i + 2989. What is the common denominator of ((-37)\/5)\/((-16)\/(-10)) and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**5\/5 + 27*c**4\/5 - 46*c**3\/5 - 3*c**2\/5 + 10*c - 24\/5 = 0. Calculate c.\nAnswer: -1, 3\/4, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106955563 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from aqyqlwxwx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/30220 and -53\/10.\nAnswer: 30220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -20403 and -4.\nAnswer: -20407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48680, 97325, 145966, 194603, 243236, 291865, 340490?\n\"Answer: -2*d**2 + 48651*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -17. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*a - 300408 = -201*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 29016.\nAnswer: 29016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 21 - 20 + 62 + 6*r**2 in the form m + l*r + s*r**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*o + 467*o + 6068 = 136*o + 120*o for o.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*y**3 + 75*y**2.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 58*i**2 + 5*i + 9. Let p(w) = 29*w**2 + 2*w + 4. Calculate 5*p(m) - 2*q(m).\nAnswer: 29*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182150164 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 857*r + 6059. What is h(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2\/7 + 6*o\/7 + 3\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 277720864?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1643 + 14.8357. Which is smaller: -52 or w?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*q**3 - 2*q**3 + 3*q**3)*(2 + 0 + 17).\nAnswer: 19*q**3 - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 2:05 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 202?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 + 318. Let m(b) = -2*b**2 + 3*b - 3. Let g be m(5). Let i = u - g. Round i to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 - 101. Sort -4, 5, p in decreasing order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**4\/24 - 2*o**3\/3 - 9*o**2. Let l be a(6). Suppose 2*b + l + 3 = 3*t, -4*t = b - 25. Put -5, 1\/2, t in descending order.\nAnswer: t, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -49707.2\nAnswer: 546779.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 160, 235, 304?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 1. Let b(d) = 5*d - 4. Let i be 14\/63*117 - 32. Let n = 4 - 3. Calculate i*z(u) + n*b(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-3))\/(60\/90) + 370\/5. What is the greatest common divisor of 5004 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -16*k**2 + 3*k + 13119. Let o(d) = -7*d**2 + d + 6559. Let y(v) = -2*i(v) + 5*o(v). Is y(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) + (3 - 3). Let c(s) = s**2 - 5*s - 32. Let w be c(13). Let v = w + -69. Solve 5*a + v - 8 = f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 26*k**3 - 21*k**3 + 0*k**2 + (-3 - 3*k + 3)*(2*k**2 - 3*k**2 - k**2) + 0*k + 0*k - k**3)*(k + 4*k - 3*k).\nAnswer: 20*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c*x**4 - 131*c*x**3 + 60*c*x + x**5 - 9*x**3 + x**2 + 14 wrt x.\nAnswer: 120*c*x - 786*c + 60*x**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*(-12)\/48)\/((140\/26)\/(-7)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600) - (sqrt(600)*-1 + sqrt(600)))\/(sqrt(8)*-1 + sqrt(8) - sqrt(2) - sqrt(2)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8380.\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*i - 44 = -36, 2*i - 3*i + 73 = 7*c - 16 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358397.9 years to millennia.\nAnswer: 358.3979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -955*n + 343097. Give r(359).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - u - 3*u - 3 + 3 - 2*u + (2 + u - 2)*(3 - 1 - 4) - u + 3*u - u + (-2*u + 2*u + 3*u)*(0 - 5 - 1).\nAnswer: -25*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 414?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (sqrt(18) - (0 + sqrt(18))) + -5)*-2)**2.\nAnswer: 3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121990 + 20421*k + 121990 to the form p + o*k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 34 = -20*p. Suppose a = -4*t - 27, -t = -3*a - 2 - 1. Let i = t + 9. Solve c + p - 2 = -f, 0 = -c - i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -15 (b) 197 (c) 2 (d) -1 (e) -40\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3045 - -3063. Calculate the highest common divisor of l and 1746.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 83*a**2 - 29*a - 4619. Determine v(84).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 391 - 26)*(-3 + 3 - 2*i).\nAnswer: -610*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 15) to base 4.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*j**3*o**2 + j**3 + 247*j**2 - 28843*j*o + 2*o**2 + 2 wrt j?