diff --git "a/data/dm_maths/full_data_2/10624_11255.jsonl" "b/data/dm_maths/full_data_2/10624_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10624_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y(m) = 40*m**3 - 3*m**2 + 2*m + 3012. Let z be y(0). What is the greatest common divisor of 36 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -2\/15*h**5 + 0*h**2 - 2\/9*h**3 - 1\/3*h**4 - 5 + 0*h. Determine p so that q(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.03 + -0.03. Let t = -11.9 + 12. What is the third biggest value in t, -0.1, 0.5, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -395328, -790651, -1185974, -1581297, -1976620, -2371943?\n\"Answer: -395323*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, -21, -42, -63, -84, -105?\n\"Answer: -21*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11686769 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5222 and 168.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 54*d - 120.\nAnswer: 3*(d - 2)*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23720, -47464, -71208, -94952?\n\"Answer: -23744*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 47*l**2 - 31*l - 1. Let s(r) = -46*r**2 + 1 - 4*r + 25*r + 11*r. Let x(k) = 3*h(k) + 2*s(k). What is the second derivative of x(d) wrt d?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32169815, -32169811, -32169797, -32169767, -32169715, -32169635?\nAnswer: -32169521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/8)\/((-7)\/4 - -1). Suppose 11 = -m*d + 2*c + c, -3*d = 5*c + 45. Let f be (-2)\/d - (-29)\/5. What is the greatest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w + 1. Let f be x(-1). Calculate the highest common factor of 11 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 812*b - 161700.\nAnswer: -(b + 350)*(b + 462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -287.47 - -289. Let o = -0.4 - -2. Let j = o - y. What is j rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364292390, 728584795, 1092877212, 1457169647, 1821462106, 2185754595?\nAnswer: 2550047120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -209, -419, -713?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 30187788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 27. Let j(n) = -n**3 - 9*n**2 - 8*n + 2. Let o be j(-8). Suppose 2*p - 2 = -4. Sort c, o, p in increasing order.\nAnswer: p, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 6*l - 3. Let d be 14\/(-4)*(2 - 0). Let h be w(d). Solve -n - n = -h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*u**6 - 324*u**4 - u**3 + 3*u**2 + 40*u - 32.\nAnswer: 600*u**3 - 7776*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -10. Let a = -2 - i. Differentiate -6*u**4 + 6 + 3*u**a + u**4 - 3 wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45714195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 16*y + 32*y + 1 + 9 - 13. Let w be (-2)\/(-8) + 11\/4. What is the tens digit of l(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*g - 2*q, 0 = 5*g - q + 14 - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -825.\nAnswer: -1\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d**(4\/7)*d)\/d))**(-4)*d**(-13\/3)*(((d*d**(-2\/45))\/d)\/d)\/d assuming d is positive.\nAnswer: d**(-2549\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88465 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1153 + -1151. Which is the nearest to -2? (a) w (b) -0.2 (c) 3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 1878*y - 3744.\nAnswer: -3*(y + 2)*(y + 624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4619?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -25*(1 + 16\/(-4)). Suppose -2*c = 3*c - i. Solve 3 = -r, -b - 5*r - c = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1647 + 0.02471. What is f rounded to three dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 12. Which is the closest to d? (a) -2\/3 (b) -0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**6\/144 + 7*k**5\/120 + k**4\/4 - 3*k**2. Let f(a) be the second derivative of c(a). What is the derivative of f(v) wrt v?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -61*q**9\/72 + q**8\/168 - q**7\/105 - 43*q**5\/20 + 5*q**3\/6 - 2*q**2 - 2843. What is the third derivative of d(v) wrt v?\nAnswer: -51240*v**3 + 120*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - q = 380, 0 = 3*x + 5*q - 8*q - 216. Let v = 77 - x. Solve -4*a = -v*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2 + sqrt(931) + sqrt(931))*-6*-6 + -2 + -4)**2.\nAnswer: 66528*sqrt(19) + 4830660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2452.4594 + -2455. What is i rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + (sqrt(125) + -1)**2) + ((1 + sqrt(605) - sqrt(605) - sqrt(605))*2*-4)**2)*6.\nAnswer: -8088*sqrt(5) + 227988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -18*u - 3. Let r(p) = 112*p - 215. Let m(w) = -39*w + 76. Let k(y) = 17*m(y) + 6*r(y). Determine 5*k(d) + 3*n(d).\nAnswer: -9*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 107666 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5*c - 0*y + 17, 0 = 4*c + y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(1584) + -3)**2*1.\nAnswer: -384*sqrt(11) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 221985 and -0.03.\nAnswer: -6659.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*v + 6033, 8 = -2*v - 2. Let p = -5977\/4 - c. Find the common denominator of 19\/10 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -35. Let h(c) be the first derivative of 0*c + 4 - 2\/3*c**3 + 1\/2*c**2. What is h(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by 41316.\nAnswer: 89\/41316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 871464 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(960) - (sqrt(960) - -2*sqrt(960)))\/(sqrt(3) + (sqrt(144)\/sqrt(6))\/sqrt(8)))**2)*-1.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 3*s. Suppose -4 - 11 = -5*o. Determine u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-66)\/(-24))*(-66)\/36.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from eqcctchhtech?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 + 0\/3)*843\/6463 - -7?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -2455?\nAnswer: 44190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 - 2 - 17) - -2\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/3*(-12)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 9 = -3*k + 4*j, -3*k - 5*j = 18. Let t be (k*(-1 + 1))\/1. Sort 4, 1, t in descending order.\nAnswer: 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 48. Let m = 2 - l. What is the highest common factor of m and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-7056)\/(-228) - 1\/19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219450 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -4*u + 1. Let k = -13 - u. Find the second derivative of k*j - j - j**4 + j**3 - j**3 wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -738130?\nAnswer: -738132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14134 (base 6) to base 9.\nAnswer: 3034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 79 = -y - l - 63, -50 = -4*y + l - 38 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -2 + -25 + (-3 - -3 - -5 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 - 2*k + 2. Let f(n) = n**3 - n**2 - n + 1. Give -2*d(h) + 4*f(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11679, 46773, 105259, 187137, 292407?\n\"Answer: 11696*f**2 + 6*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 1)*(3 - 5 + 4)*(0*z - 4*z + 5*z + (-2*z + 1 - 1)*(-104 - 6 - 19)).\nAnswer: 3626*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.6 + 5.4. Let k = -16 + o. Let x = 2.3 - k. Round x to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 4*r - 2291*r**2 + 4557*r**2 - 2264*r**2 + 141 to the form b*r**2 + x + k*r + m*r**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54be4 - 1a?\nAnswer: -54c0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Let n(i) = 13*i - 19*i + 2*i**2 - q - 2. Determine n(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Suppose 3*w = w + 8. Does 8 divide (5 + r)\/(2\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/9, -4, 3, 1\/43, -0.11 in decreasing order.\nAnswer: 3, 16\/9, 1\/43, -0.11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2. Let k(g) = -1112*g**2 + 9. Let m(u) = 43365*u**2 - 354. Let l(h) = -118*k(h) - 3*m(h). Determine l(v(s)).\nAnswer: 10089*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + v**2 + 2*v**2)*(2*v**2 - v + v)*(2*v + 3*v - 13*v).\nAnswer: 32*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z, -5*z - 20 = -l. Suppose o + l = 5*o. Let j be o + -3 - 3\/(6\/(-4)). Solve -j*f + 0 - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 12*d**2 - 7 - 7*d**2 - 9 + 16.\nAnswer: 5*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33527 or 33526?\nAnswer: 33526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 142 + 2 = -4*q, 3*q = 15. Suppose -2*h + w + 46 = 0, -h = -3*h - 4*w + 56. Calculate the smallest common multiple of z and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 w when four letters picked without replacement from {c: 4, w: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000694615635 to six decimal places.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2 and 17\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x + 22. Determine w(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 29 + (9 - 9). Let m = t + -29. Let q be (-5)\/(-2)*(-2)\/10. What is the nearest to q in m, 0.5, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/60 - d**5\/12 - d**4\/24 - 8*d**3\/3 + 4*d**2 - 32*d. Let b be g(-5). Calculate the greatest common divisor of b and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -38. Let h be 32\/a - 16\/40. Is 1 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7916 is divided by 113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 3*f**2 + 0*f**2)*(-4*f + 0*f + 2*f) + 33 + 5*f**3 - 33.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 3, -0.1, 2\/5, -265 in descending order.\nAnswer: 3, 2\/5, -0.1, -0.12, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9651684\/29 or 332818?\nAnswer: 9651684\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + 22. Suppose -5*r - l + p = 0, -4*l + 4 + 0 = 0. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126765 - -126799.0236. Let q = -34.06 - -0.06. Let b = q + i. Round b to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 162 (b) -3\/2 (c) -14368\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -243, -288, -309, -294, -231, -108?\n\"Answer: 2*u**3 - 59*u - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0691 (b) 0 (c) 3\/2 (d) 0.008 (e) -132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*(-1 + 1 + 2)*(w**2 - 6*w**2 + 2*w**2)*(-2 + 0*w + 1 + w).\nAnswer: -18*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.84 and 0.35840820723?\nAnswer: 0.48159179277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25474 is divided by 307.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 9 = 3*p - 4*t, 2*p + 6 = -3*t. Put 2, 5, p, 3 in decreasing order.\nAnswer: 5, 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - q + 48 = 193, -4*d = -5*q - 116. Solve -24*k = -d*k - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 8:32 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 7)\/5 + 4. Calculate the common denominator of (182\/(-48))\/(f\/(-9)) and 49\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtc when three letters picked without replacement from {t: 1, d: 1, c: 9}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 64 = 71. Let u(m) be the third derivative of -7\/32*m**4 + 0 + 0*m - 8*m**2 + 9\/80*m**r - 1\/32*m**6 + 1\/280*m**7 + 1\/4*m**3. Factor u(c).\nAnswer: 3*(c - 2)*(c - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**7\/945 - a**6\/135 - 2*a**5\/135 + 13*a**2. Solve s(i) = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-2 + 0 + 47 + -35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 4. Let d be m(2). Suppose 2*i + 3*i - 105 = d. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19657, 25159, 34333, 47185, 63721, 83947, 107869?\n\"Answer: z**3 + 1830*z**2 + 5*z + 17821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186154.\nAnswer: 2, 93077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -61.9766. Let x = 0.1011 + a. What is x rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.2 - -157.2. Let j = c - 124. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*l + 93*l = 0. Let m = l - -43. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/2*(-2)\/(-4). Suppose 3*h = y*h - 16. Suppose 2*r = 3*o + h, -4*r + 59 - 23 = -o. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -19*a**4 + 38*a**3 + 3*a**4 + 7*a**4 - 90*a**2 + 4*a**4 + 27*a**3 - 800*a - 640 = 0. What is a?\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -163? (a) 2\/13 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000023047819 to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let b be f + -1 + (213 - -1). Suppose 0 = -2*r + 2*z + 3*z + b, -116 = -r + 5*z. Calculate the greatest common divisor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-406)\/8 + 171\/228 + 0?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577 = 3*d - n - 1149, -4*d - 4*n = -2312. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-6)\/12*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -113?\nAnswer: 113.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -23*j**7\/5040 - j**6\/720 + j**5\/12 - 4*j**2. Let d(a) be the third derivative of y(a). Is d(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.209 + -0.23. What is b rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(162)*3)**2 - 1*sqrt(2)*3.\nAnswer: -2*sqrt(2) + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -115*r - 0*r + 610 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 6. Let s be w(5). Is 2 a factor of 5\/(-10) - s\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 25. Let z = y + 12. Solve x - z = 5*o, -2*x + 15 = 3*x - 2*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 13.78. Let y = 0.22046 - j. Round y to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-9 - (1 + -3)) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-724)\/(-32) - 3*3\/(-24). Put -1, 3, d in ascending order.\nAnswer: -1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/15 - 2392*v**3\/15 - 235996*v**2\/5 + 4322392*v\/15 - 722402\/3 = 0 for v.\nAnswer: -601, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -94, -203, -478, -1003, -1862, -3139?\n\"Answer: -14*v**3 + v**2 - 14*v - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 76. Suppose -3*v = -0*y + y - 2, -y = -v + 18. Let c = -10 - y. Solve 0*i + c*i + t = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(540) + sqrt(540) - (sqrt(60)\/(sqrt(8)\/sqrt(2)) - sqrt(15))))\/(sqrt(24)\/(sqrt(8)*3 + sqrt(8)) + sqrt(36)\/(sqrt(12) + -3*sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**4\/6 + 2*w**2. Let d(b) = -3*b. Give d(g(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 3*i**2 + 5*i - 2. Let t be (-1)\/(1\/(-4)) - 0. Let m be p(t). Let q be ((-28)\/35)\/(m\/(-10)). Solve 0 = h - 2*c + q, 0 = 2*h + 2*c - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0*d**2 + 0*d**2 + 2*d**2 - 1 + 2*d**2 - d. What are the prime factors of s(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5034.264 millilitres to litres.\nAnswer: 5.034264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.12089?\nAnswer: 0.36267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**6\/2 - 2*v**3\/3 + 63*v**2 + 2*v - 636. Find the second derivative of o(h) wrt h.\nAnswer: 60*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 9. Suppose 103 = 4*z - 153. Let p = z + -50. Calculate the least common multiple of y and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172106329?\nAnswer: 29, 5934701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 82*n + 10*n**2 - n**3 + 93*n + 8. Let y be m(-8). Suppose 0 = 15*f - 12*f - y. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2136, -1084, 684, 3180, 6416, 10404, 15156, 20684?\n\"Answer: 2*x**3 + 346*x**2 - 2484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -40799995*z**2 + 5*z - 3. Let j(y) = y**2 + y - 1. Let n(u) = c(u) - 3*j(u). Let t be n(-1). Round t to the nearest 1000000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + -140?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/2 + p**3\/6 - 51*p**2\/2 + 34*p. Differentiate l(i) with respect to i.\nAnswer: -12*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*i + 222*i = 35. Let k be ((-4)\/5)\/((-12)\/(-30)). Put 4, i, k in descending order.\nAnswer: 4, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.1 (b) 3 (c) -19.37 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2156*o**5\/5 + 908*o**3\/3 + 1472. Find the third derivative of h(y) wrt y.\nAnswer: -51744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.099586ml to litres.\nAnswer: 0.001099586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**5\/5 - 32*f**4\/5 - 24*f**3\/5 + 32*f**2 - 20*f.\nAnswer: -4*f*(f - 1)**2*(f + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1039084780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175715 - 175710. Factor 10\/7*z**4 - 2\/7*z**m + 2*z**2 - 4\/7*z - 18\/7*z**3 + 0.\nAnswer: -2*z*(z - 2)*(z - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 31971150.\nAnswer: 31971150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2380*a**2 - 3*a + 2. Let j(u) = -7120*u**2 + 8*u - 5. Calculate -3*j(m) - 8*y(m).\nAnswer: 2320*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1. Let n(a) = -2*a - 10. Let w(b) = -2*n(b) - 20*x(b). Let z(u) = 5*u**2 - 258 + 2*u**2 + 213 + 13*u**2 - 22*u**2. Give w(z(v)).\nAnswer: -8*v**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*d**6 - 9*d**2 + 10*d.\nAnswer: -12360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -61, -164, -359, -676?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/19 + 2826*m\/19 + 2824\/19 = 0. What is m?\nAnswer: -1412, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 - -93.947. Let a = 0.11 + z. Let s = a - 0.057127. What is s rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (220*64\/6400)\/((-1)\/(-10)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysjtq. Give prob of sequence tjqs.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362 divided by -3.\nAnswer: -362\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*a - 132*a = -5*u + 21603, 0 = -3*a + 4*u + 64809. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -22*r**2 - 996*r - 2790 = 0.\nAnswer: -465\/11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9*c + 5*c + 5 = 0, 0 = -3*d - c + 8. Let j = -3.41 - -3.5. What is the third biggest value in 4, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 88, 0, -5 in descending order.\nAnswer: 88, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 + 246. What is the common denominator of (-66)\/15 + (0 - 1) and (-14)\/w + (-2)\/(-182)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334076791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g - 5 = -36*g - 3*w, g + 5*w - 6 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (0 + 9 - -11) + -13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**4 + 3*w**4 + 2*w**3 + 8*w**2 + 2*w**3 + 4 - 8*w**2 in the form g*w**2 + y*w**4 + c + q*w**3 + k*w and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*k + 340, 4*k + 2*g + g = -451. Let r = -17 - k. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 161\/16, 0.4, 4, 5, -1\/5, -4?\nAnswer: 161\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 0*q**2 - q**2)*(0*q**3 + 2*q**3 - 3*q**3) + 0*q**4 + 0*q**4 + 2*q**5 + 2*q**2.\nAnswer: q**5 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 50. Suppose g + 12 = 5*g. Which is the smallest value? (a) w (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 343580 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyydyyyyyyy. Give prob of picking 4 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000607362 to five decimal places.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1201557 - -3?\nAnswer: 1201562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.1 - -1.9. Let s = m - 6. Let q = -3.3 + s. Which is the second biggest value? (a) -0.2 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28247110 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*y**2 + 6*y**2 - 27*y**2 + (-3 - 5*y + 3)*(2 - 2 + 2*y).\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/4 + 1\/4. Let p be (6\/8)\/(c\/(-16)). Differentiate -3 + 1 + 3*s + s + p with respect to s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237 and 316.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12173 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w - 398 = 4*a, 63*w + 2*a = 53*w - 100 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 12 - 6)*(2 + 0 - 7)*(2 - 2 - p) to the form s*p + x and give s.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) + (sqrt(315)*-3 + sqrt(315))*-5)\/sqrt(7))\/(3*(2*sqrt(99) + sqrt(99))\/sqrt(11)).\nAnswer: 11*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((13\/78)\/((-2)\/(-90)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -80. What is the greatest common divisor of i and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93426479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/10 - (-1026)\/10. Suppose 5*w = -k + 297. Suppose 0 = 8*j - 11*j + w. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15.3 from -384.\nAnswer: -368.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 5*w**2 + 2. Let f(a) = 2*a**3 - 5*a**2 + 3. What is -3*f(d) + 4*v(d)?\nAnswer: 2*d**3 - 5*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1411235.53152 and -19?\nAnswer: 1411254.53152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2706 and 174?\nAnswer: 78474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 7*r**6\/30 - 31*r**2\/2 - 28*r. Differentiate f(c) wrt c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 7*z - 2. Let i(f) = -3*f**3 + f**2 + f. Let q be i(-1). Suppose 2*g + q*r - 8 = 0, -7 = 5*g + 4*r - 34. Give v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + 144\/(-27). What is the nearest to 1 in q, -5\/6, 10?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*r - 176. Let a(b) = -b**2 - 29*b - 19. Let d be a(-10). Suppose 9*v + d = 18*v. Calculate the remainder when r is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggogootgoogggtgogpgo. Give prob of sequence pg.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d17 + 1a?\nAnswer: -3cdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2694.00000277 - 2694. Round q to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 10.396573 rounded to 2 decimal places?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40508672 divided by 79?\nAnswer: 512768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25551504 (base 8) to base 14.\nAnswer: -a81976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:01 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 16, 5, -8, -23, -40, -59?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 4*q + 5. Let g(c) be the second derivative of -c**5\/20 + c**4\/12 - c**3\/6 + c**2\/2 + 632*c - 2. What is 4*g(d) - k(d)?\nAnswer: -4*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 s when four letters picked without replacement from {s: 6, k: 3, i: 8}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/2 - (85\/(-255))\/(1\/36). Let b(q) be the first derivative of 0*q**2 - 4 + 2\/15*q**5 + 0*q**3 + 0*q - 1\/18*q**w + 0*q**4. Let b(n) = 0. What is n?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 15) in base 14?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*c - 76, -114 = -4*t + 3*c + 144. What is the first derivative of -58*b**2 + 13 - 57*b**2 + 13 + t*b**2 wrt b?\nAnswer: -98*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 5*x - 4. Suppose -4*h - 4 = j, 3*h = -4*j + 4*h + 1. Suppose -28 = -j*a - 7*a. Determine y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 4*q**2 + 1. Let r(a) = a**3 + 3*a**2 - 2*a - 2. Let f be r(-3). Give d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a = -2467158. Let u = -1077614 - a. What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 10110110001000000?\nAnswer: -10110110000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2.7. What is the closest to 2 in n, -5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1749, -1746, -1743, -1740, -1737?\n\"Answer: 3*v - 1752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8437, 13, -3, 0, 2 in decreasing order.\nAnswer: 13, 2, 0, -2, -3, -8437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 9:07 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3\/2 + 53565*u**2 + 642625*u\/2 + 267750 = 0.\nAnswer: -21420, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 28*o**2 + 17*o - 56. List the prime factors of s(-25).\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -1415*l**4\/4 - l**3\/3 - 254*l + 144. What is the third derivative of t(c) wrt c?\nAnswer: -8490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30205.1 + -101.535.\nAnswer: 30103.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -115*o - 78. Let n be a(-6). Calculate the common denominator of 30\/10 - 591\/n*3 and -81\/22.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(6)*2) + -1*sqrt(8))*-5.\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 6 + 6 + 2*d**2 + 805*d.\nAnswer: 3*d**2 + 805*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*z - 12 = 0, 2565*z - 22 = 2*g + 2559*z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*x**2\/4 + 1713*x\/4 + 819\/2.\nAnswer: 3*(x + 1)*(25*x + 546)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2. Let l(p) = -374*p. Give l(u(a)).\nAnswer: -374*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(-8 + 8 + 4*l + (2*l - 4*l - 3*l)*(2 + 0 + 0)) as d + s*l and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 12*b + 309 - 347 = 0, -5 = -d + b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*t + 19, 1 = -t - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 16. Suppose 4*w - 2*s - g = 2*w, 4*w = -s + 24. Differentiate -7*v - 2 + v**2 + w*v - 4*v**2 wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 = 3*s, 6*i - 46 = 3*i + 5*s. Suppose -3 - i = -5*o. Suppose -o*a + 109 = -3*a. Round a to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/35 + 15816\/(-14). What is r rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w + 2*t + 4 = 0, 3*t - 2 = 2*w. Let d(n) = -n**3 - 4*n**2. Suppose 4*l - 8 = 0, -2*l = 2*i + 2*i + 12. Let g be d(i). Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -2 - 235\/(-2115))*21. Let -2 + t*y**5 + 32*y**3 - 44\/3*y**4 - 94\/3*y**2 + 41\/3*y = 0. Calculate y.\nAnswer: 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414446642 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(2\/5)\/(1\/5). Suppose 118 - 70 = p*d. Solve -f = -d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -0.2 (c) -1\/2 (d) -0.733 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.7\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l - 3. Let v be k(-6). Let n = v - -29. What is the tens digit of ((-8)\/(-4))\/((-2)\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.786 - 0.142. What is i rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 8 = 22*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 17 - 6 = -4*q, 13*q - 8 = z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + p**4 - 2*p**5 - 1 - p**5 + 1 + (-11 - 26 + 8)*(-p**5 + 6*p**5 - 4*p**5) + p**3 + p**5 - p**3 - 4*p**5 - 37*p + 37*p - p**5 + 1 - 1.\nAnswer: -36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, z: 6, c: 1, m: 2, i: 3, e: 2}. What is prob of picking 1 c, 1 e, 1 d, and 1 z?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + l**2 - 2*l**2 + l**2 in the form y*l + k + o*l**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 less than -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159.4 + 158. Which is the closest to 0.1? (a) r (b) -0.5 (c) 1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4106605 rounded to two dps?\nAnswer: -3.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.33 + 0.19. Let y = a + 0.24. Let j = 2\/41 + 113\/205. Which is smaller: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3643 (base 11) to base 2\nAnswer: -1001010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 110 - 122 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47*-4*(-1*(-15)\/(-28) - 60\/(-210)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(16\/48*-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - ((-16)\/4 - 624). Suppose 530 = 8*d - f. Let n(v) = -v + 29. Let g be n(0). Calculate the highest common divisor of d and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 43*r**2 + 9*r - 9. Let d be h(-4). Let u = d + -174. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-15)*(-13608)\/30996)\/(6\/10)\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (3 - -15 - 35).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28553868 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*d**2*o**2 + 3*d**2*o - 286*d**2 - 39*d*o**5 - d*o wrt o.\nAnswer: -142*d**2 - 780*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(6\/(-352)) - 2. Suppose -3*j = -2*j - 309. Let n = d + j. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 12:05 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 701506 and 201682975?\nAnswer: 403365950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299206.9cm to millimeters.\nAnswer: 2992069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5537 + 5645. Solve 5*s + 138 = u for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 19 = 7. Solve -b**2 - f*b**2 - 2*b + 6*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2357981717\/1408 - 1674703. What is the common denominator of 19\/528 and r?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*w + 28 = -27, 2*s + 8 = -4*w. Let k = 23 - s. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-10)*((-64)\/14 + 12 + -8). Suppose -10 = -n - 2*t, -5 = 3*n - 5*t - 2. Put n, 6, -0.5, b in decreasing order.\nAnswer: 6, n, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25266240 - 539.\nAnswer: -25266779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3 - 2*x**3 - 249*x**2 + 365 + 7*x**3 - 519*x + 107 + 293 = 0?\nAnswer: -3, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35961367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434 is divided by 478?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37502.\nAnswer: 2, 17, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -184*v + 3927. Let o be y(21). Solve 2*j = -7*j + o for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5 + 396\/(-90)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30182970, -30182971, -30182972?\nAnswer: -30182973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k - 10. Let z(p) = -3*p - 10. Determine -4*r(j) + 5*z(j).\nAnswer: j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7447520 by 1046.\nAnswer: -7120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:42 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1222 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 9*z - 14*z = 101, 4*d = -5*z + 91. What is the remainder when 2505\/30 - 2\/4 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 197 + -199 + 14\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/12 and (-1)\/4 + 96\/(-45).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 548*b**4 - 1912*b.\nAnswer: 6576*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 459.275 from -402.\nAnswer: -861.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 19. Let q(w) = -w**3 - 12*w**2 - 9*w + 2. Let t be q(u). Let p = 24 + t. What is the biggest value in p, 0, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 208428?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439856.6 kilometers to meters.\nAnswer: 439856600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-10)\/20.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/3)\/(w*w*w**(-2\/21)\/w)*((w*w\/(w\/(w*w**6\/w*w))*w*w)\/w)\/(((((w*w**1)\/w)\/w)\/w*w*w)\/w) assuming w is positive.\nAnswer: w**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 9*i - 6. Let s be l(-7). Suppose 2*d - g = s, d - 7 = -0*d + 3*g. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 greater than or equal to -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + sqrt(243)*6)\/(-6*sqrt(144)) - (5 + sqrt(36)\/sqrt(3) + -4)) + 4.\nAnswer: -67*sqrt(3)\/24 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m - 2*m)*(-2 + 0 + 1) + (4*m - 4*m + 3*m)*(-372 + 43 - 52).\nAnswer: -1140*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 289*d - 289*d - 2)*(-1 + 1 + 2)*((1 + 1 + 0)*(1 + 1 - 3) - 1 + 4 - 4).\nAnswer: -12*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.26741 millilitres in litres?\nAnswer: 0.07226741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + 26. Let d = j + 1. What is the remainder when 218 is divided by d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182805 divided by -3.\nAnswer: -60935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -57*v**5 - 3*v**3 - 5*v - 30. Let h(m) = m**5 + m**3 + m + 1. Let u(i) = -3*h(i) - r(i). Find the second derivative of u(p) wrt p.\nAnswer: 1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 381*w**3 - 11*w**2 + 8*w + 16. Let g be k(10). Let b be 2 + g + 2 + 0. Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(11) + 1*sqrt(11)*4.\nAnswer: -5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 12408812?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*l + 1)*(-3 + 2 + 6)*(-2 + 4 - 4)*(4*l**2 - 2*l**2 + 0*l**2).\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2 - 2 - 2*d. Let v(i) be the third derivative of 1\/24*i**4 + 0 + 0*i + 0*i**3 + 2*i**2. Calculate v(b(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 3.75?\nAnswer: -56.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001571162931 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-42) + 101\/303?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j - 7*b + 418 = 635, 14 = 2*j - 5*b for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from mymyhimhhyiyiymmymmy.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/30 and 47\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 85. Let r be t + 30\/75 + (-94)\/(-15). Let m = 1 + -0.95. Which is the biggest value? (a) m (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004949336 to seven decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8416 + 8412. Put -7, 21, 3, -1, u in descending order.\nAnswer: 21, 3, -1, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-2)\/(-4)*2. Suppose -3*d = -4*d + 2. Let m = d + o. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, e: 7, p: 1, t: 1, k: 1}. Give prob of sequence xxek.\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 0)\/(((-7)\/71)\/7). Suppose -x*i = -65*i. Solve 0 = 2*y - g - i*g, -5*g = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13893*d + 27745*d + 10*d**2 - 13901*d + 2 - 2.\nAnswer: 10*d**2 - 49*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -99*j + 635. Let l be h(6). Solve -l - 47 = 22*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, n: 4, i: 4, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 56, -76 in ascending order.\nAnswer: -76, 8, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 250.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1271463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 3, -23 in increasing order.\nAnswer: -23, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, u: 6}. What is prob of picking 1 s and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 683170160 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*k - 32, 27*k + 4*q = 23*k - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 1, d: 1}. Give prob of sequence oo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j + 2*l + 10, 0 = -2*j + l + 5. Suppose -3*v - 5*f = -95, j = -0*v - 3*v - 3*f + 93. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4)*(83 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 16 = 0, -3*n - 1 = -4*c + 1. Let p be -2*(-7 - n)*14. Calculate the highest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -858211*b - 15447806. Determine h(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2497014, -1\/4, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 l when three letters picked without replacement from lkllkllvllklk?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q + 522 = -138. Suppose 2*l - 5 = 7*l. Is 5829*((-8)\/q - l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -102.5, -5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 585.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 4*k**2 - 5*k - 4. Suppose 0 = 4*f + 3*v + 13, 3*f + 3*v = 4*f - 8. Calculate the least common multiple of g(-3) and f + (-6)\/3 - -17.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1346003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -9*i**5\/20 + 59*i**4\/6 - 47*i. What is the third derivative of v(c) wrt c?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-12)*((j\/j**(3\/16))\/j)\/j*j**(10\/17)\/j**16 assuming j is positive.\nAnswer: j**(-7779\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1.2 (c) -5 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 651\/165)*-155*76\/4712.\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2209*t**3 - 417*t**2 wrt t?\nAnswer: 13254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (2 - 17) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 5*v**2 - v + 5. Let g be k(5). Suppose g*a + 50 = 5*a. Solve -a + 26 = 4*i, -4*u + 4*i = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 4. Let h be x(-2). Suppose 0 = y - h*y + 26. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29695?\nAnswer: 5, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 7*z**4\/12 - 5*z**3\/6 + 111*z. Let t be u(1). Solve -2*j + 2 = -t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-3 - (-2 - -1)). Suppose 3*c + 4*o + g = -0, 4*o + 7 = 3*c. What is the lowest common multiple of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20737 and 699.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308760?\nAnswer: 2, 5, 32719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 20*j + 19.\nAnswer: (j + 1)*(j + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 + 2904*g - 714436. Let b(c) = -9*c**2 + 8718*c - 2143307. Let h(t) = 4*b(t) - 11*n(t). Factor h(i).\nAnswer: -3*(i - 488)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 15 = 9. Suppose -3*w - 13 = h, 2 + 13 = -g*w. Let x(b) = b - 2. Let f be x(2). Sort f, h, 2\/7 in descending order.\nAnswer: h, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122483\/9 + -13609. Let k = -11.5 + 12. Sort -0.5, k, h, -2\/3 in decreasing order.\nAnswer: k, h, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = 2*g - 4, -2*s - 5*g + 9 = 0. Suppose s = 3*c - 19. Suppose 1 = b + y, -c*b + 2*b + 3*y - 3 = 0. Solve b = i - 0*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*f + 58, 7*f - 5*d = 8*f + 34. Let s(c) = c**3 - c**2. Let y(b) = -9*b**3 + 7*b**2. Give f*s(m) - 2*y(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 = 3*n, -2*q - 5*n + 73 = 0. What is the greatest common divisor of 192 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + ((-90)\/16)\/(-3). Suppose -5*l - 2*m = 2, -2*m + 23 = -3*l + 9. Sort l, a, -2\/13.\nAnswer: l, -2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199 + -117. Suppose -2*r + 431 = 5*k, -2*k + h = -k - r. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/14 and 81\/42352?\nAnswer: 296464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) 0.2 (c) 19 (d) -2\/3 (e) -7.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -239, -1, 0.4, -2, 7 in descending order.\nAnswer: 7, 0.4, -1, -2, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3 + 1\/(-2))*(7 + -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -214817, -429689, -644629, -859637, -1074713?\n\"Answer: -34*r**2 - 214770*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.3. Let u = g - 0.1. Let f = -356\/865 + 2\/173. What is the closest to 0.2 in -2\/11, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1860)\/(-9)*(-198)\/(-110). Calculate the highest common divisor of n and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4438 = -5*y - 17968. Let o = y + 21585\/8. Calculate the common denominator of -101\/14 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2901231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43672?\nAnswer: 2, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbwwbww. What is prob of sequence bs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/13 + 212*n**4\/13 - 24*n**3\/13 - 2512*n**2\/13 + 3392*n\/13 = 0.\nAnswer: -106, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + (-10 - -5) + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2611 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4140*u**2 - 3596*u. What is r(1)?\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059*g - 11339 = 2567 + 1979 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-21.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o**2 + o + 2. Determine z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65054 is divided by 13008.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 530149363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/119 + 0\/1. Let i = -15\/34 + p. Let n = -3 - -2.9. Which is the closest to n? (a) -3 (b) i (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2809, 3907, 5001, 6091, 7177, 8259?\nAnswer: 9337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(7) - (sqrt(14)\/sqrt(2) + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.2, 0, 192, -38, 6 in ascending order.\nAnswer: -38, -5, 0, 0.2, 6, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 - 10*p**2 - 9*p + 665. Let i(b) = 2*b**3 - 4*b**2 - 4*b + 332. Give 2*a(c) - 5*i(c).\nAnswer: -2*c**3 + 2*c - 330","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43300662 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14335430 is divided by 14335423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6039.063 millilitres in litres?\nAnswer: 6.039063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -4\/33*b**3 + 3\/44*b**4 + 0*b - b**2 - 1\/55*b**5 - 24 + 1\/660*b**6. Factor m(c).\nAnswer: 2*(c - 4)*(c - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -287\/10 + 11349\/395. Let w = -10729\/474 - u. Find the common denominator of 29\/3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(6))\/sqrt(2) - sqrt(16)\/(sqrt(32)\/sqrt(8)))\/((sqrt(18)*2*3)\/(sqrt(18)\/(sqrt(2) - (sqrt(2) + sqrt(6)\/sqrt(3))) - sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 10 - 20*p**2 - 8.\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 0. Let a be (-7 - u)*(-4)\/14. Suppose a*x - x = 72. What is the highest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j**3*t + 2*j**2*t - 2*j**2 - 2*j*t - 3*j wrt j?\nAnswer: -36*j*t + 4*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n - 16 = 0. Let i = 1 + n. Is 1 + (i - -2) - -163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -18\/13 (c) -5 (d) -0.5 (e) 2\/13 (f) -18 (g) 72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/4 - 315\/(-36). Suppose -4*d = -4*t - q, -10 = -5*d - 3*t + t. Let l be (4\/(-35))\/(d\/(-7)). What is the nearest to -6 in 1, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:56 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.562 - 0.038. Let s = q - -4.60058. What is s rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -6*m + 8*m + 1, 17 = -4*q + m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s**(2\/3)*s*s)\/s))\/s*s**(10\/7))**(-36) assuming s is positive.\nAnswer: s**(564\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*y, -2*r + r - 4*y = -9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29508 - 12*c + 29508.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -94.41. Round q to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - 4*c - 3*c**3 - 4*c**3 + 2*c**3 + c**3 + 5*c**3 - 3*c**3 - c**3 + (-3*c + 2*c + 0*c)*(-2*c**2 + 2*c**2 - 2*c**2).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 + 1 - 1 + (-3*u - u**4 + 3*u)*(-u - 2*u + 5*u) + 14*u - 4*u**5 - 14*u + 0*u**5 - 3*u**5 + u**5.\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 90. Suppose 15 = 3*l + z*r, 5*l + r - 25 = 6*r. Let d(g) = -7*g + 2. Let j(h) = -h + 1. What is l*j(w) - d(w)?\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 5*y**2 + 6*y - 5. Let g be j(4). Suppose u + 2 = -o, g*o - 14 = -0*u + 2*u. What is the second derivative of l**4 - o*l + l**3 - l**3 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3*132\/88?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153731?\nAnswer: 17, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**7\/168 - k**6\/30 + 3*k**5\/80 + k**4\/12 - k**3\/6 - 5*k. Suppose y(t) = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733156?\nAnswer: 2, 183289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24405462 by 2.\nAnswer: -12202731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 642378 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 29578.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/67 + 1636\/2881. Let b = -759\/344 - u. Calculate the common denominator of (-2)\/5 - (-1046)\/(-60) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/4 (c) 0.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 - 95741.\nAnswer: -95741.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {c: 3, b: 15}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26963 is divided by 293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 = 8. Let c be 20\/8*j\/1. Suppose -10799 = 3*m - f, -5*m - 4*f + c*f = 17999. What is m rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15657 is divided by 69?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/3 - 6086*q\/3 - 6088\/3 = 0 for q.\nAnswer: -1, 3044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-568876.\nAnswer: 56887.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 - (3 - 92\/(-6)). Let t(h) = -h**2 - 19*h + 25. Let w be t(j). Suppose -4*y = 5*p - 0*p - 17, 3*p = 5*y + w. Solve 12 = p*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(95) - (sqrt(95) + sqrt(95)*-3)) - sqrt(95) - -2*sqrt(95)*-2)\/((sqrt(3000)*2)\/((2*sqrt(66) + sqrt(66))\/sqrt(11) + sqrt(6))).\nAnswer: -14*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {w: 6, v: 1, d: 5, j: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 322.09, -2, -260?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 0 - (-2)\/(-5). Let g = 52 - 63. Let f = 11 + g. Which is the closest to 2\/7? (a) r (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2*l**2*r + 1192*f**2*l**2 + 19*l**2*r - l**2 - 25*l wrt f.\nAnswer: -2*f*l**2*r + 2384*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24029034 divided by 159\nAnswer: 151126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3713640 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -77860.8 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 5*p**2 - 2. Let w be m(4). Let f = -11 - w. Let g(k) = 6*k - 9. Is 8 a factor of g(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150338, -300678, -451018, -601358?\nAnswer: -751698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 18714 = 2*p - 3*p, 3*h + 5*p = 11234. List the prime factors of h.\nAnswer: 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(-23))\/(q*q*q**(-2\/105)*q))\/(q*q*q**(-9)*q\/q**13) assuming q is positive.\nAnswer: q**(-418\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1)**11)**6*((f**(-2\/7))**(-33))**12 assuming f is positive.\nAnswer: f**(1716\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 49 = 9*i. Let m = i - -49. What is the units digit of 1*(9 - 8\/4) - m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00665 take away -1?\nAnswer: 0.99335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 25. Let s(c) = 1 - 3*c - w*c**2 + 8 + 1 - 3. Let b(f) = f**2 - 1. Determine -5*b(p) - s(p).\nAnswer: p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443161?\nAnswer: 443161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 3, 1, -1, -9, -4.\nAnswer: -9, -4, -1, 1, 3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -569097.7342 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 7. Suppose 5*j - 66 + 16 = t. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 0*k**2 + 1 + 3*k - 3. Let i(l) = -l**3 + 9*l**2 + 7*l + 10. Let b be i(7). Let n = -155 + b. Calculate x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23680356*f*z**2 - 5302*f*z - 2*f - 3*z**2 - 991*z wrt z?\nAnswer: -47360712*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 4*p**3\/3 + 291. Let y(t) = -13*t. Determine s(y(u)).\nAnswer: 676*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(2\/6). Let a = x + 0. Suppose 3 = a*m - 5. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8979 and 31.\nAnswer: 9010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5587857 and 2475?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 4*u**2 - 2. Let q(o) = 2*o**3 + 3*o**2 - 1. Suppose 17 = -3*w - 4*i, -14*w + 18*w = 3*i - 6. Give w*k(r) + 4*q(r).\nAnswer: 2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/4)*(g\/(g**12\/g))\/g*g**9*g**(-5)\/g*g assuming g is positive.\nAnswer: g**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15691705 to 5 dps.\nAnswer: 0.15692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 5:26 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 216, 215, 214?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.1. Let d be (-14)\/(-7)*6\/(-4). Sort d, 0, k in decreasing order.\nAnswer: 0, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, 14, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*u + 0 - 1 + 2 - 2 - 2*u + (2*u + 2 - 2)*(-1 - 2 + 1) + (-3 + 1 - 1)*(-13 + 13 - 4*u) - 3*u + 2*u - u.\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Suppose 7 = 8*j - 9. Suppose 2*n - 7 = 4*a - 3*n, 0 = 3*a - j*n. Give p(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4421 - -4437. Solve 0 = v*r + 2*r - 36 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 238267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-16))\/((-2)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*p = 96, 5*p = -0*q - q + 24. Calculate the highest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 250, -1.7, -0.1 in descending order.\nAnswer: 250, -0.1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 4*v - 4*v)*(0 - 27 + v + v).\nAnswer: -2*v**3 + 27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Let i(a) = -a**3 - 2*a**2 - a + 1. Let c be i(-2). Suppose -4*o + 5 = -c*o. Put 1, o, b in ascending order.\nAnswer: 1, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152 - -122) + 41 + (-25 - -1) - (50 - 3).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 8*t + 78. Let n = -17539 - -17545. Determine a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5110275*j**3*k**3 + j*k**2 - 2436549*k**3 wrt j.\nAnswer: 30661650*j*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -1\/4 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + w**3 - 4*w - 2 - 6 + 4 + 3 as a*w**3 + f + n*w + i*w**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*((-1120)\/28)\/(-480).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*a - a = -69, -3*a = 0. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 86.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39048 divided by -1.\nAnswer: -39048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -248*b**3*g**2 + 153*b**2*g**3 - 3800*b*g**3 - 3*g**3 wrt b?\nAnswer: -1488*b*g**2 + 306*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7114796 to two decimal places.\nAnswer: 4.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-1 + ((sqrt(550)*1)\/sqrt(10))\/(sqrt(405) + sqrt(405) + sqrt(405) + (sqrt(405) - (sqrt(405) - (2*sqrt(405) - sqrt(405)))) + sqrt(5)))*2)**2)*-3.\nAnswer: -24774\/1369 + 24*sqrt(11)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1030, 4023, 9034, 16081, 25182, 36355?\nAnswer: 49618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 5) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -76861, -153720, -230581, -307444?\n\"Answer: -j**2 - 76856*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5826643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 38. Let d be t(-12). Which is greater: -191 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhhhhchhcchhhhchhh. Give prob of sequence cc.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -429 + 477.5. Round j to the nearest integer.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 3, d: 3, t: 6, s: 4}. What is prob of picking 2 h?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7072546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7052*z - 2054 + 510 + 512 + 517 + 516 to t*z + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d**2 - 4*d - 9. Let o(z) = -14*z**2 + 10*z + 14. Let y(b) = -b. Let l(s) = o(s) + 4*y(s). Determine 5*l(h) + 8*t(h).\nAnswer: 2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - -11. Suppose 0 = -3*a - 1 - 2. Let r be (-74)\/(-6) - a\/(-3). What is the greatest common divisor of r and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -55*i + 1. Calculate c(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 (base 7) in base 10?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -157.1? (a) -1 (b) 2 (c) -0.05 (d) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9201 - 8689. Calculate the remainder when q is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*3.1.\nAnswer: 0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4 - 42687*t**3 - 426795*t**2 - 1066925*t = 0. What is t?\nAnswer: -42677, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/(-2023)*7*(-7)\/42.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 126066, 126068, 126070?\n\"Answer: 2*f + 126064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -512*o + 134*o - 27367 - 2873 for o.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*x**2 - 43*x**2 + 24*x**2 - x)*(-1 - 1 + 1 + (-4 + 2 + 4)*(-3 + 4 + 1)).\nAnswer: 15*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13042404 (base 6) in base 16?\nAnswer: -67ec4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - (-144)\/63. Suppose 0 = s*f - 3*n - 6984, -2*f - 3*f = 2*n - 17460. Let l = -708 - f. What is l rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000034 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 8, 20, 34, 50, 68?\n\"Answer: i**2 + 7*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.32? (a) 7 (b) 1\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.248 + -0.3057. Round o to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6615*j + 684 = 6538*j - 9 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 17 = 5*l, 154*g = 151*g - 2*l + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 3}. What is prob of picking 3 q and 1 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -838799*a**3 + 2*a**2 - 27*a - 80. Let u be n(-5). Suppose -3*j + 5*v + u = 0, 9*j - 4*v - 104849984 = 6*j. Round j to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*h*r**2 - 35789*b**3 - 2*b**2*r**2 - 250*b*h*r**2 + 10*b*h wrt b.\nAnswer: 6*h*r**2 - 214734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert ea89 (base 15) to base 4.\nAnswer: 30013131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2455485 divided by -163699.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/11 + 10\/(-55). Put 2, k, 1, -6 in ascending order.\nAnswer: -6, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 204\/(-119)*(8 - 1). Let g = m - -120. Suppose 30 = -3*s + g. What is the remainder when s is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**8\/2352 + i**7\/147 + 29*i**6\/840 + 8*i**5\/105 + i**4\/14 + 10*i**2 - 18*i. Factor k(u).\nAnswer: u*(u + 1)**2*(u + 2)*(u + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)\/y**(2\/7)*((y\/y**0)\/y)**(-3\/7) assuming y is positive.\nAnswer: y**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - -2075. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15138148?\nAnswer: 2, 193, 19609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -314210*l**5 + 447243*l**2 wrt l?\nAnswer: -18852600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/6730 and -103\/15123656.\nAnswer: 75618280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 22. Let u be (-64)\/m + (-10)\/15. Solve -2*n + 4*c - 10 = c, -2*n - 3*c - u = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -70. Let t be 1\/c + 0 + 13281\/(-30). Let n = -428 - t. Find the common denominator of n and 77\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m**2 - 10*m - 10. Let w(c) = -7*c**2 + 9*c + 9. Let z(i) = 5*f(i) + 6*w(i). Suppose -2*h + j + 6 = 0, -j + 2*j = h - 2. What is z(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 + 186.794. Let p = w + 0.347. Let o = 0.14282 - p. What is o rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/5)\/(c**(-27)*c)*(c\/c**(4\/35))**(-1\/7) assuming c is positive.\nAnswer: c**(6388\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -259691062.41999449 - -259691066. Let m = k + -3.58. What is m rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -129, -147, -177, -219?\n\"Answer: -6*j**2 - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535613 is divided by 502.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 883, 1753, 2623, 3493, 4363?\nAnswer: 5233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -624042 + -6\nAnswer: -624048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 119 = 34. Suppose -276700*n + 405 = -276655*n. Calculate the remainder when d is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186284 = 60*m - 149356. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 8. Let i be v(-6). Find the third derivative of -3*d**4 + d**4 + d**2 - 4*d**i wrt d.\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/201 and (-1)\/4*(-12052)\/138.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 218*q**2 - 3*q + 37. Let r(c) = c**3 - 3*c**2 + 3*c + 1. What is the remainder when z(0) is divided by r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4051 - 18*u**2 + 187*u**6 + 202*u**6 + 4048 - 12*u**2 wrt u?\nAnswer: 46680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1483 + -1467. Let k(u) = u**3 - 14*u**2 - 34*u + 38. Give k(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130100032 - 2?\nAnswer: 130100030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.17 + -3.47. Let u = i + -30.7. What is the closest to -1 in u, 0.2, 5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.85 + -5.85. What is the nearest to -2 in -1, 1.1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 - 3 = -q, 3*a - q - 2 = 0. Suppose -4*g + 3 = -a. Let i(u) = 25*u + 1454. Let t be i(-58). Is t at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -4*s**2 + 7*s + 6. Let g(a) = 9*a - 8. What is 6*g(l) + 7*y(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2130055 (base 6) to base 9.\nAnswer: 170038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 1. Let s(u) = -10*u + 0 + 1 + 22*u - 13*u. Let z(b) = s(b) - t(b). Let n(g) = -3*g. Calculate n(z(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 17 - 19 = -4*c, -2*c + 13 = a. Let q be -7 - (c + (-21)\/3). What is the third smallest value in -37, q, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146140820 divided by -4\nAnswer: -36535205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 224456?\nAnswer: -224456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3858249345 to the nearest integer?\nAnswer: 62115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 115 + 175. Suppose -i + u = -558 + n, -i - 5*u = -413. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 3 - (-47)\/(-9) - 29230206\/(-27). What is a rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0 = -16. Let u = -92.16 - 0.84. Let j = u - -94. Which is the fourth smallest value? (a) o (b) j (c) -3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 6 = -3*f, -2*r - 4 = -0*f - f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {z: 3, g: 17}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.29. What is the second smallest value in 3, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 548, 1, 6, -5, -3 in descending order.\nAnswer: 548, 34, 6, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 3:38 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 + 5*b. Let r = -4 - -9. Let a(t) = 2*t**2 - 6*t + t**2 + t**2. Let s(x) = r*y(x) + 4*a(x). Solve s(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**3\/2 - 2748*d**2 - 1249458*d = 0.\nAnswer: -994, -838, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {v: 2, o: 2, n: 2, a: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3638 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 3*c**2 - 9*c - 12. Let t be i(-5). Sort 0, 3, t, -2 in ascending order.\nAnswer: t, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 37*g**3 - 40.\nAnswer: -37*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/7196 and 27\/76072?\nAnswer: 532504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12820166?\nAnswer: 2, 349, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.92 - -40.02. What is the fifth biggest value in 1\/2, 2, m, 2\/13, -1.08?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40239, -79057, -117875, -156693, -195511?\nAnswer: -234329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -137798*0.1\nAnswer: -13779.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g\/g**(-2\/7)))\/g)**(-9\/5)*(g\/(g\/(g**(-2)*g*g*g)))**(-10) assuming g is positive.\nAnswer: g**(-143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1511*k**3 + 804*k**3 - 497*k**3 + 797*k**3.\nAnswer: 2615*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/30)\/(306\/255)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/70*1\/(-5).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*w, -2*w + q = -3*w. Let u = 34.6 + -35. Let k = u - -0.46. What is the biggest value in k, w, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 14. Calculate the remainder when 15 is divided by p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -18*l + 12, -h = l - 6. Which is the second biggest value? (a) 5\/6 (b) h (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + c**2 - c**2)*(20*c**2 + 14*c**2 - 31*c**2).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 54 = 252. Suppose -5*l - 93 = -h + 69, -l = -2*h + r. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 59\/3 of a day?\nAnswer: 28320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6420348 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1710 and 5216070.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y - 377 + 871 + 556 = 0 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 1. Suppose 5*w - 8 = 2. Let x(g) = -3 + w - g - 5*g - 3. Let a(m) = -24*m - 17. Let i(r) = 2*a(r) - 9*x(r). Determine -i(o) + 4*k(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 304 and 114.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6589796.\nAnswer: 2, 317, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20980100?\nAnswer: 2, 5, 209801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 10, -3, -5, 3 in decreasing order.\nAnswer: 12, 10, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 143519118 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -24, 17, -3 in ascending order.\nAnswer: -24, -3, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/3, -53, -805, -36 in ascending order.\nAnswer: -805, -53, -36, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**3 + 3*x**2 + 4*x + 1. Let k(m) = -m - 9. Let s be k(-10). Let o(j) = 0*j - s + j**2 - j**3 - 10 + 12 + j. Calculate f(z) - 4*o(z).\nAnswer: -z**3 - z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/435 and -3\/55.\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*i - 15117, 3*d + 12602 = 6*i - 10069. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)*9\/(-225) + 564\/975?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-152)\/(-348)))\/(((-3285)\/584)\/((-10)\/8)).\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Evaluate -1 + -32 + 34 + (0 - 1 - 13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.24, 2, 4\/11, -1\/8, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u**3 + 8*u**3 - 122*u - 117*u + 239*u.\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -3894b9?\nAnswer: 3894b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 3:40 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 11. Let a = -10 - c. Find the third derivative of 0*t**a - 2*t**2 - t**2 - 7*t**5 wrt t.\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29456 is divided by 640.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3079 + -3077. Let c = 13 - 5. Let u = 5 - c. What is the second smallest value in u, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -4, 2\/3, 2, -0.9, 11, 33.\nAnswer: -4, -0.9, 2\/3, 2, 11, 33, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 11:57 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Suppose z*i - 6 = 2. Let h(g) = 3*g**2 - 4*g**2 + 0*g**2 - 8 + 3*g**i. Let b(s) = 1. What is -8*b(n) - h(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -128899 divided by -4\nAnswer: 128899\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83 - j - 7 - 13*j**4 - 34*j**4 + 3*j wrt j.\nAnswer: -564*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47528581.00089 + 47528375. Let d = -206 - s. Round d to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 3*p + 2*p - 3*p + p + p + (-3 + 2*p + 3)*(-2 + 0 + 4) - 11*p + 16 - 16 + 1 - 2*p - 1.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/9? (a) 0 (b) 88\/9 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)*g**7)**40\/(((g*g\/((g*g\/g**(-1\/4))\/g)*g)\/g)**(5\/14)*g**2*g*g*g*g**(2\/9)*g) assuming g is positive.\nAnswer: g**(1751717\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {y: 3, v: 1, z: 6, x: 7}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 756247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 + 131*w - 46. Determine z(26).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*160\/3600*(-6)\/232.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (472\/6)\/2. Let c = 611\/15 - t. Let u = 37442 - 299533\/8. What is the nearest to -1\/4 in c, u, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9720 = 5*o, -3*d = -3*o + 4530 + 1302. Suppose 2*w = -5*a - 0*w + 3247, 3*a - o = 3*w. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038046 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-50)\/(-20))\/(-2*2))\/((-2)\/(-8)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = -4*f. Find the second derivative of -3*t - t - t**5 - f*t wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 8*u**2 - 3*u - 13. Let b be w(7). Suppose 5*t = -b, -t = 3*k + 2*t - 48. What is the remainder when 49 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**3 - 2*f**2. Let v(r) = 112*r**3 + 3*r**2 + 3108*r. Let k(p) = v(p) + 4*w(p). Find the second derivative of k(i) wrt i.\nAnswer: 912*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1357, 1339, 1281, 1159, 949, 627, 169, -449?\n\"Answer: -4*f**3 + 4*f**2 - 2*f + 1359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 1539.\nAnswer: 307.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 3. Let h(x) = 2*x**2 + 17*x + 10. Determine 2*h(q) + 7*r(q).\nAnswer: 4*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 1514?\nAnswer: -1519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2327 is divided by 2270?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4941? (a) -0.4 (b) -0.1 (c) -321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 10*h + 12. Let i be a(-11). Let f(q) = 1262*q**3 - 2*q**2 + 3*q - 2. Is f(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 + 25 = 0. Suppose -12*n = -8*n - 16. Suppose 4*h - 3*g - 133 = 0, 167 = h + n*h - 3*g. What is the remainder when h is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - z**2 + 2*z + 3. Let b(p) = -5*p**3 + 2*p**2 - 6*p - 8. Let i(u) = -3*b(u) - 8*g(u). Suppose 9 = x + 2*x. Calculate i(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116352 and 29790.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -70. Which is bigger: w or -36\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2334486*o - 399801?\nAnswer: -2334486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -21*m + 9*m + 12*m - 457*m**2 + 439*m**2. Let j(z) = -13*z. Calculate j(p(g)).\nAnswer: 234*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 75 = -o. What is the remainder when 24 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 63 = -73 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003362 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16531.3 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1.5, -146?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6) + (-27 - -10) + 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 47*u**2 + 14*u - 545. List the prime factors of o(-50).\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + 25. Suppose b*l - 288 = 26*l. Solve l = -32*q + 36*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -350, -666, -1076, -1580?\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 23. Let b = s - -60. Suppose 0 = 2*z - r - r - 60, -z + b = -2*r. What is the greatest common factor of z and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 25. Let b = -10 - y. What is the derivative of 9 - 5 + b*q**4 + 7*q**4 + 1 wrt q?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 257?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 370*f**2 - 12*f + 12. What is b(1)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 - 17*t. Suppose -5*r + 626 = -2*i, -r - 357 = -4*r - 5*i. Suppose -r = -4*h + 356. Let d(g) = h*g - 120*g + g**2. What is d(c(j))?\nAnswer: 9*j**4 - 102*j**3 + 289*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 7.2. Let n = l + 2.8. Let x = -2 + 2. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*w**2 + 225*w**2 + 163*w - 163*w + 182*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/98842 and 77\/876.\nAnswer: 593052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k + 2. Let w(l) = -99*l**3 + 2*l + 4. Give 4*r(c) - 2*w(c).\nAnswer: 194*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1 (c) -3\/8 (d) 30 (e) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15156, -30310, -45464?\n\"Answer: -15154*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*f**3*h**3 - 3*f**3*h - 11*f**3 + 138698*f**2*h**3 - 95*f*h - 2*f + 64*h**2 wrt h.\nAnswer: -120*f**3 + 832188*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 1 r when three letters picked without replacement from jemderemmde?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*n = 206*n - u + 85, 5*n - 18*u - 274 = 0 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - 4*w)*(-4*w**2 - w**2 + 0*w**2 + w**3).\nAnswer: -2*w**4 + 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 6)*(7*a**4 - 2*a**3 + 2*a**3) in the form j*a**4 + u + o*a**2 + k*a**3 + v*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9315, 3, -2 in descending order.\nAnswer: 9315, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0229308 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.8 - 1.5. Let j = r - 17. What is the second smallest value in 0, j, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 186*b*p*r**3 + 66038*b*r**3 - b - 427*p*r**3 - r**3 - 3 with respect to p.\nAnswer: 186*b*r**3 - 427*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10244876 - 0.14846.\nAnswer: 10244875.85154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 17}. What is prob of sequence ojj?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -167*d + 501. What is the lowest common multiple of 177 and c(0)?\nAnswer: 29559","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 89011215.\nAnswer: -2\/89011215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.04 - 87.66. Let n = k - -45.7. What is the closest to 1\/2 in -1\/3, -3, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -171545803, -171545805, -171545809, -171545815, -171545823?\n\"Answer: -a**2 + a - 171545803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - (-3600)\/260) + 2\/13. Solve -4*f = -d - 2*d + n, 3*f + 1 = -5*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4062*a**4*q + a**3*q - 207*a**3 - 7*a*q - 22*a - 5*q + 201 wrt a?\nAnswer: -48744*a**2*q + 6*a*q - 1242*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 4, -86, -14 in increasing order.\nAnswer: -86, -14, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1580*p**3 - 3056*p**2 + 4*p + 37579.\nAnswer: 9480*p - 6112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -121*d + 1. What is the tens digit of f(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45.18 - -62.18. Let o = -285213561\/298 + 957094. Let r = o - 2\/149. Put r, w, -4 in decreasing order.\nAnswer: w, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/4*7*10\/980?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.310504222 rounded to 5 decimal places?\nAnswer: -0.3105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 753858928 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*r - 8 = 0, 3 = 4*p - 5*r - 36. Suppose -4*n - 1 = p. Is (n\/((-12)\/(-16)))\/((-2)\/65) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30866421?\nAnswer: 3, 31, 331897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -507 - -547. Suppose -14*f + 1085454 = l*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 401*y + 27833. Give h(-67).\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - 0.42. Suppose 5*n = -190 + 615. Let v = -100 + n. Which is the biggest value? (a) 1\/2 (b) 1 (c) v (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*o + 4*u, 0 = o + 5*u + 234 - 217 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 252, 2, -2, -31, 1 in increasing order.\nAnswer: -31, -2, -1, 0, 1, 2, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*g + 6*g - 16472, -4*q - 4*g = 65948. Let z = 27133 + q. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + -40.02. Let g = 31 - k. Let f = g + -70.765. What is f rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (360\/(-27))\/(-10))\/((-70)\/(-40)).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**2\/2 - 10*i + 1. Suppose 2*p = -c + 14, -2*p + 3*p = 2*c - 8. Calculate l(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23716.00000052841 - -23716. What is b rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52350071 and 214?\nAnswer: 104700142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -15. Suppose -18*h + 1543 = 1507. Sort h, 3, 5, k in descending order.\nAnswer: k, 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141568 and 161504?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(1008)*-6 - ((sqrt(7) - sqrt(28)\/sqrt(4)) + 4 + -1*sqrt(343) + -2)) + 0.\nAnswer: -281*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8829, 8832, 8837, 8844, 8853, 8864?\nAnswer: 8877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 4 + 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -1\/4*t**2 + t - 3\/4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 7. Let h be 3 - r*3\/3. Solve 0 = -0*m - h*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 92*q - 2116.\nAnswer: -(q - 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2582, 5112, 7600, 10052, 12474?\n\"Answer: h**3 - 27*h**2 + 2604*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 58*b**2 + 117*b + 289. Let x be k(-56). Solve 0 = -t + x*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17348*w**3 + 8614*w**3 + 8403*w**3)*(0 + 1 - 6 + (3 + 1 - 2)*(-4 - 2 + 4)).\nAnswer: 2979*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + -3.03. Let s = -3.1 - i. Let d = 234\/5 - 47. Which is the closest to -0.2? (a) -4 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68843.13 to the nearest ten.\nAnswer: -68840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*t = -5, -2*z - z + 4*t = 13. Let j = 531 + -531.1. What is the nearest to z in 7, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2067680 + -52?\nAnswer: 2067627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*q + 30, 2*d - 10 = -0*q - 5*q. Suppose 10*c - 1428 = -q*c. What is the remainder when c is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 2, p: 4, k: 4}. What is prob of picking 2 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -300300320 (base 5) to base 6\nAnswer: -41153051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 312. Let w(c) = 20*c + 4. Give w(t(m)).\nAnswer: -20*m - 6236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15099597 is divided by 2363?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*f - 6 = 0, 4 - 43 = 4*s - 3*f. Let x(m) = 11*m**2 - 7*m - 11. Let a(d) = -d. Let i(l) = -6*a(l) + x(l). Is i(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -926368984 + -13.\nAnswer: -926368997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 49*h - 302. Determine k(-8).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 10:01 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*u + 2 = 0, -4*a - 5*u = -0 + 2. Suppose -4*r - 6 = -p + a, -p + 5*r + 8 = 0. Solve p = 4*v - 0, 6 = q + 2*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 40. Let l = 15.9 + n. Which is the third biggest value? (a) l (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -38. Let p = -4 - -6. Suppose p*w - 74 = -t*w. Calculate the remainder when w is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 1, k: 8, m: 8, i: 1}. Give prob of picking 1 k, 1 m, and 1 n.\nAnswer: 32\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135*p**2*s**3 + 2*p**2*s + 496*p**2 - 2008*p*s**3 - p*s**2 + 8*p - 6*s**2 wrt s?\nAnswer: -810*p**2 - 12048*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + i + 12 - 20 = 0, -2*z = -i + 19. Sort z, -3, 2 in increasing order.\nAnswer: z, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249417137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 102*c**3 - 17*c**2 - 9998*c. Let b(y) = -176*y**3 + 32*y**2 + 19997*y. Let k(v) = 4*b(v) + 7*m(v). What is the second derivative of k(n) wrt n?\nAnswer: 60*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-12) + 2330\/300 + -7. Which is the second biggest value? (a) y (b) -0.09 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 1. Let v(i) = i + 1. Let a be v(2). Suppose -4*n = -a*n - 6. Is 2 a factor of h(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - -28 - (-2)\/(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4225770\/161 or 26248?\nAnswer: 26248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1082521 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-15 - (57 + -27))) + -7?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -235, -14 in ascending order.\nAnswer: -235, -14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -873*k**4 + 2627*k**4 - 1007*k**4 + 2*k**4 + 0*k**4 + 0*k**4 + (-2*k + 2*k + 2*k**3)*(5*k - 3*k - k).\nAnswer: 751*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/3 + 5*t**2\/2 + 4. What is the second derivative of u(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -23*r**2 + 270*r - 453. What is y(9)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 327*t*w**2 - 685317*t*w*y**2 + 11*w**2*y**2 + w**2 - 11*w*y**2 + 3762*y**2 + y + 2 wrt t.\nAnswer: 327*w**2 - 685317*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - b**2. Let w be s(-1). Let u(h) = 0*h - w - 2*h**2 + h**3 + 6*h - 3*h**3 - 5*h. Give u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2186)\/(-364) - (-707 - -731).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 - 50. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 50*a**2\/9 + 4*a\/3.\nAnswer: -2*a*(a + 3)*(9*a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 0.063351.\nAnswer: -0.823563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*t**3 + 0 + 0*t**2 + 0*t + 5\/4*t**4.\nAnswer: 5*t**3*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - (4 - 3) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 4*z - 7 + 3, -2*p - 5*z = -13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 + 13*o**2 + 11*o - 14. Let i be b(-9). What is the second derivative of 0*n**3 + i*n - 55*n**4 - 2546*n + 0*n**3 wrt n?\nAnswer: -660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {g: 2, a: 2, n: 1, c: 1, d: 1, l: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15540, -31065, -46568, -62049, -77508, -92945?\n\"Answer: 11*r**2 - 15558*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 4*s - 9. Let z be v(-5). Let u(l) be the first derivative of l**3\/3 + 2*l**2 + 2. What is u(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-9 - -2) + 1 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111220 (base 3) in base 6?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 79 = 8*r. Calculate the greatest common factor of 2235 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 502048455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -14) + 3 + -22 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.006? (a) 2 (b) 58 (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/22 and 40\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/(-32))\/((-35)\/1)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 1997146986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*f - 4*l - 59, -4*f - 2*l + 86 = 0. Let q be 52\/14 - (-6)\/f. Let o be q\/18*-19 + 264\/66. What is the nearest to -0.03 in o, -0.3, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**4*x**3 + f**4*x + 4*f**3*x + 2*f**2 + 510*f*x**3 wrt f.\nAnswer: -24*f*x**3 + 24*f*x + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -241 and -241 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 0, 3*z - 2068 = -5*y - z. Is 32 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 19, 191, 649, 1525, 2951, 5059, 7981?\nAnswer: 11849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-7 - -4) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-36)*1\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, j: 1, w: 4, k: 9}. What is prob of sequence wjtk?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -18*q + 19. Determine b(-4).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1795447 greater than or equal to -1795446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(35)\/sqrt(7) + 4)**2.\nAnswer: -48*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1068 - 1072. Which is greater: q or -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17758*v**2 + 16541*v**2 - 34950*v**2.\nAnswer: -651*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2\/2 + 491331*j - 982656 = 0. What is j?\nAnswer: 2, 327552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 12*v + 5. Let c be s(10). Find the common denominator of (c - -5)*46\/24 and -51\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134\/25 + 1871\/150. Find the common denominator of d and (0 - 86\/4)\/(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*((-2*j - 1 + 1)*(4 - 3 + 1) + 1118 - 133*j - 1118)*(j**2 + 2*j**2 + 0*j**2) as p*j**2 + c*j + l + x*j**3 and give x.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.98 + -29.04. Let h(j) = -j**3 + 7*j**2 - 7*j + 7. Let w be h(6). What is the smallest value in v, -3\/7, w?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28749, 57204, 85349, 113184?\nAnswer: 140709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -43. Suppose -u*v + 566 = -5*f, -v + 174 = -f + 3*f. Suppose -12 = 2*t - v. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745318 is divided by 266?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 - 140*w**2 - 4465*w = 0. Calculate w.\nAnswer: -19, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 - 19*d**2 + 34*d + 225. Calculate k(7).\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2\/9 - 1000*x\/3 - 233164\/9 = 0.\nAnswer: -71, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -0.35. Suppose 6*c - 3*c = -15. What is the nearest to 1 in m, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623378 is divided by 62437?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 121 = -7*i - 27, -3*r = 4*i - 44. Solve -4*b + 23 = 5*g, 4*g = i - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4) + 1763\/164\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/15 (b) -2\/7 (c) 1037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + m + 186 = 0. What is the remainder when 91 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85227978*v - 174237365 wrt v?\nAnswer: -85227978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 7*o = 0. Suppose 3*n - 8*n = -30. Let y(r) = -r**2 - 3 + r**3 + n + 0*r + 0*r**2 - r. Calculate y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1307.508 + -1304. Round z to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17547672 is divided by 8773832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 != 29469848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*n + 1940, -3*n + c + 49 = -1111. Is 44 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (-3422)\/435) + -27.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 0)*(-162)\/(-189) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56*36\/(-3456))\/((3\/(-75))\/(12\/20)).\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 + j - 181.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 0*k + 6 - 3\/2*k**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 23*m**3 + 2*m**2 + m + 1. Let p be x(-2). Suppose -28 = -2*j - 2*j + 5*i, 0 = -5*j - 2*i + 2. Is (28\/(-21))\/(j\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivftufo. What is prob of sequence utvi?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7. Suppose h = -5*r + 8 + 7. Let t = r + 16. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 632*p - 577*p - 11 + 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (78\/(-4) - (-27 - -27))*-2. Put 3, 4, 16, b in decreasing order.\nAnswer: b, 16, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(85)*3)\/(sqrt(5)*-1*-2 + (sqrt(5) - 2*sqrt(605))).\nAnswer: -18*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15*w + 12. Let a(s) = 5*s + 11. Let j(i) = -11*i - 24. Let g(p) = -13*a(p) - 6*j(p). Let z(b) = -12*g(b) + h(b). Let x(f) = 6*f. Determine x(z(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 4. Let v(c) = -2*c**2 - 1 + 6 - 2*c + 3*c**2 - 3. Let a be v(2). Solve 3*r - a*m = 2*m - z, -5 = -m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 6 - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*b = 2, 5*r - b = -4*b + 58 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (6*2*sqrt(95))\/(sqrt(40)\/sqrt(2)) + 0)**2.\nAnswer: -48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 6*d + 7. Let o be p(5). Let s be (-3)\/((4\/o)\/(-2)). Let h be 1\/((-3)\/12) + (-96)\/(-24). Solve s*w + 0*w + 15 = h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 94*a**2 + a. Let q be y(-1). Let o be (-4)\/((-8)\/(-2))*-31. Calculate the highest common divisor of o and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 131. Let z(t) = 97. Let f(j) = 5*w(j) + 6*z(j). Determine f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-320)\/(-1760) - 2\/11. Let f = 7 + -3. Suppose -3*t + f*w = -8, -t - 4*t + 20 = -5*w. Solve 3*i + t + 1 = a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844*q**2 - 844*q**2 + 174720432*q - 174720432*q - 4*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15345 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58347 - 47097. Is 150 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**4 - 57*o**2 + 99?\nAnswer: -8*o**3 - 114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h + 2*h)*(h**2 - 3*h**2 + 9*h**2)*(2 - 2 - h).\nAnswer: -21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 + 2*(-4 - -3). Let n = w + 20. Let d(z) = -4*z**3 - 12*z**2 + 6*z + 1. Let s(i) = -i**3 - i**2 + 1. Let o(q) = d(q) - 5*s(q). What is o(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9542 smaller than -9538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 15 + 4 + 2 + t - 3.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4724 + 15517. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7047 - 3376. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 0*t**6 + 0*t**5 - 23\/42*t**7 + 19*t - 7\/3*t**3 + 0*t**4 + 0*t**2 + 0. What is the second derivative of k(m) wrt m?\nAnswer: -460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 20?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181210 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021252053 rounded to seven dps?\nAnswer: 0.0021252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 - 7*w - 6. Let b be s(6). Suppose 2*i = 5*i + 93. Let d = 43 + i. What is the greatest common divisor of b and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = 6*n - 2*n, 5*c - 6 = -3*n. Let f(x) = 2*x**2 - 3*x - 1. Suppose 0 = -4*p + 6 + 6. What is the lowest common multiple of n and f(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 656, 1244, 2288, 3842, 5960?\n\"Answer: 9*r**3 + 174*r**2 + 3*r + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/8 and 3\/442.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = -6*m - 324 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 118.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 38*m**2 + 34*m + 197. Suppose 16926 = 546*g - 112*g. Determine a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 130, 278, 480, 730, 1022, 1350, 1708?\n\"Answer: -i**3 + 36*i**2 - 13*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*u - 375*u + 26137 = 354*u for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2640\/1155)\/((9*(-8)\/(-504))\/((-2)\/4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-49)\/(-49))\/((-2)\/(-6)) + 53685. Suppose -16*o + w = 8*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3927794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.402815 - 0.3.\nAnswer: -4.702815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:28 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m**2 - 2*m**2 + 0*m**2)*(-2 - 80*m + 2) to x*m**3 + w*m**2 + b + o*m and give x.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*s - 5, -3 + 0 = -w - 3*s. Factor 4*a**2 + 7*a**2 - 9*a**2 + 2 + w + 4*a.\nAnswer: 2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23627.5 to the nearest 100.\nAnswer: 23600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(300)*4 + sqrt(300) + sqrt(300)*1*-3)**2 + -3.\nAnswer: 10797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**8\/10080 + k**6\/720 - k**5\/20 - k**2. Let y(o) be the third derivative of c(o). Find the first derivative of y(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - q**2 - 2 + 11*q**2 - 7*q**2 in the form z*q**2 + u + n*q and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 44 - 125)*(2*g**2 + 23*g**2 + 14*g**2).\nAnswer: -2184*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v = -41*v - 36*v + 64 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - 182 = -i - 78, -2*f + 3 + 6 = 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -316944 divided by -248\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 + 1.7. Put -3, -1, l, -0.1 in decreasing order.\nAnswer: -0.1, l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 4*r - 4*r + (0 + 3 - 1)*(2*r + 2 - 2) + r - 2*r + 3*r - 46*r + 1 - 23 + 27 - 1488 + 1488 + 232*r to b*r + x and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.720752g in micrograms?\nAnswer: 8720752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (-1 - -676) + (-9)\/3.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -62, 170, -9 in descending order.\nAnswer: 170, 1, -9, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24\/97 (b) 0.1 (c) 0.5 (d) -0.5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - 2*o - 11. Let s be h(-4). Let g be (-255)\/s + 0 + 4\/(-14). Let i = g + -5. Solve -4 = -i*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.73 + -16.67. Let p = -19.4 - h. Suppose -18 = 2*o + o. Put o, 4, p in descending order.\nAnswer: 4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2265, -3175, -4103, -5049?\nAnswer: -6013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuocuoozcuzxzzvxxxuc. What is prob of sequence ouo?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10712 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16455023 is divided by 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1. Let y(x) = -5*x - 10. Let n(k) = -14*k - 119. Let f be n(-22). Let g = -199 + f. What is g*o(w) + y(w)?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -30*x**2 + 1427*x + 14174. What is y(56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 194, 239, 294, 359?\n\"Answer: 5*z**2 + 30*z + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a - 10. Let h be p(-4). Solve h*z = 3*y + 11, 3*z = 4*z - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t + 40 = 29*t. Let y be (-2)\/(t\/22)*2. Solve -5*b + 5*f - 4 = y, b - 9 = -2*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 10*r**2 - 5*r**2 + r**3 + 11*r**2 + (r**2 - 4*r**2 + r**2)*(r - 3*r + r) in the form a*r**3 + v*r**2 + b*r + y and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 21.9. Let x = 1.72 + d. Let u = x + -0.02. Sort 3, 0.4, u in descending order.\nAnswer: 3, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002169700554 rounded to six dps?\nAnswer: -0.000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -376, -845, -1500, -2341, -3368?\nAnswer: -4581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjpjjjjj. Give prob of sequence jj.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*c - 83*c - 36 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -47, -66?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25502867 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1335 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 2*n)*(-4 + 4 + 4*n) + (12*n - 2*n + n)*(-2 + 4 - 1)*(-2*n + 2 - 2) in the form f*n**2 + j*n + y and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/71 - -178\/639. Let l be (2\/(-6) - 909\/(-216)) + -4. Let s = 15 - 10. Which is the third smallest value? (a) w (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10262, -11160, -12058, -12956, -13854?\n\"Answer: -898*p - 9364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -30613?\nAnswer: -3061c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8879998 is divided by 1500?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 116061*x**2 - 188*x - 40. Let m be a(-12). Round m to the nearest one hundred thousand.\nAnswer: 16700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1002004 - 3?\nAnswer: 1002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 9:48 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 326 - 287. What is the remainder when 98 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 s when four letters picked without replacement from {s: 2, w: 4, i: 5, c: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2343311 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 86 - 38 = -2*q, 2*q - 8 = 2*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -1) + 1 + -2. Let z(v) = 4*v**2 - 1. Is z(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 23 - 1 = 0. Let g be -3*(3 + (d - -4)). Suppose 1434 - 195 = g*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-530)\/(-1325)*(-5)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqy when three letters picked without replacement from qqqyyyqyyq?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1508 and 6812?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)*x)\/(x*x**(1\/2)*x*x)*(((x*x**2*x)\/x)\/x)\/((x*x**3)\/x))**(-1\/35) assuming x is positive.\nAnswer: x**(9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 36*j**2 + 95 - 48 - 47. Let z(i) be the first derivative of 0*i + 0*i**2 + 27 + 2\/3*i**3. Give z(q(n)).\nAnswer: 2592*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3330 + -3328. Solve 35 = -11*z + x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**3\/2 + 3*z**2 - 43*z - 24. Let w(m) = m + 1. What is u(x) - 2*w(x)?\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43, -56, -73, -94?\n\"Answer: -2*n**2 - 7*n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*c - 12. Let p(o) be the second derivative of -o**5\/20 + o**4\/4 - o**3\/2 + o**2\/2 + o. Let m be p(c). Which is smaller: m or 2\/25?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -678*s + 167*s + 170*s - 8*s**2 + 170*s - 166 + 173*s in the form y + a*s + q*s**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -12. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u - 11. Suppose -2*f - 6 + 0 = 0, 0 = -2*i + 3*f - 1. Let m be d(i). Suppose -4*j - 5350000 = -m*j. What is j rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0865 + 1082261.667\nAnswer: 1082261.7535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1555000.9999735 + -1555000. Let u = z + -1. What is u rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902877272 to the power of 1\/3, to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 3.9. Which is the closest to 0? (a) -1 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:53 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:49 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27825841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-30)\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 6937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 + 28*b - 93. Calculate g(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161240 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -123 - (-69 - 2 - 129).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**3 - 587760*m**2 - 10578708*m - 47602728 = 0.\nAnswer: -146922, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**3 - 160*g**2 - 152932*g - 152768 = 0.\nAnswer: -176, -1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**5\/30 - 3*n**2. Let r(f) = 11*f**2. Give r(q(h)).\nAnswer: 44*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25944 and 192?\nAnswer: 207552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(30\/16)*9. Let j = -9 - s. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 203 and 675642?\nAnswer: 4729494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*h - 57*h - 3570. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-26)*65\/(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*y - 938 = -3*v, 0 = -5*y + 20. Suppose j - r - r = v, 12 = -4*r. What is the greatest common divisor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -966175*j*n**4 + 4*j*n**2 + 2*j*n + n**4 + 3*n**3 + 11299168*n wrt n.\nAnswer: -23188200*j*n + 24*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 156?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5 = 0, 17 = -n + 3*o - 0*o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a + a**3 + 12*a**2 + 14*a + 14 + 0*a**3 - 7*a. What are the prime factors of v(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + -23. Let l = -173 - p. Let i = l + 138.117. What is i rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-1)*u*u)*u)**(-3\/7)*u**3*u**0*u)\/(u**(-1\/7)*u\/(u\/(u\/(u*u\/u**(5\/3)))))**48 assuming u is positive.\nAnswer: u**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/2*(-400)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + g + 202 = 0, 2*n + 17 = -g + 160. Suppose -14*f + 184 = -10*f. Calculate the greatest common factor of f and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhc when three letters picked without replacement from ccdhd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 132679771, 132679772, 132679775, 132679780, 132679787, 132679796?\n\"Answer: g**2 - 2*g + 132679772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 125, 0, 4, -3 in decreasing order.\nAnswer: 125, 4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38537298 - -67209054975\/1744. Let a = q - -10496687\/1030704. Let t = 3\/197 - a. What is the common denominator of t and 23\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 + 2*z - 3. Let b be f(4). Let m be (50\/(-35))\/(((-4)\/364)\/1). Let p = m - b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 3 + 3*p - 2)*(119 - 1372 + 3200) as d + v*p and give v.\nAnswer: 3894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2.97. Let p = -0.03 + b. Let o = 187.7 + -187. Sort -0.5, p, 2, o.\nAnswer: -0.5, o, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27.9471 and -32?\nAnswer: 894.3072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 90. Sort 2, 3, -5, r in ascending order.\nAnswer: -5, r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*n + 16716 = 0, -5*n - 80 = j - 3414. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23013022113 - 1?\nAnswer: 23013022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*x**4 - 108*x**3 + 144*x**2 - 52*x + 6.\nAnswer: -2*(x + 3)*(3*x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11184, 10279, 9374, 8469, 7564?\nAnswer: 6659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584777738.\nAnswer: 2, 31, 1087, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.38 - 63.62. Let y = g + 65.00000049. What is y rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/8, -3, -0.4, 1\/3, 247, 1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 1044, 3609, 8604, 16839, 29124, 46269?\nAnswer: 69084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/586692 and -157\/27090.\nAnswer: 20534220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*t + 258*t + 5*j + 4 = -1, -12 = 3*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13015 - 13087 - (-1 + (-21 - -1))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j + 3*j. Solve 3*h - 4*h + 3 = j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/3*-1*2\/(-4). Let j be (i + -4)\/(5\/((-135)\/6)). Let m = -64 + 69. Put -1, j, m in decreasing order.\nAnswer: j, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 726 + 313 = -285. What is the remainder when a is divided by 58?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 93*y - 25*y.\nAnswer: 68*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4 + 72*x**3 + 254*x**2 - 72*x - 256 = 0. What is x?\nAnswer: -32, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5567, 13752, 27399, 46514, 71103?\n\"Answer: g**3 + 2725*g**2 + 3*g + 2838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 80. Suppose -l*q = 3*g - 4*g - 8, -4*g - 5 = q. Factor -29*k**3 + 3*k + 0*k + 26*k**q.\nAnswer: -3*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 1901*n**2 - 475*n.\nAnswer: -n*(n - 475)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*w - 1493 + 10431, 0 = -2*h - 4. Let y = w + 371. What is y rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + (148 - 129) + -26?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 4*x + 52, 5*x = 5*i - 1249 + 1299 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -36, -58, -82, -108, -136, -166?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 12 = 9*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26436 is divided by 13218.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34703 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 72 = -11*l. Suppose -6*d - 6 = -l. Suppose -m - h = 0, -2*h + 4*h = -d*m. Let z(w) = -w**3 + w**2 + 9. Give z(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, j: 3}. Give prob of picking 4 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 810141 + -417?\nAnswer: 808623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 100 = 8*o. Let f = 113 - 54. What is the remainder when f is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -312*s + 313. Let p be h(1). Does p = 24\/403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9231569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(55\/(-220) - 18\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4325, 4327, 4329, 4331, 4333, 4335?\nAnswer: 4337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, o: 3, r: 4, n: 5, f: 3}. Give prob of picking 2 n.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 2601?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21 + -2 - (-1 - 2). Suppose 58 = 5*g - b. Let s(j) = -g*j**3 - 14 + 14 + j - 2*j. Give s(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxfxxxxfxffxxxxxfxxx. Give prob of sequence xfff.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4924838 rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + (-52 - -54)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*o + 1 = g, 9 = 2*g + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdjwdwo. What is prob of sequence jdww?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29018, -343, 4.\nAnswer: -343, 4, 29018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/(-6))\/(2\/6). Suppose u = -3 + 1. Is 6\/3*l\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 200 = 16*r. Is -48 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3327967 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 16) to base 14.\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -749?\nAnswer: -749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**37)**(1\/46)\/(g**16*g*g**19) assuming g is positive.\nAnswer: g**(-1619\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-87 + (28 - 5)) - 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 577903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/15*1\/4)\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 - 1 - 2*m**2 + 1. Suppose -i = 2*p - 0*i - 2, 0 = -5*p + i + 19. Let l(d) = -p*d + 5*d + 3*d. Calculate l(s(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/7 - (29 - 25). What is the second biggest value in n, 0.05, -2, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5828579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzxk. What is prob of sequence kxz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 2*u + 3, 4*k - 2*k + 15 = -3*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a millennium in months?\nAnswer: 20400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 b when three letters picked without replacement from ymobboobxomoomoxb?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 156 = 2*t, -5*t + 54 = v - 336. Let u(p) = -p + 2. Let m be u(0). Suppose -m*o - o = -t. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 3*i**2 - 23*i - 16. Calculate r(-5).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, i: 2, e: 3}. What is prob of picking 2 i and 2 e?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 793223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009694586 rounded to six dps?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110953342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (2 - -5)) + (0 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24.36732ml?\nAnswer: 0.02436732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b**2 + 10*b**2 - 11 - 2*b**3 + 2*b - 21*b**2 + 27 in the form u*b + z*b**3 + o + f*b**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/5 + (-3)\/(-5). Let l be (-3 - -6)*o\/(-60). Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2 (b) 20 (c) 16 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 5*g + 1012. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3347 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 4. Let s be a(-6). What is the common denominator of 3\/2 and ((306\/40)\/3)\/(21\/s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + -1)\/(-3 - -2). Let d = 9 + b. Suppose 3*w + 5 = -2*h, d*h - w + 7 = 32. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162560 and 2607310?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.83321 rounded to 1 dp?\nAnswer: 21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27300314 - -0.273. Round p to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 661367937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 231, 466, 701?\n\"Answer: 235*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116693718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15480 and 3960.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122222050?\nAnswer: 2, 5, 2444441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gto when three letters picked without replacement from tyttyogtggg?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232562 + -300?\nAnswer: 232262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 5, -18349 in descending order.\nAnswer: 5, 2, -3, -18349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 35246 (base 7) to base 6\nAnswer: 105522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.5 + 25. Let n = t + -33.50000159. What is n rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61221?\nAnswer: 3, 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, y: 1, b: 1, x: 1, r: 1}. Give prob of picking 4 q.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4331540889 to three dps.\nAnswer: 0.433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqqqqeeqqqeee. What is prob of picking 4 e?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.42484 - 5.42484. Let u = -12.1 + 13. What is the biggest value in -3, 3\/5, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3075 - 2976. Does 33 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5136 + 5721.6. Round p to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 9473924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/648*6\/14?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284 and 497?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -288 + 291. Let i = -9 - -5. Which is the closest to 2? (a) f (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39\/5*r**2 - 17\/10*r**3 - 28\/5*r + 1\/10*r**5 + 0 - 3\/5*r**4 = 0 for r.\nAnswer: -4, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 + 5*i**2 - 7*i**2. Let v(t) = -14*t. Calculate v(o(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 3) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 0)*(-55*s - 37*s - 42*s) to the form t + y*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 450*x. Let p(r) = 181*r + 2. Determine j(p(f)).\nAnswer: 81450*f + 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 905e + 12?\nAnswer: 9071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (27\/45*-5)\/(4 + (-135)\/33)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (765\/4131)\/(10\/45)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115 not equal to -5508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7677 + 4875. What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5 + 149. What is the common denominator of ((-2)\/(-24))\/(3\/(-678)) and 2\/(-3)*(-96)\/r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 5 + 2 + -5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -14.6.\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*((0 - i + 0)*(-1 - 2 + 5) - 100 + 100 + 159*i - 864*i).\nAnswer: 1414*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 19. Let c = 13 + g. Sort c, 0, -11 in descending order.\nAnswer: 0, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 4*k**2 - k + 3. Let c be n(-3). Let x = -0.559 + 0.059. Let y = 4\/131 - -119\/393. What is the nearest to -0.1 in x, c, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8541041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v = 22. Suppose -12*r + v*r = -9. Let s be -1 - (-6 + 4)\/(-2) - -12. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 - 116. Suppose 10 = 5*k - j*a, -k + 0 = a - 2. Calculate the lowest common multiple of (3\/(-12)*22)\/(-1)*k and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/9 + 26009*i**3\/9 + 129995*i**2\/3 + 1949675*i\/9 + 3249250\/9.\nAnswer: (i + 5)**3*(i + 25994)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 + 145. Let a = 304 - z. Let c(d) = d**3 - 4*d**2 + 4*d + 2. Let h(q) = 3*q**3 - 13*q**2 + 13*q + 6. Let w(t) = -7*c(t) + 2*h(t). What is w(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/7))**6)**(-24) assuming j is positive.\nAnswer: j**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 189*v**2 - v + 8. Let y be p(-4). Suppose 2*w - w + y = 2*n, n - 1536 = -4*w. Suppose 5*x + 5*m = n, 4*m + 626 = x + x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 15342.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -42. Suppose x - o*a = 5*x, 4*x = 4*a. Let w be x + 5\/((-20)\/(-8)). Solve -w*c = -3*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 82, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/89 - -187\/801. Let j = 0.1 - 0.1. Let c = 246 + -245. What is the closest to 0 in j, c, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*f + 14 = n - 80*f, -n - 4*f = 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 692\/(-80) - (-3)\/(-12) and 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1389747827 + 0.2.\nAnswer: -1389747826.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 29. Let k(s) = 4*s**2 - 4*s + 2. Let x(d) = -17*d**2 + 18*d - 9. Let i(h) = 9*k(h) + 2*x(h). Determine i(q(f)).\nAnswer: 2*f**4 - 116*f**2 + 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*f + c, 7*f - 5*f = -5*c - 2 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/3*r**4 + 1 + 40*r + 24*r**2 - 2\/3*r**3. Determine b, given that w(b) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-6 - -3)) + 2. Suppose 17 = 3*b + 5*i - 58, b = n*i + 45. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/48528 and -145\/12.\nAnswer: 48528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1561188*b - 1 - 1561187*b + 1 - 18*b**2. Let j(r) = -19*r**2 + 2*r. Give 3*j(a) - 4*k(a).\nAnswer: 15*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 3*y**6\/10 + y**5\/6 - 67*y**4\/4 - y**3\/2 - 5*y**2 - 32*y. What is the second derivative of l(c) wrt c?\nAnswer: 216*c + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700060242 plus -1225?\nAnswer: 1700059017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -36\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 34*w**2 - 23*w + 422. Let p be b(-35). Solve -p*h + s + 20 = -3*s, s = 2*h - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5330 divided by -409?\nAnswer: 5330\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8135078773 + -0.08\nAnswer: 8135078772.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18826 - 2440*a**3 - 18826)*(-2 + 1 - 1) - a + 2*a**3 + a to the form h*a + t*a**3 + s*a**2 + y and give t.\nAnswer: 4882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*t - 11*t - 19*t**2 - 3*t - 3*t + 14*t as x + v*t**2 + p*t and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from zzoozooozooommooozo.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.31148 centuries to months.\nAnswer: 97573.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -3d1d86?\nAnswer: 3d1d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 210*w = 213*w - 28, -112 = -4*g + 12*w for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3931, 3930, 3927, 3922, 3915?\nAnswer: 3906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*p**3 + 340*p**3 - p**2 - 154*p**3.\nAnswer: 17*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-64)\/(-12))\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1500 - 1372. What is the highest common factor of y and 5056?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 g when three letters picked without replacement from {n: 1, j: 1, g: 6, b: 1, v: 3, c: 4}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 14. Let g = -20 + 29. Let r = g + i. Solve 0*t - r = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 881 = -866 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259.5 - 259.5. Which is the smallest value? (a) x (b) 13 (c) -0.12 (d) 4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, q: 3, p: 2, m: 8, k: 2, w: 4}. What is prob of picking 1 v, 1 k, and 2 m?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.219 and 20002708347.\nAnswer: 20002708346.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3005 (b) -0.3 (c) 1005 (d) 2 (e) 6\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {f: 9, w: 3, d: 1, a: 6}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28042759 is divided by 7794.\nAnswer: 7741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 12*j**2 - 11*j - 25. Calculate b(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 + -1)) + 2 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(200) + (sqrt(18) + sqrt(2))*6 + -4.\nAnswer: -4 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 689*g + 10204. Let i = -5 + 12. Calculate the remainder when i is divided by p(329).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 25 + (-7 + 8 - (-6 + 34))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23497 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 0. Suppose -4*l = -18 + 6. Let p = q + l. Sort 1\/7, 0, p in descending order.\nAnswer: p, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 687*q - 346*q = 345*q - 32. What is the greatest common factor of q and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c615c - -7?\nAnswer: -1c6155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -13. Is (-2)\/u*1992\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33228 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*a + 142 - 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 282764205 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccsuscycyuucyuuuucsc. What is prob of picking 1 c and 1 u?\nAnswer: 49\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 85*k - 99 = -8*k. Sort k, -31, -13.\nAnswer: -31, -13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*w + 59 - 19 = 0, -3*o + 3*w - 33 = 0. Let z(g) = g**2 + 22*g + 117. Let d be z(o). Solve d = -9*x + 10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1100)\/(-450)*(-3)\/99?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 153649, 307310, 460969, 614626?\n\"Answer: -f**2 + 153664*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 282 - 195. Let h = 134 - j. Suppose -h = -4*x + 41. Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 29.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 217622?\nAnswer: 217627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -90.4. Which is the fourth biggest value? (a) i (b) 0.4 (c) 4 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o**2 + 6*o - 3. Let t be x(-7). Is 17 - t\/((-4)\/(-3)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x + 4. Let v be d(-4). Suppose 0*c + 2*c = 4*t - 4, 3*c + 4*t - v = 0. Let k be (-63)\/(-6) + (-8)\/16. Solve 5*b + k = w - 5, 3 = c*w - b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 11 - 99 = 5*x - 4 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 8*j**2 - 7*j. Suppose -2*i - 4 - 10 = 0. Let y be b(i). Solve y + 4 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(28)*4 + 4)**2 + 0 + 4 + sqrt(28)*-3)*-3.\nAnswer: -5436 + 402*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 10. Which is greater: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461 + 55*n - 488 + 38*n + 934 - 13*n.\nAnswer: 80*n - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let z(l) = -4*l - 11. Let d(f) = 7*m(f) - 2*z(f). Give d(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 p when four letters picked without replacement from {j: 1, p: 4, g: 3, f: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 5427821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 220.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/19))\/((p\/(p**(1\/3)\/p*p))\/p))**(-17))**(-20) assuming p is positive.\nAnswer: p**(24820\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 37*l - 8. Is v(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Let q = -0.6341 + -0.1659. Which is the closest to q? (a) d (b) -0.4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 10*f - 68485 = -5*n, 5*f + 4*n - 68491 = 0. What are the prime factors of f?\nAnswer: 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118663163 is divided by 72?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2204837828 to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 80*w**2 + 85*w.\nAnswer: -5*w*(w - 17)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*g = -10. Let r(u) = -u**2 - 7*u - 3. Let h(z) = z**2 + 4*z + 1. What is g*h(a) + 3*r(a)?\nAnswer: 2*a**2 - a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 7:05 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39960, -39963, -39966, -39969, -39972, -39975?\n\"Answer: -3*k - 39957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 3*c - c)*(-7052*c + 2649*c - 8084*c + 64*c - 4037*c) to j + z*c**2 + s*c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3315.\nAnswer: 1\/1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 3. Suppose -3*t = 3*z + z - 6, 5*z + 2 = t. Give d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20892353, -41784711, -62677069?\nAnswer: -83569427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3884 - -7181347768.\nAnswer: 7181351652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:57 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*((-29)\/3 + 0 + -1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1545580979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1)*-2 + -2. Let f(c) = b*c + 2*c + 2*c - c. List the prime factors of f(17).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59, 55, 51, 47?\n\"Answer: -4*y + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 3\/520*20*(-248)\/(-12)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-142)\/(-14) - 2\/14. Solve -5*n = -2*l - 0*n + t, -6 = 3*l + 3*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 + 114)*(-9)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2\/5 - 37653*r\/5 + 9308274 = 0. Calculate r.\nAnswer: 1390, 11161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u**4 - 1\/10*u**5 + u**2 + 0*u + 0*u**3 + 0. Let h(c) = 3*c**2. Determine h(l(a)).\nAnswer: 108*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1885311979\/510591060 - -3942\/135077. Let d be ((-2)\/(-105))\/((-72)\/(-50)). Let y = d + a. Calculate the common denominator of 35\/4 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1284 and 410452.\nAnswer: 1231356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 12*z**2 - z - 3*z**3 - 5*z**3.\nAnswer: -8*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19bb96 (base 12) to base 5\nAnswer: -104044122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(-4 + (-1*(sqrt(300) - (-2*2*sqrt(300) + sqrt(300) - sqrt(300)))*-1*-3)**2))*-2.\nAnswer: 404976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780888.\nAnswer: 2, 3, 32537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.7 - 4.9. Let o be -2 - 0 - (-16)\/9. Which is the second biggest value? (a) o (b) 2\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 14*g - 14\/3*g**3 + 1\/2*g**2 - 1\/4*g**4 + 14. Let z be v(-14). Solve -4*m + 11 = -3*f, 4*m + z*f = -2*f + 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/16*(-1260)\/294.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19371914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 12. Let n be l(8). Suppose -16*y + 8 = -3*y + 21. Which is the closest to y? (a) 1 (b) n (c) -5 (d) -1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - l, l + 3 = -4*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2. Let o(p) = 21*p**2 - 4. Determine z(o(j)).\nAnswer: 441*j**4 - 168*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (7*(-3 - (-281)\/7))\/(8\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2603 - -4003401?\nAnswer: 4006304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 + 10 - (-138 - (-60 - 26)))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -354, -4457, -15652, -37503, -73574, -127429, -202632, -302747?\nAnswer: -431338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/5)\/((m**(-2\/3)\/m)\/m)*m\/(m*m**(-9))*m*m*m*m**3*m*m assuming m is positive.\nAnswer: m**(286\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 1 + 235*n**3 + 9*n**4 - 235*n**3 to v*n**3 + z*n + x*n**4 + r + s*n**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.8 - 93189804.9.\nAnswer: -93189811.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * 99366\nAnswer: 11923.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*i = 6, 5*m = -0*m - 3*i - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -5 + 2*sqrt(275) + 1 - -5*(sqrt(11) + (sqrt(11) - (sqrt(55)\/sqrt(5) + -2)) - sqrt(99)*2))**2.\nAnswer: -120*sqrt(11) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/528 and -41\/16?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/31)*q\/(q*q\/(q\/(q\/(q*q*(q\/q**(-25))\/q)))))**(-32) assuming q is positive.\nAnswer: q**(-25728\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:08 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, d: 2}. What is prob of picking 3 v?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 249\/15 - 28\/(-70). Solve -4*q + u = 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2365 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5\/2 + 3*u**4 - 9*u**3\/2 - 6*u**2 + 6*u.\nAnswer: 3*u*(u - 1)**2*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 770 and 440.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136\/15 - 42\/5. What is the closest to 2\/3 in 2, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-66))\/(4\/1). Let u(p) be the first derivative of -7 - 1\/3*p**3 + f*p + 0*p**2 - 13\/4*p**4. Find the third derivative of u(o) wrt o.