\nAnswer: -618*j*o**2 + 6*j + 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -46. Let p = i + 14. Calculate the greatest common divisor of p and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2325 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 731440 less than or equal to 731451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10346*u + 45 = 10355*u. Solve -u*n = 2*y - 10, y = 5*n - 2*y - 35 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152654\/(-79248) + (-12)\/(-234)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooee when four letters picked without replacement from {t: 4, e: 2, o: 2, v: 1, w: 1}.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 250\/7. Let c = -9.289 + 8.789. What is the biggest value in d, c, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9411105ng to micrograms.\nAnswer: 0.0009411105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n**5 - 28*n**4 - 70*n**3 - 55*n - 140.\nAnswer: -80*n**3 - 336*n**2 - 420*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**6 + 245*o**3 - 77*o**2 wrt o?\nAnswer: 240*o**3 + 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2. Let k be s(1). Let v be (-2)\/4 - (-9)\/2. Suppose -c - 3*c = -v. Solve 19 - c = -5*y + k*d, -2*y - 4*d = -12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-62 + 12*l + 62)*(-1 + 3*l**3 - 5 + 4) in the form s*l**3 + u*l**2 + f + d*l**4 + b*l and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 - 3) + 5\/(20\/(-16)). Let j = 0.19 - 2.26. Let x = -2 - j. Which is the second biggest value? (a) x (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 1. Calculate the remainder when s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*f**2 + 78*f**2 + 50*f**2 - 137*f**2.\nAnswer: 106*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 20 = 7*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0)\/(-15 + 14). Sort -17, 3, f, 2 in ascending order.\nAnswer: -17, f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 920 and 1288?\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/(-16) - 2*(-3)\/2. Sort 10\/9, j, 0.3 in descending order.\nAnswer: 10\/9, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f. Let i be o(-1). Find the third derivative of -2*h**i + 9*h**2 + 0*h**3 + h**3 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389 + 108*j + 195 + 194.\nAnswer: 108*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7164660*m - 3454839*m - 7268059*m - 2421807*m.\nAnswer: -20309365*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-318)\/(-371))\/(117\/21).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -739 divided by -5?\nAnswer: 739\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by -1\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39988 - 1658163.\nAnswer: -1618175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*s**4 - 3*s**3 + 4*s - 46.\nAnswer: -216*s**2 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131720*t**2 + 6208*t - 2?\nAnswer: -263440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*8\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/9 + 15962*d\/9 - 28861000\/9 = 0.\nAnswer: -9500, 1519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -608\/5 - -122. Let l = 41 + -45. Sort l, -1\/5, o.\nAnswer: l, -1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/20040 and -59\/7925?\nAnswer: 31763400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 5)*(-13*t - 4*t + 4*t)*(-9*t - 1 + 1)*(1 - 2 - 2).\nAnswer: 351*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (970\/(-679) - 363\/(-35)) + -9.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 22*f + 3. Let r be z(11). Suppose d + d - r*u = 309, -4*u + 302 = 2*d. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4176\/(-14) + 2*4\/28. What is the units digit of (-35)\/(-45) + (-2)\/(-9) - j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-2)\/((-2)\/(-3)). Suppose -3*a + 5 = -i*a. What is the greatest common divisor of 45 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16560 (base 8) to base 5\nAnswer: -220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -935 by 187.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15026\/(-66)*(2 + 1). Let v = x - -1361\/2. Which is the fourth smallest value? (a) -4\/9 (b) -0.5 (c) v (d) -0.031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1. Let y(p) = -p + 4. Let d = 198 - 196. Calculate d*y(o) + 9*s(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30052341, 60104682, 90157023, 120209364, 150261705?\n\"Answer: 30052341*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2162896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-16)*(-497)\/994*3*(-1)\/(-54).\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*b - 1. Let w be (-6)\/3*(0 + b). Let o be 0\/(0 - (-1 + -1)). What is the closest to o in 0.2, w, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38556\/75 + 2\/(-25). Let m = 3616\/7 - z. Find r, given that 2\/7*r**2 + m + 12\/7*r = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8439 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -1*(0 - 2). Let s be ((-63)\/28)\/(120\/(-32) - -3). Solve 0 = -s*z + 6 + i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:38 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -772*a - 147. Is v(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*z**3 - 37*z**4 - 16*z**4 - 8 + 2*z**3 + 2 wrt z?\nAnswer: -212*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271920 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -19. Suppose 3*l - 9 - 6 = 0. Let g = 101\/4 + -26. Sort g, i, l in decreasing order.\nAnswer: l, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.4 (b) 3\/4 (c) -2 (d) -459 (e) 17 (f) -3 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (221 - 221 + 67*y)*(3*y + 4*y - 4*y).\nAnswer: 201*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 + 2969 = 6*a. Suppose b + n = 80 + 31, -4*b + a = -5*n. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-three fifths of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + ((-228)\/(-57))\/((-2)\/(-16)). Calculate the greatest common factor of 29 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -4 - (-21 - -12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/9612 and 151\/456.\nAnswer: 365256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-123)\/492 - (0 + (-3642)\/8)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 638.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j - 21. Let k be i(3). Let w = -19\/6 + 10\/3. Put 5, w, k, 4 in decreasing order.\nAnswer: k, 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/(4\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 9. Let a be b(9). Suppose a = 3*p + 33 - 123. Suppose 3*q - 2*q = 10. Calculate the greatest common factor of q and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a + 48. Let m(t) = t. Calculate -m(k) - w(k).\nAnswer: 2*k - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 15*f**2 + 54*f + 14. What is d(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.98 + -3. Suppose -b - p = 7 - 2, 8 = 2*b - 4*p. Put b, 5, f in ascending order.\nAnswer: b, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rebkr. What is prob of picking 1 b, 1 r, and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5 - 113*f**2 - 4 - 1 + 63*f**2. Let g(d) = 6*d. Calculate g(y(x)).\nAnswer: -300*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -2*n**3 - 1\/12*n**4 - n**2 + 0*n + 0. What is the units digit of h(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b - 10. Let o(u) = -2*u + 5. Let d(q) = 6*k(q) + 13*o(q). What is the derivative of d(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 11*k + 2. Let m be h(11). Suppose -v = -m*v - 2*q - 2, -2*q - 6 = -v. Suppose -2*g - v = -6. Solve 3*c + g*c = 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -385775655 + -0.040365.\nAnswer: -385775655.040365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*z + 66125 - 112260 = -74235 for z.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 149278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79? (a) -0.3 (b) -1\/2 (c) 69 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312063*o + 9*o**2 + o**2 - 312063*o.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1\/4, -1, 2\/33 in descending order.\nAnswer: 11, 1\/4, 2\/33, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 + 1 + 4 - (143 + (-126 - -72))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9714*s - 9719*s + 9 - 5 + 29150*s - 9718*s.\nAnswer: -s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1935, -3855, -5775, -7695?\n\"Answer: -1920*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 5*l**2 - 11*l**4 + 2*l**3 + 3*l**4 - 4*l**3 - 7*l**2 + 2*l to v*l**3 + p*l**4 + m + c*l**2 + z*l and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20984 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 + 11.4. Let r = 9 - n. Let u be (4\/18)\/(4\/6). Are r and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2544 and 7472.\nAnswer: 1188048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -25853*x**2 + 155105*x + 73. Give r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/6))\/(t**7*t))\/((t\/t**11)\/t**(-3\/2)) assuming t is positive.\nAnswer: t**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/427 and -53\/2.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y + 3. Let x(l) be the second derivative of 7*l**3\/6 - 2*l**2 + 40*l. Let h(q) = -4*v(q) - 3*x(q). Let g(k) = 3*k**2. What is h(g(u))?\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 - (-552)\/36. What is the first derivative of 8 + c**4 + 4*c**4 + c**4 - g wrt c?\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Let r = -192 + 38. Let l = 3541\/23 + r. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 2*s**2 + 84*s - 514. Calculate the remainder when 2531 is divided by n(6).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75307457.\nAnswer: 73, 1031609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 6062 = -3*x. Let t = x - -45. Does 28 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 0.3. Let x = 1115 - 7807\/7. Let t = -1.2 - -1. What is the closest to t in 0.3, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7470.395 kilograms?\nAnswer: 7470395000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*n**2 - 6123*k*n - 7*k + 103*n**2 + 29*n - 24570290 wrt n?\nAnswer: 2*k*n - 6123*k + 206*n + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1428 = -h, q - 3*h = -0*h + 476. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 364 = -10*j. Let l be 0 + 3*-1 + (12 - j). Suppose 14*m - 19*m + l = 0. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*a - 2751 = 331*a - 230*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - 5*f - 4*f + f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 5*j**2 - 5*j - 2. Let q(a) = 2*a**2 + 6*a - 5. Let v be q(-5). Suppose 0 = 3*y - v, 4*s - y - 21 = -2*y. Give b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - v**5 + (-4*v + 0*v + 3*v)*(-11*v**4 + 2*v**2 + 8*v**4 + v**4).\nAnswer: v**5 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, j: 1, f: 1, u: 3, l: 2}. What is prob of sequence huh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 91*l - 115. Calculate x(-44).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or 178\/5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11310 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-7)\/28)\/1*9*2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16107, 0.3 in descending order.\nAnswer: 16107, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -4, 2\/17, -1\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let u(y) = -6*y. Let d(b) = 21*h(b) + 4*u(b). Let t(f) = f**2 + 1. Let o be t(-2). Let x(c) = -5 - 2*c + o. What is d(x(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -932*b**4\/3 + 3189*b**2 - 13854*b. Differentiate u(t) with respect to t.\nAnswer: -7456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2 = -3*m. Let x(j) = 2*j**2 + 15*j + 2. Let c be x(-6). Let l be ((-4)\/(-70))\/(c\/80). Put 0.07, m, 4, l in decreasing order.\nAnswer: 4, 0.07, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 92762034.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {n: 10, s: 2, y: 1, v: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -118 * -40.761.\nAnswer: 4809.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6354580*d**2*f**2 + 992*d**2*f - 2*d*f**2 + 4958*d*f + 11*f**2 + 10*f wrt f?\nAnswer: -12709160*d**2 - 4*d + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 5. Let p be (-2)\/v - (-60)\/(-27). Let k be p\/7 - 74\/(-14). Solve 5*f + 2 = -g - 0, -k*g + 16 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 102*j**3 - 82*j**2 + 8*j. Let a(w) = 68*w**3 - 55*w**2 + 5*w. Let c(z) = 8*a(z) - 5*p(z). What is the third derivative of c(q) wrt q?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 64*d - 3072.\nAnswer: -(d - 96)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 214 - 644 + 213 + 217 - 52*o as f + w*o and give w.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 553 = 8*x. Suppose 2*r = 39 + x. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 594490353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9610743 + -9610632.99542. Let u = k - 110. Round u to four decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 93, 0.3, 1\/7, -17.5 in decreasing order.\nAnswer: 93, 4\/7, 0.3, 1\/7, -17.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/(i*((i*i**(-24))\/i)\/i*i)*(i\/i**(-4\/3))\/(i\/(i*i**(-2\/17))) assuming i is positive.\nAnswer: i**(1388\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.825829 nanograms to milligrams.\nAnswer: 0.000000825829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 12*a**2 - 11*a + 4. Let o be r(-11). Suppose -3*z + 2*j - 19 = 0, 32 = -7*z + 3*z + 4*j. Let m = o - z. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 11:53 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - (-7 - (1 + -2))) + 8. Solve 4*b - 4*t = -q, 4*b + 8 = -2*t - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 32*v - 1. Let a be m(-3). Let j = -56 - a. Suppose 0 = r - f - 15, -4*r - 2*f + 37 = -j. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 903562, 3614250, 8132068, 14457016, 22589094, 32528302, 44274640?\nAnswer: 57828108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + r - 20. Let f be ((-76)\/10)\/((-1)\/(-10)). Does 19 divide 20\/(-4)*f\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = k - 755, -83*u + 80*u + k = -1135. What is the highest common factor of 486 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/(-5) + 0 + 1. What is the third biggest value in -6, h, 1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 10*j - 57*j)*(4*j - j - 2*j) + (-j**2 + 2*j - 2*j**2 + j**2)*(0 + 1 - 3).\nAnswer: -57*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) + 0)**2 - (-3 + (sqrt(10)\/sqrt(2))**2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14676066557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2149*-2.\nAnswer: -4298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a*o**2 + 28*a*q**2 - a*q - 1391*o**2*q**2 + 129*o*q + q wrt o.\nAnswer: 12*a - 2782*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13702\/238 - -2*2\/(-7). What is the greatest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40468 + 40468.3. Let g be (1\/(-2))\/(46\/(-51)). Let z = g - -16\/23. What is the smallest value in -0.5, z, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 21 - 14. Let i = 5 - 11. Let l(p) = -p**2 - 6*p + 1. Let c(m) = 13 - m**2 - 11*m - 8 - 4 + 4*m. What is i*c(j) + k*l(j)?\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130.1 + -23.6. Let h = -154 - y. What is the smallest value in 1, 4\/3, -4\/7, h?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1734\/18443 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4\/5, -1\/3, -2\/5, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let j(h) = -14238*h. Determine j(a(p)).