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + 2*sqrt(66)*-2 + 1*sqrt(66)*6)\/(sqrt(864) - -3*sqrt(864) - -1*sqrt(12)\/sqrt(2)))**2.\nAnswer: 99\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95605140 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11*l - 3. Let x be d(-1). Let z be -1 - 1 - (5 - 32). Let r = z - x. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1159 + 1141 - (0 + -27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(847) - (sqrt(847) - ((sqrt(847) - sqrt(847)*1) + sqrt(847)))) - (-3 + sqrt(28)\/sqrt(4) + 1))*6)**2.\nAnswer: 4608*sqrt(7) + 258192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-29*350\/(-27550)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (74 - 75) + -3 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -671 + 671.685. Let t = 0.385 - k. Let i = -3 - 2. Put -2, 1, t, i in decreasing order.\nAnswer: 1, t, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1029\/55 + -3109\/165. Let u = 0.8 + -1.1. Which is the biggest value? (a) u (b) 24\/13 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 - -95. What is the nearest to -4\/9 in z, 4\/3, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/100)\/((-2)\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83260 (base 16) to base 13.\nAnswer: -15a67b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -646, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j - 10. Let q(c) = 1 - 2*c + 11*c - 8*c. What is -22*q(y) - 2*v(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 7 - 4. What is the third derivative of -k**v - 12*k**3 - 8*k**3 - 8*k**2 + 25*k**2 wrt k?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.0108 + 2.0108. Which is bigger: c or 28925?\nAnswer: 28925","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**2 - 8. Let m(r) = 2*r**2 + 2. Let c(t) = -6*i(t) - 26*m(t). Differentiate c(s) with respect to s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -55, -61, -69, -79?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7029899.\nAnswer: 7029899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-13\/4)\/x*x\/x**25 assuming x is positive.\nAnswer: x**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, -1\/16, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13575 - -56078. What is the ten thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*f = -0*f + 1, -5*q = 2*f - 8. Let a be 6*((-112)\/(-315))\/(-16). What is the second biggest value in -5, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 101?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*k + 30, -27 = -5*m - 2. Let u = 12 + -9. Let g be (72\/(-252))\/((-65)\/91). Which is the third smallest value? (a) k (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 238, 883, 1966, 3493, 5470, 7903, 10798?\n\"Answer: g**3 + 213*g**2 - g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1875201.615 and -0.1.\nAnswer: 1875201.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 331 and 7374680.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/10)\/(2*(-7)\/(-28))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 498*f**5*s**2 - 9*f**2*s**2 - 3*f**2 wrt f?\nAnswer: 29880*f**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 + 3.02. Let t = 0.52 - o. Which is the closest to -1? (a) -5 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b - 2. Let f be i(-2). Solve -2*x - 3*o = f + 4, -3*o - 26 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 4*r**2 + r**2 + (-r - 2*r + 4*r)*(-5*r - 4*r + r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/42*3\/2. Let v(q) = -q**3 - 10*q**2 + 12*q + 7. Let y be v(-11). Put y, 5, w, -5 in increasing order.\nAnswer: -5, y, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 3 = -15*v. Suppose -v*d + 131 = -0*d + 3*u, d - 3*u = 52. List the prime factors of d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 88.5115 from -2.\nAnswer: -90.5115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - (3 - (1 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -43, -4 in increasing order.\nAnswer: -43, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 854779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 5*p + 66 - 180.\nAnswer: -5*p - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 7. Let m be x(-5). Let a be 2 + (-3 - 2\/m). Solve -q + b = a, 2*b + 10 = -3*q - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22405654 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*f*p - 49410267*f - 2307410*p wrt p?\nAnswer: -9*f - 2307410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3867.7 + -3868. Sort -13, -3, 0.3, s, 0.4 in descending order.\nAnswer: 0.4, 0.3, s, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + 69*c**2 - 58*c - 356. What is h(34)?\nAnswer: -1172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - c - 2, 4*c = 2*t - c + 14. Suppose -o = -0*v - 5*v + 10, -t*v + 6 = 2*o. Suppose o = -2*s + 3*s - 56. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w - 2*w - 2*w)*(w - 1 + 1) + 3 + 2*w**2 + 0 - 2)*(-3*w - 6*w + 0*w).\nAnswer: -9*w**3 - 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1616 divided by -101.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1104 divided by 46?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqn when three letters picked without replacement from {n: 4, q: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2930\/641 or -2\/7?\nAnswer: -2930\/641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 9*q**5 + 1 + (-3*q - q + 2*q)*(0 - 2*q**4 + 0).\nAnswer: 13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 3\/(18\/(-16)). Let h = 0.6 - -0.4. Sort z, h, -6\/11 in decreasing order.\nAnswer: h, z, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73421267.8 minus -0.2?\nAnswer: 73421268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -146. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*a + 6014 = -60*a + 149*a for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -1 (c) -12 (d) -7 (e) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*v**4 - 41*v**4 - 63*v**4 + 10 - 4*v**4 + 4*v - 4*v + (2*v + 2*v - 5*v)*(-2*v**3 + v**3 - v**3) as l*v**3 + d*v + c + p*v**4 + k*v**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - h + 3*h. Calculate b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 144079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) + -5*(sqrt(125) - sqrt(5)) + 1).\nAnswer: -4 + 76*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 357*h. Let t(s) = -17 + 54 - s - 17 - 20. Give a(t(p)).\nAnswer: -357*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242462 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 64?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d - 18 - 5*d + 19 + 8*d + 13*d to w*d + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(396)*1)**2*2 - (-3*(sqrt(77)*1)\/sqrt(7) + -3).\nAnswer: 3*sqrt(11) + 3171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + (-21 - (10 - 22)) + 25\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = n - 56, -4*l + l - 156 = -3*n. Suppose v + 2*v = 5*r + 172, 4*r - 46 = -v. Are v and n non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50909400 divided by -2036376\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1075, -1067, -1059, -1051, -1043?\n\"Answer: 8*l - 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1169 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrlrrrl. What is prob of sequence rllr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -6) + 0 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r + 0*r)*(-6 - 3 + 6 - 2*r).\nAnswer: 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/10 + 552*l**3\/5 + 136112*l**2\/5 - 1792896*l + 26373760.\nAnswer: (l - 28)**2*(l + 580)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 58*f**3 - 9*f - 1. Let q(h) = 116*h**3 - 18*h - 3. Give 2*q(a) - 5*w(a).\nAnswer: -58*a**3 + 9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 - -0.08. Let y = 2.94 - b. Suppose 0 - 11 = 3*x - f, 5*x = -f - 13. What is the third smallest value in y, x, 5\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41191772?\nAnswer: 2, 19, 349, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w - 19. Let x(t) = 3*t + 6. What is 3*p(u) + 8*x(u)?\nAnswer: -3*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 0 + 23 - 2 + 1. What is the units digit of i(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let h(b) = b. Let l(f) = -3*h(f) - 4*v(f). Let z be l(-1). Is (743 - -2) + 1 + z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45037, 45035, 45033, 45031, 45029?\n\"Answer: -2*i + 45039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 53.7902 hours?\nAnswer: 3227.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m - 2*h, -5*h = m - 9*h - 8. Suppose -20 - 30 = 5*c. List the prime factors of m - c - (18 + -22).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 594 + -598. Let m(z) = -2*z + 1 - 2 - 4*z. Give m(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -39. Let y be (20\/(-15))\/(4\/b). Suppose -3*r + 165 = -y*q, -195 = -3*r - 5*q - 30. Calculate the remainder when r is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 12*c - 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/9 - 747776*q**3\/9 + 249260*q**2 - 2243344*q\/9 + 747782\/9.\nAnswer: -2*(q - 1)**3*(q + 373891)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 91877901121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -7) + 0 + -6 + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*k - 6*k - 4, -2*b + 4*k = 8. Let n(w) = -97*w - b + w**2 + 0 + 102*w. List the prime factors of n(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-12))\/((-19)\/152). Let q(o) be the first derivative of 0*o**j - 2 - 1\/3*o**3 + 3*o. What is the first derivative of q(v) wrt v?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/90 and 14\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**3 + j**2 - 8*j - 10. Let p(r) = -r**3 - 117*r**2 + 479*r - 612. Let u be p(-121). Let f(q) = 7*q**3 - q**2 + 7*q + 9. Give u*f(l) - 6*w(l).\nAnswer: -l**3 + l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3 + 2*v + 3. Suppose 4*j = 2*x + 45206, 0 = -x - 0*x - 5. Let p(q) = -j - 17*q**2 + 11299. Give p(d(a)).\nAnswer: -68*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -44. Let x = j - -38. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -10*j - 28 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from yzdtddtdddddd.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -94 (c) -0.5 (d) 45 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -161. Let r = m + 119. Suppose 0 = -2*f + r. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.108769 rounded to two decimal places?\nAnswer: 7.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/4))**(6\/13)*(a**(-1\/3)*a)\/a**(-4\/3))\/(a**(2\/11)\/a**(5\/4)*(a**(-1\/2))**(-2\/11)) assuming a is positive.\nAnswer: a**(2033\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -22*h**3 - h + 2. Let g be x(1). Let d(r) = 102*r**3 + 10*r**2 - 10*r + 2. Let a be d(g). Round a to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3 - 98139*b**2 - 38127744*b = 0?\nAnswer: -384, 0, 33097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2 and -139\/6462?\nAnswer: 6462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -644, -2337, -5634, -11069?\n\"Answer: -89*x**3 - x**2 + 3*x + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/(-15))\/(4\/(-10)). Suppose 2*k + 26 = -2*o + s*k, 2*k = 5*o + 81. Let u = -12 - o. Solve 3*j + 8 = u*j + 2*t, -2*t + 10 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 = -146*w + 2028 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13655459\/474 + 28809. Find the common denominator of z and 81\/26.\nAnswer: 6162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 + 1 + 1. Let i(t) = 6*t**2 - 3*t**2 - p*t**2 + 6*t**2. Let o(a) be the first derivative of a**2 - 7. Calculate i(o(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -v - v. Let w = 4 + v. Let m = -2\/103 + -81\/1133. What is the closest to 0 in 1, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3088 and 4986734.\nAnswer: 39893872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -25?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c + 4*s - 19, 5*c + 2*s - 20 = 0. Suppose -c*k + 6*k = x + 10, 4*x + 3*k = 55. Suppose 4*l = l + 12. Calculate the remainder when x is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5898, -23126, -51722, -91686, -143018?\nAnswer: -205718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 87*p - 1027 = 1445 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*n + 14, -19*a + 17*a + 2*n - 10 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10747\/1248 - -269\/32. Which is the second biggest value? (a) 0.4 (b) 24 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15532 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-2)*(-2)\/(-5). Suppose r + p*r = -4*m - 15, -4*r = -3*m - 5. Let u be 60\/(-27) - (-2)\/1. What is the closest to 1\/4 in r, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 382 divided by -3\nAnswer: -382\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Suppose u*z = 7*j - 2*j - 32, -j - 4*z = 12. Let n(y) = y**2 - 11*y + 30. Let g be n(5). Solve x - j*x - 6 = g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2 + r)*(2 - 3 - 8).\nAnswer: -9*r - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 34*i = 570. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsasssnnannaasnssan. Give prob of sequence snnn.\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 61749905 divided by -649999?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 26 = 19. Suppose -2*a = -3*q + 3, 0 = a - 3*a + 5*q - j. What is the remainder when 11 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (0 - (-34 + 19)) - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 143\/3*h**2 - 338\/3*h + 33 + 50\/9*h**3 + 1\/6*h**4. Factor m(z).\nAnswer: 2*(z - 1)*(z + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 681 + -683. Let a(i) = 1. Let r(c) = c**3 + 4*c**2 + c. Let o(b) = 2*a(b) - r(b). Give o(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**3\/2 + 5*m**2\/2 + 4*m. Let g = 4 - 8. Determine i(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156963357 to the nearest integer?\nAnswer: 12529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:34 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 16 - (1 - -17 - (-41 - -51)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/3 + 2582*m**2 + 4971520*m - 331880032\/3 = 0. What is m?\nAnswer: -3884, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l + 1. Let x(p) = 6*p**2 + 2*p**2 - 7*p**2. Let o(q) = -q**2 - q. Determine l*o(i) + 2*x(i).\nAnswer: -i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(1 - 1 + 2*i) + (-1 - 3 + 5)*(1 - 1 - i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3307\/7742 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 50540, 1.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6615 and 31290?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 3 (c) 2\/15 (d) -1\/10 (e) -30 (f) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.1 - -6. Let v = x - -0.2. What is the closest to -1 in 2\/15, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142032.\nAnswer: 2, 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2428, 5814, 9312, 12922?\n\"Answer: 56*v**2 + 3218*v - 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 65*n**2 - 134*n - 1153. What is d(0)?\nAnswer: -1153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23c32e (base 15) to base 4\nAnswer: -12201323210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -18*p**3\/5 - 1857*p**2\/5 - 183*p + 924\/5 = 0?\nAnswer: -308\/3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*o + 26, 6*o - o + 5 = 2*t. Let f(i) = i**2 + 6*i + 6. Let j be f(t). Let y(b) = -7*b**2 - 2*b + 1 + 0*b + 5*b**2. What is y(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 2*x - 3*x. Let m be q(4). Calculate the greatest common divisor of 48 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*q - 4*i, -34*q - 2*i = -35*q + 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 11 + 0 + -2 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*f + 2180, -3*f + 0*l + l - 1301 = 0. Let b = 1311 + f. Is (b\/12)\/(2\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/7 - 201*m**2\/7 - 576*m\/7.\nAnswer: -3*m*(m + 3)*(m + 64)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 222*o**6 + 3*o**4 + o**2 + 3*o - 4. Let i(j) = j**4 + j**2 + j. Let y(q) = -3*i(q) + x(q). Find the third derivative of y(b) wrt b.\nAnswer: 26640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(3\/2)*w)\/w*w)**(4\/9))**(-8) assuming w is positive.\nAnswer: w**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 42549850 divided by 175\nAnswer: 243142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -440135054 (base 6) to base 14\nAnswer: -108520a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36624 and 6216?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313072 (base 10) to base 12.\nAnswer: 131214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-28)*(-1735 + 1588).\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 5:20 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16489 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 - -12)\/((-1)\/(-9)). Suppose -r = 5*t - 4, t + 1 = -5*l. Let i be 10\/6*16\/(-100). Which is greater: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 374 divided by 22\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 3. Let n be a(-4). Let p be (-38)\/(-171) + n\/((-9)\/(-331)). Let g = p - 8. Calculate the remainder when 113 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Let n = -45.03 - 0.97. Let w = 45 + n. What is the closest to 2 in 1, w, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48605, -47838, -47071, -46304, -45537?\nAnswer: -44770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 53. Suppose 0 = -6*z + 1 + 41. Solve -h*m + 4 = -z*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 17*i**2 + 17*i + 20. Let o be g(-16). What is the nearest to 0.2 in -5, o, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 29 (b) -0.1 (c) 3 (d) 2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72468 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7*s - 6*s + 15*s - 4 + 7 - s**2 - 6*s**3 to c*s + y*s**3 + t*s**2 + p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29308 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 658250.6l in millilitres?\nAnswer: 658250600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 188305.41 - 187438. Let q = -876 + l. Let p = -0.41 + q. Do p and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 1, -93, -1, -5, -4 in ascending order.\nAnswer: -93, -5, -4, -1, 1, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*(i**(1\/52)\/i)\/i*i))\/((i\/((i*i*i**(-6\/31)\/i)\/i))\/i)*(i\/(i\/(i**(-5\/6)\/i))*i)**(-3\/7) assuming i is positive.\nAnswer: i**(1629\/11284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 154071361 and 40749.43?\nAnswer: 154030611.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 29. Let w be n(12). Suppose 0 = -4*b, 3*p - b + w = 196. Factor 3*c**2 - 27*c**3 - 48*c**5 + 33*c**4 + p*c**4 - 24*c**4.\nAnswer: -3*c**2*(c - 1)*(4*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -2. Let b = 68 - j. What is the greatest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 561\/4*y**3 + 187\/8*y**4 - 427\/2*y**2 - 7\/8*y**5 - 49*y = 0. Calculate y.\nAnswer: -1, -2\/7, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*d + 125 + 53*d - 244*d**2 - 123 to w + r*d + i*d**2 and give i.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -14\/33, 23, -599 in ascending order.\nAnswer: -599, -14\/33, 4\/7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1911183 and 358.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1737630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddggggdggddgd. What is prob of picking 3 g?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u - 29*u = 7*u - 96 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -719 + 404. Is -105 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -221? (a) 0.1 (b) 8 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 85*m**2 + 462*m + 419. Let v be l(-4). Let s = -1 + 3. Suppose s*i = -3*o + 4, -5*i + 0*i + 2*o = 9. Put i, v, -16 in descending order.\nAnswer: i, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Suppose -g*o + 0*o - 4*u - 11 = 0, -5*u - 25 = 0. Suppose b - o*b = 5*i - 108, 2*b - 106 = -4*i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3705 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 0*n + 7*n + (3*n - n - 4*n)*(-2 + 1 + 0) + (1 + 2*n - 1 - 2)*(119 - 57 + 211) to j + x*n and give x.\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 + 9*u + 12. Let r be y(-4). Suppose 0 = -0*t - t - 12. Let g be 45\/t + 18\/r. What is the closest to -2\/5 in -2\/7, -0.2, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 21 = -5*s, -7*s + 34 = -0*s + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*t**4 - 10*t**4 + 7*t**4 + (0*t**4 + t**4 - 2*t**4)*(-2 + 0 + 6).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14a6592 (base 12) to base 9.\nAnswer: 7811122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88403354419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.128 + 1.872. Let f = 47.6 - 48. What is the nearest to 0 in 0.5, -0.1, s, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d**5\/5 + 36*d**4\/5 - 92*d**3\/5 - 112*d**2\/5 + 2*d + 12\/5 = 0 for d.\nAnswer: -3, -1, -1\/3, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 2114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x + 15632 = 16332 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 3*w**3 + 3*w - 59 + 2*w - 3*w**2 + 10*w**4 + 116 in the form h*w**4 + g*w**3 + n*w + d*w**2 + k and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 609150236.39669 - 615093737.53169071. Let k = a + 5943501. Let q = k + 0.135. What is q rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2547372.12 to the nearest 100.\nAnswer: 2547400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32894 = -82*x - 20815 + 4263. Put 1, -6, x, 5 in increasing order.\nAnswer: x, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, u: 14}. What is prob of sequence udd?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 + (-51)\/9. Is 6 a factor of (-2)\/3*q + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhhh when four letters picked without replacement from hhffhhfhfffhhfhhhhht?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2. Let y(q) be the first derivative of 5\/2*q**2 - 4 + 0*q. Determine y(s(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.48 and 1127.861.\nAnswer: 2797.09528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803083 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47672, 95318, 142964, 190610, 238256?\n\"Answer: 47646*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5*l - 134 = -109, h = l - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(42))\/sqrt(6)*4.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u = 2*m - 6, -3*m - 2*u = -9. Suppose 379 = 2*s + m*w, 0*w - 558 = -3*s - w. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.81 - 15.81. Let n = -35 - -37. Which is the nearest to d? (a) -2 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) + ((-2223)\/36)\/(-13). What is the greatest common divisor of 21 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tatu when four letters picked without replacement from atbbaltubtbbubabbb?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 9*i - 9. Let f be x(-9). Let v be (-3)\/f + (-4)\/48. Factor 0*d + 0 - 1\/4*d**2 + v*d**4 + 0*d**3.\nAnswer: d**2*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -90, -171, -274, -411, -594, -835, -1146?\n\"Answer: -2*w**3 + w**2 - 70*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -25, 2*t + 3 + 18 = 3*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6721 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/20 - 5*v**4\/12 - 4*v**3\/3 + v**2\/2 + 58*v. Let s = 4 - 3. Let p be 2\/s + (1 - -3). Determine i(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 704079971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:00 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Let v(o) = -s*o**3 + 4*o - 6*o**3 + 6*o**2 + 9*o**3. Suppose 6*f - 3*f + 15 = 0. What is v(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {h: 1, o: 11}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984891 = 10463*c - 235*c - 204454 + 273047 for c.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 + 2861*j\/5 + 5726\/5.\nAnswer: -(j - 2863)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**5\/20 + 3*g**4\/4 + 3*g**3\/2 + 2*g**2 - 17*g. Give w(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515209 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-4))\/(-3) - 153\/(-102). Differentiate s*n + 25*n**3 - 8 - 10*n**3 + n - 5*n**3 wrt n.\nAnswer: 30*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 + 2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68944, -137623, -206040, -274195, -342088, -409719?\n\"Answer: 131*s**2 - 69072*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.163 - -89.837. Let h = 34 - l. Let k = -55.999835 - h. Round k to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/6*-1*0. Suppose -s + 16 = 3*b, -5*b + s + 0*s + 16 = m. What are the prime factors of ((-10)\/4)\/(b\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67393823 * -1.\nAnswer: -67393823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*f = 7239 + 4977 - 3684 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c**2 + 15*c + 7. Let t(u) = -6*u**2 + 8*u + 4. Suppose -44*n + 3101 = 3365. Determine n*w(x) + 11*t(x).\nAnswer: 6*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6402*t**2 + 317*t - 33. Let z be o(-17). Round z to the nearest ten thousand.\nAnswer: -1860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -2. Suppose 2*t = t + v. Are 2 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 32. Let s(k) be the second derivative of k**5\/20 - k**4\/3 - k**3\/2 + 2*k**2 - k. Give s(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-45) + 3)\/((-582)\/290 + 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 60 = 3*b. Let a = b - 7. Suppose 3*r - 5*i = 40, 3*i = 2*r + 10 - 37. What is the remainder when r is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 222, 0.4, 0.3 in ascending order.\nAnswer: -3, 0.3, 0.4, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*f = 17130008, 0 = -4*q + 5*f - 5965687 + 28805677. Round q to the nearest one hundred thousand.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let t be f(0). Solve t = 5*j - 3 - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + 5\/(10\/(-4)). Let m(h) = -h**2 + 10*h. Let i be m(d). Let j be i\/45 - (-2)\/(-3). Put 5, -1, j in descending order.\nAnswer: 5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 200.\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + 1.92. Let k = a - 4. Sort -0.3, 0, k.\nAnswer: k, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15102.1 * 0.4.\nAnswer: 6040.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3705.3459 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-2))\/(2\/(2 + 2)). Let f(a) = -6 - 1 - a**3 - 324*a**2 + 3*a + 629*a**2 - 308*a**2. Give f(v).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:10 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2\/9*s**3 - 4\/3 - 4\/3*s**2 - 22\/9*s = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 - -141. Suppose 3*q + o = 5*a - 42, -3*a = -5*q - 42. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c + 17. What is u(5)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -28.3 at most as big as 601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -24*b**2 - 10*b - 6. Let l(x) = x**2 + 1. Let k(m) = -6*l(m) - o(m). Find the second derivative of k(w) wrt w.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 6*d**2 - 8*d - 7. Let s be p(-7). Suppose -5*w + 22 - 7 = s. Suppose -w*k = -9*k. Solve k*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/123, 3\/4, 46.9, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*11460\/(-1528).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*y - 150 - 149 + 20*y - 41*y + 53 in the form i + z*y and give i.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 4 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8106\/97 = 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*h**3 + 17*h**3 + 1 - 71*h**3.\nAnswer: -127*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027919?\nAnswer: 3, 675973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rootrotorrtottrrotyr. What is prob of sequence ry?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 + 351*q - 2409. What is w(-94)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3\/5 + 1232*y**2 + 4730856*y\/5 - 19022112\/5 = 0.\nAnswer: -1542, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 13. Suppose -12 = -2*x - 2*l, 2*x + 3*l - n = 15. Let s(m) = m**2 - 2*m + 2. Give s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 - (0 + -5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17 and -7.9.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.94 times -3.729?\nAnswer: -7.23426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -4*l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -567, -1261, -2231?\nAnswer: -3477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yccccyccccccc. Give prob of picking 1 c and 2 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -3\/2, 0, -0.02, 4\/9, 55.\nAnswer: -3\/2, -2\/7, -0.02, 0, 4\/9, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2457587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.1267 + 0.0267. Let v = 15.61 + g. Which is smaller: 0.1 or v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.558319 to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/30*8)\/(-6)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 1:48 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -93*o + 63*o - 60. Which is the third biggest value? (a) 2 (b) o (c) 0.3 (d) 12.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = q + 18. Let k = -12 - q. Calculate the remainder when 44 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4, -16 - 264 = -4*h + 4*v. Suppose h = p - 633. Suppose -p = -6*m - 0*m. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c9c - -5?\nAnswer: -c97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 13*h**2\/2 - 2*h + 2. What is the tens digit of v(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {b: 2, q: 11}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2189.88712 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/11 - 228820*t**2\/11 - 457634*t\/11 - 228816\/11.\nAnswer: -2*(t + 1)**2*(t + 114408)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*a = -4*n + 20488, 2*n - 40962 = 3*a. Does 9 divide n\/324 - (2\/9)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*p**2 - 50 + 83 - 32)*(-2*p - 3*p + 6*p) + 6 + 13*p**3 - 54*p**3 - 5.\nAnswer: 44*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 + n**2 + 2*n**2)*(-1 + 2 + 2)*(-437*n - 20 + 18 - 251*n) to the form o*n**2 + k + s*n**3 + d*n and give s.\nAnswer: -4128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 + 138. Let r(i) = -i + 2. Let u be r(g). Which is the smallest value? (a) u (b) 1\/4 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 2 (c) -60740 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + 7 + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyzm when four letters picked without replacement from zzmvzzyyyyv.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-104*f + 456 - 456)*(-3 - 2 + 8) - 3*f - 3 + 3 in the form c + y*f and give y.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 5. Let w be f(-10). Let v be (2 - (-24)\/w)\/(4\/120). Suppose v = 11*z - 7*z. Solve -2*h = -h + z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -11007.\nAnswer: -1\/11007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 11*r**2 - 3 - 4*r**2 to f*r**2 + l*r + y and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -38416.3.\nAnswer: -7683.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6*t - 13*t - 9)*(-2*t**4 + t**4 - 3*t**4).\nAnswer: 28*t**5 + 36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320013.\nAnswer: 463, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eewwfjy. What is prob of picking 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -6. Let f(x) = x**2 - 3*x - 4. List the prime factors of f(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177397794.\nAnswer: 2, 3, 7, 19, 74101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 18 = -3*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11362 and 18278.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43808 and 20589760.\nAnswer: 20589760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 + 0*w**4 - 3*w**3 + 2*w**4 - 3*w**4 - 2*w**4 + 3*w**4 + (-4*w + 3*w + 5*w)*(-3*w**3 + 3*w - 3*w).\nAnswer: -12*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2))**(5\/7)\/(o**(2\/9)*o*o\/o**(-4)) assuming o is positive.\nAnswer: o**(-739\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323128?\nAnswer: 2, 165391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 + 2*y**2 - y**2. Let a(r) = 51*r. Let l(m) = -2*m - 4*m + m. Let i(p) = 2*a(p) + 21*l(p). Give o(i(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 873 and 441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002021 - 10?\nAnswer: 10002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1592 - -1127. Let u = 116 - c. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 0*k**3 - 2*k**2 + 0*k + 0 + 7\/24*k**4. Let b = -74 - -73. What is x(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 547657 - 547655. Factor 0*s**i + 1\/5*s**3 + 16\/5 - 12\/5*s.\nAnswer: (s - 2)**2*(s + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5869445 millilitres to litres.\nAnswer: 0.0005869445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.5, 72, -2\/9 in increasing order.\nAnswer: -0.5, -0.4, -2\/9, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 44*q**2 + 39*q**2 - 49915*q - 82*q**2.\nAnswer: q**2 - 49915*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 2*w**2 - 2*w**4 - 158*w**4 - 1863*w**4 - 243*w**4 + (0 - w**3 + 0)*(2*w - 6*w + 8*w) in the form l*w**2 + g + j*w**4 + c*w + a*w**3 and give j.\nAnswer: -2270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 0.0769.\nAnswer: 0.5769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -8. Let g = l + 1. Is g bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2. Let g(k) be the second derivative of 5*k**4\/6 - 12*k. What is g(m(n))?\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 - (93 - 117).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n + 9*n - 8*n.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15129 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 23.92294.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 4*l + 28, -6*i = -56*l + 58*l + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/167 + 2169\/334. Let v = 253\/3 + -85. Suppose -3 = 25*q + 22. What is the closest to q in f, -2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 4. Let y be l(2). Suppose -2*r = y*r. Solve r = j - 5*d + d - 16, -3*d - 35 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 725482909 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from {m: 1, t: 2, h: 4, x: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 277 times -1142\nAnswer: -316334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707928208.\nAnswer: 2, 13, 53, 64217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (4 + -2 - 3)*1. Let d be 3*(1 + 2\/6). Is a - (-132 - (-16)\/d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 0*d + 6*d)*(-3 - 3 + 2)*(-1 - 27*d + 9*d + 20*d) in the form x + y*d**2 + c*d and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 - (9 - 26) - 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21, -46, -69, -90?\n\"Answer: v**2 - 28*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.384 - 0.126. Let b = -0.11 - t. Let o be 8\/16 + 1\/(-3). What is the nearest to b in -1, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 48\/(4\/(-6)*(-18)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 8:18 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-10)\/(-12)*28\/(-42).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/14)\/(-4)*(-90)\/720*(-49)\/1127.\nAnswer: 1\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 10. Suppose 4 = 2*m - g. Calculate the remainder when 16 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 357\/2 - 182. Which is greater: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24c (base 16) to base 7.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.17 - -0.77. Let a be (-5)\/(-4) + 6\/(-4). What is the third biggest value in 0, a, 12, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 - 2*m - 1. Suppose 3*u = c - 49, 4*u - 5*u - 2*c - 21 = 0. Let a = -8 - u. Calculate the smallest common multiple of z(-1) and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6*-2 + -1. Let y(o) = -4 - v + 7*o + 7. Let c(s) = 10*s + 6. Let m(a) = 10*a + 5. Let u(t) = -4*c(t) + 5*m(t). Calculate 5*u(g) - 7*y(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179955 is divided by 11426.\nAnswer: 8565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**4 + 23 + 0*u**4 - 22 + u**2. Let o(c) = 10*c**4 + 7*c**2 + 9. Let b(d) = 14*f(d) - 2*o(d). What is the first derivative of b(g) wrt g?\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 1 b when three letters picked without replacement from {b: 1, c: 3, d: 3, a: 2, k: 10}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 6*k - 3. Suppose -3*c + 0*c + 5*n = -37, 13 = -3*c - 5*n. Let x be 4\/c*(1 + 10). Is b(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 3*s - 493 - 28 as x*s + w and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 787212 and 153069.\nAnswer: 5510484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 8:10 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Let f be w(2). Suppose -2*h + 104 = o + 4*o, f*h - 5*o = 238. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12280 = -591119*k + 591733*k for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2781128 by -4.\nAnswer: 695282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 23*r + 18*r + 8*r - 4 to m + u*r and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-12) + 1\/(-4). Let m = -211.4 - -51.2. Let w = m - -160. What is the closest to -1.1 in 1\/7, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 11 = -17. Let m(f) = f - 4. Let i be m(z). Let l = 1 - i. Which is bigger: -4\/7 or l?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from yhqjzvv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r + 115 = 4*q, -5*q = -5*r - 120. Let f be (-6)\/(-21) + (-215)\/(-7). Let k = f + r. Solve 3*g - k = -0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -500*l + 102551. Determine o(205).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 0.5, -22\/35, 8473, 2\/11, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37990485.\nAnswer: 3, 5, 13, 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 18*z - 16 = 0. Find the third derivative of 13*d**4 + 3*d**2 - 68*d**4 - 51*d**4 - 4*d**z + 0*d**2 - 82 wrt d.\nAnswer: -2544*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3 - 4*-1. Let d be 2 + 50*1\/a. What is the greatest common factor of 297 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**3 + 8*k**2 - 5*k + 5. Let w(y) = -5*y**3 - 7*y**2 + 4*y - 4. Let r = 286 + -238. Let a be r\/(-10) - 32\/(-40). What is a*l(z) - 5*w(z)?\nAnswer: z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -161692?\nAnswer: 161688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 85 + 124 = 0. Let z(j) = 188*j**2 - 90*j**2 - w - 88*j**2. Let s(y) = 21*y**2 - 7. What is -3*s(p) + 7*z(p)?\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 679*l**3*q*u**3 + l**3*q*u + l**3*u**3 - 33*l**2*q*u**3 + 2*l**2*u**3 + 13*l*q*u - 2*q wrt l?\nAnswer: 4074*q*u**3 + 6*q*u + 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 26*y + 105. Calculate c(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00190323 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 49838\nAnswer: 3\/49838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 68435493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (2 - (-10)\/(-15))\/((24\/(-471186))\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a - 4*a**2 + 4*a**2 + 2832*a**3 + 12*a.\nAnswer: 2832*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2) + 0)*-10. Let n = -4 - -5. Let x(j) = j**3 + 4*j**2 - 2*j - 1. Let z be x(-2). Solve y*a - z = -n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.884548 - -0.1?\nAnswer: -15.784548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)*d**(1\/8))\/((d\/((d\/(d\/d**(-4\/5)))\/d*d))\/((d**8\/d)\/d)) assuming d is positive.\nAnswer: d**(1637\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57 - 2e2?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92497268 is divided by 417?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -316, -1263, -2842, -5059, -7920, -11431, -15598, -20427?\n\"Answer: -y**3 - 310*y**2 - 10*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:06 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-243)\/(-66) + -3 + 4\/(-8)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -10*(-1)\/(-2). Suppose l + i*l = 3*l. Suppose l = -g + 3*g - 4. Which is the biggest value? (a) -3 (b) -4 (c) g (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444 and 592.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 11*m**2 + 9*m - 7. Let k be -4 - ((-45)\/5 - 6\/2). What is the tens digit of p(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnff when four letters picked without replacement from {f: 5, n: 3, p: 2, r: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185 + 317. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.3 (b) -0.38 (c) 2\/15 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.589026 seconds in hours?\nAnswer: 0.001830285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 229*q - 609. Does 45 divide v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 13 = -12*o. Suppose 9*n + 656 - 10898 = o. List the prime factors of n.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4879570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/9 and -44\/365.\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-4\/7)\/(j**(-2))**(4\/31) assuming j is positive.\nAnswer: j**(-68\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 50, 79, 120, 173?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*s**2 + 2*k*u - 9*k - 4041*s**2*u + 47*s**2 wrt u?\nAnswer: 2*k - 4041*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -2\/11, 4\/15?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*u + h = 416*u - 126, 0*u - 3*h - 1 = -3*u - 4*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 2*v**3 - 7 + 3 - 3 - 2*v**3 + (-v + 2*v + v)*(-2*v**2 + 0 + 0) - 6*v**3 + 4*v**3 + v**3 - v**3 + 0*v**2 + 0*v**2.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2104 is divided by 162.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032202 + -130?\nAnswer: -1032332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -4\/9, -7, -1\/5, -3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110010111100 (base 2) in base 16?\nAnswer: -dcbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from ssxsssbssyxzssk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 114 = -4*q + 326, -q = -4*j - 818. Which is the third biggest value? (a) -1 (b) -2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 31*c + 54. Determine d(15).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = -3*q. Suppose q = c - 28 + 63. Let j = -30 - c. What is the lowest common multiple of j and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2338623 or 2338624?\nAnswer: 2338623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 - 107. Put c, 0, 3, 0.5 in ascending order.\nAnswer: c, 0, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -g + 43. Suppose j = 3*h - 3*j - g, -3*h + 55 = -2*j. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**6\/3 - 53*n**5\/5 - 7*n**3 - 76. What is the third derivative of f(o) wrt o?\nAnswer: 120*o**2 - 1272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8813*u - 665732 = -57635 for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (4 + 1 + -2)) + -14 + 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(-1 + 4 + 1 + sqrt(7) + -5 + -3 + 2*sqrt(7) + 0 + -4))**2.\nAnswer: -30000*sqrt(7) + 79375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, 0, 4 in ascending order.\nAnswer: -11, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*l + 105, -4*b + 1137 - 997 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -1.1. Let m = -0.2 - -0.26. Let d = m - -0.04. What is the closest to t in 0, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 0 + 1 + sqrt(700))**2.\nAnswer: 42*sqrt(7) + 3088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + -4. Let x be q\/(-4)*28\/63. Find the second derivative of -2*p**3 - 3*p + 2*p**3 - x*p**3 wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*l + 79, -4*f - 3 + 4 = -l. Suppose 0 = 16*w - 21*w + l. Suppose 3 - w = -4*i. Sort 4, -5, 8, i in ascending order.\nAnswer: -5, i, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 11:20 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(136)*1)\/sqrt(8))**2*-4.\nAnswer: -168 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1665)\/74)\/(2\/20). Let f = -105 - o. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2\/6) - 1. Suppose 5 = 3*w - 5*w - c, -f*c - 10 = 0. Suppose 5*p - 4*m - 185 = w, p + m - 2*m = 37. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, w: 1, s: 1, n: 1, o: 5, k: 4}. Give prob of sequence osdn.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n + 2*n - 5*n to b*n + p and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:51 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*4 + -25 + 35\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -48, 1\/3, -20, -2, 2\/63 in descending order.\nAnswer: 1\/3, 2\/63, -0.4, -2, -20, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/281620797 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 12 + 2*1. Let o(w) = -4*w. Let a be o(-1). Suppose x = -a*x + 30. What is the highest common divisor of x and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*w**3 - 569*w + 33*w**3 + 568*w - 71*w**3 in the form j*w + y + l*w**3 + b*w**2 and give l.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 2 (c) 7\/12 (d) -1\/6 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -4*n + 8*a, -4 = -2*a. Sort n, 80, 0 in descending order.\nAnswer: 80, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 846673.1mm?\nAnswer: 84667.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 870 - 75. Let y be 11\/11 + 33 + 8. What is the highest common factor of y and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226483, -452966, -679449, -905932, -1132415?\nAnswer: -1358898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14333, -58625, -132425, -235727, -368525?\nAnswer: -530813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 102\/8 - 78\/104. Solve -p = 6*d - 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a factor of 16387044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 0 - 140\/(-7). Calculate the greatest common factor of l and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -2, 1\/4, 3 in decreasing order.\nAnswer: 3, 1\/4, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -212396.5378 + 212422. Let x = d - 25.5. What is x rounded to three decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:52 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(2 - (-1 - -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-9)*(-3)\/2)\/(-1). Let c = 47 + w. Suppose -n + 54 = 2*n. What is the highest common factor of c and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, r: 3, e: 2}. What is prob of picking 1 r and 2 e?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 45. Suppose 32 = -j*x + 14*x. Let o be 185\/(-110) - (-3)\/2. Which is the smallest value? (a) x (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18970, 10 in descending order.\nAnswer: 10, 3, -18970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -703554*-2\nAnswer: 1407108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.27 rounded to 0 decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 23644?\nAnswer: 23650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**3 - 18*o**2 + 103*o + 64. Let u be i(8). Are u and 4345 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34347743.\nAnswer: 34347743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1420 = -8*i. What is the units digit of i\/12 - 4\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*y**2 + 10*y**2 + 13*y**3 - 24*y**2)*(-2 + 0 + 1) + (-y**2 + y**2 + 2*y**2)*(-3*y - 3*y + 4*y).\nAnswer: -17*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.08 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 5*p + 4. Let n be j(-4). Let k be 2472 + 0 + (-20)\/(n + -3). What is the units digit of k\/28 - (-4)\/(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13538491?\nAnswer: 47, 288053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 292441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:39 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -8380172?\nAnswer: 1\/4190086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -278*o + 2076. Calculate the least common multiple of 90 and d(6).\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191 + -190. What is the units digit of 2258*8\/16 + l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99d69 (base 15) to base 6.\nAnswer: -14252000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or 478\/7?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 6*r + 3. Let g be y(-6). Let t = 9 + -5. Suppose -4 = -4*m, -t*m - 2 = -z - 1. Sort g, 2, z in increasing order.\nAnswer: 2, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*t - 4*g, g + 1 + 6 = 5*t. Let v(y) = 33*y**2 - y. Let z be v(t). Suppose 32 = 2*b - z. Solve -4*w = -5*p - b, 2*p + 8 = -0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(2\/9))**(11\/8)*(m\/((m*m*m**(-1)*m)\/m)*((m**5\/m)\/m)\/m)\/(m**(-5)*m*m*m**(3\/5)\/m) assuming m is positive.\nAnswer: m**(95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397?\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) + sqrt(22)\/sqrt(2) + -2)**2.\nAnswer: -8*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*16428.\nAnswer: -49284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-300)\/400)\/((-30)\/(-32))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -19712161 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 15) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -5. Suppose 52*s - 2947 + 659 = 0. What is the least common multiple of s and (-6)\/(v + -3) + 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54634 + -1043?\nAnswer: 53561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 1. Let k(g) = -175*g**2 + 3*g + 1. Let c(x) = -k(x) + 3*s(x). Let j be c(-3). Let b = j + -2543. Round b to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 48*g**2 + 13*g - 1. Is l(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 22*b - 24*b + 4*v, -6*b + b + 28*v - 40 = 23*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**5\/60 - m**3\/6 + 6*m**2. Let l(b) = -4*b**2 - 2*b - 3. Calculate 3*k(s) - l(s).\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 95)*(57\/(-9) + 3). Let o = p - -322. Solve s + v = 4, 5*s - 4*v - 6 = -o*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u - 2. Let s(o) = 9*o - 3. Let k(i) = 4*a(i) - 3*s(i). Calculate k(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68*((-234)\/(-12))\/13. Calculate the greatest common factor of 12 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 86 = 104. Calculate the remainder when q is divided by -3 + 2 - (-1 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {f: 3, u: 5, i: 1, z: 1, w: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19491364 to the nearest integer?\nAnswer: 4415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99207976 and 168.\nAnswer: 297623928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -222947?\nAnswer: 222948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519337825 is divided by 7330.\nAnswer: 7325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -12 - (-2 - 0)) + (-5 - -23 - 23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 640\/(-240)*(-4)\/(-16)*1*-2. Factor 16\/3 - 1\/3*r**4 + 0*r**2 - 16\/3*r + o*r**3.\nAnswer: -(r - 2)**3*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 23, 15, 7, -1, -9?\n\"Answer: -8*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21125 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**9\/1512 - o**5\/60 + 7*o**4\/12 + 3*o. Let u(p) be the third derivative of k(p). Find the first derivative of u(s) wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*j - 2, -8 = 5*j - b + 5*b. Suppose 0*s + 0 + 0*s**4 + j*s**2 + 2\/7*s**5 - 2\/7*s**3 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/21)\/4*588\/252?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 208*u + 8116. Let w be v(-39). Let l(m) = 16*m**2 - m. Let o be l(1). Solve -k - o = -w*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, s: 5, e: 5, w: 1}. Give prob of picking 1 s and 3 e.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2)\/(1\/(-4)). Let p = -2 + k. Solve p = -5*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/(-128))\/(9\/(-4)))\/((-10)\/15)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 1. Let f(w) = -4*w**2 - 6. Let y = -209 - -212. Let s be -3 + (15 - y) - 3. Determine s*t(g) + f(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6*2\/(-15))\/(2\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 50, 106, 182?\n\"Answer: 10*i**2 + 6*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (24 + 17) - -22?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/((z*z\/z**12)\/z*z))\/z**(-9))**(-28\/5))**(-17) assuming z is positive.\nAnswer: z**(9996\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.2. Let a = 0.57 - 0.36. Let f = a - 2.21. Sort f, n, -3.\nAnswer: -3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.1 + 0.1. Let d = 4.8 + x. Let s = 2.1 + -2. What is the closest to s in d, 0.5, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, -0.4, -3592, 1\/4, -0.6, 89?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 892*u**2 + 597*u - 298.\nAnswer: -(u - 298)*(u + 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 6 = -10*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53c5a (base 13) to base 7.\nAnswer: -1200455","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.23488 + -0.23488. Sort 0.4, d, 85\/2 in decreasing order.\nAnswer: 85\/2, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 - 18 = 3*p, 2*h = -p + 25. Suppose -31*b + 42 = 11. Suppose 0 = w - 6 + 2. Sort w, b, h in increasing order.\nAnswer: b, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 5*f**2 - 9*f - 15. Let b be j(-6). Suppose -b*a + 52 = a. Let t = 17 - a. Solve t*s + 24 = -2*x, 5*s + 25 = -4*x - 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18125735 divided by 3625147?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 48 = -6*c. Let h be 6\/c + (-4)\/(-8). Suppose h = -5*t + 2*i + 495 + 1251, 1748 = 5*t - i. What is t rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455374554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 310039286 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 89*y + 491. Give w(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.44334 + 0.05666. Put -81, -0.2, s in increasing order.\nAnswer: -81, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.04 + 54.96. Is o < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 30*l - 163. Let n be z(-8). Let i(m) = 868*m. Let u(v) = 13*v. Let t(q) = n*u(q) + 6*i(q). Let y(o) = -3*o. Determine y(t(w)).\nAnswer: 93*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41190 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: Let z = -144\/7 + 21. Which is greater: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 1 k when three letters picked without replacement from kwkkkkknnzzkknkkwnk.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 348542163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*u**3 - 36*u**3 + 19*u**3 - 1 in the form j*u + q*u**2 + k*u**3 + x and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**3 + 11*g**2 + 8*g + 13. Let s be n(-5). Is s at most as big as -627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 - 134*q - 2320 + 5*q**2 + 2320)*(0*q**2 + 0*q**2 - 3*q**3).\nAnswer: 3*q**5 + 402*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 5, -0.07, -5, -4\/9, 397.8, 1\/3, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.9311 take away -159246?\nAnswer: 159365.9311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = -f. Suppose 5*i + 26 = -4*m, -f*m - 14 = i + m. What is i rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2\/5 - 1983*d\/5 - 7692 = 0.\nAnswer: -641, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 less than -166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -59414 and -59425 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 672.934 * 0.5.\nAnswer: 336.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 7*z**2 - 2*z - 6. Let j be n(5). Let v = j + -31. Sort v, 4, -5.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102160 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11106*s**4 - 142*s**2 - 5?\nAnswer: -266544*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 11:49 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 1 - 1 + 1 to q*g + m and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 - (-2)\/(4\/6). Let h = 45 - b. Suppose p - 18 = 4*g, -4*p - 5*g + 112 = -g. Calculate the remainder when h is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - f - 2 = -2*f, -3*f = -x + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -74, 0, 4, 11, 1 in ascending order.\nAnswer: -74, -3, 0, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-51294)\/(-66) + 2\/(-11). Suppose -5*b = -2*b - k. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -45520?\nAnswer: -45525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*p = -218 + 33, 36*q - 4*p - 276 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x + 4. Let v(z) = z + 3. Let g(y) = -3*i(y) + 4*v(y). Let p be g(-5). What is the units digit of (-81)\/(-15) - 4\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018442 to 6 decimal places.\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101110 + -1?\nAnswer: 1011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-1)\/(0 - -1)). Let m be ((-26)\/(-4) - r)*-2. Let n(p) = -p**3 - 10*p**2 + 7*p - 12. Is n(m) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-452)\/(-14) - (-20)\/(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 v, and 1 u when three letters picked without replacement from vrvuvvhrvkuurvr?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3086*v**3 + 3456 - 3456.\nAnswer: -3086*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 7*v = -1755. Let p = v - 161. Suppose 3*r = 4*c + 287, 0 = -r - r + 4*c + p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/21*13\/(-52).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144454 is divided by 481.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.5. Suppose 137*t + 3*b = 139*t + 33, t = 4*b - 24. What is the closest to -1 in -3\/8, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -814483352 at least as big as -814483351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 550050.3ml?\nAnswer: 550.0503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 7*t**2 - 7*t + 5. Let y be f(6). What is the common denominator of (66\/(-8))\/((-49)\/(-28)) and y + 2\/4*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -0.5 (c) 121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 23 - 5 = 0. Let c be (-8080)\/(-100) + (-18)\/(-15). What is the greatest common factor of c and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, -2, 3\/4, 2.\nAnswer: -2, -0.2, 3\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(304) - sqrt(304)*-3).\nAnswer: -2 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 236647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -277 * 0.5\nAnswer: -138.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2. Let m be (-1690)\/(-104) - (-5)\/(-4). Let v(x) = -m*x + 13*x + 20*x. Determine o(v(z)).\nAnswer: 1296*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32665043 is divided by 51.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-18)\/(d\/d**(-2\/11)))**(2\/9))**(-25\/2) assuming d is positive.\nAnswer: d**(5275\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/17, -1, 3819, 3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -142.1 times 184.3\nAnswer: -26189.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 5*i**2 + 65*i + 38. Let v be x(-6). Which is the second biggest value? (a) 2 (b) 9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -523 - 5*b**2 + 523 + 3*b**2. Let t(g) = -112*g - 17. Let j(x) = 168*x + 24. Let a(m) = -5*j(m) - 7*t(m). What is a(k(p))?\nAnswer: 112*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807 = 84*z - 22*z - 3659. Solve 0 = q - z + 42 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45678.\nAnswer: 2, 3, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6501422 (base 8) in base 4?\nAnswer: 12220030102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 11*n**2\/2 - 17*n + 1. Suppose 357*u = 328*u + 203. Let m be z(u). What is m rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 24 + 3 = 0. Let h = 9 + n. Solve -x - h*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 - 2935661?\nAnswer: -2935838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6362, 12722, 19080, 25436?\nAnswer: 31790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, b: 1, d: 2, c: 1}. Give prob of picking 1 c and 2 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*v - 3*v - 38*v)*(4 - 4 - 3*v)*(1 + 2 - 4).\nAnswer: -216*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8731 in 3, -3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.263 + -0.3. Let x = w + 0.037. Sort -3, -2\/15, 1\/6, x in descending order.\nAnswer: x, 1\/6, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 3*c - 11, 28*y = 30*y - 14*c + 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -f + 6*f + 16, 3*f = -u - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2442080 less than 285044?\nAnswer: 2727124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 193 + -207 + 23 + 1 + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113110822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39639 and 52852.\nAnswer: 158556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - 6*o**3 - 3*o**3 + 0*o + (-2*o - o + o)*(0 - 6*o**2 + 0)*(-118 + 20 - 31).\nAnswer: -1557*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 1.9. Let v = -42\/11 - -221\/55. Let h = -1\/98 - 13\/98. Which is the nearest to f? (a) v (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.2, -2, 158, 319.8, 2 in ascending order.\nAnswer: -4, -2, -0.2, 2, 158, 319.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351920110?\nAnswer: 2, 5, 181, 194431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5 - 852*j**4 + 90730*j**3 + 3408*j**2 - 362952*j = 0.\nAnswer: -2, 0, 2, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1406, -1427, -1448, -1469?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3297.9692 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 169, 0.4 in descending order.\nAnswer: 169, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 4*j - 3. Let u be i(4). Suppose 7*q + 3 = u. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:09 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(-9)\/m)\/m)*m**2\/m)**45*(m\/(m\/m**0*m*m))**(21\/4)\/(m\/((m*m**(-3))\/m*m)*m\/m**(-3\/2)) assuming m is positive.\nAnswer: m**524","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + (sqrt(128) - (sqrt(128) + -1*sqrt(128))*-4))\/((1*sqrt(700))\/sqrt(7))*6)**2*-3.\nAnswer: -13824\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*n - 207 = 0, 3*b - 4*n = n + 207. Let h = b + -47. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -1 - (105 - 42) - -33.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5089152 by 6.\nAnswer: 848192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32890302 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (7 - (21 + -20))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmlmmslmmm. Give prob of picking 1 m and 2 l.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 5, g: 7}. Give prob of sequence ngn.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.8341ng to tonnes.\nAnswer: 0.0000000000000418341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - ((-1)\/(-2) + 62\/(-4)). Suppose k = 5*u + 2 + 5, q = 5*k - 2*u. Solve -k = -t + 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 7*z**2 - 6*z + 3. Give a(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-10))\/((-6)\/20). Suppose -4*j + 2*x = -14, -4*x - 21 = w*j - 5*j. Is 1 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8949, -546, 2, 0, 5 in decreasing order.\nAnswer: 5, 2, 0, -546, -8949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(-3 + (sqrt(10)\/(-2*sqrt(5)) - sqrt(2)))*3)**2.\nAnswer: -2916 - 1944*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2. Let v(x) be the third derivative of 23*x**4\/24 - 3*x**3\/2 + 62*x**2. Let q(c) = -46*c + 15. Let s(h) = 3*q(h) + 5*v(h). What is o(s(p))?\nAnswer: -2645*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuwld. What is prob of sequence ln?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 0*u + 50\/9*u**4 + 8\/9*u**2 + 0 - 40\/9*u**3 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 t when four letters picked without replacement from agtatugug.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/9 (b) -3 (c) 34\/11 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6951, 8736, 10521?\nAnswer: 12306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-253)\/154 - 1\/(-7). What is the smallest value in -3, 8, m, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151200 and 2244375?\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -12.06. Let k = z - 0.06. Let t = 0.52 + k. Which is the nearest to 1\/2? (a) -1\/4 (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + u**2 + 2. Let i(r) be the second derivative of -r**5\/10 - r**4\/12 - r**2 - 7*r. Calculate -2*i(k) - 3*z(k).\nAnswer: -2*k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 116 = -14*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - s**4 + s**4 + (2*s**3 + s**2 - s**2)*(0*s + 2*s - s))*(-4*s + 0*s + 3*s) - 2*s**5 - 3*s**5 - 5*s**5.\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5))**(-18\/7)\/(u\/(u**(-5\/4)\/u)*u**(1\/5)))**19 assuming u is positive.\nAnswer: u**(-6441\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 - (7 + -11 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*w**2*z**3 - w**2 - 69*w*z**3 - 2*z**3 wrt w.\nAnswer: -14*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.8318.\nAnswer: 0.33272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*n - 549, 4*n = 5*w - w - 712. Suppose -3*k = w + 251. Round k to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - 1 - (-68 + 63) - (52 + -1).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8734 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -22. Let f = c - -2. What are the prime factors of 8\/3*(f - -24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5 - 108*r**4 - 1000*r**3 - 2372*r**2 - 2166*r - 688.\nAnswer: -2*(r + 1)**3*(r + 8)*(r + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-22))\/(-7)*-1*11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than or equal to -1.1094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427576852?\nAnswer: 2, 13, 29, 946669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 12*v = 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 43*i + 3997. What is t(88)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13653 and 1961?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7 + 23*x**2 - x**2 - 5*x**2 - 2*x. Is 6 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 43, 50, 47, 34?\n\"Answer: -5*g**2 + 32*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109238661?\nAnswer: 3, 7, 23, 75389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, 5, 1.\nAnswer: 0, 1, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0 + 0*b**2 - 1\/20*b**5 + 25\/18*b**3 + 65*b - 37\/18*b**4. Factor w(s).\nAnswer: -s*(s + 25)*(3*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16 and -5153817.\nAnswer: -5153833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + k**2 + k + 5 - 6.\nAnswer: k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37963609 and 1169?\nAnswer: 265745263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 73 = a, 2*a = 6*j - 3*j - 48. Calculate the lowest common multiple of 2*(-7)\/(j\/(-8)) and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -305 - 303 - 882*b + 608 as k*b + p and give k.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3749)\/(-253) + (-4)\/(-22). Solve f = -2*f + q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 2, o: 4, v: 4}. Give prob of sequence ff.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d + 2*p + 442 = 0, d = 5*p + 70. Is d a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7 + 4*c**2 + 3 - 2*c**3 to b*c + n*c**2 + g + j*c**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0552888 rounded to four dps?\nAnswer: 0.0553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 2. Suppose 0*m = 11*m - 506. Let d = m + -79. Let x(z) = 81*z + 33. Give d*h(t) - 2*x(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(19\/190).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33100 (base 9) to base 7.\nAnswer: 120666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 50, 75?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3097 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 7*r + 284 = -m + 3*r + 245, -m - 12*r - 147 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.64 + 0.04. Let j = t + 6.6102. Round j to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 - 2. Let y(x) = 8*x**2 + 3. Give -2*y(m) - 3*z(m).\nAnswer: -3*m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**2 - 30*a**2 + a**2 - 3*a**2 + 4*a**2 + 2 - 1 + (a + 0 + 0)*(62*a + 46*a - 7*a) as j + w*a + o*a**2 and give o.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 2*w + w**2)*(w - 3 + 3) + 3801 + 1540*w**3 - 3811 + 156*w**3 - 306*w**3 in the form t*w + v + m*w**3 + x*w**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1123391095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13934*i + 4904*i - 10185*i.\nAnswer: -19215*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37126.052 + 37126. Which is the smallest value? (a) 50 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 1, t: 5, v: 2}. Give prob of picking 1 u and 1 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 179*q**2 + 605*q - 10717. Determine n(182).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(351) - (sqrt(351) + -2*(sqrt(351) - -2*sqrt(351)))) + sqrt(351))*6)\/((sqrt(363) + (sqrt(363) - sqrt(363)*3)*5)*-2).\nAnswer: 7*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17 and (-26)\/(-14) + 22\/154.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -880143, -880154, -880167, -880182?\nAnswer: -880199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21448*j**4 - j**2 + 2400*j + 2 wrt j.\nAnswer: 514752*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000694792 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 2*k - 4. Determine u(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 236716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83235*u**2*x**2 - 22601509*u**2 - 140*u*x**3 with respect to x.\nAnswer: -166470*u**2*x - 420*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l - l + 0*l)*(102*l + 7870 - 7870) - 2*l**2 + 2*l**2 - 2*l**2 as f*l + h*l**2 + n and give h.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/g**(-4\/7)))*g*g*g**(2\/7))\/(g\/(g**(2\/5)\/g)*(g\/g**(2\/7)*g)\/g*g))**(-2\/33) assuming g is positive.\nAnswer: g**(-38\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/3312*12*5\/40\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.1 + -0.1. Let b = -359\/2 + 2509\/14. Sort c, b, 2\/7 in ascending order.\nAnswer: b, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.73379 nanoseconds in minutes?\nAnswer: 0.0000000042288965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n + 31. Let g be d(-4). Solve -76*x**2 - 4*x**3 + 2*x**3 - 22*x**2 + 50 - 7*x**g - 230*x - x**3 = 0 for x.\nAnswer: -5, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d**2 - 9*d - 7. Let m be j(-3). Suppose -4*x = t + m*t - 1, -4*x - 23 = -5*t. Let l = 34 - 24. Solve -t*y - 2*y = -l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -151 - 3241?\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 9:31 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -81550, -649888, -2192518, -5196586, -10149238, -17537620, -27848878, -41570158?\n\"Answer: -81191*m**3 - m - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*d - 34, d = 4*n + 2*d - 25. Let g(l) be the third derivative of 1\/120*l**6 + 0*l - 1\/6*l**4 + 12*l**2 + 3\/2*l**3 + 0 - 1\/10*l**5. Give g(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 1. Let o(f) = f + 7. What is -4*c(s) - o(s)?\nAnswer: 7*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 147366 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z - 1. Let k(n) = 60*n + 4. Let t(a) = 4*h(a) + k(a). Let s(b) = -b + 2. What is s(t(l))?\nAnswer: -8*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (240\/1100)\/((-552)\/6440)\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -317*q**2 - 2 + q + 41*q**2 + 3. Let t be m(-1). Let l = -188 - t. Calculate the highest common divisor of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*l - 792. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753279?\nAnswer: 3, 193, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/3 - 16*z**4\/3 + 26*z**3\/3 + 52*z**2\/3 - 128*z\/3 + 64\/3 = 0. What is z?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4821048 and 18?\nAnswer: 4821048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*g*s**5 + 71*g*s - 44730*s**5 + 139635*s wrt s.\nAnswer: 1480*g*s**3 - 894600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = k - g, -4*k - 2*g + 6 = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 62*w**2 - w + 150. Let h(y) = -62*y**2 + y - 101. Give 2*c(x) + 3*h(x).\nAnswer: -62*x**2 + x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5. Suppose j = -r + 340 + 672. Suppose -5*s - 541 = 5*k - 3026, 2*s - r = 4*k. What is s rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and 140.\nAnswer: -5320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q - 9. Suppose 0 = -3*l + q*r + 10 + 2, 5*l - r = 36. Solve 2*a - 2 = -l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.718 to 1 dp.\nAnswer: -28.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y**2 + y + 1. Let w be f(-1). Let i = -10 - w. Solve -3*d - s = -0*s + 1, -i*d - 5 = 5*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41110 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 343 and 1197.\nAnswer: 410571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2580\/(-72))\/(-43)*3\/70\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*h = -2*a + 6683, a - 3*h + 6699 = 0. What is a rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 0)\/(6\/(-4)). Let m = -9 + l. Let h = m - -12. Which is bigger: h or 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - 10) + (4 - -1 - 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**4\/34 - 10*j**3\/51 - 7*j**2\/17 - 6*j\/17 - 29. Solve d(a) = 0 for a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n - 1. Let y be f(1). Suppose 685 = -y*a + 5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*v = -6*h + 4, -2*h = v - 4. Suppose 2*p - 210900 = -3*i, -h*p + 210900 = 3*i + 2*p. What is i rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-52)\/(-14) + 4\/14. Suppose 6*y = y + 30. Let k = y + -5. Calculate the highest common factor of k and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20082 = -92*p - 23210 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**9\/378 - w**6\/45 + w**3 + 2*w**2. Let i(f) be the first derivative of s(f). What is the third derivative of i(t) wrt t?\nAnswer: -480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 369630.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25549 + -10113. What are the prime factors of o?\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6677 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 845, 3280, 7307, 12926, 20137, 28940?\n\"Answer: 796*d**2 + 47*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124100 and 4789019?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 193312 and 44800?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -321.\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2013606516 - -3?\nAnswer: -2013606513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 18*m**2 + 53*m + 160. Let q be z(13). Put -1, 81, q, -5 in ascending order.\nAnswer: -5, -1, q, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:14 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -309 (b) 2\/9 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 10:05 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 147?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4416131*g**4 + 4097951*g wrt g?\nAnswer: -52993572*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - -3.03. Suppose 57*i = 20267 - 19982. Let x = -1 - -1.1. Which is the third smallest value? (a) -0.3 (b) n (c) i (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdxh. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - -0.5. Let v be 82 - 86 - (-3)\/(-6)*(-3 + 3). Let h = -832\/5 + 167. What is the closest to 2 in h, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 w when four letters picked without replacement from vwwwvvwwvvvv.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(-1*sqrt(490) - sqrt(490)).\nAnswer: -sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65620 and 19874368?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 + -128.1. Let b = -8 + x. Let a = b + -2.8987. Round a to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-45)\/27*(2 + 1). Let z be 0\/(-2*(-2 - -3)). Let g = z + s. Put g, 1, -3 in decreasing order.\nAnswer: 1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.00463888 to 1 decimal place.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 53, -92, -437, -1048, -1991?\nAnswer: -3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(2299) + sqrt(2299))**2.\nAnswer: 88*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.8 + 19. Let b = j + 8. Let z = 3.8017 + b. What is z rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*2\/4 + (-10)\/20. Solve a = n + i - 10, 3*n = a + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3768 and 0.4.\nAnswer: -3767.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-8)\/(-517248) - 0) + 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + (-48)\/17)*4\/6. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*f = 2*f + 346, -5*f - 529 = -3*x. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915374.2 kilograms to grams.\nAnswer: 915374200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 1945 - 983 = 974 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**5 + 56*t**4 - 256*t**3 + 456*t**2 - 252*t = 0?\nAnswer: 0, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - -2.3. Let y = -3.1 + b. Let r be (-4277)\/637 + (-1 - -8). Put y, -3, r in descending order.\nAnswer: r, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.021946 + -3.021946. Let v = -0.34 - -0.4. Let p = 15 + -61\/4. Which is the fourth smallest value? (a) p (b) v (c) 0 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4700 and 3275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:10 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11608 - 58?\nAnswer: -11664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12*325\/4680*9\/(-5)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1666?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -220620, -220629, -220638?\n\"Answer: -9*v - 220611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + i**2)*(-2*i - 2 + 2) + 2*i**3 - 5*i**3 + 4*i**3 + (-43 + 30 + 28)*(-i**3 + 0*i**3 + 0*i**3).\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**7\/210 + 7*q**6\/150 - 17*q**5\/100 - 83*q**4\/60 - 46*q**3\/15 - 16*q**2\/5 - 132*q. Suppose c(o) = 0. Calculate o.\nAnswer: -8, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 105\/49 - (-145)\/35. Solve 0 = -7*k - f + 39 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b = -16. Suppose -j + 11 = 4*z, -3*j = z - j - b. Suppose -58 = -z*a + 84. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**8\/672 + g**7\/420 + g**6\/240 - g**5\/120 - 740*g**2. Factor c(m).\nAnswer: -m**2*(m - 1)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1466487 divided by -18?\nAnswer: 162943\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 10*r + 21. Let d be a(-8). Calculate the greatest common divisor of d and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 5*b**3 - 286*b**4 + 558*b**4 - 275*b**4 + 2*b - 2*b**2 to the form s*b + n*b**3 + j + x*b**4 + k*b**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 1 + (-5)\/(30\/132). Which is bigger: -162\/7 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1820, -7, -1223 in decreasing order.\nAnswer: 1820, -7, -1223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 330934*h + 430471?\nAnswer: 330934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2635 + 2636. Let j = -0.02 - -0.42. Which is the fourth smallest value? (a) -0.4 (b) m (c) j (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 440 * 132.6.\nAnswer: 58344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7 = 4*y, -4*y = -9*y - 5*b + 40. Solve 0*i + y*i = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/((-4)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*sqrt(288))**2 + sqrt(288)).\nAnswer: 36*sqrt(2) + 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478004, -478001, -477998, -477995?\nAnswer: -477992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujuliiiujh. Give prob of picking 1 i, 1 h, and 1 l.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3458418700 to the nearest integer?\nAnswer: 58808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22602 or -22628?\nAnswer: -22628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzzgzzzklzzgkklzz. Give prob of picking 1 k and 3 z.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -2, -12, -38, -86, -162?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k - 406 = -68 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4582788 and 0.9.\nAnswer: 4124509.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 0 + 0*b**3 + 8*b**2 - 2\/105*b**7 + 0*b**6 + 2\/15*b**5 + 0*b**4 + 0*b. Find the third derivative of l(p) wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 7 - 8 + 13 + (2*g - 2*g + 2*g)*(37*g**2 + g**2 - 15*g**2).\nAnswer: 47*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2036326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*l**3 + 2*l**3 - 4*l**3)*(l - 3 + 3) - l**4 - l**4 - l**4 - 2*l**4 + 2*l**2 - 2*l**2)*(8*l - 6*l + 3*l - 3).\nAnswer: -35*l**5 + 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 5*v - 2 + 6, -4*v = -3*p - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 + 2462.2078?\nAnswer: 2334.2078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17958022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 51, 66, 81, 96?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106.14 - -105. Let t = -0.14 - w. Is t less than 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8196408 divided by -237?\nAnswer: -34584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(2\/11))\/(n\/n**(3\/7)))**18)**(-21) assuming n is positive.\nAnswer: n**(-1026\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**5\/20 + 7*x**4\/24 - 11*x**3\/2 + 8*x**2 + x. Is 10 a factor of o(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1979.4872 < -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 12 + 12*x**2 + 4*x + 0*x - 2*x - x**3. Let d be r(11). Let p = -107 + d. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103324491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -340 - -486. What is the remainder when v is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + k - 192 = -9, -2*x - 5*k = -363. Let p(m) = -18*m**2 + 5. Let c(b) = -667*b**2 + 184. What is x*p(a) - 5*c(a)?\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 27 (c) -6 (d) -7 (e) -5 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3, -2*t - t - d - 6 = 0. Let j = 2 - t. Suppose 0 = -0*u + j*u - 51. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 994.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/277907 and -34\/27405.\nAnswer: 37517445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/6 (b) -0.15 (c) -304 (d) 4 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 209, 279, 331, 359, 357, 319, 239?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (8 - (6 - 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-2) + 1 + (14 - 17). Let s(l) = -14*l - 390. Let z be s(-28). Solve -3*h - 4 = 3*i + o*i, 2*h = -4*i - z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.355 - 0.3938. Let d = j - 0.0512. What is the second smallest value in -1\/4, 3, -3, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2495 - 3?\nAnswer: 2492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-18))\/(-1)*((-66)\/20)\/((-138)\/(-115)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 7 + (-8 - 18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -1 - (86 - 77)) + -21.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -16 + (-10250)\/350 + 13 + 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/((-67)\/(-536))*12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*t + 2*k - 0*k, 2*k = -5*t - 24 + 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -14. Let x be (102\/(-8))\/(3\/(-12)). What is the highest common divisor of i and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.2. Let g = 24810 + -24780. Sort r, g, 2, -2\/21 in decreasing order.\nAnswer: g, 2, r, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1515 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1762, -3474, -5144, -6772, -8358, -9902?\n\"Answer: 21*y**2 - 1775*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53930 rounded to the nearest 1000?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 30 = -3*b. Suppose -60*a + 70*a = -20. Is (-11)\/a - 9\/b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*d = 86*d + 15. Let w(f) = 321*f + 52. Is w(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 2*l**2 - l - 4*l**2)*(25 - 13 - 14) to i + h*l + c*l**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -12 + 49 - 13 + l**2 + 12*l - 18 + 0*l**2. Calculate w(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) + 1 + sqrt(847) + 2)**2) + -2 + ((-2*sqrt(847) + -5 + sqrt(847))*4)**2.\nAnswer: 1639*sqrt(7) + 10553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q - 2. Let c be w(1). Suppose 0 = c*x - x - y + 831, -y = -x - 414. Let d = x + 1030. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.105.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwkkzkkw. What is prob of sequence wziw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = -4*q + 3*x, -3*q = -4*x - 22. Let u be (q\/(-4))\/((-7)\/56). Suppose 0 = 2*h + 2*s - 24, 0 + 4 = -u*s. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1972 and 204?\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, -3, -4\/677 in ascending order.\nAnswer: -10, -3, -4\/677, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + i + 7, 7 = -2*k + 3*i - 0. Suppose w - k = -w. What is the remainder when 5 is divided by 6\/(1 + w) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(40)\/sqrt(2))**2 + -5 + -3 + (5*1*sqrt(2880))**2)*-6.\nAnswer: -432067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 168 = -o. Let c be 2*(o\/8)\/(-7). Suppose -3*x = 3*q - 0 + c, 5*q - 3*x = 27. Calculate the highest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6320 and 33970.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1040 and 168600?\nAnswer: 4383600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33760 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/132*1\/(4\/16)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = -2*r + 5*s, -2 = -3*r + 4*s. Suppose r*v - 6 = 34. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-13\/2)\/(d**(-33)*d))**(-2\/23) assuming d is positive.\nAnswer: d**(-51\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 700*f - 704.\nAnswer: 4*(f - 176)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b - 1. Let m be z(1). Let q be (-8 + -2)\/(2 + 12\/(-4)). What is the highest common factor of q and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 3504.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*h = 0, 3*v - 3 = -5*h + 1. Suppose -v*j + 8 = -4*j. Suppose -3*y - 3147 = -5*q - 2*y, y + j = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + 31. Suppose c - 43 = u. Solve -3*v - 2*z = -8*v + 9, -u*z = 3*v - 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/10*(-4)\/(-6). Let j be 887411\/63 + i\/2. Let v = 14090 - j. Find the common denominator of 35\/16 and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oggjxxgxzjgxxjgxa. Give prob of sequence joxj.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2275*x**2. Let k(s) = 31715*s - 2. Determine k(f(u)).\nAnswer: -72151625*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -30*a - 32. Let f be s(-20). Suppose -5*x - 566 = -i, 3*x + f = i - 0*x. Is 35 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, n: 7}. What is prob of sequence wwwn?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3 - 12*g**5 - 77*g**2 + 18*g**5 - 106*g**2 + 103*g**5 - 132*g**2 wrt g?\nAnswer: 6540*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-52 + 14 - 24)*(-1 + 3 - 4) + (0 + 1 - 3)*(-2 + 1 - 1) - 4 + 5 - 3)*(0 + 0 - 2*w).\nAnswer: -252*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 157709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -177, -309, -425, -519, -585?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148896 by -49632.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 4*i + 6. Suppose 6 = 5*l - 4*l. What is y(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113232 (base 5) in base 11?\nAnswer: -3171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10790 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 214 and 1819?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644 = -8*k + 7*d, -14159*k - 5*d = -14154*k - 365 for k.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -7, -5, 0.014, 2\/21?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-8)\/(-24) + (-180)\/(-150). Factor -1\/5*l + 1\/5 - 1\/5*l**2 + r*l**3.\nAnswer: (l - 1)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 0*t - 2*t - 9*t + 0*t. Let h(a) = 4*a + 6. Let j(s) = -9*s - 13. Let c(n) = -13*h(n) - 6*j(n). Calculate c(w(d)).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8310 + -8255. What is the smallest common multiple of (-4)\/14 - (-1056)\/21 and d?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 times -0.5?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -54. Which is the closest to k? (a) 4 (b) -2\/9 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/13 + 991966*d\/13 + 457836 = 0.\nAnswer: -6, 495989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 190 - 5096?\nAnswer: -4a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2. Let j(x) = -13*x. Calculate j(g(b)).\nAnswer: 65*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187696972?\nAnswer: 2, 7, 11, 29, 132971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = 2*a, -5*r = 8 + 2. Let f = a - 0. Solve 4*l - l + 6 = f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729*i + 459*i - 1191*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 18*x**2 + 36*x - 72. Let i be s(-20). Solve -9*p + p = i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 6940 = -9*q - 13*q. What is the remainder when q is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 17*o**4 - 2*o**3 - 47*o - 2. Let d(r) = 16*r**4 - 3*r**3 - 46*r - 3. Let a(i) = 2*d(i) - 3*v(i). Find the second derivative of a(k) wrt k.\nAnswer: -228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/45 + (32\/(-35) - -1). Which is the fourth smallest value? (a) -20 (b) 0.4 (c) -1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 592799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 2, -10, 21 in increasing order.\nAnswer: -10, -5, -3, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40407 - 73415. What is y rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 146 - 103. Let k = 10 + -8. Is c + (k - (2 - -2)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -37, 2, -27, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2186403?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*o - 46, 1 = 2*s - o + 26. Let b = -37 - -36.6. What is the third biggest value in b, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 65, 38, -33, -172, -403?\n\"Answer: -4*o**3 + 2*o**2 - 5*o + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - 2*j**5 + 0*j + (1 + 1 - 4)*(-14*j**5 + 2*j**5 + 5*j**5)*(4 + 0 - 5).\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:29 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -28*h. Let f(o) = -12052*o**2. Calculate i(f(z)).\nAnswer: 337456*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*d + 3504 = -4437 + 1761 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 301*s**6\/120 + 233*s**5\/60 + s**4\/12 - 415*s**2. What is the third derivative of b(v) wrt v?\nAnswer: 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108573915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-3)\/81*-3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 326 + -250. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2161.4 + -2355. Let u = -194 - s. Let h = -166\/21 + 46\/7. Which is the third smallest value? (a) h (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/63 (b) 3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Let g be (-4 - 1)\/(m\/(-32)). Suppose t = y + 3*y - 32, 0 = 5*y + 5*t - g. Solve -o + 6 = -4*r, -4*o = 3*r + 6 + y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 18.87. Let d = c + -0.37. Let x(f) = -f**2 - 3*f + 5. Let l be x(-5). Sort 2\/3, d, l in descending order.\nAnswer: 2\/3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 20, -69 = -3*l + 2*j + j. Calculate the smallest common multiple of l\/4 + -4*(-4)\/64 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4338 - -2.56656?\nAnswer: -5.86724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 - (-4 + (-27 - -23 - 19)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13164 + 0.06836. What is the closest to v in 1, -21, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*u + 272, -3*g + 174 = -2*u + 5*u. Let l = -23 + u. Let m be ((-3)\/(-6))\/((-1)\/(-14)). Solve 5*j + 2*p = m*p - l, 5*p = 4*j + 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.953908 from 9.\nAnswer: 8.046092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4604 + -1568. What is the least common multiple of u and 828?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 42*x - 24353. Let t(o) = -2*o. What is k(t(z))?\nAnswer: -84*z - 24353","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwfwtdwk. Give prob of picking 1 w and 1 d.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -65*x**3 + 8*x**2 - 20*x - 86. What is the units digit of h(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172548619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 2\/15, -8 in descending order.\nAnswer: 0.8, 2\/15, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/4)\/i)**2 assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 25 = 2*s + m, -4*m - 13 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9043.725527 to 0 dps.\nAnswer: -9044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221955413?\nAnswer: 181, 311, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 plus -317.25?\nAnswer: 541.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*l - 152*l = 12*l + 2340 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzzzzzuzuzz. What is prob of sequence uuz?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**2 - 3*m + 25. Calculate a(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5202 and 6256.\nAnswer: 957168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 374200320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 709.4029l?\nAnswer: 709402.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) + sqrt(1440)*-3 + sqrt(1440) - sqrt(1440) - sqrt(1440) - sqrt(1440))\/(sqrt(5) - sqrt(25)\/sqrt(20)).\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/60 and -21\/11402?\nAnswer: 342060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k + 69. Let v = k + 38. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19744003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**4 - 9001*b**3 + 2*b**2 - 2428*b wrt b?\nAnswer: -12*b**2 - 54006*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -6. Let g = -13446 + 13445.8. Put x, g, -4, 1 in descending order.\nAnswer: 1, g, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -669\/979 + -12\/89. Let m(h) = h**2 + 1. Let n be m(1). Suppose n*p + 5 - 1 = 0. Which is bigger: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 f when three letters picked without replacement from {f: 17, d: 3}?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 2202944*o + 24231900.\nAnswer: 4*(o + 11)*(o + 550725)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.3. Let d = 332 - 332. Let m = 2 + -7. What is the closest to i in 4, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 10 - 26)*(0 - 2 + 4)*(-4*i - i - 5*i).\nAnswer: 600*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6654.\nAnswer: 2, 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*l + 5*f - 25, 0 = -2*f. Let s(d) = -2*d**3 - 7*d**2 - 5*d + 5. Let x(p) = -p**3 - 6*p**2 - 4*p + 4. Determine l*s(v) - 5*x(v).\nAnswer: -3*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let i = -313.225 - -318.225. Put g, 0, -1\/10, i in decreasing order.\nAnswer: i, g, 0, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.724 rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 - 8.1. Let j = 9 + u. Let a = j - 3.00099. What is a rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + -4 - -13) + 9 + 10 + -103.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -61 + (21 - 40 - -56)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 255821212194.\nAnswer: -255821212190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 11703987871034?\nAnswer: 11703987871033.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**4 - 96*q**3 - 176*q**2 = 0?\nAnswer: -22, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a51 + -1b?\nAnswer: -a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (557 + 23388 - 115014 + 41901)*(-c + c + c**4) to q*c**2 + f*c**3 + u*c + y + j*c**4 and give j.\nAnswer: -49168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + s = 3*u + 18, 4*u - 20 = 2*s. Let z = -3 + u. Solve -r = 4 + z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - 16*h - 10. What is the least common multiple of j(7) and 9?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, n: 2, a: 1, p: 6, i: 3}. What is prob of sequence np?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4. Let k(w) = -207*w - 26. Let v(f) = -k(f) - 6*z(f). Let c(r) = -2*r**2. What is c(v(a))?\nAnswer: -85698*a**2 - 1656*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 8\/9, -5, 9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241988, 473489, 705004, 936539, 1168100, 1399693, 1631324?\nAnswer: 1862999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.8 - -17. Let c = s + -0.3. What is the closest to c in -0.1, 2, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - k - 1. Let f(w) = -w**3 - 4*w**2 + 5*w + 1. Let y be f(-5). Suppose -3 + y = -p. Determine s(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 6*r + 1. Let q be l(6). Let s = 49 - 52. Which is the third smallest value? (a) s (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-15)*(-6)\/(-4). Suppose 2*j = j - t, -4*j - 4 = 2*p. Solve 3*y = p*y + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 divided by -431?\nAnswer: -158\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/14 - ((-696)\/56 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242564 - 242526.7209. Let b = q + -37.3. Round b to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*c - 121834 - 71606. Calculate the greatest common factor of c and 465.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.1 and 1.1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 18. Calculate the least common multiple of 1 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 = -3*b. What is s in -22*s**3 + 40*s**3 + 12*s**2 + 8*s - 12*s**4 - 26*s**b = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**2)**(2\/35)\/(o**(-1\/11)\/o)**(21\/2))**49)**(-2\/25) assuming o is positive.\nAnswer: o**(-62356\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u - 4*u - 5*u + 25*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/((-2)\/(-9)). Suppose -2*g - 2*x = 2*g - 10, -t*x - 35 = -4*g. Solve 0 = 2*y - 2*k - 8, g*y - k - 16 - 8 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1076 + 1816. Suppose 4*r = 4*h - 17 + 5, -2*r + 2 = 0. Suppose 2*d - 568 = -d - h*m, 0 = 4*d + m - a. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.8019 + -16.94. Round z to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 - 8*c**3 + 15*c**3 + 2*c**2.\nAnswer: 7*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573759 less than -42070?\nAnswer: -615829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16370.054 + -16370. What is the smallest value in r, -30, -0.1?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1241686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 8*r - 26. Suppose 16*n + 31 - 191 = 0. Determine h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -13\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (4 - 0))*-331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 96894 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(1\/2361*9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3395526 a multiple of 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p**2 + 3*p - 5. Let r(k) = 2*k**2 + 1. Calculate -4*r(t) - w(t).\nAnswer: 4*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986320?\nAnswer: 2, 5, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 + 1. Let q(c) = -5*c**2 - 2*c + 11. Let f(d) = -6*j(d) + q(d). Let u(v) = 6*v**2 - 2*v + 4. What is -3*f(s) + 4*u(s)?\nAnswer: 3*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*k + 2*a + 1, a = -5*k + 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h**(-1\/2)\/h)*h)\/h)\/h**(-2)*(h\/(h**(-1)\/h))\/(h**(-1)*h))**38 assuming h is positive.\nAnswer: h**323","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 191419, 9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j\/j**(-4)*j*j)\/j)*j)*j**(2\/15)*j\/j**0*j**4)\/(j**(-3\/4)\/(j**(-1\/7)\/j))**(5\/8) assuming j is positive.\nAnswer: j**(33223\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p + 2. Let r(m) = m. Let j be (-1)\/2 - (-6)\/4. Let g(v) = -v. Let k(c) = -20*c. Let w(t) = j*k(t) - 24*g(t). Determine p*w(o) - 6*r(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21724412847 and 7652.\nAnswer: 21724420499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 77 = 95. Suppose 15*w + y = 17*w. Calculate the highest common factor of 333 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.13, -0.2, 2, 241, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1636 + 2.149775. Round u to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7111, 7117, 7105, 7069, 7003?\nAnswer: 6901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -87, -92?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 43?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*c - 21 = 0, 10*c + 13 = -3*a + 6*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 6 = -3*y, 10*w - 7*w + 2*y = 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -6 - 43) + (1 - -2) + -2 + -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - c - 823, 2*p - 5*c = 6*p - 670. Let d be 4\/((-24)\/p)*4\/(-2). Let o be ((-2)\/4)\/(2\/(-20)). Calculate the highest common factor of o and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 174 - (0\/(-1) - 3). Let c = h - -25. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -142840406 and -3?\nAnswer: 428521218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/12)\/((-3)\/9). Suppose 5*b = 4*d + p*b - 89, 5*d - b = 114. Is 10 a factor of (1\/1)\/(1\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*26\/351*15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p - 17. Let q(a) = 21*a + 23. Let h(o) = -2*q(o) - 3*x(o). Let b(g) = 0 + 2*g + 6 - 2. Determine -4*b(u) + 3*h(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -5.6. Let b = 14 - 14.02. Let u = b + 4.02. What is the smallest value in 3, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 304*s**3 + 1355*s**2\/2 - 646*s + 3. Differentiate k(n) with respect to n.\nAnswer: 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-71 - -78) + (1 - 2)\/((-2)\/46). Calculate the highest common divisor of 15540 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282, -737, -1448, -2409, -3614?\nAnswer: -5057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*((-6)\/3)\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 514 + -514. Solve -3*a - 5*i + 2 = v, -i + 19 = 4*a + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -21. Let f be 1 - (3\/18)\/(-1) - 63\/(-378). Which is the closest to 3? (a) q (b) f (c) 1\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -618058, -618060, -618062, -618064, -618066, -618068?\n\"Answer: -2*q - 618056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -2. Let z = -1 - a. Solve -2*w - 1 = z*t - 7, 6 = 2*t + w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7476677 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -5*z**3\/3 - 4*z**2 + 4*z + 18. Determine r, given that q(r) = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8250 divided by -11\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**2\/2 - 6*t + 3. Let k be z(7). Suppose -3*o = 47*s - 46*s - 8, -5*s + 20 = -5*o. Is k < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 15 = z. Suppose 0 = -z*c + 7*c - 8. Solve v = c*g + 7, -g - v = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 4*a**3 + 2*a**4 + (-3*a**3 + 4*a**3 + 0*a**3)*(a + 0 + 0) + a**3 + a**4 - a**3 - 2*a**4 + 2*a**4 + a**4.\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:01 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -57*g + 3. Let d be x(1). Let t = 75 + d. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -44)*(-18)\/5. Calculate the highest common factor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1)*q\/q**(-7))\/(q**(1\/6)*q)**(-50) assuming q is positive.\nAnswer: q**(205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2433 and 108?\nAnswer: 87588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * -2.628443.\nAnswer: -73.596404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*k = -3, 0 = -4*o - 4*k + 25 + 11. Let r(c) = 8*c + 4. Let t be r(4). Suppose 0*g - 3*g + t = 0. What is the remainder when g is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41940*1\nAnswer: -41940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + c**2 + 3*c**2)*(172*c**3 - 46*c**3 - 68*c**3).\nAnswer: 116*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = -56*y + 212 - 92 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Let w be g + -1 - 18\/(-3). Let t be -2*(-20 + -2 + 4). What is the greatest common divisor of w and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**2 - 12*n**3 + 40*n**3 + 0*n**2 wrt n?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-398)\/(-184) + 12\/138. Let d(q) = -q**2 + 8*q + 12. Let s be d(9). Suppose -s = -w - 0. Is o at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -187*g**3 - 20*g**2 - 115*g - 267. Is n(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 49*q**2 - 9 + 50*q**2 + 9.\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 n when four letters picked without replacement from gbnbgbbnnbn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**2\/5 + 21126*u + 6945444\/5.\nAnswer: 6*(u + 66)*(u + 17539)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03828512868 rounded to five dps?\nAnswer: 0.03829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 358 = -3*j + 11*c, j = 5*c + 142. What is the remainder when 724 is divided by j?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - h**2 + 2. Let u be o(0). Calculate the remainder when 19 - 2\/4*0 is divided by 32\/3 - u\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 3*a**2 - 7. Calculate c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 707 divide 416198881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -676*w**3 + 2077556*w**2 + 1438551*w + 248994 = 0.\nAnswer: -9\/26, 3074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1373833*p**2. Let g(h) = 7*h - 6. Determine g(s(o)).\nAnswer: 9616831*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(28) - 3*sqrt(700)))\/(sqrt(196) + ((sqrt(196) - -2*sqrt(196)) + sqrt(196) - sqrt(196) - sqrt(196)) - sqrt(100)*1) + 0 + -3.\nAnswer: -3 + 21*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 966765 and 30?\nAnswer: 1933530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**3 - 3*u. Suppose -2*d + n - 20 = -8, 0 = 5*d - 4*n + 36. Let c(q) = -q**3 + q. What is d*c(o) - a(o)?\nAnswer: -2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 5:58 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -599*v - 12. Let g(c) = 289919*c + 5810. Give 6*g(x) + 2905*o(x).\nAnswer: -581*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 42*v - 19. Let c be t(4). Suppose 155*z = c*z + 11526. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t + 9. Let r = -37 - -93. Let z = r - 32. What is the remainder when g(7) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - 2*x + 4*x)*((6 - 3 - 2)*(0 - 1 - 1) + 4 - 3 + 1 - 3 - 1 + 3 + 54 - 127 + 54)*(2*x + 0*x - x) to the form p*x**2 + s + t*x and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4201*q**4 + 2497*q**2 wrt q?\nAnswer: 100824*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -54046.2 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (7 - (53 + -19)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 80, 164, 322, 578, 956, 1480, 2174?\nAnswer: 3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-37) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4 = -2*s, 5*c + 4*s + 0 + 2 = 0. Let v = 15 + -7. Let k = v - c. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k**4 - 166*k**3 + 386*k**2 - 146*k - 42 = 0. What is k?\nAnswer: -7, -3\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, 5, 4, -66, -412?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*i - 8. Suppose 4*j = -2*k + 22, 2*k = i*j - k - 27. Suppose 4*t - 6 = j. Solve x = 2*x - t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, 1, -22, -2 in ascending order.\nAnswer: -22, -2, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*p + 26 + 356, 3*d - 259 = 4*p. Let x = -37 + d. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -642\/7 in 3\/7, 0.5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*(-15)\/27 - 228\/126\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2104015.9 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22.8 (b) 0.2 (c) -24\/7 (d) -248\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 11:00 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*g = 35, -3*g = -5*y - g + 17. Suppose y = 2*a - 5. Solve -3*k + 4*k = 3*p + 9, -5*p + a*k - 25 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**5\/3 + 58*h**4\/3 - 365*h**3\/3 - 2418*h**2 = 0.\nAnswer: -62, -9, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 312052 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(7)*1))\/sqrt(324).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 14 = 4*j, 5639*j - s = 5636*j + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 372 = -232. Let f = 111 - 60. Let r = f - h. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59861794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 + 7*k**2 - 180.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179 + -166. Let i be (25\/10)\/(2\/4). Suppose 3*g + a + 0*a = 107, -g - i*a = -45. Calculate the remainder when g is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times 13.3?\nAnswer: -452.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*h + 1118 + 1082 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 <= 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 9:40 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -75b54 (base 14) to base 10\nAnswer: -284862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**5\/7 - 2787*h**4\/7 - 6*h**3\/7 + 5574*h**2\/7 + 3*h\/7 - 2787\/7 = 0.\nAnswer: -1, 1, 929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 18\/81 - ((-172)\/(-54))\/((-1)\/204)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 2*y**2 + 3. Let g be t(3). Suppose 2*j = -4*j + 48. What is the greatest common divisor of g and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - 86. Let n(u) = -50*u**4 - 50*u**3 + 120*u**2 + 50*u - 55. Let x(y) = 7*y**4 + 7*y**3 - 17*y**2 - 7*y + 8. Let s(f) = q*x(f) + 2*n(f). Factor s(p).\nAnswer: 5*(p - 1)**2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -3\/7, -2\/21, -0.2 in descending order.\nAnswer: 0.5, -2\/21, -0.2, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3))**(-14\/13)\/(d**(-2\/15))**(-8\/9) assuming d is positive.\nAnswer: d**(1052\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96659*d - 8036?\nAnswer: 96659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 17*n**2 - 31*n + 15. Is q(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/10)\/((-2)\/(-10)). Let o(s) be the third derivative of -s**5\/60 - s**4\/6 + s**3 + 918*s**2. Determine o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -175392*r + 175386. Give t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10\/21 + 12\/35. Let d = -0.05 + -2.95. Which is the closest to 1? (a) d (b) 4\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -14*o**3 - 11*o**2 - 7*o + 3. Let l(z) = -8*z**3 - 5*z**2 - 3*z + 1. Give 9*l(a) - 4*v(a).\nAnswer: -16*a**3 - a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvkvvkkvvvkv. What is prob of sequence vkk?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h - 3*h**3 + 4539441 - 4539441 + 16*h.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 12*x - 2*x**3 - 5*x + (1 + x - 1)*(9*x**2 + 3*x - 3*x).\nAnswer: 7*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 186, 186, 228, 306, 414, 546, 696?\n\"Answer: -y**3 + 27*y**2 - 74*y + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 600*i**3 - 3*i**2 + 40*i - 143. What is the ten thousands digit of g(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(2\/9))\/b)\/b*b)\/b)**(7\/6) assuming b is positive.\nAnswer: b**(-77\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a**2 - 29*a + 14. What is the thousands digit of z(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x + 8 = 0. Suppose -x*o = o. Let y be (4 + o)*(-30)\/(-24). Sort 0, 1, y in descending order.\nAnswer: y, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*a = 43*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106778 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 6. Let c be g(5). Let l be (54\/44 - 1)*(-20)\/(-25). Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 18*i - 168 + 19, -10*i - 9*j = -14*j + 8*j - 77 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 5) + -1 + (5 - (1 + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + f + 2)*(4*f - 5*f - f) + (2*f - 4*f + f)*(9*f - 9*f + 15*f).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4543 or 1?\nAnswer: -4543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*v + 87*v = 33*v + 19604 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 3934?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.9798 rounded to 0 dps?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5829, -5868, -5907, -5946, -5985, -6024?\n\"Answer: -39*w - 5790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, a: 1, c: 1, t: 2, l: 1, d: 2}. What is prob of picking 1 c, 1 t, and 2 y?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -8\/9*o + 2\/9*o**3 + 16\/9 - 4\/9*o**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - v + v)*((2 - 2 + 1)*(-1 - 2 + 1) + 5 - 4 - 2 + 1 + 1 + 0 + 3 + 0 - 4 + 4 + 1 - 4)*(0 + 5 - 1).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 1\/3*d**3 + 3 + 0*d - 1\/2*d**2. Find the second derivative of c(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7339 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (3*sqrt(133)\/sqrt(7))**2) + -4 + sqrt(76)\/sqrt(4) - ((-2*(sqrt(76)*1 + sqrt(76)))\/sqrt(4) + -4).\nAnswer: -171 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 6. What is the second derivative of -5*b**y - b**3 + b**3 + 6*b wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44811239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -2\/939, 1\/3, 0.5, 0.1776?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 7399 + 7403 = 0. What is the nearest to y in 1\/3, 3\/8, 2\/37?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1632 + 3059 = 1180*p + 1007 - 2216 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.7 + -0.7. Let i = 39.267 + 0.633. Let k = -40 + i. Which is bigger: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izg when three letters picked without replacement from zizeezzizzzgizg.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15661634 to the power of 1\/2, to the nearest integer?\nAnswer: 3957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 895770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*a + 10, 5*x = a + 4*a + 5. What is the greatest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 993 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5*l = 2*p + 19, 5*p + 10 = -4*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 10 - 26)*(-2*k + 2*k + 3*k).\nAnswer: -159*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 5:10 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 - -54. Let f = -33 - i. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174824 = -4*f - 5*n, -2*f + 14*n = 16*n - 87414. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5164205?\nAnswer: 5, 1032841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*x + 768 = -75*x. Solve -s = -5*t + x, -6*t + 3*t = 5*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102.321 - -6199626\nAnswer: 6199523.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17696 + 6?\nAnswer: 17702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 482972 (base 14) in base 8?\nAnswer: 11320270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*f - 10 + 10.\nAnswer: 103*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1, 48, -2, 565, -24 in descending order.\nAnswer: 565, 48, 1, -1, -2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 13. Let i = t + 8. What is the remainder when 8 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 23. Let n be u(-10). Let l(f) = -f**3 + 14*f**2 - 11*f + 6. What are the prime factors of l(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721*k**3 - 239*k**3 - 243*k**3 - 238*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157 and 942?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 6, 0.05, 2601\/7, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19.3 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 20.2512.\nAnswer: 24.30144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14957 + 46*u + 14957)*(-3*u - 6*u + u).\nAnswer: -368*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:52 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-360)\/(-14)*42\/4. Suppose 6*j - 3*j + h = 0. Let y = -60 - j. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(75))**2 - (sqrt(30) + sqrt(270))\/sqrt(10) - (((sqrt(75)*2)**2 - sqrt(75) - sqrt(75)) + 3)).\nAnswer: -18 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 665 - 449. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26961)\/(-285))\/43*15\/(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Let p = -1.3 - -1.5. Let l = 0.3 + -0.6. What is the nearest to w in -4\/7, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15000377.\nAnswer: 7, 2142911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 3*d**2 - 56*d - 169. Let m be z(-3). Let y(p) = -69*p + 2. Calculate y(m).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111110 - 11220120?\nAnswer: -12102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30, 20, 4, -18, -46?\n\"Answer: -3*y**2 - y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11276, -11279, -11284, -11291, -11300?\nAnswer: -11311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 6, a: 7, r: 1}. Give prob of picking 1 a and 1 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 4129*p**5\/20 + 518*p**3\/3 - 784*p. What is the second derivative of a(s) wrt s?\nAnswer: 24774*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 1, b: 1, e: 2, u: 3, q: 3}. Give prob of sequence eqq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(3\/8))*o**7)**(1\/18) assuming o is positive.\nAnswer: o**(59\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*l + 12 = 3*z, 4*z = -4*l - 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1684605 divided by -39\nAnswer: -43195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 33*x**2 - 62*x + 5. Determine w(-31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -588127, -588128, -588129, -588130, -588131, -588132?\n\"Answer: -s - 588126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -37. Suppose 4*l - k - 29 = 0, 5*l = -0*k - k + c. Is l <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-8))\/6*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5621 - -5625. Solve -l*m + 2624 = 2616 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r - 24*r**2 - 141*r**2 - 41*r - 11*r**2 + 20*r**2 + 77*r.\nAnswer: -156*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18730 divided by -348?\nAnswer: -9365\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/4 - 6\/(-24). Let o = -0.06 + 3.06. Let g = 1 + -3. What is the closest to 0 in l, o, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2941*s**3 - 4*s**2 + 32?\nAnswer: -17646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 30. Let g = x - 16. Suppose g*u = u + 102. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -354, -745, -1300?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*t + 840 = 0. Let z = t - -481\/4. Factor 0 - z*u**2 + 1\/4*u.\nAnswer: -u*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -41*m + 408. Calculate the remainder when (-3)\/(36\/(-16))*273\/2 is divided by p(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008875895829 to 5 decimal places.\nAnswer: -0.00888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81278942 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 82. Calculate the remainder when ((-90)\/(-4))\/(9\/12) is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.8*6\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*k + 3*k + 305, 4*l - 300 = 4*k. Let s = l + -49. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -0.91.\nAnswer: 0.0637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2426 - -14593\/6. Let m be 88\/(-14) + 4\/14. Find the common denominator of b and ((-2)\/m)\/(4\/(-183)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9802916m to nanometers.\nAnswer: 980291600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*m = 5*m - 40, 0 = z - 2*m + 4. Suppose -2*g + 8 = -2*l, g - 6*g = -2*l - 20. Let r = z + g. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268 - -391. Let x = i - -7. Calculate the highest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r + 18. Let q(a) be the third derivative of a**4\/24 - 4*a**3\/3 - 25502*a**2 - 2*a. Let g(b) = 3*b - 23. Determine r*g(s) + 17*q(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 151*b**2 + 31*b - 4686. Calculate u(151).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/5)\/f*f**(-1\/4)*f assuming f is positive.\nAnswer: f**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*h - 152 = 0, 5 = h + 1. What is the smallest common multiple of b and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (375\/(-20) + -6)\/((-2)\/8). Calculate the greatest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12 + 7*g**2 - 22*g**2 + 0 wrt g?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166506311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(1*sqrt(119) - sqrt(119)) + sqrt(119))\/sqrt(7) - (-5*(2*sqrt(68) + sqrt(68)))\/sqrt(4)) + 5.\nAnswer: 5 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1712.8 * -449.\nAnswer: 769047.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6015*g**2 - 4725919 + 4725919 as v*g + b*g**2 + j and give b.\nAnswer: -6015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t + 24. Let b(o) = -o - 1. Let y(l) = 4*b(l) + c(l). Let x be y(0). Calculate the highest common factor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*x - 192, 0 = -3*x - 0*i - 4*i - 146. Let b be 135*(-4 + x\/(-10)). Calculate the greatest common factor of 54 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1930, 7675, 17258, 30685, 47962, 69095, 94090?\nAnswer: 122953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l + 58*l + 512 = 0. Let g be (l\/12)\/((-4)\/18). Let n = 158 - g. Does 32 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96*0.014917.\nAnswer: -1.432032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -0.21, -2.55898 in descending order.\nAnswer: 2\/11, -0.21, -2.55898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93 or -7.05?\nAnswer: -7.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)\/(s**7*s))**34 assuming s is positive.\nAnswer: s**(-527\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/1*(-8)\/8 + 1220 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 minutes before 1:33 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 541783 >= 541784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1988*x + 729*x - 7747*x.\nAnswer: -9006*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sox when three letters picked without replacement from {p: 1, x: 1, o: 4, s: 7}?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 72997131 to the power of 1\/2, to the nearest integer?\nAnswer: 8544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 284000410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6623, 8279, 9935, 11591, 13247, 14903?\nAnswer: 16559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.98 - -27. Let o = s + 0.2. Which is greater: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6255*z + 300238. Determine a(48).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0 + 0*i - 1\/60*i**5 - i**2 + 0*i**3 + 0*i**4. Let x(y) = 186 + 2*y - 186. Calculate r(x(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 36*d**2 - 204*d + 11. Let g be f(7). Solve 4*p = 3*q - 2*q - 5, -g*p = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/((-55)\/4))\/((-1)\/(-15)). Let i(m) = m - 6*m**2 - a - 6 + m**3 + 19. Let u = -42 - -47. Calculate i(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 582505.\nAnswer: 1\/83215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/((-114)\/(-15) - 8). Solve 45*z = 40*z - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1456\/910)\/((-8)\/(-50))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/13 - 983578*i\/13 = 0. Calculate i.\nAnswer: -491789, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 0 - (-11)\/2*4.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -247, -223, -185, -127, -43, 73, 227, 425?\n\"Answer: s**3 + s**2 + 14*s - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(160) - sqrt(160)*3))\/(sqrt(800) - (2*sqrt(800)*5 - sqrt(800))).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x - 14. Let i(o) = 1. Let t(y) = 5*i(y) + j(y). Let f(h) = -9*h - 10. Let l = 359 + -352. Determine l*t(p) - 6*f(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -39) + (-35 - -23 - (84 - 83))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1280*f**3 - 1280*f**3 + 11*f - f**4 + (3*f**2 - 4*f**2 + 7*f**2)*(6*f**2 - 3*f**2 - 4*f**2) as k*f**2 + j*f**3 + v*f**4 + x + d*f and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.714 + 0.714. Let q = 5 + 3. Which is the third biggest value? (a) 0.2 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Let z = -0.2 + 0.3. Let i = -2.5 + 6.5. What is the nearest to 2 in m, z, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46615*u**4 - 22*u**2 - 1100*u + 2 wrt u.\nAnswer: -1118760*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xysyasxsxx. Give prob of sequence ys.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*f - 4*u, -f - f = 3*u - 24. Let k = f + -1. Solve -5*j + 2 = -k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 51. Let w(q) = q - 9. Let v(s) = -n(s) + 6*w(s). Give v(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4)\/g**1*(g*g\/(g*g\/(g\/(g*g**(1\/4)))))**(1\/16)*((g*(g*g*g\/(g*g**(-3\/7))*g)\/g)\/((g**(2\/3)*g)\/g))**(2\/155) assuming g is positive.\nAnswer: g**(-1037431\/208320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + 220*u**2 + 208*u**2 - 166*u**2 - 262*u**2 + 9*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1, -12.\nAnswer: -12, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 69*c**2 - 9*c + 93. Let a(h) = -34*h**2 + 5*h - 45. Let n(f) = -9*a(f) - 4*i(f). What is the second derivative of n(d) wrt d?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 44 = -3*m + 2*m, q + 3 = 0. Let f = -3 + m. Let u = f + -5. What is the greatest common divisor of u and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aylcaallwlw. Give prob of sequence lwly.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.316 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 18*o**2 - 5*o - 38. Let b be q(-9). Which is greater: b or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 29*k - 1053. Let x be a(37). Solve -2*f = -5*l - x + 32, -4*f + 4 = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 2*d + 3. Suppose -164*a + 24*a - 280 = 0. What is r(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -3\/19 (c) -2\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -1\/32, -1\/6, -380, 4 in ascending order.\nAnswer: -380, -2, -1\/6, -1\/32, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llfplaaalaaaal. What is prob of picking 1 l, 1 p, and 1 a?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 + 244*u\/11 - 4726\/11.\nAnswer: 2*(u - 17)*(u + 139)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdwudwwxw. What is prob of sequence wux?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2*z + 51*j*z - 4*j + 1319*z with respect to j.\nAnswer: 4*j*z + 51*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-171) + 1 + (-1 - 0). Factor l*w**2 + 2\/9*w**4 + 4\/9*w**3 + 0 + 0*w.\nAnswer: 2*w**2*(w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 16, 0 = -5*l - 3*o + o + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 at least as big as 660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2524.5 - 2520.5. What is the closest to -1\/77 in 1\/2, 1\/6, 0.2, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1485 - 1474. Let l = 3 - -2. Suppose -14 = -2*t + 2*n + 3*n, 0 = -l*t - n + 89. What is the least common multiple of m and t?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*g**2 - 14*g**2 - 971 - 12*g + 969 + (-1 - 2 + 4)*(-5*g**2 + g**2 + 2*g**2) - 3*g**2 + 3*g**2 - 2*g**2.\nAnswer: -33*g**2 - 12*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 709*w - 1502*w - 1592*w - 2023*w as o*w + a and give o.\nAnswer: -4408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 2*c + 3. Let i(w) = -8*w**2 + 15*w + 4. Let y(f) = 7*f**2 - 13*f - 4. Let d(p) = 5*i(p) + 6*y(p). Calculate -3*d(x) - 4*n(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 273.95 * 0.1.\nAnswer: 27.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1 + 4*m + 5*m**2 - 3*m**2 - 6*m + 4. Determine r(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z**3\/5 + 42576*z**2\/5 + 85251*z\/5 + 42642\/5 = 0. What is z?\nAnswer: -1, 14214\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 + 59*h - 57*h + 42*h - 48*h.\nAnswer: 5*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/9 + (-1)\/(-3). Let q = -2 - d. Let y(s) = 1 - 4*s - 2*s - q*s. Determine y(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/10 - 1752\/(-20).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6360*r - 3261*r + 21395*r.\nAnswer: 24494*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -141*(-2 + (-1)\/(-9)*3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 687, 688, 689, 690, 691, 692?\n\"Answer: a + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*g - 4836 = -3*o, -2*o - 15*g - 34 = -17*g. Let t(h) = -1 + 18*h + 3 + 0*h. Let k be t(6). Calculate the highest common factor of o and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d + 137 = -119 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1864476 or 20509242\/11?\nAnswer: 20509242\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48d77 (base 14) in base 10?\nAnswer: 178269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 875945*m**2 + 874770*m - 1175.\nAnswer: 5*(m + 1)*(175189*m - 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11836 by 5918.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 26*s - 13*s - 10*s. Let f(l) = 6*l. Calculate p(f(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let k(u) = 16*u - 7*u + w + 24*u. Is 12 a factor of k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 + 20*f**2 - 3*f**2 - 25 + f**4 - 12*f**2 in the form v*f + r*f**4 + k*f**2 + a + y*f**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + i)*(29*i - i + 10*i).\nAnswer: 38*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 128 = -36. Let p(f) = 16*f + 545. Let z be p(-37). Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 106*b**2 + 701*b - 156. Let g be c(99). What is the greatest common factor of 3604 and g?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4625*z + 4624*z + 5. Let u(n) be the second derivative of 4*n + 0 + 1\/70*n**z + 2\/7*n**2 - 1\/21*n**3 - 1\/21*n**4. Factor u(h).\nAnswer: 2*(h - 2)*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**3\/9 - 1642*l**2\/9 + 299950*l\/9 + 2180794\/9 = 0?\nAnswer: -7, 289, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 775*i - 110. Give r(1).\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - w + w + (w**2 + 0 + 0)*(7 - 2 - 2).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4 + 227528*c**3 - 682656*c**2 - 2047880*c - 1137700 = 0. Calculate c.\nAnswer: -56885, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15620 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/297, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 6 = 4*v. Let o(a) = 3*a - 17. Let m be o(v). Let c = m + -13. Solve 0*y - 4*y + 20 = c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -803\nAnswer: 803.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -4, 716, 18.\nAnswer: -4, -1, 3, 18, 716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r - 2*r**4 + (2*r + 2*r + r)*(3*r**2 - 3*r**2 - 2*r**3 + (2*r + 2*r - 3*r)*(2*r**2 - 3*r**2 + 6*r**2)).\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 5) to base 6.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 29*k - 2 + k + 0*k + 13. Is s(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17845\/20811 + -1\/2973. Let -4\/7 + g*w**4 + 22\/7*w**2 - 22\/7*w**3 - 2\/7*w = 0. What is w?\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -2 - -7) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 + 675 = -65*y + 621 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(275) + 0).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y + 8. Suppose 2*l + t = -4*t + 19, 2*l + y = 4*t. Suppose l*v - 14 = 6. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*n + 6*n. What are the prime factors of 4\/n + 24\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1527837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 3999162.\nAnswer: 303936312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -10 - (-2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32974*g**2*n + 31*g - 2*n + 115 wrt g.\nAnswer: 65948*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/683485?\nAnswer: -2\/683485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43741 by 83.\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2953 < -2951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -34936*5\nAnswer: -174680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, p: 3, x: 1}. Give prob of picking 1 x, 1 p, and 1 w.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1) + -2 + 4 + -7 + 32 + -6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7028892 is divided by 2342825?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 - -6) - (-1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26479953 and 291279483?\nAnswer: 291279483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14759 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*s - 789 = -161*s. Let -2\/3*b**s + 0*b + 2\/3*b**4 - 4*b**2 + 0 = 0. Calculate b.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + (-11 - (6 - 14)) + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**5\/20 + u**4\/12 + u**3\/6 + u**2 - u. Calculate x(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 14 = -5*f, 3*u = -2*f + 3*f + 10. Suppose 0 = -j - 3*g, -f*j + 0*g = -2*g + 8. Does 24 divide (9\/2)\/(j\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 141\/(-2) + 2\/4. Let g(a) = -a + 15. Let q be g(7). Calculate the common denominator of -57\/20 and 213\/t - q\/(-20).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 96 = b. Let y = b + 75. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, x: 5, p: 2}. What is prob of picking 2 n?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/10)\/(2\/180*15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 18. Let w be p(0). Let y = 20 - w. What is the tens digit of (1 - -42)\/1 - y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*a - 129*a = 4*y - 538328, -2*a + 269158 = -4*y. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-147)*618\/(-103).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 7. Let r be z(6). Let f = 1 - r. Suppose -a + 6 = -5*v, f*v + 14 + 6 = 2*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-18)*56\/(-2660)*-114.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 33*h**2 - 190*h - 3934. Calculate q(-31).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5 + sqrt(75) + 1*sqrt(75))*-3*-3)**2 + 0.\nAnswer: 8100*sqrt(3) + 26326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/4 + w**3\/3 - 3*w**2\/2 - 13*w. Calculate v(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 177192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and -0.2897226517.\nAnswer: -0.2597226517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27026879 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + h - h)*(71 - 11*h + 78 - 148)*(h + 5*h - 4*h) as p*h**2 + n*h**3 + l*h + r and give n.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 - -152. Let a(u) = 19*u - v*u + 27*u + 28*u. Let o(c) = 25*c**2. Determine o(a(x)).\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 1:59 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/102 + 1 - (1422673\/8517 + -237).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = 3*y, 6*y - 2*y - 5*x - 40 = 0. Suppose -5*s = 0, 4*b - 3*s - 4 = -0*s. Put -4, y, b in decreasing order.\nAnswer: y, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 11. Let s be r(7). Suppose -5*b + 12 = -b. What are the prime factors of 1 - s\/(6\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -3*g**5\/20 - 3*g**2 + 3*g - 1. Let a(q) be the first derivative of w(q). Let n(l) = -l**3 - 1. Calculate a(d) - 6*n(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3\/5 + 208*m**2\/5 - 3168*m\/5 - 16128\/5 = 0.\nAnswer: -4, 24, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39.03 + -1.03. Let y = x + 60. Let h = 98.000334 - y. What is h rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a factor of 378655900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10053004 + -316?\nAnswer: -10053323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**3*s*x**3 - 2*o**3*x + 2*o**2*s*x**2 + 197*o**2*x**3 + 274*o**2*x**2 - 19*s*x**3 - 14*s*x**2 wrt x.\nAnswer: 24*o**3*s + 1182*o**2 - 114*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1335 + 15084. What are the prime factors of p?\nAnswer: 3, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -2.5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -121 - -3763058?\nAnswer: 3762837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4 - 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.3003 milliseconds in microseconds?\nAnswer: 411300.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2637 is divided by 307.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = 4. Calculate the remainder when 34 is divided by 1*(3 + q) - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - 0.06. Let f = 0.1 + x. Suppose -92*v + 7*v - 1348 = 1202. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**4\/8 + 460*p**2. Let f(n) = -5*n - n + n. Give f(d(t)).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 3*n - 3*n + (-1 + 4 - 1)*(n**2 + 0*n**2 + 0*n**2) - n**2 + 4*n**2 - 4*n**2 - 5*n**2 - 6*n + 6*n)*(-2*n + n + 5*n).\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/4 - 41*b**2\/4 - 10*b = 0. Calculate b.\nAnswer: -40, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 3c3d24?\nAnswer: -3c3d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -32*y + 858. Give o(33).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41796 and 76626.\nAnswer: 459756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 27*l**8\/98 + 291*l**7\/245 + 59*l**6\/30 + 111*l**5\/70 + 5*l**4\/7 + 4*l**3\/21 + 5*l**2. Suppose n(c) = 0. Calculate c.\nAnswer: -1, -1\/4, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -24, 0, -2\/11, 5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1412 - 1311. Which is smaller: l or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 5 (c) 0.6 (d) 1249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*x + 8. Let q be ((-4)\/(-5))\/((-6)\/x). Which is greater: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:23 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**5\/20 + 7*g**4\/12 + g**3 - 5*g. Let d be s(-6). Suppose d = -i + 27 - 3. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**7\/126 + h**6\/30 + h**5\/30 + 2*h. Factor t(s).\nAnswer: s**3*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -56397106 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8319 - 4?\nAnswer: 8315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 2. Let m = 2 + z. Let i(a) = -11*a + 4. Let x(p) = -5*p + 2. Let t(o) = 6*i(o) - 13*x(o). Give t(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 + 32 - 32 - 4*w**3 - 5*w**4 + 3*w**4 + 3*w**4 + (-4 + 1 + 1)*(-3*w**4 + w**4 + 0*w**4) - 4*w**4 + w**4 - 3*w**4.\nAnswer: 2*w**4 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((sqrt(48)\/sqrt(4) + sqrt(12))*-5) + sqrt(605) + 0 + -2.\nAnswer: -2 + 109*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 + -1)*96\/20. Suppose 0 = -3*p + 34 + 5. What is the remainder when u + -3 + 21\/3 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 25\/4 of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14a236 (base 13) to base 3\nAnswer: -221210200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*p - 719*p + 24961 + 217 + 35538 = 0 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-6)*7\/((-70)\/885). Let r = -144 - w. Calculate the highest common divisor of r and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161\/4 - 40. Let j = -6.1 - -6. What is the third smallest value in -3, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*(-16)\/60)\/(4\/(-10)). Let i(j) = -4*j**2 + 2*j + 5. Suppose 4*g = -4, 3*z - 79 = 3*g - 61. Let q(h) = 8*h**2 - 5*h - 11. Determine y*q(o) + z*i(o).\nAnswer: -4*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 6*x + 6. Let r be o(-6). Let n(v) = v**2 - 2*v - 4. Calculate the lowest common multiple of 20 and n(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(1 - 0) + 2. Sort 8, p, 5, 6 in ascending order.\nAnswer: p, 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 162022*t**2 + 161775*t**2 - 2*t)*(-3*t**3 + 0*t**3 + 2*t**3).\nAnswer: 247*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a2384 (base 11) in base 6?\nAnswer: -43211300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 126.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978.1044 seconds to minutes.\nAnswer: 16.30174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:22 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m + 2*m - 12*m + 2*m - m**2 + 14. Give g(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 5\/6*d**4 + 0*d**2 + 0 + 0*d**3 + 7*d. Let r(v) = -2*v**2. What is n(r(q))?\nAnswer: 40*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/11)*q**(2\/17))\/(q**(1\/3)\/q**(2\/21))*((q*q**7*q)\/q**6)\/((q*q*q**(-1\/4)*q)\/(q\/q**(2\/3))) assuming q is positive.\nAnswer: q**(2987\/15708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -34.36?\nAnswer: -3.0924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -287662?\nAnswer: -86298.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13589 is divided by 412.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 3*g**3 + 2*g**3 + (2*g - 2*g + 2*g**3)*(3 + 1 - 2) - 59*g + 14*g**3 + 59*g)*(-2*g + 12*g - 21*g).\nAnswer: -187*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038 - -12154565?\nAnswer: 12154564.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 149 + 16 = -145*i + 6*i + 117, 21 = -3*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26991 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: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 6. Let o(p) = 3*p + 12. Let l(n) = 5*o(n) - 9*t(n). Let q be l(-8). What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a7 - -3?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 242?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010 (base 2) in base 10?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 609648288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.427ml in litres?\nAnswer: 0.106427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -687 and -19635.\nAnswer: -20322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrrrrrrrrrrrrrruu.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-3))\/(5 + -4) - 28. Suppose -5*f + 3*f = 62. Let o = a - f. Solve t + 2 = -o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 3*c + 32 - 2*c**2 - 59 to the form m + j*c**2 + o*c and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**7)\/o*o*o*o**2)**31)**(-16\/7) assuming o is positive.\nAnswer: o**(1488\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 17, -5, -2\/15 in decreasing order.\nAnswer: 17, 5, 0.2, -2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3629*l = 20368 + 5035 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736 divided by 4.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3676825, 3676821, 3676817, 3676813?\nAnswer: 3676809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 60 = 2*l, -2*z + 5*l = 2*l - 35. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340310401234 + 1?\nAnswer: 340310401240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by -89.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 88*n - 1389. Let c be s(16). Solve c*i = 176 - 290 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 26*k - 76. Let g be 19\/152 + (-159)\/(-8). Calculate the least common multiple of 66 and t(g).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 74*x**2 - 483*x + 945. What is h(67)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*g + 17535 = -30*g. Let y = -5 + 8. Is g + y - (-7 - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 3*k + 159 - 178, 0 = -5*f + 8*k + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 285, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3308 is divided by 590?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47.517 and -72?\nAnswer: -3421.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + r - 8 = -5*s, -5*s = 2*r - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t + 6. Let d be h(-3). Let y = -212 + 238. Let q(k) = -58*k + 33*k + y*k - 4. What is q(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -0.4 (c) -0.28 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2. Let z be c(-2). Let r(d) = -3*d**2 - 5*d + 5. Let f(i) = -2*i**2 - 4*i + 4. Calculate z*r(k) - 5*f(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 436\/5 (b) -0.6 (c) 15383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*t - 105 = 3*t, 5*r - 474 = -2*t. Suppose 15 = 3*w - r. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 + 1 = 0. Suppose 2*f - 12 = a - f, 2*a = 2*f - 8. Suppose 0*g - 5*g - 5 = a. Is g at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvvvcvvvvcvvcc. Give prob of picking 2 c.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/75*(1\/28)\/(8\/64)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309904?\nAnswer: 2, 7, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 18*z**2 - z + 14. Let p be i(-18). Let o be -2*(132\/p + -4). Which is the third biggest value? (a) -0.6 (b) o (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29.0147259 and 0.8.\nAnswer: -28.2147259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1169 - 1091. Suppose 4*b = 2373 + 27. Suppose -h*c + 74*c = -b. What is the greatest common divisor of c and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 20. What is the greatest common divisor of 8 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:17 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4*r - 20, -2*r = -5*q - 46 + 14. Let k = -4 + 9. Sort k, -2, q.\nAnswer: q, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - -1 - (3213 - 3225)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1444 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(13) + sqrt(13) + -1 + sqrt(13) - sqrt(13)) + -5 - (5 + 3*sqrt(117)))**2.\nAnswer: 224*sqrt(13) + 893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 2. Let n(y) = 684*y - 397. Let s(p) = 3*g(p) - n(p). Find the first derivative of s(h) wrt h.\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28662802?\nAnswer: 2, 7, 61, 33563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**3 + 30*g**2 + 13*g + 49. Let j(f) = -3*f**3 + 10*f**2 + 4*f + 17. Let o(k) = 4*c(k) - 11*j(k). Calculate o(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k + 4. Let t be n(2). Let j be 2*(-4 - -3)*t. Solve -d + 9 = 3*w, j*d = w + 8 + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**3\/6 + 77*o**2\/2 - 2*o + 3. Let v(i) be the first derivative of x(i). Is v(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*b - 14*b**5 + 0*b - 27*b + 8*b wrt b.\nAnswer: -280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, 4, 48, 132, 268?\n\"Answer: 2*k**3 + 2*k**2 - 4*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -27?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12 = -4*v, -2 = -5*l + 4*v - 14. Suppose 0 = 2*p - 2, -q - 3*p + 19 = l. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02173 rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -193*n + 9. Let q(p) = -8*p**2 + 703*p + 702. Let w be q(-1). Let r(x) = 48*x - 2. Calculate w*r(z) - 2*i(z).\nAnswer: -46*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 7. Let u be m(-9). Let f(r) = -4*r**2 + u*r**2 + 4*r**2. Let d(v) = 3*v**2. Give f(d(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + -0.29. Let n = -12 + 12.2. Let r = -3.2 + 3. Which is the closest to 1? (a) n (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -463 + 467. Let v(i) be the first derivative of -3\/4*i**h + 10 + 0*i**3 + 0*i**2 - 2*i. Find the first derivative of v(s) wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28354421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0811 take away 0.05?\nAnswer: -0.1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*y + 1185, -88*j - 5*y = -90*j + 625. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/5 - 2142*b**2\/5 + 34656*b\/5 - 139136\/5 = 0. What is b?\nAnswer: -1087, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:10 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 1 = -r. Let q be -1 - (1205\/(-25) - -2). Let n = q - 45. What is the nearest to 1\/6 in n, r, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (18 + 2 - (8 - -65)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 777.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 minutes before 9:58 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6147 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -35. Let s be (n + (53 - 2))\/(-1). Let c = 53 + s. Solve 5 + 2 = 2*i + l, -c*l - 5 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(14)\/sqrt(7) + -1 + (sqrt(2)*-2)**2 + -3 + ((sqrt(10) - (sqrt(10) + sqrt(490)))\/sqrt(5) - (sqrt(2) + (sqrt(144)\/sqrt(6))\/sqrt(12)))**2).\nAnswer: 2*sqrt(2) + 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 - 2*z - 33. Let r(q) = 3*q**2 - q - 17. Determine -2*a(j) + 5*r(j).\nAnswer: 5*j**2 - j - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*c - 58, -3*g + 50 = -4*c - 29. Let k = -18 + g. Solve 2*x - k*j = -2, 2*x - 3*x = -2*j + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:27 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632342824 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -12. Let k = l - -10. Suppose k*u + 6*h - 4*h = 64, 2*h + 2 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8912 + -4572. What is n rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144 - -157. Let d(g) = 6*g - 3*g + g - m. Let s be d(5). Let p(v) = v**3 - 8*v**2 + 6*v + 1. Calculate p(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49575319663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/188752088 and -13\/275723.\nAnswer: 1321264616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -21. Are 17 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-6)\/6)\/((-2)\/6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-808)\/(-202)*(-4)\/80.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -16*z. Suppose 2*k + 6 = 0, 3*i + k = 7 + 2. Suppose -i*q = 3*s - 142, -s - 43 = -2*s + 3*q. What is the remainder when s is divided by t(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 2*l - l)*(9*l + 17 - 17) + 5*l**2 - l**2 - l**2 to the form v*l**2 + k + h*l and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, -1, -0.07, -0.4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2728 and 672551.\nAnswer: 166792648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-26) + -2 + 282\/26. Let o(a) = -8*a + 0*a + z*a - 3*a + a. Let k = -5 + 5. Determine o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1474 + -636. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*n - 51*n - 28*n in the form f*n + u and give f.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 3)*(0 + 5 - 4) + 1 + 0 + 1 - 2 - 4 + 4)*(-1 + 2 + 1)*(-5 + 12 + 4)*(3*d - 4*d + 3*d).\nAnswer: -44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 1113 = 287. Let y = n - -193. Calculate the greatest common divisor of 72 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -193, -362, -531, -700, -869, -1038?\n\"Answer: -169*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2299) - (-1*sqrt(2299) + sqrt(2299)))*-6 - -3*(sqrt(2299) + sqrt(2299) + 0 + -5))**2 + 5.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, o: 9}. What is prob of picking 2 q?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ee28 + 16?\nAnswer: -1ee12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -10. Calculate the highest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241999?\nAnswer: 139, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 625 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Is 10 a factor of x*(3 + 0)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*l - 24 = 0, 1599*l - 1602*l = 4*n - 29. Solve 0 = -5*u + 9*x - n*x + 4, 0 = u + 4*x + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27844737*f**4 + 4595242*f**2 wrt f?\nAnswer: 668273688*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 31. Let r(k) = 1 + k - p - 3. Give r(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from qeqcejeeeseeaj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 285\/647 or 1?\nAnswer: 285\/647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/9 and -42\/8803307.\nAnswer: 79229763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j*v*y + 5*j*x**3*y - 2*j*x**2 - 21*j*x + v*x**3*y + 301*v*x**3 - 21*v*x**2*y - 2*x wrt x.\nAnswer: 30*j*y + 6*v*y + 1806*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (84\/(-35))\/12.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o + 47. Calculate l(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 79.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/146115 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmrwrfwwwrwwwmwr. Give prob of sequence fmm.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10 and ((-20)\/6)\/(44\/(-51)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*f**2 - 270*f**2 + 102*f**2 - 1 - 2*f in the form q + b*f + o*f**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0155591 rounded to four decimal places?\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4579 and 2651.\nAnswer: 50369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from {k: 3, z: 3, h: 2}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 920 = -896. Let n(t) = 6*t - 27. Let l(o) be the second derivative of -o**3\/6 + 2*o**2 + 2*o. Determine p*n(u) - 27*l(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 - 22*z**2 + 5*z**3 + 11*z**2.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from mmmmmmmmmimmmmmimimm?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 4*o - 7. Let s be a(-8). Solve -3*x = 3*k + 12, -4*x + 5*k - s = -0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 31. Let s(a) = 104*a + 70. Calculate the remainder when s(0) is divided by q(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - 473\/44 - 378\/8. Let n be -3 + (10\/50 - x\/10). Let h = 1 + -1. Which is the closest to n? (a) 3 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 - -116. Sort 3, m, 4, -5 in increasing order.\nAnswer: -5, 3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 11*z**2 - 10*z + 3. Let g be o(8). Let d = g - 76. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 20*h + 23. Let m be g(19). Let x(v) = 6*v - 6. Let b(p) = -13*p + 13. Let f(c) = m*b(c) + 9*x(c). Give f(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 1\/518, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 - -114. Let h(q) be the first derivative of 1\/4*q**4 + v + 1\/4*q + 3\/4*q**2 + 3\/4*q**3. Find g such that h(g) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686.2762mg to grams.\nAnswer: 0.6862762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -283 in -16, 3, 3.44, -0.07, 1\/4, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {s: 1, y: 11}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -15*(0 - 3 - 2115\/75).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p + 82 = -p. Suppose p*n - 3*t + 2 = 0, -4*n + 4*t = 5*t - 10. What is the smallest common multiple of 1 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + l - 4. Let d be k(-4). Suppose -4*v = -1 - 7. Calculate the lowest common multiple of (d + 4\/2)\/v and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (805367*y - 64 + 6*y**2 - 805371*y - 3*y**2)*(2*y**3 - 2 + 2).\nAnswer: 6*y**5 - 8*y**4 - 128*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-90)\/(-81))\/((-8)\/(-36)). Suppose 4*a - c*d = -15, -5*d - 4 = 1. Sort 2, -4, -2, a in decreasing order.\nAnswer: 2, -2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 7)*(2 - 6 + 3)*(-7328 + 1587 + 3635)*(-3 + 2*u + 3).\nAnswer: 16848*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/98*252\/(-216)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.106*447\nAnswer: 47.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akskbkkj. Give prob of picking 1 a and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 31 = q, -2*q - 2*k + 39 = -47. Let a = 46 - q. Suppose -d + 0*d = -a. Sort -1, d, -4.\nAnswer: -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*v + 475 - 597 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -70 + 70. Sort o, 1\/3, 4, -0.3 in descending order.\nAnswer: 4, 1\/3, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o**2 - 54*o - 41. Is d(29) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-6) + 3)*334. Suppose 5*f - 420 = i. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 122\/3 - (-2)\/(-3). Suppose -c + 44 = 4*k, -k - 2*k = 3*c - 42. Calculate the greatest common divisor of w and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 7*o**2 - 4*o + 5. Let v(r) = r**3 - 10*r**2 - 22*r - 15. Let g be v(12). Let q(t) = t**3 - 8*t**2 - 5*t - 29. Let f be q(g). Determine m(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - ((-6)\/(-9) - (-44)\/6))\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16191056 is divided by 76?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zghxzgj. What is prob of sequence xj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 11:09 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55020 and 12?\nAnswer: 55020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*m + 4. Let r = -2 - 3. Sort m, 3, r in decreasing order.\nAnswer: 3, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3316 by 1658.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 3)**2 - (sqrt(48)\/sqrt(4))\/sqrt(4)) + (sqrt(15)\/(sqrt(50)\/sqrt(10)) + -5 + 3 + sqrt(3))**2.\nAnswer: 33*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357192911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1 + 1 + 3*y. Let k(g) be the third derivative of -g**4\/24 + 9*g**2. Calculate k(q(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 4*s + 4. Suppose 0 = -0*y - 4*y - 16, y = 5*r - 14. Suppose -10 = 4*j + r. What are the prime factors of i(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1.004, 5\/2, -1, 2\/39 in ascending order.\nAnswer: -2, -1.004, -1, 2\/39, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -386 times -4\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1509 - -2736. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f - 10*f + 32*f + 4*f**2 - 7*f + 6. Let s be u(-3). Suppose 2*k = 2*o + o + 5, 5*k + o = s. Solve -2*c - 2*c - 11 = -x, -5*c - 22 = -k*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -8. Suppose -5*d - 2*g + g = -34, 12 = 4*d - 3*g. What is the smallest common multiple of (60\/(-21))\/(o\/294) and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25393994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n + 2*w = 48, 0 = -5*n + 3*w + 38. Suppose 5*i = 12 + 18. Suppose -3*c = -5*z - i, 6*c - z = c + n. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 1. Let k(a) be the second derivative of a**5\/40 - a**4\/12 + 2*a**3\/3 - a. Let d(x) be the second derivative of k(x). Give d(r) + 4*h(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -102. Let o(h) = -5*h + 3. Let w be o(3). Let f = i + w. Solve -10 + 2 = -u - f*t, -u = 4*t - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/2, -296, -1\/3 in decreasing order.\nAnswer: 3\/2, -0.1, -1\/3, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3353402 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77)*2 + sqrt(77))*6)\/(1*sqrt(55)\/sqrt(5)) + (sqrt(448)*-2 + sqrt(7) - (sqrt(7) - sqrt(175)*6)))**2.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9720475 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -34035 (base 8) in base 13?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -828, -1664, -2500, -3336?\nAnswer: -4172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 - 681*m**2 + 11651712*m + 9781309440 = 0. What is m?\nAnswer: -1216, 2205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.7 + -7.611. Let k = p - -0.211. What is the biggest value in -3\/4, k, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 8*l - 4. Let s be q(-6). Let n = s + 19. Suppose -2*f = n*j - j - 10, -22 = -2*f + j. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)*g)\/g**(-2\/7)*(g*g**3)\/(g**(4\/5)*g)*(g**1\/g**(-8\/3))**14 assuming g is positive.\nAnswer: g**(11407\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*a - 29*a - 25*a + 10296 = 0. Let n(t) = 11*t**2 - 8*t - 6. Let c be n(10). Calculate the greatest common factor of c and a.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 8*k**2 + 7*k + 13. Let q be u(9). Which is the closest to -0.3? (a) -1\/3 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 5087 = 32073. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:43 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 10. Let s = -4 - -3. Which is the smallest value? (a) 2 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55425*i**2 + 21*i**5 + 55425*i**2)*(-5 - 2 + 1).\nAnswer: -126*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 18568.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-2)\/((-2)\/2). Let h(u) = -s + 5*u + 4 - 2 + 2. Let j be h(2). What is the highest common factor of j and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -419\/8 or -330?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((1 - 3) + 4). Let g = 0 - d. Let f = g - -1. Which is smaller: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3862 = 0.34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 640 = 4*c. Suppose 5*h - c = -4*o, -3*h + 64 = -o + 3*o. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 3*t + 8. Let n be y(-4). Let x(b) be the first derivative of b**2\/2 - 3*b + 3. Let z(i) = i - 2. What is n*x(o) - 6*z(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46270268 divided by -11?\nAnswer: -4206388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, l: 3, a: 1, k: 4, q: 2, j: 1}. Give prob of picking 1 l, 1 a, and 2 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14708 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -169, -3, -2, -1 in increasing order.\nAnswer: -169, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 6) + (3 - (10 - 12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -61, -3\/8, 4917 in descending order.\nAnswer: 4917, -3\/8, -12, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11128860 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.4 - 3. Suppose -3*l - l - 32 = 0. Let d be ((-4)\/l)\/(4 + -2). What is the closest to d in 4, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13352523 divided by 8?\nAnswer: -13352523\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1256 and 63\/1256.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2248*h**2 + 78 + 2249*h**2 + 19.\nAnswer: h**2 + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -60.96. Sort -0.4, 0.4, -5\/6, l, -40\/11 in ascending order.\nAnswer: -40\/11, -5\/6, -0.4, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 220 - 220.1. Which is the nearest to l? (a) -5 (b) 2\/3 (c) 0.02 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -7*v + 70. Let r be (0 + 43200)\/(v\/1875). What is r rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a meter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2365 to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -20*w**3 - 3*w**2 + 3. Let v(l) = -l**3 - l**2 + l + 1. Give -v(q) + z(q).\nAnswer: -19*q**3 - 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10*-10*(-3 - 0). Calculate the highest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35333 - 35332.39185. What is u rounded to 3 dps?\nAnswer: 0.608","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*w**2 + 40\/3 - w.\nAnswer: -(w - 5)*(w + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 137828, 137841, 137856, 137873, 137892?\n\"Answer: v**2 + 10*v + 137817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9084770 minus 1?\nAnswer: -9084771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 5587.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -3\/2 (c) -4 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 0.1 (c) -3 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Suppose 3*m + 4 - 4 = 0. Solve -i*n + m*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**3 + 457000*i**2 + 57957715*i - 58414720 = 0.\nAnswer: -91273, -128, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15523932 divided by 4\nAnswer: 3880983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 9:49 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*i - 35*i + 72*i + 19*i**2 - 1 in the form h*i + o*i**2 + m and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.9 - 10. Let l = 2.1 + y. Let p = -1.386 + 0.886. What is the nearest to p in -1, 3\/7, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 2\/5*b**2 - 8\/5*b = 0. What is b?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/((-110)\/(-88)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92369, -92370, -92371, -92372, -92373?\nAnswer: -92374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - d**4)*(-1 + 6 - 3) + 138*d**3 - 137*d**3 - 295*d**4 - 461*d**4.\nAnswer: -758*d**4 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -446*r**2 + 269*r - 22. Let i(s) = 223*s**2 - 136*s + 12. Let x(c) = 11*i(c) + 6*t(c). Find the second derivative of x(n) wrt n.\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 2c6?\nAnswer: 2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -6. Let y = c + 24. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**(-4)\/k))\/k*k)\/k*k\/((k**4\/k)\/k))\/(k**(-6)*k*k*(k*k**(-12)\/k)\/k*k))**(2\/49) assuming k is positive.\nAnswer: k**(38\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31190 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -595*q**2 - 86*q**2 + 106*q**2 in the form g + t*q + v*q**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80147 (base 11) to base 10.\nAnswer: -117300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 41 - -5 - -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/4 (c) -431 (d) 0.04 (e) 0.3 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4*l**2 - 6582225265*l + 6582225265*l.\nAnswer: -4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 241*g**3\/3 + 59*g**2 - 268. Find the second derivative of d(i) wrt i.\nAnswer: 482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 1. Let y be u(1). Let q = -57 + 70. Let o = q + y. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*x - 98 = 181*x. Is -0.23 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8867*q**3 - 25*q**2 + q + 1.\nAnswer: 53202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 0, -1\/4 in decreasing order.\nAnswer: 0, -1\/4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, 4\/25, 0, -1\/108?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15754488220 to the nearest 1000000.\nAnswer: -15754000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -15. Suppose -14 = -5*m + 1. Let a = m + -3. Solve -2*x = -a*x - z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9320.772 tonnes in milligrams?\nAnswer: 9320772000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 16 = 6. Let h be v*-1 - (-5 - 9). What are the prime factors of (4 - (-424)\/h)\/(1\/3)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 353*a*r**3 - 3*a*r**2 + 2*a*r + 3*a + 116211*r**3 - 249712 wrt r.\nAnswer: 2118*a + 697266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5.9, 0.4, 412?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 391, 992, 1809, 2836?\nAnswer: 4067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 258453*f**3 + 5566108401*f**2 + 16700651361*f.\nAnswer: 3*f*(f - 43077)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*((sqrt(605) - sqrt(605)*1) + 3) + 1*sqrt(605) + 4 + 1*-1*sqrt(605))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 41*v**2 - 415*v + 17. Calculate z(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -149.87. What is the closest to -0.1 in m, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 4)*(-2*h + h + 2*h) + 2*h - 2*h - h + (0*h - 2*h + 0*h)*(-1 + 14 + 1) in the form j*h + p and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17656423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*c - 4*m - 40, -5*c - 2*m = -17. Suppose -3*x = -2*g + 21, 4*g + c*x - 3*x - 50 = 0. Solve 0*w + 2*q + 14 = 4*w, 4*q = -g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -29*o - 20. Let l be w(-8). Let a be -2 + l\/8*2. What is the highest common factor of a and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 m when four letters picked without replacement from bmlmllmmjlljlimlblb?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**(18\/5)\/(g**(4\/5)\/g*g**2))\/((((g*g**(-2))\/g)\/g)\/(((g\/(g\/g**(1\/6)))\/g)\/g))**(-4\/15) assuming g is positive.\nAnswer: g**(-176\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 8) to base 11.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p, 15*m = 20*m + 3*p - 35. Sort -5, 2, m, 5 in increasing order.\nAnswer: -5, 2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1517 = -8*d + 1083. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 7*t**3\/6 - 2*t**2 + 3*t. Differentiate b(k) with respect to k.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1005*i**2. Let z(p) = 4333*p. Calculate r(z(k)).\nAnswer: 18868763445*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2377*h**2 + 2377*h**2 - 61*h**4 + (-4*h**4 + 4*h**4 - 5*h**4)*(0 - 2 + 3) + 2 - 2 - h**4 as j*h**3 + v*h + p*h**2 + d + b*h**4 and give b.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 9:07 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133081375 and 4375.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-1)\/(-1 + (0 - -2)). Suppose 5*y - 4760 = -3*z + 385, j*y = -3*z + 5139. List the prime factors of z.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-92)*397 - 8 and -61\/92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4508.514 millimeters to nanometers.\nAnswer: 4508514000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/10)\/((-1)\/5). Suppose -a*j = -4*w + 9, -5*j + 3 + 5 = w. Find the second derivative of -3*s**3 + 296*s**5 + 3*s**w - 264*s**5 - 30*s wrt s.\nAnswer: 640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 14*j - 32*j - 25*j - 124 + 55*j.\nAnswer: -20*j - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(10) + 2)*3 + -3 + 4*sqrt(78)\/(sqrt(6) - (sqrt(6) + sqrt(48)\/sqrt(8))) + 3.\nAnswer: -sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*h = 2*h - 33, 0 = -f + h + 9. Let d = 8 - f. Put d, -4, -1 in descending order.\nAnswer: d, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2*i + 16 - 12 = 0, -o = -3*i + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 862417931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4085, 4068, 4041, 4004?\n\"Answer: -5*t**2 - 2*t + 4092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 3*n**2 + 2. Let a be 1\/((-3)\/(-15) - 54\/195). Let s = a - -16. What is i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 3. Suppose 1 - 17 = 4*o. Let i be z(o). Let x(t) = t**3 + 6*t**2 + 6*t + 5. Let f be x(i). Solve -l - 5*w + 17 + 7 = 0, l - 5*w + 26 = f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6403, 6401, 6399, 6397, 6395, 6393?\n\"Answer: -2*f + 6405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 21*d**2 + 18*d - 67. What is the tens digit of f(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 - (0 - (-4 - -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5404 + 5404 - 9*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 63421501, 63421500, 63421497, 63421492?\n\"Answer: -n**2 + 2*n + 63421500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400*n = -260*n + 60*n + 698*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 410 - 5?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 583 = -5*k, 2*x - 2*k + 1130 = 6*x. Let r = -4830\/17 + x. Sort 1\/4, 2, -3\/5, r in decreasing order.\nAnswer: 2, 1\/4, r, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -26 + 8. Let k be ((-4)\/3)\/((-6)\/w). Is 102\/14 + k\/(-7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -21*i**2 + 14*i. Let h(d) = -4*d**2 + 3*d. Let x(b) = -14*h(b) + 3*m(b). Let u(r) = -2*r. Give x(u(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 754 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -279 (b) 11\/3 (c) 1\/3 (d) 2\/9 (e) 462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 10 + 4 = 0. Suppose -k + 4*r = 17 + 1, 12 = -4*k - 4*r. Let t be s*8\/k + 539996. What is t rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(-3\/4)\/w*w)\/(w**(2\/11)*w*w))**41 assuming w is positive.\nAnswer: w**(123\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 64 = -4*n, 22*n - 27*n - 365 = 62*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87417, -87395, -87381, -87393, -87449, -87567?\n\"Answer: -3*c**3 + 14*c**2 + c - 87429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 10*f = -30. Suppose t - 12 - f = -2*q, -2*q = 5*t - 42. Calculate the remainder when (-1 - -3) + 80*1 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165 + 120 - 1363*t + 45 to y*t + p and give y.\nAnswer: -1363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16 = -0. Let r be -6*((-45)\/10 - u). Solve 0 = -3*d - 4*k - r - 6, -3*k = 5*d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 39. Let d = -2 + 3. Let p be 104*(d - (-1)\/(-2)). Calculate the greatest common factor of c and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0*o**2 - 3*o - 1\/24*o**3 + 0 - 1\/96*o**4. Factor j(y).\nAnswer: -y*(y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 = -r + 37, -80 = -3*r + 5*x. Let q(v) = 6*v + 71. Let b be q(-11). Solve -2*t - b*o - 16 - 13 = 0, -r = 4*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12574 - 12524. What is the third biggest value in 0.2, 0, d, 5, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3) + (-214 - -229) + 35\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23933 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = d + 2*a, -4*d - 2*a = -5*a - 130. Let h = 13 + d. Let j = h + -22. Is j at most as big as 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 53900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35949848?\nAnswer: 2, 11, 139, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 2*g - 2. Let z = -25 + 10. Let u = -4 - z. Let h(o) = -21*o**2 - 2*o + 6 - 9*o + 5. Give u*n(x) + 2*h(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -799*q**3 - 2698 + 1347 + 1351.\nAnswer: -799*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -553660\nAnswer: 553660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8184928l to millilitres.\nAnswer: 818.4928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4929 - -4019. What are the prime factors of s?\nAnswer: 2, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-2520)*-15)\/((-10)\/7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0282014 weeks?\nAnswer: 17056206720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r - 14. Let z be t(10). Let n = 95\/2 - z. Is -1\/3 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175.594 + 177.87093. Let k = 27.276952 - n. Let s = 25 - k. Round s to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -203 - -3?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/109? (a) 40842 (b) -2 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + g - 47, 2*y + 10 = 4*g + 42. Calculate the remainder when y is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57787, -57783, -57759, -57703, -57603?\n\"Answer: 2*j**3 - 2*j**2 - 4*j - 57783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7371489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*6\/(96*22\/33)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.60515m in micrometers?\nAnswer: 63605150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -54677 divided by -5?\nAnswer: 54677\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -26 + 2. What is the smallest common multiple of c and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*i + 8*i = -522012, -2*j - 2*i = -208794. What is j rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 13 - 7. Let g(f) = f - z + 2*f + 2 + 6. What is the common denominator of -43\/9 and g(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-5 - (5 + (-40 - 7)))) + 8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1*sqrt(119)\/(6*sqrt(7)*2))*-2)**2.\nAnswer: -2*sqrt(17)\/3 + 161\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.10764821\nAnswer: -0.010764821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -0.1 (c) -0.0269 (d) -3 (e) 0.2 (f) -0.2 (g) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/19 - (-2 - -4 - 0). Solve -o = l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -660*d**3 - d**2 - 863*d + 863. Determine p(1).\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + l - 2. Let g = 4 - 6. Let x be o(g). Let r = 1\/30 - -1\/15. Are x and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-6))\/((-1)\/(-169)). Let w = r - 2200\/13. Is w != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 180.974 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times 40067?\nAnswer: -1081809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.88 plus 0.2?\nAnswer: -19.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -162, -234, -316, -414?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*(p**(3\/8)\/p)\/p)\/p**(-5\/2) assuming p is positive.\nAnswer: p**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 21*z**2 - z - 25. Let p be u(-21). Sort p, 0, 20, -3 in ascending order.\nAnswer: p, -3, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767531.1 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 - 3*a - 15. Suppose -3*g - 16 = c, 5*g + c + 36 = 6. Is q(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (2*((sqrt(832) - -2*sqrt(832)) + sqrt(832)) - sqrt(832)) - (sqrt(832)*2 + 2)**2) + -1.\nAnswer: -3333 - 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r**4 + 9*r + 2*r**2 + 14*r - 3*r**2 - 15*r**4 - 1 to n*r + b*r**4 + t*r**3 + w + l*r**2 and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19517 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -29*r**4\/4 - r**3 - 3*r + 57. Let q(h) = -57*h**3 - 5*h**2 - 5. What is -3*q(n) + 5*v(n)?\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**4\/12 - 2*z**3 + 59*z**2\/6 + 66*z - 5244. Find a such that x(a) = 0.\nAnswer: -2, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29 + 6 + (-5)\/1. What is the highest common factor of 330 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {e: 1, o: 5, s: 2, m: 1, c: 2, v: 5}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -811*q**5\/5 + 2740*q + 652. Differentiate n(g) wrt g.\nAnswer: -3244*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 4*c - 3. Let w be n(-1). Suppose x - w*r + 58 = 5*x, 0 = -2*r + 10. Calculate the remainder when 58 is divided by ((-32)\/x)\/((-6)\/45).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*z + 2*z - 2, -2*b - 23 = -3*z. Suppose 2*u + 66 = 2*n, 0 = 5*n - z*u + 2*u - 155. Solve c + 6*h = h + 18, -4*c + 5*h - n = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -1001001111110001011?\nAnswer: -1001001111110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20610461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22227232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7152?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 32*g**2 - 112*g - 155. What is p(28)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - (12 + -1)) + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(8)))**2.\nAnswer: -16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*3*(sqrt(700) - (sqrt(700) - -1*(sqrt(700) - (sqrt(700) - (sqrt(700) + 2)))) - -4*(sqrt(700) + -2)))**2.\nAnswer: -1152000 + 108000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y - 4*y - 6*y - 3*y. Let q = -755 + 766. Let m(s) = 21*s. Let t(b) = q*i(b) + 2*m(b). Let v(h) = h**2 - 25. Calculate v(t(g)).\nAnswer: 4*g**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(5 - 0))\/(118\/295)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(6\/7)*c**(1\/15) assuming c is positive.\nAnswer: c**(97\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4972801604 to the nearest integer?\nAnswer: 70518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5 + 24516*d**2 + 64*d - 1282?\nAnswer: 20*d**3 + 49032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -3 - (-16 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 31, 21\/4, -1\/4, -0.1 in descending order.\nAnswer: 31, 21\/4, -0.06, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*x = 6*x. Let v(q) be the third derivative of 1\/30*q**5 + 0*q**4 + 0 - q**2 + x*q**3 + 0*q. Let f(w) = -w. Give v(f(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from {l: 6, n: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/114*-72*(-418)\/528.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 4) + 2\/(-1). Let w(f) be the first derivative of -f**3\/3 - 23*f**2\/2 + 11*f + 41. Does 13 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -130245?\nAnswer: -130252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 (base 4) in base 7?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 9 - 9 = 0. Suppose q = 3*q + 8, 2*x + q - 44 = 0. Let g = x + w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (106 - 112) + (0 - 12)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*3\/(-4) + -1. What is the smallest value in 4, b, 4\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*s**2 - 204*s**2 + 431*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/41196?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728558 is divided by 143.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 - 0 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4\/5))\/a*a**(-2\/21)*(a**1)**(-6\/13) assuming a is positive.\nAnswer: a**(-1852\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -10, -0.04 in decreasing order.\nAnswer: 1\/4, -0.04, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 104. Suppose -4*m + m = -i. Suppose -10*s - 17 = -14*s - 7*t, -s = 2*t - 4. Solve m = s*c - 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 156.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -i - 12, -i = -5*i + 3*k - 18. What are the prime factors of 1\/i - (-7735)\/42?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(78) - (sqrt(78) - -2*(sqrt(78)*3 + sqrt(78) - sqrt(78)))) + sqrt(78)))\/((sqrt(54) + sqrt(378)\/(sqrt(49)\/sqrt(7)))\/sqrt(9))*2.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-3) + 1)\/(-2). Suppose -10 = 7*d - z*d - 5*o, d = -4*o + 3. Let g be (-33)\/12 + (-2 - -5). Is g greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230220439.\nAnswer: 1583, 145433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/21)\/(1\/(-7)). What is the highest common divisor of o and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4 - j**3 - 9*j**2 + 9*j = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 15 + (10 - (15 + 1)) - -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5373385307?\nAnswer: 19, 43, 293, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c - -13?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/16 and 2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 3:46 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 4*w**2 - 5*w**2)*(-470 + 470 + 8*w) + (3*w + 3*w - 5*w)*(-w + w - 3*w**2) + (0*w + 4*w - 5*w)*(17*w - 4*w**2 - 17*w).\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2. Let z(b) = -3*b + 36. Let u(a) = 3*a - 34. Let x(c) = -2*u(c) - 3*z(c). Give x(w(f)).\nAnswer: -12*f**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -14. Let u = 215 - 217. Let y = j - u. Which is the third smallest value? (a) -0.5 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*2\/(-12)*-6. Let c be (0\/o)\/(-1 - 1). Let p(w) = -w**3 - 3*w**2 + 2*w - 6. Let l be p(-4). Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -34*g**2 - 2*g - 2. Let u be h(-1). Let d = -36 - u. Which is the nearest to d? (a) -2 (b) -3\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 3\nAnswer: -110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 11*h**6\/30 + 31*h**2\/2 + 16*h. Find the first derivative of j(x) wrt x.\nAnswer: 44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/9, -4.39.\nAnswer: -4.39, -2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, 0.2, -0.3, 1, 206.1, -10, 2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -352395 or -352396?\nAnswer: -352395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4047\/9)\/19 - (1460\/2336 + (-115)\/(-8))?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.70995 to two dps.\nAnswer: -89.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 6*t + 5. Let c be u(-5). Suppose -4*b - 2 = -2*x, -2 - 23 = -5*x. Solve b*q = 2 - c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -3.441\nAnswer: 1.3764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2049754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d. Let c(z) be the second derivative of 3*z**3\/2 + z. Let j = 17 - 19. What is j*c(g) - 5*m(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m**2 - 2*m + 6 + 0*m**3 + 8\/5*m**5 + 0*m**4. Find the first derivative of f(q) wrt q.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - 0.38. Let h = j - 3.7. Let u be ((-2)\/8 - 0)\/((-20)\/64). What is the third smallest value in h, u, 2\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**5*m\/m**0*(m**(-1\/3)*m*m)**(-6\/11) assuming m is positive.\nAnswer: m**(67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 22*s**2 + 715*s - 6259. Determine y(9).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3764678238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/k**(-5\/6))**(-28)\/((k**(-1))**10*k**(-2\/3)\/(k\/k**(-6))) assuming k is positive.\nAnswer: k**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/76*(-2)\/3)\/((-5)\/(-2))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.072 + -0.072. Sort 1\/3, -1172, n in descending order.\nAnswer: n, 1\/3, -1172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 6*u - 1032. Let q = u - 60. What are the prime factors of q?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:42 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o - 2674848 = -2*o. Let t = o + 228664. Round t to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Let j(d) = d**2 - 5*d + 1. Let v be j(6). Suppose -v*p = -2*p - 5. Put c, p, 1\/3 in descending order.\nAnswer: c, p, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 185 - 137. What is the units digit of (-40)\/(-16)*o\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4287455223 and 802?\nAnswer: 4287456025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -50. Let j = 30 - o. Which is the third smallest value? (a) j (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1340*(-32)\/8640 - -5*1.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 224730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.025 and 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64.0031 - -64. What is k rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 84?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(sqrt(49) - sqrt(441))\/sqrt(7)*1.\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.1. Let i = j - 0.3. Let n = 0.4 - 0.2. What is the biggest value in n, -0.3, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tit when three letters picked without replacement from pkidtiiiiikkt?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 9*o**2 - o + 1. Let v = -7 - 0. Let w be b(v). Suppose 0 = -4*m + 614 - w. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -2664.31\nAnswer: 2664.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 + 30*b + 2*b**2 + 22*b - 38*b - 13. Let k be r(6). What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68))**2*1.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20646, -20577, -20464, -20307, -20106, -19861?\nAnswer: -19572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14967*b**2*d - 29*b**2*o**2 + b**2 - 27*b*d*o**2 + 94*b*o**2 - 5*b wrt d.\nAnswer: -14967*b**2 - 27*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122 - -3?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.08 (b) 3 (c) 8\/23 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 21.2.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.9 (b) 0.027 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1144*m**4 + 50*m**3 + 10514*m**2 + m + 1?\nAnswer: -27456*m + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 725264. Let u(z) = -z**2. Calculate y(u(x)).\nAnswer: x**2 + 725264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -3 (c) 1 (d) -9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*n - 14 = -218, -2*n = -i + 96. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/6)\/(21\/(-63)). Let w(t) = 8*t - 108*t + y*t + 3*t - 31*t. Let b(n) = 3*n. Give b(w(o)).\nAnswer: -351*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 441*t - 72240. Give b(163).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -410*i**2 + 21*i + 29. Let p be c(-7). Let a = 63587 + p. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 38107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-11)\/(-88))\/((-472)\/(-1120)) and -7\/5.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = 0, y - 2*g + 158 - 157 = 0. Let j(w) = 47*w**2 - 3*w + 5. Let d(h) = -h**2 + 1. Let a(b) = -3*d(b) + j(b). Is a(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 6 - 2 - 9 + 796*u + 2*u**2 in the form r + g*u + t*u**2 and give g.\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103588*b**4 + 3*b**3 + 253725*b**2?\nAnswer: 2486112*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 431433\/33544 + -99\/599. Let u = 76587\/8 + -9590. Let d = u + w. Calculate the common denominator of 53\/10 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 13004?\nAnswer: 104032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/3 + 1654*x**2\/3 + 222552*x = 0. Calculate x.\nAnswer: -297, 0, 1124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(48)\/sqrt(4)*5 + sqrt(12)) - 2*-2*sqrt(500))**2.\nAnswer: 290405\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 59. Calculate the least common multiple of x and (6\/4)\/(2\/12).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2415 - -34. Let t = 2381.00001123 + n. What is t rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.059858 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -66*x**2 - 485*x + 375. Calculate g(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -11.6\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36843 is divided by 5034?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-820)\/(-60))\/((-1 - 1)\/(11\/(605\/330))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -3897?\nAnswer: 3896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*f*y**4 + 2*f*y**2 - 23*f*y - y**4 - y**3 wrt y.\nAnswer: -1200*f*y - 24*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41636, -41702, -41808, -41954?\nAnswer: -42140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6136.041 + 6132. Let o = s - -0.041. Put -0.3, o, -0.2, 2\/5 in descending order.\nAnswer: 2\/5, -0.2, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31497800 to the nearest ten thousand.\nAnswer: -31500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804864640 to the power of 1\/2, to the nearest integer?\nAnswer: 42484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17644 + -17519. Calculate the remainder when 397 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*q + 9. Let d = q + -5. Let y(p) = p**3 - 6*p**2 + 4*p + 7. Let g be y(5). Solve -4*s + c + 1 = d, -2*c + 0 - g = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - 14. Let m = t - -32. Suppose u + m*u = -7. Sort -4, -5, u in decreasing order.\nAnswer: -4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oslossxxsxsoooosooo?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -5879*h**5\/60 - 1045*h**3\/2 + h**2 - 4563. What is the derivative of m(c) wrt c?\nAnswer: -11758*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + 10 + (-16 + 81 + -83 - (-25 - -1)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 5:49 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*-6 + -2. Let f be (-2)\/((-1)\/(-2)*d). Let l be 1*-1 - (f + 130\/45). What is the second biggest value in 1\/5, 5, l, -1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.99 and -1507474028.\nAnswer: -1507474027.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 2, f: 2, a: 1, s: 6}. Give prob of sequence ss.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1044?\nAnswer: -313.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-9)\/(-48))*5049\/(-44)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (11 - 20 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*n**3*q**3 + n**3*q**2*x - 6*n**3*x**2 + 2*n*q**3*x**2 wrt x.\nAnswer: -12*n**3 + 4*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d - 11. Suppose 60 = 5*k + 5*j - 0*j, -5*k = -2*j - 67. Suppose k = 2*g + 13. Determine z(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**4 - u**4 + 2*u**4)*(4 - 3 + 3)*(-1 + 3 + 1) in the form y*u**2 + v*u**4 + f + g*u + b*u**3 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -67. Suppose -7*w = 4*i - 3*w - 12, -3*w + u = -i. Solve i = 4*q - 3 - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241501 + -241501. Suppose 1\/3*q**4 + 1\/2*q**5 + 0 - 1\/2*q**3 - 1\/3*q**2 + d*q = 0. What is q?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -0.2, -0.3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -879 = -878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**6\/360 + k**3\/6 - 3*k**2. Let w(c) be the first derivative of g(c). Let b(y) = -y. Calculate b(w(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (-6)\/2*-1. Let m be -3 + (n - -2) + 3. What is the second biggest value in 0.4, m, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 2*d + 35. Calculate a(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74436 and 2109020?\nAnswer: 6327060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b3b - 30a9b?\nAnswer: -31a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 55?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 11 = -4*t - 12*i, 5*t - 3*i = -7. Let j be (-9*3\/(-9))\/(-1*1). Put -1\/12, j, t in decreasing order.\nAnswer: -1\/12, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 451447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1514 and -37\/6.\nAnswer: 4542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*b*u + 14*b - 8*u**4 - 176*u**3 + 911 wrt u.\nAnswer: -56*b - 32*u**3 - 528*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 52 + 45 + 52 - 290 + 27*y + 98.\nAnswer: 27*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7168244, 7168242, 7168240, 7168238, 7168236, 7168234?\n\"Answer: -2*r + 7168246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 32*d**3 - 33*d**3 + 5 + 3*d**2 + d + 4*d**2. Determine o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5990876, -11981752, -17972628?\nAnswer: -23963504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2758060 and 43\/29875?\nAnswer: 68951500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 11*y + 12. Let s be k(11). What is the second derivative of s*q - 28*q - q**2 + 3*q**2 wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = i + 605. Let o = i + 1379. What is the tens digit of 2\/10 - o\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i = -26*i - 9. Let x be ((-14)\/(-3))\/((-1)\/i). Is (x\/(-8))\/(14\/504) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -432379 - a?\nAnswer: -432387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.303 + 0.587. Let q = n + 0.11. Let u = -28 + 29. What is the nearest to -2\/3 in u, -5, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10b36 - 5?\nAnswer: -10b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 5. Let z(g) = g - 2. Give -3*a(c) - 8*z(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 + 4*k + 4. Let u be m(-2). Let j = 20 - u. Solve 0*s = -j*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - r - 16. Let f(p) = 6*p**2 + 2*p + 52. Let w(n) = -6*f(n) - 19*y(n). Calculate w(4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-12) + 401*1\/1335. Let o = g + -3\/89. Sort 4, o, 1, -3 in increasing order.\nAnswer: -3, o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5887 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/3 - 11*l**3\/3 + 14*l**2\/3 + 8*l = 0.\nAnswer: -12, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 2530?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b**6 + 0*b**4 - 6*b**2 - 1\/42*b**7 + 0 + 0*b + 0*b**5 - b**3. Differentiate s(j) with respect to j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 5268055.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3112 and -32?\nAnswer: -99584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 4110878*v + 4224829482721.\nAnswer: (v + 2055439)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrrrrrwrwrrwrrrrrww. Give prob of picking 3 r and 1 w.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010169573 rounded to six dps?\nAnswer: 0.001017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + h**2 + 2. Suppose 325 = 7*w + 311. Determine z(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 6.399?\nAnswer: 7.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 477\/20 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3188 divide 61656851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*j + 1109 + 32, -s + 4 = 0. Which is the smallest value? (a) j (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15215 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*a - 7. Let f = 391\/3 + -1918\/15. Find the common denominator of f and (2\/(-8))\/(a*(-2)\/(-129)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5004 - 4991. Calculate the remainder when 335 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-228)\/(-16) + (-2)\/8. Suppose -134 + 34 = -34*x + 478. Are o and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.545749483 rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/sqrt(28))**2 + (sqrt(52) + (sqrt(52) + 1 - sqrt(52))**2)*-4.\nAnswer: -8*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6ee5 - -3?\nAnswer: 6ee8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29899, -29919, -29939, -29959, -29979, -29999?\n\"Answer: -20*x - 29879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75.41 + -70.3. Let n = 0.11 - t. What is the nearest to 1\/2 in n, -3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avv when three letters picked without replacement from vtthvnttnaaathn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100242641 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/115)\/(4\/70).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 44 = -2*n. Suppose -o + n*f + 15 = 3*f, -5*o - 3*f + 36 = 0. Sort -4, o, 4 in descending order.\nAnswer: o, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -199017 (b) -0.6 (c) 2 (d) 5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 17*s - 4. Let c = 57855 + -57821. What is the remainder when d(8) is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 658 = 5*k + r - 611, -3*k - 5*r - 89 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g. Let b(o) = -o**3 - 2*o**2 + o. Suppose -13*v + 9*v - 4 = 0. Calculate v*b(n) - j(n).\nAnswer: n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10698775 and 2995657?\nAnswer: 74891425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1) + -4 + 0. Let x(t) = t**3 - 5. Let r(s) = -5. Let c(y) = p*r(y) + 7*x(y). What is the derivative of c(g) wrt g?\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 7:09 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3*b + 30 = b, -3*d + 5*b - 31 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5 + sqrt(847) + -3*sqrt(847) + sqrt(847) - sqrt(847)) + sqrt(847))**2.\nAnswer: -220*sqrt(7) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(175) + -1*sqrt(175)) + sqrt(175))\/(sqrt(567)\/sqrt(9)))\/(6*sqrt(55)\/((sqrt(11) + sqrt(55)\/sqrt(5))*3)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173993?\nAnswer: 173993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/20 + -73\/60. Let z = 350\/279 - 32\/31. Sort z, a, 0.5, -5 in ascending order.\nAnswer: -5, a, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*m = 381*m - 2079 for m.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**5\/5 + 2972*y**4\/5 + 11532*y**3 + 191844*y**2\/5 + 27432*y = 0.\nAnswer: -15, -3, -1, 0, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*u - 28, 2*u + 3*a = -0*u - 13. Sort 2, u, -3 in descending order.\nAnswer: 2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1.2, 3 in ascending order.\nAnswer: -4, -1, 1.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3741 + 3748. Let a(o) be the third derivative of 0 - 1\/840*o**t - 16*o**2 + 0*o**3 + 0*o + 0*o**4 + 1\/120*o**6 - 1\/80*o**5. Factor a(d).\nAnswer: -d**2*(d - 3)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7*(-68 - -75).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*s - 1 - 24, -g = -s - 3. Let m(n) = 2 + 0*n - 2*n + n - g. What is m(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -5*y + 1\/3*y**3 - 6*y**2 + 1. Let v be w(12). What is the nearest to 0.1 in v, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001983557662 rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -18*m - 5. Determine s(5).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(14\/(-4) - -2). Let r = 5.1 + -2.1. Which is the third smallest value? (a) l (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 9*n + 84 + 167 = 4*h, 45 - 1 = h + 5*n for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114085 and 13295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 10256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.1 + 4. Let h = 0.4 + l. Let x be 2 + 0 - 8\/20. Sort x, h, -4 in increasing order.\nAnswer: -4, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92103 and 2937?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-20) + (-10 - -8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -3*j + i, -i - 15 = -14. Let p(x) = x - 2. Let k be p(2). Put j, k, 4 in descending order.\nAnswer: j, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/128 and 99\/20.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 465a6 - 4?\nAnswer: 465a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - y**2 + 4. Let b be u(0). Let g be (-12)\/54 + 47\/9. Differentiate b*p**2 - 8*p**4 - g - 4*p**2 with respect to p.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q**3 + 22 + 6*q**2 + 17*q + 5*q**2 + q**3 - 33. Let r be j(-9). What is the units digit of ((-7)\/r)\/(-3 - 129\/(-42))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/6 + 85*z**2\/6 - 105*z\/2 - 135\/2.\nAnswer: -5*(z - 9)**2*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - 3*b - 15. Let c(w) = -7*w**2 + 5*w + 31. Let d(y) = -4*c(y) - 9*s(y). Is d(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*u**2 + 2*u**3 - 3085*u + 2 + 3085*u to d*u**2 + o + s*u + p*u**3 and give d.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3305051 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 470, 115036, -0.2 in descending order.\nAnswer: 115036, 470, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**9\/30240 - r**7\/2520 + r**5\/240 - r**4\/6 - 4*r**2. Let x(j) be the second derivative of i(j). Suppose x(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -3. Suppose -o*u + 20 + 5 = 0. Let r be 1\/1 + (u - 2). Solve 6*t + 8 = r*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -12 - (5 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*x - 10 = 0, -377*v - 372*v - 26 = -750*v + 9*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u - 4. Let n(p) = -p + 2. Let y be n(-4). Let a be q(y). Let x be (-2 - -1 - 1)*a. What is the highest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 6*t + 10. Let b be q(8). Let u = 10 + b. What is the lowest common multiple of 7 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7475.4737 rounded to the nearest ten?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*y. Suppose -20 = -x - y*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 13*i - 42. Solve 5*o + i*z + 35 = 0, 3*o + 0*z - 3 = 5*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*w + 2 + 3*w + 19*w + w + 3*w - 3*w + 0*w - 2*w + 3*w + (-1 + 0 + 3)*(-w + 4*w - w) + 4 + w - 4 + w + 0 + 0.\nAnswer: 53*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6394.619 to the nearest one hundred.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63433 (base 8) to base 4.\nAnswer: -12130123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3699?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8915637254 + 4127931240949\/463. Let d = -19023 - m. Is -1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 25. Suppose -2*p + 110 = -5*d - p, -64 = 3*d - p. Let y = i - d. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -2)\/(((-3)\/27)\/(914\/(-53469)))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 1648*z - 1645*z - 8 = 0, -4*z = -16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-25))\/((-44)\/(-220)). Sort -1, 4, 2695, -4, x.\nAnswer: -4, -1, x, 4, 2695","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auuwwuvaubvujvuvbvw. Give prob of picking 1 w and 3 u.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 3*o**2 - 10*o**2 - 3*o**2 + 2*o**2 - o**2 - 3*o**2 + 0*o**2 - 2*o**2 + (-3*o - o**2 + 3*o)*(2 - 2 - 1).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*u - 188*u = 6 + 390. Solve 2*d - 5*d + 14 = s, -u = -5*d - 3*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1236091*s**3*x - 15*s**2 + 985*s*x - s - 331*x - 2 wrt s.\nAnswer: 7416546*s*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvl when three letters picked without replacement from {l: 1, v: 4, w: 3, e: 1, k: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.07 (b) 1.9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59354 - -88519. List the prime factors of j.\nAnswer: 5, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 2*v + 12*v**2 - 1 + 4*v + 3*v. What is the smallest common multiple of m(-1) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*f + 0)*(-3*f - 3*f + 4*f) - 2*f**2 + 2*f**2 - f**2 + 4*f**2 - 4*f**2 + 2*f**2 - 22*f**2 + 10*f - 10*f + 4*f**2 + 7 - 7)*(-2 + 3 - 3).\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let p(l) = -11*l - 2. Let z(i) = 5*j(i) + p(i). Let d be z(-2). Solve 2*c - m + 6 = -7, 0 = -5*c + 2*m - d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 3*r + 2. Let x be i(2). Let s = -4 + x. Suppose -25 = -y - s. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605924691 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 17*i**2. Let t(j) = 22*j - 11*j - 13*j. Calculate t(n(o)).\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n + 37*n - 26*n + 39*n = -1558 for n.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 9) in base 2?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.4, -3\/4, -1\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 90 + 4*c**2 + 168*c**2)*(-1 + 1 + 5*c).\nAnswer: 860*c**3 - 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 3*p + 15, 4*p - 2*a + 19 = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 61. Let k(v) = v**2 + 2*v + 1. Let t(p) = 35*p + 34*p - 2*p**2 - 2 - 73*p. Give x*k(c) + 4*t(c).\nAnswer: -c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 2*k**2 + 3955*k - 7704*k + 3851*k)*(5 - 5 - 2*k) to the form d*k**2 + q*k + o*k**3 + b and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 11757 = 717. Suppose 160*w - n = 156*w. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1416 and 102?\nAnswer: 24072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 445207350 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 9:55 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(448)*3.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 529392 to the power of 1\/2, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -20. Suppose -4*k + 4*t = -24, -m*k + 12 = -t - 3. Suppose 0*h + 117 = k*z + 2*h, -5*z = 4*h - 197. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from zzqzzzqzzzqzzzqqbqz?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2488.629904 + -2483.63. Let w = q + -5. What is w rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/40*(-1 - (-3)\/(-3)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:08 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5\/5 + k**4\/5 - 41*k**3\/5 + 31*k**2\/5 + 184*k\/5 + 112\/5 = 0.\nAnswer: -7, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726702 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-916)\/(-16) + 3\/4. Suppose -5*a = 2*v + 140, 234*v - 44 = 235*v - 4*a. Let u = v + m. Sort -1, 3, -3, u in descending order.\nAnswer: 3, -1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -197118.54359?\nAnswer: -197117.54359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -839 + 1131. Calculate the remainder when b is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11\/2, -0.3, -2.876?\nAnswer: -2.876","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p = -o - 763, 5*o - 1945 = -5*p. Suppose -p = w - 9*w. Suppose 5*x - w = -x. Calculate the greatest common factor of 20 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.4 and -1269330 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -23707.\nAnswer: 37931.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 623322?\nAnswer: 623322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t + 12. Let r = -0.76 + 0.7. Let h = -0.34 + r. What is the second smallest value in -0.2, t, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**3 + 2*l**2. Let c(b) = -2*b**3 - b**2. Let d(x) = -11*c(x) - 4*q(x). What is the third derivative of d(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Suppose f*i = 5*m + 1 - 4, 3*m - 9 = 0. Suppose o + 2*o = 0. Put o, i, -3 in increasing order.\nAnswer: -3, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-128)*(-13072)\/4085\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (7 - (-2 + 6)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q - 4*c, -4*q = -2*c + 4*c - 26. Let a = q - 0. Let j be 3 - (-1 - (-1 - 2)). Are a and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1385*a**3*o**6 + 36*a**3*o + 4*a*o**2 wrt o.\nAnswer: -166200*a**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + ((-3 + 1 + sqrt(1872) - (-6*sqrt(1872)*3 + sqrt(1872))) + -3)**2*1.\nAnswer: -2160*sqrt(13) + 606557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5663608 decades to millennia.\nAnswer: 0.005663608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 148*p**2 + 1. Let x(h) be the second derivative of -h**4\/12 + 427*h. Calculate x(v(a)).\nAnswer: -21904*a**4 - 296*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-280)\/36 + 3 - -5)\/((-20)\/(-30))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159\/2 + -81. Suppose 0 = 2*g + 5*w - 10*w + 13, -4*g - 5 = -3*w. What is the nearest to 0.1 in -2, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 8. Which is the nearest to r? (a) -2 (b) -0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -119 + (585 - 534)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 536427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 38 + -57 + -19 + -3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 - 3*n**2 - 2*n**2 + (-n - n + 3*n)*(-1 - n + 1) - n**2 + n**2 + 2*n**2 + 3*n**2 - 3*n**2 + 2*n**2 to the form p + v*n**2 + o*n and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 132b + 0?\nAnswer: 132b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5448 and 302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 14*m - 8*m - 270. Solve 353*r - 338*r - m = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -46 (b) -1 (c) 0.581 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13586\/3 - -4528. Put o, 6, 2\/7, -9, -2\/21 in increasing order.\nAnswer: -9, o, -2\/21, 2\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + 0 + (sqrt(2)*2)**2 + 3 + (2*sqrt(2)*1 - (sqrt(10)\/(sqrt(5)*2) + sqrt(2))).\nAnswer: 11 + 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6*d + 270. What are the prime factors of 2\/(-3)*d\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 604097.3 millennia to years.\nAnswer: 604097300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4736885144?\nAnswer: 2, 23, 41, 627901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*u + 9, -3*c = 5*u - 2*c - 3. Suppose u*x - 24 = 3*x. Let f = -6 - x. Solve -f*a + 2 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 6, p: 2, a: 1, e: 10}. Give prob of sequence ppx.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 (base 11) in base 16?\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 - -108124?\nAnswer: 108174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1311034657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119\/(-17))\/((10\/(-2))\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 7.\nAnswer: -7, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 2\/21, -7, -2\/19, 1\/5, -5 in descending order.\nAnswer: 1\/5, 2\/21, -2\/19, -0.6, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 100*w + 106. Give j(49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1 + 0 - 4*f**3 + 3*f**3. Let n(s) = 2*s**2 + s + 9. Let m(d) = 2*d**3 - 23*d**2 - 12*d - 102. Let o(t) = -2*m(t) - 22*n(t). Give 6*b(a) - o(a).\nAnswer: -2*a**3 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1547, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.3 + 0.3. Let x = g - -10.1. Which is the second biggest value? (a) x (b) 1\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1898874\/(-61752)*(-8)\/(-3).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*j = 142*j + 3. Solve j*q = -2*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 11 + (-33 - (-3 + -32))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikivpxk. Give prob of picking 1 x, 1 k, and 2 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 - 12*f**3 - 5 + 5.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 - 7*c + 7. Suppose -2*w - 2*r + 20 = 0, 2*w - 3*r - 50 = r. Suppose 3*q + w = 60. Let m = -9 + q. Give g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451 at most 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 5)*-1 + -2. Solve k*n - n + 4 = h, -2*n - h = -4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**3 + 33*q - 60*q + 27*q.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 73\/3*a**2 + 0 + 0*a + 1\/3*a**3 = 0?\nAnswer: -73, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2.2. Let n = -5.05 - -0.05. Let b = 5.1 + n. What is the third smallest value in b, u, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - 7. Let k = y + 19.6. Let t = -1.7 + k. Is t != -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 13462155?\nAnswer: 13462161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9854215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -626*r + 22689 + 6107 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrihhshsiidijd. Give prob of picking 1 d and 1 h.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence win when three letters picked without replacement from ddwwiwdnimddwdwddwd?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 84*t - 2. Let z be n(3). Let m = -12691 - -12701. What is the greatest common factor of m and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**3 + 1\/12*z**4 + 0 + 6*z**2 - 4*z. Is 9 a factor of a(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -10*v - 9. Let k = v + -1. Suppose 2454 = 4*r + k*n, -3*r - 4*n = -2*n - 1841. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7987 + -5684. Is 49 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1623*b + 116. Let w be v(36). Is ((-3)\/2)\/(3 + (-175656)\/w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6401 - 6401 - 22*n**2.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21381354 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*x)*(0 + 0 + 2*x) - 3*x**2 + x**2 + x**2 - 3*x**2 - x**2 + 2*x**2 in the form j + o*x**2 + y*x and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -4, 102.58, 3 in ascending order.\nAnswer: -4, 3\/2, 3, 102.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5800.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a**3*d - 458965*a**3 + 4*a**2*d + 110*a*d + 3*d wrt d.\nAnswer: 6*a**3 + 4*a**2 + 110*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19907 and 1873723.\nAnswer: 2194129633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -202000 (base 3) in base 13?\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1244 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 101, 87, 57, 5, -75, -189, -343?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363 and 165.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182 - 174. Let f be n + -7 - (-1 - 3). Let x be (-4)\/(-14) - (-19)\/7. Solve -q + 9 = j, x*q - q + 10 = f*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67421.69 - -67810. Let x = -395 + t. What is x rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p + 12 = 0. Let q = 0.17 + -0.22. Let m = 0.15 - q. Put m, 4, p in decreasing order.\nAnswer: 4, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283 = 5*z - 100*b + 98*b, 0 = 2*z - 78*b + 81*b + 98 for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 570360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/(-759))\/((-10)\/40 - 86\/(-312))?\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 11*l + 40. Which is smaller: -7\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2 - 1 - 7*h**2 + 2. Suppose 0 = 4132*z - 4137*z + 5. Determine w(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.3 (c) 17 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41183\/7 + 5887. Determine r so that k*r + 40\/7*r**2 + 4\/7 + 18\/7*r**3 = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-22) + (-8)\/44. Suppose 4*p - 11 = -5*v, 3*p - 7 = -3*v + b. What is the third smallest value in -0.04, -3, v?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g**2 - 2*g - 8. Let x be m(-6). List the prime factors of x\/10 + (-27)\/45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12959, 25919, 38879, 51839, 64799, 77759?\n\"Answer: 12960*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + d**2 - d. Let y be z(0). Suppose -2*a + 7*h - 11 = 2*h, 2*h = a + 3. Suppose k = -y + a. Is k != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470165 = 158*t + 458315 for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -65074*u - 244117*u + 1 - 155715*u. Let i be j(-9). Suppose 19184155 = -5*z + i. What is z rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17176\/3 + -5737. Find the common denominator of 238\/48 + 1 - 0 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-12))\/(3\/702). Let k = -4561\/13 - h. Solve 4\/13*a**2 - 4\/13*a**3 - 6\/13*a**4 + k + 6\/13*a - 2\/13*a**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwujjchhuuhm. Give prob of picking 2 m, 1 c, and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 4*p**3 + 2*p**3 - 59*p - 59*p + 120*p in the form t*p**2 + b + z*p**3 + i*p and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -1 - (-31 + 25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 32, 103, 282, 611, 1132, 1887, 2918?\n\"Answer: 7*y**3 - 9*y**2 - 17*y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i*i**(2\/5)\/i*i))**35\/(i**(-1\/2))**(-2\/3))\/(i**2\/(i**(-13)\/i))**(-3\/43) assuming i is positive.\nAnswer: i**(-1705\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1923082\nAnswer: 3\/1923082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1624301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28578*q = 28617*q - 312 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -200110 (base 3) to base 4\nAnswer: -13302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.784834 to two dps.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwwjjjjjwwwj. Give prob of sequence wwwj.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2. Let c(r) = 2*r**2 - 3*r. Determine c(n(j)).\nAnswer: 8*j**4 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((20\/(-5))\/32)\/((-2)\/(-12)). Let i = 3 - 5. Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 1, z: 2, k: 2, i: 4, e: 5}. Give prob of sequence iz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 - 6*f + 5. Calculate d(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 4*v**2 + 3*v. Let k be x(-3). Let u = -497 + 3477\/7. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/2)\/(((-399)\/42)\/((-950)\/50)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(((f*f**(-1\/8))\/f)\/f)*f\/(f*f\/f**(-3\/5))*(f\/(f\/f**0))**47*(f\/(f\/(f**(-2\/9)*f))*(f**2\/f*f)\/f*f)\/(f**(-2\/7))**13 assuming f is positive.\nAnswer: f**(17683\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/15 + (-65047)\/3*-1 + 2. What is o rounded to the nearest one hundred?\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**5\/20 + 7*b**4\/16 - b**3\/12 - 7*b**2\/8 - 266. Factor y(z).\nAnswer: z*(z - 1)*(z + 1)*(z + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*d**2 - 45287 - 73*d**6 - 258*d**6 + 45279 + 29*d**6 wrt d?\nAnswer: -36240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, 18, -81, -1\/3, 2\/7 in increasing order.\nAnswer: -81, -1\/3, 2\/7, 6\/13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44232 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/(-24))\/((-678)\/(-669) - 1). Let o = 514\/9 - k. Is o at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 1)*2\/(-4). Suppose -9*f + 5*f + 8 = g. Calculate the common denominator of f\/1 + 195\/12 and 45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2234 + -2333?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + a - 2. Let n(b) = b**2 - 7*b - 10. Let x be n(8). Let d be o(x). Suppose 5*c + j = 3*j + 58, -d*j - 26 = -c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/6148257 and -77\/6.\nAnswer: 12296514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h**2 + 2*h**4 - 34*h**2 - 5*h - 2*h**2 + 6 - 4 to k*h**2 + m + i*h**3 + o*h**4 + n*h and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = -4. Let j = -112 - -133. What is the hundreds digit of (i + 1 + j - -3)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 0*i + i**2 + 0*i**2 - i + 4*i. Let q be k(-3). What is q rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -4\/17 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2931.48 centuries to millennia.\nAnswer: 293.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6547 - 3.934. What is z rounded to two decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - h + 1. Let c(u) = 6*u**2 + u + 7. Calculate c(t) - 4*r(t).\nAnswer: 2*t**2 + 5*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43.852 + -44. Let y = p + 0.15. Round y to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -77\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 7*p**2 + 6*p - 2. Let u be f(-6). Let a be u\/4 + 2\/4. Let h(k) = a - 4 + 1 - 3*k. What is h(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -78339, -11 in increasing order.\nAnswer: -78339, -41, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 11*s = 5*m - 950, 6 = s. Let z(p) = 12*p + 4. What is the remainder when m is divided by z(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9430, 18877, 28340, 37819, 47314, 56825?\n\"Answer: 8*o**2 + 9423*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 18*n**2 + 19*n + 15. Let r be k(-19). Suppose -j - 33442 = -2*b, 10*j - r*j = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 62810*j + 502485. Calculate l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*z - 5*d - 18, 5*d - 38 = -z. What is the remainder when 54 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -396138 - 3?\nAnswer: -396141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/35200 and 121\/111700.\nAnswer: 39318400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/20 + 7*d**4\/12 + 657*d**2\/2 + 285*d - 2. What is the derivative of g(k) wrt k?\nAnswer: -3*k**2 + 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2227 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -312013161*x + 163291766 wrt x.\nAnswer: -312013161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312010 + -11?\nAnswer: -1312021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 - 2*w**2 + 70 + (3*w + w**2 - 3*w)*(31 + 138 - 241) to s*w**2 + d + v*w and give s.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26395869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2 + 3*y - 4. Let l be d(4). Calculate the common denominator of 8\/l + 435\/56 and -139\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 652 and 2?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -11\/18*m**3 + 0*m - 1\/6*m**2 - 3. Suppose s(n) = 0. Calculate n.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/(-9)*1*(-5 + 21 - 19)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720613212 and 376.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.68? (a) 5 (b) -1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -397 by 195.\nAnswer: -397\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 55da + -1?\nAnswer: 55d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 6*p - 157. Let m be k(-16). Which is the nearest to -1\/8? (a) 0.1 (b) 1\/8 (c) m (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12434.431 to the nearest one hundred.\nAnswer: -12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 437 + -429. Let a(b) = -b**3 + 15*b**2 - 2*b - 47. Is 11 a factor of a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39680 is divided by 756?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 4*j**2 + 2*j**2 + (0 - 1 + 2)*(13*j - 13*j - 7*j**2) + 4 - 4 + j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23266 (base 8) in base 3?\nAnswer: -111121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:42 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 3*d**2 - 6*d**2 + (-10*d**2 + d**2 - 4*d**2)*(4 + 1 - 2))*(5*d - 15*d + 4*d).\nAnswer: 252*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 - 2002\/(-104). Suppose 0 = -16*k + j*k - 111. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u + 509*u**2 + 10*u + 16 - 1 - 651*u**2.\nAnswer: -142*u**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135 - 135 + 5*c**2)*(-2 - 1 + 1).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -611093522 and 1588692.\nAnswer: -609504830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 5:17 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(2\/182) - -6*(-30)\/(-45). Which is greater: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8643, 8640, 8639, 8640, 8643, 8648, 8655?\nAnswer: 8664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6067 - 6067. Let x be (-362)\/(-175) - (1 + 0). Let v = x + -16\/25. Which is the closest to q? (a) 0.5 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 133.\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((55\/(-15))\/11)\/(13\/(-312)). Calculate the greatest common factor of 3144 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2931, 2538, 2161, 1800, 1455?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + (-1)\/1*-1. Let m = n - 6. Let f = -5 + 19. What is the remainder when f is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*((-44)\/(-12) - 4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 27060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.9 to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 668 + 46 = 0. Let l = -102 + b. Do l and 1\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 15*y**2 + 54*y + 17. Let q be u(-18). Let i be 2\/(-7) + 23\/7. Find the second derivative of -116*p**3 + 59*p**3 + 56*p**i + q*p wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c**2 + 3 - 3)*(2 - 5 + 1)*((7 + 35 + 30)*(-c - 2*c + c) + (-2 - c + 2)*(0 - 1 + 3) - c + 0 + 0) to the form u*c**3 + r*c**2 + s*c + k and give u.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2 - 24*h**2 + 25*h**2 - 9 + 13*h. What is r(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 - 146*l**2 + 81 + (-l - 3*l + 8*l)*(4 + 2*l - 4) to u*l**2 + h + p*l and give u.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1. Let g(b) = -7*b + 63. Let x(f) = -g(f) + h(f). What is the common denominator of -35\/8 and x(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2180000974, -2180000971, -2180000966, -2180000959, -2180000950, -2180000939, -2180000926?\nAnswer: -2180000911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -2652?\nAnswer: -2656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/24*(-15)\/21\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/531 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y + y - 18. Solve -6 = -2*t - y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 1 + 0 + 18. Let y be k\/3 + (-2)\/6. Let z = -0.109 - -0.609. Put y, z, -0.2 in decreasing order.\nAnswer: y, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1303766, 1303759, 1303740, 1303703, 1303642, 1303551, 1303424?\n\"Answer: -q**3 + 1303767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -244.3 - -243.8. Let v = 0.24 - 1.14. Let j = v - -0.5. What is the closest to 0 in -0.02, j, c?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/175351 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -7, -5, 0.01, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/21 + (-22)\/(-6). Let k be 60\/((-8)\/b) - -3. Let w = 40 + k. Calculate the remainder when 37 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 46?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*h + 12. Let a be ((-50)\/(-15))\/(2\/h). Let r = a + 33. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a89f - 134?\nAnswer: 5a76b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.98084 millilitres?\nAnswer: 0.00598084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -638815099396 + -0.2.\nAnswer: -638815099396.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -2*x + 5*x + y, -5*x + 4*y = -215. What is the second derivative of -35*h + x*h**5 + 90*h**5 - 96*h**5 wrt h?\nAnswer: 820*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-1 - -3)\/(-2). Which is greater: -15\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2) + (-9 + 2 - (-325)\/39). Let r(i) be the first derivative of 18 - y*i**2 + 1\/6*i**4 + 2\/9*i**3 - 2\/3*i. Determine v, given that r(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9d1ec - c?\nAnswer: 9d1e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -5 + 1 - 1. Let w be (7 + -4)\/12 + (-5766)\/p. Calculate the common denominator of 81\/20 and 4\/3*w\/112.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i + 1. Calculate v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3579493 or -3579470?\nAnswer: -3579493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 3\/7 (c) -8 (d) -3 (e) -380.5 (f) -0.4 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k. Suppose -2*y + 7 + 1 = 0. Let s(l) = -14*l - y*l - 5*l. Give x(s(i)).\nAnswer: -46*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**6\/120 + 11*k**5\/60 - 5*k**4\/8 + k**3\/6 - 1095*k**2. Calculate c(10).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 5*r + 9. Suppose 52 = -7*u + r*u. Let l be -3 - 63\/u - (-2)\/13. Solve -4*c = l*j + c - 10, -2*c + 23 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*n + 2*s, -4*s = 22 - 6. Suppose -v = n*v - 93. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-2)\/(-24)). Suppose g*i - i - 32 = -3*m, 39 = 4*m + 3*i. What is the smallest common multiple of 8 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 18, 32, 46?\n\"Answer: 14*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28524 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 599 + -529. What is the highest common divisor of 1120 and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 5*t + t)*(1 - 2*t - 2 - 1) + (-t + t + 2*t)*(t + t - t).\nAnswer: 4*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) 0.71898 (c) -1.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6*c - 3*c = 21, c - 27 = -k. Let j(q) = -4*q. Let p be j(-5). Calculate the greatest common divisor of p and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2))**12)**(10\/7) assuming q is positive.\nAnswer: q**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 - -1587.3794032\nAnswer: 1587.5294032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30500?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4065917 = -74*x - 4068211 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 134*j - 167. Let q(g) = 135*g - 173. Let h(u) = 5*c(u) - 4*q(u). Differentiate h(f) with respect to f.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 7 - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/150 - 6\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*x - 27 = 0, 5*x + 7 = -m - 14. Let s = 15 + m. What is the third derivative of s*v**2 - 8*v**4 - v**4 - 9*v**4 + 3*v**4 wrt v?\nAnswer: -360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/(-6) - (-81)\/5832*48?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - k + z - 10, -z + 25 = 5*k. What is the biggest value in -1\/4, -4, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-5 + 0 - (sqrt(1900) + 1).\nAnswer: -15*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 16560?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3.69*916439\nAnswer: -3381659.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -0*h - 101*h - 194 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91 + 4*w**4 - 2*w**4 + 1967*w**2 - 3942*w**2 + 1975*w**2 + 16*w wrt w.\nAnswer: 8*w**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199642202.7 rounded to the nearest one hundred thousand?\nAnswer: -199600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1263136, 5052702, 11368692, 20211106, 31579944?\nAnswer: 45475206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 10370*t**3 - 62268*t**2 + 124568*t - 83056.\nAnswer: 2*(t - 2)**3*(t + 5191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 10. Let p be 21*(4 - 48\/18). Suppose 33*w - 25 = p*w. What is o(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 7*a**2 + 5*a - 8. What is d(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*u + 855 - 13*u + 148.\nAnswer: 49*u + 1003","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-84)\/18 + 7)*3*140\/(-98).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 21 (b) 6 (c) 0 (d) 0.1 (e) 360 (f) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3. What are the prime factors of (-1)\/(-2)*(-128)\/(-2*v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/73, 0, 1\/8, -3, -2, 88 in descending order.\nAnswer: 88, 1\/8, 8\/73, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p + 3. What is the remainder when c(-6) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6972.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.132+5.2\nAnswer: 5.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 156 - 10*v**2 - v**4 + 2*v - 8*v**2 - 326 + 167 + 2*v**3 + 0*v**3 as s*v**3 + f*v + m*v**4 + z*v**2 + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(0*o + 0*o - o)*(-16 - 23 + 55)*(-o**2 + 4*o**2 - 5*o**2).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**2 - h**2 - h**2 + (6 - 2*h - 6)*(-2 + 2 + 2*h).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 4*b - 217. Suppose -a - 35 = -3*u, -b = -0*u - 5*u - a. Suppose -13 + 3 = -2*g. Solve 5*v + 20 = -g*w, u = -2*w - 0*v - 3*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -11*f**5\/60 - 3*f**4\/4 - 14*f**2. Find the second derivative of c(x) wrt x.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*m + 20064 = -52*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340421 (base 5) in base 10?\nAnswer: -43236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302502 (base 6) in base 16?\nAnswer: 113c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2311400 and 1820?\nAnswer: 2311400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-913)\/(-5) + 66\/(-110). Let a = 187 - v. What is the remainder when 83 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t*x**2*y**2 - 9*t*x*y**3 - 4*t*x*y - 2*t - 67*x**3*y**3 + x**3 - 52*y**4 - 9*y - 109 wrt y?\nAnswer: -54*t*x - 402*x**3 - 1248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -136*565\/339*9\/(-30).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -597 + 407. Let d = c + 197. Solve -5*y + 4*y = 2, -5*a + d = -y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3789719569?\nAnswer: 3789719569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2\/4)\/(27\/12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 - (-36 + 37)) + 34.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*x - 4*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 1504188.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184188141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o. Let l(d) be the second derivative of d**4\/3 + 12*d + 6. Determine q(l(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 24*k = 11*v - 7*v + 718, 0 = k + 39 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2058122 - 37.56\nAnswer: -37.7658122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a**13*a)\/a)**(-50)*(a*a*a*a\/a**(-3\/4)*a)**(-23) assuming a is positive.\nAnswer: a**(-3529\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 262016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1025.94169 to the nearest integer.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2449*d**2*m - 2022*d**2 wrt m?\nAnswer: 2449*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4716.029 years in millennia?\nAnswer: 4.716029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*p + 30 - 89, -5 = -2*p + 5*m. Let i be (-201)\/(-15) - p\/25. Solve -4*c = 16, -2*o - i = -o + 3*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -1.1.\nAnswer: 12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3, -1, 10 in decreasing order.\nAnswer: 10, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 - 18 = 0. Suppose -i = -6*h + 2*h. Let p be 1\/4 + (-49)\/(-28). Sort h, p, 4 in ascending order.\nAnswer: h, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4616955.\nAnswer: 3, 5, 7, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -104828764703339 less than -0.3?\nAnswer: 104828764703338.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 331\/(-5) - (-1)\/10*2. Let t be (-5 - -6)*(p - 1). Calculate the common denominator of t\/40 - 2\/10 and 41\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 821074, 1642156, 2463252, 3284368, 4105510, 4926684, 5747896?\nAnswer: 6569152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 + 3*w**2 - w**2 + (-12*w - 3*w + 4*w)*(1 - 1 - w) to y*w**2 + m + p*w and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + 10 + -11 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3648, -7547, -11446, -15345, -19244?\nAnswer: -23143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.6615 and 3?\nAnswer: 67.9845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*y + 1 = y, -11 = -4*i + y. Suppose -32 = q + i*m, -4*q = -0*q - 3*m + 117. Is (107457\/45)\/7 - (-4)\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 907, 1815, 2723, 3631, 4539, 5447?\nAnswer: 6355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4379?\nAnswer: 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/((-1 - -4) + (-175)\/60) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 6*p**2 + 5*p**2 + 15*p**2 - 3*p**2.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12943 and 5117?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -289.6 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -30*t - 10. Give m(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*2)\/(21\/(819\/26)). Suppose -4*d = h*d - 780. Calculate the smallest common multiple of 40 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -829 greater than or equal to -3\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 + 924*v**2\/5 + 19602*v\/5 + 21296.\nAnswer: 2*(v + 11)**2*(v + 440)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 710 and 223934?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -2, 490, -0.03, -21\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - w - 9 = -0*r, 0 = -5*r - 4*w - 8. Is 982*(8\/(-2))\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13013*j**3 + 13013*j**3 + 1 - 2*j**4 - 51*j**2 + j - 2*j to u*j + v*j**3 + w*j**2 + a*j**4 + d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7\/162, -29, 1\/6, 8, 1, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(931) + (sqrt(931) - 2*sqrt(931)))*-5*1 - ((sqrt(475)*-1)**2 + (sqrt(19) + (4*sqrt(684) - sqrt(19)))**2 + 5).\nAnswer: -11424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 6*h**3 + h**3 - 2*h**2 + 3*h**2. Let b be (-5)\/5 - 4\/(-2). Give c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 398, 574, 752?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38925 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.09 - 1.19. Which is the second biggest value? (a) -5 (b) 0.4 (c) r (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 2*a + 16. Let y = 12 - a. Suppose -2*b + 3*z + 8 = 4*z, -4*b + 22 = 5*z. Solve -y = -4*m - n, -b*m - 12 = 2*n - 5*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22816\/9 less than -2534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1127625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16.53 and 0.4.\nAnswer: 16.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 64 = 3*f - 7*m, 0 = 4*f - 5*m - 82. Let j(d) = 8*d - 61. Suppose 2*i - 32 - 10 = 0. What is the remainder when j(f) is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40353400, -40353399, -40353398, -40353397?\nAnswer: -40353396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d**6 + 999*d - 3*d**4 - 997*d + 6*d**2 + 20*d**2 - 4*d**3 + 3*d**4 wrt d.\nAnswer: -1920*d**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1514 and 15459454.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13026984 by -4.\nAnswer: 3256746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l - 1. Let r(d) = 8*d - 7*d + 3*d. Determine 2*j(s) - 3*r(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 + 68. Let o = r - 10. Let q = o - -160. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -978257*o - 2 + 2 + 2934773*o - 978260*o - 978254*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x + 6*x)*(668*x**3 + x**3 - 192*x**3) - x**3 + x**3 - x**4.\nAnswer: 476*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, u: 5}. Give prob of sequence cc.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80268507413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 9*r = -12*r + 39, -2*y + 2*r - 14 = 0. Let b = 14 + -24. Let q = b + 9. Sort 5, q, y in decreasing order.\nAnswer: 5, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499197389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 3*z**2 + 2*z**2 + (1 - 1 - z)*(3 - 3 - 2*z))*(z**2 - 2*z**3 - z**2).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*y - 79 - 505 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47458 is divided by 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*f + 161, -2*f - x + 2*x = -111. Let b be 27 - -1*(-1 + 2). Let t = f + b. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584 >= 2563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*f - 922*f**2 + 387*f - 204*f.\nAnswer: -922*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/20 + -1)*(-10300)\/(-824). Which is bigger: 207 or q?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 less than 644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.063, 2\/13, 0.01, -671\/3?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38948, -38963, -38978?\nAnswer: -38993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99895709 to the power of 1\/2, to the nearest integer?\nAnswer: 9995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbbobrosrjwr. Give prob of picking 1 b, 1 j, and 2 w.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - 15 - (-35 - 1). Solve t - k = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 - -108. What is the second biggest value in l, 0.08, -0.1, 2\/5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - g**2 + 0*g + 1 + g - g + 2*g**2 + 0*g**2 + 4*g**2 - 5*g**2 + (-2*g - 1 + 1)*(2*g + 2 - 2).\nAnswer: -4*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/99)*s**(20\/7))\/((s*s**(11\/5))\/(s\/(s\/((((s\/(s*s**(9\/8)))\/s)\/s)\/s*s))*s)) assuming s is positive.\nAnswer: s**(-41249\/27720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/2103252 and 35\/39684.\nAnswer: 2103252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*j, j = -m + 3*j + 6. Suppose s - 1 = -a + 3*s, -5*a = m*s - 17. Suppose -a*i + 994 = 73. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 531, -2, 3, 1 in increasing order.\nAnswer: -2, 1, 2, 3, 5, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5031 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 v when three letters picked without replacement from rvcjr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 86*r + 22. List the prime factors of y(47).