\nAnswer: 28476*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 6*k**2 + 6*k + 9. Let h be d(7). Let r(c) = c**3 - 3*c**2 + 2*c - 2. Let z be r(2). Let o be ((-8)\/h)\/(1\/z). Solve 0 = 5*y + o + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 64677380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2268 and -89\/540.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7619658 greater than or equal to -7619654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*q - 3*i, 5*q - i - 10 + 0 = 0. Suppose 7*f - 8*f + 5 = 0. Is 10 a factor of ((-6)\/f)\/(q\/(-90))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 972*w. Let x(d) = -487*d. Determine 2*h(q) + 5*x(q).\nAnswer: -491*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3780.788ug to nanograms.\nAnswer: 3780788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6907877\/3 or -2302625?\nAnswer: -2302625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 - 5*d**2 + 3*d - 7. Let i(k) = k**3 + 2*k**2 - k + 3. Let w(j) = -2*h(j) - 5*i(j). Let x(b) = b**3 + 2*b + 2. Determine -2*w(p) - x(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y + 21*y + 5*c - 58 = 0, 5*y + 9 - 27 = -3*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q**2 + 11*q - 5. Let m(c) = 24*c**2 + 16*c - 7. Determine -7*i(l) + 5*m(l).\nAnswer: 8*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1780, 3557, 5334, 7111?\n\"Answer: 1777*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 18*l**3 + 1\/3*l**6 + 25\/2*l**4 + 18\/5*l**5 + 50 + 10*l**2 + 0*l. Factor k(h).\nAnswer: 2*h*(h + 1)**2*(h + 2)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:28 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2 + 7. Let x = t - -3. Suppose w - 2 = 4*c - w, x = 5*c - 2*w. Solve -2 - c = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + s**2 - 152. Suppose 2*n + k = -3*k - 20, 4*n - 15 = 3*k. Let u be l(n). Let b = u - -79. Round b to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(35)\/sqrt(63) + sqrt(5) + -6*(sqrt(5)*-2)**2) + 5 - 2*(2*(sqrt(320) - (0 + sqrt(320)*1)))**2.\nAnswer: -4*sqrt(5)\/3 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10}. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2892.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - (-5 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 2*h + 1. Let i(y) = -y**3 - y**2 - y - 1. Let v(n) = -4*i(n) - q(n). Give v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -m - 856, 5*f + m + 653 = -775. Let y = f + 287. Put y, 1\/2, -0.1, -2\/3 in decreasing order.\nAnswer: y, 1\/2, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 444 + 3952 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(2057) - -2*sqrt(2057))*3 + -1 - (sqrt(2057) + (sqrt(2057) + 1 + sqrt(2057) + 3 - sqrt(2057)) + -3)))**2*-2.\nAnswer: -201586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -38. Let p(i) = i**3 + 3*i**2 - 2*i - 4. Let m be p(f). Solve 34\/3*v**4 + 14*v**3 + 0 + 10\/3*v**5 + 22\/3*v**m + 4\/3*v = 0 for v.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 706*i**2 + 5617*i - 107. What is u(-8)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5 - 283*x**4\/2 - 10059*x**3\/2 - 12197*x**2\/2 - 2425*x\/2 = 0?\nAnswer: -25, -1, -1\/4, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3218085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 28*a**2 + 2*a - 10. Let z(g) = 75*g**2 + 5*g - 29. Let w(r) = 8*k(r) - 3*z(r). Let m = -1 - -1. Determine w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, w: 7}. What is prob of picking 2 w?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1356.844668 + 1165.84441. Let c = 191 + y. What is c rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, x: 3, y: 4}. Give prob of picking 4 e.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4686675475 to 2 dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50965332 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -19. What is the highest common factor of v and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1099, -3119, -6219, -10399, -15659, -21999?\nAnswer: -29419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -0.213.\nAnswer: -1.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5420770, 5420684, 5420534, 5420314, 5420018, 5419640, 5419174?\n\"Answer: -d**3 - 26*d**2 - d + 5420798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.928 + -3.928. Which is the nearest to 115\/6? (a) 5 (b) h (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*s + 53, -3 - 2 = q. Let i(w) = 7 - s*w - 37*w + 18*w. What is the tens digit of i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 - 4*d**2 + 4*d + 1. Let r be f(3). Let v = r - 59. Which is the nearest to 0.3? (a) -0.5 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 28, -2, 49 in descending order.\nAnswer: 49, 28, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -271015822 - -0.1634507\nAnswer: -271015821.8365493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 234127 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -225 - -352. Let l = p - 89. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -195*t - 2076. Determine r(-11).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10)*4)\/((-280)\/(-100))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 8 - -6) + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -126858.074 to the nearest ten.