\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/1263? (a) 0.2 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -14.062. Let w = -0.338 + l. Sort 1, w, -3\/5, -12 in decreasing order.\nAnswer: 1, w, -3\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/60 - (-5 + (-92)\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 78*t - 251. Let d be j(-5). Solve -8*i + 116 - d = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29\/66 - -5\/22. Suppose 295*m = -4*k + 296*m - 9, k = 5*m - 26. What is the second biggest value in d, k, -5, -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 2\/11, 4.8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 1 - 1)*(q + 2 - 2)*(-4*q**2 + 2*q**2 + 4*q**2) in the form v*q**4 + j*q + n*q**2 + t + l*q**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -4d2?\nAnswer: -4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16952 or 237337\/14?\nAnswer: 237337\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-79 - 1 - (762 - 733))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**4\/4 + 14*f**3\/3 - 11*f**2\/2 - 15*f + 892. Give i(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c**2 - 90*c + 77. Determine k(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*y**24))*y**(-24)*((y\/y**(-8\/3))\/y*y)\/(y*y\/y**(9\/4)) assuming y is positive.\nAnswer: y**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-40))\/((-64)\/(-5920)*-5*4\/(-80))\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*p - 4*f = -403*p + 32, -52 = -p + 5*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52357795 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57)\/(-38)*16\/(-3). Let u(y) be the third derivative of -y**6\/120 - 3*y**5\/20 - 7*y**4\/24 + 3*y**3\/2 + y**2. Give u(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*m - 32, g + 2 = 2*m - 0. Suppose -2*r = 4*t - 4 - 2, 2*t - 6 = -2*r. Let a be g + (-6)\/9*r. Solve 0 = -2*n - a - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -5 - 2\/15*t**5 - 4\/3*t**2 - 5\/6*t**4 - 16\/9*t**3 + 0*t. Factor w(n).\nAnswer: -2*n*(n + 1)*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -381*z**2 - 1066*z**2 + 499*z**2 + 4*z**2 - 3*z**2 + 0*z**2 + (-z + z - 2*z)*(z - z + 3*z).\nAnswer: -953*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (54 + -51)*(-196)\/(-6) is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-528)\/20)\/(((-175)\/125)\/(189\/(-54))).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15960 divided by -12?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9558007 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 6*w**2 - w. Let m = -7 - -4. Is 15 a factor of z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 691 = -6*o + o - 687, 6 = 3*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3.03. Let v = 1.97 - x. What is the biggest value in v, 1, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**3\/8 + 92043*b**2\/8 - 138105*b + 828711\/2 = 0.\nAnswer: -30693, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s = -6392 - 3268. What is the greatest common divisor of 150 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-23\/3)*w)\/w)\/(w**(-21)*w)*w**10*w**(-4\/3))**(-10\/17) assuming w is positive.\nAnswer: w**(-230\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 4*u**2 - u. Let w be q(-3). Suppose p = -4*n + w, 2*n = -5*p - 3*n + 30. Solve 24 - p = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 29*x**2 - 32*x + 44. Is q(31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -35384, -0.3, -5, 5, 0.\nAnswer: -35384, -5, -0.3, 0, 0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70763.52 - 70740.519912. Let c = -23 + l. What is c rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + ((-1 + sqrt(2448))**2*5 - sqrt(2448)) + ((sqrt(2448) + -1)**2*-2 - sqrt(2448) - sqrt(2448)))*3.\nAnswer: -1944*sqrt(17) + 132192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 7.012. Let b = -0.01200062 - j. What is b rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491191 is divided by 5420.\nAnswer: 3391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 497985 = -103*p + 454995. What are the prime factors of p?\nAnswer: 3, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n = -26*n - y - 0*y + 14, 7*n + 42*y - 352 = 19*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/((h*h**0)\/h)))**(-8\/9)*(h**(1\/3)\/h)**20)**14)**(-32) assuming h is positive.\nAnswer: h**(17920\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 0*n**2 + 0*n - 7\/3*n**3 - 23 - 9\/4*n**4. Find the third derivative of m(p) wrt p.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3538*c + 3538*c - 61*c**2.\nAnswer: -61*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-6)*144\/(-84). Suppose z*i - 16 = 4*i. Solve -w - 3 = -i*o, -4*w - 5*o + 3*o = -6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 2, j: 1, c: 1}. Give prob of sequence rc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/2263, 11, 3\/4 in descending order.\nAnswer: 11, 3\/4, -2\/2263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let w(t) = -8*t - 3. Determine 3*r(b) - w(b).\nAnswer: 5*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2512 - 1659*f**2 - 842 - 838 - 832.\nAnswer: -1659*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 63 + 17*w**2 - 5*w - 13*w**2 - w**3 - 65. Let s(k) = -3*k**2 + 6*k + 3. Let d(j) = 3*c(j) + 4*s(j). Factor d(t).\nAnswer: -3*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - a + 4. Let l be g(0). Let b be ((-12)\/(-10))\/((-6)\/(-20)). Let q(t) = -3*t + 2 + b*t + 1. Give q(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/30 - 56*x**5\/15 - 18*x**4 - 1389*x**2. Factor u(y).\nAnswer: -4*y*(y + 2)*(y + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.3, -753\/4, 2 in decreasing order.\nAnswer: 2, -0.3, -0.4, -753\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -9*o - 55. Let v be o*2\/(-4) + 3. Solve -v*q = -q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gut when three letters picked without replacement from {l: 1, y: 10, u: 1, g: 4, t: 2}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -8. Suppose 2*g + 2*h + h - 80 = s, 0 = 5*g + 3*h - 182. Suppose -m + 0*m + g = 0. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4156, -16554, -37210, -66130, -103320?\nAnswer: -148786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-7)*v**(-5)*v*v**8*v*v*v*v\/v**(-15) assuming v is positive.\nAnswer: v**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 9005116?\nAnswer: 900511.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - g - 1, 0 = -0*g - 5*g - 5. Solve 3*s - 2 + 5 = y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - 27 - (72\/(-40))\/((-3)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8)\/w**(-5)*w**(-3\/19)\/(w*w\/(w*w\/(w\/(w\/(w\/(w**(-12)\/w)))))*w) assuming w is positive.\nAnswer: w**(-345\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(48)\/sqrt(6) - (sqrt(8) - (2 + sqrt(16)\/sqrt(2))))**2*1.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.6586ml?\nAnswer: 0.0056586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.178152222 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.169 to the nearest integer.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*z + 3*h, 2*h - 4 = 2. Differentiate -1671*l + z*l**2 + 1671*l + 42 with respect to l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4268565748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 25, -3*j + 4*o + o + 23 = 0. Suppose -5*i + 15 = -0*i. Suppose y - 80 = -i*y. Calculate the lowest common multiple of j and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-20 + 14)) + (-1 - 2) + 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 4*r + 3 - 2*r**2 + 7*r - 10*r - 2*r**4 in the form a*r + q*r**3 + o*r**2 + g + j*r**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6) + (sqrt(36)\/sqrt(3))\/sqrt(2) - sqrt(6)) + -5*sqrt(54) + sqrt(6))*6)\/((1*sqrt(128))\/(sqrt(4) - (-2*sqrt(20))\/sqrt(5))).\nAnswer: -117*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - h**3 + 2*h**2)*(0*h - 8*h - 4*h) - 12132*h + 12132*h + 47*h**4.\nAnswer: 59*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 9:18 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-332)\/(-3) + 4 + (-42)\/9. What is the greatest common divisor of 275 and c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*1*sqrt(539))**2)*6.\nAnswer: 29106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 - 19 = -4*w, h = 4*w + 6. Let p be (-28)\/h*(-120)\/28. What is the highest common factor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -196*b**2*h*y**2 - 2*b*h*y**2 - 12*b*h*y + 2*b*y**2 - 2*h*y**2 wrt b?\nAnswer: -392*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757977?\nAnswer: 31, 43, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 5 + 3*s - 5*s. Let j be f(-9). Let r(x) = -x**3 + 3*x**2 + 6*x - 1. Is r(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99\/25 - 3463\/300. What is the common denominator of 31\/2 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220080434?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 2*g = -g + 44 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*k + 6*k + 54 = 0, -49 = 5*f - k. Let j(p) = -2*p - 2. Let l be j(f). Suppose 4*u = 2 + l. Solve 27 = -2*s - u*d, 0*s + 18 = 2*s - 4*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**3\/3 + 4*j**2 + 96*j + 704\/3 = 0?\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1229087252584?\nAnswer: -1229087252584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 7, k: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 4*l**2 - 2*l**2 + 5*l**3 + 413*l**4 - 429*l**4 as t*l**4 + d + n*l**3 + m*l + v*l**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -2, 136, -0.4, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 - -0.2. Let i = 0.46 - -1.54. Let n be 5 + (-3)\/27*47. What is the closest to b in i, n, 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30342 + -12528. List the prime factors of n.\nAnswer: 2, 3, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 647214530 - 4?\nAnswer: 647214526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 4 + 0 - -3. Suppose d*s - s + 27 = 0. Let n be s\/7 - (-3 + 1). Is n greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4144 and 3143224.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1563.37 + -1571. Let p = u + -2.27. Let m = p + 10. Is m greater than -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2846 - 8d7?\nAnswer: -333d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1795, -1793, -1781, -1753, -1703?\n\"Answer: a**3 - a**2 - 2*a - 1793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17417, -69565, -156469, -278123, -434521?\nAnswer: -625657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 924286 - 346786. Let g be 0 + (-49)\/2*-2. Let r be (m\/g)\/(2\/(-56)). Round r to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2542*t + 2545*t - n + 9 = 0, t = 6*n + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 616, 4209, 10198, 18583?\n\"Answer: 1198*y**2 - y - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 + 12 = 2*b, -2*r = 2*b - 28. Suppose 3*m - m = 4*o - 54, -3*m - 3*o - 36 = 0. Let k = 17 - m. What is the remainder when k is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, 563, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:00 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 < -1376\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = -9*a + 277 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 406 or 403?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i - 95. Let a be o(-10). Let f be a\/52 - 1\/4. Suppose -3*n - 2 = -0*y - 2*y, 2*n + 2 = 2*y. Sort f, n, -1, 4 in increasing order.\nAnswer: f, -1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 + 0*s**3 + 0*s**3 + (-7 + 7 + 10*s)*(2*s - 2*s - 3*s)*(0*s - s - s) + (2*s + 0*s - 4*s)*(-10*s**2 + 11*s**2 - 32*s**2).\nAnswer: 124*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3217 + -3230. Which is the closest to 2\/3? (a) 5 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 11*s**3\/6 - 79*s**2\/2 + 99*s. Let y be i(8). Is 1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*n**3 - 1314*n**3 - 3855*n**3 - 12919*n**3.\nAnswer: -17635*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 - 4 + (-1 + 0 + 2)*(-1 + 2 + 1))*(0*t**4 - 2*t**4 + 0*t**4) in the form d + o*t**3 + y*t**2 + j*t + i*t**4 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85\/3 + -589\/21. Let i be (-87 - -1)*3\/(-6). Let m = -128\/3 + i. Put q, m, -3\/5 in decreasing order.\nAnswer: m, q, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15809133541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p + 150. Suppose -r - 4*r - 2*u + 34 = 0, r = 2*u + 14. Calculate the remainder when p is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*f + 27 = 0, 0 = 5*l + f + 17 + 11. Let u(w) = -7*w - 12. What is the units digit of u(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -81\/17? (a) -37 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 1. Let h(l) = 3*l**2 - 2*l + 3. Let v(t) = 2*g(t) + h(t). Let n = -12 + 16. Is v(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 5*z - 3. Let x(d) = -d**2 + 5*d - 5. Give 3*b(y) - 2*x(y).\nAnswer: -y**2 + 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 2:29 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, -2\/15, -16, 9, 2\/9 in decreasing order.\nAnswer: 9, 1, 2\/9, -2\/15, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 1 + 1 + (2*b**3 - b**3 - 3*b**3)*(29 - 13 + 27)*(8 - 7 - 11).\nAnswer: 858*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43480*g**2*p + 2148*g**2 - 2 wrt p.\nAnswer: 43480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35\/2 + -247\/14. Let u = a + -257\/14. Find the common denominator of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 728 - -4?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1164, -1186, -1210, -1236, -1264?\n\"Answer: -u**2 - 19*u - 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.64298 micrograms in nanograms?\nAnswer: 51642.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -821*r**2 - 3*r - 181. Let z(x) = -3*x. What is z(d(a))?\nAnswer: 2463*a**2 + 9*a + 543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (444\/(-84360))\/((-4)\/76).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*9\/(-378))\/(750\/(-8750)).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 5:47 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 409963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzr when three letters picked without replacement from {z: 2, n: 3, m: 1, r: 1, x: 4, o: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1156143 <= -1155999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 602073 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -270, -2\/7, -0.03, -13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19)*k**7*k\/(k*k**(-12\/5))*k*k*k**(2\/57)\/k*k*k*k)**(-1\/22) assuming k is positive.\nAnswer: k**(793\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2968132, -3, -20, -2 in ascending order.\nAnswer: -2968132, -20, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1023558.\nAnswer: 3070674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 4)*(-1 + 5 - 3)*(-k**2 + 6 - 6) - 3*k**2 + 2*k**2 + 3*k**2)*(-2 + 2 + 4*k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31964.2 micrograms in milligrams?\nAnswer: 31.9642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-2)\/(28\/21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(54)\/sqrt(3) + sqrt(2)))\/(-1*sqrt(7)*6*3)*-5.\nAnswer: 5*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**9\/1176 + v**8\/392 - v**7\/588 - v**6\/84 + v**4\/21 + v**3\/3 + 1. Let c(d) be the third derivative of r(d). Factor c(l).\nAnswer: 2*(l + 1)**3*(3*l - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 7. Let j(u) = -u**3 + 2*u**2 - u - 2. Let s be j(-1). Suppose 3*f + 9 = 2*w + w, s*w = 5*f + 21. Is f at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 830.5798 weeks?\nAnswer: 502334663040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 12069221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010758377 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 3) + (-7)\/3. Suppose 12*n = 9*n - 3. Sort 2\/17, n, z.\nAnswer: n, z, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 21 = -5*i, -c - 195 + 210 = 4*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*c**4 + 40*c**2 - 40*c**2 + (0 + 3 - 2)*(-153*c**2 + 153*c**2 + 2*c**4 + 1).\nAnswer: -78*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 570.3165 years in months?\nAnswer: 6843.798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*p - p + 14, -8 = 4*p. Sort -15, -4, r in ascending order.\nAnswer: -15, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, q: 4}. What is prob of picking 3 d and 1 q?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8906?\nAnswer: 2, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 3\/(-5))*-5. Let i(p) = x*p**2 + 111*p - 111*p. Let w(r) be the second derivative of -5*r**3\/6 - r. Determine i(w(l)).\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5809.335 + 27.665. Is g not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**7\/70 - d**6\/5 - d**5\/20 + d**4 + d**2 + 29. Solve c(q) = 0 for q.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l - 18*l - 17*l - 65 = 0. Solve 0 = c - l*p + 7*p + 3, p = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2, -5, 167 in ascending order.\nAnswer: -5, -2, 1, 4, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33470.\nAnswer: 2, 5, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -83?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 7) in base 4?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 20*r**2 - 7*r + 6. What is z(2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -513*m. Let x(q) = -q**2. Give k(x(u)).\nAnswer: 513*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 3, 1860 in descending order.\nAnswer: 1860, 3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 9*k - 2. Let o be u(9). Let j be o*9*-1 - 3. Solve -5*p + j = -5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*x - 1220, 2*o - 5*x = 433 + 61. Suppose m - 5*t - 100 = 0, 4*m + t - 95 - o = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 13*v - 4. Let n be w(-11). What is the highest common divisor of n and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.73 (b) -5 (c) 0.1 (d) -0.72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11387546 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybtlbytbttb. What is prob of picking 1 y and 1 b?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(1\/6)\/h))\/h**(3\/10))\/(((h*h**0)\/h)\/h)**(-38\/5) assuming h is positive.\nAnswer: h**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 502444667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, -6, -8, 4?\n\"Answer: 7*z**2 - 37*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**3 - 6*f**2 - 7*f + 2. Let v be 2\/(((-12)\/(-15))\/(-2)). Let g(b) = -7*b**3 - 5*b**2 - 6*b + 2. Calculate v*m(c) + 6*g(c).\nAnswer: -2*c**3 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24112 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbh when three letters picked without replacement from ooohoobhhohhhohooo?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (48\/(-10))\/(4\/((-80)\/3)). What is the highest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 4. Let g be i(5). Put g, -4, -10 in descending order.\nAnswer: g, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336)\/104 - (-720)\/1560.\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863220 + -0.01?\nAnswer: 863219.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2379, 2544, 2709?\nAnswer: 2874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 406\nAnswer: 3\/406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*s - 4*l = -113*s + 41, 3*l + 29 = -2*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 99 = 2*l. Let u = 41 + -30. Calculate the greatest common divisor of u and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 82396113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 6*h**3 - 12*h + 7*h.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5070 (base 12) to base 8\nAnswer: 21024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 50. Let k(b) = 214*b**2 - 5*b - 10. Let i(f) = -109*f**2 + 3*f + 6. Let m(w) = 5*i(w) + 3*k(w). What is q(m(p))?\nAnswer: -18818*p**4 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187 + 189. Solve d*m + 3*b = 4 - 3, -5*b = 5*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r - 14 = 60*r + 4*y, 22 = -3*r + y for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2546405 by -3.\nAnswer: -2546405\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 19. Suppose -2*d - 27 = -3*s, 3*s - 21 = -d + 6. Let p be g(s). Let r = 105 - p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 30. Put 4, b, -2 in descending order.\nAnswer: 4, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11 = 1. Let h = 45 - 81. Let d = h + 36.01. Is d less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 260.4 + -260.402294. What is s rounded to 4 decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 + 4. Suppose 6 = -6*g + 2*g - t, -3*g - 2*t = 2. Let z(k) = k**3 - 1. Determine g*z(v) - w(v).\nAnswer: v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s + 12. Let p be v(0). Suppose p = -l + 17. Find the second derivative of 4*o + o**4 + o**4 + l*o wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1380*k - 382*k - 5758*k + 427*k - 5379*k in the form z*k + r and give z.\nAnswer: -9712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6357145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*c - 4*t, t - 3 = -0*t. Suppose c*s - 12 = 4*p, -p = p - 5*s + 20. Solve 11 = 5*q - 2*d, 0 = 2*d - p*d + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (68 - 0)*(-2)\/(-4). Let h = p + -24. Let q(b) = h - 3*b - 10. Let n(j) = -j**2. Give q(n(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 11*t - 34. Let r be u(17). Suppose -4*m = m + f - r, 0 = -4*m + 5*f + 105. Calculate the remainder when m is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 4*o + 16 = 23*w, -3*w = -4*o + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -2706?\nAnswer: 2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*w**2 - 480*w**2 - 262*w**2.\nAnswer: -517*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33152190 and 89790?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.34, 0, -423, 0.2, -1 in ascending order.\nAnswer: -423, -5, -1, -0.34, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -12*j**2 + 9*j + 3. Suppose 2 = -4*k + 22, -3 = 4*u - 3*k. Let n(x) = 6*x**2 - 4*x - 1. Give u*d(g) + 7*n(g).\nAnswer: 6*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -196091\/15 + 13067. Let o = 771\/20 + -1663\/60. What is the common denominator of o and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = -2. Let h(c) = c**2 + 20*c - 61. Let s be h(-31). Let p(u) = 139 - s + 141 + 3*u. Calculate p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-3) + -5 + -1. Let h = 2674 + -2675. What is the nearest to n in -2\/5, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171005417 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/5, -78137, 0.059, -4, -0.2?\nAnswer: -78137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (304\/12)\/(4\/30). Suppose 2*o + z = a, -2*o + 3*z = o - 294. What is the highest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 11:46 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 5:51 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 66, 117, 192, 297, 438?\n\"Answer: q**3 + 3*q**2 + 17*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j + 50*j - 7*j**2 - 11*j**2 + 15*j**2.\nAnswer: -3*j**2 + 38*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 173 = -113. Solve -10*b + 5*b = -k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9967158 or -9967161?\nAnswer: -9967161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4040 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 + 12.18. Let q = 12 - y. What is the nearest to q in 0.3, 5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*w - 6 = 8, -4*i + 5*w = -28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 + 7*x**2 + 60*x. Let p be j(-4). Which is the closest to -1? (a) p (b) 5 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 1b?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + ((-6*(-1 + sqrt(612)) - 4*2*sqrt(612))**2 - (-2 + (4 + sqrt(612)*-2 + sqrt(612))**2))).\nAnswer: -596785 + 4800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 6*c + 9. Let i be l(-7). Suppose 2*a - 3 = -1, -3*a + 13 = -5*q. Let b(m) = -m. Let y be b(q). Solve j - i = -4*d, 2 = -j + y*d - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 + -1 - (-21770 + 21990).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 53*o + 2559. Calculate r(-30).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 0.61 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -10, 3\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10649975 = 5*a - 6*u + u, -4*u = 5*a + 10650020. Round a to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -11*r**5\/20 - r**4\/12 + 17*r**2\/2 + 90*r + 4. Let d(f) = 4*f**3 - 6. What is 17*d(s) + 6*k(s)?\nAnswer: 2*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*o - 27, 3*j - 19 = o - 6*o. Let z = -8 + j. What is the remainder when 26 is divided by (1 + z)*-1 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294.5904 milliseconds to minutes.\nAnswer: 0.00490984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 396*a**2 - 5703*a + 170. Give w(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -29.4. Let g = -0.21 - -0.71. Sort y, -2\/11, g, 1 in ascending order.\nAnswer: -2\/11, y, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.9353 from -27829199.\nAnswer: -27829194.0647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16545165 (base 7) to base 12\nAnswer: -6643b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 1. Let y(r) be the first derivative of r**3\/3 + r**2\/2 - 2*r + 1. Let h(c) = 2*i(c) + 3*y(c). Let n be -1*(-3 + (-6)\/(-1)). Determine h(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1 - 68\/(-4). Suppose 8 = 2*d + c. Let h be 90\/(2 + d)*(-530)\/(-3). Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 0 = -q + h + 3, 5*q - 4*h - 14 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -15*y + 10*y. Solve z - 5*s = -y, 0 = 2*z - 0*z - s + 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - c - 7 + 9)*(3*c - 5*c + 4*c)*(4 - 1 - 5).\nAnswer: 4*c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*o - 3*b, -127*b + 131*b = -3*o + 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 17. Suppose v + 5 = 0, 5*d + 25 - 825 = -r*v. What is the highest common factor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -368\/7 (b) -2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 1)*(-10*a - 5*a + 1 + 20*a).\nAnswer: 20*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32021211031 (base 4) to base 12.\nAnswer: -12aa691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32082)\/(-4)*(-46)\/69. Let y = 3017 + v. Round y to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562333 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18675 - -28546. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by ((-4)\/(-14))\/((-5)\/(-175))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 266016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/91 + (-106)\/(-14). Suppose -7*s = -g*s + 2*o + 210, -3*s - 2*o = -654. What is the greatest common divisor of 36 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let h = -115413\/4 - -28996. Let q = h + -143. What is the nearest to 2 in w, 5, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b - 298 + 315. Do 28\/25 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/12*2)\/(100618\/(-21561)). Factor 3\/4*j**3 - j**2 + 0 + 1\/2*j**4 - r*j**5 - j.\nAnswer: -j*(j - 2)**2*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*u - 155 = -2*z - 55*u, -4*z + 219 = -3*u. Calculate the highest common factor of z and 1410.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - 171. Let z be 50\/r + (-11)\/36 + 1. Find u such that 2\/9 - z*u + 2\/9*u**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = m - 0, -5*f + 23 = 3*m. Let r(z) = -z + 2. What is r(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.5, -0.02, -2\/9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 104*q - 9. Determine s(1).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 - (1 + -1))\/(10\/(-5455))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -548.569999 + 548.21. Let q = -23.36 + 23. Let h = l - q. What is h rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1148, -2299, -3454, -4613, -5776, -6943?\nAnswer: -8114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + 4*sqrt(88))*1)\/(sqrt(648)*-5))**2.\nAnswer: 11\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 549 + 1280998.\nAnswer: 1281547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.16 (b) 48 (c) -1\/3 (d) -2\/3 (e) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3802*r - 4200*r + 23482 for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.1. Let i = 27.9 - 27. Let j = i - v. Which is the closest to -2\/3? (a) 2 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/275)\/((-5)\/(-55)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -598. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 6 = -5*k. What is the least common multiple of (-182)\/21*(k\/(-2) + 0) and 22?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 330, 469, 588, 681, 742, 765?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.532378 micrograms?\nAnswer: 0.009532378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*g - 16*a**3*g**3*n + 2*a**3*g*n + a**2*g**3*n - 2*a**2*n - 6*a*g**3*n - 7*g**3*n wrt a.\nAnswer: 48*a*g - 96*g**3*n + 12*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1479 and 61625.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3456048343.\nAnswer: 11, 3109, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -36. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -4 (c) 0.2 (d) -1597103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-15)\/4)\/(27 - (-2847)\/(-104)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28 - 15.28. Let g = -15.9 - y. Let x = -3.1 + g. Which is the second smallest value? (a) -1\/4 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 3*u + 2. Let f be k(-2). Let y be ((-42)\/(-9))\/7*(-30)\/(-4). Solve 0 = -q - y - f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from innrnli. Give prob of picking 1 l, 1 r, and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 549 = -1196 - 783. Solve b*i = 165*i + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0) + (-1 - -2). Suppose w + b = 253, -4*w + 1204 = 3*b + 187. Suppose -31*x = -83 - w. Put r, -5, x, -3 in descending order.\nAnswer: x, r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4308813713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -148444753*b*l + 15532986*l wrt b?\nAnswer: -148444753*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(0 + -2) - 264\/(-396)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -52, 55, -4, 3, -10, -11.\nAnswer: -52, -11, -10, -4, -1, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/20 + -39\/20. Let k = 2.06 + -0.06. What is the nearest to y in -3\/7, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 2 + (-1 - -2). Let h be (k\/(-28))\/(4\/(-8)). Which is the nearest to 0.1? (a) -3 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 4, w: 3}. What is prob of sequence ssw?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 9905720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(792) + 2*sqrt(792))\/(sqrt(891)*-1))**2*5 + 0 + ((sqrt(16)\/sqrt(2))\/sqrt(4) - (sqrt(40)\/sqrt(4) - sqrt(10))\/sqrt(5)) + -5.\nAnswer: sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {g: 6, k: 4, y: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 10. Let n = 12 - 12. Suppose 3*v + 2*v + 35 = n. What is s(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00678047445 rounded to four decimal places?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-676)\/(-195))*(-1)\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r - 3 + 0*r**2 + 0*r**3 - 3\/4*r**4. What is the first derivative of w(n) wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x + 1. Let v(t) = -6*t - 1. Let c be -11 + 18\/6 - -6. Determine c*v(j) - 3*z(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9*206\/(-32). Let i = s + 25\/6. Are i and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 = 2*k, -3*k + 1 + 0 = 2*b. Let r = 1\/3 + 0. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (sqrt(832) + sqrt(832)*-2 + sqrt(832))) + -4 - (sqrt(832) + -1*(sqrt(832)*3 - sqrt(832))))**2.\nAnswer: -128*sqrt(13) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.254 - -110.254. Let o = t + -109. Let h = 10 - 11. What is the closest to -3 in h, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:58 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*r - 7, 13*g - 10*g = 5*r - 45. Let o be r\/9 + (-25)\/(-75). Solve -3*n + 8 = -o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99\/12 + (-3)\/12 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.31415 decades to millennia.\nAnswer: 0.7931415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37.3498 greater than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1. Suppose -c*i + 33 = -67. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -1c0?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.03 (b) 0.5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.000698754\nAnswer: 0.0001397508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26284 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202299 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - 4*x + 3*x + 5*x**2 + (x + 1 - 1)*(-11 - 8*x + 11).\nAnswer: -7*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008489 to 6 decimal places.\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-231)\/(-6))\/7*1468\/4037?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/3 - 2449*f**3\/6 - 7550*f**2\/3 + 10225*f\/2 + 37875 = 0. What is f?\nAnswer: -606, -5, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57256?\nAnswer: 2, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 24 + ((25 - 6) + -8 - 12).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*t + 666 = 48 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-24)*3\/(-14). Let z be 0 - (-2)\/4 - 1. Which is the biggest value? (a) u (b) 1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 9. Let q be 1\/((-1)\/((-2)\/2)). Suppose -4*a = -q - 11. Solve -a*t + o = 0, -c*o = -o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + h - 7, 4*y = 3*y + 3*h - 11. Let u be (118\/(-56) + 2)*-4. Which is bigger: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -4, 4, 0.4, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/2 (b) -2 (c) -2.63 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 5 + 3)*(-2*h**2 - 4*h**2 + 3*h**2)*(4 + 0 - 1)*(27 - 2 + 7).\nAnswer: -4320*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 + -0.8. Let h be (2 + (-1 - 2))\/1. Let n be (-3)\/4*-1 + h. What is the nearest to n in -0.1, 0.3, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*r - 0*l + 418, 0 = 2*r - 3*l - 422. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*1437\/(-2874)*248\/(-12).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4040210851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/25)\/(m*m**(2\/7)) assuming m is positive.\nAnswer: m**(-218\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - 62. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5836.152l in millilitres?\nAnswer: 5836152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 + 78*s**2 - 39*s - 31. Give p(19).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-66)\/(-12))\/((-1)\/(-220)). Suppose 4*y - 5*b = -y - w, -4*b = -3*y - 722. Is y\/(-5) - (-4)\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176169 - -176171. Let k = -1 + -3. Let r = 4 - 3.7. Which is the second smallest value? (a) -1\/11 (b) k (c) r (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099583485?\nAnswer: 5, 677, 620261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*z**2 + 225*z**2 - 63*z**5 + 5 - 72*z**2 - 76*z**2 wrt z?\nAnswer: -3780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)*-1)\/sqrt(4) - sqrt(91)\/(sqrt(21)\/sqrt(3)) - ((-3*(2 + sqrt(13)) - sqrt(13)) + -5))**2.\nAnswer: 44*sqrt(13) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 9:49 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 70 - 110 = 0. Let j = -55 + w. Suppose -3*c = 2*l + 22, -j*c - 16 = -2*l + 10. Let f(p) = 5*p + 7. Let s(n) = -4*n - 6. Give c*s(y) - 5*f(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15188616.\nAnswer: 2, 3, 17, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 10, -723 in ascending order.\nAnswer: -723, -1, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npb when three letters picked without replacement from {p: 1, r: 2, b: 1, n: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -30?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 547 or 546?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.457 - 41.107. Let p = x - -40. Let o = p + 0.85. What is the nearest to o in 0.4, -2, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 529307213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0786 + -0.1214. Let w = 2.05 - 0.05. What is the third smallest value in 1, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 16 - (-6 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 1855.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {k: 3, p: 2, z: 3, o: 1, y: 7, e: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3 - j + 0 + 0 - 2. Let w(c) = -7 - 32*c + 38*c + 2. What is 3*u(f) + w(f)?\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 2 = -f, -7*c + 6*c = -2*f + 7 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61826 take away 0.1?\nAnswer: 0.51826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - (-3 - (3 - 18)\/5). Let x(d) = d**3 - d**2 + 2*d**2 + 9 - d + 7*d**2 + 2*d. Let u be x(h). Solve -g + 0*g + u = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874598094.\nAnswer: 2, 3, 2833, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 6. Let x be u(-4). Suppose x*g + 1 - 5 = 0. Suppose 0 = w - g*c - 60, 0 = -4*w - w + 3*c + 265. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -987 + 986 + 43*c + 0*c**2 - 6*c**2. Let u be o(7). Calculate the greatest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22091108154 minus -705?\nAnswer: -22091107449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-6 + 0 + 8)*(30*v**3 - 5*v**5 - 30*v**3).\nAnswer: 20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q - q**4 + 2*q**3 + 0*q**4 + 0 + 18*q - 1 to the form r*q**3 + j + a*q + i*q**4 + v*q**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9099.60438 + -9100. Let i = -0.398 - p. What is i rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/22 + (-8)\/880*58)\/(-10)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 393839 + -393839.279611. What is d rounded to 3 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.7833 + -0.2167. Sort 2, -0.08, 3\/7, q.\nAnswer: q, -0.08, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5400 divided by -270?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -168, -172, -178, -186, -196?\n\"Answer: -g**2 - g - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*p = -289*p - 3. Sort 26, -4, p, 1 in decreasing order.\nAnswer: 26, 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**4\/9 + 14*n**3\/3 + 82*n**2\/3 + 310*n\/9 - 200\/3 = 0?\nAnswer: -12, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 19 = 4*h, 12*h = 15*h + 3*l + 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 5\/(-5))\/3. Suppose 3*m + 53 = 3*i - 217, 4*m = -4*i - 344. Let j be m\/(-14) + (-2)\/7. Solve -5*l + j*l = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -14.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -6.7. Let r = 247\/6 - 41. Sort -4, w, r in decreasing order.\nAnswer: r, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.671 - -0.029. Let h = 47.1 - b. Let t = 13 - h. What is t rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17516200 to the nearest 100000.\nAnswer: 17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1681, 1643, 1607, 1573, 1541?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54, -53, -52?\n\"Answer: o - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41067560?\nAnswer: 2, 5, 31, 33119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -77698*n - 9867638. Determine m(-127).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 829880 divided by -207470?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6513403, -13026811, -19540219, -26053627, -32567035, -39080443?\n\"Answer: -6513408*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/5 + 311960*r + 32756682\/5 = 0. What is r?\nAnswer: -21, 779921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -440 + 20101?\nAnswer: 14111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 17*t - 26. Let j = -405 - -411. Let r be u(j). What is the greatest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8156*c*u**3 - c*u**2 + 22*c*u + 2*c + 1 wrt u.\nAnswer: 48936*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584, 813, 1176, 1673, 2304, 3069, 3968?\nAnswer: 5001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**7\/280 - n**5\/80 - 3*n**2\/2 + 20*n. Let q(o) be the first derivative of f(o). Factor q(b).\nAnswer: 3*b**2*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5345744.\nAnswer: 2, 29, 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j. Suppose -2*z + 30 + 8 = j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4 + 26*l**3 + 192*l**2 + 288*l = 0.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + c - 90 = 0. What is the remainder when 71 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 963, -18, -261 in ascending order.\nAnswer: -261, -18, 963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29566773 by 9855591.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2277.289 times 53\nAnswer: 120696.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*a - 75 = 77*a + 5*k, a + 3*k - 8*k = 35 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3903 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 3 - 4019*u + 878*u + 18 + 3 in the form n*u + p and give n.\nAnswer: -3141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 - 92. Suppose x*t - 16*t = 110. What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5446, 10337, 15548, 21085, 26954, 33161?\nAnswer: 39712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 449*d + 83 wrt d.\nAnswer: 449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 1 - (-607)\/(-44). Let n = -65\/4 - w. Calculate the common denominator of -59\/7 and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 425038648\/7291791 - -36\/62323. Let c = k + -544\/9. Find the common denominator of c and -1\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q - 5*q + 0*q)*((4 - 3 - 3)*(q**2 + q**2 + 4*q**2) + (-2 + 1 - 1)*(-4*q**2 - 7*q**2 + 10*q**2)) to the form t*q**3 + l*q**2 + d*q + k and give t.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 210, 207, 204?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15544379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, 598, 0.03 in descending order.\nAnswer: 598, 0.03, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39 + 6 + (-3 - 0). Let z = 626\/15 - u. Let l(q) = -q**3 + 3*q**2 + 3*q - 11. Let r be l(2). Is z < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h - 115. Let c = -19 - h. Suppose 0 = -c*w + f + 17, 0 = 4*w - 0*w - 5*f - 37. Solve 6 = w*z - 6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 7 - 10 - (-2 - (9 - 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 38 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:30 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005904 rounded to 6 dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -24. Let u = 29\/9 - d. Find h, given that 2\/9*h**3 + u*h + 0 - 4\/9*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417667*d**2 + 208803*d**2 + 208831*d**2.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -243734584 from 0.2902.\nAnswer: 243734584.2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 86756987929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1338 (base 10) in base 12?\nAnswer: -936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*r - 398*r - 3504 = 62*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220085716?\nAnswer: 2, 457, 120397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r**(1\/12)*r*r*r)\/r)\/r)\/r*r**(-6))**(31\/2)\/((r**(-5)\/r*r**5*r)\/(r\/(r\/((((r\/(r*r*r**2))\/r*r*r)\/r)\/r))*((r**0*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-1949\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 24. What are the prime factors of u - -3 - (1 - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016 + 946 - (8 + -2 + 6)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3754 + 0.06.\nAnswer: -3753.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-1 - -3) + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1675580 divided by -20\nAnswer: -83779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -14*r - 16. Let l = -5754 + 5758. What is z(l)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -74?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*q - 0*q, -x + 10 = -4*q. Suppose j + 19 = 2*c, x*c + c = -5*j + 9. Solve 2*n = -4, 3*b + n - 13 = c*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - -279. Calculate the highest common factor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(432) + (sqrt(24)\/(sqrt(8) + -4*sqrt(200)))**2.\nAnswer: -358\/361 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4132602?\nAnswer: 2, 3, 229589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 8. Let t = 127 - 276. Let p = t - -150. Which is the closest to p? (a) -0.4 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let k(a) = -52*a + 14. Let s(p) = -3*p - 2. Let g(r) = 3*k(r) + 21*s(r). Calculate c(g(z)).\nAnswer: 95922*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11752, -11786, -11858, -11986, -12188, -12482, -12886?\nAnswer: -13418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*k**2 + 525126*k - 12703218?\nAnswer: -28*k + 525126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*p = -71*p - 814. Let z = p - -788. List the prime factors of z.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37090 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1035405 (base 6) to base 14.\nAnswer: -14c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 20. Let u(t) be the third derivative of 0 - 1\/1848*t**8 - 1\/385*t**7 - 1\/330*t**5 + 0*t**3 - 1\/220*t**6 - t**2 + 0*t + b*t**4. Factor u(r).\nAnswer: -2*r**2*(r + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3689 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, s: 1, y: 3}. What is prob of picking 3 u and 1 y?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 - -2.1. What is the biggest value in 0.2, x, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517*j + 534*j + 563*j - 1607*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17833144 divided by 316\nAnswer: -56434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*z + 202*z = -42. What is the smallest common multiple of z and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*z - 4 + z as j + u*z and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -289251823*q**5 + 4178*q**2 - q + 3079 wrt q?\nAnswer: -17355109380*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135807967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 - 5*g**2 + 6711*g\/2 - 10017.\nAnswer: -(g - 126)*(g - 3)*(g + 159)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/(-10) - 288\/(-20) and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(1 + sqrt(2)).\nAnswer: 36 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - j - 2 + 1 + (-4 + 3 + 3)*(j - j + j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -253, -243, -227, -205, -177, -143?\n\"Answer: 3*x**2 + x - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.4+64.024\nAnswer: 65.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 7*i - 2. Let j be v(-6). Let d be 5\/20*-5*j. Suppose -d = -2*o + 250. Calculate the greatest common factor of o and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*b + 493*b = 50*b + 1812. Suppose -2*s + 30 = 3*s. Sort -5, s, b, 2 in ascending order.\nAnswer: -5, 2, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**2\/2 + i - 7. Give v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56.9 * -21122.\nAnswer: -1201841.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3598345939.\nAnswer: 31583, 113933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398 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: Collect the terms in 0 + 629999*b - 630007*b + 0 + 0.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002877 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -901.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 244. Let x = w + 218. Solve -x = 4*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 3\/4 (c) 2\/11 (d) 19 (e) -1 (f) -30388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -17 - (-10 - (4 - 12) - -18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**4\/6 + 50*l**3 - 965*l**2\/6 - 6710*l = 0?\nAnswer: -61, -11, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**2 - 505058*s + 1445001 wrt s?\nAnswer: 2*s - 505058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -2\/17, 3, -16, -3\/7 in ascending order.\nAnswer: -16, -3\/7, -2\/17, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 3.02. Let m = g + -3. Suppose -l - 13 = -2*z, -5*l - 20*z + 21*z = 20. What is the nearest to 1 in l, -1\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g - 1. Suppose 26 = -2*b + 7*b + 4*p, -4*p = -16. Let u(q) = 10*q. Suppose -8*l + 33 = 9. Let z(j) = b*u(j) + l*x(j). What is z(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 2*h**2 - h. Let c be u(-2). Suppose 0 = c*d + d - 18. Calculate the lowest common multiple of 33 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 9) in base 11?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2466*l**2*r**2 + 3*l*r**2 - 3374*r**2 wrt l?\nAnswer: -4932*l*r**2 + 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*p + 61*p - 936. Let k = p - -802. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -9 - 51. Suppose 0 = 8*y + 18 + d. Let t(l) = -2*l**2 - 18*l - 21. Calculate the least common multiple of 15 and t(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**13\/h)**(2\/43)\/(h**14)**(-12) assuming h is positive.\nAnswer: h**(7248\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -451, 2, -5, 6 in increasing order.\nAnswer: -451, -5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o**3 + 6*o. Let t(v) = v**3 + 2*v**2 - v - 1. Let n be t(-2). Suppose 0 = -g - 5 - n. Let u(r) = -r**3 - r. Determine g*u(q) - l(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 797102 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -4 + 0)\/2. Suppose j = -4*t + 2*t + 2*w, -5*t = -3*w + 8. Let r be 1\/(10\/t) - (-2)\/5. Solve 1 = -f - r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10205, 9985, 9765, 9545, 9325, 9105?\n\"Answer: -220*s + 10425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*n - 755 - 1181 = 49*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a hour in minutes?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l - 2*l)*(-4*l**2 + 4*l**2 - 3*l**2) + 2 - l**3 + 2*l - 2.\nAnswer: 8*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 646 - 639. Solve -2 = -x*m + 9*m, 5*m = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/(-42) + 1\/(-7))*-24. Let h(j) = -2*j - 16 + 7 - 9. What are the prime factors of h(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7292 - 7290 + 1411*g**3 + 197*g**3)*(1 - 1 - 2*g)*(-1 - 5 + 5).\nAnswer: 3216*g**4 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433, -864, -1295?\nAnswer: -1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6966*t + 13895*t - 4 - 6955*t - 104*t**2 to n*t**2 + g + m*t and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -285.9 - -273. Let y = i + 13. Put 1, y, 0 in decreasing order.\nAnswer: 1, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -113*k - 20. Is 11 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/78 - -2\/13. Let f = -1.8725 - -3.8725. Sort -5, d, f in decreasing order.\nAnswer: f, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -257*s**2\/2 - 13106*s + 102.\nAnswer: -(s + 102)*(257*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -223*l**6 - 1049*l**3\/3 - 1693. What is the third derivative of t(m) wrt m?\nAnswer: -80280*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/3)\/l**(-2\/7)*(l**14)**3)**(-2\/55) assuming l is positive.\nAnswer: l**(-344\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 26\/68 + ((-11)\/(-4))\/((-74613)\/(-3192))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -112417.\nAnswer: 22483.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -630, -3959, -12594, -29187, -56390?\nAnswer: -96855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144333961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19599\/4 - 4861. Let d = 39 - f. Is d <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13307054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**3 + 0*q**3 + 2*q**3)*(2 - 1 + 0)*(-55 + 142 + 391) to h*q**3 + s*q**2 + o + u*q and give h.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2677 - -34783\/13. What is the third smallest value in 4\/3, 1\/3, a?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + t)*(-621*t + 94*t - 234*t + (3 + 13 + 2)*(-4 + 4 + t)*(0 + 4 - 6)).\nAnswer: -797*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**3 + 8*l**2 + 3*l + 5. Let v(b) = -b**2 - 4*b + 18. Let x be v(3). Is j(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-186)\/18 - (-1)\/((-3)\/2). Let j = a + 19. Calculate the highest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20571.0225 rounded to the nearest one hundred?\nAnswer: -20600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 15*i + 24*i - 3672 = 0. Solve i*u = 104*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*w - 152*w - 596 = 0. Let u(i) = -13*i**2 + 11*i. Let q(m) = m**2 - m. Suppose 2*a - 2*g + 38 = 0, -70 = 2*a + 4*g - 14. What is a*q(l) + w*u(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsttstt. What is prob of picking 3 t and 1 s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 a when three letters picked without replacement from vavvavvvaaaav.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c - 48. Let o be l(9). Solve -2*p - 12 = 4*x, 2*x = -2*p - 0*x - o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -294974, -294935, -294860, -294749, -294602, -294419?\n\"Answer: 18*x**2 - 15*x - 294977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**5\/40 + k**4\/6 + k**3\/3 - 3*k + 5. Let y(s) be the first derivative of c(s). Suppose y(r) = 0. Calculate r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*j + t + 191, -4*t = 5*j - 307. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 29*o**2 - 12*o + 5. Is v(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*i - 12, 0*i - 6 = -4*m - i. Suppose -5*p = -0*q - 2*q - 2, 2*q + 2*p = 26. Solve d + m*d - q = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + c + 2 - 10 = 0, c + 12 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 34?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -396*d - 789. Let h be t(-2). Factor -2\/13*s**h + 2\/13*s**4 - 2\/13*s**2 + 0 + 2\/13*s.\nAnswer: 2*s*(s - 1)**2*(s + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935300868 to the power of 1\/3, to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 - 14\/35. Suppose u = 2*l - l - 11. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 2:45 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/4 - 4710*b**3 + 7380828*b**2.\nAnswer: 3*b**2*(b - 3276)*(b - 3004)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3127 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 3*d**4\/16 + 7*d**3\/4 + 9*d**2\/2 - 209. Factor a(t).\nAnswer: 3*t*(t + 3)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrp when three letters picked without replacement from lrggggryrryrppr.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 3513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33125 is divided by 33005?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90067968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 21*u**2 - 11*u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 351045 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-276)\/10)\/((-9)\/120) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/((-64)\/192) - (-14)\/(-24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1) + (-6 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 minutes after 11:36 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*(5 + ((sqrt(50)*2)**2 - sqrt(50))).\nAnswer: -816 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1014*j**2 - 3021*j**2 - 2*j**3 + 1004*j**2 + 10 - 2*j + 1004*j**2 + j**4 to the form h*j**3 + v*j**4 + m + d*j**2 + i*j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 0, -n + 3*x - 4 + 1 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknp. What is prob of sequence pk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + (142 - 10) + -45.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 8:31 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -899499516*s**3 - 952995714*s**2?\nAnswer: -5396997096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 - 161*t + 786. Give w(5).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62595593.\nAnswer: 349, 179357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -20. Find the first derivative of -1646*a**3 - 6*a**4 + 1646*a**k - 17 wrt a.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 11*v - 39. Calculate r(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2729a9 (base 11) to base 2.\nAnswer: -1101000100110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 110, 115, 122, 131, 142, 155?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282.4249 millilitres to litres.\nAnswer: 0.2824249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 8 = -5*j, 42 = 2*a + 2*j. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-63) + (216\/21 - -4 - 0). What is the greatest common factor of p and 2114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -22. Let i(l) = 2*l**2 - 14*l + 7. Let k be i(7). Let w(h) = h + 1. Let c be w(k). Solve 0 = u*f, 0*t - 2*t + 2*f = c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 290 + -287. Let h be 2\/4*(-9 + 1). Which is the closest to 2? (a) p (b) 2\/21 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/2*(-2)\/2. Let j(r) = r**2 + 4*r - 3. Let i be j(-5). Solve -n - x - i = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 721370*k - 4 + 5 - 5 - 721372*k. Suppose f + 17 = -3*o, 3*o = f - o + 3. Calculate y(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 6:25 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*(sqrt(1800) + -2 + sqrt(1800) + sqrt(1800)) + 0) + -2)**2.\nAnswer: -234000*sqrt(2) + 10127704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 9*a - 33 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 41. Let p(j) = 5*j - 15. Let l(m) = 4*m - 14. Let d(c) = 6*l(c) - 5*p(c). List the prime factors of d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*y**2 - 11 + 10 + 27*y**2 to i + u*y + d*y**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204113?\nAnswer: 7, 13, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3172 + 3164. Let o(m) = -m - 30. What is o(x)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/6)\/2*6. Suppose 0 = h*d - 4*v + 16, -5*d = 3*v - 6 - 6. Which is the third biggest value? (a) 0.5 (b) d (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 26040\/3457 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -9 - -6 - (-3 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 153*f**2 + 1\/5*f**3 + 3316275 + 39015*f = 0. What is f?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*l**2*y**3 + 69*l**2*y + 15*l**2 - 208*l*y**3 - 15*l*y - 2*y**3 - 2*y**2 wrt l.\nAnswer: -134*y**3 + 138*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = 3. Let o = -28 + 46. Let y = o + x. Solve n - 12 = 2*q - 0*n, -3*q - 4*n - y = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 16) in base 2?\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97*1.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + -4 + 8 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97\/(-194)*5\/(-1)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/15)\/(((-44)\/6)\/2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/3, 0.622, -2\/11, 2?\nAnswer: 0.622","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4356260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(51)*-1)\/(sqrt(3) - 2*sqrt(363))*3.\nAnswer: 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/1239 and -45\/49.\nAnswer: 8673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 5. Let w = -78 + 98. Suppose -x - x + 20 = 5*n, w = 5*n. Determine g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Let m = -2 + w. Suppose -4*o - m = -53. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 1\/9, 472, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.1 - 1.9. Let v = 19 - 23. Let x = v - h. Which is the smallest value? (a) 5 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, w: 4, f: 1}. What is prob of picking 1 f, 1 w, and 1 i?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*6\/(-9))\/(25\/(-15)). What is b in -3\/5*b**3 - t*b**4 + 0*b**2 + 0 - 3\/5*b**5 + 0*b = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (95 + -91 + (6 - -2 - -2))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28616520, -28616515, -28616508, -28616499?\n\"Answer: a**2 + 2*a - 28616523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -72914906.5 rounded to the nearest 1000?\nAnswer: -72915000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*b - 982*b = -3305 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 16. Let j be (-6)\/1 - (42 + -41). Determine b(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -744818 times -1?\nAnswer: 744818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4264 is divided by 107.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 - 1205*u + 2415. Calculate i(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7 - 5*v + 2 + 0*v + 6*v. Give t(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*w + 8374 + 1156 = -882 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.66 - -3.34. Which is bigger: j or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 21. Suppose y = a - 12, -y + 3*a - 2 = -0*y. Let d = -9 - y. What is the remainder when m(-7) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*v**3\/2 - 287*v**2\/2 - 527*v\/2 - 289\/2.\nAnswer: -(v + 1)*(7*v + 17)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h + 2*h**4 + (-3 + 1 + 1)*(-h**4 - 8*h**3 + 8*h**3) - 2*h**4 + h**4 - h**4 + (3 - 7 + 3)*(-50*h - 1721 + 1721)*(5 - 5 + 3*h**3).\nAnswer: 151*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 120 - 49*l - 24*l + 12*l + 11*l - 52*l. Does 20 divide g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1130\/3 - -18113\/48. Let t = 7\/48 + i. Let k = 5.4 - 5. What is the closest to 1\/5 in -0.3, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n - 1. Let g = 125 - 57. Let s(v) = g - 3*v - 2*v - 68. Let l(t) = 2*f(t) + 5*s(t). Give l(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2451, -9161, -20329, -35943, -55991, -80461?\n\"Answer: 2*n**3 - 2241*n**2 - n - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -164 + 10*1*4\/(-8). Let v be 2 - (t\/65 - 6\/15). Let q(f) = -4*f - 4. Let r(c) = 9*c + 9. What is v*q(y) + 2*r(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(-5 + -3*sqrt(684) + -2*sqrt(19)*3).\nAnswer: 10 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {u: 2, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 7*h. Let o be (-9)\/((-2)\/(-2)) + 4. Does 20 divide a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4820+509985\nAnswer: 505165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4788 + 7755. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1 - 57*g + 7*g**2 - 5*g**2 + 56*g - 2*g**3. Let k be t(1). Suppose 0*s - 3\/2*s**4 - 3\/2*s**2 + k - 3*s**3 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w + 5*l, 4*w - 36 = 2*w - 2*l. Factor -21\/2 - w*o - 3\/2*o**2.\nAnswer: -3*(o + 1)*(o + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6946405 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*x - 97*x + 4 = 0. Solve 3*m - 11 = -y, -x + 19 = 3*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*v + 46*v = 50. Let o be 60\/(-80) + 166\/8. What is the greatest common factor of o and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.1 (c) 2 (d) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.2. Let g = r - -2.1. Let d = 1.84507 - -0.15493. Which is the nearest to d? (a) g (b) -0.07 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/b**24*b)**(-4)*b\/((b\/b**26)\/b)*b\/b**(9\/2))**27 assuming b is positive.\nAnswer: b**(5589\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.57 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 13974?\nAnswer: 27948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - (200\/(-40) + -42)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Let t = 5 - i. Let u(o) = 9*o - 5. Let j(r) = -10*r + 6. Let g(s) = 4*j(s) + 5*u(s). Determine g(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**3 + 4*k**2 - 2*k. Suppose -51*c = -2*x - 46*c - 24, 4*c = 6*x + 6. Let z(q) = 6*q**3 - 3*q**2 + 2*q. Give x*h(p) + 4*z(p).\nAnswer: 3*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16760 is divided by 3351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-9599732.99\nAnswer: -9599733.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -8, 10, -1.\nAnswer: -8, -4, -2, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 5 - 0)*1 - (-754)\/312*12?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/13, -4923, 5, -1\/22 in decreasing order.\nAnswer: 5, 2\/13, -1\/22, -0.2, -4923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Let j = k + -5. Solve 0 = -3*p - j*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -420, -556, -756, -1008, -1300, -1620?\n\"Answer: 2*p**3 - 44*p**2 - 18*p - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -1 + 2 - ((sqrt(88) + -1*sqrt(88))\/sqrt(8))**2.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4 - 3*v**2 - 5 - 50*v + 4*v**2 + 32*v. Let q be h(8). Let x = q - -119. Solve j = b, -3*b + x = 2*b + 5*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 367, -121, -609, -1097?\n\"Answer: -488*h + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.2, -692, -5, -0.034?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10337? (a) 1 (b) 0.1 (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 331*u**2 - 997 wrt u.\nAnswer: 662*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 1. Let s(q) = -28*q + 12. Let f(p) = 12*l(p) + s(p). Let i(d) = 10*d. Give f(i(v)).\nAnswer: 80*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {g: 1, r: 1, k: 1, p: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-197))\/((-4)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 554.8864g to micrograms.\nAnswer: 554886400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*l**3 - l**2*s**3 - 173718*s**3 wrt l?\nAnswer: 222*l**2 - 2*l*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -68*u + 153*u - 84*u. Let b(o) be the second derivative of 20*o**3\/3 + 8*o. What is k(b(l))?\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15574636 and 63?\nAnswer: 140171724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/72 and -61\/156740120.\nAnswer: 1410661080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1. What is the closest to d in -0.3, 2\/3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 11) in base 3?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**3. Let d = -34 + 44. Let s be d\/(-50) + (-208)\/10. Let c(x) = -x**3. What is s*c(r) - 6*z(r)?\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 12 = 0, -18 = 161*o - 159*o - 3*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/18*(-4)\/((-40)\/18)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 2*u + 6*u**2 - 4*u**2 + 4*u to the form l*u + q*u**2 + h and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 + 14022*k\/7.\nAnswer: 2*k*(k + 7011)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -58 - (115 + -27 + -90)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(66)*1*-5 - (sqrt(66) - (-6*(sqrt(66) - sqrt(66)*-2) - sqrt(66)))))\/(sqrt(6) - sqrt(54)\/sqrt(441) - sqrt(12)\/(2*sqrt(2))).\nAnswer: 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17673 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/325, 7.8, 4\/7, 5?\nAnswer: 3\/325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7757 and 415.\nAnswer: -321.9155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -275, -1140, -2597, -4646, -7287, -10520?\n\"Answer: -296*l**2 + 23*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2200141 by -1.\nAnswer: 2200141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3593, -3\/92, 71 in ascending order.\nAnswer: -3593, -3\/92, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 757985272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*n**3 + 268 with respect to n.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 13. Let n(k) = k**2 - 12*k + 15. Let y be n(11). Solve y*z - 8*z + 16 = r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4\/11)\/r*r**(6\/13))\/(r**(2\/11)*r*r**5) assuming r is positive.\nAnswer: r**(-870\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 18. Let a = -12 - -4. Let c be u(a). Suppose 3*i - 3*l - 30 = 0, -5*i + 5*l = -i - 37. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:09 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10 - (-46)\/6)\/(98\/(-185388))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2493 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5488*p**2 - 685*p - 50. Let v be y(30). What is v rounded to the nearest 10000?\nAnswer: -4960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7415 divide 4255038430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -27*m**2. Let f(k) = 2*k**2 - 55. Give h(f(v)).\nAnswer: -108*v**4 + 5940*v**2 - 81675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {y: 7, n: 3, b: 3, d: 7}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31570 and 28700.\nAnswer: 315700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u + 4*u + 32 + 30 - 56. Calculate k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12136, -24269, -36400, -48529, -60656, -72781, -84904?\nAnswer: -97025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -616.73*0.15\nAnswer: -92.5095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + x**3 - 2*x**3 - 217 - x**2 + 217 - 4*x**3 + (1 - 1 - x)*(2*x**2 + 5*x - 5*x).\nAnswer: -5*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 212*c + 146 wrt c?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2 = 18. Suppose n + 20 = o*j - j, j = 5*n + 2. Find the first derivative of 3*t**3 + 7*t - j*t - 1 wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 45\/4*j**3 - 39\/16*j**4 - 27\/20*j**5 - 1\/8*j**6 + 0*j + 75\/4*j**2 - 81. Suppose y(x) = 0. What is x?\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1389)\/279 + 5)\/((-104)\/234). What is the second biggest value in -1, 0.2, -0.1, z, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14171 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 120 + 496 = 0. Suppose 38*w = q*w - 29394. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 21*j - 64 + 24 = 17*j, 2*y - 2*j = -68 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-5))\/((-8)\/40). Solve -i + 5*c = -2*i - 12, -3*c - 14 = h*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbsslhbbbrsbsr. Give prob of sequence bhsr.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32814a (base 11) to base 10\nAnswer: 523258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 115*q**2 + 40*q - 1041. Let l be o(-58). Solve -4*n + 2*g + l*g = -45, -6*g = 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.14, -147, 3\/4, -659.4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182321)\/(-3335) + -52 - (-10)\/(-145).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 0 to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 - j**4 - 1 - j**3 - 14*j - 2*j**4 + j**4 in the form s*j**4 + k + f*j**2 + b*j**3 + t*j and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 11*o - 7. Let r(d) = -2*d**2 + 12*d - 8. Let u(m) = 5*r(m) - 6*v(m). Let t(s) = s + 2. Let i be t(2). Is u(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 - 4*k**2 + 3*k - 2. Let p be u(2). Suppose 93*m**p + 4*m**5 - 45*m**4 - 4*m**3 - 4*m**2 - 44*m**4 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e6 - 3?\nAnswer: 1e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**3\/6 + 5*l**2 - 3*l. Let s be w(-10). Suppose 2*r - 2*p - 38 = s, -2*p = -3*r + 2*p + 60. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*(4 + (sqrt(637) - sqrt(637)*-1))**2 + -2) + 2.\nAnswer: -15394 - 672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182007 by -6741.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4169 - -4182. Solve -5*j + 5 = -3*z, j - 5*z - q = -2*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10a964 + -62?\nAnswer: -10a9c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -524, 0.59, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83396206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8635 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 51, 5, 3, 0, 90, -18 in ascending order.\nAnswer: -18, -2, 0, 3, 5, 51, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 92914*m**2 + 7979510*m - 171479958.\nAnswer: 2*(m - 46371)*(m - 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.02 + 0.02. Let x be (-6)\/(-12) + 18\/(-20). Which is the closest to d? (a) -0.2 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/((-1)\/(-84)). Let i be -2*(m\/4)\/(-3). Let r(z) = z**2 - 8*z + 2. Let u be r(i). Put u, 4, 5 in decreasing order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*m - 2*i - 3, -3*m - 4*i = -7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5 + 2. Let k = 9 + u. What is the remainder when 15 is divided by 222\/27 - k\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36766 - -36595.3065. Let i = 0.0935 + n. Round i to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2389 - 5369 = -17*d + 6795. Solve -10*h - d = -495 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4800) + 2)*-6 + (-6*1*sqrt(4800) - sqrt(4800)) - (-3 + 5 + -2 + 2*sqrt(4800) + sqrt(4800)))**2.\nAnswer: 15360*sqrt(3) + 1228944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 4*g**2 - 4*g + 3. Let o be m(-5). Suppose -2*j = -5*h - 3, -2*j = -2*h - 2*h - 4. Which is the smallest value? (a) j (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 115 - -2a2?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*u + 82*u - 296 = 0. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1, 0.39, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 8 = -4*a, -4*n = -2*a - 24. Suppose n*x - 4*j - 272 = 0, j - 223 = -4*x + 49. What is the highest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 3:35 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*d - 30 = 0, -4*d + d - 15 = 0. Let c(p) = -p**3 + 14*p**2 + 15*p. Let l be c(15). What is the nearest to -6 in -9, l, t?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f*s**2 + f*s - 149064*f + 6*s**2 - 6339*s - 14 wrt s.\nAnswer: -6*f*s + f + 12*s - 6339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 5*i - j = -10*i - 9 - 18, -4*j = 2*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from {t: 1, r: 2, e: 2, o: 4, y: 1, a: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6900 divided by -300?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - (-7 - -3)) - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*h - 357 = 0, 5*h - 310 = -4*t + 164. Suppose 0 = 3*g + 115 - t. Solve -g*l + 0*l = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ggcccfvggcccvvfe.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 15\/4*l**2 - 3\/2*l + 3\/8*l**5 + 3\/8*l**3 + 3\/2*l**4.\nAnswer: 3*(l - 1)**2*(l + 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3*u - 585 = -572, u = -2*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -331, -301, -275, -253, -235, -221?\n\"Answer: -2*a**2 + 36*a - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/68 - 14\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25\/7 (b) -30\/7 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 9*j**2 + j + 9. Suppose 450*w - 454*w + 36 = 0. Give p(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16300, -65217, -146746, -260887, -407640, -587005?\nAnswer: -798982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*i + 987 - 11068 = 0 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1 - (6\/4)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-1)\/2*(28\/35)\/(3978\/(-195))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*k + 16*k + 672. Suppose 2*l = 168 + k. Suppose 9*j = 10*j - l. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let d(v) = -10*v. Let h(l) = -l. Let b(n) = 3*d(n) - 15*h(n). Calculate o(b(f)).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 30*x + 23. Let h be b(-2). Let t = h + 37. What is the closest to t in 2, -2\/21, 30?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2. Let s(l) = -l**2 + 6. Let x(t) = 2*t**2 - 3*t**2 + 0*t**2 + 5. Let r(n) = -5*s(n) + 6*x(n). Give o(r(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-1774)\/29271)\/(1\/(-33)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yeyewwwyewy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2712)\/144*(-3)\/(-56) and 89\/2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**3)\/j)\/(j*j\/j**(-3)*j*j))**(-24) assuming j is positive.\nAnswer: j**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (1 + 1*-6*-3*sqrt(272) + -4)**2).\nAnswer: -440670 + 2160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-32))\/(1*3\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + -9.6. Let t = x - -7.8. Let m be 6\/8 + 2\/8. What is the closest to m in t, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 at least as big as -50\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 801829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/302058 and -37\/102?\nAnswer: 5134986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -457, -4, 0.8882.\nAnswer: -457, -4, 0.8882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 251322 divided by -12?\nAnswer: -41887\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3 + 2 = -d, -4*d - 20 = 3*v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 5. Let r(g) = 2. Let k(z) = 5*r(z) + 2*y(z). Let c(i) = -13*i**2 - 3*i. What is k(c(h))?\nAnswer: -26*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -26 + 68 + -50.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (11 + -12 + 29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 4*h + 4. Let m(g) = 2*g**2 + 3*g - 3. Let j(o) = 4*m(o) + 3*p(o). Let c(b) be the first derivative of 105*b**2\/2 + 339. What is j(c(x))?\nAnswer: -11025*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.003.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*i + 607*i - 121*i - 120*i - 120*i - 123*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 - -2)) + -3 - (28 - 51).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 3:44 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -2. Let h = n - -3. Let l = h - -9. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 460 - 168818\/367. Is i at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i**2 - 3*i**2 - 5*i**2)*(-6 - 14 + 4).\nAnswer: 384*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 617, 1352, 2071, 2762, 3413, 4012?\n\"Answer: -2*z**3 + 4*z**2 + 737*z - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -47*z**2. Let f(b) = -2*b + 42*b**2 - 40*b**2 + 2*b. Determine f(h(m)).\nAnswer: 4418*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 3*i**2 - 7*i + 14. Let w be z(6). Let m = -170 + w. Calculate the greatest common factor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33857254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 5*m - 10. Let k be l(-7). Let w(x) = -60*x + 730. Let a be w(12). Solve -2*p - k + 2 = -o, 4*o + a = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*n - 44*n + 16. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 11*r - 6. Calculate t(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -126 (c) -3\/4 (d) -4\/29 (e) -2\/7 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-26)\/20))\/(4\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 16*g**2 + 1459*g - 37. Give p(31).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2194, -4438, -6694, -8968, -11266, -13594, -15958, -18364?\n\"Answer: -q**3 - 2237*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 30bb6?\nAnswer: -30bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, q: 3, c: 2, g: 1}. Give prob of picking 1 x and 1 g.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 25843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 7. Let s be i(8). Let k = 1 + s. Suppose 5*u - 1 = -26. Sort k, u, 3.\nAnswer: u, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1182873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-1)*t)\/t)\/t)\/(t\/(t**(-9)\/t)))**(-48) assuming t is positive.\nAnswer: t**624","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.491 + -0.722. Let l = 0.23100213 + z. Round l to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91675884 by 3.\nAnswer: -30558628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 359434621 to the power of 1\/2, to the nearest integer?\nAnswer: 18959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((17449497\/186)\/39).\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*7\/(26*5\/130).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 3*w + 0*w)*(11 - 1 + 0) in the form q*w + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 16*b - 17*b + 2 = 0, 4*b = -w + 23. Find the common denominator of w\/21 + 1455\/(-385) and -23\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 8, 0 = -3*d - 4*c - 9 - 16. Let s be (-6)\/(-24) - (-1 - d\/(-4)). Solve 0 = j + s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193 + -192.9999867. What is t rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 30*l + 6. Let z be v(-8). Let d = 345 + z. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 171455050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(24\/4))\/((-8)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -294 + 294. Does -182 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2329 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(26)\/(-1*sqrt(2)*6) + 2.\nAnswer: -2*sqrt(13)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6824 = -5*s - 6879 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by (-1)\/3 - (-175)\/21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/5 - 94*v**4\/5 + 1042*v**3\/5 + 94*v**2\/5 - 1044*v\/5 = 0.\nAnswer: -1, 0, 1, 18, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29443.61ml in litres?\nAnswer: 29.44361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 27*s - 6 = -q, 3*q + 74 = 34*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13050 + 0?\nAnswer: 13050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -41. Let q = 443 - 440. What is the lowest common multiple of q and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 7:54 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/30 + 17*g**5\/15 + 40*g**4\/3 + 128*g**3\/3 - 2*g**2. Determine l, given that z(l) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:54 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14)*56\/16)\/(344\/215).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 198763 = -198478 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 6*c - 3. Let u be i(-5). Suppose 3*l = -2*g + 7*l + 26, u*g + 2*l = 38. Suppose 4*f = -g + 129. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/55)\/(1\/5). Let l be 74\/232 - 1\/4. Which is smaller: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57571 - 31407. List the prime factors of y.\nAnswer: 2, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2858434, -2858438, -2858438, -2858434, -2858426, -2858414, -2858398?\nAnswer: -2858378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**4 - 130535*w**3 - 130480*w**2 + 1305260*w - 1044240 = 0.\nAnswer: -26106, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 1\/2*q**2 + 2*q + 0*q**5 + 0*q**4 + 61 - 3*q**3 + q**6. Find the second derivative of y(j) wrt j.\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 255 = -6*h + 14*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -26*l**2\/5 - 114*l\/5 - 108\/5 = 0.\nAnswer: -3, -18\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -68822158 - 50.62?\nAnswer: -68822208.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*t - 467*t - 40 = 6*p, 5*t - 34 = 4*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*w - 71 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -7. Let o be 808\/10 + ((-594)\/55 - -11). Let q be 18\/o + 141\/(-27). Which is the third smallest value? (a) -20 (b) v (c) q (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377044020?\nAnswer: 2, 3, 5, 17, 123217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/7 + -5 + 2. Which is the second biggest value? (a) x (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18154 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 234794 or 234797?\nAnswer: 234794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {d: 2, y: 6, n: 2, z: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3063202195 to the nearest integer?\nAnswer: 55346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -87 + dd?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1539013333 to the nearest integer?\nAnswer: 39230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2987 (base 12) to base 5.\nAnswer: 123410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26\/1843 - 18768\/23959. Is g greater than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**4 - 92*n**3*w**3 - 5*n**2*w + 163*w**3 wrt n.\nAnswer: -96*n - 552*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 10. Let c be w(-7). What is the greatest common divisor of 6 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 72 = 2*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 44. Let m be (-9)\/12 + (-23)\/n. Suppose -m*k = -395 - 500. What are the prime factors of k?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 3*s + 2*s**2 - 12 + 0*s + 10 - s to the form r + y*s**3 + a*s**2 + p*s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 10. Let w be c(7). Let f be (-40)\/70*(2 + (-475)\/10). Sort w, f, -5 in increasing order.\nAnswer: -5, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-62) - 2600\/188604*27.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -142163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 44 - 242. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -20*18*9\/(-25 - -7). Solve 24*k = -12*k - m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12521 + 12521 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29200809 and 65604.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/(-25))\/(4\/10). Suppose -m - 5*f + 76 = 0, -5*f - 262 - 142 = -j*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 10. Let r(w) = -2*w**2. Calculate p(r(m)).\nAnswer: -4*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243956.199 + 15265?\nAnswer: 259221.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27891, -55788, -83685, -111582, -139479?\nAnswer: -167376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-6 - (-5 + -1)) - (-54 - -70 - 13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2, -14 in decreasing order.\nAnswer: 5, 4, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - p**2 - 4*p + 6. Let h(s) = 13*s**3 - 3*s**2 - 16*s + 25. Let y be 4 - (3 + 3\/(-3)). Let c(k) = y*h(k) - 9*f(k). What is c(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 19*b - 20. Let s be t(18). Sort -1\/6, s, -0.3 in descending order.\nAnswer: -1\/6, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25ea + 71?\nAnswer: 266b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*(8\/6)\/1. Suppose m - 5*w - 40 = -17, 2*m + 3*w = -6. Does 3 divide (3\/(-2))\/(m\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000101451304 to 7 decimal places.\nAnswer: -0.0001015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 33. Let i(t) = t**2 + 3*t - 7. Suppose -5*c + 5 = -0. Calculate the smallest common multiple of c and i(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 23 + 5. Suppose -187*p = 352*p + 114*p - 77707. Calculate the greatest common factor of g and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -122*3\/(-1*6). Suppose k - 2*i - t = 0, -5*k + i - 102 = -416. Calculate the highest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7983*a - 7981*a - 2.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -42*p**3 + 17*p**2 - 138*p - 6. Let k(q) = -14*q**3 + 6*q**2 - 50*q - 2. Determine 8*k(f) - 3*x(f).\nAnswer: 14*f**3 - 3*f**2 + 14*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19768*g**3 + 10710*g**3 + 9053*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + m**2 - 5*m - 23*m**3 + 11*m**3 + 16*m**3 + m**2 to k*m + u + p*m**2 + h*m**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505133.\nAnswer: 463, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m + 28. What is the units digit of m\/(-14) + 23\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 13 + 13)*(-221 - 26 - 21) as w*k + f and give w.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 13211003010?\nAnswer: -13211003010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 1. Let o(w) = -2*w + 5. Let t be o(5). Let h(f) = -4*f - 3. Let v(x) = -4*x - 3. Let d(b) = -4*h(b) + 5*v(b). Calculate t*k(u) - d(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*m + 21, 3*j - 4 = -1. Let i(b) = 166*b - 6088. Let k be i(37). What is the common denominator of m\/2 + 140\/k and 74\/33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-99))\/(2708\/171281).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(200) + (sqrt(200) - 1*sqrt(200)))*-3.\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18\/397, -3\/64, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/628358 and -115\/3798?\nAnswer: 5655222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*t**5 - 10*t**4 - 5879*t**3 - 1264226500*t**2?\nAnswer: 6900*t**2 - 240*t - 35274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 1 = -2*z, 2*w + 93 = -z + 103 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*o = 14, 3*z - z = 2*o + 8. Suppose -f = -2*s + 81, 2*f - 33 = -s + 5*f. What is the remainder when s is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 l when three letters picked without replacement from {a: 2, n: 3, l: 1, g: 5, v: 5, e: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - (-5 + 2 + -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Solve -2*k - 14 = f*a, -2*a - 5*k + 4 = -k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3324885.\nAnswer: 3, 5, 221659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/10 and 37\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, n: 10}. Give prob of sequence nn.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g = -2*w - 28*g - 18, 5*g = -2*w + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 60. Let z = u - -61. Let l(r) = 20*r**3 - 6*r**2 + 14. Let c(q) = -7*q**3 + 2*q**2 - 5. Let j(p) = -17*c(p) - 6*l(p). What is j(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, x: 7}. What is prob of sequence xx?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5797*i**3 - 2*i**2 + 4*i - 3. Let h be j(1). Let z = h + -16896. What is z rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -9*u + 23*u - 11*u. Let a(j) = -6*j**2. Give a(o(f)).\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -108*d - 898. Let o be i(-8). Let l(c) = 4*c**3 - 4*c**2 - 3*c - 1. Let a be l(4). Let y = a + o. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + 3*u - 2. Let a(m) = 5*m**2 - m**2 + 2 - 4*m + 2*m. Suppose -4*d - 2*r - 17 = -1, -d + 5 = -4*r. What is d*x(z) - 4*a(z)?\nAnswer: -z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3600 and 81630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/5 (b) -1\/10 (c) 129\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524.1825 millilitres to litres.\nAnswer: 0.5241825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/15)\/((-6)\/(-10)) - (6 - 6).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a decade in years?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5 + 108*p**4 - 105*p**3.\nAnswer: -3*p**3*(p - 35)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -287, -9, -5, 9\/7 in descending order.\nAnswer: 9\/7, -5, -9, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k - 4. Let m = -6 + 22. Let j = m - 19. Let p(y) = 7 + 0*y + 7*y + 2*y. What is j*p(f) - 5*q(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) 97 (d) 14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/(d**3\/d))\/d)\/d**(-2\/7))\/(d**(-1\/3))**3)\/(d**(-1\/6)*d**(-6))**(-1\/25) assuming d is positive.\nAnswer: d**(41\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -n + 5*s, -4*n + 0 = -s - 7. Solve -3*i + 2*b - 2 = -0, -2*i = -b + n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**5 + 93*h**4 + 12*h**3 - 3252*h**2 + 5472*h + 8640 = 0.\nAnswer: -6, -1, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38153 rounded to three dps?\nAnswer: 0.382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -22. Let x = 26 + l. Let n = -16.9999989 + x. Round n to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 1. Let d be b(-3). Suppose 5*a - 10*g - 10 = -7*g, 5*a - 10 = 5*g. Solve x + 15 = -d*j, -x + a*j + 6 = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1115 - -1115.2. Sort -8, 3, -8\/3, k in descending order.\nAnswer: 3, k, -8\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 449, 926, 1475, 2132, 2933, 3914, 5111?\nAnswer: 6560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*j - 94*j = -8*j - 3468. Solve -6 = 4*x - 2*w, 0 = 3*x - 4*x - 3*w - j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021222 - -12?\nAnswer: -1021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/754 and 89\/52.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*k**3 - 46*h**3*k + 199*h*k**3 + 135*k**2 + 136 wrt k?\nAnswer: 6*h**3*k + 1194*h*k + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/25*(-20)\/(-6). Let k(d) = -157*d - 7. Let n be k(s). Let v = -328 - n. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/658928364 and -83\/2823612.\nAnswer: 7248212004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {m: 2, t: 4, i: 4, n: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Let t = z + 18. What is the least common multiple of 6 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.9 * 1.\nAnswer: -31.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*(-6)\/(-33)*-11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkttlttlolttklt. What is prob of sequence ol?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 8, -1.\nAnswer: -7, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w = 214 + 281 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 126*a**2 - 249 wrt a.\nAnswer: 252*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - 5\/(-3). Let o = -8 - -12. Suppose -3*u + o*r = x*u - 339, u = -5*r + 62. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 10*f - 0*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24637 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.23 - -7.23. Which is the nearest to 5? (a) -2\/75 (b) 2\/9 (c) 1\/8 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 s when three letters picked without replacement from vvssvvssggssvsvvd?\nAnswer: 147\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 13 + 34. Let u = 11 + s. What is the least common multiple of u and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 4. Let q(y) = y - 5. Let t(j) = 6 - 4*j - 9 - 7*j**2 - 4 + 4. Let u be t(-1). Determine u*g(v) - 5*q(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46920060 and 900.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30451*b**3 + 160377*b**3 + 38013*b**3 + 75557*b**3 + 51068*b**3.\nAnswer: 294564*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87647 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + y**2 + y + 1. Let g(k) = -4*k**3 - 2*k**2 - 2*k - 2. Suppose -96*l + 9 = -72*l + 129. Give l*g(b) - 10*p(b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.606 - 106.394. Let s = n - -106.9999994316. What is s rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 - 3*z - 3. What is r(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*h - 3. Let r = 1 + -4. Let q = r - 0. Which is the second biggest value? (a) q (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -201451?\nAnswer: -201444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -1. Suppose o*b + 4*s = -2164, -1036 = 3*b - 3*s + 2165. Let p = -275 - b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*w + 8 = -y, 3*y - 3*w = 12. Which is greater: y or 3\/22?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -16 (c) -2 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111038 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, k: 5}. Give prob of picking 3 d.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d - 19. Let w be l(4). Let i be (-1)\/w - (-16)\/6. Solve -3*o - 5*p + 0 = 1, -i*o = -3*p + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 21 + 84*v - 30 + 70.\nAnswer: 84*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7353.\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:11 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 47, 172.\nAnswer: 1, 47, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*g + j, -j + 4 = g - 9. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b**2 + 3*b**4 + 19*b**2 - 107*b**2 - 2*b**3 - 24*b**2 - 106*b**2 in the form a*b**4 + x*b**3 + m + l*b**2 + f*b and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -13*u + 7. Let b(c) = 7*c - 4. Suppose 4*o + 5*g + 10 + 10 = 0, -4*g - 16 = -4*o. Suppose 4*d - 6*d = -10, o = 2*t - d + 15. Give t*b(l) - 3*v(l).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 262944 and 445544?\nAnswer: 16039584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025823.\nAnswer: 3, 23, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + 36 + -34 + 12 - 28.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 1328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, 6\/5, 0.2, -0.5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93112, -93122, -93146, -93190, -93260, -93362?\nAnswer: -93502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*c - 2*c + 5*b, -5*c - 2*b - 19 = 0. Let d(s) = s**3 - 2*s**2 - 8*s + 13. Let p be d(3). Suppose 3*f - f = 0. Put p, c, f in increasing order.\nAnswer: c, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4244157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g + 3588 = 3713 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 261 - 256. Solve 3*g = -y*o - 2, 3*o - 2*g + 5 + 0 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 + 181. Let y = -66 + 74. Calculate the remainder when h is divided by y + 1071\/72 + (-1)\/(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -22*n**2 - 61*n - 80. Let x be w(-6). What is the highest common divisor of 29 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 901661 and 526007?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31928 (base 10) in base 6?\nAnswer: -403452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v - 7. Let g(t) = 9*t + 14. Let q(s) = -5*d(s) - 3*g(s). Let u be q(-5). Let h be (-4 - 2)\/((-9)\/6). Solve -5*l - u = -h*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/520 and 5\/1794?\nAnswer: 35880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*c - 8*c**4 - 93*c)*((-4*c - c + 0*c)*(3 - 1 - 1) + 0*c + 0*c - c + (-3*c + 0*c + c)*(-2 - 2 + 3)).\nAnswer: 32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 5, 654, 0, -4 in ascending order.\nAnswer: -147, -4, 0, 5, 654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 43*w**7\/70 + w**5\/4 - w**4\/12 - 367*w**2. Find the third derivative of a(n) wrt n.\nAnswer: 3096*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 2*o**3 + o + (o + 3*o - 8*o)*(-3*o**2 + 4*o**2 + 0*o**2))*(2 + 2*o - 2) as m*o + v*o**2 + n*o**4 + q + i*o**3 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*a - 2*u - 19 = -581*a + 3*u, -a - 3*u = 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*r**4 - 8*r**4 + 249*r - 247*r)*(99 + 51 + 19).\nAnswer: 7943*r**4 + 338*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-901 + 1199)*(1 - (6\/(-21) + (-50)\/(-28)))\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Suppose -5*f = -3*f - 16. Let o(h) = -9*h**2 - 5. Let w(m) = -14*m**2 - 8. Let j(g) = f*o(g) - 5*w(g). What is j(q(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwd when three letters picked without replacement from hhddwwxs?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 339. Let i be d(0). Let l = i - -169. Let q = l - -111. Round q to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 27*p**5\/20 - p**4\/3 - 40*p**3 - 154*p. What is the second derivative of a(h) wrt h?\nAnswer: 162*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317868 divided by 19\nAnswer: -317868\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -491108353 times -1?\nAnswer: 491108353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22817?\nAnswer: 22817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4 (b) 36 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 6*b + 4*b)*(4*b**2 + b**2 - 4*b**2)*(10 + 3 - 5) in the form q*b + x*b**3 + s + j*b**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 19 = -r. Calculate the remainder when r\/(-9)*516\/(-8) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7074 (base 14) to base 6\nAnswer: 225222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3766 + -3767. Is 2\/1619 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + 1 + 5*-4*(sqrt(1008) + -1 + -4) + -3.\nAnswer: -240*sqrt(7) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*n - 16325, -4*d - 3*n - 3269 = -5*d. Suppose 28*s - 24*s = 5*r + d, 0 = -r + 5. List the prime factors of s.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 83 + 4?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39\/49 + 253\/441. Let y be -2*(3\/(-6))\/1. Sort y, 0.4, -0.5, m in decreasing order.\nAnswer: y, 0.4, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21055227 to the power of 1\/2, to the nearest integer?\nAnswer: 4589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 - 2*y - 2. Calculate p(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/9 - (-6)\/((-36)\/686). Let i = d - -19. Calculate the common denominator of -33\/8 and 6\/(-48) - i\/176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/7 - -9) + 4\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24554162 (base 7) to base 16.\nAnswer: 21cd13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*x + 15 = 0, k - 1 = -4*x + 7. Suppose 4*c - 16 = -k*h, c - 2*h - 2*h = -6. Suppose -82 = -22*q + 6. Solve 0*n = c*n - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1872) + sqrt(1872)*-1 + -6*sqrt(1872)*-1.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7612546*o**3 - 2*o**2*q**2 - 7*o*q**2 - o*q + 1988*o + 2*q**2 - 50*q + 2 wrt o?\nAnswer: 45675276*o - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 604385244 to the nearest integer?\nAnswer: 24584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1021.47 and 210692654.\nAnswer: 210691632.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 6, -1, 3 in decreasing order.\nAnswer: 28, 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -49563894889?\nAnswer: 49563894888.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69, 33, 273, 651, 1167, 1821, 2613?\n\"Answer: 69*v**2 - 105*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 - -1823295383128\nAnswer: 1823295383127.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2620*80507.\nAnswer: 210928340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 9*o + 8 = 0. Sort o, 9, -3, -1 in increasing order.\nAnswer: -3, -1, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1142210 (base 5) to base 15.\nAnswer: -65c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 2*t**2 - t + 7. Let q be o(0). Suppose 5*u - 3*h - 521 = 0, 0 = 4*u - q*u + 2*h + 312. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227546 (base 12) to base 6\nAnswer: -15455330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 10:08 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 29*c**2 + 29*c + 33. Let m be y(30). Suppose 3*b = -g + 271 + 460, -2*g - 725 = -m*b. Calculate the highest common divisor of 54 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -415.2419?\nAnswer: 415.5419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/238*8\/4.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 6*n - 6. Let s be q(-4). Suppose 0*g + s*g - 4 = 0. Suppose -15 = -4*p - 7, 5*p = g*f - 172. What is the highest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -35.323?\nAnswer: 10.5969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*o = -172 - 32, -36 = i - 4*o. Let s = -18 - i. What is the derivative of 20 - 7*j - s + 30 wrt j?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 922254141 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-14 - 2 - 7)) + (4 - 0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 818110455 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/16 and 97\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**4 + 826*w**3\/3 - 8548*w**2\/3 - 320*w = 0. Calculate w.\nAnswer: -1\/9, 0, 16, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/2913 in 5, -2, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)*u)\/u*(u*u**(2\/15)\/u)\/u)**11\/(u**(-1\/8)*(u*u\/u**(-3))\/u**(1\/6)) assuming u is positive.\nAnswer: u**(-8309\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -0.3 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 11*c**7\/105 - c**6\/40 + 22*c**3\/3 - 7*c**2 + 9*c. Find the first derivative of a(q) wrt q.\nAnswer: 88*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 2. Suppose 3*w - 3*a - 3 = -0*w, 3*w + 5*a + 21 = 0. Let i be p(w). Solve i*j = 2*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -5130043?\nAnswer: -5130035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18035391 is divided by 9017692?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -131*a**4 - 32*a**2 + 12423*a - 38121046 wrt a?\nAnswer: -524*a**3 - 64*a + 12423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 2, w: 4, r: 2, t: 1, u: 1}. Give prob of picking 1 r and 1 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3781.3785 - -3782. What is h rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -7.89 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpfpxdpffbfzfxpxpdxp. What is prob of picking 1 x, 1 f, 1 z, and 1 d?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 7*m**2 - 3*m - 3. Calculate d(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*8755\/30940 - 5\/2.\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1521, 1774, 2027?\nAnswer: 2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8))\/((-602)\/(-1376))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-2 - (2 + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5472 divided by -142.\nAnswer: -2736\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuluuauuuulalulauu. Give prob of sequence au.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -4 (c) -3995\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (380\/(-10))\/(946\/(-1419))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*c = 0, -349*m + c + 2 = -345*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*x**2 + 16*x**2 - 3*x**2 - 13*x**3 + (-2*x - 2*x + x)*(3*x**2 - 2*x**2 + x**2).\nAnswer: -19*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 7*q**2 - 8*q. Let l be t(-7). Suppose -23 = -3*r - 2*d, -23 = -4*r + 7*d - 2*d. What is the greatest common factor of r and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61030*r**2 + 61116*r**2 - 122310*r**2.\nAnswer: -164*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = -q, -4*g - 3 = -3*q + 4. Is (q + (-12)\/(-9))*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*u + 243 = 427*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 127 = -5*p, -3*i - 5*p + 163 = -p. Let n = 53 - i. Suppose 2*v - 4*y = 16, -3*v - 1 = 3*y + 2. Solve 3*t + n = -v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416450 divided by 3?\nAnswer: 472150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 9:21 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n = -45*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*v - 316 = -369*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l + 7. Give c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55648 + 55637. Suppose -31 = -3*f + 2*c, -3*c - 2 + 5 = f. Suppose 1 + f = -q. Is b less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48738 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-3))\/((-10)\/6 - -2). Suppose 4*u + 184 = i. Let b = u - -50. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209*d**2 + 94 + 94*d - 48*d - 47*d - 248 wrt d.\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k - 123. Let p be t(16). Suppose -s - 4*n = -6*n - 39, -3*s = p*n - 150. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 2. Let w be 0 + 3*(-2)\/(-2). Suppose w = -5*v - 27. Let a be k(v). Solve -2*i = 6 + a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 3 (c) 0.1 (d) 3\/28 (e) 6 (f) -2.9 (g) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + x - 1 - 1 = 0, 2*t - 4*x = 4. Solve 3*k - 2*v + 5 = 0, -2*k = -t*v + 5*v + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -11 + 2 + (-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:37 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852853?\nAnswer: 277, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3402*z + 1702*z + 1702*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11640, -23516, -35616, -47940, -60488, -73260, -86256?\n\"Answer: -112*w**2 - 11540*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-154)\/4)\/((-9)\/18). Suppose 2*g - 11 = o. Suppose 4*x + 11*b - 13*b = 1938, 4*b = -3*x + 1448. Calculate the greatest common factor of g and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10728 is divided by 145.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 27*y + 16. Let q = 21 - 11. What is the lowest common multiple of k(14) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*x = 3 - 22, 0 = 4*p + 5*x - 16. Let b = -8 + p. Solve 2*k - k = -b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 342, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/12 + 20\/(-24). Let p(r) = 17*r**2 + 3*r + 1. Let z be p(o). Solve 0 = 5*m - 2*m + z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -5*h**4 + h**3\/3 + h**2\/2 + 1. Let k be i(-1). Solve 5*s - 3*o = 20, 4*s - 2*o = -4 + k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -257, -261, -265, -269?\n\"Answer: -4*i - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -48 (b) -2 (c) -2\/7 (d) 1\/16 (e) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5703.306 centuries to decades.\nAnswer: 57033.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*v - 55, -4*p + 3*p - 2*v + 11 = 0. Suppose 4*o + 2*f = 20, 15 = 12*o - 9*o + 3*f. Calculate the remainder when p is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 13*i - 18. What is x(14)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28849.541 rounded to the nearest 100?\nAnswer: 28800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-4)*(0 + 796)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8735?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 141*j**2 - 113*j - 68. What is the units digit of s(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2953215\nAnswer: 1\/590643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 116\/6 - (-2)\/3. Suppose -4*v + 0 = -a - 28, 5*v - f = 5*a. Solve -v*s + 3*s - b + 20 = 0, 0 = -s + 2*b + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130323231001 (base 4) in base 6?\nAnswer: 430321441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3716 is divided by 177.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u + 188 = -2*o, o + 5*u + 68 = 0. Let l be ((-34615)\/322)\/((-1)\/(-2)). Let p = o - l. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 0*f**2 + 0*f + 3*f - f**3 - 1 + 0*f**2. Let r be g(2). Let x = 0.06 + 0.04. Which is the nearest to x? (a) r (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 - 121 - 120 + 458 - 119)*(4*n + 5*n + 2*n).\nAnswer: -308*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y**2 + y + 3. What is c(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19268153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 6 - 9, -4*x = 3*v - 591. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -127, -408, -957, -1864, -3219, -5112, -7633?\n\"Answer: -15*p**3 + p**2 - p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 141, 132, 99, 30, -87, -264?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 4 - 4)*(l - 6 + 6) - 15*l**2 + 5*l**2 - 2*l + 3*l.\nAnswer: -9*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 550 by 54.\nAnswer: 275\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3903.29g in tonnes?\nAnswer: 0.00390329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200301010131 + -121?\nAnswer: -200301010312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -5, 384, -4, -9.\nAnswer: -9, -5, -4, 0, 5, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {a: 4, c: 9, o: 1, q: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:53 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -597, 1022 in descending order.\nAnswer: 1022, -2, -5, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 25. Let d = 13 - u. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -7*n**3\/6 - 13*n**2\/2 - 5*n. What is the derivative of r(j) wrt j?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j = -2*m - 6, 0 = 2*j - 2*m + 2. What is the closest to 1\/2 in -2\/3, j, 53?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - a + 5. Let f(w) = -1. Let i(l) = 5*f(l) + p(l). Let s = 19 + -12. Let m(y) = -3*y**2 + 9*y**2 - 59416*y + 59412*y. What is s*i(z) - 2*m(z)?\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r + 73. Suppose -3*b + 7*k - 4*k + 75 = 0, 0 = -5*k - 20. Calculate n(b).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 0, b - 21 = -2*b - 3*p. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + -41c?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19335996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-39123.882\nAnswer: -19561.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 t when three letters picked without replacement from kttttkkttttt?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 less than or equal to -127488\/563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 9*b + 10. Calculate the smallest common multiple of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 - 3125*c**2 + 137865*c - 1470735 = 0. Calculate c.\nAnswer: -667, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, -1, -2, 7, 32?\n\"Answer: a**3 - 4*a**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**5 + 82331*m**4 + 82334*m**3 - 164664*m**2 = 0.\nAnswer: -2, 0, 1, 82332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 21*v + 6 = 0. Put -3, -206, v in increasing order.\nAnswer: -206, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*w - 230*w = 5*l - 2, -3*l = -5*w - 30 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*g - 1 - g**2 + 1 + 29*g + 2*g**4 to the form k*g**2 + x + i*g**3 + b*g**4 + j*g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9 and 456.\nAnswer: 455.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 107, 31, -81, -235?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 31482012*i - 123889634946018.\nAnswer: -2*(i - 7870503)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a**2 + 0 + 0)*(-3*a**2 + 6*a**2 - 4*a**2) + 3*a**4 + 0*a**4 - 4*a**4 as f*a**4 + o*a**2 + u*a**3 + t*a + l and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 + 547*l**2 - 3*l**3 + l**3 - 548*l**2.\nAnswer: -2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 518840.\nAnswer: 3113040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3\/3 - 7*g**2\/2 - 12*g - 1. Suppose -20 = 4*b + 2*k - 58, -2 = -2*k. What is the units digit of r(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-3)*(24\/9)\/(-2). Let j = -1.24 - 2.76. What is the nearest to 1 in c, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3198469830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3 - 6 + 5*f - 1 + 2. List the prime factors of l(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3644435 is divided by 41.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 + 24538*o + 1182432 = 0. What is o?\nAnswer: -48, 12317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -6. Let c(v) = 7*v - 24. Let j(w) = -13*w + 49. Let n(o) = p*c(o) + 6*j(o). Let k be n(0). What is the highest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let n(f) = -2*f**2 + 4*f + 1. Calculate -3*a(y) - n(y).\nAnswer: 2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 476, 262, 48, -166, -380, -594?\n\"Answer: -214*a + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1\/34873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*g + 9, y - 2 = -3*g + 2*g. Let l be (9\/(-6))\/(y\/2) + 8. Let z(b) = -b + 4. What is z(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 28*r**2 - 34*r - 81. What are the prime factors of m(25)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + 9 = 0. Let l = 15 - p. Sort l, 1, 0 in decreasing order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 80 = n. Suppose 12 = j - a, 60 - n = 5*j + 3*a. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 10 = -4*q + y, -3*q + y = 8. Let u(w) = 45*w**2 - w + 2. Let l be u(q). Suppose 3*m = 7*m - l. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*x - 39, -d = 2*d - 4*x - 15. Let f = d + -18. Let n be (-2)\/3 - 24\/f. Solve o = -3 + n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/(-56) + 92\/14 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(190)*-6)\/(1*(sqrt(810) - (sqrt(810)*-3 + sqrt(810)))).\nAnswer: -20*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/((-32)\/(-6)))\/((-28)\/5038208). Suppose 0 = 41*n - 17*n - f. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, 2\/9, 0.1 in decreasing order.\nAnswer: 4, 2\/9, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 150100849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1288*g - 413*g - 18355 - 46283 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*(sqrt(468) + 0)*1 - ((sqrt(468) + -4*sqrt(468))*-1 + 2)))**2.\nAnswer: 120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**5 + 2955*h**4 - 49*h**2 + 28*h + 2540.\nAnswer: 40*h**3 + 35460*h**2 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ff + 41ede?\nAnswer: 41fdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*y = 4*k - 1858, k - 1873 = -5*y. Is k a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 214, 835, 1868, 3313, 5170, 7439, 10120?\n\"Answer: 206*j**2 + 3*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -16*c**5\/15 - 11*c**4\/24 - c**3\/6 + 28*c**2. Let o be w(-2). List the prime factors of 4 - (3 + (o - -4)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j - z + 8 = 0, -j - 7 = -5*z. Let n be (18\/(j\/1))\/2. Suppose 0 = 3*d + 2*d - 25, m - n*d + 6 = 0. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221949717 is divided by 109281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 24. Let x(b) = -b**2 - 162*b + 4072. What is the lowest common multiple of n and x(-184)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.051*-164.68\nAnswer: 8.39868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1070)\/1605*((-1070)\/1100 - -1*1)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1775 - -1772. Let n = 1 - 0. Which is the nearest to n? (a) 0.1 (b) -1\/11 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 2*i**3\/3 - 19. Let y(h) = -11*h**2. Determine y(v(r)).\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.374 - 14?\nAnswer: -14.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/((5*sqrt(12))\/sqrt(3)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x)**(2\/25)*((x\/(x\/(x\/(x*(x*(x**(2\/5)*x)\/x)\/x))))\/x)**(-7) assuming x is positive.\nAnswer: x**(253\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -91*b**2 - 338*b + 76. Give q(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 8*r**2 - 40*r - 60. Calculate b(-10).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2 + 54*m - 120 = 0. What is m?\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/22)*m**(1\/6))\/((m**(-8)*m)\/m*m**(-9\/2)) assuming m is positive.\nAnswer: m**(827\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n - 40. Let a(k) = 2*k + 19. Let h(p) = 5*a(p) + 3*j(p). Calculate h(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/4 of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*v**4 - 111*v + 111*v + (-v**2 + 2*v**2 + v**2)*(76*v + 30*v**2 - 76*v) in the form b*v**3 + m*v + y*v**4 + t*v**2 + l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 9:35 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 886, 2010, 3662, 5896, 8766, 12326?\nAnswer: 16630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 16532.76 decades?\nAnswer: 165327.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 + 305 = -2*d. Let w = 368 + d. Calculate the remainder when w is divided by (92\/10)\/((-20)\/(-50)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 4:59 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 17 (c) -3 (d) 0.3 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4, -3*u - 1 = h - 2. Let j(g) = g**2 - g. Let x(l) = -2*l**2 - l**2 - 6*l**2 + 7*l**2. What is u*x(s) - j(s)?\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 11*h - 12. Let q be i(12). Suppose q*u - 4*u = -76. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.3975648\nAnswer: -0.15902592","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) - 2\/6. Let c = -318 - -319. Let r be (-1)\/2*-10 + -2 + c. Sort r, -13, a.\nAnswer: -13, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a + 6*a - 23618398 - 6*a.\nAnswer: 21*a - 23618398","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2489 - -2489.08. Let f = 0.2 - -0.3. What is the fourth smallest value in f, -4\/3, 1\/4, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 318, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a factor of 10232428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09 - 19.91. Let d = 16.4 + -1.4. Let x = d + j. Put -2, 1\/11, x in descending order.\nAnswer: 1\/11, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 154*n + 50. Determine b(16).\nAnswer: -1902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-1 + sqrt(684) + -1) - (sqrt(684) + 0 + -4 - (sqrt(684) - (sqrt(684) + 1 + 0)))) + -1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6869915*j**2*l**2 - 921*j**2*u + 7*l**2*u + 4682 wrt l?\nAnswer: 13739830*j**2*l + 14*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*m**2*u**3 + 2*m**2*u**2 - 2*m**2*u - 5280*u wrt u?\nAnswer: -504*m**2*u + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 8) to base 13\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -889 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -11 (b) 0.03 (c) -3\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.1 (b) -343 (c) 411\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 26*z**2 + 49*z + 98. Let d be a(-2). Let q(w) = -120*w - 52. Let g(o) = 7*o + 3. Determine d*g(v) + 6*q(v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485015 is divided by 750?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98645 and 1015226.\nAnswer: 918779530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6271542 (base 9) in base 7?\nAnswer: 40335653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**2 - 4*a**2 - 4*a**2)*(64*a + 39*a**2 + 67*a - 129*a) in the form o*a + q*a**3 + s*a**4 + c + m*a**2 and give s.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707910.4kg in micrograms?\nAnswer: 707910400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2611 - 434?\nAnswer: 21aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 3*i**4\/2 + 12*i - 15. What is the first derivative of w(k) wrt k?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 6 + 2*s + 4)*(0*s**3 + s**3 + s**3) to the form h*s + d*s**3 + b*s**2 + r + q*s**4 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = -3*a + 2*h, -2*h = -5*a + 11. Solve 22 = -4*m - f, -a*m - 3*f + 14 - 35 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -8*s - 13 + 38 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 16*x - 46. Let v be u(-5). Sort -6, v, 4.\nAnswer: v, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111 * 3.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2*f + 32 = 28, 0 = -2*w - 4*f - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 - 14 = 0. What is the third derivative of f*s**2 + 36*s**2 - 10*s**2 - 30*s**3 wrt s?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10676, -10675, -10676, -10679, -10684, -10691, -10700?\n\"Answer: -d**2 + 4*d - 10679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, a: 6, f: 1, e: 4}. What is prob of picking 1 o, 1 e, and 1 a?\nAnswer: 96\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*x = -5*j - 32, -4*j - 28 = -3*x. Let r be j + 6 + 4\/2. Suppose 0 = -3*p + 8 + r. Solve 3*l + 8 + p = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = p - 4*b + 40, 0 = -3*p + b - 1415 + 1404 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802715.\nAnswer: 5, 37, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.98 + 22. Round d to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**5\/4 + 2*i**2 + 2*i. Differentiate d(o) wrt o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -381.6 + 4.\nAnswer: -377.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 132. What is the highest common divisor of m and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 2. Let k(r) = r**2 + 19*r + 6. Let i be k(-19). Suppose -i = 2*o - 2. Give c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12208.825*-3.\nAnswer: -36626.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-5841)\/450 + 26\/2)*4\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.67 + 0.33. Let g = -2 + 0. Which is the nearest to -0.1? (a) l (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -20*x**3 - 11404*x**2 - 58780*x - 11300 = 0.\nAnswer: -565, -5, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j - 1. Let f(n) = -n**2 - 9*n - 13. Let x be f(-7). Determine z(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -16*j - 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 906 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2*v**2 - 24*v + 5. Let t(l) = l. Let d be t(7). Let z be f(d). Solve -z*u + 21 = 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -4*j - 11*k - 10, 2*j + 10 = -5*k. Solve -r + 5*r = j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 17. Suppose -2 = d + l*t, -2*d - d = 5*t - 4. Determine w, given that -w**4 - 3*w**2 + w**4 + d*w**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -35*q**2 + 13*q**2 + 13*q**2 + 10*q**2. Let x(r) = 10*r. What is x(m(s))?\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1293 minus -0.01?\nAnswer: 0.1393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 44) + (-2 - (23 + -9))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.66 + 0.405. Let p = -8 + m. Round p to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32755 divided by 6551.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3842946 centuries to millennia.\nAnswer: 0.03842946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 23 (b) -10 (c) -0.07 (d) -0.017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25207652*o**3 - 11*o - 206244?\nAnswer: 151245912*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29839 and -1.2?\nAnswer: -35806.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 63, 0.03 in decreasing order.\nAnswer: 63, 0.03, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5\/9 + 184*z**4\/3 + 7372*z**3\/3 + 214960*z**2\/9 + 88256*z + 112896 = 0. What is z?\nAnswer: -63, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9412636*o*s**2 - o*s + 252397*o + 7 wrt s.\nAnswer: -18825272*o*s - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**5\/20 + p**4\/6 - p**3\/2 + 30*p**2. Let i(q) = -q**2 - q + 1. Calculate 4*i(x) + w(x).\nAnswer: -x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*sqrt(15)\/sqrt(5) - (4 + (sqrt(3) - sqrt(75))))*-1*-6*5.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l\/(l\/(l\/(l**(-4\/3)*l)*l))))\/l*l*l*l\/(l**(15\/7)\/l)*l)**(-36\/7) assuming l is positive.\nAnswer: l**(-384\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 4*u**2 + 4. Let p be g(4). Suppose 4*b = j - 0*j + 14, 2 = -p*j - 2*b. Are -13 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2997 divide 816726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 392, 1, 39 in descending order.\nAnswer: 392, 39, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 4)\/(10\/5). Let d = 1 + -1. Suppose d*x + i*x - 2 = 0. Solve -1 = -u + x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**5\/20 - h**4\/4 + 4*h**3\/3 + 3*h**2\/2 - 5*h. Let i be ((-5)\/(-4))\/(3\/(-12)). What is the tens digit of q(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 540.4 + -540. What is the third biggest value in -0.5, 0.5, -3, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4*((-135)\/(-12))\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.59 - 0.79. Is n <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 5:59 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138489 and 12709029?\nAnswer: 165217377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 465*g + 4689 - 20195 - 8209 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13790, 14394, 14998, 15602, 16206, 16810?\n\"Answer: 604*f + 13186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (1 + -1 + -1)) + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiibibiiiibb. What is prob of picking 2 i and 1 b?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 131*h - 135*h + 240*h - 1184720. What is the highest common divisor of h and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 7:00 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1851 divided by 617\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/293 and -49\/2.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = 0, 2270 - 305 = 4*w - m. Suppose 495*u - w*u = 13119. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10852 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - z = 2*j - 31, 0 = -2*j - z - 21. Let o(l) = -97*l + 16. Is o(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186 * -549\nAnswer: -102114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 26*f**2 - 2*f + 1. Let x be t(1). Let b(s) = 9*s - 10. Let l be b(6). Let g be l\/8 - 6\/4. Solve -x = o + g*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1236 and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4.3. Let w = 7 + -13. Let y be -1 + (-2 - w - 1). Which is the second biggest value? (a) 2\/7 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 24, -3, 0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5768*l - 3. Let y(f) = -11536*f - 7. Give 7*q(g) - 3*y(g).\nAnswer: -5768*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -17\/12*r**4 + 0*r**2 + 2\/21*r**7 + 0*r**5 + 7*r + 0*r**6 + 0 + 0*r**3. Find the third derivative of k(m) wrt m.\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1*3) + 2. Let y be 7 - (1 - j) - 2. Suppose k + y = -k. Sort k, -4, -2 in increasing order.\nAnswer: -4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 77 + 131 = 4*g - 2*q, -9*g = -10*q + 186 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 472, -2, 3, 62 in decreasing order.\nAnswer: 472, 62, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2 - -7) + (-35)\/7)\/(-2). Suppose b - 4 = -y*b, -8 = x - 5*b. Solve 21 = -5*h - 4, 2*h + x = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**2 + 10*j**2 + j**2 - 26*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.1942 weeks in days?\nAnswer: 813.3594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347800571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7137 = -3*g, -5*a + 6444 + 695 = 3*g. Suppose 16*j - g = 4342. What are the prime factors of j?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23138 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 6*d - 320. Suppose -3*j + 7*j = -2*m + d, 5*j - 110 = 5*m. What is the greatest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 919? (a) 75 (b) -7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -836*u**2 + 585 - 2*u**3 - 3828*u - 2307 + 5*u**4 - u**4 - 3318 - 26*u**3 = 0. Calculate u.\nAnswer: -7, -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004028362 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**5\/7 + 131372*c**4\/7 + 394132*c**3\/7 + 131384*c**2\/7 - 394130*c\/7 - 262756\/7 = 0.\nAnswer: -2, -1, 1, 65689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbbhbbbbqfq.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa2620 + 0?\nAnswer: aa2620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6845*n**3 - 14592*n**3 + 7753*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7 - 3 + 1 - 633*x + 1269*x - 644*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90690, 3, 0, 0.1, -3\/2 in ascending order.\nAnswer: -90690, -3\/2, 0, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.86 - 0.34. Let w = 0.42 - o. Put w, 0.5, -1, -3 in descending order.\nAnswer: 0.5, w, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-1)*m*m)*m*m*m**6*m)\/(m\/(m*m\/m**(2\/9))*m\/m**1) assuming m is positive.\nAnswer: m**(97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:06 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 169a202 + 1b?\nAnswer: 169a221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262970.28 months to centuries.\nAnswer: 219.1419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65626319 divided by 5\nAnswer: -65626319\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1329, 1327, 1325, 1323, 1321?\nAnswer: 1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 172300?\nAnswer: 11\/34460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000041437 to 6 dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98\/(-8)*(-59450)\/20 + 4\/(-32).\nAnswer: 13, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1597, 5594, 12253, 21574, 33557, 48202, 65509?\n\"Answer: 1331*g**2 + 4*g + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7203 is divided by 748?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + z**3 - z**4 + 0*z**2 + 2*z**2 - z**2 + 3*z in the form f + c*z**2 + x*z + h*z**4 + k*z**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by ((-6)\/8 - 39\/12) + 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 2)*((143 + 97 + 1381)*(a**2 - 2*a + 2*a) - 2*a + 2*a - a**2) - 2*a**2 + 4*a**2 + 0*a**2 as b + r*a**2 + n*a and give r.\nAnswer: 4862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189.51 + 190.51. Let x = 4.7 - 0.7. Let s = -4 + x. Which is the nearest to q? (a) 4\/3 (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 19*l. Let u(w) = -8*w**2 - 2*w**2 - 10*w**2 + 7*w**2. Determine s(u(p)).\nAnswer: -247*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51254, 103704, 156144, 208574, 260994?\nAnswer: 313404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -5\/2*r**2 - 5*r**4 - 40 - 25\/3*r**3 + 0*r. Let p(o) = 0. What is o?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aee when three letters picked without replacement from {u: 2, e: 6, a: 2, d: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -244?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*202\/((-1)\/(-1)). Let g = a + -108. Is g bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 66, 128, 178, 210, 218?\n\"Answer: -d**3 + 69*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17588 = 22*b + 13168. List the prime factors of (54\/36)\/((-3)\/b).\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4237 * 1.\nAnswer: 4237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/34*(10\/14)\/(-5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 59*m + 8081. Give s(-136).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 0.1, -0.8, 0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*110\/15. Let a = -9 + i. Differentiate a*n - 3 + 2*n + 4 - n wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -17*a + 2. Let y(k) = -9*k. Determine y(n(u)).\nAnswer: 153*u - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.23 (b) 3 (c) -2\/11 (d) -3 (e) 4 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - 13*y**2 - 14*y + 3. Suppose 120 = -2*w - 8*w. Let m(v) = -v**3 - 12*v**2 - v - 20. Let d be m(w). Is i(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15125 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 36, 19, 2, 0.2, -0.99.\nAnswer: -1, -0.99, 0.2, 2, 19, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -14.5.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 65*y + 334 = -2626 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 94 = -2*t + 102, -5 = t - 4*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 5722*l - 501803. Calculate b(-84).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1960) + (1*sqrt(1960) - sqrt(1960)))\/sqrt(8))**2.\nAnswer: -70*sqrt(5) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23686256 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 - 13778*c**2 - 31377630*c - 23581543950 = 0. What is c?\nAnswer: -2505, -1879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 104486.6 litres in millilitres?\nAnswer: 104486600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(2 + -1)\/(-1). Suppose t = -3*h - 2*g + 3 + 32, 2*g = 3*h - 43. Suppose h + 3 = -4*p. Put -1, 3, p in increasing order.\nAnswer: p, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**3 - 21*y**3 + 2 - 2.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2977110 times 34\nAnswer: 101221740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaxfafxxxfafxx. What is prob of picking 1 f and 2 x?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/60)\/((-15)\/50)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/8 + -21\/8. Let q be ((-1)\/4)\/(3\/(-30)). Suppose -64*o - 44 = -75*o. What is the fourth smallest value in q, -5, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202*c**3*j + 151*c**2*j**2 - 39*c*j + 129*c - 2*j**2 wrt c.\nAnswer: -1212*c*j + 302*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 22, 66, 140, 250, 402, 602, 856?\n\"Answer: o**3 + 6*o**2 - 5*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -195*q**4 - 3540*q**3 - 551*q**2 + 33*q. Let k(g) = -39*g**4 - 708*g**3 - 110*g**2 + 6*g. Let m(t) = 2*h(t) - 11*k(t). Factor m(y).\nAnswer: 3*y**2*(y + 18)*(13*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 13\/182*0. Sort 4, 9, -1, d.\nAnswer: d, -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**6\/240 - r**5\/60 - r**4\/16 + 4*r**2 + 10. Let n(p) = 0. Calculate p.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 4*p + 2. Let m(r) = 7*r**2 + 7*r + 5. Let y(f) = -m(f) + 2*t(f). Let j(k) = 119*k**2 - 85*k + 85. What is -j(v) - 85*y(v)?\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1837 + 4377. Suppose -20*q = -760 - j. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 10*o**2 + 9*o**2 + 2 + 15*o**2.\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2280883797?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-8) - (-765)\/(-100) and (53\/4)\/(40\/16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w + 236 = -169 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 34 = 57*v - 54*v, 5*c = 5*v + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/42)\/(10\/90).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 17598.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a factor of 133179516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**2 + 8*n + 184. What is k(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62155.8972 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 9. Let i be b(10). Let o(u) = -4*u + 29. Let y be o(7). Let f = -1 - -1. What is the nearest to i in y, 0.2, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*z - 5, -6*k + 29 = -k - 2*z. Let b = 12 - k. Suppose 0 = -b*a, 2*f + 4*a - 168 = -f. What is the greatest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 3*t**2 - 4. Determine v(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/136 and -35\/32?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*b**2 - 180*b - 108.\nAnswer: 3*(b - 6)*(11*b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, a: 1, n: 1, m: 1, g: 2, k: 1}. What is prob of sequence kgnm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*sqrt(98) - sqrt(2)).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12622072*o**3*v - o**2*v - 2*o**2 - 205544*o*v wrt o?\nAnswer: 75732432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 r when three letters picked without replacement from {r: 8, d: 1, j: 10}.\nAnswer: 280\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 179153207 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/180)\/(100\/(-625)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f + 8, -8*i + 4*i - 2 + 9 = -3*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 15) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 54838*q + 438832.\nAnswer: -2*(q - 8)*(q + 27427)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/17512 and -27\/147260.\nAnswer: 3239720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*j**2 + 208804*j - 15720362.\nAnswer: -20*j + 208804","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 58 = 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 31. Suppose 5*b + j*b = 15. Solve b*q - 4 = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 6:06 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 16019590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**2 - 7526572*h + 15053128 = 0.\nAnswer: 2, 1881641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 4697398*d\/5 + 4697403.\nAnswer: -(d - 4697403)*(d + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 730 = 3*l. Suppose -2*j - 16 = -6*j. Suppose -t + j*m + l = t, 314 = 4*t + 3*m. Calculate the greatest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5563.81685 rounded to the nearest 10?\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 27*y + 3. Let j be o(27). Solve j*w + 11 = -4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6838 - 2845*p + 2842*p - 6838.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -28. Let o = -5 - b. Suppose 4*v + o = 43. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 62*z**2 + 267*z + 24. Give r(-66).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 1 s when three letters picked without replacement from {d: 1, a: 2, e: 1, s: 1, l: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15225 and 725?\nAnswer: 15225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34436.9263 - -113711.\nAnswer: 79274.0737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3322\/9 or -5\/11?\nAnswer: 3322\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -89. Let j = -59 + k. Calculate the common denominator of j and -26\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1500.7 + 1501. What is the fourth smallest value in 3\/19, -1, u, -0.8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/80 and (5\/(-75))\/(2*3\/(-885))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4, -0.1, -80, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)*d*d**14 assuming d is positive.\nAnswer: d**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179699 or 179684?\nAnswer: 179699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0.9, 17\/6, 360, -1\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (590\/(-2596))\/((-10)\/(-24))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891628960 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 3*l - 1059*l**3 + 1227*l**3 + (3 - 2 - 2)*(2*l**3 + 2*l - 2*l).\nAnswer: 166*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b + 266. Suppose -131 = -12*j + 17*j - i, -5*j + 2*i - 132 = 0. Give s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -131?\nAnswer: -49\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -15970 < -15971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9201994.5 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12403676 by -4.\nAnswer: -3100919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26071883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 59, 4, 3, -25, -3.\nAnswer: -25, -3, 1, 3, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k**3 + 2495*k**2 - 1 - 2495*k**2 + 6*k**3.\nAnswer: 61*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5387\/213 - -3\/71. Let j = 26 - h. Is 2 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 45*u**2 + 10*u - 5. What is the units digit of j(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003606069352 to 6 decimal places.\nAnswer: 0.003606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -71*h**2. Let k(n) = -395663*n - 1. Give k(s(l)).\nAnswer: 28092073*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -145*-25\nAnswer: 3625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 56*r = -61*r + 151, 0 = 5*m - 4*r - 264. Suppose -3*g - 5*s + 38 = -0*s, 3*s - 47 = -4*g. Calculate the remainder when m is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 take away 320.286?\nAnswer: 136.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054949571 to the power of 1\/2, to the nearest integer?\nAnswer: 32480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551 + 21 = 4*u. Suppose -5*w - 6*w + u = 0. Suppose -w = n - 16. Let i(y) = y**2 - 2*y + 1. Determine i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -49, -9 in descending order.\nAnswer: 1, -1, -9, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -67. Let k = b - -22. Suppose 17 = h + k*v, 0 = -h - 3*h - 4*v + 28. Solve y = -z - y + 12, h*y = 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322220611 to the nearest integer?\nAnswer: 17951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - -2*(-1 - 1). Let i be (-3)\/(-2)*(-22)\/231. Which is the third biggest value? (a) x (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -150, -214, -288, -372, -466, -570?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50\/3 + -16. Put g, -1, -1\/4, -0.2 in descending order.\nAnswer: g, -0.2, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**2 + 0*g + 0 - 1\/6*g**3 - 1\/24*g**4. List the prime factors of v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*l - 267*l - 864*l as u + w*l and give w.\nAnswer: -985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 3248113167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.471909 * 13.6.\nAnswer: -6.4179624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*2\/6*166\/(-830).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -30\/12197 and 271.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*f - 5)*(f + f + f + f**2).\nAnswer: -2*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2169 - -0.4\nAnswer: 0.1831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -j - 5*l, -5*l + 13 = -4*j + 35 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/3))\/(c**(-3)\/c)*(c\/((c\/(c\/(c**4\/c)))\/c))\/(c*c*c*(c*c\/(c*c**(-2)*c*c*c)*c)\/c))**(-47))**43 assuming c is positive.\nAnswer: c**(-8084\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = 2*i, -w + 0 = -5*i - 2. Let j(a) = 0*a + i + 5 - 4*a + 3*a. Determine j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 91\/10?\nAnswer: 91\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 3.9618966403048.\nAnswer: 5.9618966403048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8 = -l + 3*l, -5*l = 3*q + 12. Suppose -4 = -t - l. Let i be (t\/4)\/(2\/4). Solve 0 = 4*a + i*p - 24, 2*p - 2 = p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 326 and 489?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/2, 6077, -4 in decreasing order.\nAnswer: 6077, 2, 3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 43623.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 6, -4*k - 31599988 = 5*g. What is g rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*y + 85*y + 138 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*11\/(-21))\/((-2)\/12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*sqrt(78)*3)\/sqrt(6).\nAnswer: 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/7 (c) 5 (d) -1\/16 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*a = 37*a + m + 5, 5*a + 2*m = 34. What is the least common multiple of -1 + 2 + 0 - -3 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*i - 1. Suppose -i = 2*u - 3*u. Suppose -87 = 2*w - 5*w - u*d, -21 = -w + d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*x**2 + 239*x - 3108?\nAnswer: -8*x + 239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3665*p**3 + p - 266*p**2 - 1228*p**2 + 359*p**2 - 912*p**3 wrt p?\nAnswer: 16518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 48724 = 5*r, 5*w - 69*r - 243540 = -64*r. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (1 - 2 - -1). Let y = 0.27853 - -0.02147. What is the nearest to -1 in z, 1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*u, -u - 4*u = 5*d + 45. What is the smallest value in -2, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/5 - 72*h**2 + 1468*h\/5 + 4368\/5 = 0.\nAnswer: -364, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5623*q + 20253 + 145497 = -1847*q - 49482 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -1, -9, 0.1, -0.4.\nAnswer: -9, -1, -0.4, 0.1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-36 - 34) + 34?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52497035 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11279.8 + -11280. Which is the nearest to i? (a) 1 (b) -2 (c) 2\/9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 63*m**2 + 1668*m + 661. Calculate u(-83).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -793*i**3*y - 9758*i**3 + 6*y**2 with respect to y.\nAnswer: -793*i**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 10*b - 10. Let l be w(4). What is the closest to 0.1 in 0.3, 2, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 3. Let d be p(-2). Let m be 8\/10*(-5)\/(-6). Is d at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179030 + -179030.1. Let c = -1440\/627437 - 12820476187\/4392059. Let r = c - -2919. Which is smaller: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 957260460 by 8324004.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 235*z**5 + 1718*z + 1492. Differentiate s(x) wrt x.\nAnswer: 4700*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6*o + 20. Suppose o*s = 8*s - 8. Suppose -p = -2*x - 53, -p - 2*p + 151 = -s*x. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.8 (b) -0.3 (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -30 (b) -60.6 (c) 1\/7 (d) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-12) + 2\/(-8). Suppose -7*o = -31 - 53. Suppose x*y + o - 66 = 0. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.26 - -25.26. Which is the nearest to k? (a) 5\/2 (b) 4\/21 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -8\/15*b**6 + 0*b**2 + 3\/20*b**5 + 0*b**3 - 131\/12*b**4 + 1 - 64*b. What is the third derivative of g(k) wrt k?\nAnswer: -384*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p. Let s(k) be the third derivative of -k**4\/6 + 165*k**2. Calculate x(s(w)).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 2*t**2 - 3*t + 2. Let a be i(-3). Let o be 3 - (0 + a\/2). Calculate the remainder when 47\/7 - o\/(-7) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15578\/231 - -1420\/21. Sort 2\/13, 16, 0.3, v, 2\/227 in ascending order.\nAnswer: 2\/227, 2\/13, v, 0.3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1635034 and 642500?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:13 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131426657, -131426659, -131426661, -131426663, -131426665, -131426667?\nAnswer: -131426669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2005\/6 - 335. Is l not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 31*j**3 + 18*j**2. Let g(w) = 16*w**3 + 9*w**2. Let o(m) = 3*d(m) - 7*g(m). What is the third derivative of o(l) wrt l?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5475591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 743194 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423 (base 5) in base 7?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 441 = 21. Calculate the greatest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 14. Let w(t) = t + 5. Let j be (-2)\/(-4)*(-14 + 6). Let l be 2*(-2)\/j + -2 + 12. What is l*w(g) + 4*s(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**7\/280 - j**6\/120 + j**5\/40 + j**4\/8 + j**3\/6 - 6*j. Let v(r) be the second derivative of g(r). Solve v(s) = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0051392 to four dps.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**2)**(-1\/58)\/(o**(-4\/3)\/o*o\/((o\/o**(-4))\/o)) assuming o is positive.\nAnswer: o**(931\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -931d (base 14) to base 6\nAnswer: -313103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194859473 rounded to five dps?\nAnswer: -0.19486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t - 16*t + 11*t - 13*t + 1131.\nAnswer: 2*t + 1131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5\/7 + 407930*w**4\/7 + 20786782844*w**3\/7 - 205089587116*w**2 + 30781516161794*w\/7 - 192558978283078\/7 = 0.\nAnswer: -102017, 11, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -146 + -22352?\nAnswer: -22531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 3:16 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbuxxbpubbbx. Give prob of sequence xp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -254 - -253.99726. Round c to 4 dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -9*u. Let y(d) be the third derivative of d**5\/120 - 17*d**3\/6 - 19*d**2. Let s(g) be the first derivative of y(g). Determine s(o(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 20*p**6\/3 + 295*p**4\/12 + 180*p. What is the third derivative of v(f) wrt f?\nAnswer: 4800*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2)\/(8\/(-6))*(-3186)\/708\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 5 + sqrt(32))*-5 - sqrt(14)\/(sqrt(7) + sqrt(14)\/sqrt(2)*4))**2.\nAnswer: 1260*sqrt(2) + 47377\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 18, r: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3 + 133062*g**2*j**2 - g**2 + 2*j**2 + 134112 wrt g.\nAnswer: -6*g**2 + 266124*g*j**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6\/31 (b) 0.112 (c) 3 (d) 2\/3 (e) 624\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (3\/2)\/(111\/1036)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -19 - (-64 + 85).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2325 and 7443720?\nAnswer: 37218600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 78*w - 140. Calculate g(76).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -5, -2, 9 in increasing order.\nAnswer: -5, -2, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3678, 7352, 11024, 14694?\n\"Answer: -l**2 + 3677*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 19*z + 40. Calculate the remainder when v(18) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545280 a multiple of 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 3*t**2. Let x be 1\/(-4)*(-15 + 3). Let p(n) = -3 - x + 5*n + 4. Let y be p(1). Give d(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -7, -24, -2, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 9062\/15, 3, 1\/7 in ascending order.\nAnswer: -1\/9, 1\/7, 3, 9062\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2134, 2135, 2138, 2143, 2150, 2159?\n\"Answer: q**2 - 2*q + 2135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/87 and -55\/42.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -151366 and -16?\nAnswer: 2421856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 6. Let p(d) = 4 - 2 + 0*d - d - 3. Let o = -4 + 3. What is o*u(w) - 4*p(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 855*h = 861*h - 215, 3*u = -3*h + 132. What is the remainder when 1125 is divided by u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x. Let m be i(6). Let p = m - -17. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 657 - 657. Solve 9*i - 5*i - 20 = m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11236 + -179733\/16. Find the common denominator of 85\/766 and q.\nAnswer: 6128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, -13, -80678?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 395 + -202. Calculate the remainder when 5 + (h - -4) + 5 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3748123.\nAnswer: 3748123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/3 + (-1 - 4\/(-3)). Is 2269\/(-2)*(w + 0 - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 1\/5, 31, 37, 0, 9 in decreasing order.\nAnswer: 37, 31, 9, 0.22, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2 + 2. Let f be (v\/2)\/(2\/12). What is the remainder when 48*f*3\/(-18) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272\/80 + (-10)\/(10\/3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 16*u**3 - 4*u**4 - 13*u**3 - 9*u**4)*(3*u - 2*u - 3*u).\nAnswer: 26*u**5 - 6*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -188, 4, -4, -25 in ascending order.\nAnswer: -188, -25, -10, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 16\/3*o**3 - 1\/360*o**6 + 0 + 1\/4*o**4 + 1\/15*o**5 + 0*o + 18*o**2. Let a(f) be the first derivative of y(f). Give a(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 314\/240047 or 0?\nAnswer: 314\/240047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*s**3 - 1948*s**2 - 40*s + 7792 = 0. What is s?\nAnswer: -2, 2, 974\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 154471 times -459\nAnswer: -70902189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 + 54.5355?\nAnswer: -154.4645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (-1 - 2) + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**3 - s**3 + s**3)*(2 - 99 + s - 24 + (2*s - 2*s - s)*(2 - 3 + 0) + 91*s - 363 + 363) as u*s + h*s**2 + m + k*s**4 + a*s**3 and give k.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((5\/(-20))\/((-3)\/4))\/50. Let n(u) be the third derivative of 0*u - 2\/15*u**3 + 0 - 1\/60*u**4 + g*u**5 + 3*u**2. Let n(a) = 0. What is a?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2043 is divided by 427?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2 - 14 - 3*a + 11 - 14. Let w = -39 + 28. What is v(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29020.1702 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from kwbwwkyw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859847 is divided by 214949?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-255)\/(-33))\/17*(-6)\/3\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*b*c**2*o + 2*b*c**2 + 2*b*c*o - 275*c**2*o + c**2 - 4*c*o wrt b?\nAnswer: 54*c**2*o + 2*c**2 + 2*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/12 - s**3\/6 - 6*s**2 + 7*s. Give h(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 342*x**3 + 228*x**2 - 228*x. Let k(s) = s**3 + s**2 - s. What is 3*h(l) - 684*k(l)?\nAnswer: 342*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-80) + (-94)\/10. Let a be 4 - (-9)\/(c\/2). Factor -10*x**3 + 0*x + 0*x**2 + 11*x**3 - 6*x - x**a.\nAnswer: x*(x - 3)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**3\/y*y)**(5\/2)*(y*y*(y*y*y**16)\/y)\/y**(-1\/15) assuming y is positive.\nAnswer: y**(436\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47870 and 23935?\nAnswer: 47870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/((-3)\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 7. Let v(i) = 4*i - 22. Let d(h) = -7*m(h) - 2*v(h). Let f(g) = g + 3. What is 4*d(l) + 7*f(l)?\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*s + 30, 3*s = -0 + 3. Suppose i*w + 15 = -2*q + 5*q, -12 = 3*q + 4*w. Suppose -234*f + 555 = -49*f. Solve m - f + 6 = q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 + 99 + 156 - 143)*(b**3 - b**3 + b**3 + 3*b**3 + 2*b**3 - 4*b**3 + (-2*b**2 + 2*b**2 + 2*b**2)*(0 - 2*b + 0)).\nAnswer: -486*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -391 + 300 - (31 + -85)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -78. Suppose 3*k - 266 = -x*r, -3*k - 2*r + 180 = -k. List the prime factors of k.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.14 - -22.16. Let q = -26.4 + o. What is the nearest to 1\/2 in 3\/2, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235467650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 + -132. Let k be (-8)\/u + (-42)\/49. What is the smallest value in 6.2, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229 + 386. Suppose -160 = s + s. Let g = i + s. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 173 = 62 - 55 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72.15332 + 0.15332. What is the second biggest value in 0.3, z, -2, -5\/3, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -70663012\nAnswer: 70663007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*-2*(-15)\/18. Let c = 2 - o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -25*j**3\/3 + 17*j**2 - 27*j - 2. Let a = 26 + -30. What are the prime factors of z(a)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 516 + -5?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 5*a + 4. Let z = 4 + 0. Suppose -z*s - 2*p + 32 = 0, -5*s - p + 25 = -2*s. Suppose -2*c - c = s. What is u(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 239*d**4\/4 + 2*d**2 + 2*d + 126. Find the second derivative of o(r) wrt r.\nAnswer: 1434*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + 3)\/((-13)\/(-13)). Let o be 36\/f + -4 + -1. Let j be -3*1\/21*-1. Is j bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6853472495?\nAnswer: 5, 23, 617, 96589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-12)\/((-18)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 791*b*s*x**3 - 4*b*s - 4*b + 253*s*x**3 - 1989*x**3 wrt b.\nAnswer: 791*s*x**3 - 4*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -26*u**3 - 6*u**2 + 139*u - 143. Determine m(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4 + 61*n**2 - 4*n wrt n?\nAnswer: -12*n**2 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -55. Let f(h) = h**2 - 11*h + 32. What is the remainder when 63 is divided by f(b)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 7*m**2 - 7*m - 3. Let k be a(8). Suppose 0 = f + k*f. Find h, given that 2*h - 5*h**2 - 3*h**2 + 3*h**2 + f*h**2 + 4*h**3 - h**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - -264?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 257 (b) 2 (c) 1.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - 2*h + 5. Suppose 2*o = -8*o - 40. Let k(n) = 8*n**2 - 5*n + 10. Let x(p) = o*k(p) + 10*l(p). Differentiate x(y) wrt y.\nAnswer: 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 26 = 5*f, 2*x = 6*x - 2*f + 20. Let q = -11 - x. Let s = q + 13. What is the greatest common factor of s and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 61*k - 1. Let f(c) = 2*c**2. Determine f(b(j)).\nAnswer: 7442*j**2 - 244*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 111*a + 110*a + 104*a - 12350 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8054749.11 to the nearest 100.\nAnswer: -8054700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + (16 - 18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 14*f - 12*f + 8, 4*f = -5*w - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 731, 1465, 2209, 2963, 3727, 4501, 5285?\n\"Answer: 5*z**2 + 719*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2*0)\/(108 - 110)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.055 * -128.98.\nAnswer: -7.0939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 2*u**3 + 19 - 4*u - 15 in the form t*u + d*u**2 + k*u**3 + b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = -1525. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*b - 652*b + 14*b = 3087 for b.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -10.5. Let j(o) = o**2 - 215*o + 3366. Let d be j(17). Let n = 0.03 - 3.03. Put d, b, n in increasing order.\nAnswer: n, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, s: 4, z: 5, e: 2}. Give prob of sequence eey.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -3*n + 57, -5*n + 379 = 3*z + 314 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1431113340?\nAnswer: 1431113331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42987578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17*f + 37. Suppose -28 = -4*m - 3*n, -2*n = 5*m - 19 - 16. Is 12 a factor of o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807725?\nAnswer: 5, 32309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108141 + 0.\nAnswer: -108141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 461, 1966, 4489, 8036, 12613, 18226, 24881, 32584?\n\"Answer: k**3 + 503*k**2 - 11*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46256 is divided by 857.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - 35?\nAnswer: -35.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/1078 and -2 + (5003\/2156 - 3\/33)?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 64*b**3\/5 + 62816*b**2\/5 - 601084*b\/5 + 1431004\/5 = 0?\nAnswer: -991, 19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from {g: 6, z: 8, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**3 - 3*i**2 + 2*i + 1. Let v be x(2). Let j = -45 - v. Suppose 0 = r + j*r - 210. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 9, 47 in descending order.\nAnswer: 47, 9, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12676083 + 24*s**2 + 12676083 - 22*s + 6*s.\nAnswer: 24*s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 193619657?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 6, l: 13}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 3*b - 34 = 2*i - 193, -b - 69 = -29*i + 9*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -20*o + 1. What are the prime factors of z(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -362, -363, -374, -401, -450, -527, -638, -789?\n\"Answer: -j**3 + j**2 + 3*j - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 10897129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((7 - 9 - 4) + 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10794 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let p(f) = -70237302*f. Calculate p(j(d)).\nAnswer: 70237302*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12.1 and 35741?\nAnswer: 35753.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 5:57 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-15) + 1*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16426*a - 588 = 16398*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -1. Let w(b) = -2*b - 4. Let j(d) = 5*d - 8 + 4 + 13. Let l(r) = -r**3 - 7*r**2 - 6*r - 4. Let y be l(-6). Determine s*w(p) + y*j(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9556, 1, -4, 67 in ascending order.\nAnswer: -4, 1, 67, 9556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 26*a**3 - 66*a**2 + 181*a - 171. Let y(v) = 7*v**3 - 17*v**2 + 45*v - 43. Let s(c) = 4*g(c) - 15*y(c). Let s(k) = 0. What is k?\nAnswer: -13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*d - 0 + 20, -4*d - l = 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j - 20. Let z(f) = 7*f - 19. Determine -4*s(m) + 5*z(m).\nAnswer: 7*m - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3))\/(l\/(l\/(l**(-2\/5)\/l))))\/(l*l**(-6)*l*l\/((l**(-7)\/l)\/l)) assuming l is positive.\nAnswer: l**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.6 + 11.3. Let s = 3.6 - p. What is the closest to s in -4\/5, -0.17, 0.2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-400)\/240)\/((-5)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2 + 92336*m - 128700.\nAnswer: -2*m + 92336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 388309 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-3)*(-9)\/(-3). Let q be 2\/(-3) - n\/(-6). Is q\/(-5) + (-168)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**5\/20 + 2*l**4\/3 - 5*l**3\/3 - l**2 + 88*l. Calculate c(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*j**2 - j**4 + 64*j - 19*j**2 - 64*j - 32*j**3 = 0. What is j?\nAnswer: -34, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/45 and -23\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 5 = 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 190*w - 8. Let z be b(4). Suppose 4*r - z = -4*r. Let s = r + -61. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119.05 - -119. Let h = o - 0.25. What is the nearest to -2 in h, 1, 3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2963085.89 and 0.4.\nAnswer: 2963086.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -126, -134, -142, -150?\n\"Answer: -8*g - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, d: 6, g: 4}. Give prob of sequence dmg.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 78*b**3 + 2*b**2 - 14*b + 90. Determine p(3).\nAnswer: 2172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 824 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l = -3. Suppose -4*v + 1 = 3*k - 7, -l = -k - v. Suppose 0*i - i = -k*z + 12, -12 = -4*i + z. Solve 0 = i*f + h - 8, -5*h - 16 = -h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/19 + 30*z**3\/19 - 136*z**2\/19 + 168*z\/19 = 0.\nAnswer: 0, 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 204414442?\nAnswer: -204414443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 times 0.45\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 2571311*f - 2571312.\nAnswer: (f - 2571312)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and 5703089?\nAnswer: 131171047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 596\/(1*2)*(-10)\/(-20). Let y = 221 - f. Is -1 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (932 - 948) + 1 + 47.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 178288 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5084762923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*p - 10, -2*g = -p - 0*g - 6. Let s be (p\/(-3))\/(1\/(-6)). Solve j + s*u = 3*u + 5, -3*j + 2*u + 15 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + -2. Let l = -9 - n. Suppose -o + 2*d = -2 - l, 5*o - 5*d - 35 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2202124931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 331*p + 1485*p + 13 - 13 + 2 - 2 + 2*p - 4*p + 3*p + 2*p + (-4*p + 0*p + 2*p)*(2 - 1 + 1).\nAnswer: 1815*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -186662\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 157363 divided by 132\nAnswer: 157363\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + j - 18, 5*q + 4*j + 62 = 15 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60806, 60529, 60068, 59423, 58594, 57581?\n\"Answer: -92*b**2 - b + 60899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/25 of a microsecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1775\/7 + 253. Let m be (-2 - (-44)\/24)*-3. What is the nearest to 5 in 2\/9, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 2}. Give prob of picking 2 t and 1 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -23. Let x = n + -14. What are the prime factors of (-14)\/x + 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -37*s**2 + 861*s + 457. Determine a(21).\nAnswer: 2221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6398, -12320, -18242, -24164, -30086, -36008?\n\"Answer: -5922*v - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 272\/3 + -3443\/39. Let m = c - -261\/65. Suppose m*u**3 + 22\/5*u**2 + 14\/5*u**4 + 0 + 4\/5*u = 0. What is u?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m + 86. Let w be r(-15). Which is smaller: -48\/19 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1106\/11 or -102?\nAnswer: -1106\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-750)\/700*(-63)\/(-60)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v**3 - v**2 + v + 1. Let p = 211 - 256. Let i(m) = m**3 + 47*m**2 + 90*m - 1. Let n be i(p). Give d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 594 and 1854?\nAnswer: 61182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = 2*l. Let a = -1 - l. Let o be 2\/a*7 + 3. Put -0.2, -2\/5, o in ascending order.\nAnswer: -2\/5, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -17. Sort 3, n, -2 in ascending order.\nAnswer: -2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330 - 90 = -84*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.48626 months in millennia?\nAnswer: 0.016873855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4826, 25441, 59806, 107927, 169810, 245461?\n\"Answer: t**3 + 6869*t**2 + t - 2045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -47, -101, -177, -275, -395, -537?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -100e43e?\nAnswer: 100e43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -336*h**4 - 37*h + 3?\nAnswer: -4032*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -549119034 - 0.03?\nAnswer: -549119034.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 19874*m - 98743969.\nAnswer: -(m + 9937)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -36*o - 112. Is 14 a factor of h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f**2 - 2*f + 3. Give m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*l - 966*l + 307*l + 267*l**3 + 329*l.\nAnswer: 267*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -17 (b) 2\/3 (c) 0.6 (d) 5 (e) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1200, 2444, 3686, 4926?\n\"Answer: -i**2 + 1247*i - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 143, 133, 121, 107?\n\"Answer: -u**2 - 7*u + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 79, 111, 191, 337?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4, 2*o - 10 = -m + 7. Let i = m + -11. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 50*p - 150. Let c be v(4). Suppose 38*o + 63132 = c*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = y, -2*n - 5*y = -246. Let f = n + -96. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1024)\/768*39\/(-13)*(-1)\/(-88)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, n: 5}. What is prob of picking 1 x and 1 n?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, -14, -36, -58?\n\"Answer: -22*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 3.1. Let s = 0.9 - 1. What is the closest to -1 in y, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 - 26*m**4 + 336*m**3 - 1232*m**2 + 1888*m - 1056 = 0 for m.\nAnswer: -22, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -168.7, -2.163 in decreasing order.\nAnswer: -1\/3, -2.163, -168.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 8527, 181, -1 in increasing order.\nAnswer: -1, 7, 181, 8527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 103) + (-663 - -731).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:48 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 651187\/20 - 156298\/5. Let f = x - 1312. Calculate the common denominator of f and 76*2*6\/320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 3) + -112 + 78\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 14526.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -22 + 4. Suppose -3*a + z*w = -10, a + 4*w + 11 = 5. Put 0, 5, a, 1 in decreasing order.\nAnswer: 5, a, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.0894, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 63 + 5 = 0. Differentiate -s + 145 - 1396*b**4 + 1354*b**4 wrt b.\nAnswer: -168*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241 (base 5) to base 8.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a1 - -1?\nAnswer: 5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*19)\/((1 - 7)\/18). Let b = a - -57. Suppose -5*x + b + 20 = 0. Solve -x*z = -4 - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -131 + 46*x + 64 + 67 as s*x + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + t**2 + 7*t + 1. Let a be b(3). Is 2\/2 + 0 + (a - -782) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103938.1 months in millennia?\nAnswer: 175.328175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 11*y**2 + 14*y - 14. Determine w(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31910 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12350 + 1912. What is u rounded to the nearest one hundred?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 24. Let j be (-3)\/c*-1*9. Let b be (-1 + 1)*(-1)\/(-2). Solve 2*y + 0*s = 5*s - 6, b = -j*y + 3*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.157589 - -0.158. Round j to 5 dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - c**2 - 3*c - 1. Let o be h(-2). Suppose -4*z - o - 5 = -2*l, -15 = -5*l. Suppose -3 = b, 4*s + 2*b - 4*b = -10. Are z and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 2 w when four letters picked without replacement from {u: 4, s: 4, v: 1, b: 1, g: 7, w: 3}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-405)*140790\/(-1976)\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1 + 2181*a + 2185*a - 6554*a + 2187*a. Let b(l) = 1. Let z(d) = d - 5. Let i(f) = 6*b(f) + z(f). Let t(o) = -2*i(o) - 3*s(o). Give t(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*i**5 - 5*i**4 + 5*i**4 + (2 + 0 - 3 + i)*(-2*i + 2*i - 3*i**4).\nAnswer: 4*i**5 + 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + v + 3. Let x be b(0). Let q be (-4 - (-13 - -8)) + (-2)\/(-2) + 2. Solve 4*g - 2 = -2*p - q, x*g - 2*p = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 - -1 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39659623 and 2006.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, p: 1, q: 1, b: 2, o: 2, i: 2}. Give prob of sequence bu.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149*h + 82*h - 112*h)*(-h - 3*h + 8*h).\nAnswer: -716*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13656677221 - 0.08\nAnswer: -13656677221.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 23*x - 12. Suppose 2*b + 47 = 5*f, -15 - 12 = 2*b - f. Give y(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 3*w**2 - w**2. Let a(j) be the third derivative of -j**4\/24 - 13*j**2. What is b(a(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -0.73681538209\nAnswer: -0.53681538209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13)\/(a\/a**(-1)) assuming a is positive.\nAnswer: a**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*c - 53*c + 1121 = 114*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**3\/3 - 7*i**2\/2 - 12*i + 58. Give r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -0.8. Which is the closest to 1? (a) -2\/5 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135680*l**5 - 4*l**3 - 1138264*l**2 wrt l?\nAnswer: 8140800*l**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.3 or 3472.39?\nAnswer: 3472.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 395 - 421 = 23*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyryyppppr. What is prob of picking 1 p and 1 r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - z - 8*z**3 - 11*z**3.\nAnswer: -19*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**5 + 156724*i**4 - 1096941*i**3 + 2703076*i**2 - 2742205*i + 979350 = 0.\nAnswer: 1, 5\/2, 39174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -118 * 6634\nAnswer: -782812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.146 from 0.1.\nAnswer: 0.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417, 1730, 3919, 6984, 10925, 15742, 21435?\nAnswer: 28004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 732920573 divided by -2167\nAnswer: -338219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*j + 6 - 1, -5*j - 2*z + 17 = 0. Solve -169*d + 117*d**2 - 47*d + 178 - 88 - 90 - 6*d**j - 3*d**4 = 0.\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8946 + -8940. What is the closest to 0 in -18, -4\/7, g, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 528*h**3 + 2*h**2 - 544*h - 117260955.\nAnswer: 1584*h**2 + 4*h - 544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**4\/36 + 5*m**3\/18 - 15*m + 10. Let l(d) be the first derivative of a(d). Factor l(f).\nAnswer: -f*(f - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 837\/(-171) + (-1 - -6). Suppose 4*g + 8 = 2*g. Put g, s, -6 in descending order.\nAnswer: s, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = f + 1. What is the remainder when 71 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 24 = -4*h, -48*j + 50*j - 2*h = -12. Sort j, -2, -9.\nAnswer: -9, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 26*f**2 - 472*f + 1656. Let m(a) = 2*a**2 - a + 1. Let z(u) = 3*i(u) + 24*m(u). Suppose z(l) = 0. Calculate l.\nAnswer: 8, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-75)\/(-20) - 3) + (-39)\/(-12). Solve 5*b + 7*f = 3*f + 17, -22 = -d*b + f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 44*x - 9. Let l(s) be the first derivative of -s**3\/3 + 11*s**2 + 5*s + 871. Give -5*l(r) - 3*w(r).\nAnswer: 2*r**2 + 22*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 4*y**2 - 4*y**2 + (3*y + y - 2*y)*(-1 + 1 - 2*y))*(-y**2 + 4 - 4).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -110122?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/9)\/((-13)\/(-117)) - 3\/(-1). Which is smaller: x or 4\/3237?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 169\/3*d**3 + 0*d**5 - 8*d**4 + 1\/2*d**6 + 0*d - 156 + 0*d**2. Find the third derivative of b(n) wrt n.\nAnswer: 180*n**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3209 is divided by 146?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (8 - (16 + -6 + 9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**6\/60 + 2*n**5\/15 - n**4\/3 - 15*n**2. Find y, given that p(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6) + (-33)\/(-18). Suppose 0 = 4*r, -3*l + o*r + 2*r = -18. What is the remainder when 17 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1634 - 3?\nAnswer: -1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10303 (base 4) to base 10.\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -69. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k - 2*k)*(4 - 2 + 0)*(8 + 0 + 0) + (2*k + 3 - 3 + 3*k - 4*k + 4*k - k - 3*k + 2*k + (4 - 3 - 3)*(k - 1 + 1))*(6 - 2 - 1).\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27087 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - 3.7. Let v = 10 + k. Let i = v + -6. Is 2\/11 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 51. Let t be 0 + 3\/(-1) + 3. Suppose -4*v - 4 = 0, 4*i + t*i = 2*v + 74. Calculate the highest common factor of p and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -165*t**2 + 83*t**2 - t**3 + 2 + 79*t**2 - 6*t. Let q be p(-3). Suppose 5*v - 3*x = 306, 4*x + 288 = 5*v - q. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/20 - s**4\/24 + s**3\/6 + s**2. Let l be d(1). Suppose -l*o = -29 - 37. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k - 31. Let b be o(-9). Suppose 12*c + 7 = -b. What is the tens digit of -1 + c - 7\/((-42)\/396)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 19 - 29 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, d: 3}. What is prob of sequence dh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208495008?\nAnswer: 2, 7, 41, 181, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1570*b - 3734 = -375*b - 27634 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 20 = 7*m - 5*m, 2*m - 2*j - 4 = 0. What is the second derivative of 120*r**2 - 1 + 153*r + 1 - m*r**2 wrt r?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19\/2)\/(w*w**(10\/9)))**(-49) assuming w is positive.\nAnswer: w**(10241\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from qqaqqqrqfofqfa?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/4 + -3)\/(28\/5880). Let p = 323 - 215. Which is greater: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 o when three letters picked without replacement from oklkloglkkokgglgklk.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 157 times -1\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 38\/6 - 8\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*s**3 - 1 + (-4*s + 2*s**2 + 4*s)*(0 - 2*s + 0)*(-1 + 5 - 2).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 62108422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34294 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -24. Sort -3, 3, i in descending order.\nAnswer: i, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 12*r**2 - 17*r + 58. Is a(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -17*g + g**4 + 4426*g**2 - 331*g**2 - 3886 - 128*g**3 - 210 + 145*g = 0.\nAnswer: -1, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262 is divided by 67.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from fffssffffffs.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2551, -4 in increasing order.\nAnswer: -2551, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2\/7 (c) 1\/25 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5491832 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/24 and 61\/992013.\nAnswer: 7936104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/24 - 5*q**3\/2 + 21*q**2 - 1. Let m = 1311 + -1304. Determine p(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Which is the smallest value? (a) 2\/7 (b) -0.5 (c) n (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (291\/(-6))\/(5*(-1)\/3610). Suppose -t = -4*y - 2*c + 72701, 2*y - c = 53849. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -287, -5, 13 in descending order.\nAnswer: 13, -1, -5, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -16*j**3 + 5*j**2 - 16*j. Let p(f) = -3*f**3 + f**2 - 3*f. Suppose 18 = s + 7. What is s*p(k) - 2*m(k)?\nAnswer: -k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455030.\nAnswer: 2, 5, 45503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 14*b = 0. Solve b = -4*u - 1 - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-275) - -3*8\/132?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + (417725\/(-32131) - -4). Is i greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 34\/5)*((-45)\/(-6))\/1. Put -4, r, 144 in decreasing order.\nAnswer: 144, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.079677\nAnswer: 0.398385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 815159 - -35867.92?\nAnswer: 851026.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 223*q - 433*q - 2174*q - 6386 + 54066 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 12*w - 7*u - 3, -16 = 4*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -65*f + 113*f - 12*f + 73*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -54.47313 and 5.\nAnswer: -49.47313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.109 - 1914165.725028.\nAnswer: -1914165.616028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.9 - 26. Suppose s = 4*p + 2, 5 = 5*s - 2*p - 5. Let k = -0.1 - -0.1. Which is the closest to h? (a) s (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(382*i**2 - 3*i**4 - 730593*i**3 + 730593*i**3 + i) as s*i**4 + q*i**2 + g*i**3 + c + m*i and give q.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 962694 and 4062.\nAnswer: 962694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573270 bigger than 2573271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h - 10 = 0, -2*u = h + 22. Let j be 2 - (3 + 14\/u). Let s = 1 - 1. Which is bigger: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**4 - 637*f**3*n**2 - f**3 - 2*f*n + 66*f + 35*n**2 + 3 wrt f.\nAnswer: 60*f**2 - 3822*f*n**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 + 1 - (6 - 28) - 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + sqrt(2736)*-4 - 6*(sqrt(19) + 2 + sqrt(19)) - (-3 + 2 + sqrt(76) + -4))*-1.\nAnswer: 7 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 take away -47?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43977, 43711, 43261, 42621, 41785?\n\"Answer: -o**3 - 86*o**2 - o + 44065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 33, 1, 3, -78, 11 in decreasing order.\nAnswer: 33, 11, 3, 2, 1, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*d - 494639 + 164883 + 164875 + 164881.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*c**3 - 24*c + 24*c)*(-2*c**2 + 4*c**2 - c**2) + 17*c**5 - 12*c**5 + 51*c**5 + (c**2 - 2 + 2)*(-5*c**3 + 3*c**3 + 0*c**3) + c**2 - c**5 - c**2.\nAnswer: 39*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3888 divided by -432?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14 + 3*b - 4*b**2 - 35*b - 78.\nAnswer: -4*(b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, and 1 p when three letters picked without replacement from fgggepr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -2, -3, 2, 0 in decreasing order.\nAnswer: 2, 0, -2, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24\/56191 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*v - 4, 3*c + 4 = -2*c - 4*v. Factor -1\/4*h**3 + 0 + 1\/4*h + c*h**2.\nAnswer: -h*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 1. Let g be u(0). Let f = -2\/27 - 1\/27. Which is the smallest value? (a) -3\/2 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1245242, 2490485, 3735728, 4980971, 6226214?\nAnswer: 7471457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238346064 divided by 4413816.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*b + 147, 123 = 5*z - 2*b + 6*b. Suppose -u - 4*k - z = -0*k, 3*k = -5*u - 135. Round u to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53770470 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2. Let n(s) be the second derivative of -883*s**3\/3 - s**2 - 8*s + 167. Calculate n(z(c)).\nAnswer: -5298*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21657401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 10*g + 21. Let t be b(5). Which is smaller: -15\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 2. Suppose 0 = u + 3*a - 4 - 4, 6 = 3*u + 3*a. Let y be c(u). Suppose y*x + 24 = 6*x. Solve -x = -5*j + j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(130)*2 - sqrt(130))*-1 + sqrt(130) + sqrt(130) + sqrt(130) + sqrt(130) + sqrt(130)*2*6)\/((sqrt(160) + 1*sqrt(160))\/sqrt(4)))*-3.\nAnswer: -45*sqrt(13)\/4 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 + -66. Let n be -4*1 - f\/(-20). Let j = 3 + -4. Which is the nearest to j? (a) -5 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/20 - 12*o**2. Let k(u) = 10*u**2. Give k(z(t)).\nAnswer: 90*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 - 59 = -9*n - 425 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 - 27*t - 15. Determine l(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 - 209 - (-46 + -2 + -16 + 8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/35, 15309, 2, 27, 3\/5?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -1723.\nAnswer: 28\/1723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = -3*k - 6, 3*u - 6 = 3*k. Find the second derivative of u*q + 2*q**5 - 2*q**5 - q**5 - 4*q wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 8) + (-2 - -3 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 25 + 13)*(-2 + 2 + 2*g**5 + (0 - g**2 + 0)*(g**3 + 3 - 3))*(-2 - 9 + 4).\nAnswer: -224*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*u + 37, -3*s = 5*u - 1 - 33. Let t be 2\/u + (-36)\/(-10). Suppose 0 = -t*h + 10 + 2. Solve h*r + 0*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -60. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1648788*r**2 + 675994 wrt r?\nAnswer: 3297576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 24481587*s**2 - 49945711892241*s + 149836915342521.\nAnswer: -3*(s - 4080263)**2*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4085028?\nAnswer: 2, 3, 53, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*k - 2, 0 = -3*k + 3081*g - 3080*g - 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28430688?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -248\nAnswer: 3\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 51*z - 2. Let m be j(4). Suppose 0 = -5*o - 3*p + 256, -p = -4*o - 2*p + m. Calculate the greatest common factor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/8 - 18*y**2 - 405*y\/8.\nAnswer: -3*y*(y + 3)*(y + 45)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 - (-2 + -18) - (-3 - -4). Let r be (-4)\/2 - (-4 - -2). Solve t = 5*m, r = -4*i + 3*m + 7 - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 20*v - 8*v. Suppose v = -i - 4*i - 3*x + 72, 3*i + 5*x = 56. Solve -c = -3*f - 0*f - 6, 0 = -3*c - f - i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -1.849.\nAnswer: -2.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -88238.472916846 plus 2?\nAnswer: -88236.472916846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9642 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.4 (c) 31 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16803466.52 times -0.4?\nAnswer: 6721386.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5527 at most as big as -5523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 23 = -10*l + 5*j, -4*j - 12 = 0. Suppose -4*q - 4*z = -28, 7 - l = q - z. Solve 0*d + q*d = -24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556094.293 less than 0.2068?\nAnswer: -556094.0862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(1\/6)\/(32\/448)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241011?\nAnswer: 3, 61, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1505*m**5 + 6*m**4*s**2 - 2*m**2*s**2 + m**2 + 30858 wrt m?\nAnswer: 90300*m**2 + 144*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1119*g**2 + 277*g**2 + 239*g**2 + 811*g**2 + 29*g**2.\nAnswer: 2475*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 750 and 1575?\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u**2 - 591*u + 24*u**2 + 583*u.\nAnswer: 61*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/15 - 57354*w**2\/5 - 1233813546*w\/5 - 11099676726\/5 = 0.\nAnswer: -43011, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/6 and -113\/130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*i + 276*i + 5*r - 33 = 0, 3*r + 9 = 6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 + 70 + 72 + 27*x**3.\nAnswer: 27*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 - 12502131?\nAnswer: -12502030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -176da02 (base 14) to base 10\nAnswer: -11562434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 + 84. Let g = h + 75. What is the highest common factor of g and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u + 4*o = -33*u - 24, 2*u - 2*o = 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 4*t - 7. Let b be z(-6). Suppose 2*k + 3 = 3*c, -c - 4 + b = 2*k. What is the derivative of -3 + 0*o + k + o wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-39)*6\/8. What is the nearest to -2\/7 in y, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i + 26*i + 31*i.\nAnswer: 41*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3451 + 0.0451. What is the closest to 0.03 in u, 0.2, -109?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*n + 3678 = -6771 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5\/9 - 2752*f**4\/9 + 2756*f**3\/3 - 8272*f**2\/9 + 2758*f\/9 = 0.\nAnswer: -1379, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -3. Let b = d - -9. Suppose b + 30 = 3*q. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5176 + 1034?\nAnswer: -4142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2135 + -5?\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27444 + 438?\nAnswer: 27882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -40*159\/3392*8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*r - 10, -3*r + m - 3*m = -17. Calculate the smallest common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**2*f**3 - 130*c**2*f - c*f + f**3 + 9054*f + 9 wrt c.\nAnswer: 14*c*f**3 - 260*c*f - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o - 11. Let v be m(-5). Let i be ((-82)\/(-8) - 1) + (-1)\/v. Solve -4*d - r - i = -0*r, -d - 1 = -r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(75)*-3 - sqrt(75)) + sqrt(75) + sqrt(75))**2 + sqrt(21)\/(sqrt(49)\/sqrt(7)).\nAnswer: sqrt(3) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 115*v - 102. Suppose -2*h = 9 - 1. Let n(x) = -15*x**2 - 1610*x - 1430. Let j(u) = h*n(u) + 55*s(u). Let j(r) = 0. Calculate r.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373657 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 2*l - 4. Let o be g(4). Suppose -2*w - w + 15 = 4*a, -3*a = -o*w - 5. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634218 divided by 211406\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1320419 is divided by 2684?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + 3*n**3 + (-8*n**2 + 5*n**2 + n**2)*(2*n - 6*n + 3*n) - 15*n**3 - 18 + 18)*(2*n**2 - n**2 + 0*n**2).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 974489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 - 12*n**2 - 16*n + 31. List the prime factors of g(14).\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199\/828 + -2\/207. Suppose 0 = 5*i, 0 = -4*p - p - 4*i. Which is greater: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -17, -32 in decreasing order.\nAnswer: 1\/3, -17, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/36138 and 23\/94?\nAnswer: 1698486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 72 + -3.292\nAnswer: 68.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -8*n**3 + 29. Let h(x) = -40333*x + 5 + 4*x**2 - 5 + 40333*x. What is h(g(u))?\nAnswer: 2304*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227*a**5*w**2 - 1001*a**5 + 2631096*a**2*w**2 wrt a.\nAnswer: 13620*a**2*w**2 - 60060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*n + 378, 3*a + 2*n + 945 = 8*a. Suppose d + 186 = a. Solve 2*i = d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 777 (b) -2\/235 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6207833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 2*p + 7. Let q be j(5). Suppose -q*g - 13 = -41*g. Let m = 47 + g. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -194075816 divided by -4?\nAnswer: 48518954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, 423, 426?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 355 + 394 = 11*s + 4*s, 21 = 4*s - 3*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1 - (20 - (8 + (-10 - -1))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-164)\/(-2) + 1099756\/(-13671). Determine v so that 2\/9*v**4 + 0 + 28\/9*v**2 + 16\/9*v + i*v**3 = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-326)\/(-4) - 7\/(-14) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -491, -493, -495, -497?\n\"Answer: -2*v - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3508 + 1a13?\nAnswer: -15a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 2*q**2 + 3*q - 2. Suppose -7 = -5*l - p, -18 = 4*l - 5*p - 12. What is n(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c**2. Let j(r) be the first derivative of 2*r**3\/3 - 101*r - 2222. Determine j(g(z)).\nAnswer: 242*z**4 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 10:34 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = 5*h + 13, -4*h + 46 = 2*l. What is the remainder when 40 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-65401)\/(-1148) + -57)\/(30\/(-16))\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (8\/4 - 2). Let g(m) = 64*m**2 + 3*m + 1. What is the units digit of g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1179739*q = -1179742*q + 4*y - 30, -4*y + 40 = -8*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0260222 to 4 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**3 - 105*w**2 + 208*w - 13. Determine n(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8395 + 8603. Solve 72 - t = 34*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*v + 456 + 763 = -782. Let z(o) = -2*o - 3. Let l be z(-4). Suppose -y + l*m + 46 = -3*y, 0 = -y + 3*m - 34. Is v greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 93789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 933 - 6\/((-2)\/4*-4). Let k = c + -625. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -3*g**4\/28 - g**3 + 120*g**2\/7 + 1728*g\/7 - 318. Factor r(j).\nAnswer: -3*(j - 9)*(j + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1657 (base 10) in base 13?\nAnswer: -9a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22410000 (base 5) in base 6?\nAnswer: 4144453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1720\/12 - -2)*(9 + -12). Let z = g - -862. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twttttwtttttttwttt. What is prob of picking 3 w?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 + 5*q**2 + 2. Let f(n) = -n**3 + n**2 - 1. Suppose -13*y + 249 = -96*y. What is y*f(c) - g(c)?\nAnswer: c**3 - 8*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16865087141.22 + 0.4.\nAnswer: -16865087140.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3673986 * 0.2.\nAnswer: -734797.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 18*d**2 - 37*d + 27. What is the tens digit of y(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let b(s) = -s. Let q(o) = b(o) + 2*i(o). Let c(p) = -2*p + 25 - 25. Determine q(c(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10*t + 3. Let i(v) = 7*v + 2. Let s(x) = 7*i(x) - 5*j(x). Let a(l) = l. Let k(r) = 2*a(r) + s(r). Give k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001063 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -259 + 208 - 12237*r + 51 to f + x*r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(-50)\/(-210)*(-49)\/(-245). Suppose -2\/7*l**5 + 2\/7*l + 0 + 4\/7*l**2 - o*l**4 + 0*l**3 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 m when three letters picked without replacement from {e: 2, r: 3, m: 10}.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 200\/7, 2, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*d + 68 = 0, -3*q = -0*q - 5*d + 97. Let t = -24 - q. Solve a = 4*i, -4*a + 19 = -t*a + 3*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 + 7*d**2 + 206 - 1 - 104 - 99 + 12*d to h*d**2 + j + m*d + n*d**4 + w*d**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2+-58.61263\nAnswer: -60.61263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54.63024 - 131.\nAnswer: -185.63024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k + 14. Put -1, k, 2 in decreasing order.\nAnswer: 2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -2, -24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2087394 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 403, 806, 1227, 1678, 2171, 2718, 3331, 4022?\n\"Answer: 2*j**3 - 3*j**2 + 398*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4388\/7 + -1908766\/3045. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 87 - 217 - 122 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6076912 + -6076916.512893. Let y = 0.112483 + k. Let w = y + 4.4. What is w rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -114730, -115064, -115398, -115732, -116066, -116400?\n\"Answer: -334*q - 114396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22311 - -1424334?\nAnswer: 1402023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**4\/4 + g**3\/3 - g**2 + 3*g - 8. Let t(k) = -2*k + 6. Let c be t(2). What is x(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18\/373, 5, -406?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/5, 29, 15, 0.1, 9, -1, -5.\nAnswer: -5, -1, 0.1, 11\/5, 9, 15, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 0*f)*(-3*f**3 - 2*f**3 + f**3)*((-2 - 2 - 1)*(1 - 3 + 0) - 5 + 0 + 0).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r - 16. What is the common denominator of 23\/2 and 132\/9 + r\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15033 + -43811234502.\nAnswer: -43811249535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2554 = 5*a, 3*k + 10*a - 9*a = 3848. What is the first derivative of 1355*x**3 - 9 - k*x**3 + 53 + 68 wrt x?\nAnswer: 219*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1082 = 2*i - 5*g, -5*i + 3*g + 2687 = 0. What is the common denominator of -11\/10 and (1 + 1)*i\/180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {p: 1, r: 12, o: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*m**2*w + 27*f**3*w**2 + f**3*w - 2*f*m**3 - 734*m**3*w**2 + 1185499*m**2*w + 2*m*w**2 wrt w.\nAnswer: 54*f**3 - 1468*m**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000122 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 7) in base 6?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1196055 divided by 4\nAnswer: 1196055\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s - 3*u, -2*s - 3*u + 4 = -3. Suppose -f - s = -p + 2*f, 5*f = -5. List the prime factors of (-1)\/(((8\/p)\/148)\/(-1)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/4 - n**3\/2 + n**2 + 1. Let b(c) = 3*c + 2. What is -5*b(m) - 3*d(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {z: 1, t: 5, o: 7}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2 + 7*r - 4. Calculate k(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfzndsndddzfi. Give prob of picking 1 d, 1 s, 1 z, and 1 n.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 5:11 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 22*n + 46. Let k be j(-2). Suppose 4*z - u = 3*u + 2888, -z + 716 = k*u. Does 45 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*c + 28, 4*c = -3*t + t + 26. Let v = t + 8. Suppose v = -7*f + 157. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 66. Suppose 0 = -5*a + 25, v = -2*s + s - 4*a + 23. Factor 8*u**3 - 6*u + u**s - 5*u**3 - 2*u - 4*u**2.\nAnswer: 4*u*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.682 - -0.79. Let x = 0.008 - b. Let v = -1 + -3. What is the nearest to x in -0.5, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and 12.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-4)\/70) - -3. Let k(b) = -38 + l + b. List the prime factors of k(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(2 - 3\/2). Let x be (-3)\/17*w\/6. Let f be (2\/4)\/(5\/(-10)). Is x < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -842*5\/((-5)\/24). Suppose 53*x = -18125136 + 1176160. Let f = x - c. Round f to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) + 748796\/12. What is q rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6 and 68\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 14)*(-5*g**4 - 8*g**4 + 6*g**4) as b*g**2 + h*g**3 + i*g**4 + a + c*g and give i.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100783, -201562, -302341, -403120?\n\"Answer: -100779*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:02 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 206644.\nAnswer: 12398.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 572732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 4*z - 5. Let j = 11 + -8. Let a(y) = y**2 + 8*y - 9. Let o(g) = j*a(g) - 5*m(g). Suppose o(c) = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (292\/(-12) - 2\/3). Let f be 4\/(o\/(-10) + 3). Suppose -36 = 5*m + 2*a + 10, -40 = 3*m - 5*a. Put f, 2, m, 3 in increasing order.\nAnswer: m, 2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*v = v + 5, 4*v + 6 = -5*g. Let f be -795 + (-18)\/(-22) + g\/(-11). Let i = -509 - f. Calculate the highest common factor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-4))\/((-27)\/18)*(-2)\/(-90)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.2 + 14. Let y = t - 0. Let k = y + 0.1. Which is bigger: k or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116148, -116214, -116280, -116346?\nAnswer: -116412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67*a**2 + 60*a**2 - 202*a**2 + 131*a**2 + 1388 wrt a.\nAnswer: 112*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.3 - -11.300038. What is p rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**2 - 4*f**2 + 80*f**2)*(f**2 + f - f + (4*f - 3*f + f)*(0*f + 0*f + f) - 2*f**2 - 2*f**2 + 5*f**2).\nAnswer: 352*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*(s\/s**(4\/3)*s)\/s*s))**(-1\/7) assuming s is positive.\nAnswer: s**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4148406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**3 + 22*m**2 + 160*m + 115. Determine f(-5).\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.137 + -18.163. Let b = 0.3 + a. Let v = b + 17.5. What is the closest to -0.2 in -0.1, 0.3, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1077, -10228, -35149, -83724, -163837, -283372, -450213?\n\"Answer: -1314*i**3 - i**2 + 50*i + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -664*h**5 + 12752*h**4 - 2*h**2 - 7127*h + 157 wrt h?\nAnswer: -39840*h**2 + 306048*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53366746*x**2 + 2*x**3 - 1 + 53366746*x**2 + 1.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1241, -2479, -3733, -5009, -6313, -7651?\n\"Answer: -f**3 - 2*f**2 - 1225*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -5. Suppose 0*a = -3*a + 3, -a - o = -w. Suppose w*b = 5*b + 3. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/7 - 888*o**3\/7 + 12480*o**2 - 3238400*o\/7 + 41472000\/7.\nAnswer: 2*(o - 324)*(o - 40)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 2*t - 2*r, 0*r + 300 = 2*t + 5*r. Suppose -8*d + 4*d + t = 0. Solve 0 = -10*l + 2*l + d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 126 = -18. Suppose -3*q - q = -128. What is the greatest common factor of q and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4986384 divided by 131.\nAnswer: 38064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -1. Let y be (-15)\/6*(0 - 2). Let z(v) = 0*v**2 - 8 + v**3 + y - v**2 - 5*v**2. Give z(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than -0.65962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 21763316813.\nAnswer: 21763316814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -28552?\nAnswer: -28553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 191312 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419574, 839132, 1258690, 1678248, 2097806, 2517364?\nAnswer: 2936922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4 = 2*u. List the prime factors of 66\/9 - u\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38244)\/(-299578))\/((-6)\/(-4371)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*y + 26. Suppose y*f + 44 = 6*f. Let i(v) = -16*v**3 - v**2 - 2*v - 1. Let k be i(-1). Solve -4*j = 2*c + k, 0 = 2*c - 2*j - f - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40850 and 5520.\nAnswer: 22549200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 222.13924 - 0.03924. What is q rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4 + 83659*a**3 - 83657*a**2 - 83659*a + 83658 = 0.\nAnswer: -1, 1, 83658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 3*j - 3*j)*(61*j + 1 + 0 - 22*j).\nAnswer: -78*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -99*z + 11. Let q(v) = -33*v + 4. Let g(x) = 8*q(x) - 3*s(x). Let o be g(1). Find the first derivative of 30 - o - 5*h**3 + 2*h**3 wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4 - 2 = 0. Let n be 50*(-8)\/(-60)*-3. What is the lowest common multiple of 20 and 32\/n*25\/k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*u - 3, -2*s - 3*u - 1 = -7*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 5. Let b be ((-1)\/2)\/(6\/(-36)). Let t(i) = -9*i - 14. Let r be -1*9*32\/(-6). Let a = -56 + r. What is a*f(s) + b*t(s)?\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3327459 + -393999. Let n = 2933062.9841 - x. Let u = 397 + n. Round u to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 2160 = -2*k. What is the tens digit of (1*(-48)\/5)\/(12\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -5*c + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpwj when four letters picked without replacement from jlljwjljpywwljlp.\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -55, -138, -295, -550, -927, -1450?\n\"Answer: -4*g**3 - g**2 - 2*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 59.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 92 + (97 - (153 - -15))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**3 + 3*n**2 - 7*n - 5. Let t(s) = -s - 96*s**3 + 6*s - 2*s**2 + 4 + 101*s**3 + s. Calculate -5*t(d) - 4*v(d).\nAnswer: -d**3 - 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207010, -206768, -206526, -206284, -206042?\nAnswer: -205800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*b - 3)*(2 - 3 + 0)*(3 + 5 - 5)*(6 - 5 + 3) to the form v + q*b and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -16. Let f = 170 + -169.5. What is the closest to -2\/3 in 0, c, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksfkfmuu. Give prob of picking 1 f and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 6599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + (-5*4*sqrt(72) - (-2 + 3*sqrt(72)))))**2.\nAnswer: 552*sqrt(2) + 38092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**2 + 4*x**2)*(39 - 8 + 1)*(-x + 0*x - 2*x)*(2 - 6 + 3).\nAnswer: 384*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39873666 to the nearest integer?\nAnswer: 6315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -186\/5. Let h = -1901130\/17 + 111831. What is the closest to p in 5, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(11\/33). Is 1\/62 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.7 - -22.064. Let j = -2.3224 + 0.2484. Let r = j + k. Round r to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:54 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 + 1.6999986. What is i rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3937 is divided by 557?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + 4*t)*(-1 - 3 + 2) + (4 - 5 + 2)*(922 - 922 + 32*t)*(9 - 20 - 8).\nAnswer: -610*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1077 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 + 7*v**2 + 241 + v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-81 + 3)*(-4)\/12. Suppose 2*m - 3*h = -3*m - 56, -2*m = -3*h + i. Is m < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110010010010 (base 2) to base 3\nAnswer: 101000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yky when three letters picked without replacement from kykykk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.49080695 - -4.10918015. Let h = k + -23.6. Round h to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552 (base 12) in base 2?\nAnswer: 1000010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*l - 161*l - 7 = -h, 5*l - 30 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172412850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w + 539*w - 47 + 19 + 57*w**2 + 25.\nAnswer: 57*w**2 + 568*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -180*b - 808 + 3925 + 483. Calculate the remainder when 1531 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 507031 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v**3 - 3595*v + 1797*v + 1798*v.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a\/(a*a**(2\/7))))*a)*a)**3*(a*a*a\/(a\/(a**(-8)*a)))\/(a*a**(-3)) assuming a is positive.\nAnswer: a**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 806\/63 - 110\/9. Let a = -25638\/11 - -179510\/77. Factor -b*s**4 + 8\/7*s**3 + 8\/7*s**2 - a*s**5 - 4\/7 - 4\/7*s.\nAnswer: -4*(s - 1)**2*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 280*g + 15877. Calculate b(-79).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -24.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 3. Let l(x) = x - 6. Let k(v) = 6*l(v) + 10*n(v). Let w(o) be the third derivative of -o**4\/24 - o**3\/6 - 179*o**2. What is -k(c) + 3*w(c)?\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28957.08 - 28957. Which is the second biggest value? (a) 2 (b) -9 (c) k (d) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.3169\nAnswer: 0.03169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16763 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*t**2 - 1 + 19*t + 6*t**2 + 10*t**2 + 2 + 2*t**4 in the form p*t**4 + k*t + c*t**2 + a*t**3 + w and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = 6*n, -4*n - 18 = -d. What is the remainder when d is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260916 + 1260916 - 10139*v**3 + 10127*v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/744 and -133\/6?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -5561*l**5\/5 + l**3\/3 + l**2 - 974*l + 285. What is the third derivative of q(f) wrt f?\nAnswer: -133464*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 5*o - 16. Suppose -7 = -4*w + 4*g - 43, w = 3*g - 13. Is x(w) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90197.\nAnswer: 90197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/3 + -1)\/(1216\/(-228)). Let p = 8 - 5. Which is the second biggest value? (a) p (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36381239 divided by 7?\nAnswer: 36381239\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1680 + 4?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/(-25))\/(-2))\/((-2)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 35284138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2 + (-5)\/(-5). Suppose h*d - 20 = 2*w, d - 6*w = -w + 27. Solve 4*b - 3*m - 12 = 0, b + d*m = 5*b - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4472855?\nAnswer: 5, 271, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8\/(-24) + (-11066)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*o**3 + 279*o**3 - 200*o + 10 + 3*o**4 + 206*o as d*o**2 + w*o + s*o**4 + t + a*o**3 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((14\/4)\/((-3)\/6))\/(-1). Let s be 2\/8*2*4. Let l = s + w. Calculate the greatest common divisor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(sqrt(20)\/(sqrt(45) - sqrt(5)) + sqrt(4)))\/(-6*(sqrt(8)\/sqrt(2) + sqrt(4)) + (sqrt(4)*-2 - sqrt(4))*3) + 2)**2.\nAnswer: -8*sqrt(5)\/63 + 15896\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 + 4*o**4 - o**4 + (-2*o**3 + o**3 + 3*o**3)*(2*o + 0*o + 0*o) + 4*o**4 + 2*o**4 + 2*o**4 - 4*o**4 + o**4 + 2*o**4.\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 16. Suppose -5*g = h + i, 2*g - 3*g = -4*h + 21. Solve -5 = -5*f, 5*w - 8 - h = -2*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -329, 0.4, -2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51 in -0.7, 4, 2\/3, 2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58338, 58334, 58336, 58350, 58382, 58438, 58524, 58646?\n\"Answer: g**3 - 3*g**2 - 2*g + 58342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-13)*d*d*d\/(d*d**1)*d*(d**(-15)\/d)\/(d\/d**12) assuming d is positive.\nAnswer: d**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*i + 3 + 8 = 0, 3*i + 9 = -c. Suppose -c*t + 585 = 3*y, -4*y - 3*t = -t - 780. Calculate the remainder when y is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-10)\/12)*((-455)\/(-507))\/(-35).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-1))\/((-2)\/(-2)). Let y(j) be the second derivative of -j**4\/6 - 13*j**3\/6 + j**2\/2 - 17*j. Let i be y(-6). Solve i = 4*d - m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5 = 0, 13*c - 4*r + 1 = 16*c. Calculate the least common multiple of c and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636497149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64 - 36a0?\nAnswer: -3714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342193 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 17 + (-90 - -33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 56*y**3 + 54*y**2 - 8*y. Let u(i) = -i**3 + i**2 + 2*i. Let f(g) = j(g) + 4*u(g). What is the third derivative of f(c) wrt c?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028022 rounded to six dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a = 4330 + 1934. Suppose d + 43 = -54. Let f = d + a. What is f rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 4*u**3 + u**3)*(3 - 3 - u) + 19*u**4 - 37*u**4 + 176*u**4 + (-5 + 3 + 4)*(u - u - 2*u**4).\nAnswer: 155*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 1 - v**2 - 2 - 3*v**2 + 6*v**2 - 2*v**2 + (-4*v + 5*v - 3*v)*(4*v - v - v).\nAnswer: -4*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/27)\/t**(-2))\/(t**(-1\/8)\/(t**9\/t)) assuming t is positive.\nAnswer: t**(2171\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 282*u + u**3 + 282*u.\nAnswer: u**3 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 396955?\nAnswer: 2381730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*s - 2026 - 536, -2*g - 4*s + 1284 = 0. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 363, 820, 1459?\nAnswer: 2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - -62 - (22 + 24)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -206.2 - -162. Let g = 44 + y. What is the third biggest value in g, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + p**2 - 2657 - 17*p + 2642. Determine s(-13).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 485 = 3*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(-6*(sqrt(168)\/sqrt(3) + sqrt(56)))\/(sqrt(162)*-1)*-6 + -5.\nAnswer: -48*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - a**2 + 3*a**2 + 3*a**2 + 39 - 9*a**4 + 0*a**2 to j*a + q + k*a**3 + y*a**2 + m*a**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/15030 and 79\/35070.\nAnswer: 105210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 64b05 - 0?\nAnswer: 64b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 4*d - 25 + 75 - 50.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2240319*l**4 - 3884099*l.\nAnswer: -26883828*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 11*o - 13*o. Let a be ((-81)\/(-24))\/((-25)\/(-30)). Let c = -19\/5 + a. Which is greater: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*o + 52 - 16 = 0, -2*o - 28 = -2*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.82 + -0.42. Let s = -208 - -212. Put -1, -4, s, z in increasing order.\nAnswer: -4, -1, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 0.4, -0.5.\nAnswer: -0.5, 1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 6. Let w be f(4). Let o = -5.7 + 6. Let g = 0.3 - o. Put w, g, -3 in descending order.\nAnswer: w, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + (sqrt(104)\/sqrt(4))\/sqrt(2) + -4 - ((2 + sqrt(78)\/sqrt(6))**2 + sqrt(13) - (sqrt(208) - (sqrt(208) - (sqrt(208) + -2))))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*1*sqrt(76) + 0 + sqrt(76)*-1 + (sqrt(76) + -1 + 0)*2 + 1)**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-65 + 43) - 35 - (13 + (0 - -1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1 = -2*w, -3*y + 5*w + 20 = 2*y. What is the closest to 6 in -1, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111951746 and 14044.\nAnswer: 7022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - -9)*121\/2. Let j = -49 + s. Calculate the remainder when j is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1, 0.1 in descending order.\nAnswer: 5, 1, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 540 - -1513033?\nAnswer: 1514013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -695, -2810, -6333, -11264, -17603, -25350?\nAnswer: -34505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3560*s**3 + 17*s**2 + 3563*s**3 - 17*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-20)\/(6 - 1) - -456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6 = -r, 2*r + 14 = 4*p. Find the first derivative of -4 - 8*t**2 + t**2 + p*t**2 wrt t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10144*f*n**2 + 106*f*n - 3*f + 93142743*n**2 with respect to f.\nAnswer: -10144*n**2 + 106*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2\/5 (c) -2\/501 (d) -2\/3 (e) 2\/17 (f) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23328 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*1*sqrt(153) - sqrt(153)*2*-2) + 2)*2)**2.\nAnswer: 384*sqrt(17) + 39184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c. Solve -3*j + c - 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 3*f - 1. Let a be q(-4). Let g = -42 + 58. Let r be (6\/4)\/((18\/g)\/3). Solve 0 = r*x - 3*l - 19 - 2, 0 = -3*x + a*l + 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 + 2 + 0. Let r(x) = -x**2 + 20*x - 48. Let k be r(17). Put k, f, -8 in descending order.\nAnswer: f, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 269905*l**2 + 18212042303*l - 18212312209.\nAnswer: (l - 1)*(l + 134953)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 7, -28, -97, -212, -385, -628, -953?\n\"Answer: -2*s**3 + s**2 - 2*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/172*2)\/((60\/(-6))\/860).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 724 + 5380*b**2 + 28*b + 33*b - 61*b - 5391*b**2 as q*b + i*b**2 + k and give k.\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 12*g + 3. Let q be -11 - 1\/(1 + 0). Let c be w(q). Solve -4*a - 5*d - 12 = -0*a, 4*a - c*d + 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81699 - 81706.3298. Let b = -7.3 - s. What is b rounded to 3 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/12 + 1\/(-4). Let u(g) = -2*g**3 - 5*g**2 - 2*g. Is 5 a factor of u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -561 * 0.04531.\nAnswer: -25.41891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:09 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-6))\/(9\/27))\/(4*(-9)\/(-816)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.79 + -0.21. Let n = -19 - c. Which is greater: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -255, -503, -747, -987?\n\"Answer: 2*x**2 - 254*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67658 and -1.\nAnswer: -67658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/4, -5, -1\/232?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1816084.746 microseconds?\nAnswer: 0.000003002785625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 1:17 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -61 + (-8 - (30 - 55)) + 6\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*1)**2 + 4 - (sqrt(1008) + -1 + sqrt(1008) - (sqrt(7) + sqrt(35)\/sqrt(5)*-4)).\nAnswer: -27*sqrt(7) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 3:19 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1736560418?\nAnswer: 2, 31, 43, 47, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-22)\/3*10080\/(-320) is divided by 51?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3086217820 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2358428455.\nAnswer: 5, 471685691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 2920186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2 + 4 + -3) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115808 is divided by 9674.\nAnswer: 9394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roi when three letters picked without replacement from iddddgoirgdg?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 7. Let k(x) = 4*x**2 - 2*x + 1. Let w be k(1). Let y be j(w). Let a(s) = s - 5 + 1 - 1. What is a(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/r)\/(r*r**(2\/9)) assuming r is positive.\nAnswer: r**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/405933 and -31\/33.\nAnswer: 405933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 5\/61 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzzffxvzffpvzpxvfff. What is prob of sequence vf?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 51075972.76 to the nearest one thousand.\nAnswer: 51076000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-210)\/8)\/5*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 5*v**2 + 7*v - 14. Calculate i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - b**2 - 3*b - 2. Let j(g) = 3*g**2 + 12*g + 13. Let o be j(-6). Let x = -30 + o. What is the remainder when x is divided by l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 8) in base 14?\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50465 = 178*f + 147119. Sort 3, 1, f in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -53 + 1 + -12 + -6 + -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -50 (c) -4\/9 (d) -131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 7586*i - 7591*i - 40 = 0, 5*i + 40 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Suppose h*v + 10 = 2*i, i + 0*i = 5*v + 25. Suppose 3*k = -1 - 2, a = 4*k. Sort 0.2, a, v in increasing order.\nAnswer: v, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/9)\/(2\/(-12)). Let q = -2 + p. 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: Let m be 3 - (-436)\/(((-8)\/(-119))\/4). Let k = m - 622565\/24. What is the common denominator of k and -31\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20639, -21155, -21671, -22187?\n\"Answer: -516*s - 20123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3339715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 739*r**2 + 123520*r + 4916868.\nAnswer: (r - 386)**2*(r + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (1 - (-9 - -26)) - 21\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38404103, 76808210, 115212317, 153616424, 192020531, 230424638?\nAnswer: 268828745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12197, -52639, -120041, -214403?\nAnswer: -335725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -52599*d**4 + 1209798*d**3\/7 - 1052049*d**2\/7 + 210456*d\/7 - 12\/7 = 0.\nAnswer: 1\/17533, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628533319.\nAnswer: 19, 37, 894073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 3)*(-4 + 5 + 0) + 1376 - 2392 + 1548)*(-3*i**4 + 3*i**4 - i**5).\nAnswer: -530*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1985 + -1981. Let w = 2156983\/51810 - -116\/2355. Let u = w + -83\/2. What is the second biggest value in u, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*p**3 - 35*p**3 + 60*p + 168 - 166 + p**2 + 2*p**4 to the form c*p**3 + x*p**4 + f*p**2 + m + l*p and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 13 = 3*f - p, -2*p = -2*f + 10. What is the first derivative of -f + 0*h**4 + 6*h**4 - 1 - 1 wrt h?\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3304665431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 836\/9196 + (-2)\/(-154)*-73\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, -31, 2\/51, -1\/2, -4, 0.4.\nAnswer: -142, -31, -4, -1\/2, 2\/51, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -71*z**2 - 6*z + 421. Determine n(-2).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*h - 8*h - 971297 = 1062889. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 859, 909, 985, 1081, 1191, 1309, 1429?\n\"Answer: -o**3 + 19*o**2 + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/5)\/(-2*3\/(-1230)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmxwmfwxffmm. What is prob of sequence fwfw?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 17*p**2 + 16*p + 4. Let n be c(-16). Suppose -2*a + 18 = -5*t, -n*t - 18 = -3*a - 5. Is 0 - a - 40*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14731 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 12*g + 31. Let z be f(6). Let y = z - -5. Suppose y = c - 3. Solve 20 = 2*k + c*k, 0 = 4*w + 3*k + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 322. Let v(h) = -4*h. What is v(t(k))?\nAnswer: -4*k - 1288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (170\/(-4675))\/((-12)\/50)*12\/10. Which is the smallest value? (a) -945 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-6) + 1 - 7074\/(-162)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000611 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 5\/3, 156458?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6457 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5819 divided by 14.\nAnswer: 5819\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-2\/5)*a*a)))**(-5\/4)\/(a*a**(-1\/4)\/a)**(-36))**(-13) assuming a is positive.\nAnswer: a**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, i: 7, a: 6}. What is prob of sequence aaia?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-2)\/((-7)\/((-14)\/4)). Let v(p) = -p**2 + 6*p - 2. Let z be v(6). Let g be (z\/(a + 3))\/(-2). Is g at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 15 = -4*k, -s - 4*k + 5 = -2*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z. Let f be o(-1). Let l(s) = 3*s - 12. Let a be l(6). Let u(v) = -3*v - v + 4 - 3 + v**2 - a. Give u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 896\/26432 - 9924\/354.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7527*g*m*y - 6*g*m + 884*g*y - 177470*g + m*y - 10*m wrt y.\nAnswer: 7527*g*m + 884*g + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 31. Calculate the remainder when (5 - v*-2) + (-2 - -3) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1 - 1)\/(-3))\/(-6 - -3). Suppose -k + i = -5. Suppose 4*q - 93 = -k*n + 63, 26 = q - 2*n. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**2 + 77*l + 5. Calculate the lowest common multiple of 126 and x(11).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 4*w**2 + 6*w + 1. Give y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*w**2 - 9*w**2 - 5*w**5 + (5*w**2 - 5*w**2 - 3*w**4)*(7*w + 3*w - 5*w) - 4*w**5 - 4 + 4 - 3*w**5 - 8*w**2 + 8*w**2.\nAnswer: -27*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-3 + sqrt(99))*-6*-1 - (1 + (sqrt(99) + sqrt(99)*-3)*4)))**2.\nAnswer: -57456*sqrt(11) + 711540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 277287\/20 + -13870. Calculate the common denominator of 41\/16 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t - 6. Let d be j(-6). What is the highest common divisor of 288 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) -3 (b) -0.1 (c) -2\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ctcycctytc.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 8 = u, -5*o - 12 = -4*u - 48 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, s: 1, o: 2, r: 1, z: 1, t: 1}. Give prob of picking 1 o, 1 t, 1 r, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, 6, 2, -1, 5, 31 in ascending order.\nAnswer: -247, -1, 2, 5, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - 14?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4\/4 + 3*c**3\/2 - 3*c**2\/4 - 4*c + 3 = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.75 * -0.4\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 36 = -3*b, 0 = z + 3*z - 3*b + 62 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + 3*(-4*-1*sqrt(272) - (2*sqrt(272) + -2))))**2.\nAnswer: 528*sqrt(17) + 9913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = u - 13, u + 22 = 2*x + 5*u. Suppose -x*l = 2*n - 6*n - 642, 2*l + n - 428 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8731?\nAnswer: 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 57, 131, 235, 369?\n\"Answer: 15*b**2 - b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h - 3*h + 5*h + 2*h + h - h + (0*h - h + 2*h)*(1 - 1 + 2))*(0 - h**3 + 0) to w*h**2 + a*h + r*h**3 + v + o*h**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1455637574712?\nAnswer: -1455637574714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110733*q + 25152*q - 105912*q - 891*q.\nAnswer: -192384*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-443)\/23 - 35\/(-280)*152?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2164*t**3\/3 + 4334*t**2\/3 - 4*t.\nAnswer: -2*t*(t - 2)*(1082*t - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)*a)**(-18))**(1\/23) assuming a is positive.\nAnswer: a**(-30\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -47*z**2\/2 + 5*z - 4. Suppose -50*r = -54*r - 24. Is b(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 210321?\nAnswer: 210332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1269 and 87443829?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, 3, 1\/49, -1\/11, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 827971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229*o**4 + 8*o**3 - 3*o**2 - 65007*o wrt o.\nAnswer: 2748*o**2 + 48*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 100122111?\nAnswer: -100122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 119219941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206592 - 206586.00035. Let l = -60 + 66. Let y = l - q. Round y to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-1320)\/(-100))*(-20)\/(-168).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 151 and ((-7)\/((-28)\/(-24)))\/(41\/(-6191))?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -79*c**3\/3 - 65*c**2 - c. Let q(y) = 63*y + 52. Let x(h) = -12*q(h) - 5*v(h). What is the units digit of x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*i)*(-7 + 8 - 32)*(-101*i**2 - 85*i**2 + 39*i**2).\nAnswer: -13671*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 - 11286271*w**2\/3 + 45145087*w\/6 - 11286272\/3.\nAnswer: -(w - 1)**2*(w + 22572544)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7154 - 3106. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138862 = 81*j + 34453. Which is greater: j or 1284?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 14*p - 12. What is the hundreds digit of k(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 24*c**2 + 176*c - 5. Determine o(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 3*h**5\/4 - 13*h**4\/12 + 3*h**3\/2 - 13*h**2\/2 - h. Let l(p) = 7*p**3 - 6*p**2 + 4*p - 6. Determine 13*l(i) - 6*x(i).\nAnswer: i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 2*p**2 - 20*p + 12. What is y(-5)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(-5*h**2 + h**2 + 3*h**2 + (5*h - 3*h - 4*h)*(-1 + h + 1) - h**2 + h**2 - h**2)*(0 - 3 + 2).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 32*u**2 + 148*u + 128. Let f be t(-36). Sort 4, f, -6.\nAnswer: f, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*y + 3, 18 = 5*u + y. Let s = -13171 + 13187. Solve -2*p = 2*o - s - 2, u*o = -5*p + 37 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -258*f. Suppose -10*p + 30*p - 760 = 0. Let j(a) = 4*a - p*a + 33*a. Calculate w(j(d)).\nAnswer: 258*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*p - 3970, -w - 325 = 4*p - 1307. Let b = 1201 - w. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -663, -655, -637, -603, -547, -463, -345?\n\"Answer: z**3 - z**2 + 4*z - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.827005 weeks in seconds?\nAnswer: 2919372.624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 - 5 = 0, 0 = 2*i - 2*m - 6582. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**5\/150 - f**4\/15 - f**3\/5 - 2*f**2. Factor n(b).\nAnswer: -2*(b + 1)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(1\/24*-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 2*s**3\/3 - s**2 - s + 5. Let u be d(2). Suppose 5*z - 3*t - 16 = 0, -2*t - u - 3 = -z. Solve z*x + 3*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5037382, 5037312, 5037242, 5037172, 5037102, 5037032?\n\"Answer: -70*m + 5037452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -24 - (-28 - -20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/12)\/9*(-8)\/(-25).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12059753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97708 is divided by 46193.\nAnswer: 5322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15934 and -553.\nAnswer: -8811502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209*-745.\nAnswer: 155705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10928380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(245\/(-14)))\/((-1)\/10). Solve 0 = -0*r + f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1250) + (0 + -1 + sqrt(1250))**2.\nAnswer: -25*sqrt(2) + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5\/14)*f*f\/f**(-1\/10))\/(f\/f**(-6\/5))**(-35))**(-1\/11) assuming f is positive.\nAnswer: f**(-2756\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 9.73\nAnswer: -9.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**5\/45 + g**4\/6 - g**3\/9 - 28*g**2\/9 - 16*g\/3 - 97. Factor l(q).\nAnswer: (q - 3)*(q + 1)*(q + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/9)*j*j**(-10))**(34\/5))**4 assuming j is positive.\nAnswer: j**(-10064\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 77*o**2 + 12397*o + 30. What is u(-161)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*p = -85, -3 = -0*m - m - 5*p. Suppose l - m = -5*j, -2*j - l + 7 = -j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -618 - -987. What is the greatest common divisor of s and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*1 - (-12)\/45. Let q = f - -7\/5. Which is the second smallest value? (a) q (b) -0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 14. Is 4 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5680 divided by -355\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/((-22770)\/(-1656)*8\/15).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m + 6\/7*m**2 - 8\/7 - 2\/7*m**3.\nAnswer: -2*(m - 2)**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 150768, 1, 1\/9, -0.14?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 269 - 296 - (-1662)\/(-66) - (-2)\/11.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468655 is divided by 468165.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.15265 milligrams in grams?\nAnswer: 0.03415265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 13300000 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 t when four letters picked without replacement from bbbbtbbtbbbbbbbbtb.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(3)*4 + sqrt(28) + (sqrt(700) - sqrt(700)*1))\/((sqrt(4) + sqrt(8)\/sqrt(2))*-6 - 4*sqrt(64)).\nAnswer: -5*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1097, -1067, -1005, -899, -737, -507, -197, 205?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 + 2072*x**4 - 40756*x**3 + 30376*x**2 + 162960*x - 154656 = 0.\nAnswer: -537, -2, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**7\/420 + w**4\/24 + 2*w**3\/3 - 2. Let k(x) be the third derivative of s(x). What is the derivative of k(p) wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 - 3 = 0. Let o = -1 - z. Let g(t) = -7*t**o - 39 - t**3 + 18 + 2*t**3 + 22 + 7*t. Determine g(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 2011202210011?\nAnswer: 2011202210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (9\/6)\/(2\/104)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-360)\/8)\/(-135))\/((-59)\/(-3)). Which is the second biggest value? (a) -5\/12 (b) -4 (c) q (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose t = -p + 2*p - 3. Let n(z) = 3*z**2 + 1 - z**p - 2*z + z**2 - 2*z**2. Calculate n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42125 (base 12) to base 13.\nAnswer: 30536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4620*v + 25*v**3 - 2*v**3 + 324 - 4620*v - 26*v**3.\nAnswer: -3*v**3 + 324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3)*24\/(-108)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 132d0 (base 14) to base 5\nAnswer: 3002342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*q + 35, -2*q + 5 = z + 10. Suppose v - 7 = -n + 3*v, -n = 2*v + z. Let g = 8 + -10. Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 12:40 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n + 3*z, -6*z + 3*z - 2 = -5*n. Let j be ((-2)\/5)\/(32\/(-280)). Let i = 11\/3 - j. Which is the smallest value? (a) i (b) n (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/1*((-3124)\/(-165) + -19). What is the biggest value in 4, 0.6, r, 0.03?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, 15\/26, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 0.13805.\nAnswer: -0.16195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(2299))**2.\nAnswer: 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 3.16, -4, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, g: 6, h: 2}. Give prob of picking 1 h and 3 m.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**3 + 328*l**5 + 0*l**2 + 2 - 327*l**5 + 61*l - l**2 - 10 - 94*l**4 + 208*l**4 wrt l?\nAnswer: 60*l**2 + 2736*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 251566671.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**4\/4 - 2*o**3 - o**2\/2 + 10*o + 563. Determine v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, and 1 r when three letters picked without replacement from rrlllrkkkkllkerlr.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19105, -37363, -55611, -73843, -92053, -110235, -128383?\nAnswer: -146491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 35 + (5 - (24 + -5)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbd when four letters picked without replacement from dddbdbbbbdddd?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/4 + 160681*u**2\/4 - 160684*u + 160685 = 0?\nAnswer: -160685, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 0 - -4)*-1*58. Find the second derivative of -5*l + 22*l**2 + h*l + 20*l**2 wrt l.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Let y(p) = -5*p + 6. Let z be y(0). Suppose -t*k - z = -0*k. Let s(f) = f - 1. Determine s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**5 - k**5 + 0*k**5)*(3 - 6 - 16).\nAnswer: 57*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4, -2*q - 2*q + v = 64. Let d = 37\/2 + q. What is the closest to 2 in d, -3\/2, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2327956.40581057 + -0.5\nAnswer: -2327956.90581057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 5*o**3\/3 + 2537. Let p(z) = 4*z. Let w(c) = -9*c. Let h(y) = 10*p(y) + 6*w(y). Determine m(h(s)).\nAnswer: 980*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/12*1\/6. Let a = -317.1 + 317. Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434790?\nAnswer: 2, 3, 5, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615218759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 - 8*i - 4. Let o be (-1 + -1 - 0) + 5. Suppose 0 = -o*m - 3*k - 12, 5*k = 5*m + 2 + 38. What is p(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75029\/4719 less than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5*l**2 - 2*l + 6. Let p be j(5). Suppose -138*n + 141*n - 200 = 4*v, 150 = -3*v - 2*n. Which is the nearest to 1\/3? (a) p (b) -2\/15 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.55741 milligrams in nanograms?\nAnswer: 3557410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-5) + 22332*1\/30.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.826 rounded to zero dps?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130264 (base 8) to base 7.\nAnswer: 245612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15156768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 5*z**2 + 6*z + 5. Let s be u(-6). Suppose -138 = -s*y + f, 0 = 5*y + 2*f - 66 - 78. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7107461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 15. Let b = c + 17. What is the greatest common divisor of b and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27551 is divided by 6768?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(4\/5)\/a)\/(a\/(a*a*a**(-1\/7)*a)))\/((a**0\/a*a*a)\/(a**(-4)\/a)))\/(a**(-1\/8)*a*a**(-1\/3)\/a*a**(-2)\/a**7) assuming a is positive.\nAnswer: a**(4297\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10)*3\/(-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (5 - 8 - -10)) + -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 84*w**2 - 105*w + 522.\nAnswer: 3*(w - 29)*(w - 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -70*8\/(-32)*10\/35. Which is greater: n or -63?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*w + 504341, w - 5*p = -2*w + 378242. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 8*i - 1. Calculate b(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 7*z**2\/2 + 54*z - 143. Calculate the remainder when b(0) is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v**2 - v - 3. Let m be i(3). Suppose -m - 2 = -n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -3650.\nAnswer: 57\/3650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9204 + 9261 + (-1 - 34)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723164003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46.4 + -47.4. What is the closest to -0.092 in x, 1, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 6:01 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 27 + 27 = 0. Suppose -3*x = k*v - 7*x - 3935, -3*x + 2629 = 2*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -2)\/((-7)\/7). Solve 4*z - 20 + 0 = o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(1 - -1)\/4. Let p be (0 - -1) + -1 - -4. What is the closest to t in -3, p, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = 9. Suppose -4*d = -2*d - 50. Suppose 0 = k + y*k - d. Solve -v + 5 = -5*q, 0 = -0*v - v + 3*q + k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - o - 3. Suppose 5*c = 12 - 2. Let h = 5 - c. Let x be y(h). Solve -6*j + 9 = -3*j, -4*m - x*j = 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 - (2 - -2)) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36349, 72724, 109099, 145474, 181849?