\nAnswer: -126860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8688.589 litres?\nAnswer: 8688589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2667357775 to the nearest integer?\nAnswer: 51646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2141 - -513. Let s = o + 9697. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 5, b: 1, m: 1, n: 2, g: 2}. Give prob of picking 2 n and 1 b.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4628 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 0)*(1 - 1 - 2)*(2 + 3 - 4)*(-4*y + 12*y - 2*y).\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.86, 2, -2.\nAnswer: -2, 0.5, 0.86, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 - -170.93. What is the nearest to 2\/7 in 0.3, c, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3959 = 97*w - 1103 + 2188 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + k + 5. Let d(t) = -4*t**3 - 3*t**2 + 3*t + 13. What is 2*d(q) - 5*y(q)?\nAnswer: 2*q**3 - 6*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 - 6*d + 6. Let g(s) = 6*s**2 + 7*s - 7. Let f(k) = -6*g(k) - 7*o(k). Let q(x) = 20*x. Give f(q(m)).\nAnswer: -400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 22 = -2*c, -6*v - 5*c = -9*v + 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.3, -17372 in decreasing order.\nAnswer: 0.3, -0.3, -17372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -25 + c**2 + 88 + c**3 - 41 - 23 + 8*c**3. Let o(x) = -x**3 - x**2 + 1. Let w be o(1). What is k(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 2*z**2 + 2*z - 3. Let m be (-7)\/(21\/(-9)) - 1. Give s(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 32940*y + 32936.\nAnswer: 4*(y - 8234)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-9 - 4) - (3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -253 + 26?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -19. What is the remainder when (4 - (-3 + 3))*30\/4 is divided by ((-11)\/22)\/(1\/z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**5\/20 - q**4\/6 - q**3\/6 - q**2\/2 + 6*q + 3. Let f(m) be the first derivative of g(m). Let h = 2 - 0. Calculate f(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.636 + -2201.936. Let i = 1974 + f. Let b = -223 - i. Round b to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-6)\/8*-4. Suppose 3*s = -x + 7. What is the derivative of -7*g**2 + 18 + 15*g**2 + s wrt g?\nAnswer: 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:52 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111000111110101 - 10?\nAnswer: -11110111000111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 4:18 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/(k*k*k*k**(4\/5)))\/(k\/(k\/(k\/((k**0*k)\/k)))*k)**15 assuming k is positive.\nAnswer: k**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(1\/17)*w)\/(w**(1\/16)\/w))\/(w**(10\/7)\/w**(7\/3)) assuming w is positive.\nAnswer: w**(27995\/5712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 42 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 0*k - 4*k = -47 - 44, -4*t = -5*k + 80 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i - 222 = 0. Let x = i - -224\/3. What is the third biggest value in -1, 0, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2, 1\/3, -1.3, 74 in decreasing order.\nAnswer: 74, 2, 1\/3, 2\/9, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0.17, -1\/2.\nAnswer: -30, -1\/2, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -32229 divided by 32229?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*c = 13, 2*t - 30*c - 63 = -3*t - 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6519465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agaraasrs. What is prob of sequence rrg?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5 = 59*p - 60*p, 0 = -2*r - p - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 4) in base 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2 - 2)*(-i + 5*i - i) + 2*i**2 + 2*i**2 - 2*i**2 + (-3*i + i + 0*i)*(i + i + 0*i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, 26, 0, -48, -124, -234, -384, -580?\n\"Answer: -v**3 - 2*v**2 + 3*v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 17*u**2 + 47*u + 6. Let r(o) = 6*o**2 + 16*o + 2. What is -8*r(v) + 3*z(v)?\nAnswer: 3*v**2 + 13*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8555, 67007, 225217, 533063, 1040423, 1797175, 2853197, 4258367?\nAnswer: 6062563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6391.9233ns in weeks?\nAnswer: 0.00000000001056865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1356 divided by -1?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*z + 76*z - 1660 = -68*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71502 + 71579.142. Let w = -0.142 + s. Let f = w - 56.5. What is f rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/232 and -1\/3886.\nAnswer: 15544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let b = -44 + 25. Let y = b - -96\/5. Which is greater: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*y - 304 = 3*d, 0 = 4*d - 2*y - 412. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 61*y + 4328. Give g(-73).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-2))\/((-3156)\/(-7364)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by 5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23786 is divided by 109?