\n\"Answer: 36375*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) 6 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65436 is divided by 16353?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f + 8. Let x be f - 2 - (0 - -1). Which is the second biggest value? (a) -4 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)\/(r*r**(5\/6)))**8*(r**2*r\/(r*r**(-3\/4)))\/(r**2*r*r\/r**(-2\/13)) assuming r is positive.\nAnswer: r**(-1883\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546065 and 13650?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 30?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1711 + 1711.3. Sort -7, 4, i in descending order.\nAnswer: 4, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*y + 7 = 0, 2*y = -2*f - f - 12. Is 1082\/4 - f\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5037\/1254 + (-4 - -1). Let b = l + 61\/22. Let -972\/19*i**2 + b*i**3 - 2\/19*i**4 + 5832\/19*i - 13122\/19 = 0. Calculate i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.156 + -2.156. Which is the third smallest value? (a) -3\/5 (b) i (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/44)\/(9\/20)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 - 1) - (-892 + 880 - (0 - -61)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 2*b**3 - 2*b**3)*(4 + 5 + b - 4).\nAnswer: -2*b**4 - 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.0089 - -7. What is i rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-0.5496782\nAnswer: -0.7496782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 121. Let y = -27 - f. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227277 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.145181998.\nAnswer: 0.0580727992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -27, 480.9, 17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2782.95696us?\nAnswer: 0.00000000460145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5, -12\/13, 6\/5 in descending order.\nAnswer: 5, 6\/5, -12\/13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -5 (c) 8\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 + (-114)\/(-27). Let s = 14 + -8. Let k = 335 + -334. Sort c, k, s in descending order.\nAnswer: s, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 3*j + 1. Let r be q(-4). Solve r*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -0.0644502065735.\nAnswer: -0.0344502065735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21*(-3 + 15\/9). Let n be (y\/(-8) - -3)\/((-2)\/(-20)). Let b = 130 - n. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(-2 + -4 + 4)\/4. Let k be -3*(-1)\/(504\/(-164) - -3). Let l = -38 - k. Put w, l, 40 in ascending order.\nAnswer: w, l, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22777, 22423, 21839, 21031, 20005, 18767, 17323, 15679?\nAnswer: 13841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 i when four letters picked without replacement from {i: 2, b: 4, q: 4, h: 4}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 6:39 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6370799 days in hours?\nAnswer: 15.2899176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -199. Let u = c - 76. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 17*m + 18. Let b be l(-1). Let q(c) = -c**3 + 6*c**2 - 4*c - 3. Let w be q(5). Let t be w - (1 + (-2 - -2)). Solve -d + b - t = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2068985*i**3 + 19871030 wrt i?\nAnswer: 6206955*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96176, 192359, 288540, 384719, 480896, 577071?\nAnswer: 673244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -5 (b) 0.1 (c) -828 (d) -0.1 (e) 4\/3 (f) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 5*f**3 + 0*f**3 + (3*f - 3*f - f**2)*(0 - f + 0) + f**3 - 4*f**3 + 4*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7279 - 31015 = -6*y. Does 46 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11*(-5)\/15*-6. Solve a = 2*r + 30 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qujmyjqvmqjymjvv. What is prob of sequence qumy?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 644159 > 644160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 17*o = -12. Suppose o*d + f - 4 = 2*f, -16 = -4*f. Solve 3*a - z + 10 = -3*z, -a + d*z + 10 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from ejfjfkjgjff?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sliunnd. Give prob of sequence ndn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - 0.4. Let b be 48\/(-45) + 2\/5. Sort 0.2, b, z in decreasing order.\nAnswer: z, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591 = -35*j + 9*j + 186 + 3 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (81\/(-1458))\/(913\/332)\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.830252 rounded to 1 decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1343 and 30182582?\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 5*b**7\/42 + b**6 - 13*b**5\/2 + 5*b**4 + 125*b**3\/6 - 45*b**2 - 57*b - 2. Determine d, given that v(d) = 0.\nAnswer: -9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -147, -146, -143, -138, -131, -122, -111?\n\"Answer: r**2 - 2*r - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3175 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -g - 0*g - 8, -4*i = -4. Let b = g - -26. What is the remainder when 61 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -0*l. Suppose -3*a + 7 = 1. Suppose a*s + 2 = -0*s + f, -s - 3*f = -6. Solve -g + s*g = 3*q - 8, 0 = l*g - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/4)*74\/370*140\/20.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k + 8. Let g(s) = -2*s + 2. Let c(r) = 4*g(r) - l(r). Let p(b) = -16*b. Let x(o) = 17*o. Let d(t) = 3*p(t) + 2*x(t). Calculate c(d(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**5 + 0*b**5 - b**5 - 2*b**5 + 5*b**5 - 2*b**5 + (2*b**4 + 5*b - 5*b)*(-2 + 2 - 2*b) - 3*b**3 + 3*b**3 - b**5)*(28 + 34 - 65).\nAnswer: 18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/299*2\/6. Which is the closest to 0? (a) 0 (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b**3 + 28*b**2 - 9*b + 26. What is f(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 34 + 21 = 0. Let t = 86 + o. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 394.1271ms?\nAnswer: 0.00000456165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -2\/3, 28366, -1\/2, 50?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/2))**(-48)*(b**10*b)\/(((b**(-12)*b*b)\/b)\/b))**(-42) assuming b is positive.\nAnswer: b**2058","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:35 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -415*g - 431. What are the prime factors of y(-8)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95695 is divided by 517.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 19*r**2 + 6*r - 4. Let q(l) = -37*l**2 - 11*l + 8. Let v(f) = 11*h(f) + 6*q(f). Find the first derivative of v(k) wrt k.\nAnswer: -26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - 70. Let r = 153 + v. Let a(j) = 22*j**2 - j - 1. What is the least common multiple of r and a(-1)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3\/3 - 3*q**2 + 14*q + 14. Let c be w(2). Suppose 9*g + c = 24. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3078730 to the nearest ten thousand.\nAnswer: -3080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9493963 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 4*k + 22, 3*p - 5*k + 19 = 0. Solve 3*q - 2*q = -4*l + 6, -2*l + p = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6116192, 12232389, 18348586, 24464783, 30580980?\n\"Answer: 6116197*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**2 - 2389*u - 82839. What is a(330)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -7*i**3\/3 + 23*i**2\/3 - 25*i\/3 + 3 = 0.\nAnswer: 1, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:28 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/4*40\/15. Suppose 5*k = k + g. Suppose 0 = -k*d - d. Solve -3*a + 0 - 6 = d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -2 (c) 0.2 (d) 1151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.82 in -1\/7, 3, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 61.916 (b) -9 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -86674 divided by -5\nAnswer: 86674\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 130*d**2 + 1507*d**2 + 373*d**2 + 96*d**3 + 759*d - 18*d**4 - 8951*d - 131072 + 934*d**2.\nAnswer: -2*(d + 8)**2*(3*d - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-76)\/68 - -4 - (3 - 0). Which is the smallest value? (a) 1.7 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 73*o + 8. Let v(m) = -m**3 - 5*m**2 + 1. Let d be v(-5). List the prime factors of l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - g = 465874, -26*g = -4*z - 27*g + 1863481. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - (-47 + -6 + 22 + 28)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 2. Let y(i) = -i**3 + 12*i**2 - i + 15. Suppose -5*r = -18 - 42. Let l be y(r). Let p = l - 5. Give o(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 33*w - 19. Let z be f(14). Which is greater: z or 457\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 17. Let r be x(-15). Let h = 45 + r. Solve -5*b + t - 4*t - 9 = 0, 5*b - t + h = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2\/15*14395\/83491?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 4. Let w(g) = 3*g - 4. Let k(b) = 4*c(b) + 3*w(b). Calculate the least common multiple of 1 and k(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 6*b - 1. Let p = 442 - 438. What is k(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 498248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 837 - 865.993. Let s = t + -0.007. Which is the third smallest value? (a) s (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.022 - 12. Let w = 0.57831 + -0.6. Let y = g + w. What is y rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 31. Let t be o(17). Let l be (6 - (8 - t))\/((-2)\/(-10)). Suppose 0 = p - 32 - l. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-9) - 3551\/(-4770) - (-74)\/20. Solve -l*y + 9 + 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*i + 47984*i**4 - 47983*i**4 + i - i**2 - 21*i**3 - 22*i**3 - 5*i to b*i + o + x*i**2 + j*i**3 + z*i**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = l + 7, 5*l - 5 = 2*w. Suppose 2*f = f + w, 2*m = -5*f + 55. Suppose b = -x, 2*x + 4*b - 5 = -m. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1224*f**3 - 1237*f**3 - 1196*f**3 - 1203*f**3 + 4807*f**3.\nAnswer: -53*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -14*i - 27 + 14 + 12. Let n = -403 + 404. What is p(n)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305537 is divided by 61025?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c**2*n**2*w**2 + c**2*n**2 + 67008*c**2*n*w**2 - 5*c**2*n*w + 7164*c**2*w - 5*n**2 wrt w.\nAnswer: -22*c**2*n**2 + 134016*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2. Let z(w) = -3*w + 9. Let d(j) be the second derivative of j**3 - 21*j**2\/2 + 3*j - 8. Let r(t) = -6*d(t) - 13*z(t). Calculate i(r(s)).\nAnswer: 36*s**2 + 216*s + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 44187136 divided by -197264\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -250 - -254. Sort 0.2, 7, 0, a in decreasing order.\nAnswer: 7, a, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12951383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - (-83 + (22 - 13)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381.785 nanograms to grams.\nAnswer: 0.000000381785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017326 to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036672 rounded to 4 decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 143212*25\nAnswer: 3580300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(2\/17)*f)*(((f\/((f**7\/f)\/f))\/f)\/f)\/f*(f**5)**(-30) assuming f is positive.\nAnswer: f**(-2671\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 39 - (-53 + 8 + 40)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0122, 4, -5, 5, -1\/5 in decreasing order.\nAnswer: 5, 4, 0.0122, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let i(y) = -539*y**2 - 3. Give r(i(l)).\nAnswer: -539*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/4, 0.4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.66 and -253101.322.\nAnswer: -253100.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110668 = -m + 2*h - 5725, 0 = 5*m - 3*h - 524708. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 329 + -125. Calculate the highest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4892 (b) 3 (c) 3.45 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/134 - -125\/1206. Let q(k) be the first derivative of -1\/3*k**2 - b*k**3 - 1\/3*k - 1. Factor q(n).\nAnswer: -(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -684 + 124. What are the prime factors of 2 + -8 - x - 6?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76384 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 9:49 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 192, 161, 100, -3?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1561822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -339 - -334. Put 7.4, -3\/2, 0.2, d in decreasing order.\nAnswer: 7.4, 0.2, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -6. Let n(j) = 1 - c*j**2 - 1 + 14*j**2. Let i(p) = 2*p. Determine n(i(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 6 + -3 + 193.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 32 - 149. Suppose -15 = -3*p - o. Let l = p + 17. Solve -l = 3*j, 3*u + 14 + 1 = -5*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14899 (base 15) in base 8?\nAnswer: -201025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 330 = -23*t. Suppose -g - j = g - 5, j = 3. What is the tens digit of -6 - -6 - (1 + t*g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 times 0.46?\nAnswer: -138.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -139. Let w = z + -34. Calculate the remainder when w is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/5))\/k*k)\/k)**(-3)*(k\/((k*k**4)\/k))\/k*k*k**4*k*k*(k**(-2\/7))**(-2\/53)\/(k*k*k\/(k**(-2\/3)*k)*k)**(-29\/4) assuming k is positive.\nAnswer: k**(632053\/22260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (7 - 1 - (-8 + 14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)\/c)**(-23)*(c*c**7*c*c)\/c**0)**48 assuming c is positive.\nAnswer: c**1308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -336852878*v**3 + 5536415*v**2 + 8*v - 3 wrt v.\nAnswer: -2021117268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 6\/(-10) - 14\/35. Suppose b = -4*m + m + 603. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**4 + 4*n**4 + 2*n - 3*n**4 + 9)*(0 + 0 + 2)*(-6 + 2 + 1) as l*n**4 + r*n + s*n**3 + w*n**2 + a and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 197770740 a multiple of 789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -324895592593 + -1.\nAnswer: -324895592594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 51. What is the least common multiple of 33 and o(-7)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2305770 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n + 0*c + 25 = -30*n - 24*n + 5*c, n + 6*c = 62 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**4 + 4*g**4 - g**4 + (-g - g + 0*g)*(1 + 3*g**3 - 1) to the form n*g + i*g**2 + b*g**4 + r*g**3 + k and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58.1 - 61.1. Which is the second biggest value? (a) h (b) 1 (c) 23 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 - 112310*x**2\/3 - 374300*x.\nAnswer: -2*x*(x + 10)*(x + 56145)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 6*r + 1. Suppose -w - j + 8 = r, -5*j = -5*w + 15. Let l(f) = f - 4. Calculate l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*(60 + -110) - (1 - 8). Let v(b) = b**2 + 18*b - 6. Determine v(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 4*g**2 - g + 2. Give k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/56*7\/2. Suppose -21 - 1 = -c*o. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 less than 276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-30)*(-35)\/2. Let m be 4\/u - 111\/(-21). Suppose 4*b + 13 = m*o, 5*o = 5*b + 10 - 0. Solve -4*z + f = o, z + 3*f + 8 = f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7 - 1 - 4*x**3 - 17*x**2 - 2. Let m(c) = c**3 - c**2 - c. Let z(l) = -5*l**3 + 10*l**2 + 6*l - 1. Let j(u) = 6*m(u) + z(u). What is 9*j(a) + 2*q(a)?\nAnswer: a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 2*g. Let i be u(-3). Is 2 a factor of (-5)\/((6 - i)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 3*z - 4*z**4 - 7*z**4 - z**4 + z**4 + (-z + 0*z - z)*(-z**3 + 3*z**3 - 4*z**3) + 0*z - z**4 + 0*z + (-z - z**3 + z)*(0*z + 3*z - z).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 8:37 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70880 is divided by 489.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(891) + 2)**2*4*6 + (-2*(-1*sqrt(891) + 3))**2*-1.\nAnswer: 1944*sqrt(11) + 39362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1173, 1187, 1193, 1185, 1157, 1103, 1017, 893?\n\"Answer: -m**3 + 2*m**2 + 15*m + 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3033898*f - 12135608. Determine i(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-13 - 0) - 3) + (6 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (164 - 98 - 20)*(f**2 - 2*f + f - 5*f**2) in the form t*f + y + b*f**2 and give b.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*j + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + 4*n**3 - 10*n**3 + 3*n + 4*n**2 + 4*n**3 - 4*n**4.\nAnswer: -n*(n - 1)*(n + 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 821730 and 882.\nAnswer: 2465190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*x + 106*x - 63280. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 2\/3*s**3 + s + 0 + 0*s**2. Let m(z) = 3*z - 2*z + z. Determine x(m(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) 0.05 (c) -24.78 (d) -5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by -33726.\nAnswer: 17\/5621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 46\/253*88\/(-32)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) 2090 (c) -3 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**9\/1080 + b**5\/40 + 19*b**4\/12 + 9*b. Let h(j) be the third derivative of m(j). What is the derivative of h(r) wrt r?\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/6 + 5\/3*p**4 + 5\/2*p - 5\/2*p**3 - 5\/6*p**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31*1170\/225680)\/((-6)\/7))\/(6\/(-584)).\nAnswer: 73\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3606856 weeks in microseconds?\nAnswer: 218142650880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 56901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m. Let n(r) = 7*r**2 + 41*r. Calculate n(g(s)).\nAnswer: 343*s**2 - 287*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x\/x**(2\/17))\/x*x*x*x**2\/x)\/(x**(-2\/7))**(1\/2) assuming x is positive.\nAnswer: x**(598\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*c, 0*m + 4*c + 10 = -3*m. Let r(s) = 4 - 4*s**2 - 6*s**m - s**2 + 6*s**2. Let j(g) = -4*g**2 + 3. What is -3*j(k) + 2*r(k)?\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 407*b - 8. Let g(d) = -d**2 + 2*d + 2. Give -4*g(m) - q(m).\nAnswer: 2*m**2 - 415*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, -59, -255, -561, -977?\n\"Answer: -55*w**2 + 79*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:29 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbqbbbbqbb. Give prob of picking 2 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1643739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17868523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 5560.\nAnswer: 3\/5560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (2\/(-6))\/((-2)\/(-18)). Suppose 32*j - 30*j - 796 = y. Let u = 557 - j. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Suppose -v - 35 = -6*v - 3*c, 28 = 2*v + g*c. Let b be 7\/2 - 11\/22. Solve -v*w + 7 = -3*f - 0, -5*f = 2*w + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 12 - (-36195)\/(-18240)*1*6.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**1\/(p*p**(-3)\/p*p)*p**6*p*p*p\/p**(-6) assuming p is positive.\nAnswer: p**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173 + 176. Let k be 380\/120 + (-2)\/i. Factor 45\/2*s**4 + 10*s + k - 5*s**2 - 30*s**3.\nAnswer: 5*(s - 1)**2*(3*s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -470\/3, 44, 0.05, 24 in decreasing order.\nAnswer: 44, 24, 0.05, -470\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2827 - -2636. Does j = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*z - o - 2, 3*z + 5*o + 10 = 0. Suppose z = 28*p - 32*p + 24. Solve 8 = -8*w + p*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18390 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/10)\/(2\/(-20)). Let y = v + 34. Let z = -13 + y. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4*(-39)\/234\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046830099 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-13 - (-6 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*f = 10, 0 = -3*h + 3*f + 2*f + 23 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17 - -14 - (4 + 78\/(-11)). Put 2, 0.3, n, -0.2 in decreasing order.\nAnswer: 2, 0.3, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 2*c. Let o be (8\/12)\/((-6)\/531). Let x = 187 + -245. Let u = o - x. Let i(j) = -j. Determine u*v(w) + 2*i(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asa when three letters picked without replacement from ddsdaiwddaqqddd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 568*b + 1969. What is h(-3)?\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*v, -2*q - 2*v + 19 = q. Let p = 4 - 0. Suppose x - p*x = 0. Which is the third smallest value? (a) x (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1404))\/(sqrt(3) + (sqrt(3) - (sqrt(3) + -3*sqrt(432)))).\nAnswer: 18*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 less than 385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 13. Let c be z(9). Suppose -4*o + 7 + 12 = -3*l, -4*o + 24 = -c*l. Let q(s) = -s**3 - 6*s**2 - 4*s + 4. Calculate q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 69*(-9)\/(-18)*2. Is l at least 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3824 - 65*u**2 + 131*u**2 - 36*u + 3813 - 65*u**2 + u**2 - u**2 - u**2 + (3*u**2 - u**2 - u**2)*(-2 - 3 + 3).\nAnswer: -2*u**2 - 36*u - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4613658 times 171?\nAnswer: 788935518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 5, e: 2, k: 7}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 346\nAnswer: 3\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 142 - (-2 + (4 - 0)). Suppose -19*h + 14*h = -q. Suppose 5*n - 22 = r - 0*n, r = -5*n + h. Solve z + r*z = 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(34\/24))\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**16*q*q)\/((q**(-23)*q)\/q)*(q\/(q\/(q**(-2\/53)\/q)*q*q*q))\/(q**(-1\/10)\/q*q))**(-40) assuming q is positive.\nAnswer: q**(-78572\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + p**4 - 139 + 139 - 4*p**4.\nAnswer: -3*p**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (3 + 1 + -2). What is the units digit of (-120)\/(-21) + t\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/4 - 5*t**3\/4 + t**2\/4 + 5*t\/4 = 0. Calculate t.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 12*u**2 - u - 15. List the prime factors of t(-6).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 184 = -328. Let d be (1 - 11\/9) + (-32528)\/72. Let w be 12\/(-42) - d\/14. What is the greatest common divisor of s and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 + 50)\/(280\/49 - 5).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from {d: 13, q: 5, r: 2}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 615\/1435 + 155\/(-329).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:16 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27739 is divided by 3216?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 2*k + 1. Let a(d) = d**2 - 9*d + 13. Let q(l) = a(l) - 2*m(l). Calculate q(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times 0.908?\nAnswer: -25.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 3. Let g be v(6). Let w be (-8)\/(-36) + 11\/g. Let j = 0 - 2. Which is bigger: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5945008921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 4*j + 8. Let z be x(-6). Suppose -r = 1 + 1. Put -3, r, z in descending order.\nAnswer: r, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -2. Let x = 0 - g. Let q be ((-70)\/70)\/(7\/(-3)). Which is the nearest to x? (a) 3\/5 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - 9 - (-17 - (-15 + (1 - 17))))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 20*x. Let b(w) = -17*w**2 - 28*w**2 + 101*w**2 - 16*w**2 - 24*w**2 + 3. Determine t(b(c)).\nAnswer: 320*c**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*d**2*k - 25*d**2 + 41*d + 2*k wrt d.\nAnswer: 26*k - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 2178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 3 (c) 4 (d) 470\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054708991 rounded to four dps?\nAnswer: -0.0547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.07557 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (11 - (-4)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3083, -24\/19, -4, -3\/2, 2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 246, 4 in descending order.\nAnswer: 246, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.893 + -2.03. Round g to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 10:38 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3426811 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 114\/27 + (-8)\/36. Let x be r - 8\/(-4 + 8). Factor 0*a**2 + 3*a**x + 4*a - 2*a**2 + 3.\nAnswer: (a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104811650.\nAnswer: 2, 5, 2096233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.24 + -9.94. Let a = 8.8 + v. Let z be 0 + (2\/(-2) - -1). What is the nearest to a in z, 3\/4, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*h - 3*p - 15, -p - 4 = -0*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 3*w**2 - 4. Let f = 4 + -1. Suppose f = 2*u + 5. What is k(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102124 is divided by 51028.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3 + 2009876*x**2 - 252476100896*x + 252474091024 = 0.\nAnswer: 1, 251234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3*c + 25 = 0, -5*j - 24 = -3*j - 4*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -38*u**5\/5 + u**4\/4 + 511*u**2 + 1378*u. Differentiate z(g) with respect to g.\nAnswer: -456*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29830*b - 98596\/5 + 628\/5*b**4 + 2\/5*b**5 - 1888\/5*b**2 + 49292\/5*b**3 = 0. Calculate b.\nAnswer: -157, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) - (550\/(-99))\/(4\/6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(425))*5)**2 - (1 + sqrt(425) + sqrt(425) + 2).\nAnswer: 240*sqrt(17) + 10647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*h - 23*h - 4*h + 45*h to the form y*h + i and give y.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 2. Let o be ((-2)\/(-8))\/(1\/(-4)). Let m(h) = 1. Let i(j) = o*s(j) - 3*m(j). Suppose 2*a - 4 - 2 = 0. Determine i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 939, 937, 957, 1011, 1111?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*t = -9, -3*t = 2*f - 3*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*v - 50 = 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*i**5 + (2*i**2 - 2*i**2 + 2*i**3)*(3*i**2 - i**2 - i**2) + 0*i**5 + 3*i**5 - i**5 + (10*i - 6*i + 11*i)*(-2*i**4 + 3*i**4 + 0*i**4).\nAnswer: 22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -34*n + 21. Suppose -6 - 14 = 4*z. Is r(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661*v - 828*v - 141*v - 32760 = -370*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -46\/3*m**3 + 0 - 41*m + 0*m**2 - 1\/3*m**4. Factor u(p).\nAnswer: -4*p*(p + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 4\/(-7) - (-365693)\/133?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 9*y - 18. Let j be p(-4). What is the second derivative of 10*c**j - 10*c + 19*c + 10*c**2 wrt c?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3493 and 16467?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*v + 702*v + 4213 = 481*v - 12557 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -10. Let a = -15 + 11. Let f = -17 + 16. What is the closest to k in -4\/9, a, f?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*m + 2 = -3, 3*a + 4*m = 0. Suppose 15 = 3*g, -5*g + 15 + 13 = l. Suppose 0 = -0*j + j + 3. Put l, a, j in decreasing order.\nAnswer: l, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 52404?\nAnswer: 52415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a = 31*a - 112 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/147)\/(1\/(-7)). Solve -q - f*q + 10 = -2*b, 2*q - 7 = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-20)*-14)\/((-1)\/134). Let k = r + 827. List the prime factors of k.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 18*d**3 - 2*d**2 - 8. Let u(o) = -19*o**3 + 2*o**2 - o + 7. Let t(f) = -5*l(f) - 6*u(f). Find the second derivative of t(i) wrt i.\nAnswer: 144*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 64 = 4*d, -2*v - 34 + 103 = 3*d. Suppose j - 41 - 22 = 0. Calculate the greatest common factor of v and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 - 8 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -4, -67, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/75*4\/((-80)\/15)*-35.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**3 + 954075*z**2 + 1908135*z + 954065 = 0. Calculate z.\nAnswer: -190813, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9439*a**2. Let h(n) = 6*n**2. Give h(d(u)).\nAnswer: 534568326*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90870 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 24 = f, -4*f - 2*p = f - 30. Suppose -f*n - 2 = -18. Let b be 4 + (-5)\/(10\/n). Solve 5*u - 2*c = -3 - 5, 0 = b*u + 2*c - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-2*39\/52.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmygggsmgmmmmgymsm. Give prob of picking 3 g and 1 m.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -734, -731, -726, -719, -710?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*x + 6485*x**5 - 176 + 575 - 109 + 3*x**2 - 182 - x**2 wrt x?\nAnswer: 389100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*z + 1664 = -878. Solve -29 - z = -12*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80021641 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 5*u + 310, 3*m - 187 = 4*u. Suppose 3*c = 4*s - 24 - 11, -4*s + m = -5*c. Let v = c - -20. Solve -4*j - 27 + v = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 328 + 154. Let w = -464.52 + i. Round w to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 1489 = 135. Let w = x - 192. Calculate the remainder when w is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 31.4. What is the third biggest value in 1, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*j - 4*j + 2*j + (0 - 3 + 2)*(2 + 3*j - 2) + 0*j + j - 3*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 12252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/27953 (b) -0.4 (c) 196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**5\/2 + 2*b**4\/3 + 6*b + 4. Let s(c) be the first derivative of h(c). Find the third derivative of s(o) wrt o.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 15) to base 5.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 73.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 2*x**9\/63 - x**8\/168 + 11*x**6\/24 - 3139*x**5\/12 + 9372*x**2 - x. What is the third derivative of c(d) wrt d?\nAnswer: 1920*d**3 - 120*d**2 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -386 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4010 and 523610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 316 = s - 237, 0 = -5*j + 2*s + 559. Suppose 4*x = x + j. Let u(v) = -v**3 + 6*v**2 - 2*v - 2. Calculate the remainder when x is divided by u(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7172776 divided by 13.\nAnswer: 551752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziuzizizzgoiioi. Give prob of picking 1 u and 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63473 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -4769.8.\nAnswer: -5246.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 180, 505, 1048, 1809, 2788, 3985, 5400?\n\"Answer: 109*z**2 - 2*z + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4413823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001066622439 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1)\/((-4)\/10)*36\/45 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 15*n**2 - 8 + 13 - 13*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/1530 and (-541554)\/3006450 - ((-2)\/(-17) + 0 + 0).\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 0.478?\nAnswer: 9.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 4) + 2 - 3) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 741, 5650, 18973, 44916, 87685, 151486, 240525?\n\"Answer: 701*y**3 + y**2 - y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 2*z + 11. Calculate r(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1792*i - 46380 - 15176 = 393*i for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 62 + 0*p + 2*p + 4*p**2.\nAnswer: 9*p**2 + 2*p + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1151 - 1156 + b - 1153 + 3460.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*l = 11, 941 = -4*h - 2*l + 957 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 135*b**4\/4 - b**3\/2 - b**2\/2 + b. Suppose 5*s + 25 = -0*s, 3*t = -4*s - 23. Is n(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6021 and 2901453.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 2, 1\/5, 2\/59 in descending order.\nAnswer: 2, 1\/5, 2\/59, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 212 = -5*t, 5*t - 6*v = -4*v + 206. What is the remainder when 239 is divided by t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/1008 and -61\/864.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - (-770)\/21. What is the highest common divisor of 222 and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4225934 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/8, -4\/5, 4, -17?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - f + 8*f + 94*f**3.\nAnswer: 94*f**3 + 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 15*g - 2. Let n be o(15). Let k be n + 0 + (-1)\/((-2)\/5). Which is the third biggest value? (a) 4 (b) k (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 90 = 0, -6*w + 11*w - 28*t + 57 = 6*w - 31*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(1300)*-1 + -1*sqrt(1300) + 3)**2 + -1*(0 + sqrt(13) + sqrt(13)) + sqrt(39)\/sqrt(3) + 2.\nAnswer: -41*sqrt(13) + 5205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 29 + 31. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from {c: 1, h: 1, z: 2, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1411.47768 - 57.18048. Let f = -965.2789 + s. Let z = f - 389. What is z rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9168082 and 4827?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 2*q**2 + 0*q**5 + 0*q - 1\/105*q**7 + 0 + 1\/8*q**4 + 0*q**6 + 0*q**3. What is the second derivative of r(v) wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -4*w + 5*w + 1, 4*s = -8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388688997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 6*f**2 + 11*f + 5. Let h = 101 - 109. Give g(h).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 572, 3, 1966.\nAnswer: 3, 572, 1966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 100, -5, 2, -3, -1.\nAnswer: -5, -3, -2, -1, 2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from dtofdnlf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904*l**2 + 0*l - 452*l**2 + 0*l - 449*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102303 - 0?\nAnswer: 102303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 122232 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 8.172.\nAnswer: -4.9032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -28*v - 10. Let g(u) = -u**2 + 72*u - 2. Let i(k) = k**2 - 36*k + 1. Let f(q) = g(q) + 2*i(q). What is f(r(o))?\nAnswer: 784*o**2 + 560*o + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = x - 2*x + 3501, 3*y = -5*x + 2083. Suppose y = -15*r + 3671. 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: Find the common denominator of 67\/27450 and 79\/13442850.\nAnswer: 820013850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936349 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 3b7?\nAnswer: 3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 - (-364)\/(-18). Let l be (-1)\/(-2*2\/b). Is 52\/(l\/(5\/(-2))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.59\nAnswer: 0.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 19*p - 53. Let u be o(-5). Suppose 5*c - 7 - 3 = 0. Let s be (c - (1 + 11)) + 1. Which is greater: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252738 divided by 6.\nAnswer: 42123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ded when three letters picked without replacement from dedesesdedes?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127442 is divided by 4247?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103619816221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 + 6 + -1 + -4 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - v - 12 + 19 + 12. Let y be q(8). Which is the nearest to 1\/6? (a) -3 (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 149068789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10952 rounded to 3 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113539 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408 - -0.9.\nAnswer: -407.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5710 - 5574. Solve 62*o - 45*o = -j for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205917782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 3*y + 80. Suppose 2*f + 5*r + 12 = 0, 2*f + y = 3*r - 7*r. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1119 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 14374035 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -431*t + 3515. Determine y(8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x**5 + 11330*x**4 - 688462*x**3 + 5254174*x**2 - 7732896*x - 13686912 = 0. Calculate x.\nAnswer: -1, 24\/5, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1388 and 29495?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12456183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*j + 85, -6 = -3*j + 5*k + 37. Calculate the highest common factor of 14 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31789459038 from 0.\nAnswer: 31789459038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16 - (-168)\/(-14)*-1. Let b = 466 + -196. What is the tens digit of 18\/(-27)*b\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Let a(j) = -80*j**2. What is a(m(l))?\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 - 129. What is the remainder when -3 + d + 1 - -71 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 747. Let d = f + -5891\/8. What is the common denominator of d and 17\/(-3) - 8\/(-36)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.6 (b) -182 (c) -35\/831\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkftjkjfjjfjrff?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132.99999893 + 133. Round n to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1820b (base 15) to base 9.\nAnswer: -128102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1009*f + 3773 = 1016*f. Calculate the highest common divisor of 49 and f.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3125 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 + u**3 - 17994*u**2 - 109472*u.\nAnswer: -12*u**2 + 6*u - 35988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/2)\/r*r\/(r**2\/r)*(r**(1\/2))**5*((r*r\/r**(-2\/7))\/r*r)**(-19\/3)*r**(-4)\/(r**(2\/19)\/r) assuming r is positive.\nAnswer: r**(-7015\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.399328 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -130374504 divided by -7331\nAnswer: 17784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**8\/1512 + 4*v**7\/945 - v**5\/27 + v**4\/108 + 2*v**3\/9 - 2*v**2 + 41. Let w(i) = 0. What is i?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 11*t - 17. Let o be r(-6). Suppose -34 = -2*y + 5*x, 0 = 4*y - 3*y + 5*x + o. Solve y - 3 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28529, 28537, 28557, 28595, 28657?\n\"Answer: o**3 + o + 28527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.049 (c) 0.3 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 2*v + 1. Calculate f(-7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxqmggxg. What is prob of sequence gxg?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 189*r + 1454. Give s(-8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2655a7 (base 14) to base 6\nAnswer: 44151411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t - 51. Let q be w(-18). Suppose 5*f - 5*d = 175, -q*f - 5*d = -7*f + 140. Solve 0*g + f = 3*v - 5*g, -g - 19 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 2*a + 41, 29*a - 51*a = -19*a - 9 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 5*j - 2. Let s be o(3). Let b(l) = l - 4. Let y be b(s). Let t = 1\/408 - -1219\/2040. Are y and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/24)\/(22\/(-4840)))\/(3\/9)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) - 1*(sqrt(66)*1 - sqrt(66))))\/(sqrt(60)\/sqrt(250)))**2 - ((sqrt(132) - 3*sqrt(132))*5)\/(sqrt(12) + sqrt(192)*-3).\nAnswer: -10*sqrt(11)\/11 + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + 0 + (-2*sqrt(1573)*1 - sqrt(1573)) - ((sqrt(1573) + 0 + -5)*-1 + -5))**2.\nAnswer: 44*sqrt(13) + 6289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67943*j**4*q**3 + j**2*q**3 - 66*j**2*q - 2*j*q wrt j.\nAnswer: 1630632*j*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*(r\/(r*r\/(r*r**(19\/4))*r*r))\/r*r)\/r)*r**(14\/5))\/(r**(-2\/9)\/r**(-18)) assuming r is positive.\nAnswer: r**(-3011\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5761835628.8797+-0.1\nAnswer: -5761835628.9797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = -n + 157022 + 158566. List the prime factors of n.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/(670\/402)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from {g: 2, m: 2, z: 1, a: 6, y: 6, t: 3}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 6*c + 21. Let g be z(-8). Solve 12 = 4*a + 5*h, 3*a - g*h = 8*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 15. Let z = v + 5. Suppose 5*x - 15 = z*u, 5*x - 13 = 12. Solve -m - u - 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 45. Suppose t = -0*n + 3*n. Suppose -4*o + 5*z + 21 = 0, -n*o + 8 + 7 = 5*z. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73686 divided by -30\nAnswer: -12281\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6705 is divided by 2141?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -1 - (-8 + 3 + 14 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 3 - 2)*(3*p + 0*p - 2*p)*(347 - 347 + 107*p).\nAnswer: 1819*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-265))\/((-7528)\/4705)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:52 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 137 - 11. 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: Let l = 3.8 - -0.2. What is the closest to -6 in -0.1, l, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/((-108)\/(-8))*-3 + 3. Is (0 - a)*2 - -1673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/296010 and -113\/45540.\nAnswer: 592020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -1 - (-11 - -26 - 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 183*q - 8385. Give n(91).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 2*r - 5. Let h(s) be the third derivative of 0 + 0*s - 1\/6*s**3 - 8*s**2. Give 5*h(j) - y(j).\nAnswer: j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, y: 4, u: 4, k: 1, b: 1}. What is prob of sequence btyu?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/225 + 3\/(-54)*-4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7\/5 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11100010111111110100?\nAnswer: 11100010111111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1399 * -14\nAnswer: 19586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 15*c**3 + 27*c**2 + 21*c + 6.\nAnswer: 3*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 12:28 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -0 - 14. Solve -5*p - 2 = 2*z - 6*p, -q*z = -2*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21 + 17\/(-1) + 46408 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -344, -556, -770, -986?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 + 324*i - 3685 = 0. What is i?\nAnswer: -335, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 6\/7, 0.4, 3\/907?\nAnswer: 3\/907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10370 = -5*c + 54*c - 7724 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) 5 (c) 62 (d) -0.035 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 11:30 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {y: 5, t: 1, v: 5, x: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -x + 5, -x = 2*x + 4*z - 45. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j*s**3 + 151*j*s + 2*j + 308*s**2 - 16902 wrt s.\nAnswer: -3*j*s**2 + 151*j + 616*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 392*o**2 + 91*o - 33. List the prime factors of d(6).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5535*s - 5658*s = 8733 for s.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 235cd - 0?\nAnswer: 235cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1709545 months to centuries.\nAnswer: 0.00180912875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 140749090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 16, -0.4, 2\/7, 33?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -21, -5, -23, 1\/6, 0.07?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17343, -17342, -17341, -17340, -17339?\nAnswer: -17338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408868496 by -17.\nAnswer: -24051088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h - h)*(-352 + 644 + 483*h - 289 + 980*h).\nAnswer: -4389*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3 - 6) + 3 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -457 - -246. Let r = -211.3 - o. Suppose -u + 0 = -1. Which is the nearest to 1\/2? (a) u (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/551, 2\/15, -19, 2\/1021, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 481*o**2 - 5793*o + 272. Calculate l(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 7. Let b be -10*1\/2 + 3. Put b, -5, f in decreasing order.\nAnswer: f, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 6*p**2 - p + 6. Let m be z(-6). Suppose 2*a = -3*a. Let q be m - 12 - (0 - a). Solve q = -u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5 - -3) + -1 - (-21 - -28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(240) - 1*sqrt(240))*6 + -5*sqrt(240)*-1)\/(3*sqrt(25)\/(sqrt(10)\/sqrt(2))).\nAnswer: 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**4 - 5. Let t(h) = 9*h**4 + 6. Suppose -v - 2*v = 9. Let d(j) = v*t(j) - 4*y(j). What is the derivative of d(k) wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 6 = 12*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -25*h**3 - h**2\/2 + 4*h - 3. Let v be a(4). Round v to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, 35, 36?\n\"Answer: z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 210*z + 7106. What are the prime factors of u(-5)?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 39950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 divided by -5?\nAnswer: -348\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 11.8. Let j = d + -0.19956. What is j rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y - 28. Let d be n(-8). Suppose 16 = d*b - 32. Calculate the greatest common factor of b and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = 154 - 73 - 54 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*n - 4*v, 5*n + 3*v - 11 + 37 = 0. Let j be n\/14 - (-191)\/7. Suppose 5*g + j = 3*m, -5*m = -m + 2*g - 62. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3986485 and 44080?\nAnswer: 2755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(216) - (sqrt(24) - (sqrt(192)*-1 + sqrt(192))\/sqrt(8)))\/(sqrt(432)\/sqrt(36) + sqrt(48)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559358027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.1. Let g = -3530.5 - -3530. Which is the third smallest value? (a) -2\/5 (b) t (c) g (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -83\/15, 3\/2, -153?\nAnswer: -83\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*k + 32, 5*k + 23*f + 5 = 19*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u + 6. Let w(g) = -26*g + 1477. Give 4*i(s) - w(s).\nAnswer: -2*s - 1453","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1631, -1637, -1645, -1655, -1667, -1681?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9724 divided by -34.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*h + 190, 5*h + 13*j - 322 = 10*j. Let g(m) = 14*m + 1. Let i be g(-1). Let p = h + i. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 2672.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/4 - 3*w**4 + 53*w**3\/4 - 51*w**2\/2 + 18*w.\nAnswer: w*(w - 4)*(w - 3)**2*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -23. Let z = -0.04 - 19.96. Let v = l - z. Which is the second biggest value? (a) v (b) -1\/10 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38094305*0.1\nAnswer: -3809430.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.1 + 4.6. Let n = 317 - 617\/2. Let t = n + -35\/4. Is t greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -177 - (7 - 3 - 49) - -3.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -4, 4, -3.\nAnswer: -4, -3, 0.12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*p + 1. Let q(t) = t**2 + 8*t + 3. Let l be q(-8). Suppose l*d + d = 0. Sort p, d, -4 in ascending order.\nAnswer: -4, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -82, -80, -80, -82?\n\"Answer: -b**2 + 5*b - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 5) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1010 - 26*f + 1981*f - 1513 + 37*f wrt f?\nAnswer: 1992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0814 (b) -16 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -382, -382, -388, -406, -442?\n\"Answer: -a**3 + 3*a**2 - 2*a - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5\/9 (b) 33 (c) -17 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 19*x**3 - 1. Let m(j) = j**2 - 14*j + 14. Let g be m(13). Let r be v(g). What is the units digit of (-573)\/(-18) + 3\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4 + (-2 - 1 + 1)*(4 + 2 - 5))*(9*a**5 + a**3 - a**3).\nAnswer: -36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 64\nAnswer: -63\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 553398, 1106708, 1660018, 2213328?\n\"Answer: 553310*b + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 - 133.64. Let v = x - 9. Let l = v + -0.36058. What is l rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5453.\nAnswer: 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5919291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 74*u + 218. What is i(-11)?\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-7) + ((-196605)\/(-119) - -23). What is the highest common divisor of 402 and f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*m - 56 = 69*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -784*h**4\/5 - 7952*h**3\/5 - 26884*h**2\/5 - 6816*h - 2880.\nAnswer: -4*(h + 4)**2*(14*h + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:54 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -68.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2792357186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j. Let t(g) = 214446*g + 27398. Let c(l) = -1637*l - 209. Let s(f) = 1442*c(f) + 11*t(f). Give s(u(b)).\nAnswer: -9888*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138.8 + 134. Let o = a - -4.7. Let m = 0.2 + 1.8. What is the biggest value in -18, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23626*b**2 + 95296*b?\nAnswer: -47252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628704 divided by -59.\nAnswer: -10656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 141535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b - 2. Let w(g) = 33*g - 8. Let h(t) = -26*i(t) + 6*w(t). Calculate the lowest common multiple of 22 and h(-6).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 13*r**4\/4 + 20*r**3\/3 - 27. Find the third derivative of p(h) wrt h.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. What is the third smallest value in p, -0.5, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -722701501\/946 + 763955. Calculate the common denominator of k and 105\/22.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -320*f**2 + 121 wrt f.\nAnswer: -640*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 28, -2\/5, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 0.0507.\nAnswer: 0.4493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.93 - 3.93. Let j = 4\/41 + 25\/164. Which is the biggest value? (a) y (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/45 and -41\/190.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 5*x**2 - 15*x - 5. Determine f(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + -5)*-2*-2. Let u(h) be the first derivative of 2*h**3\/3 + 3*h**2 - h - 1. List the prime factors of u(v).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/12)\/((-2)\/4). Let q be -1*((o - 18) + 2). Let z be (-3360)\/(-208) - (-4)\/(-26). Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -274080694*g**2*v**2 + g*v**2 + 483*g - v**2 + 232*v + 37 wrt g.\nAnswer: -548161388*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5822657\/314 + 18545. Let u = r - 1\/157. Factor 0 + 3\/4*c**2 + u*c.\nAnswer: 3*c*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 105.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11228986, -11228985, -11228984, -11228983, -11228982?\nAnswer: -11228981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 10*v**3\/3 + v**2\/2 + 3*v - 65. Let p = 0 + -2. What is the units digit of w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1413974, 1414043, 1414112, 1414181?\nAnswer: 1414250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**8\/3360 + y**7\/630 - y**4\/24 - 3*y**2. Let j(z) be the second derivative of c(z). Factor j(u).\nAnswer: 2*u**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 5*q**7\/42 + q**6\/2 - q**5\/4 - 35*q**4\/12 + 10*q**2 + 253*q. Suppose p(g) = 0. What is g?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 124?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7966134 to the nearest integer?\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + j**2 - j + 1. Let i(d) = -53*d**3 - 6*d**2 + 6*d - 6. Calculate i(w) + 6*p(w).\nAnswer: -47*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1513*z**2. Let s(a) = 13*a - 1. What is s(o(m))?\nAnswer: -19669*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from qgq?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(2 + (-178)\/172*2). Suppose -3*i - 2*c + 0*c + r = 0, -97 = -5*i + 3*c. Calculate the remainder when 33 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 4:21 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*k + 87. Let r = k - 75. Round r to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1.26792 (b) -0.6 (c) 0 (d) 3\/7 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14687 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-22)*o*o*o*o*(o\/(o**(-11)*o))\/o*(o**(-3)*o)\/(o*((o*o**(3\/10))\/o*o)\/o) assuming o is positive.\nAnswer: o**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 5*(-5 + sqrt(208)*1))*4)**2*3.\nAnswer: -46080*sqrt(13) + 277248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 780.6 (b) 2\/17 (c) 3\/7 (d) -2\/27 (e) 2\/9 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 51*i + 232 + 5. Sort 4, -1, i, -10.\nAnswer: -10, i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(27\/357) - 4. Let a = c - -44. Factor 0*l**2 + 2\/3*l**3 + l**4 + 0*l + a*l**5 + 0.\nAnswer: l**3*(l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 579*q + 6615. What is a(-11)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*g = -19*g - 378. Solve -g*y = 5 + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 9*i - 4. Let d be w(-8). Let t(q) = -3*q - 6*q**2 + d*q - q. Give t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 10*i**2 - 2*i + 18. Let y be s(10). Let h be y*2\/(-4) + 2\/(-2). Let r = 1 - 2. Which is the closest to h? (a) 3 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.36 and -12166\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -836640.\nAnswer: 1\/119520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**2 - 19*f - 17. Let g(v) = -10*v**2 - 28*v - 25. Let o(p) = 5*g(p) - 7*k(p). Suppose -2*y - 4 = -y. What is o(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 + 4144*m**3 + 4164*m**2 - 16576*m - 16592 = 0 for m.\nAnswer: -2, -1, 2, 1037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697 <= 5697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffuggaffuuufuufeuuu. What is prob of picking 1 e, 1 a, and 2 f?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -302\/7 - -2521\/56. Calculate the common denominator of q and (46\/16 + -1)*136\/(-36).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 15, 15, 13?\n\"Answer: -a**2 + 5*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 31. Let v = -69583898 + 69583924.9999944. Let p = d - v. Round p to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:11 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 + 142602368*c**2\/7 + 142602366*c\/7.\nAnswer: 2*c*(c + 1)*(c + 71301183)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*i = -0*y + 14, 2*y - 5*i - 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13960?\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.8 rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25028*t**3 + 5066*t**3 - 64004*t**3 - 12079*t**3.\nAnswer: -96045*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*y + s + 4, -4*y + 4*s - 20 = 0. Let g = 111 - 111.13. Let p = 1.87 - g. Which is the nearest to -7? (a) p (b) 4\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/42 + 23*p**3\/21 + 24*p**2\/7 + 324*p. Find s, given that f(s) = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 855097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5 - 213*d**4 + 3132*d**3 - 11988*d**2 + 9072*d = 0.\nAnswer: -84, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2)*v)**25\/(v*v\/(v**1\/v)*v*v)**(6\/5))**(16\/7))**8 assuming v is positive.\nAnswer: v**(-19072\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**5\/30 - o**4\/24 + 3*o**2 + 2. Let a(h) be the second derivative of i(h). Find the second derivative of a(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 + 2 + -1)*-1. Let a(w) = 105871*w - 14 - 52933*w + 38 - 52940*w. Give a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from pxgxpppxgx?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9)**(-48)*(k**(1\/5))**(-50) assuming k is positive.\nAnswer: k**(-442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (1 - 0\/1). Suppose -3*m - 2*a = 21, -5*m - 2*a - 28 = 3. Let n be -5 + m\/(60\/(-44)) - -1. What is the third biggest value in 3, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a631 (base 11) to base 12.\nAnswer: -14747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, 5, -4, 2, 39 in increasing order.\nAnswer: -4, 2, 5, 39, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9416)\/32956 + (1 - (-312)\/14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 95. Let b = w + 71. Suppose b*u - 12 = 24*u. Solve -2*l + d = -0*d + u, 8 = 3*l - 5*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (3 + 60\/(-21) + 15972222\/(-3855222)). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12754326 divided by 5?\nAnswer: 12754326\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/12, -3, -1 in ascending order.\nAnswer: -3, -1, 1\/12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/(-396)*4*184\/345?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/7 + 1756*r\/7 = 0 for r.\nAnswer: 0, 878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 7587664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + 6. Let n be (s\/9)\/(6\/(5 + 67)). Let r(p) = -55*p + 0 - 2 + n*p. Determine r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3460580 divided by 5?\nAnswer: -692116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -59 - 18 - -56.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 + 2*n**2 + 2*n**2)*((4*n - n - n)*(-4 + 4 - 1) - 2625*n + 1236*n + 1270*n) to q*n**3 + j + m*n**2 + o*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e60b21 (base 15) to base 2.\nAnswer: -101001101110010010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8757 - 8760. Which is the third biggest value? (a) -0.7 (b) 3\/2 (c) -317 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11103 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 22*t**3 - 119*t**2 - 3*t + 5. Differentiate n(f) with respect to f.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 11*a**2 + 10*a - 15. Let c be x(-12). Suppose 4*l - 67 - c = 0. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 20 + (-13 - -1) + 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wucw. What is prob of picking 1 w and 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 7978739 and 7978740 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*x + 3*c, 0 = 5*x - 2*c + 2 - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2068\/49919 + -281321401\/179009534. Let r = f - 5\/326. Let o = 2105 - 23154\/11. What is the common denominator of r and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/17312 and -13\/4.\nAnswer: 17312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93.96 + -2.04. Let l = -877 - c. Let p = 781.000349 + l. Round p to five dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 2\/3*c**3 - 14\/5*c**5 + 2*c**2 - 2\/3*c**6 + 0*c - 3*c**4 + 9. Solve t(s) = 0.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(120))\/sqrt(6)*-5 + 0 + -4)**2.\nAnswer: -120*sqrt(5) + 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1599 = -2*f + f. Suppose -8*z + 6055 = f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -261 - -263. Suppose 5*p - b*v + 0*v - 381 = 0, 5*v - 395 = -5*p. Calculate the highest common divisor of p and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 416*n + 3911. Let k be o(-9). Solve 0 = 63*p + 211 + k for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26111 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -879*z - 861. Let m be r(-1). Solve m*j = -46*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -73, 2, 0.1, -0.4, -4?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000818064237 rounded to six decimal places?\nAnswer: -0.000818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 = 6*q + 181 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c + c**3 - 7 + 1 + 4 + 3 - 13*c + 18*c**2 to the form g + p*c**2 + m*c + d*c**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 + 4546800*k + 1292086890000 = 0.\nAnswer: -568350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2031 + -2926. Let z be 3 - (4\/6 + h\/(-345)). Are 1 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228 - 231. What is the fourth biggest value in i, -6, -1, 0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 1.2. Suppose -j + 72*j = -63*j + 19*j. Let q = 1.7 - 2. Which is the biggest value? (a) q (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/22)\/((-4)\/(-8)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4 + 0 + 5 + j**4 - j**2. Let z(x) = 4*x**4 - 4*x**2 - 8*x**4 + 5*x**4 + 3. Let u(a) = -3*i(a) + z(a). What is the third derivative of u(o) wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 > 258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2257*d**2. Let m(y) = -y**2. Give m(b(v)).\nAnswer: -5094049*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -193089 + 1391353. Let i = z - 8298264. What is i rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 105\/10 - 3\/2. Let q(n) = n**2 + 2. Let x(c) = 1 + 2*c + c**2 - 2*c. Let a(k) = -11*k**2 - k - 14. Let r(i) = a(i) + 6*x(i). Calculate d*q(f) + 2*r(f).\nAnswer: -f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*i + 9289 - 49 = -17*i. Let z = 56 - -10. Calculate the highest common factor of z and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.471 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -39.559*-29\nAnswer: 1147.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s - 5. Suppose 2*x = 20 - 8. What is the remainder when 37 is divided by g(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 + -5. Suppose o - 15 = 27. Let l be o\/i + 4\/10. Which is the second smallest value? (a) 0 (b) l (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 7 (c) -1\/2 (d) -1\/4 (e) 17 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 8, o: 4}. Give prob of sequence np.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 1, l: 2, v: 7, n: 1, j: 2}. What is prob of sequence bljn?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15627, 15629, 15631, 15633, 15635?\nAnswer: 15637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 763 + -543. Calculate the remainder when b is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -897579.9228 + 897249. Let g = -0.0772 + k. Let h = -330.743 - g. What is h rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 2*j + 15. Let u be (-97)\/19 + (-22)\/(-209). Let i be z(u). Suppose 0 = 3*l - 3*w - 66, i = -4*l - 3*w + 58 + 2. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -69377?\nAnswer: 69381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3856 or 3862?\nAnswer: 3862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 641*j - 639*j + 28, -4*j - 26 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4938121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/13)*(g*g*(((g**9\/g)\/g*g)\/g*g)\/g*g*g)\/g)**(-5)*((g*g\/(g\/(g*((g**(-1)\/g)\/g)\/g))*g)\/g**(3\/4))\/(g**(-5)\/(g**7*g)) assuming g is positive.\nAnswer: g**(-2315\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 9096 - 8892 - 22*h**2 - 3*h**2 as s + b*h**2 + o*h and give s.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 31 - (4 + (0 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11202 + -11210. Which is the second smallest value? (a) 0.8 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-12) + 5\/4. Let s be 0 - (0 + v)*-2. Suppose -l = s*l. Solve -5*n + l*n = -10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56302116 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 22. Let r be w(7). Let y = r - -27. Suppose -2*a - 3*a = -3*u + 46, -5*u + 5*a + 70 = 0. What is the highest common factor of y and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -273.48 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 561 by -51.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13563 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5117291999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 75225*f**2 + 1578336*f - 1653564.\nAnswer: 3*(f - 1)*(f + 22)*(f + 25054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + sqrt(847) + 0 + (sqrt(847) - (1*sqrt(847) + -2)**2) + 5 + -1.\nAnswer: -845 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 + 16a0735?\nAnswer: 16a0680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 13 = -9. Suppose -4*z + 0*z + p = 11, 0 = -y*z - 3*p - 9. Let c be 2 - 2\/(-4)*10. What is the smallest value in -1\/3, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*h**2 + 662*h**2 - 1985*h**2 + 663*h**2 + 9*h - 9*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -0.04 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 279, 281, 283, 285, 287?\n\"Answer: 2*n + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-578))\/((-3396)\/4811)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 2. Let n(s) = 2*s + 6. What is n(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h + 22. Determine u(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 47*o**2 + 317*o - 48. Determine p(-53).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46350247.\nAnswer: 46350247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 146248*g**2. Let y(c) = -14*c**2 + 1. Calculate y(v(s)).\nAnswer: -299438685056*s**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 55 = -3*h - n, -5*h + 25*n - 465 = 15*n - 4*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 times -5?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 56*r - 7930. Calculate u(141).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -15*v**5\/4 - 3927*v**4\/4 - 310389*v**3\/4 - 6290625*v**2\/4 + 7979043*v - 1532280 = 0.\nAnswer: -113, -40, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 25 = 0, 4*c + 0*c = 2*z + 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*x**3 - 77*x**3 - 104*x**3 + (0*x - 2*x + 4*x)*(-1 + 1 + 2*x**2) - 2*x**3 - x - x + 0*x.\nAnswer: -113*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(sqrt(833) - (sqrt(833) + sqrt(833) + -3)))**2.\nAnswer: -42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 9*o + 12. Let x be q(10). Find the first derivative of -9*i**3 - 4*i**2 + 9*i**x - 5*i**2 + 9 wrt i.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 12}. What is prob of picking 1 v and 1 j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 45584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssshssssshhhsshh. What is prob of picking 2 h and 1 s?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1967118 by -983559.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(13) - sqrt(52)\/sqrt(4)) + 3)**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 + 44 - 44 - j**2 - 3*j**2 + 2*j**2 + 2*j - 2*j - j**2 + (3*j - j - 4*j)*(-j + 0*j + 2*j) + j**2 + 2*j**2 - j**2 + 0*j**2 + j**2 + j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Let d = -18.3 - -3.3. Let l = d - -13. What is the third smallest value in u, l, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -298, -401, -452, -433, -326?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-67 - -23) + -5?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38296.81 * -0.7\nAnswer: 26807.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 84, 4, 1, -3708 in descending order.\nAnswer: 84, 4, 2, 1, -5, -3708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*w + 1 - 5*w - 7 + 4 as b + a*w and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*i + 9. Suppose a - 5 = -i. Let x(b) = b**2 - 2*b - 5. Let l be x(a). Solve -c = -5 + l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 36. Let m(d) = d**3 + 20*d**2 + 19*d + 19. Let v be m(-19). Let c be n(v). Solve -4*b = 5*y - 1 - 4, 2*b = c*y + 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7196719181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 139.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 11 - 201. Calculate the remainder when 97 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2333, 2829, 3671, 4859, 6393, 8273, 10499?\nAnswer: 13071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 4. Let c = -3874 - -3902. Calculate the least common multiple of y(0) and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.06 + -0.06. Let t = 0.1 - 0.36. Let w = -3.26 - t. What is the third biggest value in v, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 5*t - 2*t)*(-3 - 3 - 13 + (2 - 1 - 2)*(-1 + 1 + 1))*(0 + 0 + 2*t**2) as h*t**3 + c*t**2 + j*t + y and give h.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 8 - 24. Let o be (3 + t)*3\/7. Suppose -7*k = -o*k - 52. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 881, 2913, 6099, 10433, 15909, 22521, 30263, 39129?\nAnswer: 49113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -12 - (-6 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -19*h + 4. Let r(w) = -w + 24412*w**2 + 3*w - 2*w - 24418*w**2. Determine r(q(c)).\nAnswer: -2166*c**2 + 912*c - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 49437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 311 = p + g, 5*p - 1541 = 2*g. What are the prime factors of p?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 + 173. Suppose -i*s - 3*n + n + 218 = 0, 3 = -n. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((120\/(-32))\/15)\/((-2)\/(-6)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 3, v: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**7\/840 - 7*v**6\/360 + v**5\/20 + 7*v**4\/24 + 13*v**3\/2 + 50*v**2. Let o(i) be the first derivative of t(i). Calculate o(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/112 and 53\/12.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1725965 * -22.\nAnswer: -37971230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 55753379?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 2*b**2 + b + 2*b**2 - 4*b**2.\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 + 120*m**2 - 11*m - 58. Let c be x(-47). Round c to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.96, -4, 1.908?\nAnswer: 1.908","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1170.650313 milliseconds?\nAnswer: 0.0000019355990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = -63*x + 3848. Calculate the lowest common multiple of x and 56.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*(-2 + sqrt(68) + sqrt(68) + sqrt(68) + 1 + -3) - (1*sqrt(68)*3 - (sqrt(68) + -1 + sqrt(68) + sqrt(68) + sqrt(68))*-6)))**2.\nAnswer: -23328*sqrt(17) + 796068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900*x - 871*x + 528 = -1747*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c + 9 = 29 + 64 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 - 13 = 0. Let k(h) = -5*h**3 - 3*h - 4*h + 0 + 7 + 7*h**2. Let g(v) = 2*v**3 - 3*v**2 + 3*v - 3. Determine u*g(n) + 3*k(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6) + -6 - (-13 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-420)\/(-525))\/((-60)\/(-25)). Suppose 3*h - 5 - 1 = 0. Which is the nearest to v? (a) -0.1 (b) -0.01 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 853 - 313 = 15*o. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 446 - 406 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.8 times 0.14211?\nAnswer: -3.666438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 10. Let w(b) = -10*b + 49. Let c(i) = -11*g(i) + 2*w(i). Let q = -1860 - -1851. Let f(z) = z**2 - 9*z + 49. What is q*c(l) - 2*f(l)?\nAnswer: -2*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuvvququuv. Give prob of picking 2 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3366.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*(d*d**11*d*d)\/d*d*d)\/d*d*d*d*d*d)**(1\/9)\/(d*d**14\/d)**(-2\/35) assuming d is positive.\nAnswer: d**(47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcji when four letters picked without replacement from cjxipipq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 + 288*h\/5.\nAnswer: -2*h*(h - 144)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3725\/18 - -221723\/1071. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 3. Let s be r(-5). Let l be s\/(-2*2\/8). Which is the closest to -0.1? (a) l (b) 1\/8 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1925\/110*((-12)\/(-15))\/((-3)\/((-18)\/(-3))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 77*q**2. Let u(p) = 101*p**2 - p. What is u(f(x))?\nAnswer: 598829*x**4 - 77*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 13109 = 5*m - 1626, 0 = 5*m - 2*c - 14725. Which is greater: m or 2945?\nAnswer: 2945","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3\/7 - 2528*f**2\/7 + 74765*f\/7 + 62450 = 0.\nAnswer: -5, 35, 2498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3462*i + 39797 + 46753 = 0 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 125*k - 3287673 = 20683823. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39752 is divided by 19875.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -7, -17, 1, -386, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*o + 99, 3*o = -q - o + 43. Suppose -2*r + 21 = -q. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkv when three letters picked without replacement from vvrrvvkryrkyr?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiidiyxudyudiudyui. What is prob of picking 1 i, 2 d, and 1 u?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**4\/16 - 11*m**3\/12 - 15*m**2\/8 + 27*m\/4 + 185. Find i such that r(i) = 0.\nAnswer: -9, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1146)\/(-4)*((-6160)\/(-165) + 19 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*i*s**3 - 2*i*s**2 + 20*i - s**6 + 109*s**4 - 24*s**2 + s wrt s?\nAnswer: -42*i - 120*s**3 + 2616*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3*621\/18. Let h = s + -32. What is the highest common divisor of h and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 15. Let j(f) = 266*f - 59. Give j(t) + 4*m(t).\nAnswer: 266*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 5*z**2 + 4*z**2 - 2*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6218 - 6190 = 4*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3\/2 + 19*a**2\/2 - 34*a + 18 = 0.\nAnswer: -9, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 9 = -4. Let u = -57255 + 57255. What is the nearest to k in 1\/2, u, 0.02, 1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 10:10 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + -1*sqrt(304)*3)**2 - -4*(3*sqrt(304) + 2))*-3.\nAnswer: -24732 - 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -53 + 154 + -50.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-85)\/(-70) + 18\/(-12). Let h = 92 + -90. Which is the fourth biggest value? (a) 0 (b) -0.1 (c) m (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -20. Let p be (6\/4)\/(v\/(-2)). Solve -2*w - 3*w = 4*z - 1, -5*w - 3 = p*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 3*g + 2178. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -388 + 5818. Calculate the smallest common multiple of 30 and s.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:26 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5803055 is divided by 3591?\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 6:58 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1277595 and 10.\nAnswer: 2555190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14*o**2. Let s(k) = -37*k. Determine m(s(i)).\nAnswer: 19166*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-3795)\/(-92) + (15\/50)\/((-18)\/(-105)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3197.\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 4*w**2 + 2*w - 83. Let i(h) = -3*h**3 - 8*h**2 + 5*h - 165. Let t(s) = 3*i(s) - 5*u(s). Let n be t(11). Round n to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21545 - -44393. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 151*r - 8 - 144*r + 7 + 15.\nAnswer: 7*r + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, v: 10}. What is prob of picking 2 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, a: 1}. Give prob of picking 3 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*r**5 + 0*r**2 - 10*r**5 - 8*r**2 - 12*r**5 wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) -0.2 (c) 6739\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*f - 325 = -77, 0 = 4*w - 4*f - 368. What is the lowest common multiple of w and 77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 60 = -2*j. Suppose 5*m - 636 = -4*o, -3*o + 5*m + 483 = 6. Is 17 a factor of (o\/4)\/(j\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/108 and -61\/95823.\nAnswer: 383292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, 4, 448?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22*-0.18\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-700)\/(-1050))\/(2\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {r: 2, z: 3, s: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8323630?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 102)*(6*t + 10*t - 6*t)*(5 - 5 - 1) to the form q*t + u and give q.\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 56722*x + 2055. Is t(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/360*7*9\/18 - 60\/160.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r = 42*r - 560. What is the remainder when r is divided by 39?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1264 - 573. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 617503*n - 306606.\nAnswer: 617503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -601079\/45 + 13356. Find the common denominator of g and 41\/285.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k**2 - k + 1. Let m be c(1). Suppose -m*n + 3*n + 16 = 0. Suppose 5*w + 0*w = 0. Sort -5, n, w in increasing order.\nAnswer: -5, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17304, 34458, 51616, 68778, 85944, 103114?\n\"Answer: 2*v**2 + 17148*v + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 20 = -4*s, 6*s = a + 7*s + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -292*u - 48. Let m(i) = -195*i - 30. Give -8*m(w) + 5*y(w).\nAnswer: 100*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Solve 3\/4*i**2 + 0 - 9\/4*i**3 + 9\/4*i**t - 3\/4*i**5 + 0*i = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7202*p**3 - 209*p**2 - 4 - 5112*p**3 + 209*p**2 to the form u*p + g*p**2 + y + q*p**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15\/105 + (-8)\/7 - 323\/(-19)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 - (-2008)\/(-28). Let f = c - -39. Let x = f - -40. What is the lowest common multiple of x and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -118*i + 5. Determine u(-1).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -3 - 0)*(38 + -37). Suppose 8\/3*f**4 + 2\/3*f**3 - 40\/3*f - 28\/3*f**a + 2\/3*f**5 - 16\/3 = 0. Calculate f.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 23*g - 2. Let d(k) = -8*k + 1. Let f(y) = -17*d(y) - 6*p(y). Let u be f(-5). Suppose -u*q + 0 = -265. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**7\/14 + p**3\/3 - 2*p + 3. Let q(u) be the first derivative of s(u). Find the second derivative of q(x) wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031729659.\nAnswer: 19, 43, 73, 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*w**2 - 31*w**2 - 55*w**2 - 30*w**2 + 19*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -274284*t + 2194279. Give n(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 303788 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23494*y + r - r - 4*r = 23498*y - 20, 3*y + 13 = r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2798 and -43\/24.\nAnswer: 33576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*h = 30, -3*h = h + 4. Suppose -13 = -7*d - 6*d. Put d, 1\/3, 6\/5, x in descending order.\nAnswer: 6\/5, d, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21030311332110 + -11?\nAnswer: -21030311332121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13225 - 13160. Calculate the highest common divisor of g and 11960.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14749150*u**3*y**2 - 350*u**3*y - 2*u**2 - 2756*u*y wrt y?\nAnswer: -29498300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 5.9, -3, -2, -1.9, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -967*w + 95. Let g(l) = 323*l - 34. Determine 14*g(h) + 5*i(h).\nAnswer: -313*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = -3*z + 5, -2*o = -2*z - 2. Let v = z - -2. Suppose -3*h + v*l - 2*l = 0, -3*h - 5*l = -21. What is the highest common factor of 14 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227755510.\nAnswer: 2, 3, 5, 19, 229, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*k**3 - 1100*k**3 + 3*k**2 + 0*k**2 - 3*k**2 + 386*k**3 + 355*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1338 (base 9) to base 8\nAnswer: -1757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3872894 is divided by 297914?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*n + 112 = -306, -5*w + 2090 = n. What is the highest common factor of 528 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:19 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n + 12. Let l be (-45)\/(-12)*16\/n. Let d be 2\/l - 56\/(-20). Solve -r - d*i = 2*r - 18, -i - 9 = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 755686764.5 and -0.4?\nAnswer: 755686764.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 28*p = 35*p - 715 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*w + 34*w - 5*w - 16*w**2 - 2 as p*w + i*w**2 + t and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -419 + 2*z - 14*z**4 - 417 + 835 - 4*z**2 + z**3 to the form x*z**4 + k*z**2 + d + q*z + f*z**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -17. Let w = -1.2 - r. Which is the nearest to 4? (a) w (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77650092 to the nearest integer?\nAnswer: 8812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Let z = p + 2. Suppose -28 = -z*m + 16. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33019 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + d + 4*d = 0, 3*w + d = 0. Solve -2*b = -w - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 17422*m + 104540. Calculate v(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 18 (b) -59\/5 (c) -1 (d) 0.3 (e) 0.2 (f) -21\/2 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -101101010?\nAnswer: 101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6345986, 6345987, 6345988, 6345989, 6345990?\n\"Answer: v + 6345985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 940831528 a multiple of 5078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60192)\/(-132))\/(-76))\/(2\/20).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + -0.1. Let u = -359\/3 + 118. Let q = -0.2 - 4.8. Which is the third smallest value? (a) q (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 113 and 29719.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 363220 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37, 81, 129, 181, 237?\n\"Answer: 2*t**2 + 38*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(17)*-2*1 + 4*(-1 + sqrt(17)).\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 5012?\nAnswer: 5012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -54258570?\nAnswer: 54258570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -40. Let j = o + 22. Solve -j*g = -9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3585.724 + 3599. What is w rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 38. Let w = 12.5 - d. Sort w, -3\/4, 1\/4 in decreasing order.\nAnswer: w, 1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41881a5 - 4?\nAnswer: -41881a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 6*c. Let q be n(4). Suppose -q*l = -9*l + 88. Calculate the highest common divisor of 44 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4*d - 14 + 8)*(18*d + 0*d + 17*d) as l + j*d**2 + h*d and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(2\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8850793\/31065 + 94\/2071. Let t = r - -285. Let g = -29\/48 - 1\/16. Which is the nearest to g? (a) 2\/9 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 81 - 44 - 505 - 289 + 91 to l + p*r and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1008)*5 + sqrt(1008))**2 - (sqrt(1008) + sqrt(1008) + -4 + 5 + sqrt(1008)))*-2.\nAnswer: -395134 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -620078.9 and 18?\nAnswer: -11161420.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 8) in base 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q + 3 = 0. Let g = 0 + q. What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 t, and 1 n when four letters picked without replacement from {m: 4, s: 4, c: 2, t: 7, n: 1}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(1088)*2)**2.\nAnswer: 128*sqrt(17) + 4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 14*s**5\/25 + s**4\/2 - 4*s**3\/15 + 3. Find q such that v(q) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 3, 6, 9, 12, 15?\n\"Answer: 3*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 6)*(-11*d - 12 + 4 + 15*d) + (2 - 2 + d)*(2 + 0 - 1) - 4*d + 2*d + 4*d + (0*d - 3*d + 2*d)*(-2 + 4 - 1) to i + y*d and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -248365\/21 and -11827 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1685, -1, 1, 4\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -145106826 * -1.\nAnswer: 145106826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -15 (b) 26\/17 (c) 1 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/21, 1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61.099977 + 61.1. What is p rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*35\/(-15)*84\/(-126)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*y**4 + 5*y**3 + 120*y**2 - 95*y + 10 = 0. Calculate y.\nAnswer: -2, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)\/(i**5*i))**2 assuming i is positive.\nAnswer: i**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.01018 + 0.01018. Put 0.4, 0.2, 1.5, 3, g in ascending order.\nAnswer: g, 0.2, 0.4, 1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13347 (base 15) to base 12.\nAnswer: 2b704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483441161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-6)*z\/z**(2\/15))**(3\/31)\/(z**(-3\/2)\/(z*z**(4\/9))*z**(2\/11)\/(z*z\/z**1*z*z)) assuming z is positive.\nAnswer: z**(200219\/30690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258523?\nAnswer: 7, 163, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-2 - (1\/(-2) - 2)). Suppose 4*u - c = -34, 0 = 4*u - 5*c + 2*c + 30. What is the closest to i in u, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 + 189. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 221520*d + 5*d**2 - 443036*d + 221516*d.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 12*z + 586*z**3 - 11*z.\nAnswer: 586*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w**5\/7 - 10095*w**4\/7 + 2119314*w**3\/7 + 1595169*w**2\/7 = 0. Calculate w.\nAnswer: -3\/4, 0, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3 - 2)*(1 + 2*m - 1) + 3*m + 0 + 0 in the form g + v*m and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -111, 47, 203, 363, 533, 719?\n\"Answer: w**3 - 7*w**2 + 172*w - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 60*w - 24. Let j be x(-2). Do -144 and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - u**2)*((-3*u + 0*u + 2*u)*(0*u - 2*u - u) + 33 - 33 - 36*u**2).\nAnswer: 33*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6006 + 10841. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -40530 = -36884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2638*x**4 + 2*x**2 + 195 wrt x.\nAnswer: 10552*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 10*r + 9. Let l be q(9). Suppose -t + 10 = -l*t. Calculate the greatest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -682*c. Let q(x) = 210*x. Give a(q(p)).\nAnswer: -143220*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)\/(2\/(-6)). What is the first derivative of 0 + 6 - 3*q + 5*q - l*q wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + (1 + (-1)\/(-2))\/(22\/((-5896)\/201))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 3*r - 7, -k + 3*r + 3 = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 47. Let t be c(-13). Solve -17 = j + s + 2*s, 5*j - s + t = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 42343344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19276744?\nAnswer: 2, 2409593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 476*l - 55*l**2 - 47*l**2 + 155*l**2 - 54*l**2 as m + q*l + o*l**2 and give q.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 5*s**2 + 3*s - 1. What is c(-9)?\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 12 = -3*r, p + 12 = 3*r - 0*r. Solve p = a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -50*f + 49*f + y, -y = f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 2, v: 3, b: 4, f: 1, r: 1}. What is prob of sequence lb?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 5\/4513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*r - 4, -4*z + 42 = 3*r - r. Let a be (-10)\/4*z\/(-4). Calculate the highest common divisor of a and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:52 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2903533 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56587\/426 + -125 - -2*(-4)\/6.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140091558 by -140091558.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/7 - 717*w**2\/7 + 730*w\/7 + 8616\/7.\nAnswer: -(w - 4)*(w + 3)*(w + 718)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (942*m**3 - 54403*m + 54403*m)*(-5*m + 5*m + m**2).\nAnswer: 942*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9375*m**2 - 1596*m**2 + 2059*m**2.\nAnswer: 9838*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*t - u - 5, -5*t = -4*u - 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 14*o - 5*o - 14*o + 3*o.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8215.2053 + 8217. Let u = h - -1.2115. Let y = 3 - u. Round y to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(27)*-2 + sqrt(27))*-3 - sqrt(972)*-1*-1)\/(-1*2*sqrt(9) + sqrt(9) + -3*2*sqrt(9) + sqrt(9) + (sqrt(108)\/sqrt(2)*-6 - sqrt(54))\/sqrt(6)).\nAnswer: 9*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*o + 42, 0*o - o - 22 = 3*s. Is o smaller than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 equal to -513399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*f - 122, -225 - 896 = -8*q + 3*f. Calculate the highest common divisor of q and 2414.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 185, 2\/19, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 195401844 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**6\/30 + x**5\/20 - x**4\/12 - x**3\/6 - 3*x. Determine o, given that n(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*a**3 + a + 2*a**2 - 23 + 46 - 20 + 0*a as j*a**2 + h + i*a**3 + f*a and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 12. Suppose 38 = -10*f + 8. Give r(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 525*n**2 - 17*n - 49. Let g be (72\/(-30)*(-10)\/4)\/(-2). Is x(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 8*l + 4. Calculate the least common multiple of 104 and o(5).\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/(-42) + 14\/(-84).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1680*g - 11779. Calculate z(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.359 and 5.\nAnswer: 7.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/4))\/(((z*z**(-1\/4)*z)\/z)\/z)*(z**(2\/7))**18*(z*z**(-1))**(-44)\/((z**(-4)*z)\/(z\/z**(-5))) assuming z is positive.\nAnswer: z**(219\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 152 - 58 - 13723*c - 48 - 46 as d*c + p and give d.\nAnswer: -13723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-5)\/(-25) + 210. Let w = 381 - u. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 3*q - 17. What is m(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 7232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j + 2120 = -49413. Is 76 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212002120001 + 2?\nAnswer: 2212002120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.941 minus 7610.21084?\nAnswer: -7572.26984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1734751 is divided by 4701.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220989 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1463130 is divided by 731501?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 639171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/9 - 49\/(-63). Let b = -37 + 40. Suppose -7*p - 24 = -b*p. Let z(w) = w. Let i(c) = -2*c**2 + 7*c - 1. What is p*z(j) + u*i(j)?\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q\/(q\/q**5))\/q)*q)**(-40)\/(q**(-7))**(2\/7) assuming q is positive.\nAnswer: q**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minutes before 6:14 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y*y**(1\/2)\/y*y*y)\/(((y**7*y)\/y)\/(y\/(y*y\/(((y\/y**(-4\/3))\/y)\/y)))) assuming y is positive.\nAnswer: y**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*c + 53, -2*c + 5*c + 41 = -n. Let d(h) = h + 18. Let r be d(c). Let a = 9 - 3. Solve r*s = a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -534336 divided by -3036\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 51 = -3*d, -425501*d = w - 425506*d - 58 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.38496 from 10235951.\nAnswer: 10235950.61504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 28*k + 51. Give b(-14).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*b - 4*b**3 + 16*b + (b**2 + b - b)*(-2*b - 5 + 5) + (-21 - 27 + 13)*(-b + b + b**3).\nAnswer: -41*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x + 0*x)*(x**2 + x**2 + x**2).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + -5*(sqrt(720) + (2*sqrt(720))**2 + -2)*-4)*2 + -4.\nAnswer: -115124 - 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22285 and 136.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/3181452 and 89\/184432?\nAnswer: 12725808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5\/6, -5, -0.4, -197, 2067, 0.1?\nAnswer: 2067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.1 - 0.9. Let z = -0.0928016661 - -17.0928013261. Let w = a + z. Round w to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2763874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14912*r - 14912*r - 72*r**2.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -475*v + 2. Let q(x) be the first derivative of x**3\/3 - 624. Give d(q(a)).\nAnswer: -475*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -27 (b) -2\/23 (c) -6.4 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25799 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 + 17*m**2 - 18*m + 2. Let q be c(1). Suppose q*j + w - 11 = j, -j = -w + 2. Solve j*t + 16 = -2*a, a = -t - 2*a - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 816 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c - 304. Determine h(23).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -508724?\nAnswer: -508718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 227*q**3\/3 - 2154. Let n(t) = 2*t - 4. Give n(b(p)).\nAnswer: 454*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379863909?\nAnswer: 23, 31, 1935293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 722 (base 16) in base 8?\nAnswer: 3442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 705 + -140753?\nAnswer: -140046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 0.03, -239 in ascending order.\nAnswer: -239, 0.03, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9397.\nAnswer: 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -44*j - 138. Let y(k) = 2*k + 26. Let c(g) = m(g) + 5*y(g). Calculate c(-5).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Suppose -j = -3*j + p. Solve 0 = l, -3*c - j*c - 5*l - 5 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3934535 take away 721057?\nAnswer: -4655592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852764 is divided by 1269.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 9837 and 324652\/33 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35671 greater than 35671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + q**3 - 2*q**3 + 8 + 6*q**3 - 8 + (4*q**2 + 2*q**2 - 4*q**2)*(q - 5*q + 2*q) + 0*q**3 + 0*q**3 + q**3 + q**2 - q**2 - q**3 + 16*q**3 - 5*q + 5*q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -p + 10, p - 7 - 15 = -5*k. Let b = 9 - p. Let h(l) = l - 5. Let o be h(b). Put 0, o, 1 in decreasing order.\nAnswer: o, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -29*w - 199. Let j be a(-7). Suppose -3*d + 4033 = 4*k, 5*d = -j*k + 8*k - 4041. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -43. Let d = -16.91 + q. Let f = -0.1 + d. Which is the third biggest value? (a) -3\/4 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62659853?\nAnswer: 19, 173573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/2*3\/6. Suppose 7*y + 12 = x*y. Solve 3*u - 3*m + y = 0, 2*u = 3*m - 14 + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbj when three letters picked without replacement from {j: 11, r: 1, b: 2}.\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/120 + b**5\/15 + b**4\/8 + b**3\/6 + 4*b**2. Calculate the remainder when 37 is divided by h(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 956 divide 655871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 39, -16, -125, -306, -577?\nAnswer: -956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 5)\/(-2) + 2. Sort -3, y, 5, 0 in decreasing order.\nAnswer: 5, y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-8) + 459\/36. Let o = 15 - u. Suppose -5*g + 1930 = 5*y, -o*g + 5*y + 384 = -734. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1204030 and 26600?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/127 or -12\/4355?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/12 - w**3\/6 - 3*w + 3. Let v(g) be the first derivative of x(g). What is the second derivative of v(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2573.7 - 2805.\nAnswer: -231.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-495)\/44)\/(3\/(-12)). Let z = y + -43. Is 10 a factor of (-3 + z)\/(-5 - (-5145)\/1030)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-2)*11640\/(-9). Round t to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 38 - (-17 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787 (base 9) to base 13.\nAnswer: 3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/63*-7*(-6)\/(-2). Solve y*w + 0*w = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -93*g + 59. What is w(4)?\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -14*23\/(-46) - -198 is divided by 81.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9973814 to the nearest integer?\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54116?\nAnswer: 2, 83, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 3. Let a be z(4). Suppose -l + 6 = 5*r, l + 24 = 5*l + a*r. Suppose -3*j = -l, -3*o = -7*o - 3*j + 46. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.766 and 4.4?\nAnswer: -3.3704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlhlmmhlhyy. What is prob of picking 2 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 3:00 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1560 - -1566.648. Let z = -0.07 + 0.022. Let i = z + q. Round i to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 9:23 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0439125 + 0.2639. Let d = 21.22 + -21. Let m = d - u. Round m to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2469, -4205, -7069, -11067, -16205?\nAnswer: -22489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 458*b**3*f**3 - 22*b**3*f**2 - 18*f**2 wrt f.\nAnswer: 2748*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 412334*f**4 + 3*f**2 - 17507*f wrt f.\nAnswer: 9896016*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.7 + 2.4. Let x = -0.13 + 6.13. Let h = x + -10. Which is the second smallest value? (a) -1\/5 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317504060 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -3345, -8\/15, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*l = -41*l - 1908. Let g = 305 - l. Let s(x) = -5*x + 5. Let d(a) = -11*a + 10. What is g*s(t) + 6*d(t)?\nAnswer: -t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18032)\/11270*((-5)\/16)\/((-1)\/148)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 7288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 2776546 in decreasing order.\nAnswer: 2776546, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 896*x**2 - 221*x - 220. Let b be q(-1). What is the greatest common factor of 552 and b?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1584 is divided by 296?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6417\/7, -34, 1\/4?\nAnswer: -6417\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 25760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 15370244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 g when four letters picked without replacement from {g: 5, c: 13}?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**6\/90 - i**5\/20 - i**4\/36 + i**3\/6 + 4*i + 21. Find y, given that u(y) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u + 111. Let h be p(12). Suppose -50 = -3*t - 2*t - 3*a, -4*a = -3*t + 1. Solve t = -5*b - h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -42, -81, -138, -219, -330, -477?\n\"Answer: -r**3 - 20*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9272, 18545, 27818, 37091, 46364?\nAnswer: 55637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -0.0063?\nAnswer: 3.0063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 5*z**4\/24 - z**3\/3 - 3*z**2 - 333. Let w be (-2 - -3)*0 + -3. Determine f(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15278*u**2 - 15278*u**2 - 1611*u**3.\nAnswer: -1611*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 32. Suppose o*j = 12*j + 65. What is the remainder when (72\/(-84))\/((-3)\/84) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/6 + 11*b**4 + 127*b**3\/6 - 11*b**2 - 64*b\/3 = 0. What is b?\nAnswer: -64, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 32*c + 177. Let r be n(-4). Suppose 3 = -m + 5*o, -o + 2*o = -5*m + 37. Calculate the highest common factor of m and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8\/3)*m\/(m**(-26\/7)*m))**31)**45 assuming m is positive.\nAnswer: m**(10230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z**(1\/6)\/z)\/z)\/z**(-5))**(4\/37))**23)**(1\/11) assuming z is positive.\nAnswer: z**(874\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yozov. What is prob of picking 2 o and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79551*i - 129579 wrt i?\nAnswer: -79551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -3\/8318426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + y - 140. Suppose 2*t - 4*r + 13 = y, -4*t - 4 = 4*r. What is the second derivative of -8*x + 2*x - x + x**t wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0 - 1\/6*l**4 + 3*l**2 + 0*l + 0*l**3. Determine b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 17*l - 190. Let x(y) = y**2 + 15*y - 190. Let r(c) = -5*a(c) + 4*x(c). Let f be r(-31). Which is smaller: f or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218363997 to the power of 1\/2, to the nearest integer?\nAnswer: 14777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16551325*f**3 + 933*f**2 + 1672*f.\nAnswer: -99307950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3239, 1562, -1235, -5152?\n\"Answer: -560*q**2 + 3*q + 3796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from bblymbbmmbbbymmmllb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - -4 - (-8 - 0) - (-15 + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 12*i**2 + i + 2. Let k(a) = -2*a**3 - 12*a**2 - a - 2. Suppose 21*s + 31 = 2*s - 83. Determine s*k(o) - 5*w(o).\nAnswer: 2*o**3 + 12*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*1*sqrt(143) + -1*(-1*sqrt(143) - sqrt(143) - sqrt(143)))\/(-1*sqrt(99)*-4).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 37195 = 12861. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1450 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76971*r**2 - 88*r - 22591987 wrt r.\nAnswer: 153942*r - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.149 - 0.035. Let w = q - 0.816. Which is the second biggest value? (a) -0.1 (b) w (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21543.8 + 19781. What is m rounded to the nearest ten?\nAnswer: -1760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b**2 - 6. Let t(q) = q**3 - 11*q**2 - 14*q + 26. Let l be t(12). Suppose 0 = -5*c + 3*o - 24, 0 = -3*c - 5*o + 4 + l. Does 24 divide x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from bmbmmmmbmkbmkmb.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 352763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 294*o**4 - 6*o**3 + 5*o**2 - 5*o - 1343375 wrt o?\nAnswer: 1176*o**3 - 18*o**2 + 10*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6630)\/(-58344)*144\/(-10)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304368?\nAnswer: 2, 3, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -799, -61, 1?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 269851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -436*l**5\/5 - l**2 - 1135*l - 1136. What is the second derivative of h(a) wrt a?\nAnswer: -5232*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -18, -4, -2, 1, 4, 394 in descending order.\nAnswer: 394, 4, 1, 0, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -17. Suppose 0 = -3*m - 1 + i. Suppose -3*g - 4*h + 15 = 0, m*h + 0*h = 6. Sort 0, g, 3.\nAnswer: 0, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-18) - (-6)\/4 - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 606193 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 9 - 5 - -1 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 297*n - 5. Let d be w(3). Suppose 0*z = -2*r + z - 1779, -r - d = 3*z. Let b = 5441\/6 + r. What is the common denominator of 63\/2 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -7, 22?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5673313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 934*h**2 - 1825*h - 6. Give q(3).\nAnswer: 2925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8831496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*d + 40 - 716 = -196*d for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1201317 and -29.\nAnswer: 34838193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - x - 2. Let s be f(0). Suppose 0 = 5*l - 0*l + 20. Which is the nearest to s? (a) -3\/7 (b) 0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 56*k**2 - 3*k - 3. Let b(s) = -6943*s**2 + 371*s + 371. Calculate 6*b(f) + 742*r(f).\nAnswer: -106*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 1 - 1)*(-2 - 1 + 1)*(0 - 1 - 1)*(3 - 3 + 1).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2397*x - 2. Let c be j(13). Suppose 16514 = p - c. Suppose -44327 = -u + p. What is u rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/218243 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.78981 to two decimal places.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -4673923?\nAnswer: 4673926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -13. Let v be (6\/(-4))\/((-4)\/8)*16. Suppose 2*i + y*i = v. Calculate the lowest common multiple of 12 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + q - 15774 = 0, 0 = -22*q + 18*q + 24. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/7 + 213772*l - 79972318972 = 0.\nAnswer: 748202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 578359*c**2 + 344508*c wrt c?\nAnswer: 1156718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163 + 1138\/7. Which is the third biggest value? (a) -0.12 (b) -0.5 (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/1 - (-12)\/(-3). Let s = -478 - -711. Suppose 0*i = -2*i - 4, -s = -y*u + 4*i. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 39006.\nAnswer: 780120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 30 = 4*n - o, 2*o - 10 = 0. Let i = -17 + 12. Is n at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266 greater than 1261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10093 = 225*z - 725*z - 14907 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 90.01 and 1452.9016668.\nAnswer: 1542.9116668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47923, -95843, -143763?\n\"Answer: -47920*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 28506 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 0.5 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00151064942 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121932111.\nAnswer: 3, 7, 307, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2458994 is divided by 3580.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (371\/(-159))\/(35\/(-165))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**7\/2520 - j**6\/120 + j**5\/40 + 5*j**4\/12 + 3*j**2. Let u(g) be the second derivative of h(g). Calculate u(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*l = 26, 0 = c + l - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -238, -198, -136, -46?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -628, -1557, -2870, -4573, -6672, -9173, -12082?\nAnswer: -15405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 298*c**2 + 8*c + 14. Let x be g(-7). Let t = x + -7233. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 e, and 1 a when three letters picked without replacement from caeck.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22483935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u - 5. Suppose 6 = 4*m - 4*l + 2*l, -2*m + 18 = 2*l. Suppose 2*j = 14 - m. Let h(i) = 10*i + 16. What is j*h(z) + 16*f(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 + 62*d - 5. What is the units digit of h(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suur when four letters picked without replacement from rfautusr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + 20201212?\nAnswer: 20200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = -5*i, 2*g + 7 = -2*i + 15. Suppose -g*x = -2*x - 85. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j + 0*j**2 + 9*j**2 - 4 - 8*j**2. Let a be r(3). Let i(x) = -2*x**2 - 6*x. Calculate i(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28207.92 less than 5?\nAnswer: -28202.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - 4*b**5 - b**5 + (-3*b**5 - b**5 + 5*b**5)*(2 - 2 - 4).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -292879811\/1534863 + 4\/139533. Let p = 87 - -104. Let r = m + p. Which is the closest to 1? (a) -0.5 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/24)\/((j*(j\/j**11)\/j*j*j)\/j*j) assuming j is positive.\nAnswer: j**(193\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18720 - -19224. Calculate the lowest common multiple of k and 392.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 22*b. Let w(c) be the third derivative of 11*c**4 - 1009*c**2. What is x(w(u))?\nAnswer: 5808*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34027198?\nAnswer: 2, 37, 73, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3458 divided by -1729.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17\/2, 3\/8, -31, 697?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is -14 less than -1365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/3)\/(3\/315).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*x - 18*x**5 + 10*x + (-3*x**5 + x**5 - 2*x**5)*(3 + 3 - 4) + 2*x**5 + 2*x**5 - 6*x**5.\nAnswer: -28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-24))\/(-3*(-8)\/(-32)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + -5.01. Let y = -102 + 105.7. Sort r, y, 3 in decreasing order.\nAnswer: y, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1150055 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004555905 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 6*d**2 + 7*d + 4. What is r(-8)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -30*q - 214. Let y be k(-7). Sort 8, 4, y, -1.\nAnswer: y, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -433 - 9. Let y be 17\/(r\/(-48)) - 8\/(-52). Let u(z) = -2*z + 1. Let w be u(-2). Solve 0*k - 10 = -2*k - y*t, 0 = 2*k - w*t - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2280\/210)\/((-9)\/(-7)) + -9 + 0?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 10*k - 7\/4*k**3 - 9\/4*k**2 = 0. What is k?\nAnswer: -3, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -140, -429, -904, -1559, -2388, -3385, -4544?\n\"Answer: j**3 - 99*j**2 + j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3558615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -9.5337241172?\nAnswer: 12.5337241172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -329166204293 - 0.3?\nAnswer: -329166204293.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 138623113781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/6*(-6)\/(-4). Let m(z) = o + 1 + 2 - z. Let w be m(7). Sort -1, w, 3 in ascending order.\nAnswer: w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13503088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59073864 to the nearest integer?\nAnswer: 7686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 + -30021?\nAnswer: -30231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.11446 + -1044.\nAnswer: -1041.88554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(-1)*(-1200)\/(-5200).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.96 * 20.\nAnswer: 179.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 57*j - 1457. Let d be w(26). Solve z + 4*z = d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoaooaaooaooo. What is prob of sequence ooao?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 14. Let z be (d\/20)\/((-18)\/(-10)). Is -1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700 times -0.239?\nAnswer: -406.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 + 1 = 0. Suppose 3*z - 2 = 4. Suppose z*v - s = 44, s + 56 = 2*v - 3*s. Calculate the remainder when v is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t - 362. Is t a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000348249 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**7\/2520 + 7*u**6\/720 + u**5\/15 - 32*u**4\/3 - 19*u. Let t(b) be the third derivative of v(b). Give t(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -20 (c) 1\/8 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 68292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 1 - 3*b**2 + 0*b**2 - 6*b. Suppose -3 = -5*g - 18. List the prime factors of i(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b + 0*b**2 + 2*b - 16 + 17*b. Let n be v(-21). Is 5 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*h**2*l**3 - 127*h*l**3 + 6*h*l wrt h.\nAnswer: -270*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 628 * 2\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(468)\/sqrt(9))**2 - (1*sqrt(117))\/sqrt(9)).\nAnswer: -2*sqrt(13) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6 = -15*s + 11*s, -3*s + 5 = u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/9, 2, 1, -39\/20, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.1 - 24.03. What is the third biggest value in 0.5, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -3*v**5\/20 - 5*v**2. Let d(x) be the third derivative of x**4\/12 - 77*x**2. Calculate d(o(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 + 11) - (-5 - -3 - -7).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-9)\/(-3))\/(3\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.7 - 14. Let h = 5.259 + 0.041. Let i = h + x. Which is the second smallest value? (a) -2 (b) -4\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l + 361 - 10 = 13*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4791 - 2785. What is the remainder when k is divided by 667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/922 and 61\/4?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 130922 (base 10) to base 8\nAnswer: 377552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 296 = -11*h. Let g be (19 - h)*3*-10. Calculate the greatest common divisor of g and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 22 + 4. Let z = 10 + v. Suppose 5*r + 8 = z. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 78*w**2 - 11*w - 14. Let v(z) = -26*z**2 + 4*z + 5. What is -4*n(r) - 11*v(r)?\nAnswer: -26*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2588.468 + 2590. Round h to 2 decimal places.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2740 = 88*c - 764 + 4360 for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000101011111011000 (base 2) in base 11?\nAnswer: 1218576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**2*k**3 - 2*c**2*k - 4*c*k**4 - 94*c*k**2 wrt k.\nAnswer: -24*c**2 - 96*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.6 - 3.4. Let t = -36.7 - y. Let w = -0.3 + t. Is -1\/8 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g + 53. What is the remainder when i(0) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - 3 + 1 - c**3)*(321*c + 18*c + 236*c).\nAnswer: -575*c**4 - 1150*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 189, -313, -1031, -1977, -3163?\nAnswer: -4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 88 = -5*a - x, -4*a + 77 = -5*x. Suppose -a = -3*o + 51. Suppose 5*c - 7 - o = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*q = -18, 8*f - 4*f + 4*q = 16. Suppose 4*c = -2*l - f, 3*c - 5*l + 8 = -0*c. Which is greater: -5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + 4*r + (6 - 7 + 9)*(-4*r + r + r))*(2*r**2 - 2 + 0*r**2 - r**2)*(3 - 2 - 2).\nAnswer: 15*r**3 - 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -178399, -351995, -525591?\n\"Answer: -173596*d - 4803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Let d be -2 - x\/(3\/30). Let m be (-18)\/d*1*2. Solve m*a - 1 = -10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) -0.2 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 4*j**2 + 114*j + 0*j**3 - 110*j)*(2*j + 2*j - 2*j).\nAnswer: 2*j**4 + 8*j**3 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggaggag. Give prob of picking 1 a and 1 g.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 12:28 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 297092 = 2*w - 24506, -m + 2 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 69538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4023 - -7888. What is the remainder when z is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i + 0 + 1\/2*i**3 + 1\/2*i**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + v = -15, 0 = -2*g + g - 4*v + 5. Suppose q - g*q + 68 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*(-1670)\/(-248) + 9.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -155 + 223*u - 231*u + 152 + 2*u**4 + 6*u**2 as t + j*u**4 + h*u**2 + g*u**3 + x*u and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = k - 97 + 123, 3*k + 50 = -l for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, -69, -161, -279, -417, -569, -729, -891?\n\"Answer: u**3 - 22*u**2 - u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 7*y + 0*y - 21*y + 282 = 32*y - 4*d, 5*d + 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3*d + 53, -4*d + 46 = -41*r + 46*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560.9506 weeks to microseconds.\nAnswer: 339262922880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 553698 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(b + 1 - 1) - 3*b + 0 + 0)*(b**4 - b**2 + b**2 + 0*b**3 + 2*b**4 + 0*b**3 + (-2*b + 3 - 3)*(0*b + 0*b + 2*b**3) + b - b - b**4).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11332 + 10111331?\nAnswer: 10033333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2415736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) + (sqrt(144)\/sqrt(6))\/sqrt(8) - sqrt(162)\/sqrt(6) - 6*sqrt(30)\/(2*sqrt(490)))**2*-3.\nAnswer: -3600\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21885.46 meters to millimeters.\nAnswer: 21885460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -808 + 813. Solve u = v*o - 5, -4*o + 17 + 11 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2456 - 2453. Solve -c + 21 = -3*t + o*c, 0 = -4*t + 3*c - 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgglllblblbgg. What is prob of sequence lb?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvwdnnvwrrssssn. What is prob of sequence rvn?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 265 - 170. List the prime factors of h.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 - -637. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5104450 is divided by 8479?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 2. Let i be q(3). Suppose 5*w - i = 5. What is the remainder when 20 is divided by 1*(3 - (w - 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2 - j**2 - 3*j + 2*j**2 + 22 - 22. Determine y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*x = -89*x + 28 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6004, 6231, 6458?\nAnswer: 6685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*w - 33 + 53, -5*u - 4*w - 10 = 0. Let c(o) = -o**3 + 3*o**2 + 3*o - 2. Let s be c(u). Solve -2*b = g, s*g = 2*b + 3*g + 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284499845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 257591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 517466 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: What comes next: -57, -59, -63, -69, -77, -87?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2497*h + 20*h - 2196*h as d + k*h and give k.\nAnswer: -4673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 5*c. Let l be y(4). Solve b + l = 3*v + 2, -b - 1 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(16\/(-132)))\/((-99)\/(-66))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.871117 days?\nAnswer: 593664.5088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2861 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 8. Suppose 3*z + r = 28. Let k = 55 + -27. What is the highest common divisor of z and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4859, 19872, 44897, 79940, 125007, 180104, 245237, 320412?\n\"Answer: m**3 + 5000*m**2 + 6*m - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1224 and 3298.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 11:45 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91774 is divided by 1803.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:13 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -191450 by -547.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2. Let h(g) = -3411*g - 1. Give h(j(w)).\nAnswer: 6822*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/6)\/(-1)*(-8)\/(-130)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**2 + 3*s**2 + s + 11*s + 10*s**3 - 12 + 14 wrt s.\nAnswer: 60*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 680*r - 16879. Give z(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/5*(-15)\/(-6). Let p = v - 4. Let d(n) = -n**2 + 10*n + 5. Let f be d(9). Solve 5*q - h + 7 = 3*h, f = 5*q + p*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 13. Let b = 17609522 - 17609498.999991. Let j = n - b. What is j rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 57*q**2 + 846*q - 135. What is y(-27)?\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 20 - 25 - 11. Suppose -5*l + 7 = -28. Calculate the remainder when b(-7) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a + 3*p - 4165, 5*p - 3132 = -3*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88840 divided by 22210.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004064456343 to 5 dps.\nAnswer: -0.00406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19641162 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0117305 rounded to 4 decimal places?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 4*c - 2. Let j be (12\/14)\/((-1)\/(-126)). Suppose 0 = 3*a - 7*a + j. Calculate the remainder when a is divided by g(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4 - 21*c**3 + 1363*c**2 + 883940*c wrt c?\nAnswer: 24*c**2 - 126*c + 2726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21718098229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -3\/41, -0.5, 0.08, 0.0345?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 219*r - 186. Let d(a) = 109*a - 95. Let t(k) = 5*d(k) - 2*o(k). What is the derivative of t(b) wrt b?\nAnswer: 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 454. What is the common denominator of (7 - 1) + -4 - i\/45 and -44\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + i + 10. Let x be t(4). Let k = 994 + -2051\/2. Calculate the common denominator of 5*(-2)\/x - (-512)\/90 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85, 158, 231?\n\"Answer: 73*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -10) + 0 + -5. Suppose 0 = -g*k + 123 + 45. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + f + 4 - 9 = 0, 13 = -g - 3*f. Suppose -4*h = -h + 33. Let l = g - h. Solve -3*w - l = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30626612 + -24?\nAnswer: 30626566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 10, e: 4}. What is prob of sequence ne?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*1*(-3*(2 + sqrt(99) + sqrt(99) + sqrt(99)) - -4*(sqrt(99) - (3*sqrt(99) + sqrt(99)))))**2.\nAnswer: 48384*sqrt(11) + 2796480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 31. What is the greatest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/(-52)*24 - -34?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107.4 + 107. What is the nearest to 3\/2 in n, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-4 + 9 + -4)\/1). Suppose 2*g = 4*z - 448, 2*z + 2*g - g - 224 = y. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - w + 192, -2*w = 5*s + w - 240. Suppose 2*v + 6 = 2*u, -3*v + v + 18 = 2*u. What is the highest common divisor of u and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 7*u - 8. Suppose -5*d + 10 = 35. Let l be q(d). Suppose 4*o = -o + 70. Calculate the highest common factor of o and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4954 + -3123. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {h: 1, n: 1, t: 8, a: 2, k: 3, e: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294619640 by -21044260.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7380*c**2 - 51962 + 51962.\nAnswer: 7380*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 139*y + 34 - 21 as f*y + v and give f.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52.6 - -6.6. Let w = q + 49. Let k = -234 + 234.5. What is the second biggest value in -0.03, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17036 + 17035.6. Let g = 0.03 + -4.03. Which is the closest to q? (a) 5 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 45*c**2 + 26*c + 376. What is u(-43)?\nAnswer: 2956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3376, -4878, -6378, -7876, -9372?\nAnswer: -10866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5310020? (a) -3 (b) 0.2 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -683, -633, -521, -323, -15, 427?\n\"Answer: 4*o**3 + 7*o**2 + o - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*74\/6216*-27?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 - 2 + 2 + (-4*k + 7 - 7)*(k**2 - k**2 - 2*k**2) - k**3 - 3*k + 3*k - 3*k**3 - k**3 + 2*k**3 to the form r + p*k + c*k**3 + g*k**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68413 - 8756813\/128. Let q = -1\/428 + 19049\/1284. Find the common denominator of m and q.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10656445\/508579707 + -4\/287821. Let g = 2\/589 - x. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3610 and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*(m\/(m**2\/m))\/m)*m)\/m**10)\/(m**(-3))**(-42))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 - 4*h**2 + 134)*(2*h - 3*h + 2*h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7689, 7616, 7405, 6984, 6281, 5224, 3741, 1760?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 1. Let u(v) be the second derivative of -4*v**3\/3 - 9*v**2\/2 + 18*v. Calculate 36*k(w) + 4*u(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from azesj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 391755 and 40.\nAnswer: 3134040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0441? (a) 0.05 (b) 2\/3 (c) 3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130124935 to the power of 1\/2, to the nearest integer?\nAnswer: 11407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -4 - (3 + (-2 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.78 to 1 decimal place.\nAnswer: 55.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24685\/95 - 390\/(-2470) is divided by 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6) + (-2)\/(180\/(-114))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14, -0.4, -1\/2, 1, 52?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w. Let x(o) = -15*o**2 + 9. Let k(q) = 7*q**2 - 4. Let s(f) = -9*k(f) - 4*x(f). Give c(s(t)).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5717299539.\nAnswer: 3, 7, 2671, 101929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 - 45 + 26)*(-18 - 9 + 6)*(0*o**3 - 2*o**4 + 0*o**3) to j*o + c + g*o**4 + x*o**2 + y*o**3 and give g.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.87776 meters to millimeters.\nAnswer: 9877.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75056 is divided by 927?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6312496?\nAnswer: 2, 37, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2471 + -2466. Solve -2*u + 4 = -y*l, -34 + 32 = -u - 3*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47030114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 s, and 1 o when four letters picked without replacement from {o: 1, w: 1, q: 1, i: 2, k: 2, s: 7}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 28. Let u = 45 - 45. Solve -l + r*s + s + 23 = u, -5*l = 3*s - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*a + 356*a + 1331*a to the form f + g*a and give g.\nAnswer: 1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4262 = -5*w - 2*g - 0*g, -4*w + 3413 = 5*g. What are the prime factors of w?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9407140668.\nAnswer: 2, 3, 23, 337, 33713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32742.\nAnswer: 2, 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 113*x - 95. What are the prime factors of j(5)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 2. Give g(12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 516*j + 24412. Calculate c(-48).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2754*m**5\/5 + 10116*m**4\/5 - 61442*m**3\/5 + 18884*m**2\/5 + 232*m\/5 - 336\/5 = 0.\nAnswer: -7, -2\/17, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 + 2 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -11*q**4\/12 - 5*q**3\/6 + q**2 + 19*q. Let g be y(-3). Let i = -37 - g. Calculate the highest common divisor of 30 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35373 or 35370?\nAnswer: 35370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 21841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7*(k**(-10\/7)*k)\/k)\/((k\/(k**2\/k))\/(k*k*k\/(k*k\/(((k*k\/(((k*k\/(k*k*k**(-1)))\/k)\/k)*k)\/k)\/k)*k))) assuming k is positive.\nAnswer: k**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 7*u**2 - 1224*u + 7303. Give y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*y + 757 - 287 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(-4 + 2 + 0)*(905 + 699 - 2047)*(2*k**3 + 0*k**2 + 0*k**2) to the form a*k**3 + u + o*k + j*k**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9465\/8 - 1177. Find the common denominator of 185\/2*8\/80 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20*(0 + 45\/20). Let d = 67 - q. What is the remainder when 76 is divided by d - 2 - (-2 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -814*y**2 + 2392*y**2 - 805*y**2 + 1 - 799*y**2.\nAnswer: -26*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 divided by 59.\nAnswer: 171\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22989, 19046, 12475, 3276, -8551, -23006?\n\"Answer: -1314*d**2 - d + 24304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 84\/(-63) - ((-356)\/16)\/((-3)\/54256). Round v to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 12*x - 80 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10011010101000011001 (base 2) to base 16\nAnswer: -9aa19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -34*x**2 - 6*x**2 + 3*x**2 - 2*x - x**2 - 64 - 3*x**3 - 118*x = 0?\nAnswer: -8, -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2341000 (base 5) to base 3.\nAnswer: 2012022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42780854 divided by 3?\nAnswer: -42780854\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 651992379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**2\/2 + 7*d + 24. Let z be j(-5). Suppose -3*a + 534 = -2*p + 5*p, -z*a = -p + 193. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2893887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 103436, -1 in descending order.\nAnswer: 103436, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1728 * -75580.\nAnswer: 130602240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24*((-45)\/(-12))\/5. Let q(t) = -22*t - a*t + 42*t. Let f(n) = 3*n**2 - 9*n - 9. Let r(y) = y + 1. Let x(o) = f(o) + 9*r(o). Calculate q(x(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -10. Factor -5*l**3 + 5*l**3 + g*l**3 + 3*l**2 - 6*l.\nAnswer: 3*l*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8032 is divided by 65.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 - 6 + 3*l**2 + 8 - 5*l**3. Give v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*o**6 + 4*o**4 + o**3 + 3*o**2 + 150*o - 4?\nAnswer: -9120*o**3 + 96*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3780960562?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -167 + 84 + 118 + -18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 155, 370, 681, 1094, 1615?\nAnswer: 2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-31)\/3 + (5 - 12)\/42). Which is the closest to 4\/57? (a) -16 (b) 2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 166*r**3 + 162*r**2 + 166*r - 164.\nAnswer: 2*(r - 82)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 444*x - 16945. Let o(g) = g. What is k(o(i))?\nAnswer: -2*i**2 + 444*i - 16945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3*63\/42?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251160289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 7*q - 13. Let a be h(9). Suppose a*t = 2*t + 15. Suppose 4*n + j - 54 = 4*j, n = 5*j + t. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/((-2)\/(-6)). Let q(v) = -2*v**3 - 26*v**2 + 27*v - 8. Let k be q(-14). Solve 0 = h + x*h + k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 9*n + 6. Let s be u(-8). Let i be 1*s + (-3 - (-12 - -7)). Let a be 4\/(-8)*4\/16*i. Solve a = -8*b + 7*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 572666993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 < -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-969)\/6)\/((-10)\/4). Let n = -99225 + 99289. Which is greater: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**4\/3 + 31*r**3\/6 + 3*r**2 + 108*r - 2. Is m(-13) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 4. Let p be t(-6). Suppose -4*o + 750 = 5*k, -4*k - 948 = -5*o - 5*k. Let h = -185 + o. Solve 3*b - 12 = 0, p*z + h = b - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.034 - 9.034. Let v = 9.13 + i. Let j = 0.03 - v. Put 0.4, j, 1 in descending order.\nAnswer: 1, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -32, -10, -1, 0, 1.\nAnswer: -32, -10, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46\/414*(-2 - (-13)\/2). Let p(o) be the second derivative of -2*o + 0 + g*o**3 + 0*o**2. Let z(s) = 9*s. What is z(p(t))?\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16867557 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j - 5*u + 10, 5*u - 22 = -j. Suppose -4*x = 90 - 478. What is the remainder when x is divided by (78 - j)\/3 - 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106529\/11 - 9685. Which is the closest to -1\/4? (a) 32 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x + 24. Let t be m(-4). Suppose t = 3*s - 5*s + 228. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2721 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**5 - 5*k**4 + 20*k**3 + 20*k**2 = 0. What is k?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12140223323 (base 5) to base 4\nAnswer: -312313131303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*x = 55*x + 92075. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 199 - 515. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -426, -436, -446, -456?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4634 - -0.0514. Let m = j - 0.218. Let t = m + 1.551. What is t rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 - i**4\/3 + 7*i**3\/3 + 7*i**2 + 2779*i. Let l = -6 + 0. Let c be o(l). Solve 5 - 3 = 5*n + 4*w, -c*w = -6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4569 and 25641228?\nAnswer: 25641228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 2*d)*(107 - 197 - 175)*(-d - 3 + 3 + d + 0*d + 0*d - 2*d - 5*d + 5*d + (3 - 1 - 1)*(-d + 3*d - 4*d) - 5*d + 3*d + d).\nAnswer: -1325*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-8 - -5) - (-1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -h - 11, 13*h - 12*h = -5*l + 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 7.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235009092 divided by -12.\nAnswer: 19584091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, 74355, 76.8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(475) + sqrt(228)\/sqrt(3))*-2 + (sqrt(1539)*5)**2 + sqrt(114)\/(sqrt(42)\/sqrt(7)).\nAnswer: -13*sqrt(19) + 38483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:23 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 10. Suppose 0 = 2*r + 6. Let h = 6 - 3. Let a be (-2)\/r + (-17)\/h. What is t(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1715*g - 3381*g - 4368*g)*(-2 + 0 + 3) to y*g + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/3, 2\/377, 2, 0.9, -253?\nAnswer: 2\/377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11929700 to the power of 1\/2, to the nearest integer?\nAnswer: 3454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = -3*g - 1, -5*k - 13 = 4*g. Suppose i + g*n + 23 = -3*i, 18 = -4*i - 2*n. Is -3 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 11*t**2 - 3*t - 24. Give f(10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.53 + 0.67. Let j = -1.6 + 2.7. Let o = t - j. Which is the second biggest value? (a) 0 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l**2. Let d(y) = -4*y + 1. Let r(i) = 612*i - 85. Let m(s) = -85*d(s) - r(s). What is m(a(x))?\nAnswer: 3264*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -165 and -1026.\nAnswer: 169290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18b3 + -8?\nAnswer: 18a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8630897?\nAnswer: 11, 784627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*f - 55*f + 25*f + 836352. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (104\/4)\/(3 + -1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -742886 divided by 6?\nAnswer: -371443\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.55 - -2.65. Let s = -11 - -16. What is the third biggest value in 3, s, -2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-10)*h)\/h)\/h)\/h)**(-3\/7) assuming h is positive.\nAnswer: h**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3107\/3 + 1027. Calculate the common denominator of 47\/7 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/15)\/((-3)\/30). Let i = 0.06 + 0.04. Which is the closest to -3? (a) i (b) -2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 15, 3*k + 40 = -k + 4*s. Let p = 0.053 - -0.147. What is the biggest value in p, 8, k?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*c**2*n**3 + 11800*c**2*n**2 + 9*c*n**2 + 1328376*n**3 wrt c.\nAnswer: -108*n**3 + 23600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 19. Let d be f(-10). Is 2\/359 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*a**3 + 242*a**3 + 265*a**3 + 260*a**3 - 1010*a**3.\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 4, x: 2, n: 1, i: 1}. What is prob of picking 1 x and 1 v?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*o + 24, 0*o - 7 = -o + r. Suppose o*c - f = 16, -8 = c - 3*f - 0*f. What is the least common multiple of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166962.\nAnswer: 2, 3, 27827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 38*t**2 + t - 1. Let q be b(-1). Let m = q - 70. What is m rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 5:18 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)**2*-2 + -1 + 3 + sqrt(17).\nAnswer: -32 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*j**4 - 2*j**2*v**2 + 2*j*v**2 + 39 wrt j?\nAnswer: 144*j**2 - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = -6. Suppose 0 = 3*b - 0*b - i. Let q(f) = f**3 - 6*f**2 + 3*f. Determine q(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5 - 532*z**4 - 93961*z**3 - 5616942*z**2 - 21357180*z - 20989800 = 0. What is z?\nAnswer: -195, -138, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 12. Suppose 11*o = 14*o - 231. Calculate the greatest common factor of x and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(-1\/5)))\/(v\/v**(3\/23))*v*v*v*v**(-33)*v*v*(v**(-1\/43)*v)\/v assuming v is positive.\nAnswer: v**(-148809\/4945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 2*i. Let c be y(-2). Let d = 8 - c. Let w(p) = p**3 - 7*p**2 + 9*p - 3. Let a be w(6). Solve 0 = d*u - u - a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/24491 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 8\/3*x**3 + x**2 + 3*x**4 + 1\/3*x**6 - 16 + 0*x + 8\/5*x**5. Factor d(k).\nAnswer: 2*k*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -59*q + 711. Give p(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19\/(-4)*(-11 + 7). Let m(b) = 6*b + 21. Let h be m(f). What is the highest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*k - 9, -99*k - s + 1 = -100*k. Suppose -13 = 3*u + 2. Sort 1, k, u in increasing order.\nAnswer: u, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkkk when four letters picked without replacement from {k: 9, p: 9}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cyccycyccy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 1520.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 10, 0.1, 1, -45?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10*l - 40 = 0. Suppose -12 = k + 2*w + 2*w, -l*w = 15. Let y = -6 + 5. Sort 5, y, k, -3 in ascending order.\nAnswer: -3, y, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 3*p**2 - p - 1. Let s(x) = 2*x**3 - 3*x**2 - 5*x - 13. Let f(d) = s(d) - 4*y(d). Let m be f(4). Solve 4 - 1 = -m*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*o + 195*o = 84*o + 31*o. Let n(u) = u**3 - u**2 - u + 2. Let t be n(0). Solve o = -2*y + t*h, -h + 2 = -2*y + 3*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 538*j**3 - 711*j**2 - 4*j. Let x(t) = -539*t**3 + 712*t**2 + 5*t. Let u(d) = 5*b(d) + 4*x(d). What is the third derivative of u(z) wrt z?\nAnswer: 3204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45533 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -397 divided by 1.\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -443, -971, -1697, -2609?\nAnswer: -3695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 1 + 4*o**2 + 5*o + 22*o**2.\nAnswer: 26*o**2 + 5*o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 - 16*l**2 - 6 + 3 + 763*l**2 as a*l**2 + u + f*l and give a.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16588327 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(4\/7)))**46\/(l**4*l*l**(-3\/5)*l) assuming l is positive.\nAnswer: l**(731\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from jbx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/5)*p**(-12) assuming p is positive.\nAnswer: p**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -408, 1, 5 in ascending order.\nAnswer: -408, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -852841 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72711, 72722, 72741, 72768?\nAnswer: 72803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10154 + 9846. Is o <= -291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111692267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 436 - 422. What is the biggest value in g, -4, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 22640516?\nAnswer: 67921548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -0.1, -1\/3, 64?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -1b?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.691493\nAnswer: 0.691493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 3615369983.\nAnswer: 3615369987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 t when four letters picked without replacement from {c: 6, t: 3, b: 4, l: 4}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1776897 + 2517324. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 125, -5, 4.\nAnswer: -5, -3, 1, 4, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 31057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2867\nAnswer: -2\/2867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 350.686 centuries?\nAnswer: 35.0686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v - 26388 = 43*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofsossfsrr. Give prob of sequence sofs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1218\/11 + -19191\/176. What is the common denominator of f and (-186)\/16 + ((-20)\/(-16) - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 83 - 81?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 131, 2, -10 in decreasing order.\nAnswer: 131, 2, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 45 - 755*y - 64)*(5*y - 3*y - 4*y).\nAnswer: 1510*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6076 - -6035.11. Let x = 1.51 - y. What is x rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 14*q = 5*u + 6, 0 = -4*q - u - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 58*f + 1375. Give v(-21).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -299d (base 16) in base 8?\nAnswer: -24635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5b9 (base 12) to base 8\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2354*x - 9 = -2349*x - 2, 2*x = -6 + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 18854 - 53918. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from shbnmss.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 140*t - 21. Let f be a(3). Suppose -8*s + s + f = 0. What are the prime factors of s?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*l + 9. Calculate the lowest common multiple of 26 and l.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5769*v**2 - 6020 wrt v?\nAnswer: 11538*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 4*z**2 - 13*z + 7. Determine n(7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from cuuhuccqcccuhuhccccc?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1494 + -10)\/(57363\/(-57364) - -1). Suppose -66071824 - s = -28*m. What is m rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8925 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16587, -33175, -49763, -66351, -82939, -99527?\nAnswer: -116115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 78 = 4*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-516)\/(-4) + -1)\/(9\/(-2)*1220\/2745)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108549?\nAnswer: 3, 7, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 19*c + 1292. Let f be y(-1). What is the highest common factor of f and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87.8 - 87.79999431. Round i to 7 decimal places.\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-27)\/5*-1 - 2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72.4 + -72.139. Round i to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 11 = -2*u - 2*u, 0 = -2*u + 2*w + 6. Suppose 5*g - 6 = 39. Suppose -g*h = -h - 112. What is the smallest common multiple of h and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 361525 and 3325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 89029221*0.2\nAnswer: 17805844.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 + v. Let g(r) = -8*r**3 - 27*r + 14*r + 8 + 19*r - 6*r**2. Let w(q) = g(q) - 6*u(q). Differentiate w(k) with respect to k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -342, -496, -650, -804, -958?\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 0*h - h)*(18*h**4 - h**3 + h**3) - 3*h**5 + 3*h**5 - 3*h**5.\nAnswer: -75*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -12*w. Let f(x) = -2*x**2 + 13551*x - 97. Give f(i(t)).\nAnswer: -288*t**2 - 162612*t - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11840*x**3 - 6*x**2 + 9*x + 9. Let i(g) = 2462719*g**3 - 1246*g**2 + 1869*g + 1869. What is 3*i(m) - 623*q(m)?\nAnswer: 11837*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1184, 3956, 8626, 15194, 23660, 34024?\n\"Answer: 949*u**2 - 75*u + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4886 - -4885.8. Let h(m) = m**2 + 8*m + 9. Let v be h(-6). What is the fourth smallest value in x, v, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 77*w - 73*w + 150*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20014.\nAnswer: 2, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3475.7 - -3639. Let q = 157 - w. Which is the second smallest value? (a) -3 (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 7:09 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 66182341 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21997 or -22013?\nAnswer: -21997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*p + 5*p - 193*p - 1760 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51408365 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aytt when four letters picked without replacement from tqqtqtttqqqqtytya.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 6) + 5 + -2. Let i = 6 + j. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 18 - (20 - (4 - -22)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2773*u**3 - 1219*u.\nAnswer: 16638*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/3)\/(-8))\/((-13)\/195)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -60. Suppose r - 47 = -o*j + 66, 3*r = -2*j + 66. Suppose 40 = g + j. Solve k = -2 + g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 31507?\nAnswer: 31507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/451 + -8\/41. What is the second biggest value in 135, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-184)\/(-36) + 3 - (29 - 21)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(2052)*-2)\/(2*sqrt(75) + sqrt(75) - sqrt(9)\/(sqrt(3) - sqrt(48))).\nAnswer: 90*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 + 3*v + 8. Suppose g + 4*h = -14, 0 = -h + 160 - 163. What is i(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-66)\/(-88))\/((-1)\/(3\/(-27))). Let v(f) be the second derivative of 0 - t*f**4 + 0*f**2 - 4*f + 0*f**3. Let p(x) = 2*x. Give p(v(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) -2\/33 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 10*j - 1. Let a be o(9). Let x be (7 - 5)\/(4\/a). Let v(m) = -2*m - 5. Calculate the remainder when 17 is divided by v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 2*n + 14)*(8*n + n + 0*n) + (26*n - 26*n + 6*n**2)*(-2 + 2 - 1) to k*n**2 + a + q*n and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(38\/4 - 0). Let u = 2 + o. Let l = u + -7. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 20 = -4*p, 4 + 0 = -3*p + 2*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.472 - 0.028. Let j = 45.997 + 0.003. Let u = j + f. Which is the closest to 0? (a) u (b) 0.1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1249 divide 32945399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 2*m**2 - 3*m - 3. Let f be z(3). Let s = 1 - f. Solve 0 = s*k + 4 - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -23163 - 1925. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 - 20*h**2 + 34*h + 56 = 0.\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3000 is divided by 537?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4192 not equal to -4194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -35, -66, -103, -146, -195, -250?\n\"Answer: -3*g**2 - 16*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f + 57. Let i(k) = -11*k + 50. Determine -7*i(u) + 6*l(u).\nAnswer: 11*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 = -0. Suppose -g*t = -5*r - 40, -6*r - 10 = -r + 2*t. Let d = 18 - 21. Let x(m) = m**2 + 4*m - 4. Let b(v) = -3*v + 3. Give d*x(u) + r*b(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.1076 - 5714857121.\nAnswer: -5714857114.8924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -4.9. Let z = 7 - o. Let l = -3\/61 - -76\/305. Put z, l, -3 in increasing order.\nAnswer: -3, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 3*o - 2*o)*(6 - 3 + 3)*(-8 + 2 - 16) in the form w + l*o and give l.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i = -21898 - 39855. What are the prime factors of i?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**3 - z + 1. Let i be f(1). Which is the third biggest value? (a) 0.4 (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351 divided by -117.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 41*w**2 + 29*w - 49. Let x be v(20). Suppose -x*m + 126*m + 30 = 0. Solve 0 = -3*q + q - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2310*i - 2323*i = -2453620000. Round i to the nearest 1000000.\nAnswer: 189000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**5\/20 - k**4\/6 - k**3\/3 + k**2 + 151*k. Let z = -4 - -6. Give d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 10834.\nAnswer: 21668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -10. What is the units digit of (q\/3)\/((-6)\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -844517*u*w - 20*u + 39851042*w wrt u.\nAnswer: -844517*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119624*i*j**3 + 7*i*j**2*w**3 - i*j**2 - 5*i*j*w + i*w + 56*j**3*w**3 + j**2*w**2 + 3*j*w**3 - 4*w**3 wrt j?\nAnswer: -717744*i + 336*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-411)\/(-9) + 1)*(-4)\/72. Let a = q + 1483\/270. Find the common denominator of -43\/22 and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 24. What is the closest to -1 in -6, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128243\/6487)\/257*(-1 - 8\/(-10)).\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002094 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - 475 = 18*u. Suppose -r + 6*r - 160 = 0. Solve -r = -4*w - 2*s - s, w = -5*s + u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 9*g**2 - 15*g + 14. Let j be a(7). Suppose 0 = j*k - 5*k. Solve 5*t + 19 = -k*y + 4*y, 4*t - 3*y + 15 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*s + 2*s + 3, 3*o - s - 3 = 0. Is o equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3 + 2213.47.\nAnswer: 2209.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 229*j**2 + 301*j\/3 + 8.\nAnswer: (3*j + 1)*(229*j + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10639485 and 686880.\nAnswer: 7155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-2)\/(-3)) + 0. Suppose 5*g = -4*o + 110, 5*g - 40 = 4*o + 30. Let a = 268\/15 - g. What is the third biggest value in 4, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:56 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 2*p**2 - 6*p - 5. Let c be u(-2). What is the third derivative of c*w**3 - 8*w**2 - 7*w**3 + 14*w**6 + w**2 wrt w?\nAnswer: 1680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131383856 or -131383854?\nAnswer: -131383856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/((y\/((y**1\/y)\/y))\/y))*y*y**(-3)*y)\/((y\/((y\/y**(-1\/4))\/y))\/((y*y\/(y*y**(1\/2))*y)\/y)))**(-1\/5) assuming y is positive.\nAnswer: y**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1219709520 by -5.\nAnswer: 243941904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9596161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -146, -1047, -3480, -8213, -16014?\n\"Answer: -128*w**3 + 2*w**2 - 11*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.22298441 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001433 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*(-108)\/8 + -4. Let l be (-6 - -6) + y + -2. What is the tens digit of (2 - (-77)\/2)*2 - l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3269*f**2*u**3 - 1782*f**2 - 2*f*u**2 - 1992*f*u - u**3 - 51*u**2 wrt u?\nAnswer: 19614*f**2*u - 4*f - 6*u - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 7:51 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 - 5*m + 8. Let g(h) = 9*h**2 + 9*h - 15. Suppose 6*v + 16 = -20. Give v*g(a) - 11*j(a).\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 2}. Give prob of picking 2 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13254850 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**2 + 0 + 0*d**3 + 1\/12*d**4 + 0*d. Let k(s) = -2 - 4 + s + 6. Calculate b(k(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 9)*(7*w - w - w - 4*w + 6*w - 4*w + (4*w - 4*w - 2*w)*(-4 + 4 - 2) + 2*w - 2*w + w) in the form h*w + y and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-910)\/(-150) + (-1)\/15. Let h(o) = -o**2 + 9*o + 10. Determine h(t).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 + 1. Let a be w(1). Suppose -4*v + 4 = -a. Let n be v\/6 - 5\/15. Solve n*b - 13 = -2*b + 5*z, -4*b + 3*z = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 732172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*i + 2, 5*p - 5*i - 33 = -13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t - 63 = -15*t. Let x = t - 51. Calculate the remainder when x is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = w - 3*t, 0*w - 4 = w + 5*t. Suppose -g = 13 - w. Suppose 77 - 17 = g*d. Calculate the remainder when 36 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0515874 + -0.01841257. Let r = -0.07 - x. What is r rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 6201297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**7\/210 + 293*x**5\/30 + 1599*x**3\/2 - 5579*x**2. Find the first derivative of y(o) wrt o.\nAnswer: -4*o**3 + 1172*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 58*p - 63*p + 533, 4*p + d = 2*p + 214 for p.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9587475*k**2 - k. Let l be j(-1). Suppose -c = -5*c + l. Suppose 9103131 = -5*n - c. What is n rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -20013?\nAnswer: -13322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1527531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2\/7 - 395798913*w\/7 + 791597838\/7 = 0. Calculate w.\nAnswer: -131932973, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 6*g**2 - 10*g - 3. Suppose -1 = -t - 9. Is u(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(192)*-1*2 - (5 + 0 + sqrt(768) + sqrt(768) + -2))*1.\nAnswer: -3 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.102 + 1.127. Let y = 1 - h. Let c = y + 0.0249908. Round c to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) + 2\/6. Let z be j\/(-3 + 2 + -3 - -6). Let p be (-4)\/6*(-36)\/6. Sort z, -2, p, -5 in increasing order.\nAnswer: -5, -2, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 41. Let q be (j\/(-2))\/(63\/(-14)). Which is the closest to q? (a) -3 (b) -5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -10028075613807.1.\nAnswer: 10028075613806.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 8*i**2 - 10*i + 17. Let r(k) = k**3 + 4*k**2 + 3*k + 3. Let h be r(-4). What is the remainder when x(h) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)\/(m\/m**(8\/3)))\/(((m\/(m*m**12))\/m)\/(m**(-12)*m)) assuming m is positive.\nAnswer: m**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/8 and 21\/592?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 592*d**2 + 113*d - 8. Is s(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)\/d)\/((d*d**(-5))\/d)*(d**(1\/11)\/d)\/d**(-8) assuming d is positive.\nAnswer: d**(233\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*t - 22. Suppose 1369 = t*x - s, 0 = -2*x + 5*x - 4*s - 835. List the prime factors of x.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose -20 - 245 = 53*i. What is the smallest value in i, j, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -46 - 38. Suppose u*f = 22*f - 376. What is the highest common divisor of f and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*w + 5 + 10 + 183*w - 15.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 42. Suppose -v + p = v. Find the second derivative of -6*r - r**2 - r + v*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 1807798323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 27 = -5*v, -3*z - 15*v = -19*v + 21. Which is the second biggest value? (a) z (b) -8 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155908614 to the nearest integer?\nAnswer: 12486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109540 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) -1 (c) 516 (d) -10 (e) 1 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q - 4. Let d(h) = 3*h + 3. Let w(n) = -4*d(n) - 3*j(n). Let u(m) = 122*m - 21*m - 34*m - 41*m. Determine u(w(l)).\nAnswer: -156*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*s - 14 = 783 + 35 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 233, 0.4, -3\/7, -0.2.\nAnswer: -3\/7, -0.2, 0.4, 6, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86008035049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 7:49 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - 3.01. Let u = s + 3.5. Let h = 601935 - 601944. Which is the nearest to 3? (a) 0.3 (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99768.51 years to millennia.\nAnswer: 99.76851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/24)\/((-10227)\/1948)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*r - 39 = 0, -4*r + 5 - 44 = -3*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-297) + 3\/(135\/(-46))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 - 30*t**2 - 25*t - 3. Let p(h) = -h**3 + h**2. Let y(z) = -4*p(z) - s(z). What is the second derivative of y(i) wrt i?\nAnswer: 6*i + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 + 8*w**2 - 4*w - 5. Let l(r) = -r**2 + 10*r - 4. Let n be l(10). Let f be k(n). What is the derivative of -31*b**4 - 3 + f + 29*b**4 wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1464 and 313388.\nAnswer: 114700008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 10*s - 55. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*f + 5. Let h(q) = -39*q - 4 + 20*q + 15*q. What is the least common multiple of f and h(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141 + -233. Let j = 96 + l. Let h be (-1)\/12 - 1\/4. What is the nearest to 0.1 in 5, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 27 = 4*v, 17*v + 84 = p + 30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 446954359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.61107 micrometers in kilometers?\nAnswer: 0.00000008461107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.398465 minutes?\nAnswer: 563907900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 59*r**3 - 224*r**2 + 220*r.\nAnswer: -r*(r - 55)*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 12*f + 1680. Let i = f + 257. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11583*r**2 - 3*r**3 + 11584*r**2 - 25*r + 18*r - 120*r to b*r**3 + i*r**2 + q*r + n and give q.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164905929 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -17. Suppose r = b*r - 92. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (5 + 113))\/(-10)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1607354 by 43442.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - a?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u = -192 + 31 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*g - 0*r + 5*r, -g + 26 = 2*r. Suppose -5*k = -2 + g. Put 4, k, 3 in ascending order.\nAnswer: k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/n**2)**(2\/5)*(((n\/((n\/(n\/((n**(-1)*n)\/n)))\/n))\/n*n)**(-2\/9))**(5\/11) assuming n is positive.\nAnswer: n**(-1406\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 - 16*l**2 + 422*l - 4104. Give o(10).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1 + 2*d**2 - d - 15*d + 2*d**2 + 3. Does 12 divide t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -24*4\/(96\/(-6)). Let k = 13 + p. Calculate the highest common divisor of 190 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-17)\/(170\/30)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 r when three letters picked without replacement from srsssrr.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y + 45. Suppose -y = 22*q - 27*q. Solve -q*r = -3*r - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 2 - (-1 - -5 - (-2 + (11 - 9)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 81. Let y = z + -41. Is y equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/((-21)\/(-630)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 20*n**2 - 2*n + 7. Suppose 6 - 9 = -a. Let p be x(a). Let m = p + -91. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21711.1736*-5.\nAnswer: -108555.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24484508?\nAnswer: 2, 223, 27449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Suppose 2*v + 8 = g*v. Suppose p = v*q + 8, -p = -2*p - 2*q + 38. What is the greatest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - (-121 - (-24 + 39))) + -22\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -92, -102, -124, -164, -228?\n\"Answer: -q**3 - 3*q - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 2. Suppose -q - q + 23 = 5*t, -3*q + 2 = t. Let k(a) = 1. Let j(m) = q*u(m) - 2*k(m). Let d(y) = -2*y. Calculate j(d(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44868023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, v: 3, g: 10, f: 2}. Give prob of picking 4 g.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2)*(3*q - 5*q + 4*q) + 0*q + q + q - 2*q + 0*q + 3*q)*(-4*q**2 - 3*q**3 - 3*q**2 + 2*q**3).\nAnswer: q**4 + 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 11. Find the second derivative of -24*g**3 - 4*g + 0*g + 24*g**3 + 3*g**d wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 6 - 6. Suppose 15 = 5*l - 0*k - 2*k, d*l = k + 15. Suppose 38 = 5*h - l*b - 22, b = 4*h - 33. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b - 3\/7*b**4 + 3\/7*b**3 + 6\/7*b**2 + 0.\nAnswer: -3*b**2*(b - 2)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292 + -256. What is the remainder when i is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 (base 11) in base 12?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2614*s + 2515*s - 1386 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from wiwawwwnwnwnwwywwn?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*t + 12 = -175*t - 3*w, 5*t = -4*w + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2780765.\nAnswer: 5, 13, 179, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6476 to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2. Let d(f) = -335 + 9*f + 335. Give g(d(m)).\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 6. Let i(a) = -90*a - 80. Let s be i(-1). Determine x(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 20. Let v be f(-15). Let n be ((-14)\/(-35))\/((-2)\/v). Suppose -3*l + 68 = -n*l + i, l = -4*i + 62. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588347840 rounded to the nearest 1000000?\nAnswer: 1588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from opn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -38815 divided by 35?\nAnswer: -1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + -1*sqrt(180))*-5.\nAnswer: -30*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11329238 and 698.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -20) + -12 + -19 - (5 - -1) - -1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 276*j + 798. Give g(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 2*l + 3 + 3, 5*s + 4*l = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -2)\/(14\/4). Suppose 4*y + 3 = -13. Let l be (-1)\/((y + 1)\/3). Put -0.5, z, l in ascending order.\nAnswer: -0.5, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-1)\/3)\/1)\/((-4)\/12). Let f be -2 + 11 + (7 - 7). Sort 4, f, 3, w in decreasing order.\nAnswer: f, 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 33*i**2 + 38*i - 34. Let p(v) = -16*v**2 - 18*v + 15. Let s(d) = -7*p(d) - 3*y(d). Let h(l) = -4*l**2 - 4*l + 1. Calculate -7*h(j) - 2*s(j).\nAnswer: 2*j**2 + 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46401.\nAnswer: 3, 15467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.31112 rounded to 2 decimal places?\nAnswer: 2.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/3)\/(9\/(-408)). Let i = 106 - y. Let p = 201\/4 + -993\/20. Which is the third smallest value? (a) p (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2160 and 149\/78408?\nAnswer: 784080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-4) - -3) + 2. Suppose -u = n*u + 72. What are the prime factors of u\/(-40) + (-584)\/(-10)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y - y + y + 5*y to a*y + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 27 + 113 = 0. Suppose 19*o - 1080 = u*o. Is 36 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, k: 1, t: 1, c: 1, s: 2, o: 2}. Give prob of sequence ft.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**3 - 3*y**2 + 4*y - 27. Let p(m) = -29*m**3 - 18*m**2 + 22*m - 160. Let u(r) = -4*p(r) + 23*z(r). Determine u(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 57, 89, 121?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1484*299.\nAnswer: 443716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24824164*r**6 - 26054*r**2 + r + 9.\nAnswer: -2978899680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 15*f + 38. Let r be y(-13). Let o be (-7788)\/(-54) - (-6)\/(-27). What is the highest common factor of o and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346996982 bigger than 346996981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 286 - 299. Let i(x) = -4*x + 88. Let b be i(a). Calculate the highest common divisor of 40 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - -3.4. What is the closest to -2 in k, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p**2 - 24986 + 0*p**2 + 25211)*(p - p - p**2) to z + j*p**4 + t*p**3 + y*p**2 + r*p and give y.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/91, 0, 3\/7 in decreasing order.\nAnswer: 3\/7, 0, -5\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-60)*-4 - 1094\/(-5). Let f = -185 + m. What is the greatest common divisor of 323 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b. Let q(m) = 2. Calculate 3*c(z) - q(z).\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*v - 1 - 3 + 2 + 67*v.\nAnswer: -103*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - 309)*((-26)\/6 + 4). Solve -4*q = 127 - w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/4 + (-13)\/52.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4093 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 7*c + 5. Let m be y(6). Let o = m + -16. Let j = -2 - -4. Put -2, o, j in decreasing order.\nAnswer: j, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (7 - 11 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:19 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.032550735 from 3.\nAnswer: 2.967449265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, r: 15}. What is prob of sequence ppp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 308 = 838. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89901 and 1827.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2 = b, 0 = -0*p - 3*p - b + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**3 - 431*m**2 - 353*m + 116. Let l(x) = 4*x**3 + 443*x**2 + 351*x - 116. Let d(w) = -3*l(w) - 2*o(w). Let d(n) = 0. What is n?\nAnswer: -116, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8\/(-5))\/((-2)\/(-181825)*-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/18 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -4 - 4)*(-30)\/(-60).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -2.8. Let s = -0.11 + 6.11. What is the nearest to 0.1 in s, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27403903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-2)\/(-12))\/(24\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2575046\/21 or 122622?\nAnswer: 122622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 5. Let j be (-6 - -6)*(-2 - -1). Let i be g(j). Let r be 1 + (-3)\/(0 - -3). Solve r = k + 5*b - 13, 0 = -i*k + k - 2*b + 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*-2*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 729737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150 - 153 - (2 + 0 + -3)) + 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -446, -658, -870, -1082?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 41\/4 - 1\/4. Let u(d) = 137*d + 837. Let p be u(-6). Calculate the highest common factor of c and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1443*u + 292*u - 524*u + 1190*u + (-1 + 3 - 4)*(-u + 3*u + 0*u) to the form l + d*u and give d.\nAnswer: 2397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133391979?\nAnswer: 3, 7, 17, 59, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-11 - (-5 - -3 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {q: 1, m: 4, x: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 21*a + 22. Suppose 15*r + 109 + 99 = -37*r. Give o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2968 - 278 = 6*z. Let c = z - -555. Let x(y) = y**2 - 13*y - 23. Give x(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168735501 to the power of 1\/3, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 13. What are the prime factors of o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/5)\/(j*j**(1\/17)))\/(j**(-14)*((j*j**(1\/11))\/j)\/j*j) assuming j is positive.\nAnswer: j**(12763\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/10626 and -29\/894.\nAnswer: 1583274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -134, -393, -1094, -2459, -4710?\n\"Answer: -37*l**3 + l**2 - 3*l - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**2 + 20*x + 177. Let a be b(-6). Which is greater: -83 or a?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120132 (base 5) in base 11?\nAnswer: -3356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4302858692 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 868 and 6225.\nAnswer: 5403300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d + 1 + 1 + 0)*((5 - 3 - 5)*(1 + 1 + 1) - 77 + 38 + 96) as x*d + r and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 114 = 6*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -282.1420234 + -0.256.\nAnswer: -282.3980234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41543*f + 16704*f + 16701*f + 8144*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 332 = -3*q, -5*q - 2*u + 315 = -245. Solve 45*t = 7*t + q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 4\/5*s**5 + 0*s - 1 - 1\/5*s**6 + 6*s**4 - 114*s**2 - 3\/35*s**7 + 16*s**3 - 1\/112*s**8. Factor c(k).\nAnswer: -3*(k - 2)*(k + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 95*c + 146. Give v(4).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*d - 3598, -591 = -4*d - 2*h + 2993. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 81 = -9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - -1 - (-4)\/1. Let r be 304\/456 + 40\/12. Solve -o*i - r*n = -6, 3*i + 5*n = -0*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akanknkemnik. Give prob of sequence ia.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 562?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + -1) - (sqrt(208))**2*-2) + 3*1*sqrt(13)*-3.\nAnswer: -13*sqrt(13) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -24 + 22 - 34. Solve -3*d + 9 = -0*s - 5*s, -3*s - j*d = -12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.022 + -1.828. Let m = -0.15 + v. Let r(j) = j**3 + 2*j**2 - j - 1. Let p be r(-2). Which is the closest to p? (a) m (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -5. Suppose i*q - 28 = 7. Solve -5*p + 2 = -3*t, -5*t = -2*p + q*p - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -223*g - 5. Let j be t(-3). Let l = -2619\/4 + j. Find the common denominator of -79\/20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125 - 67) + -66 - 47.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 226 - 1469 - 369 = 0. What is the greatest common factor of f and 7750?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/15 - 303988*c**2\/15 + 11552607808*c\/15 - 23099136256\/3 = 0. Calculate c.\nAnswer: 10, 75992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167*0.6.\nAnswer: -100.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 11*n**2 + 490*n + 5436. Determine v(-23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*p + 0)*(-52 - 87 + 167 + (7 + 6 - 2)*(0 + 2 - 3))*(-2 + p + 2).\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3228512 is divided by 25027?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -7\/5 (b) -24 (c) 0.1 (d) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 + 102. Let o = -36 - r. Does 0 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 257*p**2 + 73*p**2 - 4*p**2 + 103*p**2 in the form s*p + d + k*p**2 and give k.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 7. Let j(k) be the second derivative of -k**7\/840 + k**6\/60 - k**5\/24 + k**4\/4 + k**3\/6 - k. Let c(g) be the second derivative of j(g). Give c(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q - 15661 + 38879 = 0. Is q a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 2*r + 1. Let w be n(2). Suppose -6*o = -2*o - 12. Sort o, w, -5 in decreasing order.\nAnswer: w, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*((sqrt(1100)*-2)**2*3 - sqrt(1100) - (-5 + (sqrt(11) + -1*sqrt(704))**2)) + 2.\nAnswer: -40*sqrt(11) + 50661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((-3*sqrt(156) - sqrt(156))*4 - sqrt(156))\/(6*sqrt(60)\/sqrt(5)))**2.\nAnswer: -68*sqrt(13)\/3 + 4333\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6088.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.8 in 2\/19, -7, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109939, -109884, -109829, -109774, -109719?\nAnswer: -109664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1936*o + 2*m + 11944 = -1935*o, -5*o = -2*m - 59688. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 348075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a + 8*a)*(-2 - 5 + 4).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -628, -596, -642, -808, -1136?\nAnswer: -1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1337 - 2*t + 8*t + 2682 + 4*t - 1340 - 7*t.\nAnswer: 3*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -8, -3, -5 in ascending order.\nAnswer: -8, -7, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4 = 0, 0 = -26808*c + 26804*c + 6*q - 21 - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 7:36 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53 - 7*a - 2*a**2 + 53 - 1 + 1 + 2*a**2 + (-a - 2 + 2)*(-4 + 4 - a).\nAnswer: a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let h(l) = -3*l - 5. Let n(u) be the third derivative of 2*u**2 + 0 - 5\/12*u**4 - 8\/3*u**3 + 0*u. Let y(p) = 16*h(p) - 5*n(p). Calculate f(y(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(12\/5))**27*(g\/(g**2*g))\/g*g\/(g*g**32)*g*g)**(-1\/11) assuming g is positive.\nAnswer: g**(-294\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.1 (b) 4\/3 (c) -9\/322 (d) 0.4 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(10\/7)*g)\/(g*g\/g**(1\/7)*g*g*g) assuming g is positive.\nAnswer: g**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 277*c**4\/4 - 5*c**3\/3 + 17*c**2 - 17*c - 569. Find the second derivative of z(h) wrt h.\nAnswer: 1662*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*m + 902 + 1183, s + 2079 = 4*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.26.\nAnswer: -0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:15 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 11 = 2*y, -26*f + 28*f = -59*y + 128 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1705347\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1461*c. Let m(b) = -71*b**2 + 2. Determine t(m(f)).\nAnswer: 103731*f**2 - 2922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let v be g(-2). Let y = v + 4. Suppose -h = -4 - y. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 12*v - 15. Let k be z(-7). Let p be 226 + (1\/(k\/2))\/2. What is p rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 27 + -10 - (2 - -10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 13*k**3 + 210*k**2 + 33*k + 20. Let i be u(-16). Solve -3*l + r = i, -2*r - 2 = 4*l - 5*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -103*c**4\/4 + 159*c**2\/2 - 64*c. Differentiate y(s) wrt s.\nAnswer: -618*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 0, 0 = 32*r - 29*r + q - 3602. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:24 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)*(30\/12 - 7). Let h(a) = -4*a + 72. Is 2 a factor of h(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 5*q - 4*f - 1360, f + 538 = 2*q. Let b = q + -268. Solve b*j + 25 = -3*j - 3*v, 0 = 5*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -5*q**2 - 1\/2*q**3 + 0*q - 1\/24*q**4 + 0. What is the remainder when u(-5) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -41, -3565, -1 in descending order.\nAnswer: 0, -1, -5, -41, -3565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213499 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1243 + 8695\/7. What is the closest to -1\/4 in -0.1, t, -0.27, 2?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 9. Let j be c(-10). Calculate the remainder when 56 is divided by (-20)\/(-6)*6 - j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - 4305\/873*14\/(-10))*-9. Is k <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215*h**2*n**2 + 492*h**2*n - h*n**3 - 2*n wrt n?\nAnswer: -430*h**2 - 6*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (259\/1968)\/(23\/1058) - (5 + 1) and 23\/12?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14.92 (b) 0.011 (c) -4826\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/60 + c**4\/8 - c**3\/3 + c**2. Let d(v) = v**2 - 6*v + 6. Let o be d(5). Let q be -1 + (0 - o) + 5. Determine k(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -23\/3*t**3 - 47 + t**2 + 0*t. Let z(x) = -2*x**2. What is z(i(k))?\nAnswer: -1058*k**4 + 184*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -2333?\nAnswer: -17\/2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.06, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -v + 781, -3*w - 3*v + 2*v = -586. Let n = -194 + w. Solve -n = -5*j - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689713178 a multiple of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5632\/384)\/(7\/(-18)). Is -39 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 813, 1741, 2679, 3633, 4609, 5613, 6651, 7729?\n\"Answer: c**3 - c**2 + 924*c - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(2\/17)\/j*j*j*j*j)\/(j*j**(-6)))**(-1\/5))**29)**(-8) assuming j is positive.\nAnswer: j**(32016\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h**3 - 2*h**3 + (0*h - h**2 + 0*h)*(-5*h - 3 + 3) + h**3 - h**3 - h**3 + (7*h - 4*h - h**2 + 0*h)*(-2*h - 6*h + 4*h).\nAnswer: 6*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2) - -2 - -14. Suppose -2 = 5*q - o. What is the lowest common multiple of 10 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11173\/188 + -173\/47. Let l(t) = -t**3 - 15*t**2 - 9*t + 14. Let u be l(-14). Let x = u + r. Is x at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 567?\nAnswer: 567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 - 18*j + 29. Let o be v(6). Solve -3*z + 0*z = -2*i + 22, z = 5*i - o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-77) - 45\/(-44).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93081 by -6.\nAnswer: 31027\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20826*g + 10414*g = -3*l - 10416*g + 41, 4*l - 3*g = -5*g + 28 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2320403445 - 1?\nAnswer: -2320403450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19703280 and 328388.\nAnswer: 19703280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (27 - (15 - 7)) + -10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*f**2 - 94*f**3 + f**4 + 15*f**4 + 3074*f**2 wrt f.\nAnswer: 384*f - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - ((7 - 7) + 79 - (-7 - 3))) + -2?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*c - 1249 = -7*h, c = 2*h - 836. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 5*k**3\/2 + 5*k**2 + 6*k + 129. Determine o(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 19?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j - 3. Let h be r(3). Let v = h - -38. Suppose 10 + v = a. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -568\/11 < -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpapfpfappaap. What is prob of picking 1 f and 2 a?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10401 = -12*h - 105. List the prime factors of h.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*y - 3*y - 6, -2*t = -y + 8. Let j(f) = 3*f**2 + 11*f - 4. Is 21 a factor of j(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(-5)*l)\/l*l**(1\/3)*l\/(((l**(-4)*l)\/l)\/l)*l*l**(-1\/2)*(l**(-5)*l**(3\/7))**(-43) assuming l is positive.\nAnswer: l**(8459\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*l + 26 = 0, l + 38 = y + 3*y. Calculate the highest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23927.08099 and -0.004?\nAnswer: 23927.07699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1028 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 127 - 0 - (-14 - -12). Suppose -z = 9*o - 1830. Suppose -o - 151 = -4*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 142.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -4*s + 14, -508*s + 2 = -512*s - 5*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(891)*1 + sqrt(891) + sqrt(891))*3 + -1 + -1*sqrt(891) + sqrt(891))*-5*-3)**2.\nAnswer: -583200*sqrt(11) + 259819200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32179, -64430, -96685, -128944, -161207, -193474, -225745?\nAnswer: -258020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2 - a**2 - 10*a**4 + 11*a**4 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14210 (base 12) to base 15.\nAnswer: 8433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {o: 2, i: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 84*u - 204. Let i be z(25). Which is the third smallest value? (a) 1 (b) i (c) 2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59251.975743 - 59252. What is r rounded to four dps?\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i - 71. Let m(b) = 2*b + 1. Let u(v) = -c(v) - 6*m(v). Let t be u(-14). Is 39 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*s**3\/2 + 4243*s**2\/2 + 4841*s\/2 + 605\/2 = 0. What is s?\nAnswer: -605, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.17 + 3.83. Let f = -4 - -3. Let d = -1020 + 1020. What is the closest to d in -2, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 159 and 711637.28.\nAnswer: 711796.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(2 + -2 + 1). Suppose -10*q = -11*q - 4. Is (q\/(-8))\/(s\/332) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l - 86. Give g(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3175, 6350, 9525, 12700, 15875, 19050?\n\"Answer: 3175*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/8))**(3\/13))**(2\/87))**2 assuming z is positive.\nAnswer: z**(-1\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**4\/12 + q**3\/6 + 3*q**2\/2 - q. Suppose x - 4*x = -0*x. Let k be j(x). Solve -10 = -c + k*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 4*d - 3. Let c be b(-2). Let h(u) = u**3 + 11*u**2 - 6*u - 6. Let m be h(c). What is the highest common factor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 - 115*b - 47. What is the units digit of o(38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1561775 or 14055988\/9?\nAnswer: 1561775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689725 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 4.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2231*t**2 - 11*t**3 - 1504*t**2 + 3735*t**2.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + 3 + -2 + 2 + sqrt(200)*3 + -2 + (-1 + sqrt(200)*-1)**2.\nAnswer: 50*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*w - 3*g, 124584*w + g = 124581*w - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/120 and -17\/4531188.\nAnswer: 45311880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2074*u**3 + u**2 + 20*u - 21. What is the units digit of n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638140630 a multiple of 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3319 (c) 29\/6 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1. Let n = 67397 + -67416. What is the second smallest value in -2, c, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q + 5. Let o(f) = 7*f + 11. Let w(a) = -2*o(a) + 5*r(a). Let n be w(5). Let c = -2 + n. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(104) + sqrt(104)*4*2)\/(sqrt(16)\/sqrt(2)*1 - sqrt(8) - sqrt(8)))**2.\nAnswer: -90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 24*h - 15652 - 4*h**2 + 7878 - h**3 + 7848. Determine j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 27.06924 nanograms?\nAnswer: 0.00000000000002706924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*r - 916, -3*r + 5*r = 3*y - 458. What are the prime factors of 2\/(-6)*(r - -19)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f - 41*f = -155694. Is 135 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.079333?\nAnswer: 0.237999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18*q**2 + 28. Let m(y) = 907420*y. Calculate m(n(u)).\nAnswer: -16333560*u**2 + 25407760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7724 - -7728. Which is the biggest value? (a) -0.2 (b) -2 (c) k (d) -0.457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, c: 6}. What is prob of sequence ccj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-37)\/(f*(f\/((((f*f**(2\/69))\/f)\/f*f*f*f*f)\/f))\/f) assuming f is positive.\nAnswer: f**(-2482\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 2. Let l be n(-1). Suppose 3*h + 15 = -4*z, -h + 0 = -2*z + 15. Let s = l - h. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -146, -417\/44, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*u - 39, -52 = -4*a - u - 0*u. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by -9*10\/(-15) + (20 - -4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-1 + -4) - -4. Find the common denominator of (-5)\/(-360)*-86*3 and 194\/(-30)*((-11)\/(-2) - a).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650\/(-260)*(-66)\/(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 284*h - 222488.\nAnswer: 4*(h - 203)*(h + 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129600\/(-175))\/81 + 11 + 5 + -3.\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = 3*h - 3, 2*i = 0. Suppose 1 + h = -g. Let v be -1 + 1 + 1 - g. Solve -13 = -v*u + 3*r, -3 = -5*u + 3*u + 5*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3207 + 0.5\nAnswer: -3206.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*i - 216 = -4*c, 2*c - 2*i = 124. Let d(w) = -3*w + 3. What is the remainder when c is divided by d(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(3\/9 + -1). Suppose 3*p - z*u = 171, -174 = -5*p + 2*p + 3*u. What is the remainder when p is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/19 + 31\/133. Which is smaller: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 116*l - 121. Let w(b) = -63 - 25 - 18 + 77*b + 26. Let p(i) = 5*h(i) - 8*w(i). What is the first derivative of p(u) wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -83, 1\/20, -0.1, -70, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5 + i**3 - 47*i**2 + 37*i**2 - 2 - 10*i. What is the remainder when 31 is divided by o(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-1) - -3) + 1. Let b = -4 + l. What is the second smallest value in -3\/2, b, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132622, -132343, -131858, -131149, -130198, -128987?\nAnswer: -127498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 15\/2, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1460 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -21370 and -0.3.\nAnswer: -21370.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045036997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*26\/(-13) + 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1 - -501*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 11. Calculate x(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -1968, -7885, -19740, -39519, -69208?\nAnswer: -110793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74414\/(-19 - -21) + -20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - 4.2. Let x = 5.1533 - 0.1373. Let i = n + x. What is i rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 1, n: 3, l: 4}. Give prob of sequence yfy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-287)\/7*2\/(-4))\/((-1214)\/(-2428))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 != -0.575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13859136 divided by -72.\nAnswer: 192488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lppy. What is prob of sequence ly?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35129307.\nAnswer: 3, 11709769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59984166 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*h, h = 3*t - 2*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 642, 1481, 2664, 4197, 6086?\nAnswer: 8337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 601310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -3*j**6\/40 - j**5\/10 + 18*j**2. Find the third derivative of l(c) wrt c.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 12\/(-3 + 1). Suppose -2*t - 2*t = -s - 79, -n*s - 96 = -5*t. Solve -3*l = 2*l - t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 2162.09.\nAnswer: -60538.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -192329 divided by -13\nAnswer: 192329\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6\/(-180))\/((-2)\/(-16))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8572 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**4\/4 + 7*b**3\/3 - 7*b + 1. Is t(6) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {t: 5, x: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -18154*j + 17*j**4 - 2 - j**3 + 18155*j + 20*j**4 as a*j**2 + l*j + x*j**3 + h + k*j**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 681*d**2\/2 + 499*d - 496. Differentiate k(f) with respect to f.\nAnswer: 681","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 14 - 32*g + 7*g + 15*g - 2 + 8*g.\nAnswer: -5*g + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 121.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -1 - (-3 - -1). Suppose -3 = -t + f. Solve -t = -0*y + 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s - 65. Let a = -15\/92 + -2\/23. What is the third smallest value in s, -1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (789 - 105 + 99)*((0*m**2 - 3*m**2 + m**2)*(-m + 0*m + 2*m) - 56*m + 56*m + 4*m**3).\nAnswer: 1566*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 876072, 876073, 876074, 876075, 876076?\nAnswer: 876077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-4))\/((-48)\/(-128)). Let a = 25 - 13. Calculate the remainder when 35 is divided by (-1 + m)*a\/(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 0*u**3 + 3\/80*u**5 - 1\/24*u**4 + 0*u**6 + 0*u**2 - 1\/168*u**7 - 18*u + 2. Factor s(d).\nAnswer: -d**2*(d - 1)**2*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5021, -9966, -14913, -19862, -24813?\n\"Answer: -g**2 - 4942*g - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i**5*x**3 - 1313988*i**5 - 2199152*i*x**3 + 6*i*x wrt i?\nAnswer: -120*i**3*x**3 - 26279760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 i when three letters picked without replacement from {v: 1, i: 2, k: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + k + k = 10, -4*r + 4*k = 20. Let q be (-2 + 28\/12)*r. Solve -5*j + 1 = -19, q = 2*i - 2*j + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(((p\/(p\/(p**(-3\/8)\/p)))\/p)\/p))\/p*p)**(-31))**21 assuming p is positive.\nAnswer: p**(-27993\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -49\/9, -2\/125, 5 in ascending order.\nAnswer: -49\/9, -2\/125, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 841*v**3\/2 + 110954*v**2 - 15310*v + 528 = 0?\nAnswer: -264, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12\/1495 - -76581\/41860. Calculate the common denominator of -17\/22 and w.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15*k + 20. Let x be l(11). Suppose -4*h = 4*s - 384, s - 199 = -4*h + x. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 v when three letters picked without replacement from jjjjjjjjjjvjvjjjjjj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21833 is divided by 3637.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10701204403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(108) + 3*(sqrt(27) + 0).\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/2 and 10*(-6)\/15 + 1275\/314.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 164320546 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(sqrt(220) + 1*sqrt(220) + sqrt(220)))\/((sqrt(40) + sqrt(160)*1)\/(sqrt(1152)*-2))*1.\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 2)\/(2 - 1). Suppose 3*k = -0*k + 5*h + 196, 0 = -o*k + 2*h + 132. Suppose 3*y = -16 + k. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-5\/2)*(y\/(y*y*y**(-1))*y)\/y*y\/y**(-2\/7) assuming y is positive.\nAnswer: y**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 1. Let r be n(4). Which is the third biggest value? (a) 2\/3 (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43824090 to the nearest integer?\nAnswer: 6620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:36 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 54 + 14 = 0. Suppose -17 = -5*q + 3. Let v = s - q. What is the lowest common multiple of v and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153709 by 41.\nAnswer: 3749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 p, 1 k, and 1 s when four letters picked without replacement from {p: 1, a: 1, k: 1, s: 2, y: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -670830*i**3 + 308413*i**2 wrt i?\nAnswer: -4024980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuujuuujjujju. What is prob of picking 2 j?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -67. Let y(w) = -1 + 88*w**2 - 4*w**3 + 5*w**3 + 1 - 89*w**2. Let g(j) = -5*j**2. Give n*y(d) - 2*g(d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*w = 1332, -w = -3*w. Let v be (-2)\/5 + j\/15. What is the units digit of v\/9*(-18)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(2*w + 2*w - 3*w) + (2 + 4 - 4)*(37 + 12*w - 37) in the form k*w + z and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 3. Let t be d(4). Let a be 0 - (2 - (4 - t)). Let y(n) = 3*n**2 + 5*n + 1. Is y(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -346886921 - 1795.\nAnswer: -346888716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19020)\/(-170) + 2*2\/34. Suppose 5*h - 13*h + m = 0. Calculate the highest common divisor of 126 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -4.6.\nAnswer: -0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110269 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 316015, 631948, 947883, 1263820, 1579759, 1895700, 2211643?\n\"Answer: y**2 + 315930*y + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2. Let z be 0 - 2\/(-5 - -3). Let q be i(z). Let d = 5 + q. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -12.3?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)*d**(-1\/16)*(d\/(d\/d**8))\/((d\/d**(2\/9))\/d) assuming d is positive.\nAnswer: d**(1079\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.164 - -0.036. What is the second smallest value in 2, -17, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + 26 - 46 - (1 - -22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*z, 8*z + 6*v - 16 = 4*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 55 = 9*w. Suppose 4*m - b - 3200 = 0, m - 4*b + 3220 = w*m. List the prime factors of m.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1345 - 0.0945. What is the smallest value in -3, 56, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 21600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 455325890 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 3*s**5\/5 + 9*s**4\/4 - s**3 - 9*s**2\/2 - 2. Find x such that r(x) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a second in milliseconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/20 and -87\/2464.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764521587?\nAnswer: 3, 23, 59, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -236207*b + 2598296. Calculate p(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(27\/4)*c\/(((c\/c**(2\/13))\/c)\/c)*c\/(c\/((c*(c*c*c**2)\/c)\/c)))\/((c*c**(-2))\/c*c**(-5\/2))**23 assuming c is positive.\nAnswer: c**(2825\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60706253, 121412498, 182118743?\nAnswer: 242824988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136540 is divided by 1036?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -427, -420, -401, -364, -303, -212, -85?\n\"Answer: o**3 - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13632 and 4398024.\nAnswer: 35184192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdfvvvvvd. What is prob of sequence vv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-356)\/988 - 40\/(-130).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 5*t**2 + 3*t - 3. Let i be h(3). Calculate the greatest common divisor of i and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380.491 less than 17?\nAnswer: 397.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 96\/15 + -4. Let k = 6 + -4.77. Let g = -1.33 + k. What is the second biggest value in -2\/7, x, g, -0.13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - 3*b + 11*b - 3*b - 2*b**2 to f*b**3 + y + d*b + v*b**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6*(0 - 4). Suppose 19 = -0*m + 3*m + k*l, 16 = 2*m + 3*l. Solve -4*o + m*o = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 13 = -21 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9 or 163\/6?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfxwxwfwwwwwxwwwww. Give prob of sequence www.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 44, -20\/49 in decreasing order.\nAnswer: 44, 3, 0.4, -20\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 982\/9 - 131381\/1206. Find the common denominator of w and -18.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -22*r + 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*f - 4*f + 188*f - 1 + 116*f.\nAnswer: 227*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -69*a + 16. Let i be (5 - (-78)\/(-24))\/(2\/(-8)). Is h(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4041311 (base 5) to base 9\nAnswer: -108401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 - 8*i. What is h(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqjd when four letters picked without replacement from {d: 2, p: 1, s: 2, e: 2, j: 4, q: 1}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1131774740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.48 - -23. Let j = 0.08 + w. Let f = -2 - -2.2. Which is the nearest to 0? (a) j (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 4*t**2 + 1. Let c be p(-4). Let b(a) = -c - 2*a**3 + 0*a + 7*a - 7*a**2 + 3*a**3. Is 2 a factor of b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5 - 123*w**4 - 3716*w**3 + 3840*w**2 = 0. Calculate w.\nAnswer: -64, -60, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (482\/3)\/(244\/61488).\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 - 50*l**3\/3 + 7*l**2\/3 + 2744*l\/3.\nAnswer: -l*(l - 7)*(l + 8)*(l + 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633182 is divided by 376?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 196914613 to the power of 1\/2, to the nearest integer?\nAnswer: 14033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 3084 = -491. What are the prime factors of s?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 2*z - 5*z)*(20*z - 4*z + 11*z)*(z + 0*z + 0*z)*(2 - 2 - z) in the form f*z**2 + r*z**4 + l*z**3 + o*z + d and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 48*q + 456. Let g(d) = d**2 + 68*d + 365. Let o be g(-6). What is the smallest common multiple of 110 and n(o)?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65899 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59.028 + 59. Let n = w + -9.972. Put 4\/3, 2, n in ascending order.\nAnswer: n, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1323 divided by -49.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35293 > 35305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(63\/(-1698))*3. Suppose -y + 2003 - t = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94716\/(-17010) - 274\/8631.\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667547954 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7573412820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10471540*j - 4831274 wrt j?\nAnswer: -10471540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x\/(x\/x**(-8))*x)*x)\/x*x*x\/x**(-6)*(x*x\/(x*x\/(x\/(x\/(x\/x**(-2))))))**39*((x\/(x\/(x\/(x**(-1\/4)\/x))*x))**(1\/7))**24 assuming x is positive.\nAnswer: x**(975\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 5*j. Let l be d(5). Let n be l - (-1 + (-1 - 10)). Suppose r + 2*r - n = 0. Solve u + o = 4, r*o - 14 = -u + o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370762351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 26397.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22212013 (base 4) to base 11\nAnswer: -2a674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*t + 10, 6 + 2 = -4*t - 4*x. Suppose 0*l = 2*l. Suppose -t*j + l*j = -46. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40\/9? (a) -13 (b) -4 (c) -1\/4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 5*c**2. Let i be a(5). Suppose -5*k - 5 + i = 0, -141499996 = -5*p - 4*k. What is p rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*t + 18*i - 15*i, 4*i = -3*t - 2. Let n(u) = 6*u**2 - 6*u**t - u**2 - 4 - 5*u - 2*u**2 + 2*u + 2*u**3. Give n(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5674 = 706*w - 501*w + 2731 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8307 is divided by 3030.\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtggggtgtggg. Give prob of sequence tgt.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 3008?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -21, -6, -2, -11\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 1\/6*g**4 + 1\/3*g**3 - 2*g**2 + g + 0. Factor u(j).\nAnswer: 2*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:50 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -2255*q + 2251*q - 8, -n - 5*q = 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45328 and 10.\nAnswer: 226640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 507 and 32902103.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9541 - -10. Let s = 9523.002 + i. Let k = 8 + s. What is k rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 2*f - 2*z, 5*z + 9 = -3*f + 156. Let j = 37 - 18. What is the remainder when f is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/5)\/(6\/(-40)). Which is bigger: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 13*o + 3 - 3.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15795091, 31590188, 47385287, 63180388, 78975491, 94770596?\nAnswer: 110565703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(1\/16)\/r*r))*r)\/(r**(-1\/10)*r)*(r\/(r*r\/(r\/(r**(-2\/5)\/r)*r)))**(1\/33) assuming r is positive.\nAnswer: r**(207\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 = 5*q + 4*c, -122 - 125 = -4*q - c. Calculate the remainder when 364 is divided by q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7091\/4052*(-12)\/910*-5.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 454.04 - 454. Which is the nearest to 6? (a) -1\/2 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*v + 1039. Let j = v - -410. Let b = -5 + 19. Calculate the highest common factor of j and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 5 = -7*s, 2*y - 4*s = 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448225527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 86 + 28 + 15 + -37 + 3 - -7?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:28 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*o + 330 = 119*o. Let w be o + 2 + 70\/10. What is the highest common factor of 12 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/3)\/2 + 5. Let d = -2 + o. Suppose -d*h + 95 = 5*i, -4*i + 5*h + 68 = -41. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5459.\nAnswer: 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 6. Let k be u(-7). Let f(v) = v - 19 - 4*v + 0*v - 9*v. Does 23 divide f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5503, 11012, 16519, 22024?\n\"Answer: -f**2 + 5512*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:28 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b. Let z(l) = -46*l - 3*l - 29*l. Let y(w) = -78*w. Let j(u) = -19*u - 169. Let f be j(-9). Let r(s) = f*z(s) - 3*y(s). Calculate h(r(n)).\nAnswer: -156*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/3969632 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/72 and -62\/33.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*d - 14, 0 = 5*d + b + 18 + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c - 69. Let a(g) = 2*g - 1. Determine 5*a(w) - n(w).\nAnswer: 2*w + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*h - 40 + 53 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - z**3 + 0*z**2 + (-z**3 + 0*z**2 + 0*z**2)*(-3 + 2 + 0) - 4*z**2 + 4*z**2 + z**3 - 300*z**2 + 300*z**2 + 9*z**3)*(-3 + 2 - 1)*(-2*z - z + z).\nAnswer: 40*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*g - 458*g + 529*g + 79352 = -1052*g for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 - 3*l. Let m(j) = 8*j**2 - 5*j. Let n(i) = 3*m(i) - 5*w(i). Is 10 a factor of n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1987 - -1989. Let f = -16\/63 - 2\/63. Which is the closest to f? (a) i (b) 0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 8*r - 12. Suppose -g = r*g - 462. Does 43 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180604 is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 + 141 - 3*w**2 + w**2)*(-2*w + 0 + 0).\nAnswer: 4*w**3 - 88*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5\/13, -341 in decreasing order.\nAnswer: -0.2, -5\/13, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0233 - -0.1233. What is the nearest to y in 0.5, -1\/4, -0.1, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 615025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -125*z**2 - 550*z - 132. Let q be c(-4). Let r = -105 + 207. Calculate the greatest common divisor of r and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020679 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -50. Calculate the remainder when 60 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 19*k - 3. Let c(m) = -m**3 + 10*m - 2. Give -5*c(l) + 3*y(l).\nAnswer: 2*l**3 + 7*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 1, -0.03, -0.3, -3, -46 in decreasing order.\nAnswer: 1, -0.03, -0.3, -3, -27, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gytytrbytbtyybbtyktb. What is prob of picking 1 t and 3 y?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 12. Let n = r - 3. Let x = 0.44 - -0.06. What is the nearest to n in x, 0.1, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1 + 0 + 4*d + d**2 + 5. Suppose 0*p + 4*p = -5*q, -5*p = 4*q - 9. Let z be r(q). Solve 5*k + 1 = z*k, 0 = 4*i - k + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + j + 2*j - 13, 3*j = -u + 17. Suppose u*z = -z + 9. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*9\/7128)\/((-13)\/312*-9).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -1. Let v = 2.1 + u. Let m = v + -2. Which is greater: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 13*l + 3. Let s(w) = w**2 - 12*w + 2. Let v(z) = 6*r(z) - 7*s(z). Let y be v(6). Let m be (-13 + (-63)\/(-5))*(-30)\/12. Sort m, y, -2.\nAnswer: -2, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480 (base 10) to base 5.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/56*(4\/(-18))\/(158\/(-13272)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 4, 1, 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*2\/(-30) + (-126)\/(-45). Solve x*g + 12 = -0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let p(g) = -11*g + 3. What is f(p(m))?\nAnswer: -11*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 6*f**2 + 3*f**2 - 11*f to the form i*f + a*f**2 + k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.8 + -11. Let h = w - 0.8. Let n be (2\/(-6))\/((-3)\/36). Which is the biggest value? (a) 0.3 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3 - 2*j + 2*j**2 - 7*j**2 + 4*j**2 + 6. Let s be g(2). Put 2, -2, s in descending order.\nAnswer: 2, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 9*y - 9. Let q(d) = d**3 + 4*d**2 + d. Let a be q(-3). What is the units digit of o(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16737 - -16737. Let p be ((-2)\/(-3))\/((-32)\/(-18)). Which is bigger: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {l: 2, w: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007 = -18871*o + 18924*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**3 - 10*t**2 + 10*t + 2. Let n(m) = -m**3 - m - 1. Let p(o) = -f(o) - 3*n(o). Let l be p(-9). Is l - (3 + -1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*49\/(-21) + (6 - 20)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 14 = 5*c. Suppose -5*w + 18 = x, 6*w + 28 = c*x + 4*w. What is the third biggest value in x, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-204)\/(-425))\/((-3)\/(30\/4)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 40, 181, 446, 877, 1516?\nAnswer: 2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -7 (b) 32 (c) 2\/19 (d) -5 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, -39, 4\/5, -1?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229353570.\nAnswer: 2, 3, 5, 571, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1131156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/764 and ((-4)\/(-24) - 736\/960)\/(75\/(-55)).\nAnswer: 19100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*f + 113, -3*f - 182 = -0*p - 4*p. Let j = -706 - -718. Calculate the remainder when 54\/(-36)*(f + 0) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -1 (c) -0.1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 160 = -4*j, -3*j = -0*j. Let k be (88\/o)\/11 - (-66)\/5. Solve 17*a = k*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*v**2 + 0 + (3*v + 0*v - 4*v)*(2 + 0 - 3)*(0*v - 9*v + 3*v) to the form u + t*v**2 + x*v and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 1, m: 1, f: 1, o: 2, p: 1}. What is prob of picking 2 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -40.5. Let t = 58 - 231\/4. Let f = 4.06 + -0.06. What is the nearest to t in g, f, -1\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 18*i + 19. Let h be g(17). Suppose -h*o + 8 = 2*q, -q + 3*q = 2*o. Suppose 3*u - 8 = 5*u. Sort q, u, 10 in ascending order.\nAnswer: u, q, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 376.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30520 (base 6) in base 13?\nAnswer: 1b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 11:08 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 0 + 0 + (0*r**3 - 3*r**3 + 2*r**3)*(2 + r**2 - 2) - 30*r**5 + 12 - 12.\nAnswer: -32*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/25 of a millennium in months?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/19, -5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 11) to base 6.\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17249)\/15414 + 5\/6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + -22*(-2)\/10. Let d(i) = 3*i - 16. Let o be d(6). What is the remainder when 153 is divided by s\/o*(-546)\/(-28)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*k*p**2*u*y + 24*k*p**2 + 50*k*p*u*y - 3*k*p*y - k*u - 20*k*y - 2*k + 803*p**2*y - 3*p - 2*u*y + 4 wrt p?\nAnswer: 122*k*u*y + 48*k + 1606*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 e, and 1 z when three letters picked without replacement from {e: 3, n: 9, z: 1, k: 6}.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elohfaf. Give prob of sequence fh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2075 = n - 3*r, -n = -3*n - 2*r - 4126. Let j(f) = 1888*f + 2. Let h be j(3). Let u = n + h. Round u to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-96)\/(-3 - 0) + 0 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/44 and 14\/55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238990972*f**5 + 106341672*f wrt f?\nAnswer: 4779819440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/13*273\/1365?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h - 45. Let o be s(-24). What is the second derivative of -2 + o*i**2 + 126*i + 3 - 191*i wrt i?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(24) - sqrt(144)\/(sqrt(6)*-2))\/sqrt(8) - (sqrt(243) - (-4 + sqrt(243)*2)**2)).\nAnswer: -303*sqrt(3) + 1976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3613 - 3092 - 521 + 17*i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i - i. Let j = -33 - i. Let d = j + 59. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742425 (base 8) in base 11?\nAnswer: 159691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w + 3. Let l = 372 + -368. Suppose 24 = -3*f + 3*r, 13 = l*f + 4*r + 5. Determine m(f).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/576870 and -143\/759780.\nAnswer: 31150980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232 + 4*q**2 - 232 - 13*q**2 + 4*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33372 - -55073. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iittttitiiitti. What is prob of sequence ttit?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 32875*i**3 + 73609830*i**2 + 59393782980*i + 7321746229560.\nAnswer: 5*(i + 149)*(i + 2142)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.5. Let d = 208 - 204. Which is the third smallest value? (a) -0.2 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -20*z + 1. Let f(c) be the third derivative of 5*c**4\/12 - c**3\/6 - 12406*c**2. Calculate -7*f(l) - 4*n(l).\nAnswer: 10*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*z**2 - 137 + 5*z**2 + 20*z**2 - 42*z**2 - 25*z**2 wrt z?\nAnswer: -138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 6:39 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -776 divided by -388\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2484 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002086728596 rounded to 6 decimal places?\nAnswer: 0.002087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n - 5. Suppose 2*r = n*r - 3. Let o(h) be the third derivative of -3*h**5\/20 - h**4\/12 + h**3\/6 + 28*h**2. Calculate o(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {r: 4, t: 4, x: 1, c: 2, w: 2, e: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 11 = 15. Let g(d) = -d - 1. Let u be g(-4). Suppose -28 = -c - u*c. Solve -c = q + 5*i, 24 = -5*q - n*i + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-177)\/(-295) - 53\/5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2 = -3*j, 0 = -101*v - 5*j - 2239 + 2128 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48322778 and -0.9?\nAnswer: -43490500.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 106589.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 13 - 3 - 4 + 1 - 3*a**2.\nAnswer: -3*a**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - -2. Let k = a + -14. Let q(i) = 2*i + 47. What is the tens digit of q(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w - g = -51*w + 1710774, -9*w - 2*g = -3079378. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 10*t**3 + 6*t**3)*(-85*t + 4*t - 38*t) to r*t + d + z*t**3 + v*t**2 + b*t**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 16*s**2 - 12*s + 84. What is j(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 2*w - 1\/3*w**2 + 1\/45*w**6 - 1\/15*w**5 + 0 + 2\/9*w**3 + 0*w**4. Factor o(t).\nAnswer: 2*(t - 1)**3*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12)\/(((-120)\/2600)\/((-9)\/(-5))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xypptxxttyx. Give prob of sequence xxxp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s - 6 - 26 = 0. Is s less than -8\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -15. Let x be y\/12 + 1\/2. Solve x*k + 6 = 0, 2*k - 2 = -2*f - 0*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-5) - 144\/240. Let x(p) be the third derivative of -1\/60*p**5 - 3*p**2 + 0*p**3 + k + 1\/24*p**4 - 1\/120*p**6 + 0*p + 1\/210*p**7. Factor x(g).\nAnswer: g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-174)\/(-4) + 2\/4. Let q = 75 - k. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1786, -3577, -5366, -7153?\nAnswer: -8938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 7 = -2*v. Let r be (-2)\/5*(-12 - v). Suppose 0 = f - 4*d + 5, f + r*d = -2*f + 41. Calculate the remainder when 20 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 188*m**2 + 35*m - 177. What are the prime factors of v(6)?\nAnswer: 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -403 + 194. Let f = -209.00102 - a. Round f to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30908.43 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 7\/12, 2, 3, -2\/3, 4, 0.5 in ascending order.\nAnswer: -11, -2\/3, 0.5, 7\/12, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -10*d + 56. Let c(i) = -9*i + 48. Let h(t) = 7*c(t) - 6*x(t). Let g(v) = -70*v - 1. What is g(h(w))?\nAnswer: 210*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {v: 6, d: 1, h: 6, x: 5}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2) - (sqrt(242)*-3 - sqrt(2))).\nAnswer: sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + y - 29. Let t(o) = -3*o**2 + o - 43. Let v = 6301 + -6308. Determine v*l(f) + 5*t(f).\nAnswer: -f**2 - 2*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 0 + 0 - 10 - 52*t + 1. Let d(z) = 13*z + 2. Let p(v) = -9*d(v) - 2*f(v). Let r(b) = 4*b. Calculate r(p(u)).\nAnswer: -52*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23545501*-0.4.\nAnswer: 9418200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5736000 divided by -23900?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 321947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 4, 2, 0.0584, 32?\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4) - (-95739)\/(-564). Is h >= -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 - 37*w + 5. Let x be i(-4). Let u = x + -210. What is the remainder when 126 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 27?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 378.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 1 = c, 6*c = 4*k + 4*c + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.488 - 2.85. Let h = t + 0.682. Which is the third biggest value? (a) -2\/3 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 0, 37, -32303 in descending order.\nAnswer: 37, 2, 0, -5, -32303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219781 - -652838\/3. Let a = -2148 - s. Let m = -7\/212 - 3555\/1484. Calculate the common denominator of m and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -5. Let g be (-481)\/(-6) + r\/6. Suppose 3*m - g = -14. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -8c?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + -2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/16 - (19470\/12)\/(-55)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 372, 704, 1168?\nAnswer: 1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 99\/(-22)*(1 - (-10)\/(-6)). Let o(v) = v**3 - 11*v**2 + 6*v**2 - 2*v - 2 + 3*v**2. Let h be o(3). Solve 0 = 2*d - 5*s + h, a*d = 2*d - 5*s - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + l - 32 = -0*l, 4*l - 11 = -3*s. Suppose 0 = -2*u - s*u + 110. Let p(m) = -26*m - 6*m + u*m. Let o(i) = 2*i. Calculate p(o(c)).\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 - 14*y**2 + y + 33. Let v be x(4). Put -2\/9, 17, v, 0.02, 1\/5 in decreasing order.\nAnswer: 17, v, 1\/5, 0.02, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21801*w - 1056449 - 2673497 = -1026622 for w.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 1.79114\nAnswer: 1.79114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 44*o**3 - 176*o**3.\nAnswer: -215*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28108 + 70321 - 42213 - 6*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 5*d + 4. Let f be n(3). Suppose 5*a - l + 12 = 0, -5*a + 12 = -6*a - 3*l. Put -5, a, f in descending order.\nAnswer: f, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1451944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 7:52 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Suppose -2*w + 2*k + 2 = 0, 5*k + 8 = 2*w - 0*k. Let s be (-3 - 1*w)*52\/728. What is the nearest to 0 in 3\/7, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 32.4065 minutes?\nAnswer: 1944390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-56)\/42)\/((-2)\/(-21)). Let u(g) = g. Let s be u(-1). Let d be s*(0 - 1) - t. Solve -d = -3*q - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56, 65, 74, 83, 92?\n\"Answer: 9*p + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*y + 714 = 0. Let q = -512\/5 + y. Let v = 2.7 + 0.3. Which is the closest to 2\/3? (a) q (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*k + 127*k - 10 = -94 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035553829 to 6 decimal places.\nAnswer: 0.003555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 3*n**3 + n - n**3 - 6*n**3 + 2*n**3 + (-1 + 1 - n**2)*(-2*n + 6*n + n) + 3*n + 2 - n**3 - 3*n in the form j*n**2 + h*n + i + d*n**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 2)*(-5*h**3 - 2*h**3 + 0*h**3 + (h**2 + h**2 - 3*h**2)*(-5*h + 2*h - 2*h)).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6305 (base 7) to base 10\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 2*k - k)*(-2*k + 4*k + 0*k) + (10*k + 37*k - 76*k - 1)*(k + 1 - 2*k + 3*k).\nAnswer: -56*k**2 - 31*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/2? (a) 5 (b) -5 (c) 2 (d) -1 (e) 1\/98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2.6 (b) 3 (c) -1.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/13 + 110\/(-130).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.47? (a) 2\/3 (b) -2\/3 (c) -2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7650 divided by 850\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -14*u + 12780. Suppose 2*d + 2224 + u = 0. What is d rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 146914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -862*v**3 + 16. Let j(d) = 432*d**3 - 7. Calculate -7*j(r) - 3*l(r).\nAnswer: -438*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, w: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(1\/4)\/u)*u)**(-10)*u**(-5)\/((u*u*u**2*u)\/u) assuming u is positive.\nAnswer: u**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7042 and 15.343.\nAnswer: -108045.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212220 (base 4) in base 9?\nAnswer: -10007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3196 - -3332. Calculate the highest common factor of 2125 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 876, 1307, 1740, 2175?\nAnswer: 2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 - 16*i + 14. Let p be f(-6). Solve 2*s = p*b + 2, 5*s - b + 2*b + 7 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o - 50. Let x be (-4*(-4)\/16)\/((-15)\/45). Let k(m) = 2. Let l(d) = x*b(d) - 75*k(d). Let g(j) = j. Determine g(l(y)).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8544110863 rounded to three dps?\nAnswer: -0.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -14 (b) -2 (c) -364 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59055 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2860180 is divided by 2860127?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -51979 divided by -1\nAnswer: 51979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 634275297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in two fifths of a meter?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -16*u + 4*u. Determine t so that -68*t**2 - u*t + 100*t**4 + 8*t**5 - 78*t**3 - 108*t**4 - 9*t = 0.\nAnswer: -2, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1137.2 or -1958?\nAnswer: -1958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081261?\nAnswer: 89, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05678772 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 124 = -3*y + 8*y, -5*y + m = 118. Let l = y + 25. Solve 0*k + l = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -84042.\nAnswer: -2\/42021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (302 + 16 - 41 + (-4 - 2 + 5)*(1 - 2 + 2))*(-2 - 5*z**2 + 5*z**2 - 2*z + z**2).\nAnswer: 276*z**2 - 552*z - 552","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 4*c**2 + 10*c - 7. Suppose -5 = -12*u + 11*u. Let q be m(u). Calculate the highest common divisor of 72 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2531747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*x = x - 28, 5*h = 4*x. Suppose 12 = h*z + 3*m - 2, 5*z = 4*m + 2. What is the third smallest value in -3, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 20 = 6*c + 5*k, -14 = -2*c + 4*k. Suppose 5*b = -5*h + 30, 3*b = -0*h - 2*h + 9. Let t(v) = -4*v**2 - v + c*v**2 + h*v + 5. Calculate t(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 475973803 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 6 = 5*q - 2*y, -4*q = 2*y - 8. Differentiate 2*h + 2*h + 11*h**q + 25*h**2 - 6*h - 2*h - 72 with respect to h.\nAnswer: 72*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -67, 25 in decreasing order.\nAnswer: 72, 25, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 - 388\/3. Which is the closest to -0.1? (a) 5 (b) -1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 146*9\/6*4\/6. Let y = 212 + h. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232 times -0.24\nAnswer: 55.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 39*p**2 - 81*p + 175. Calculate j(37).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:20 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**4\/n*n)\/n)**33*(n**(-5))**(2\/19) assuming n is positive.\nAnswer: n**(2498\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 26 = 10. Let o = 187 - 75. What is the highest common divisor of o and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 14*j**2 - 42*j - 17. Let f(t) = 5*t**2 - 14*t - 6. Let q(m) = 11*f(m) - 4*l(m). Let w be q(10). Suppose -p - w = -2*p. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 - 79. Let s = t - 34. Suppose r - 3*f = 13, 3*f = 8*r - 3*r - 29. What is the smallest common multiple of s and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 524 and 21222.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 89, 48.4, 1, -5, 0 in decreasing order.\nAnswer: 89, 48.4, 1, 0.5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**3\/3 - 51*q**2\/2 + 226*q - 4564. Calculate p(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 37*m**9\/36 + 43*m**5\/60 + m**4\/24 + 390*m**2. Find the third derivative of g(p) wrt p.\nAnswer: 62160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20365 = -5*f, -f + 815 + 3278 = -4*r. Is 53 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8742*-3.5422.\nAnswer: -30965.9124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820 divided by 4?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(4 + -6) - (-6 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 69?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (1 + 17 + -16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8981825 divided by -25\nAnswer: 359273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54\/(-9) - -3)\/(3\/(-4)). Solve -6*q = -4*q + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 - 2158*l**2 + 61308*l - 428400 = 0. What is l?\nAnswer: 12, 17, 1050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 5*a**2 - 5*a**2)*(-11*a - 5*a**2 + a + 9*a).\nAnswer: 5*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 70\/57, -7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 422352?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m*m*m*m**(-30)*m)\/m)\/(m*m**36*m)*(m\/m**(-1\/17))**(-1\/9) assuming m is positive.\nAnswer: m**(-1073\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 0.5, 14, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) -20 (c) 13.98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/27)\/(71\/(-4331)) and -31\/585.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.038 + -0.162. Let k be (-4)\/18 - (-156)\/459. Which is the second smallest value? (a) k (b) -1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1072 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 18. Let y be u(0). Let g be y\/(-7) - (-12)\/28. Suppose 0 = -4*d + 2*f + 62, -1 + 4 = d - g*f. Solve -3*i - d + 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*c**2*k**6 + 31*c**2*k**3 - 24*c**2*k**2 - c*k**2 - 2*k**2 wrt k?\nAnswer: -1200*c**2*k**3 + 186*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11048*z + 11128*z - 160 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 16*r**2 + r. Suppose 3*f + 0 = -s + 3, 3*f = -2*s. Let k(t) = t**2 - 4*t**2 + 2*t**2 - 2*t**2. Let w(a) = f*g(a) + 11*k(a). What is w(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 384744716*k - 447092728.\nAnswer: 384744716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.3853571767 plus -36?\nAnswer: -134.3853571767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807901889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 20*d + 4. Let q = -25 - -22. Let i be j(q). Find the common denominator of 115\/14 and (-1194)\/i - (-4)\/(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 52931.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80470, 160996, 241520, 322042, 402562, 483080, 563596?\n\"Answer: -u**2 + 80529*u - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 6*j**2 - 8*j - 5. What are the prime factors of s(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -617*b**3*c*h - 60*b**3 + 2*b**2*c - 4*b*c - c*h wrt h?\nAnswer: -617*b**3*c - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15623269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 2 - 2*y + 3*y - 4.\nAnswer: -5*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10381131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22077804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + i - 4. Give b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37348 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 378400 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -13194*c. Let q(l) = -2*l. Calculate q(m(y)).\nAnswer: 26388*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 9*g + 9. Let l(c) = -c**2 + 8*c + 8. Give 6*a(h) - 7*l(h).\nAnswer: -5*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + t**2 + 3*t + 5. What is the tens digit of b(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 87 + 55 = a, 4*c - 2*a - 148 = 0. Solve 0 = -c*f - 30 - 42 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 51175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 4*d - 3 - 3 + 5 = 0, 7*y + d = 44 - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3\/2, -2015, -1.03?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8003.783 millennia in months?\nAnswer: 96045396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 534063, 534064, 534065?\n\"Answer: h + 534062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*k - 84, -4*k = -8*k + 16. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, 3\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370864 is divided by 33712.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/4364 + -4399\/21820. What is the fourth smallest value in -1\/3, -8\/7, -0.4, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(561*x - 4631*x + 112*x)*(-4*x + x + x).\nAnswer: 15832*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1229501*r - 567924*r - 661603*r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(2\/109))**(-7) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -5, -2, -4624 in decreasing order.\nAnswer: 4, 3, -2, -5, -4624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 3*g - 15 + 0*g + 260 - 33.\nAnswer: -3*g + 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/(-12)*4*2. Let u be -6 + (3\/3 - -2). Let i(t) = -t**2 - 11*t - 4. Let c be i(u). Calculate the highest common divisor of l and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 5*s**2 - 2*s - 4. Let a be m(4). Let x be a + -3 + (0 - (-18 - 1)). Solve -x = -5*r - o, -4 = -r - o - o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/(-5) + (-6)\/(-10). Suppose 4*z - 7 = -5*j, -2*j + 25 = -5*z + 3*j. Which is bigger: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*b)*(-3 + 2*b**2 + 3) - b**3 + 0 + 0.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - x**2 + x**3 + 45*x**2 + 4*x - 15*x**3.\nAnswer: -15*x**3 + 44*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**5\/20 - h**4\/6 - h**3\/6 - 3*h. Let g(c) = 2*c**3 + 2*c**2 + c. Determine -2*g(b) - 3*s(b).\nAnswer: -b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.07332 rounded to one decimal place?\nAnswer: -81.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 4:11 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217483 is divided by 54007.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 60. Suppose -s*z = -6*z - 952. What are the prime factors of z?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence feth when four letters picked without replacement from eeihifiiitiekht?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 13*w**6\/180 - 79*w**5\/135 + 2*w**4\/27 - 1955*w**2. Factor o(x).\nAnswer: 2*x*(x - 4)*(39*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from lytltrttytt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.794 - 13.7. Let i = -3909.09347 + 3909. Let w = q + i. What is w rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1686.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**2 + 72 - 22 - 25 + 4*b - 25.\nAnswer: 14*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + c + 5*c + (1 + 2 - 2)*(-c - c + 0*c)*(-1 - 11 + 3) as b + a*c and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13.7742 times -14\nAnswer: 192.8388","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4 - 46. Let x(a) = -2*a**3 + 24*a**2 - 21*a - 29. Let f be x(11). Is u greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/120 + 7*v**5\/60 + v**4\/8 + 5*v**3\/6 + v**2. Is l(-5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -3, 4, 6 in increasing order.\nAnswer: -27, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - i - 2. Let b(c) = -12*c**2 + 57*c + 14. Let a(p) = -b(p) - 7*d(p). Find g such that a(g) = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 3, y: 5, h: 1}. Give prob of picking 1 y, 1 c, and 1 i.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/129, 2766, -1 in decreasing order.\nAnswer: 2766, 20\/129, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbhbbbbbh. Give prob of picking 2 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2896305?\nAnswer: 3, 5, 293, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2 - t + 6. Let s(h) = 4*h**2 + h - 5. Let f = 78 - 74. Suppose g - r - 11 = 0, -f*g - g + 10 = 4*r. What is g*z(w) + 7*s(w)?\nAnswer: -2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 3*s**2 - s. Let l be r(2). Let f be ((-2)\/1)\/(4 - l). Let p = 2 - f. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3348412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5972\/15 + -398. Which is the nearest to 0.1? (a) 1\/2 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45451 (base 9) in base 5?\nAnswer: 1432014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*d + 4*d - 13*d)*(-13*d**2 - 44*d**2 + 13*d**2) in the form f*d**3 + t*d**2 + l*d + b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 9*q**2 - 18*q - 1. Let o be z(4). Suppose 0 = 3*h + 4*t + 13 + o, h + t + 5 = 0. Solve -4 = -2*p, 0 = -h*a + 3*a + 3*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/2 of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*n - 9 = 8*n, 0 = 2*r - 3*n - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004056834 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629560*b - 4*b**2 + 629560*b + 11*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -168370 and 4264?\nAnswer: 172634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2145 - 19339\/9. Let n = 163\/36 + g. Let i = -5650 + 5651. Sort i, -2, n, -4\/15 in decreasing order.\nAnswer: i, n, -4\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 13 = 3*n, 0 = n + 6*o - 3*o - 1. Let a be n - 6\/9*-3. What is the derivative of 1 - a*p - 2 + 6*p - 2*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1.49\nAnswer: -5.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-11))\/(810\/(-1782))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2 - 863898*v = 0.\nAnswer: 0, 431949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(55\/((-9900)\/24))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*f + 13. Suppose g = -4*k - 1 + 33, f*g - 2*k - 94 = 0. Suppose 2*m - 38 = -3*x, 0 = x - 6*m + 3*m - g. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9)**(2\/13)*x**14*x\/(x*x**(-2\/41)) assuming x is positive.\nAnswer: x**(8226\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9407, -18797, -28163, -37505, -46823, -56117?\n\"Answer: 12*p**2 - 9426*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/19))**(5\/9)\/(w**(-31)\/(w\/(w**(8\/9)\/w))) assuming w is positive.\nAnswer: w**(1832\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 5:16 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-334)\/1169)\/((-3)\/(439 - -2)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = f + 3. Let k be f\/20 + 2\/4. What is the closest to 0.1 in k, 3, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4419 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 39 + 221. Let t = -16 - y. What is the highest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 3*b**4 - 52 + 52 - b**4 - 3*b**2 as i + z*b**2 + c*b**4 + g*b + l*b**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*r = -12, -51 = 12*f + 4*r - 83 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -119, -0.1, 0, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 4. Calculate x(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + c + 3*c + 0*c.\nAnswer: 4*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*d - 1\/2*d**2 + 0.\nAnswer: -d*(d - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2\/9, -190, -5 in increasing order.\nAnswer: -190, -5, -2\/9, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.111 - -67.111. Let y = -67.00000207 + u. Round y to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 8, 5, 9, -0.4 in descending order.\nAnswer: 9, 8, 5, -0.02, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3032, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.3, -36.64, 4.66?\nAnswer: -36.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let t be h*4 + (2 - 1). Solve -t = -4*c + c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x**2 + x + 4. Let r(m) = 14*m**2 + 2*m + 6. Calculate -6*j(d) + 4*r(d).\nAnswer: -4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 4 + 8*t - 6*t. Let d be j(4). Let a = d - -10. Let r(q) = q - 1. What is r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/50*(-35)\/(-21)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 172 = 145*b - 153*b, -5*b - 114 = -5*i - 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7f - 0?\nAnswer: -7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9022729181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17928 divided by -11204.