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((((y\/(y\/y**(-1\/25)*y*y))\/y*y*y*y)\/y)\/y*y)\/y*y))\/(y*y**(2\/19)*y)*y**(-13)*y*(y*y*(y**12*y)\/y)\/y assuming y is positive.\nAnswer: y**(444\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, q: 7, l: 3}. Give prob of sequence lul.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -258282*s. Let h(z) = -302*z. Give h(p(f)).\nAnswer: 78001164*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39953*w - 39965*w = -79914*w - 60 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 - 4236*k - 36504135 = 0. What is k?\nAnswer: -2853, 4265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 44. Let z be n(3). Solve -z*g = -15*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 67 = 20. Sort -3, -5, m.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n**3 - 4*n**2 - 2*n**4 - 8*n**2 - 2*n**4 + 10*n**3 = 0. Calculate n.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2766, -2755, -2670, -2475, -2134, -1611?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94693 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2938 - -2?\nAnswer: -2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i**3\/19 - 2020*i**2\/19 - 1474*i\/19 + 3480\/19 = 0 for i.\nAnswer: -12\/7, 1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((35\/14)\/(-5))\/(1\/44). Let f = -13 - a. Calculate the smallest common multiple of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 257, 5, 2.3, -22, -0.3, -0.4?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110 + -11?\nAnswer: -10001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -831b18 (base 13) to base 6.\nAnswer: -145331052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -116*p**2 - 18315*p + 2035. Give m(-158).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 21*n - 34. Let l be p(-29). Let u = -1388\/7 + l. Let r = 0.7 + 2.3. Put r, -5, 1\/2, u in decreasing order.\nAnswer: r, 1\/2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((((l**(-1\/3)\/l)\/l*l*l)\/l*l)\/l*l))**(4\/23)*l\/(l\/l**2)*l**(-3)*(l**(-1\/2)*l)**(-1)\/((l\/((l**9\/l)\/l))\/(l**(-2\/3)\/l*l)) assuming l is positive.\nAnswer: l**(187\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 11, 5.61, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqy when three letters picked without replacement from {f: 1, h: 1, u: 1, q: 1, v: 2, y: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 224278, 0.02?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**3 + p. Suppose -w = -4*w - 3. Let o be i(w). Does 14 divide (6\/o)\/(12\/(-208))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -673*d - 185031. What is i(-275)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -49) + (1 - (1 + -3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 10*h - 3. Let v = 170 - 180. Calculate n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + h - 4*h + (-2*h - 3 + 3)*(1 + 4 - 3) - 4*h + 3824 - 3824)*(0*h**2 + 5*h**2 - 4*h**2) in the form n + l*h**2 + o*h + a*h**3 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 936*i + 1779 + 25365 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*n - 3*v - 792, 0 = 5*n + v - 1290. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 8*h + 60 = 4*y, 0 = 2*y - h - 30. Solve -l + 6*l - y = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 4*i - 188. Let m = i - 85. Calculate the remainder when m is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(18)\/(sqrt(42)\/sqrt(7)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b. What are the prime factors of (-6 - 24)*(b - 1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**2 + 0*w**3 + 0*w**3 - 39*w**4 + 35*w**4 wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9 + 1 = 0. Suppose 5*u + 32 + 78 = 0. Let t = u + 32. What is the highest common divisor of i and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -173770?\nAnswer: -173765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.887777 grams?\nAnswer: 2887.777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose -2*x - 79 = -3*a - 2*a, 2*x + 62 = w*a. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3572 (base 9) to base 10.\nAnswer: -2657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*i - 26, 2 = -i - 2. Suppose -3*c + 14 = -5*r, -4*c + w*r = 2*r - 17. Suppose c*u = -3*v, 4*u + 3 = -0*v - v. Which is bigger: -5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 208 = -k. Does 22 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.814633 + -1.0146382. Let s = -0.224 + 0.024. Let y = c - s. What is y rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93131.11 to the nearest 100.\nAnswer: 93100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000864478 to seven dps.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*f - 18170 - 10833 = 0 for f.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7*p = 0, 0 = 193*u - 188*u - 5*p - 90. Solve -1116*w + 1123*w = -u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -23\/201 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 48770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -59 - ((-44 - 21 - -47) + 40)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**3 - 231*i**2 - 471*i - 237 = 0.\nAnswer: -1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012785726 to 7 decimal places.\nAnswer: -0.0001279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2974939?\nAnswer: 11, 229, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(272))*5 - (sqrt(272)*2 + -1 - sqrt(272))) + 5 + (-1*sqrt(272) + sqrt(272) - sqrt(272) - sqrt(272)) + sqrt(272) + 1 + 2)**2.\nAnswer: 96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 5*r - 2*r - 0*r - 390*y + 1100, 3*y + 47 = -4*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 - 61. Let k = -89.151 + 4.761. Let r = t + k. Round r to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7497 and 663?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 764617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 - 150. What are the prime factors of m + 2\/((-8)\/(-620))?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jovj when four letters picked without replacement from {j: 2, o: 1, v: 4, e: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 38*g**3 - 456*g**2 - 1304*g - 1120.\nAnswer: 2*(g - 28)*(g + 2)**2*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 15*g + 3*g = 0. Sort g, 2, -2, 1 in increasing order.\nAnswer: -2, g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8984.388kg to nanograms.\nAnswer: 8984388000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 21*y**2 - 2*y + 18. Calculate the lowest common multiple of k(-21) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*m**3 - 9*m**2 + 16*m + 235063 wrt m.\nAnswer: 54*m**2 - 18*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**4 - 15*o**3 - 2193*o**2.\nAnswer: 96*o - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -341\/56 + 51\/8. Let y(j) = -j. Let f be y(-3). Let v = -1 + 1.5. What is the closest to f in l, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 3*n - 11*n + 4*n + 0*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.2 (c) 244 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 53. Let h = r - -25. Let f(b) = -b**3 + 3*b**2 - 3*b - 7. Let j be f(h). Calculate the highest common divisor of 76 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07076 - -0.5.\nAnswer: 0.57076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + sqrt(468) + (sqrt(468) + -1)*-3))**2.\nAnswer: -3072*sqrt(13) + 30976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2, -4 in ascending order.\nAnswer: -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 18 + -2 + 30 + (-77 - -48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 8*d**2 - 7*d + 10. Give k(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 8) + 1 - -23\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + p + 5*p in the form v*p + f and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**5 + 3*t**5 + 5*t**5 + (-1 + t + 1)*(3*t - 3*t + 3*t**4).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide (-10)\/6 - 1367620\/(-366)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7267091?\nAnswer: 13, 431, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 - 4*x**2 + 10*x + 1. Let k(d) = 4*d**3 - 5*d**2 + 11*d + 1. Let h(l) = -4*k(l) + 5*m(l). What is the tens digit of h(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/70 and -93\/110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - (-29)\/(580\/152). Which is the smallest value? (a) h (b) -0.2 (c) 677 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1398307 to the nearest ten thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 256*c + 1054. What is m(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(459\/1134) + 6\/3\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1053, -361, 2075, 6255?\nAnswer: 12179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/35133 and 79\/105.\nAnswer: 175665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134905\/7 or 0.046?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjkqtzjqz. Give prob of sequence zqk.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from {b: 2, t: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -7 (c) -5\/9 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 7*v + 55*v + 4*v. Let c(o) = -3*o - 248. Let j(y) = y + 62. Let g(x) = c(x) + 4*j(x). Give g(w(f)).\nAnswer: 4*f**2 + 66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {x: 2, w: 18}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 9 = -2*q, 0 = -4*n + 13 - 1. Let j(i) = 11*i - 20. Let x(w) = 4*w - 7. Calculate q*j(f) - 8*x(f).\nAnswer: f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -10*w**2 - w - 2. Let g(h) = -41*h + 619. Let m be g(15). Let f(y) = 10*y**2 + y + 2. Determine m*k(s) + 3*f(s).\nAnswer: -10*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1239395?\nAnswer: 5, 247879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*p - 11*p - p + (0 + 0 - 1)*(-3*p + 3*p - 4*p) - 5*p + p + 3*p + (2 - 2 + 1)*(5*p - 4*p + p).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -171710 + 85?\nAnswer: -171614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 8. Let o be u(0). Suppose 4*b = 5*l + 3*b + 2, 4*b - o = 0. Suppose 0 = -q, -3*n - 182*q + 186*q + 3 = 0. Is n at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (2\/3)\/(6\/(-45)). Sort -7, 3, q.\nAnswer: -7, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}