\nAnswer: 4482\/2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + sqrt(12))\/sqrt(4) + -1 - -2*((sqrt(45)\/sqrt(3))\/sqrt(5) - sqrt(3)))**2 + -5 + (-1 + -6*sqrt(432)*2)**2.\nAnswer: 278*sqrt(3) + 62280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*d - 45, -r + 0*d + 12 = 2*d. Suppose -13*h = -75 + r. Solve 5*w = -3*j, -5*w + 0 - h = 2*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552647 and 1555.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4*k + 4, -16 = -4*v + 2*k - 0*k. Suppose l - 65 = -4*l. Let w = -9 + l. Solve 2*h + w*q = -12, 1 = -v*h + q - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1047 + -453400?\nAnswer: -454447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 658, 612, 548, 460, 342, 188, -8?\n\"Answer: -j**3 - 3*j**2 - 30*j + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44844 is divided by 8908?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*3*(-2)\/(-15). Let p(d) be the first derivative of -15*d**2\/2 + 1. Let g be p(x). Calculate the greatest common factor of g and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etevevttetve. Give prob of sequence eve.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -279\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*b - 114*b = 3*d - 387, -5*b + 648 = 2*d. 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 958.65 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 59258?\nAnswer: -59258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -8496.223243?\nAnswer: 8497.223243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -11. Calculate the remainder when 38 is divided by (105\/(-60))\/(-2 + 46\/v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17950 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 784498 and 422.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29645592.\nAnswer: 2, 3, 73, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*p**3 - 647913*p**2 + 86396754*p wrt p.\nAnswer: 600*p - 1295826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.46933 and 3?\nAnswer: -64.40799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*i + 17, -q = -5*i - 2 - 26. Solve 4*j - 8 = -4*o, 2*j - q*o - 2*o + 24 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -383*o - 1127943*o**2 + 1127943*o**2 + o**3 as v + d*o + a*o**2 + l*o**3 and give d.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30450 and 3675?\nAnswer: 213150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130 + 3025414?\nAnswer: 3025544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9093543, 9093540, 9093537?\nAnswer: 9093534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*d + 25, -l + 5*d + 8 = -9. Solve -2*f = -5*t + l*f + 10, 4*f = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85b4 (base 14) in base 10?\nAnswer: -23090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - 3*r + 3*r)*(158*r - 64*r + 8*r) + (-4 + 0 + 2)*(-3*r**2 + r**2 + 3*r**2) + 5*r - 5*r - 2*r**2 in the form q*r + x*r**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/22 - -45\/88. Let s = 2 + -2. Sort s, b, -3 in increasing order.\nAnswer: -3, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 4. Let b be d(-3). Let a(q) = 2*q - b + 1. Let f(u) be the first derivative of -4*u**3 - 54. Calculate a(f(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3166810 or -2?\nAnswer: -3166810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfbjjtw. Give prob of picking 1 t, 1 j, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1942 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491152*d = 490856*d + 14208 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77360 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 88*w - 32 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13171290346.3384 - 13927852398.338531. Let g = 756562372 + b. Let j = g + -320. Round j to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {f: 1, m: 1, c: 4, k: 7, i: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*h**2 - 17*h**2 - 50*h - 1 + 50*h in the form q*h**2 + u + a*h and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/30*-1)\/((-70)\/44)*10?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 13*y**5\/10 - 3*y**4\/8 - 3*y**3\/2 - y**2 + 936. Let q(a) = 39*a**2 - 5*a - 5. What is 5*i(x) - 9*q(x)?\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by (36\/(-16))\/9*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v**2 - 30*v**2 + 41*v**2.\nAnswer: -29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 6106704.\nAnswer: 6106704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0161 + -0.0439. Let u = 16.5 - 16. What is the closest to -1\/3 in u, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 5*m - 36. Let u = -1 + 30. Calculate the remainder when u is divided by m\/(-6)*48\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 778932 = -18*r + 779080, s + 42 = 2*s + 5*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 22*o - 2585 = -53*o, -2*o + 110 = -2*v - 55 + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -13*n + 123. Let k be z(9). Solve k*l = 5 + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (17472\/(-44))\/14) + -11\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4802305, 9604643, 14406995, 19209367, 24011765, 28814195?\n\"Answer: v**3 + v**2 + 4802328*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 8*u**2 - 3*u + 2. Let i be d(10). Let j = 85 + i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3 - 56*q + 96 = 0.\nAnswer: -6, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Let p(h) = 99*h - 987. Let d be p(10). Put d, 1, -5, f in descending order.\nAnswer: d, f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:22 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*x + 5576, 0 = 3*g + 5*x - 4379 - 3975. What are the prime factors of g?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2 - 45 + 43 + 3*s**2 - s - s**2. Let k be (-2)\/(-6)*0*1. Let f(q) = k + 5 + 6*q**2 + q + q. What is -3*f(r) - 8*z(r)?\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -28. Let z = q + -36. What is the remainder when z is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 102. Solve 0 = k*d - 3*d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -57.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k - 11. Suppose 3*b + 0*f - 131 = 2*f, -178 = -4*b + 2*f. What is the remainder when b is divided by g(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 1\/60*n**4 + 14*n + 15 - 2\/5*n**2 + 1\/10*n**3. Let a(u) be the first derivative of f(u). Factor a(t).\nAnswer: (t - 1)*(t + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from usmusmsuss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -60. Let z(u) = u**2 - u - 1. Let n(p) = -p**2 + 3 + 2*p**3 - 3*p**2 + 0*p**3 + 5*p. Determine r*z(s) + n(s).\nAnswer: 2*s**3 + s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 + 24*y**2 - 4*y - 8. Let w be g(12). Let z = -38 - w. Suppose -8*h + z = -14. Solve 4*c - 25 = 5*p, -c + 0*p + h = p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**5 + 604*d**4 + 49348*d**3 + 45668*d**2 - 241776*d + 146160 = 0 for d.\nAnswer: -58, -3, 1, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/2 (b) -0.0003 (c) 1216 (d) 11\/7 (e) 0.2 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 - -57. Let m be 8\/3*(-9)\/b. Suppose -3*v - 372 = -5*x - 4*v, 2*x - 144 = -m*v. Does 25 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*r - r = -4, 3*r - 28 = -4*j. Suppose -4*v = 4*i - 4, 3*i - 4 = -2*v - 0. Solve 0 = 3*l + i + j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132233 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 2, q: 10, g: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (11272\/(-6))\/((-204)\/306)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - (23 - 17).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/15)\/(1\/5). Suppose -2 = -w - 5*d, 3*d = -w + t*w - 10. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ff9 (base 16) to base 15\nAnswer: -1329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 129*m**3 - 2*m**2 + m - 1. Let t(h) = 6*h - 10. What is the remainder when p(1) is divided by t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25668 and 165528?\nAnswer: 118021464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*p + 0 + 22*p + 73*p + 0.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 4, 121808, -2 in ascending order.\nAnswer: -2, -1, 2, 4, 121808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -v - 4*s, -2*v = -v + 45*s - 296 + 76 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 1. Suppose -5*l + 5*o - 5 = 0, 2*l + o + 1 = 2*o. Suppose l = -i - 5 + 4. Calculate a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**3 + 47*w**2 + w - 10. Let n be (98\/(4 - 11))\/(-2). Is m(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98270329 + -98270317.0000002. Let k = 12 - g. What is k rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9734 and 7595.\nAnswer: 2384830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 7*j + 1\/6*j**4 + 0 + 0*j**3 + 0*j**2. Let o(q) = 422*q**2 - 227*q**2 - 233*q**2. Determine o(t(b)).\nAnswer: -152*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.4 (b) -1\/9 (c) 2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42587, 42438, 42289, 42140, 41991, 41842?\n\"Answer: -149*c + 42736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15824919.\nAnswer: 3, 11, 479543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/((-1)\/(-12)). Suppose -2*p - 3*y + 20 = -p, 0 = -j*p + 2*y + 80. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 790377 by -790377.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263812541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -69297*q - 2771871. Calculate l(-40).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 3042332?\nAnswer: 3042323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 20*q - 12 = 0. What is the hundreds digit of 1*q - (-1188)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**3\/v)*v)\/(v*v**10)*v**3*v*v*v**(-1)*v*v)**(-3\/2) assuming v is positive.\nAnswer: v**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 28 = 4*p, -8*z + p + 32 = 25. Let l(c) be the first derivative of 4*c**2 - 10\/3*c**3 + 1\/2*c**4 + z*c + 2. Let l(h) = 0. Calculate h.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*s**2 - 1884 - 18*s**2 + 10*s**2 + 354*s + 339*s - 138*s wrt s?\nAnswer: 2*s + 555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 2*r - 1. Let i be d(-2). Suppose w = 2*w - 2*j - 291, -290 = -w + i*j. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p + 13. Give f(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z + 3. Sort z, -5, 5 in decreasing order.\nAnswer: 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((2 - 0) + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 572314793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8481 is divided by 3848?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2654 + 2746. Solve 11*q - 34*q + y = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6181 - 5451. What is the smallest value in c, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 7*f**3\/5 + 408*f**2\/5 + 103*f + 114\/5 = 0.\nAnswer: -57, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15670764 and -0.1.\nAnswer: -1567076.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9325 + 9391. Solve -7 = -k*c + 67*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 + 5*c + 6. Let j(h) = h**2 - h + 1. Give 6*j(v) - o(v).\nAnswer: v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 99643.32 millennia in centuries?\nAnswer: 996433.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1976292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 2, 4, 6?\n\"Answer: 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 185 - 25. Suppose -2*l = -7*l + t. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 5. Let g(l) = -l + 4. Let w(m) = 4*g(m) - 3*y(m). Let t be w(1). Which is the closest to -0.1? (a) t (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7885980 divided by 219055.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 60 - -4) + (100 - 89 - 12)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*f - 1 + 103 - 6*f - 103 - f - 3*f + 3*f + 11 - 3*f - 11 + (-5 + 3 + 4)*(f + 0 + 0) - 4 + 4 - f - 4 + 4 - f to o + p*f and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = -84. Let i = x - -190. Suppose 0 = -5*g + h + i, -3*g - 2*h + 61 = -0*g. What is the remainder when g is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 8*g + 10 - 4*g + 5*g**2 - 5. Let s be x(-2). What are the prime factors of 4\/(-12)*4*-2*s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 + 5 - 3 - 2*n - 4. Suppose -5*a + a = 8. Let g(p) = -10*p**2 - 7*p - 7. What is a*g(t) + 7*h(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 3. Let u(a) = a - 2. Let r(y) = 2*b(y) + 3*u(y). Suppose -s - 2*w - 7 = 0, 11*w = 3*s + 6*w - 23. Let o(f) = 1 + f - s + f. Calculate o(r(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/(-42) - (-28)\/98. Which is the nearest to 1? (a) -1\/14 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 1228*z**2 + z + 1245*z**2 - 2 to t*z**2 + d + s*z and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egco when four letters picked without replacement from gcoensc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 + 110.2. Let f = h + 159. Let j = -286.1 + f. What is j rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308\/551 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8549295 rounded to one decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0, 227, 10, -3 in increasing order.\nAnswer: -4, -3, 0, 1, 10, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34405109 to the nearest integer?\nAnswer: 5866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/765 (c) 0 (d) -4 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4215*b - 29920. Determine z(-7).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1545 (b) -4 (c) 2\/15 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 17203408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4 + 6. Suppose 0 = 5*f + s + 1, -3 = s + 2*s. Let q = 3 - f. Solve 0 = -y*u - q*o + 12, u - 4*o + 2 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 12*z + 77. Give t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 3. Let x be r(8). Suppose -26*p = -x*p + 6. Suppose -p*d = -7*d. Solve 2*m = 4*j - 28, j + 0*j + m - 1 = d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 840404487 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2934 and -5.817113.\nAnswer: 2928.182887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280130873?\nAnswer: 11, 101, 252143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-399)\/(-988) + (-2)\/13. Suppose 3*s = 2*t - s + 12, 12 = t + 4*s. Which is the closest to h? (a) -1\/5 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + 6*d + 3*d**2 + d - 5*d + 0*d**2 + 0*d**2 - d**4 + (0*d + d - 3*d)*(-4 - 2*d**3 + 4) + d**4 + 3*d**4 - 3*d**4.\nAnswer: 5*d**4 + 3*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, 329, 1219, 2485, 4139, 6193, 8659?\nAnswer: 11549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 20*i**7\/21 + 394*i**6\/3 + 13065*i**5\/2 + 1499875*i**4\/12 + 1373125*i**3\/6 + 13*i + 103. Factor x(m).\nAnswer: 5*m*(m + 1)*(2*m + 65)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112904 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37167940*y**3 + 4*y**2 + 264651127?\nAnswer: -111503820*y**2 + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 3*s**2 + 2*s - 3. Let f be k(4). Let j(i) = -5 - 4 - 13*i + i**2 - 2*i**2 + 0. What are the prime factors of j(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/63 (b) 5 (c) 8543\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3022 - -1033?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z\/z**31))*z*z*z**(-4)*z*z)\/((z**(1\/2)\/z)\/z)**(16\/11) assuming z is positive.\nAnswer: z**(-295\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 38*s + 159. Determine h(0).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 1. Let z be j(-7). Suppose 5*y + z = -9, 0 = 5*d - 5*y - 10. Let u = d + 5. Solve 2*l = 3*o + 5, 4*l + u*o = 5*o - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185638635 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 4569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -32*f + 40*f - 11. Suppose -3*y - 168 = -7*y - 4*r, 0 = 2*r - 4. Solve -4*d - 5*o = y, 2*d = -2*o - 11 - f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/15 - -2 - 19\/38. Let c(w) be the second derivative of w - 2\/15*w**3 + 0 + 0*w**2 + t*w**4. Factor c(i).\nAnswer: 2*i*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 12, 0 = -3*j - 18*y + 13*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 8*s**3 + 0*s**2 + 21*s**4 - 4*s**3 - 23*s**4 + 0*s**2 in the form y*s**4 + d*s**3 + b*s + w*s**2 + r and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuuydur. What is prob of picking 1 u and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 10 + 4)*(-17*v**2 - 3 + 2 + 20*v**2) to f*v + y + j*v**2 and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 418 = 100*s + 20, -3*y + 4*s - 13441 + 13477 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -4*h + 6*h. Let c be 2*(h\/(-8) + 2). Let w = 16 + c. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 2)*(-1 - 1 + 0) + 0 + 1 - 2 + 1 - 4 + 4)*(-4 + 4 - 3*l).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 359*q**4 + q**2 + 12233*q + 461375467 wrt q.\nAnswer: 1436*q**3 + 2*q + 12233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 42*r. Let d(g) = -21*g. Let z(b) = 7*d(b) + 3*h(b). Let p(s) = -111 + 111 + 0*s**2 - 2*s**2. Give p(z(m)).\nAnswer: -882*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(6)*-1))\/sqrt(10))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/146308 and 121\/5556.\nAnswer: 438924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j - j + j)*(1 + 2*j**3 + 0*j**3 - j**4 + 0*j**3).\nAnswer: 6*j**5 - 12*j**4 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 16*p**2 - 7*p**2 - 3*p**2 - 7*p - 2 - 2*p**2 = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-336)\/(-9))\/(-7))\/(8 - 20)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 15 = -h, 5*y - 12 + 21 = -2*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/((-1)\/((-6)\/(-4) + (7 - 30\/4))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/2 - 681*c**3\/2 + 5967*c**2 = 0.\nAnswer: 0, 18, 663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 88*m - 4 + 0.\nAnswer: 88*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 5)\/(((-55)\/(-10))\/11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 5*w - 2 - 1 - w + 1 + (-1 - 4 + 4)*(6*w - 2*w - w) + 9*w + 4*w - w to t + r*w and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2\/4 - 6417*j\/4 - 8040 = 0. What is j?\nAnswer: -5, 2144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 36. Let r = 49 + -97\/2. Sort 5, v, 0.1, r in descending order.\nAnswer: 5, v, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2070 and 3923892?\nAnswer: 19619460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 + 115. Suppose -d*p + 19*p - 93 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c - 116*c + 26*c + 32*c + 29*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5736231 divided by 1912077\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 15 = 0, 2*s + 54 = -r + 525. Suppose s = 5*a - 2*x, a = 6*x - 2*x + 62. Calculate the remainder when 82 is divided by a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22158.3244 + -0.8\nAnswer: -22159.1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/69))\/l*l*l\/((l\/l**(-5))\/l))**(-35) assuming l is positive.\nAnswer: l**(7175\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 - 5*w**4 + 5*w**3 + 5*w**2.\nAnswer: -5*w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.00105 + 31. Round d to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**2 + 14472*n - 14468 = 0.\nAnswer: 1, 3617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 425, 839, 1253?\n\"Answer: 414*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2*j - 69 + 71, 0 = 2*z - j - 8 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -26*u**2 + 2*u + 6. Suppose -2*c = c + 12. Let f be w(c). Is 2 + 1\/(-2)*f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -390.5996884 + 390.6. Round h to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 1 - (5 + -11). Suppose 3 + w = -2*o. Let j(g) = -g - 1. Determine j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -22.8. Let b = g - -1.80021. What is b rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -1111\/5, -0.7, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 232 + 77 + 84 - 11*w**2 + 71.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4+-9006.21\nAnswer: -9002.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 11.01. Let h = -52.6 - -53.1. Which is the closest to 1? (a) -2 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - 4*n + 3*n)*(-8 + 124 + 42)*(-3*n - n + 5*n) in the form x*n + b*n**2 + t and give b.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -13*x**3\/3 + 26*x + 34. Let b(o) = 53*o. What is 3*b(r) + 7*c(r)?\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/11)*z)\/z**(2\/9)*z**0*z\/z**(1\/3) assuming z is positive.\nAnswer: z**(233\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, b: 3, n: 1, t: 6, h: 1}. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.1 (b) 9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 52. Let z(d) = d. Let s be z(i). Let j(p) = 62*p**2 + 3*p + 2. What are the prime factors of j(s)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 23*y + 26. Let m be u(13). Suppose -b + m = 12*b. Find the second derivative of 33*x**3 - 22*x**3 + 12*x**3 - b*x + 15*x**3 wrt x.\nAnswer: 228*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Suppose -8*y = -3*y + 10. Let b be 6 + (-1)\/y*-6. Let q = b + 1. Give c(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4060846 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/9)*f)**41*f*f\/(f*f\/f**3*f)*f**19\/f assuming f is positive.\nAnswer: f**(631\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 10:14 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8062 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 23. Let p be a(-23). Suppose -1 - 8 = -3*b. Solve -r + p*r = -b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-9 + 10)) + 4 + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*x - 196, -185 = -290*x + 287*x + m. Calculate the remainder when 1442 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - o + (2*o + 2*o - 6*o)*(-4 + 3 + 4))*(-o**2 + 2*o**2 + 0*o**2).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -0.00148.\nAnswer: -0.0000888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**2 + 16*j - 2. Let a be f(3). Put 3, 16, a, 5 in descending order.\nAnswer: 16, 5, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 1809463 - 4544537 = 0. Round a to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-309*(784\/(-24))\/(-49))?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -3, -163.15, -29, 6, -4 in descending order.\nAnswer: 6, -1\/3, -3, -4, -29, -163.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 346, 407?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6761, -6745, -6729, -6713, -6697, -6681?\n\"Answer: 16*f - 6777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2414961?\nAnswer: 3, 89443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6386, -12763, -19140?\n\"Answer: -6377*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/(u*u*u**6\/u*u))\/u)*u**4\/u)**(-23))**39 assuming u is positive.\nAnswer: u**(-11661)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 3. Let g(b) = -3. Let m(n) = -4*g(n) + 3*j(n). Let s be m(2). Let x = -0.1 - 0.1. Put -2, x, s in ascending order.\nAnswer: s, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (146 - 53) + -96 - -113\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - 9. Let y = k - -1. What is the second derivative of -2*j + 3*j + 0*j - y*j**4 + j**4 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, x: 10}. Give prob of picking 2 j.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 17*m**2. Let x(k) = -2*k**2. What is i(x(g))?\nAnswer: 68*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(-40)\/550\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 16*w**2 - 17*w + 4. Let i be s(17). Let j = 12 + -8. Suppose -l = -p - 2, p - 4*p - 3*l = -24. Solve j*c - i = p*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -5, -27, 3568, -2\/13, 1\/12, 2\/13?\nAnswer: 3568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7197 - 7278) + (-2 - 0) + -42\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3.8, 4, -4, -162 in ascending order.\nAnswer: -162, -4, 0, 3.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111220 (base 3) in base 4?\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143443 is divided by 307.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10819*i + 10283*i = 11792 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.27 - 13.56. Let f = p + 3.89. What is the fourth biggest value in 5, -2, 0.06, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (-22 - -18)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = -750. Let k = b + 380. Suppose -2*w - k = 2*i, -5*i + 96 = -3*w - 99. Round w to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/(4\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 27. Let w = -5 - h. Suppose t - w = 4. Calculate the greatest common factor of 77 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*f - 10 = 0, -f = -17*i + 12*i + 20. Suppose -5*n = 2*q - 35, q = i*n - n + 11. Solve -q = 3*k - 6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)\/b)\/(b*b**(3\/10)\/b))\/(b**(-7)*b*b\/b**0) assuming b is positive.\nAnswer: b**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171)\/36*4*((-23)\/(-69))\/((-2)\/30).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + 1 + sqrt(1100) + 3 + -4).\nAnswer: -15 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5486*c**3 - 6702*c**3 + 1 + 1221*c**3.\nAnswer: 5*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*d**6*k**2 + 2*d**6*k - 19*d**2*k**2 - 4*d*k**2 wrt d?\nAnswer: -3600*d**3*k**2 + 240*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5464.834 weeks?\nAnswer: 38253.838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85530 divided by -6.\nAnswer: -14255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 7:16 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516133 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(80)*2 - sqrt(80)) + 4 + 4)**2 + 1 + 5 + 4)*-1.\nAnswer: 64*sqrt(5) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 21*f**4\/4 + 3*f**2\/2 - 25*f - 24. Find the first derivative of m(y) wrt y.\nAnswer: 63*y**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362 equal to 23525\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.026 (b) -374 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 3*n - 25. Calculate the remainder when 106 is divided by n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:08 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 599 + -597. Let l(p) be the first derivative of 16\/15*p**3 + 7\/5*p**b + 4\/5*p + 1\/5*p**4 - 1\/15*p**6 + 12 - 4\/25*p**5. Factor l(s).\nAnswer: -2*(s - 2)*(s + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**2 - 40*x + 8. Determine h(-7).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**3 + 5564*u**2 - 268396*u + 262836 = 0. What is u?\nAnswer: 1, 49, 1341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -220.048?\nAnswer: 22.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/455 and -89\/64554?\nAnswer: 4196010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -20. Which is smaller: -0.03 or w?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.5 and 594 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(95) + (sqrt(95)*-1 - sqrt(95))) - (sqrt(95)*-3 - sqrt(95))*2)\/(5*2*(sqrt(320)*4 - sqrt(320))).\nAnswer: sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/10 - 27*n\/10 = 0. What is n?\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (675\/(-360))\/((-5)\/4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*c = 6*c, 3*y + c - 5 = 0. Suppose 4*v = 0, 2*v + 76 = -t - y*t. Let u = t - -24. Calculate the remainder when u is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/288 or 156?\nAnswer: -1\/288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1897686196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = t - 3 + 10, -4*l + 5 = 3*t. Find the third derivative of 2*f**2 - 3*f**3 - 2*f**2 - 5*f**2 + 4*f**l wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1790\nAnswer: -1\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 1 - 1 + f + f - 3*f + (-f + 0*f - f)*(2 + 2 - 3) - 99*f + 71*f + 116*f)*(0*f - 2*f + f) to u + p*f + t*f**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4312228*c**2*l**3 - 4*c**2*l + 477842*c wrt l?\nAnswer: -25873368*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 495014\nAnswer: -3465098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000965 rounded to 6 decimal places?\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8*m\/(m**(9\/2)\/m))**16 assuming m is positive.\nAnswer: m**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -27. Put -4, f, -0.4 in increasing order.\nAnswer: -4, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7564)\/(-70) - (154 + -107 - 14787\/315)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4 + (3 - 2 + 1)*(5 - 4 - 2))*(8*a**4 + 2*a**4 + 2*a**4).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -1596\nAnswer: 7980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 293509 times 61?\nAnswer: 17904049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((960\/(-252))\/8)\/((-1)\/(-3)*1). Which is the biggest value? (a) -6 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 330, 1121, 2444, 4299, 6686, 9605, 13056?\n\"Answer: 266*g**2 - 7*g + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2329, 4627, 6917, 9199, 11473?\n\"Answer: -4*v**2 + 2310*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1102101?\nAnswer: 1102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 6*w - 6. Let x be j(3). Let g = x + -23. Let h be (-22)\/(-56) + 1\/(-4). Which is the smallest value? (a) 0.3 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 808255 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 51*i + 3. Let u(w) = 19*w + 1. Let y(a) = -3*t(a) + 8*u(a). Let h(x) = -4 + 5*x**3 - 2*x**3 - x - 2*x**3 - 2*x**3. What is -h(l) + y(l)?\nAnswer: l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0*(-1)\/3*-3)\/(-2). Suppose f = -6*j + 17 - 5. Suppose -15 = -5*p + j*p. Solve 0*i - 25 = -p*i, 27 = -l + 5*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17509182, -35018349, -52527516, -70036683, -87545850?\n\"Answer: -17509167*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20.506 and -199.\nAnswer: 4080.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 + 41*g + 24. Let d(n) = -15*n**2 - 122*n - 73. Let p(q) = 6*d(q) + 17*f(q). Find k such that p(k) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**(1\/4)*g)*g**(-3))\/(g**0)**(-46))\/((g\/g**2)**(-17))**(-2\/183) assuming g is positive.\nAnswer: g**(-2243\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1084560 - -1845532. Let r = -339028 - m. 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 highest common factor of 2 and 129847.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 83. Calculate the remainder when j is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17829550 times 0.5\nAnswer: -8914775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**6 - i**4 - i. Let f(u) = 18*u**6 + 15*u**4 - 6*u**2 + 15*u. Let c(d) = -f(d) - 15*n(d). Find the third derivative of c(z) wrt z.\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*v - 3. Suppose -v*l + 4 = -0*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 29 - 11. Sort -1, r, -0.5.\nAnswer: -1, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*i - 92 - 123 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*j**5 - j**4 + 336*j**3 + 12*j**2 + 1014*j + 6.\nAnswer: -5160*j**2 - 24*j + 2016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**6\/576 + 11*t**5\/960 + t**4\/16 - 9*t**3 - 2*t**2 + 3. Let n(a) be the first derivative of l(a). Factor n(x).\nAnswer: -(x - 3)*(5*x + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3\/15 - 259532*w**2\/15 + 26975104*w\/15 - 701212096\/15 = 0?\nAnswer: 52, 129662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/94720 and 41\/33103160.\nAnswer: 2118602240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7 = -4*o + 13, -2*v + 13 = 3*o. Suppose -t + 16 = o*t. Let u = -1 - -10. Solve -h - u = -t*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let j = x - -5. Is ((-6)\/(-4))\/(j\/10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 7*g - 18 = 0. Let n(b) = b**2 + b + 1. Let j be n(g). Suppose -11 = -4*h - j. Solve -4*m = -h*o - 30, -5*o - m = -5*m + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -44, 4, -3, 5 in descending order.\nAnswer: 16, 5, 4, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -125694\nAnswer: 5656230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6 = 6*c - 7*c, -20 = 2*b + 6*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -456*z + 440. Give k(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 + 219. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - 2) - ((25 - -34) + -65).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doa when three letters picked without replacement from {a: 2, t: 4, m: 1, g: 3, o: 2, d: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - y - 28 = 0, -5*g + 3*y = 7*y - 13. Let z be (-4)\/g*10\/(-4). What are the prime factors of (0 + z)\/((-2)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 17*i + 13. Calculate the remainder when 171 is divided by l(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 52, 137, 292, 541, 908, 1417, 2092?\n\"Answer: 4*m**3 - m**2 + 14*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**5 + 374*t**4 + 1050*t - 2 wrt t.\nAnswer: -20*t**3 + 4488*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xffl when four letters picked without replacement from ffgxzflzzl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = 4*u, -33*y + 31*y = -4. Solve -2*o - 25 = 13*v - 18*v, 2*o = u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 5. Suppose -5*m + s + 16 = 0, -2*s - 20 = -4*m - 3*s. Suppose d*f - m*c - 40 = 0, 2*f - 5 = -c + 6. Sort 3, f, -2 in decreasing order.\nAnswer: f, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/45 - (-18)\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 21 - 25 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**4\/6 + a. Let s(c) = -313*c. Let n(z) = -363*z. Let w(p) = 6*n(p) - 7*s(p). Determine w(l(u)).\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069\/67 greater than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022021221 + 21021?\nAnswer: 10022120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-9 - 3) + -7 + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-16)*72\/60?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*j + 9 + 711. Solve -8 = 3*d - j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*n + 6*n = -1608 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1818224 by 454556.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06512581 and -0.01.\nAnswer: 0.0006512581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*j = -6 + 19, 4*j + 5 = -y. Let i = y + 21. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 66913152.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 - 11*h**2 + 15*h + 2. Let w be m(2). Solve -3*g + 23 = w*x, -12 = -4*x - 2*g + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**3\/3 - 3*s**2 - 4*s - 3. Let m be l(6). Let p be 1*3*m\/(-12). Solve -2 = -x - p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by 78\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 - l**2 - l**2 + (-2 - 2 + 2)*(-3*l**2 + l**2 - l**2) + (-3*l + 3*l - 2*l)*(-4*l + 5*l + 1 - 3).\nAnswer: -l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8878738575 to 4 dps.\nAnswer: 0.8879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -68365 divided by 16\nAnswer: -68365\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (19469*b - 39473*b + 19002*b)*(3 - 3 - 1) in the form t + u*b and give u.\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5358 and 1922448614?\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84868038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w + 10. Let t(i) = -i + 1. What is 2*q(o) - 20*t(o)?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26460 and 324?\nAnswer: 79380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1464905 by -292981.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -541\/8 and -69 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 7)*(-2)\/4. Suppose -15 = -3*l - 5*u + q, -2*l + 18 = -4*u. What is the remainder when (16\/(-10))\/(2\/(-15)) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159900 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 - 2*n - 12. Give r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*w**5 - 5878*k*w**2 - 5*k*w + 458*w**5 + w**3 wrt w?\nAnswer: 60*k*w**2 + 27480*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 568 (c) -4\/159 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {u: 3, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36274667?\nAnswer: 11, 13, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 131 = -19. Let h(l) = 4*l + l - k*l + 5*l. Let b(g) = 3*g. Give h(b(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(170) - 1*sqrt(170))*-1 + sqrt(170)))\/((1*sqrt(20))\/sqrt(2) + sqrt(60)\/(sqrt(6) + sqrt(12)\/sqrt(2)))*-1.\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*(sqrt(700) + (-1 + sqrt(700))*-4 + sqrt(700))**2 + sqrt(700)*-1 + -3 + ((sqrt(700) - (0 + sqrt(700) + -5)) + sqrt(700))**2).\nAnswer: -36680 + 1560*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.16 - -2.84. What is the smallest value in y, -3, 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, r: 1, m: 6}. Give prob of picking 4 m.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5462 + -951.983?\nAnswer: -945.4368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 2*l - 4*l)*(-20 - 23 + 19) to p + v*l and give v.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7719697.\nAnswer: 23, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 12217. Let k(b) = -29*b - 2. Determine j(k(y)).\nAnswer: -87*y + 12211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 424 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/23*r**2 + 0 + 20\/23*r.\nAnswer: -2*r*(r - 10)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24352*u**3 + 14*u**2 + 28*u + 3?\nAnswer: 146112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 18*c**3 + 15*c**2 + 72*c - 108.\nAnswer: 3*(c - 3)**2*(c - 2)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -110840251 <= -110840251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1361\/6 - 228. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 12 = 2*i, 238*s - 237*s + 18 = -3*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + 5 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4522 + 2693 = 0. Let k = c - 420. What are the prime factors of k?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3090\/515*((-1)\/(-2))\/1*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1622202, -1622204, -1622206, -1622208?\nAnswer: -1622210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 7. What is the units digit of w(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81df9 (base 16) in base 8?\nAnswer: -2016771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5. Let s be (-4 + 1)\/3*b. Suppose s = -5*y + 15, d - 30 = -0*d + y. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 12. Calculate the remainder when 49 is divided by v(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 3.6. Let g = -3.2 - v. What is the third smallest value in -3, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -7. Which is greater: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 4*s**2 + 4*s - 1. Let o be a(3). Let f be (o\/(-1) - 0) + 6. Differentiate -4 + 3*j**f + 6 + 1 with respect to j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99325070 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/9 + (-45)\/27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * -0.97897\nAnswer: -0.1076867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 - 10 - (0 + -2) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 191 = 4*u + 259, 48 = -3*u - 3*i for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 3*q - 3*q - 2*q - 2*q**2 + 2*q + (-3 + q + 3)*(q - 4*q + q) + (0 + 4 - 3)*(2*q**2 + 3*q**2 - 6*q**2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25596 is divided by 2501.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -764*m**3 - 2*m**2 - 1058 with respect to m.\nAnswer: -2292*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 440, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.179 + 0.821. What is the closest to x in 0.5, 0.3, 31?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -409*l**3 - 408 wrt l?\nAnswer: -1227*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447 is divided by 1431?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 4*u + 15*u - 8*u - 5*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112010765621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p = -2. Let w be (0 + -2 - -3)\/(-1). Let l(d) = -d**3 - 7*d**2 - 7*d - 3. Let q be l(-6). Sort p, w, q in descending order.\nAnswer: q, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**8\/28 + 256*u**7\/7 - u**5\/10 - 13*u**4\/12 + u**3\/6 - 41*u**2 - 3*u - 131. Find the third derivative of j(s) wrt s.\nAnswer: -240*s**3 + 92160*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 40 = -30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41926012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**(2\/3)*c)\/c)\/c)\/c**(2\/69))\/((c*c*c**(4\/13)*c*c)\/(c*c\/c**(-26))))**(2\/41) assuming c is positive.\nAnswer: c**(41854\/36777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 859*m**5\/20 - 1183*m**3\/6 - 2*m + 503. What is the second derivative of r(s) wrt s?\nAnswer: 5154*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1828.\nAnswer: 5\/1828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 11*p**2 + 5*p - 6. Suppose -f = -5 - 4. Let t be q(f). Suppose -2*k = k - t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-2 + (2 - -8))) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151846 and 10718.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 5.1\nAnswer: -5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 92627152899 minus 0.3?\nAnswer: 92627152898.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 4. Let u(l) = -3*l + 1. Let v(s) = -t(s) + 5*u(s). Calculate v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3\/5, 2, -6485, -1\/4 in increasing order.\nAnswer: -6485, -12, -3\/5, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9259 + 0.0741. What is the closest to c in 0.3, 4, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 39. Suppose -7*m = -159 - 1164. Let t = 188 - m. Put p, 9, 5, t in decreasing order.\nAnswer: 9, 5, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 13*a + 16. Let z be g(12). Suppose -2*c + z*c - 73 = -b, -5*b = -5. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1184, -1179, -1174, -1169?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + 6 + -1 + -18 + 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = 2*a. Let d be (a\/(-3))\/4*3. Suppose -4*v + d + 11 = 0. Solve v*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169868 - 169875 - 2*z - 169867 - 169867 + 679477.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -22493*x. Let i(z) = -2700*z. Calculate s(i(h)).\nAnswer: 60731100*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + sqrt(1872) + -1 - (sqrt(52)\/sqrt(4) + 3) - (-5 + (1*sqrt(1573))**2).\nAnswer: -1572 + 23*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 7. Let y be g(6). Suppose 14*o - 16 = 6*o. Put o, 22, y in increasing order.\nAnswer: y, o, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*s = -51, 84*m + 4*s + 6 = 82*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7be7d (base 16) to base 2.\nAnswer: -1111011111001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {p: 1, b: 1, x: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 3. Let a = 68.4 - 68. What is the closest to -0.1 in a, k, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8404.128 micrometers in kilometers?\nAnswer: 0.000008404128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -61*a - 423. Let h be v(-7). Solve 0 = 4*z + h*y + 20, -4*z + 0*y + y = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbpbbbbbpbbbpbbbbp. What is prob of picking 2 p and 2 b?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 5*t - 346. Suppose 4*l + t = 7*l. Let x(u) = 35 - 6*u - l. Let d(g) = -g**2. Calculate d(x(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6145 + 2688. Calculate the highest common factor of 146 and k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/7 (b) -7.9 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 7*v**2 + 9*v - 16. Let h be n(-4). Sort h, 2, -3, 46 in descending order.\nAnswer: 46, 2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82171944, 82171942, 82171940, 82171938?\nAnswer: 82171936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1399\/65 = 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + z + 2. Let h = 188 + -168. Suppose -n + 11*n - h = 0. What is the least common multiple of t(4) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-214)\/(-12)*22\/(5808\/9) and -95\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 2*f + 4. Let t be q(-3). Let b(r) = 3 - 6 + 0*r + r + 2. Let n(z) = -5*z. Let v(g) = t*n(g) + 3*b(g). What is the derivative of v(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - -7) + -10 - (6 - 0) - (-10 - 22)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30883013 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(11) - ((sqrt(110) + 2*sqrt(110))\/sqrt(10) + sqrt(11))) + 3 + sqrt(275)).\nAnswer: 9 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399556 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f. Let g(j) be the first derivative of j**3 + 5. Determine g(o(m)).\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3 - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52, -39, -26?\n\"Answer: 13*f - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 5*t**5\/12 - 43*t**4\/24 + 10*t**3 - 2*t + 8. Let r(g) be the third derivative of z(g). Differentiate r(o) wrt o.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 190.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8110083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l + l - 3*l. Let u(c) = c + 13. Let n be u(-12). Let j(s) = -3*s. Let r(y) = y. Let h(b) = n*j(b) - r(b). Give i(h(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4*-3*-6*(0 + sqrt(612))*-5)**2 + 0).\nAnswer: 317260800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 1. Let f(a) = -a**2 + 4*a + 2. Let h be f(4). What is the remainder when 7 is divided by l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1965)\/(13671\/(-2280) + 6). What is b rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t + 52. Let s = t + 15. What is the derivative of 6 - f**2 - 3 - f**s + 6*f**2 wrt f?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444076343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/(-13986) - 16\/296?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4118 is divided by 139.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1 + 13 - -3) + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 140*o**2 - 135*o - 556. Give k(139).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370969905?\nAnswer: 3, 5, 331, 74717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**4\/2 + 2*c**3 - 8*c + 102. Factor r(i).\nAnswer: 2*(i - 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 12556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 1315, 2\/5, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 - 21*m**2 - 5370*m + 37590. What is c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*q + 118508 - 12476. Calculate the remainder when q is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 897*m - 1565262. Give a(1745).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -16. Let w = v - -3.1. Let g = -0.900023 - w. What is g rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 21*r - 7110. Is 36 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 493 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*u - 18. Let w = 30428 + -30065. What is the greatest common divisor of w and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - 5*f + (0 + 1 + 0)*(2*f + 2*f - 2*f) + 3*f + 0*f - 2*f)*(8*f - 18*f - 20*f)*(-5 + 3 + 0 + (1 + 0 - 3)*(-1 + 2 + 1)).\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -322.6743136 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 0 + -5 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*n**4 + 54*n**4 - 47*n**4 - 2 + (-1 + 2*n**2 + 1)*(-7*n**2 + 3*n**2 + 3*n**2) in the form q*n**2 + g*n**3 + u*n + m*n**4 + d and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 84 + 444. Suppose -2*g - t = -8*g. Solve -4*z = g - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.8877*18\nAnswer: 195.9786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 29126816.54 to the nearest 10000.\nAnswer: 29130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 3*d + 108 + 5*d - 15*d. Let c be v(14). Let i(x) = -x**3 - 5*x**2 - 2*x + 8. Determine i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/27)*w)\/w**(-1\/6))\/(w\/w**(-2)*w**9) assuming w is positive.\nAnswer: w**(-581\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2847359 litres?\nAnswer: 284.7359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t - 4*j, -8*j - 8 = -2*t - 9*j. Solve t*w + 5*k = 30, 40 = -13*w + 17*w - 4*k for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -38.53. Let p = w + 0.03. Let r = 2628.73 - 2628.43. Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 - (-10)\/(-3). Let g(v) = -v**2 - v - 1. Let n be g(z). Let l = 18276 - 18282. Which is bigger: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - -7b3b1?\nAnswer: 7b3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 795599792 to the power of 1\/2, to the nearest integer?\nAnswer: 28206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and (-6)\/2 + -1 - -26.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.83041 rounded to the nearest integer?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 28*t + 80 - 40 + t**3 + 24*t**2 + 75. Let b be f(-23). Solve -2*d + 7*d - 15 = b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 117*f - 56*f + 30 - 1 - 65*f. Let u be v(7). What is the closest to -13 in u, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65909, -65882, -65851, -65816, -65777, -65734?\n\"Answer: 2*d**2 + 21*d - 65932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 1, -1.237, -0.05?\nAnswer: -1.237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let s be 55\/5 + -15 + 6. Let l = 113 + -68. Let u(m) = 30*m**s - l*m**2 + 38*m**2. What is u(d(h))?\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -21*l + 2. Let i be b(-3). Let u = i - 104. Do -40 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -5, -5, -3, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 - -a?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohoh when four letters picked without replacement from {h: 6, o: 6}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) -281 (b) -100 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2031300540 + -2?\nAnswer: 2031300534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6942, -6841, -6740, -6639, -6538, -6437?\nAnswer: -6336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 24*d + 32. Suppose -y + 55 = 4*w, -2*w + y + 2*y = -17. Is b(w) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 6*z**2 + 250*z + 1501. What is i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.4 + -19. Let f = 1.099 - 0.019. Let t = f + b. What is t rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*25\/(-50).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hek when three letters picked without replacement from {h: 1, l: 5, k: 2, e: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -10. Let w be (v - -5) + 28\/(-8). Let r = 0.29 - 0.39. Which is the biggest value? (a) r (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65247061 to the power of 1\/3, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 29 = 3*t - 150, t - 3 = 0. Let p(k) = k**3 - 14*k**2 - 15*k + 8. Let f be p(15). Is 26\/7 - f\/l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 1. Let d be o(2). Suppose -d*g - n + 22 - 8 = 0, -4*n = 2*g - 2. Solve 0 = -g*t + 5*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*w - m + 4, 15 = 5*m. Let f be (w - -4)*(-20)\/15. Let a(o) = o**2 + 4*o + 1. Calculate a(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/36594 and -197\/210?\nAnswer: 1280790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 34. Let o(x) be the first derivative of x**2\/2 - 4*x + 1. What is the remainder when u is divided by o(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 984.2823 centimeters?\nAnswer: 9.842823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2443, -0.4, 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 300153 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32036\/55075 or -2?\nAnswer: -32036\/55075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 4:10 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 14. Suppose -8*l = -n*l - 126. Let t = l + 12. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 7*q + 0*q**3 - 3*q**3 + 0*q**3 - 2*q**3 + 3*q**3 + (3*q**2 - 5*q**2 + 5*q**2)*(-2*q - 2*q + 3*q).\nAnswer: -5*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/(-28)*(-12)\/5. Let q(i) = i - h*i + 9*i. Let b(s) = 3*s**2. Give q(b(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*12\/528*2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 9*s - 18. Let z be j(-10). Let b be 378\/72 - (-2)\/z. Suppose -u + 5 = 0, 3*u - 15 = -5*n + b*u. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from ebeejeteetneeteneet.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 4:04 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 6:04 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 * 2.16\nAnswer: 47.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) -17 (c) -780\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 426*m**3 - m**2 - 1990*m - 7. Let x(g) = 852*g**3 - 2*g**2 - 3982*g - 13. Let f(k) = 26*o(k) - 14*x(k). What is the second derivative of f(y) wrt y?\nAnswer: -5112*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31214341 is divided by 491?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Let g = y - 4.3. Put g, 1, 4 in ascending order.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111 (base 3) to base 11.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/386)\/((-90)\/239284). Let a be 5\/(-25) + -194*(-2)\/1930. Let s = g + a. What is the common denominator of s and 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 + 10*i + 24. Let t be b(-6). Solve 1 = -m + 2*l, 2*m - 4*m + 2*l = t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 3:39 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1543342 = 282*c - 3020546. Calculate the greatest common divisor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339 (base 10) to base 14.\nAnswer: 1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 1307*r + 1405*r + r**2 to a*r + o*r**2 + d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lelrwmmrrlmlllemlee. Give prob of sequence mw.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 = -7*i + 2*i, -4*a + 1 = i. Let b be 5*(16\/(-10) + 2). Suppose 2*l = -2*t - 3*l - 1, 0 = 5*l + 25. Solve b*d - i*d = -t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 + 2*i**2 - 4*i - 8. Let s be z(4). Find the common denominator of -50\/3 and ((2 - 8) + 7)\/(6\/s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aalamallmalam. Give prob of picking 3 a.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4 + 340*p + 149660*p + 4. Let c be x(-2). Round c to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 5*s**2 - s + 7. Suppose 35 = 4*l + 3*c, -4*c + 35 = 2*l + c. What is r(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*c**4 + c**2 - 222*c.\nAnswer: -1584*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*i + 0*i + 135*i.\nAnswer: 216*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8588?\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 26*z**2 + 14*z + 17. Let p be f(-12). Let a = p + 1384. Is 29 a factor of ((-6)\/(-18))\/((-3)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55*(1 - (-24)\/(-40)) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 12:00 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*t - 1336, 4*m - 6*m + t + 891 = 0. Suppose 93 = -5*s + 2*n + m, -n = -s + 70. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 2, c: 1, f: 1}. What is prob of sequence cg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l + 2. Let g(s) = 5*s + 4. Suppose -o = -5*j - 59, 89 + 195 = 4*o + 4*j. What is the remainder when o is divided by g(l)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493*k - 495*k + 816 = 0. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.899999747 + 19.9. Round v to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 239231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.28, -1.3 in descending order.\nAnswer: 0.28, -2\/11, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + 4.1. Which is the smallest value? (a) -2\/7 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - 11. Let q = y + 3. Let d = -23 - q. Solve c + 13 = 6*g - 2*g, g - d*c = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)\/((-2)\/26) - -1. Let a(h) = h**2 - 17*h + 45. Let b be a(l). Suppose b*i = 2*i + 4. Solve 3*m - 6 = -p, 13 = i*m + 5*p - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*k - 221*k = 57 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**4\/5 - 128*a**3\/5 - 304*a**2\/5 + 1088*a\/5 = 0.\nAnswer: -4, 0, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13109 is divided by 727?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9069096 decades to millennia.\nAnswer: 0.009069096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*l**2 - 300*l**2 - 9354*l**3 + 888*l**2 - 7715*l**3 - 291*l**2.\nAnswer: -17069*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1834)\/5)\/(2\/(-10)). Let w = 108494753\/22 + -4933416. Let y = w + t. What is the common denominator of -9\/2 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 43\/4 of a microsecond?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlnnllnfnwfznzfznn. Give prob of picking 1 f, 1 z, and 1 n.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15039 and -10.0999?\nAnswer: 15028.9001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 5 - 271. What is the remainder when n is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4 = 3*m, x - 6 = -3*x - m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 3254334?\nAnswer: 3254337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*t**2 - 114*t**2 - 120*t**2.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 8*s + 9. Give i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**5\/y*y)))**(6\/13)*(y\/((y**2*y)\/y))**(-43) assuming y is positive.\nAnswer: y**(589\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 9. Let b be u(0). Let f be (16\/24)\/((-2)\/b). Suppose 4*q - 22 = -3*l + 2, -l = -f*q - 8. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.3. Let k = 45 - 42. Let b(m) = 3*m - 4. Let c be b(k). Sort -0.1, h, c.\nAnswer: h, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 8*n + 6. Give g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56071 greater than 56042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**3 + x**2 - 3*x - 3. Let t be r(3). Suppose -2*q - 309 = -5*i, 4*q = 4*i - 0*i - t. Suppose 477 = 4*g - i. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose 146 = -2*h + 4*h. Suppose -5*l + h = k*x, 0*l - 5 = -l + 4*x. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 + -3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/30*(4 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -311, -300, -285, -266?\n\"Answer: 2*z**2 + 5*z - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64 - 13 - 30)*(-2*q + 4*q - q)*(-q - 4*q + 4*q) in the form n*q**2 + z + j*q and give n.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.28578 millilitres in litres?\nAnswer: 0.04828578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 w when three letters picked without replacement from {w: 3, q: 15}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.4658 + -0.0342. Let k = -7.1 - o. What is the closest to 1 in -47, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/2, 35.82, -50, -2\/5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n**3 + 15*n**2 - 12*n + 1. Let h(p) = 4*p**3 - 7*p**2 + 6*p - 1. Let m(d) = 7*h(d) + 3*t(d). Calculate the lowest common multiple of 16 and m(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((-20)\/6)\/((-4)\/54). Solve 5*t - 4*l = -d, 0 = -8*l + 3*l + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33927107 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25805 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858*h - 2888*h - 3665*h - 2494*h + 1894*h.\nAnswer: -6295*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -0.1 (b) -12 (c) 65 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-16) - 9\/12. Let h = 628\/5 - 126. Which is the closest to -1? (a) z (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -6. Let b be (p + -19)\/((-2)\/12). Suppose 0 = 4*i - 26 - 22. What is the greatest common factor of i and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9. Let r(j) = 2 - 5 - 6*j + 8*j + 2 - j. Give -l(f) + 9*r(f).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 - 3.5. Let a = -3.06 - -0.06. Sort -1\/10, a, h, 5 in ascending order.\nAnswer: a, h, -1\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 484 and 3194510.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 6, r: 2, z: 1, l: 2}. What is prob of sequence rrw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7396205?\nAnswer: 5, 283, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + -1 + 1 + 1482\/351. Which is the second biggest value? (a) -0.3 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035222473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 h when four letters picked without replacement from ffhhfffffh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 27*k - 69. What is the tens digit of c(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3\/8)*s*s)\/s**15)**(2\/131) assuming s is positive.\nAnswer: s**(-99\/524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3335.15 rounded to the nearest ten?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4629 is divided by 113.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-18)*4*2\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 583*t**2 - 83*t + 67. Determine h(1).\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 8, 0, -2, 1015.\nAnswer: -6, -2, 0, 8, 1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 7:38 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(300)*-2 + sqrt(300) + sqrt(300)*-2 + -1 + 3)**2.\nAnswer: -420*sqrt(3) + 2749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*c + 176 = -170*c. Sort 0, c, -16, -3.\nAnswer: -16, c, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(-50)*(1 - -13314)?\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15685170 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2283\/4 + 570. What is the nearest to -2\/3 in -0.6, 1\/3, 0.2, h?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 211 = -2*w, -5*w + x - 310 = -2*w. What is the units digit of w*(-2 - -1) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-301)\/(-430)*2\/7.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38206686 greater than 38206684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(343) + 1 + sqrt(704) + sqrt(11))*-1.\nAnswer: -64*sqrt(11)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**5\/10 - r**4\/6 - r**3\/3 + r**2 + 38*r - 22. Let a(k) be the first derivative of g(k). Factor a(f).\nAnswer: 2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from wwwwuiwuwwzz?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -68962000 to the nearest 1000000.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, -8, -13, -16, -17, -16?\n\"Answer: g**2 - 10*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 534, 530, 522, 510, 494?\n\"Answer: -2*p**2 + 2*p + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:11 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 - 4*v + 807. Let y(o) = -3*o**2 - 3*o + 538. Let s(b) = 5*i(b) - 7*y(b). Let m be s(0). Round m to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 93. Let c(f) = -12*f + 746. Let l(y) = c(y) - 8*x(y). Let i be 5\/(-1*1)*1. Let q(n) = 4*n + 3. Calculate i*l(j) + 4*q(j).\nAnswer: -4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 25. Let i = -4 - w. Put -6\/7, i, 5 in descending order.\nAnswer: 5, i, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - (0 - 4\/2). Suppose 4*n + f = -3 - 5, -11 = -n + 3*f. Sort 3, n, h.\nAnswer: h, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1164, -1149, -1124, -1089, -1044, -989?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -7) + (-6 - (3 + -11) - 44).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13985307, -27970616, -41955925, -55941234?\nAnswer: -69926543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 262332, 524701, 787102, 1049535?\n\"Answer: 16*u**2 + 262321*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1737 - 1657.7. Let a = -79.3000141 + u. Round a to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-9)*(105\/(-25) - -4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (249\/(-2))\/(3\/(-18)). Is w\/5 - 4\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/15 - (5 + -10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 + 6*x + 7. Let f(u) = 3*u**2 + 2*u + 0*u**2 + 5 - 3. Give -7*f(o) + 2*p(o).\nAnswer: -3*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -14. Which is the nearest to 0.1? (a) -1\/2 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3387 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2410*y**3 + y**2 - y + 180703 wrt y?\nAnswer: -7230*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 221*u**2 + 222*u**2 - 41 - 253 + 4*u - 3*u**2 - 4*u + (5*u**2 + 0*u**2 + 2*u**2)*(1 - 1 - 1).\nAnswer: -9*u**2 + u - 294","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + f = 9, -2*f - 3 = 3*t + 3*f. Suppose -2*s - 2*j - 8 = -6*s, -j - 12 = -4*s. Calculate the smallest common multiple of t and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -5767?\nAnswer: 5754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 - -19.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/((-2)\/((-48)\/(-4))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.301 times -0.2\nAnswer: 0.4602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83325 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221022210 - 111100102?\nAnswer: -1102200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 1. Let z(b) be the second derivative of -b**4\/4 - b**3\/6 - 3*b**2 + 2*b. Let v(j) = -6*k(j) - z(j). What is the second derivative of v(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30044 - 29008. Calculate the remainder when u is divided by 135.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 5. What is the lowest common multiple of (6 - (u - -6)) + 2 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -3*i + 0*i**3 - 1\/20*i**5 + 0 + 5\/12*i**4 + 3\/2*i**2. Let j be o(5). Solve -y - 4*d = -j, -y = -6*y - 3*d - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 700637 and 63630?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 4*q**2 - 5*q + 4. Let r be s(5). Find the third derivative of -3*t**2 - 2*t**4 - t**4 + 0*t**r wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 488 and 78812.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - r + 5. Let l(y) = 2*y**2 + y - 4. Let a(w) = -6*l(w) - 5*z(w). Let k(g) = 16*g**2 - 5*g - 6. What is -11*a(n) + 2*k(n)?\nAnswer: -n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -17*a**2 + 3*a - 20. Let m(h) = -8*h**2 + 3*h - 16. Let n(v) = -4*m(v) + 3*s(v). What is n(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 3. Let s be n(-7). Let i = s + 6. Is i greater than 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 171475 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715850 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*k = 4, m + 8*k = 3*k + 8. Let f be ((-72)\/84)\/(m\/14). Solve f*n + 6 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/68169 + -41803\/749859. Let i = b + 49143\/6820. Let h = i - 27\/4. What is the closest to h in -3\/5, 1\/3, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631 - 565 = -11*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*f = 8*f + 231. Let x(l) be the second derivative of -6*l + 15\/2*l**2 + 1\/12*l**4 - 11\/6*l**f + 0. Determine x(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 + t. Let q be y(-1). Suppose 4*u = 7*u + 276. Let s = u + 93. What is the closest to 1 in s, -0.3, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50779842 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**7\/60 - i**6\/40 + 2*i**3 + 16*i. Let f(r) be the second derivative of m(r). Find the third derivative of f(p) wrt p.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*r**2 - 110*r**2 + 211*r**2 + 64*r**2 + 114*r**2 + 112*r**3 wrt r.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 33*k**3 + k**2 - 2*k + 1. Let j be l(1). What is the second derivative of -12*v**2 + j*v**5 - 6*v**5 - 28*v + 12*v**2 wrt v?\nAnswer: 540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 14\/12 + 1295\/(-210)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 2*z**2 + 3*z**2 + 1 - 4 - 2*z**3 + 2*z + 4 to the form m*z + q + o*z**2 + a*z**3 + c*z**4 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11360 divided by 3732?\nAnswer: -2840\/933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.085 - -9781.\nAnswer: 9781.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 628311 divided by -3\nAnswer: -209437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 393 + 397. Let o = -1 - 0. Sort -2, o, w in decreasing order.\nAnswer: o, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + k + 1. Let g(p) = -11*p**2 - 6*p - 6. Suppose 0 = -4*z - 8 + 8. Suppose 8*d - 60 + 12 = z. Determine d*m(x) + g(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*b + 2*m + 17, 3*m - 3 = 0. Suppose b*h - 2969 + 681 = 0. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 16 = -16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 140761*l**2. Let d(t) = 11*t**2. Give a(d(u)).\nAnswer: 17032081*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0 (b) 3 (c) -5 (d) -3 (e) -44491\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*u + 12982 - 14022 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 112 = f. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.3, 5, 3, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 - 117. Suppose -4*c = -b + f, -4*b = 4*c - c - 8. Factor c*h - 2\/7*h**4 - 6\/7*h**3 + 0 - 4\/7*h**2.\nAnswer: -2*h**2*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 355659 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**3 - 1\/12*v**4 + 1\/2*v**2 + 0 - 2*v. Let m(n) be the first derivative of k(n). Let z(o) = -o**2. Calculate z(m(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.1 (c) -8 (d) -1.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 9)*1\/2. Solve -3*i - q = 4*m, 2 - 1 = m + 2*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1623)\/1082)\/((-9)\/(-336))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + p**3 - 10*p**2 + 0*p**3 + 2 - 9*p**2. Let f be d(16). Suppose f*c - 6*c = -400. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ari when three letters picked without replacement from {a: 2, w: 1, i: 2, b: 1, r: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 14 - 6*y - 4.\nAnswer: -6*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0 - 2*q)*(-9 + 5 - 13) - q - q + 8*q to x*q + w and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((52\/(-91))\/(-1))\/(2\/7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5 + 24*i**4 + 39*i**3 + 18*i**2.\nAnswer: 3*i**2*(i + 1)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 + (5 - 2) - 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 27756327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 116*l**2 - 10.\nAnswer: -116*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from svrqvkqvqkrrs.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -205*l + 204*l + 2*w, 3*l = -4*w + 44 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Suppose 0 = -3*u + f*u. Suppose 4*o + 5 - 21 = u. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/258 and ((-230)\/75)\/((88\/55)\/(-2 - -4))?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 + -86. Suppose q + 0 = -3*t + 2, -q + 3*t = -8. Suppose i*c = -q*c + 105. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -4728*(11 + ((-490)\/3)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*g + 10*h = 9*h, -4*g = h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 13, l: 1}. Give prob of sequence poo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 8:05 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 405455 divided by 405455?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*c**2 + 2867 - 2867 to r*c + a*c**2 + z and give a.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44206453?\nAnswer: 37, 1194769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4 = -4*q, 1 = 3*q + 2*v - 3. Suppose -4 = 4*a, q*a = 5*s + 2*a - 528. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 5*k + 5*q - 423 = 0, 244 = k - 4*q. Let u = 6 + 8. What is the greatest common factor of u and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/4 - 123*l**2\/2 + 711*l\/4.\nAnswer: 3*l*(l - 79)*(l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*p - 16*g - 4*p - 6 with respect to g.\nAnswer: 2*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*q - 242 = 319*q. Let p = -8 - -5. Sort -5, -2, p, q in decreasing order.\nAnswer: q, -2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 3 = -4*r + 4*c, -5*r - 8 = -4*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/37828 and -53\/26.\nAnswer: 491764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6, x - 4 = -0*x - 2*b. Let m = x - -3. Let o be -2*(-2 + 22\/(-4)). Solve -5*i + o = -5*k, -2*k + 4*i - 5 = -m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1563511*z**2\/4 - 76612041*z\/4 - 49\/2.\nAnswer: -(z + 49)*(1563511*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*((3 + sqrt(1584) + -1 - (2 + sqrt(1584) + 2)) + -1)*-6)**2*6.\nAnswer: 34656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.067, -0.3.\nAnswer: -0.3, -0.067, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 24. Suppose -b + x = -15. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {m: 2, c: 17}.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -188068592*k**2 + 72298*k - 216894. Let s(n) = 7804*n**2 - 3*n + 9. What is -144596*s(m) - 6*x(m)?\nAnswer: -15632*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 537361695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -4 - (-2 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 + -143 + -29 + 59.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3080, 3083, 3086?\n\"Answer: 3*h + 3077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*1*3)\/(sqrt(48)\/sqrt(64)))\/((sqrt(432) - sqrt(432)*-2*4) + sqrt(432) + sqrt(432) + (sqrt(432) - 4*sqrt(432)*-2)).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**3 - c - 4*c - 4*c**3. Suppose -6*s + 11*s - 2*h = 19, 3*s = -5*h + 30. Let r(z) = -z + 0*z - z**3 + 7*z. Determine s*r(b) + 6*w(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 26 = -3*h. Suppose 0 = -f + h*a + 4, 12 = 3*f - 0*a - 3*a. Solve -c = -1, -t + 0 = 2*c - f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqkwqkqqrkqrk. Give prob of picking 2 q and 1 w.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3744.7 + -3745. Which is the fourth biggest value? (a) -0.4 (b) u (c) -25 (d) 5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.36 + 0.96. Sort -3, -0.3, i in descending order.\nAnswer: i, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 559\/14 (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a. Let q(d) = 9*d**2 - 9*d + 133. Calculate n(q(z)).\nAnswer: -18*z**2 + 18*z - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*q = -33, -23985 = -4*q - 23961 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -5)*2\/(-2). Suppose 0*v + 3*v - 4*y - 168 = b, -3*y - 56 = -v. Let j = -20 + v. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3886.9 + 3887. What is the closest to t in 2\/23, -0.39, 3\/5, -1\/9?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -50 (b) -6 (c) 0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23340611 (base 7) to base 5.\nAnswer: 1011412420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 514728 and 6696?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 6. Let y be h(10). Calculate the common denominator of (y\/(-21))\/((-10)\/(-78)) and 26\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 71733, 143534, 215335, 287136?\n\"Answer: 71801*v - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1100016 - -0.11. Round a to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/14*(-20)\/165?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - t = -4233, -t = -2*t + 5. List the prime factors of u.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 181989 and -11.\nAnswer: 181978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 289*i*l**2 - 578*l**2 wrt i.\nAnswer: 289*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (241\/(36150\/180))\/(2\/(40\/6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 213 - 17*c + 108.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -83*j**5 - 108*j**3 - 440. What is the third derivative of u(p) wrt p?\nAnswer: -9960*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 15*f + 36. Let u(z) = 58*z - 68. Let r(b) = -59*b + 68. Let w(c) = f*u(c) - 7*r(c). What is the derivative of w(q) wrt q?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -8. Let n(x) = -x + 3. Let m(q) be the first derivative of -q**2\/2 + 2*q - 1. What is i*m(c) + 4*n(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*l + 182 - 6, 138 = 3*l + a. What is the remainder when 243 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**4\/12 - 7*y**3\/6 - y**2 - 5*y. Let d be j(-7). Let o be (-14)\/3 + 1\/(-3). Sort d, 5, o in decreasing order.\nAnswer: 5, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 >= 20\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-5\/3)))\/s)**(5\/8)\/(s**15\/(s**(-12)*s)) assuming s is positive.\nAnswer: s**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 1\/3 (b) -1.157 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1 = -h, 5*h - 1617 = -p - 1618 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-686494)\/(-24) - (-1773)\/(-788)) + 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19 - 1)*(-1)\/2. Let l(p) = -2*p - 10. Let r be l(-7). Suppose -n + 6*n - 2*c - 24 = 0, r*c - 42 = -5*n. Solve n*u - 4*u + w = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 3*r**2 + r + 12. Let b be m(13). What is the greatest common factor of b and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4067034752.\nAnswer: 2, 11, 223, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100110001 (base 2) to base 15\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -6. Let l be 5\/y*(-1)\/(-5). Let g = -4.5 - -4.4. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/8 - 191175*o\/4 - 24099957\/8.\nAnswer: 3*(o - 127513)*(o + 63)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 - -98. Find the third derivative of -v**p - 8*v + 10*v + 72*v**3 - 6*v**2 wrt v.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -194, -179, -162, -143, -122?\n\"Answer: h**2 + 12*h - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -14*z**2 - 1544*z - 1536. Calculate p(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1070 and 130?\nAnswer: 13910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6171368436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 1521.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h. Let j(q) = -2739*q + 2. What is j(i(t))?\nAnswer: 8217*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/60)\/3)\/(6\/(-20)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*21\/98)\/(132\/(-16)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 + 1 = -3*w, -2*x = 2*w. Let c be x\/2 + (-44)\/(-8). Solve c*b - 4*t = -36, 0*t = b - 4*t + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 4*z - 9*z)*(4 - 3 - 2) + 1 + z + 0*z - 2*z.\nAnswer: 9*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 6*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxjj. Give prob of sequence dj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 1 = 4*w. Let g be (-1)\/(-5)*30\/w. Let d = -2.1 + 6.1. Sort 0.4, g, d in increasing order.\nAnswer: 0.4, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1974 (base 14) to base 12.\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2132*k + 1726*k + 2563*k + 3246*k.\nAnswer: 5403*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 19*q - 18 = 0. Solve 0 = h + q - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3474 (base 15) to base 14.\nAnswer: 40b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23606165111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -306, -295, -282?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bbbc - 4?\nAnswer: -bbc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 211947814.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 968 + 931. Suppose -3*g - 3*r + k = 0, -3*r + 8*r = -4*g + 2534. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13885 divided by -5?\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-36)\/8*1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(117) + sqrt(117) + 2*(2*sqrt(117) - sqrt(117)) - (1*-3*sqrt(117) + sqrt(117))) + -5)**2.\nAnswer: -144*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*a**3 - 345*a - 67*a**2 + 345*a wrt a?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 1 = 4*y + f, 0 = -4*y - 5*f + 17. Let v(c) = 3*c - 5*c + y*c. Let o(d) be the second derivative of d**4\/4 + 533*d + 1. Calculate o(v(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(-3) - (-1)\/(-3). Calculate the highest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/16 and -31\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 13*c + 6. Let w be y(-12). Let v = w - 12. Suppose 2*o - 18 = 4*a - 8*a, o + a - v = 0. Sort -4, o, 5 in descending order.\nAnswer: 5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 7:25 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33863796?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(45)\/sqrt(80)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 22*q - 17. Let z be (-5)\/(-1) + (4 - 7) + 7. List the prime factors of h(z).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199918587 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**3\/12 + 13*v**2\/8 - 15*v\/2 - 140. Suppose i(z) = 0. Calculate z.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(931) + 0 + -4 + (3*sqrt(931)*3)**2 + 4*sqrt(931)*-3 + -4.\nAnswer: -77*sqrt(19) + 75401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 5*v - 85 = -130, -30*b - 3*v + 132 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - 114*b + b**2 + 112*b - 4)*(-485 - 15*b - 487 + 986).\nAnswer: 60*b**3 - 26*b**2 + 32*b - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-366)\/61*3\/(54\/(-11))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2 = -2*r + 4, 0 = -39*r + 84*r + 6*l + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**2 - 17578416*t - 19312544316816 = 0?\nAnswer: -2197302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 354*q**2 + 6*q + 7. Let d be t(-3). Suppose -3*b + 4*y + d = 0, -b + 2132 = b + 5*y. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**2 + 8*g + 0*g**2 - 2*g**2 - 9 + g**3. Let v be s(6). Let o(p) = 9*p**2 - 2 + p**v + p + 5 - 4*p**2. Determine o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f + 15. Give j(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 a when three letters picked without replacement from laknclca.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + x = 3*t - 19, 5*t + x - 17 = 0. Suppose -t*o + 32 = -4*v, o - 2*v - 1 = 12. Suppose 3*d + 3 = -2*n, 3 + 1 = 4*d. Put o, n, 4 in decreasing order.\nAnswer: 4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1297 - -2281. Let v be (o\/(-18))\/((-4)\/54). What is the units digit of ((8\/(-3))\/(-4))\/(6\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -730, -645, 892, 4607, 11226?\nAnswer: 21475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1403590 divided by 194.\nAnswer: -7235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2453*y**3*z**3 + y**2*z**2 + y*z**3 + 36 wrt y.\nAnswer: -14718*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -3*u - g, 5*g - 3 = -23. Let t = u + 30. Solve 3*f - t = -5*w, -2*w - 3*f = 2*f - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12404322 (base 7) to base 8.\nAnswer: 4232264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3 + 3 + 6 - z + 2*z. Calculate the remainder when v(7) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, 2\/7, 3, 4, -95002, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**2 + 16*u**2 + 0*u**2)*(-1413 - u**2 + 1415 + 5*u + 2*u**2) - u**4 + 0*u**2 + 0*u**2 + (-2*u**2 - u + u)*(4 + u**2 - 4).\nAnswer: 21*u**4 + 120*u**3 + 48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*sqrt(180)*4 - (sqrt(5) + 4*(sqrt(320))**2 + sqrt(5) - (sqrt(5) - (sqrt(25)\/sqrt(5)*-1)**2)).\nAnswer: -1280 - 121*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 + 3 - 13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5291308 rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 56. Let z = -1 - -1. Suppose h - 2*h + 2 = z. What is the least common multiple of r(15) and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/6 (b) -1\/7 (c) 4\/7 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -788\/699219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 216213587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11*u - 202. Give f(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 610*w**3 + 35*w**2 + 35*w - 655. Let c(g) = 102*g**3 + 6*g**2 + 6*g - 109. Let b(u) = 35*c(u) - 6*p(u). Differentiate b(r) wrt r.\nAnswer: -270*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7044111.\nAnswer: 3, 260893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83*k + 10 - 1 - 12 + 0 + 0 - 3*k + 0*k + 5*k - 3*k + (3 - 5 + 0)*(4*k - k - k).\nAnswer: -88*k - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1976, 1977, 1978, 1979?\nAnswer: 1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*n*q**4 + 178*n*q**2 + 15690*n*q + 2*n*w**2 + q**3*w**2 - q*w**2 wrt q.\nAnswer: 456*n*q**2 + 356*n + 6*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101555 and 49780?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + -108. What is the hundreds digit of ((-12)\/h)\/(4\/(-6728))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(13)*-1)**2 - sqrt(13))*6 - (-4*sqrt(1573)*-2)**2.\nAnswer: -100590 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*h - 3. Suppose 3*y - 786 = -3*g, -h*y + 2*g = 5*g - 1047. Let m = -144 + y. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 9173389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcq when three letters picked without replacement from {q: 1, j: 1, l: 4, c: 4, u: 2, t: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 6*f - 24. Give w(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 34*n + 82. Let d(h) = -4*h**2 - 103*h + 246. Let b(v) = 2*d(v) - 7*k(v). Let a be b(29). Calculate the greatest common divisor of a and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {e: 3, h: 5, f: 1}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-288)*12)\/(2\/(-8)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*h - h. Suppose h*f = -5*x + 22, f = -0*f - 4. What are the prime factors of (-28)\/(-8) - (-3)\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irdixqzxqrrriqi. Give prob of sequence iqqr.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-10) - (-18)\/(-90). Let w be 64\/(-16) + 4*z. Let d(o) = 0*o - o + w*o - o. Calculate d(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 1256812*s + 3. Let y(i) = -31*i**2. Give p(y(j)).\nAnswer: -961*j**4 - 38961172*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 535? (a) 0.2 (b) -5 (c) -201 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*h**3 - 2*h**2*i - 183*i wrt h?\nAnswer: -99*h**2 - 4*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(1\/9)\/((-3)\/9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a07 + -24?\nAnswer: 99d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + l**3 - 3)*((l + 0*l + 5*l)*(3*l + 5*l - 2*l) - 5*l**2 - l**2 + 2*l**2 + 3*l**2 - l**2 - l**2 + (3*l - 4*l - l)*(-3*l + 0*l + 5*l))*(1 + 3 + 1).\nAnswer: 145*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 3197.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.44 in 4, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -316\/43 or -6?\nAnswer: -316\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 7*d + 14. Does 10 divide m(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 125 = -3*b. Let o = b + -24. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 25. Let h be m(-14). Let n(y) = -y**h + y - 9 + 0*y + 6*y + 6*y**2 - y**2. Calculate n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*m + 3*f, 2*m - 5*m + 2 = 2*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p + 12. Let g(w) = -17*w + 25. Let q(t) = -5*b(t) + 3*g(t). Let v = 23 - 14. Calculate q(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -13. Let q = t - -7.72. Let m = -0.2800039 - q. What is m rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {t: 2, h: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (667800\/(-131175))\/((-2)\/11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 18, 1, 48, 35 in increasing order.\nAnswer: -14, 1, 18, 35, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66446912 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 883, 1928, 3377?\nAnswer: 5230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-66)\/99).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**0*q)\/q)**(-38\/3)\/((q*((q*(q\/(q\/q**(-2)*q))\/q*q)\/q*q)\/q*q*q)\/q**(-2)))\/((q\/(q*q**(6\/5)*q))\/q**(7\/6))**48 assuming q is positive.\nAnswer: q**(2204\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8555916.43000063 - -8555917. Let t = -3.8 - -3.23. Let i = t + a. Round i to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(240)*-2 - sqrt(240))\/sqrt(8))\/(sqrt(10) - (-1*sqrt(160) - sqrt(160))))**2.\nAnswer: -2*sqrt(3) + 28\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (0 + -18) - (13 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -8111.\nAnswer: -8111, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 + -0.14. Let q = 0.1 + y. Let l = 0.04 - q. Which is the smallest value? (a) l (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 15*p - 51. Let g(s) = 4*s + 21. Let f be g(-4). What is the remainder when 44 is divided by z(f)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - 2*k - 4*k + (2 + 1 - 1)*(0*k - 2*k + 0*k) - 1 + k + 1 + k - 2*k - k + 5*k - 2*k - k - 3*k + k + 6*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.0220973 milliseconds to days.\nAnswer: 0.00000015071871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -14. Suppose -r + 2 = -g. Suppose -5*v = -4*q + 24, 8 = -5*v - r. Solve 0*y + q = -y - i, 4*y = -i + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2 - 108*p - 1458 = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - s - 2 - 2)*(-4 - 1 + 6).\nAnswer: -s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -8. Which is the nearest to -2\/3? (a) f (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*2\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 = n. Solve -n = 2*k - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 8:30 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 1, -71 in descending order.\nAnswer: 4, 1, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 - -153. Let d be (f\/(-30) - -13) + (-103)\/(-5). Solve d - 12 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400370443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32738691.\nAnswer: 3, 19, 574363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 - 4424080*k - 978624192320 = 0. Calculate k.\nAnswer: -442408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -415 - g**3 + 205 - g**2 + 212 - 347*g to the form z*g**2 + k*g**3 + y*g + s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 480 = -5*k + 420, 3*k - 564 = -3*b. What is the greatest common factor of k and 9699?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 4, -222, 301.\nAnswer: -222, 4, 27, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34653 (base 7) in base 2?\nAnswer: 10001011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = 1. Let t(g) = -x + 2 + 0*g - g. Let c(n) = -n**2 - 28*n - 97. Let w be c(-24). Let p(r) = -2*r + 1. What is w*p(j) + t(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 17*i**2 + 17*i + 7. What is a(16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-9)*1)\/(-5). Suppose 552*q - 568*q = 0. Factor 2\/15*z**5 - 2\/15*z**2 + 2\/15*z**4 - w*z**3 + q + 0*z.\nAnswer: 2*z**2*(z - 1)*(z + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*d - 2*d = -1, 4*v - 4 = -4*d. Solve -3 - 1 = 2*n - v*w, n + w + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - h = 7626, -222*h = -l - 217*h + 7650. Is l a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -50*w**3 + 8*w**2 + 9*w + 27. Does 7 divide i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/325975 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3 - 27*v**2 - 72*v - 48 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + v - 35 + 33 = -3*z, -5*z - 3*v = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by -2.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = -4. Let q be (2\/k)\/((-12)\/45). Let v = -1.2 - -0.2. What is the closest to 0 in 2\/3, v, q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.362176 + -10.262. Let h = 0.1 - b. Round h to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 16 - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 32*b - 61. Let n(u) = u - 3. Let v(h) = -g(h) - 5*n(h). Let s be v(2). Solve s*q - 3*p = -2*p + 1, -5*q + 1 = -2*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**3\/6 - 17*y**2 + 6*y + 5. Let m(b) be the first derivative of a(b). Let p(f) = 3*f + 4. Calculate -6*m(v) + p(v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(1\/(-1) - 0). Suppose m*t - 20 = -3*t. Solve t*l - 5*l = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21551501 + 36896167235\/1712. Let n = -1\/107 - s. Calculate the common denominator of ((-9)\/(-48))\/((-5)\/290) and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(96\/(-240)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 226826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)*o*((o\/o**(2\/21))\/o)\/o)**(-5)\/(o**(3\/2)*o**(-4\/5)*o\/o**4*o**(-1\/3)) assuming o is positive.\nAnswer: o**(1259\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 11:23 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 8*f**2 + f + 8. Suppose 14*a - 7*a + 56 = 0. Let k be t(a). Solve k = -n + 7 - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 5*c. Let l be u(-6). Suppose l = i - 2. Let w be i\/((-1 - 0)*-2). Solve 3*m + 38 = -3*d + 14, -2*m = w*d + 22 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16252, -18161, -21326, -25741, -31400?\nAnswer: -38297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/40 - 39\/(-5). Let k = c + -3. Suppose -3*p + m + 42 = 5*m, 4*m = k*p - 102. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*p - 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001100 + -110011010011101?\nAnswer: -110001110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/45 and -53\/117?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 3) + -4 - (-20448 - 65) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -53*o + 56. Let z(x) = -26*x + 27. Let v(i) = i**2 - 16*i + 44. Let b be v(5). Let t(j) = b*z(j) + 6*f(j). Find the first derivative of t(p) wrt p.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrqrxpdprdqq. What is prob of sequence xpp?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(60))\/sqrt(180).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1 - 4*i + 0*i + 2 + 5*i. Let z be v(-2). Suppose 0 = 2*j + 3*d - 6, -d = 2*j + 3*d - 8. Sort 5, z, j.\nAnswer: z, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 18 = -3*a, 3*s - a + 1 = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*6*1\/9. Suppose -x*m = q - 3*q - 74, 4*m = 5*q + 83. Suppose -c + m = -17. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247 + 1665769.48.\nAnswer: 1666016.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - 74\/(-37)) + 29 - 73?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/6)\/(48\/(-72)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0073 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20430033259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 7220*y**5 + 3572*y**4 - 17764*y**3 + 7612*y**2 - 656*y + 16 = 0. Calculate y.\nAnswer: -2, 1\/19, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 5*n + 0*n + (4*n - n - 2*n)*(0 - 3 + 2) - n + 2*n - 4*n)*(2*n**3 - 2*n**3 + 3*n**3) to the form c*n**3 + f + j*n + b*n**2 + h*n**4 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l - 5*j = -146, -l + 58 = -3*j. Suppose 4*s - l = 40. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*p**5\/7 - 34876*p**4\/7 - 3800096*p**3\/7 + 224972*p**2\/7 + 3800176*p\/7 - 190096\/7 = 0.\nAnswer: -218, -1, 1\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 11 = 38*k - 35*k, -18 = -2*y + 4*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302329183325816 + 0.\nAnswer: 302329183325816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(0 - (2 - 0)\/(-20)). Put j, 13, -3 in descending order.\nAnswer: 13, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/6*36\/(-180))\/((-30)\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14632 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 4. Suppose -x + 3*i - 7*i = 24, -2*x = -3*i - 7. Let s = a - x. What is the remainder when 28 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -678 + 203. Let r = f + 472. Which is the nearest to 1? (a) 0.85 (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46734287 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9516.\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 814, 876, 946, 1030, 1134, 1264?\n\"Answer: c**3 - 2*c**2 + 61*c + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 465986 and 1812.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -6147361.\nAnswer: 6147362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.08?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -208, -233, -260, -289, -320?\n\"Answer: -j**2 - 22*j - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8575 - -0.6575. Which is the closest to 40? (a) -5 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 9 - 3)*(2*t + 3*t - 3*t).\nAnswer: -52*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -525*g**3*w - 3470649*g**3 - 2*g**2 + 7*w wrt w?\nAnswer: -525*g**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5747570 - 2?\nAnswer: -5747572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20501 (base 8) to base 3.\nAnswer: 102200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16163821691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 + 17*n - 2. Let y(g) = 2*g**2 + 9*g - 1. Determine -6*x(q) + 13*y(q).\nAnswer: 2*q**2 + 15*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -11. Let x = k - -29.9. Which is the closest to x? (a) -4\/7 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 2*a**2 + 4*a + 1. Give y(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 977307*-6.\nAnswer: -5863842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.45 * 7767.\nAnswer: -34563.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 - 115*f - 19. Let r be o(39). Which is greater: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43151 (base 7) to base 14\nAnswer: -3c98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/32*((-260)\/(-13) + -44)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r - 5. Suppose h + 2*m = -4*h - 888, -5*h = m + 884. Let s = h + 171. Determine n(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2339 is divided by 639?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19609091029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 114\/(-4)*4\/2. Suppose 5*x = 4*f - 39 + 7, -f = 4*x + 13. Suppose -f*w - o - 9 = 0, 13*w + 3*o - 15 = 18*w. Sort -1, c, w.\nAnswer: c, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5665 - 5654. Calculate the greatest common factor of 4224 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 7. Let a be o(-13). Suppose 0*d = a*d. Suppose 0 = -4*y - d*y + 16. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 33 = 5*z + 4*f, 5*z - 2*f = -21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u - 1. Let c(w) = 2*w**2 + 6*w. Let f(k) = -c(k) + 4*g(k). What is the lowest common multiple of (4\/(-5))\/(2\/(-10)) and f(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 - -6)\/(1\/(-8)). Let a = d - -1. Let g = 86 - a. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(4\/5)*b*b**0\/b*b**(-1)\/(b*b*b\/b**5*b*b) assuming b is positive.\nAnswer: b**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -21*h + 561. Suppose 28*j - h*j + 3528 = 0. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, e: 1, d: 2, p: 1, q: 7, c: 4}. Give prob of picking 1 p, 1 d, and 1 e.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 694 - 268. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410*(238\/1071)\/((-10)\/9).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 28*o**3 - 2*o**2 - 49*o - 145. Give i(-3).\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5053, -2\/15, -4 in ascending order.\nAnswer: -4, -2\/15, 2\/5053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -183 (base 16) to base 12\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181896676.\nAnswer: 2, 23, 467, 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 220, 438, 656, 874?\n\"Answer: 218*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -239, -170?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 62 = -5*b. Let k = b + 17. Solve -3*c - 1 = -h, -4*c + 2*h = -0*h + k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 112, 257, 450, 685, 956, 1257?\nAnswer: 1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 283 times 3\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11215 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = -216*s + 245*s. Let v = 610\/7 + -87. Which is the smallest value? (a) v (b) 3 (c) -5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = m - 256, -m - 657 = -5*j. Solve -4*g + 4*z = 0, -3*g + 136*z = j*z - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 3*d = 2*a + 160, d = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, c: 8, e: 2, w: 2}. Give prob of picking 1 c and 1 e.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(-5748)\/(-18202) - 4\/((-76)\/853).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238000 rounded to the nearest ten thousand?\nAnswer: 1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 166?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -7, -9, -15?\n\"Answer: -2*c**2 + 8*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5087\/4 + -1271. Solve 3\/4*j**3 + 15\/4*j**4 + 0 + 0*j + 9\/4*j**5 - o*j**2 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53 and -0.6?\nAnswer: 31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 15 = 5*c, 2*c - 3 = -4*o + 3. Suppose 0 = -4*r + c*r - 2. Is -1 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, d: 3, p: 5, z: 3, i: 1}. What is prob of picking 2 d and 2 p?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -71, 4, -0.346, -2\/9?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -4, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r + 24*r + 18*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*j - 0*j + 759, -5*j = 20. Let m be (-12)\/(-48) + (-9)\/4. Is d\/(-3) - m\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-69) - (692\/(-1610) - 66\/(-231)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -q + 2*g, 2*g = q + 2*q + 14. Let l(o) = -24*o + 4. List the prime factors of l(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18058 - -18058. Let i(c) = 4*c - 3. Let q be i(2). Put -3, -1, q, m in ascending order.\nAnswer: -3, -1, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 694859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234184323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -938.164 and -23.\nAnswer: 21577.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17820963 and 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c = 3*z - 72, 2*c - 5*z = 34. Suppose -c = -2*u + 5*f, -4*u = 3*f - f - 20. Let b = 1 + -1. Solve -3*p + b*p = -u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 98*z - 1305. Is 39 a factor of k(47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9 = -0*o - o, 4*q = -12. Let d = 9 + o. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209896333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from ywwhyyywyywyw.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 981*c**2. Let l(g) = -2*g - 63. Let u(b) = 7*b + 231. Let f(n) = -22*l(n) - 6*u(n). Determine f(z(i)).\nAnswer: 1962*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1170284142.2611\nAnswer: 1170284142.2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**7\/14 - y**6\/30 + 7*y**5\/30 + y**4\/18 - 5*y**3\/18 + y**2\/6 + 18*y. Find a, given that m(a) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66748996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:34 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0681 and 10.159.\nAnswer: 0.6918279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*r**3 - 21*r**5 - 31*r**3 + (2*r**4 - 3*r**4 + 3*r**4)*(4*r - 3*r - 3*r) - 2*r**2 - 5*r**2 - 3*r**5 + 3*r**2.\nAnswer: -28*r**5 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555 a factor of 138138713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 2 (b) 0.0411 (c) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 287 = -4*i, 5*i + 0 = -3*m - 180. Let s be 2\/(-4) + m\/(-22). Suppose 3*t - s*t - 3*t**2 + 0*t - 4*t = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 31 (b) -0.5 (c) -7\/27 (d) -2 (e) 67 (f) 3 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1044 + 3211 = -135*d - 1212 - 5126 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*m**4 - 10\/13*m**3 - 8\/13*m + 0 + 16\/13*m**2.\nAnswer: 2*m*(m - 2)**2*(m - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*l**2 + 864*b**2 - 15*b*l**5 + 3*b*l**2 - b*l wrt l?\nAnswer: -4*b**2 - 300*b*l**3 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 55*c - 58*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = -8. Suppose -2*o + m*k + 162 = 0, 0 = -2*o - 0*o + 5*k + 171. Suppose -5*b - 5*x + o = 3, -4*b = 2*x - 50. Solve -2*p + 4*p + b = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 6. Let m(w) = -7*w - 18. Let z(o) = 8*d(o) - 3*m(o). What is the derivative of z(j) wrt j?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 9:58 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.2930194 months?\nAnswer: 0.19108495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 909505 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y + 85 = 190. Let u(b) be the second derivative of 3\/20*b**y + 0 + 3\/10*b**6 - 3\/4*b**4 - 6*b - b**3 + 1\/14*b**7 + 0*b**2. Factor u(d).\nAnswer: 3*d*(d - 1)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -10*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((312\/(-60))\/((-24)\/(-20)))\/(-1)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 328934, 2\/5, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8\/c)**(-9\/2)\/(c**(-31)*c**(1\/51)) assuming c is positive.\nAnswer: c**(-53\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24464, 97731, 219842, 390803, 610620, 879299, 1196846?\n\"Answer: p**3 + 24416*p**2 + 12*p + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*w - 48*w. Let c(l) be the first derivative of 0*l**3 + w*l**4 - 3*l**5 - 11 + 0*l - 11\/2*l**2. Find the second derivative of c(b) wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182358 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i**2 + i. Let b(o) = -19*o**2 - 6*o + 106. Give b(a) - 3*h(a).\nAnswer: -a**2 - 9*a + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 0*z**3 - z + 1\/48*z**4 + 0 + 0*z**2. Determine x, given that p(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1085598, -2171165, -3256732?\n\"Answer: -1085567*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2563, -5123, -7683, -10243, -12803?\n\"Answer: -2560*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4962 (base 12) to base 15.\nAnswer: 26c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*-8.745\nAnswer: 26.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16420 - -16539. Which is bigger: 13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 23*s + 80. Let c be r(12). Let o be 600800006\/8 + 39\/c. What is o rounded to the nearest 1000000?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -14. Suppose 2*z = 3*m - 2*z + 244, 0 = -2*z + b. Let j be -5*(m\/20 + 1). Solve 5*s - j = u, 0 = 3*s - 0*u - 2*u - 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1. Let p(t) = t + 1. Let g(j) = 4*p(j) + 4*y(j). Let l(w) be the third derivative of w**4\/24 - w**3\/6 + 16*w**2. What is g(a) - 2*l(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218562403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 216 = 184. Suppose 3*v + o = 5. Let l = -17 - v. What is the smallest common multiple of 10 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1994*t + 34096*t**3 + 1000*t + 994*t - 34088*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -728, -3, -0.4, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -462821*z + 4165390. What is w(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 10*f + 3. Let o be n(-10). Suppose 3*u + o*c - 220 = c, -u + 75 = c. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.128355 and 3.\nAnswer: 0.385065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*q + 65*q + 2 = 0. Let o(p) = 314*p**3 - p**2 + p. What is the tens digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (5*(1 + sqrt(288)) - sqrt(288))**2) - (2*(sqrt(288) + -4) + sqrt(288)*-4*3).\nAnswer: -13882 - 1320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 113 (b) -3\/275 (c) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 234, -4, 4.\nAnswer: -5, -4, 4, 12, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42286780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 4) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1265.127 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bggggggggfgbqqgbbggq. What is prob of sequence bgfq?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1263129 + 43.2.\nAnswer: 1263172.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 74*b + 1. Is q(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = t - 21, 4*t - 3*l - 54 = 0. Suppose -c = 2*c - t. Suppose z - 17 = m + 6, 60 = 2*z + c*m. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -787 (b) 0.4 (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 42\/13 and -187 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -t - n + 44, -5*n = -t + 64. Suppose -452 + 101 = -t*s. Solve 2*a - y + 0*y + s = 0, -5*a + y = 21 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 11. Let x be m(8). Suppose -3*t = 5*j + 14, 0*j + 3*t = -3*j - 12. Let f = j + x. Solve f*y + 25 = 7*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 53 = 13. Let m = p - -22. Let c = m - -23. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2463499 is divided by 61?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 4. Let b be (-7 + 5)\/((-2)\/(-13)). Let m = b + 7. Let z be d(m). Let v(i) = 2*i**2 - 3*i. Calculate v(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 + 5.466\nAnswer: 5.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3f96 (base 16) to base 10.\nAnswer: -16278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -11)\/((-48)\/(-32)). Suppose 3*k - 2*k = 15. Let n = 15 - k. Solve -3*f - f - a = n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r - 2*r + 2*r)*(47 + 22 - 15 + 17).\nAnswer: 710*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 44*a - 30 in the form x + u*a and give u.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 513800470 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71205 (base 10) in base 5?\nAnswer: 4234310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 18 (c) 0.057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/135 - 91*d**4\/54 + 184*d**3\/27 + 2*d**2 - 25. Factor j(r).\nAnswer: -4*(r - 1)*(r + 92)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3463824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 11:44 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 939881 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -113\/11948?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(500) - sqrt(500)) + 1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(3 - 2) + (8 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -27987272.\nAnswer: -27987273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecpqcdc. What is prob of sequence dp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + 3*j)*(3 - 4 + 2)*(-5*j**2 - 5*j**2 + 8*j**2).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/17 (b) -2\/15 (c) -6.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 13, 19, 27, 37, 49, 63?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1 = 2*s + 11, -5*s + t - 60 = 0. Let x = -7 - s. Solve -4*l + 5 = -q + 4, 3*l + 9 = x*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 0, -3*t + 2*t = -j + 26. Let d(s) = s**2 + 35*s + 236. Let c be d(t). Solve 0*n = c*n - 2*y - 4, -5*y = -2*n + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5594190441 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8980*n**4*t + 1598*n**3*t - 6*n*t + 92693*n + 1 wrt n.\nAnswer: 107760*n**2*t + 9588*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28884, 28857, 28806, 28725, 28608?\n\"Answer: -c**3 - 6*c**2 - 2*c + 28893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - 105*p + 6 + 0*p**2 + 103*p)*(2 + 2 - 2).\nAnswer: -8*p**2 - 4*p + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose -t + 5*a + 5 = 0, t + t = l*a + 2. Suppose 2*p + 5*n - 50 = t, 3*p = -n + 60 + 41. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/11 - -32\/55. Let i = -5 + 10. Let g be ((-1)\/3)\/(i\/(-20)). Put j, -5, g in descending order.\nAnswer: g, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28021 + 6165. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1608436229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bekeeeeeeee. What is prob of picking 1 e and 1 k?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2) - 4\/276*213. Let f = 47 - 34. Which is the second smallest value? (a) t (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 84, -2, 0, 2\/11, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(3 + -6) - -4. Suppose 5*m - 7 - 3 = 0. Find the third derivative of -3*g**4 + 2*g**4 + m*g**2 - g**d wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 734858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -0.5 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -691, -2526, -5637, -10156, -16215, -23946?\n\"Answer: -22*z**3 - 506*z**2 - 163*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -2918*w**5\/5 + 3239*w - 2163. What is the first derivative of b(y) wrt y?\nAnswer: -11672*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**4 + 112081*d**2 - 740284.\nAnswer: -12*d**3 + 224162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 422, 756, 1162, 1634, 2166?\nAnswer: 2752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 41194430.\nAnswer: 41194429.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20\/9 - -176\/63. Let t = 11 + -15. Let u = t + 4.2. Which is the nearest to -2? (a) i (b) 2\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 473233231?\nAnswer: -473233233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20369, 40126, 59277, 77828, 95785, 113154, 129941, 146152?\nAnswer: 161793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + x - 4*x + 4, 16 = 4*x. Solve -1 = j*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.12 - -1.88. Which is the closest to -2\/11? (a) 2\/3 (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*(3 - 3))\/(-1). Suppose 4*u + 4*s + h*s = 4, -9 = u - s. Let o(q) be the first derivative of q**2 + q + 112. Give o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v + 0*v + 4*v + 6 - 3*v - 3*v + 7*v + (-5 + 2 + 4)*(5*v - 3*v + 0*v) - 5*v + 0*v + 4*v - v - 7*v + 35*v.\nAnswer: 26*v + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 22 = -258. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2964 in -0.2, -0.8, 2, 1\/162?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3750 divided by -3?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2303 + 2447. Does 154 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16021957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644, -645, -646, -647, -648?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -14. Let o = 12.7959987 - 1.7959819. Let c = o - j. What is c rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 12) in base 8?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -212, -224, -244, -272, -308?\n\"Answer: -4*k**2 - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9d4 + 24d?\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -10*r + 7*r + 3*h, -4*r - 10*h = 26 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/1715*-7*10.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-210)*(0 + 0). Let t(j) be the third derivative of -24*j**2 - 1\/24*j**4 + 1\/30*j**5 + 0 + 0*j + 1\/60*j**6 + a*j**3. Determine t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i. Suppose 3*h = 11 + 4. Let c(g) = h*g - 3*g + g. What is c(a(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.2 - 0.4?\nAnswer: 44.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 120*g + 106*g - 63*g.\nAnswer: 163*g - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3754*s + 91 = -3767*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26715778?\nAnswer: 2, 13357889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17804 divided by -414?\nAnswer: -8902\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*r = -20 + 159 + 932. Solve -r = 21*x - 101 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 < -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxjxjz. What is prob of sequence jzj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 262159777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1491994 and 17537?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 8*r - 5. Let w be j(-5). Solve w*d - 3 = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (18 + -2 - -131 - 48)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 164*g**3 + 3*g**2 + 6. Let i(c) = 164*c**3 + 2*c**2 + 4. Determine -2*a(v) + 3*i(v).\nAnswer: 164*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175922178 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + 63 + (-1351 - -1329)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109996583, -109996580, -109996577, -109996574, -109996571?\nAnswer: -109996568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -627000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2596*g + 72702. Determine o(28).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/27)\/(2\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 66)*2\/12*3. Let p be 28\/(-4)*12\/(-7). Calculate the highest common factor of p and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p + 11*p + 5*p + 20 + 7*p. Is g(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**2 + 101*q + q**3 - 173*q - 14*q**2 + 10 + 76*q. Calculate l(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6*u - 16 = -2*u, -g + 5*u = -20. Suppose 0 = -s - 4*m + 5 - 15, m + 4 = 0. Suppose -14*o + 16*o + s = g. Are -6 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -3 - -7) + -1 - (-14 - -29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37.3 - -35.3. Suppose 15 = -4*q - 5. Let o be (-1)\/(((-21)\/(-2))\/(-3)). Which is the nearest to 1? (a) l (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(832) + 0)*-1 + (sqrt(832) - (1 + sqrt(832)*2)))**2 + 0)*4.\nAnswer: 128*sqrt(13) + 13316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/29871 and -25\/6?\nAnswer: 59742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 91. Suppose 0 = 19*h - 14*h - s. Calculate the highest common divisor of h and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -209, -425, -653, -899, -1169?\n\"Answer: -v**3 - 209*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Suppose -a = b*a. Let y(n) = n + 12. What are the prime factors of y(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 19 + 18 + 16 - 507*b**3 - 74.\nAnswer: -507*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 11, u: 3}. Give prob of sequence iuu.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*a - 84*a + 171*a + 8*a**2 to i + s*a + t*a**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 11:46 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 921.6.\nAnswer: -921.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**7\/70 - p**3\/6 - 2*p**2 - 1. Let u(t) be the second derivative of z(t). What is the first derivative of u(c) wrt c?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -12*a**5\/5 - 13*a**2\/2 + 6. What is the second derivative of i(q) wrt q?\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -124023ac - 4?\nAnswer: -124023b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-2 - (13 + -11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-12) - 334\/156. Let p = -43 - -41. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -4, 32, -15, 2\/7?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -37. Let y(b) = -2*b + 17. Let f be y(12). Let o(t) = t**2 + 3*t - 7. Let q be o(f). What is the greatest common divisor of q and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 5, s: 7}. What is prob of sequence gs?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 27\/8*f**3 - 15\/4*f + 0 - 33\/8*f**2 + 33\/8*f**4 + 3\/8*f**5 = 0. What is f?\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2013\/(-8723) - (-129)\/221?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - j - 12. Suppose 0*a = 2*a. Sort j, -2, a.\nAnswer: j, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.92 + 0.08. Let m = 241 + -242. Sort m, s, -21 in descending order.\nAnswer: s, m, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 7:40 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*d, -4*g + 4*d - 21 + 1 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -45, -3\/2, 2, -2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24197, 8, 2\/37 in increasing order.\nAnswer: -24197, 2\/37, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 1047 in increasing order.\nAnswer: 2, 11, 1047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 1:01 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -3282690.\nAnswer: -1\/3282690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 4:40 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 4*m - 2*l, 2*l + 107 = -m + 164 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 0*p - 400*p**2.\nAnswer: -400*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(68) + (((sqrt(68) - (sqrt(68) + sqrt(68)*2) - sqrt(68)) + sqrt(68) - sqrt(68))*-6 + sqrt(68) - sqrt(68))))\/(-5*-1*sqrt(484)))**2.\nAnswer: 220932\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-3))\/(-4*14\/56)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7526*j - 218226. Calculate t(29).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}